%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE169-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:16:43 EDT 2024

% Result   : Unsatisfiable 25.92s 26.11s
% Output   : Proof 25.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE169-10 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 27 01:35:54 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.50/10.68  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.53/15.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.52/20.75  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.59/25.79  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.92/26.11  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.wXsoFKmB5o/cvc5---1.0.5_22714.smt2
% 25.92/26.11  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.wXsoFKmB5o/cvc5---1.0.5_22714.smt2
% 25.92/26.16  (assume a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)))
% 25.92/26.16  (assume a1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))
% 25.92/26.16  (assume a2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))
% 25.92/26.16  (assume a3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))
% 25.92/26.16  (assume a4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))
% 25.92/26.16  (assume a5 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))
% 25.92/26.16  (assume a6 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))
% 25.92/26.16  (assume a7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))
% 25.92/26.16  (assume a8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))
% 25.92/26.16  (assume a9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))
% 25.92/26.16  (assume a10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))
% 25.92/26.16  (assume a11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))
% 25.92/26.16  (assume a12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))
% 25.92/26.16  (assume a13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))
% 25.92/26.16  (assume a14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B)))
% 25.92/26.16  (assume a15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true)))
% 25.92/26.16  (assume a16 (forall ((A $$unsorted)) (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication A (tptp.star A))) (tptp.star A)) tptp.true)))
% 25.92/26.16  (assume a17 (forall ((A $$unsorted)) (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)) tptp.true)))
% 25.92/26.16  (assume a18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) tptp.true (tptp.leq (tptp.multiplication (tptp.star A) C) B) tptp.true) tptp.true)))
% 25.92/26.16  (assume a19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) tptp.true (tptp.leq (tptp.multiplication C (tptp.star B)) A) tptp.true) tptp.true)))
% 25.92/26.16  (assume a20 (= tptp.sigma (tptp.addition tptp.a tptp.b)))
% 25.92/26.16  (assume a21 (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true)))
% 25.92/26.16  (step t1 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) :rule implies_neg1)
% 25.92/26.16  (anchor :step t2)
% 25.92/26.16  (assume t2.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))
% 25.92/26.16  (step t2.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule forall_inst :args ((:= A (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (:= B (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (:= C tptp.true)))
% 25.92/26.16  (step t2.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule or :premises (t2.t1))
% 25.92/26.16  (step t2.t3 (cl (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule resolution :premises (t2.t2 t2.a0))
% 25.92/26.16  (step t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule subproof :discharge (t2.a0))
% 25.92/26.16  (step t3 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule resolution :premises (t1 t2))
% 25.92/26.16  (step t4 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule implies_neg2)
% 25.92/26.16  (step t5 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t3 t4))
% 25.92/26.16  (step t6 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule contraction :premises (t5))
% 25.92/26.16  (step t7 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule implies :premises (t6))
% 25.92/26.16  (step t8 (cl (not (= (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))))) (not (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) (or (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule equiv_pos2)
% 25.92/26.16  (step t9 (cl (= (= (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) true) (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule equiv_simplify)
% 25.92/26.16  (step t10 (cl (not (= (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) true)) (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule equiv1 :premises (t9))
% 25.92/26.16  (step t11 (cl (= (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))))) :rule all_simplify)
% 25.92/26.16  (step t12 (cl (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule refl)
% 25.92/26.16  (step t13 (cl (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule all_simplify)
% 25.92/26.16  (step t14 (cl (= (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule cong :premises (t12 t13))
% 25.92/26.16  (step t15 (cl (= (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) true)) :rule all_simplify)
% 25.92/26.16  (step t16 (cl (= (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) true)) :rule trans :premises (t14 t15))
% 25.92/26.16  (step t17 (cl (= (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) true)) :rule trans :premises (t11 t16))
% 25.92/26.16  (step t18 (cl (= (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule resolution :premises (t10 t17))
% 25.92/26.16  (step t19 (cl (= (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule refl)
% 25.92/26.16  (step t20 (cl (= (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule refl)
% 25.92/26.16  (step t21 (cl (= (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule refl)
% 25.92/26.16  (step t22 (cl (= (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule refl)
% 25.92/26.16  (step t23 (cl (= (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule refl)
% 25.92/26.16  (step t24 (cl (= (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t25 (cl (= (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t26 (cl (= (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule refl)
% 25.92/26.16  (step t27 (cl (= (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule refl)
% 25.92/26.16  (step t28 (cl (= (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t29 (cl (= (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t30 (cl (= (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))))) :rule refl)
% 25.92/26.16  (step t31 (cl (= (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t32 (cl (= (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))))) :rule refl)
% 25.92/26.16  (step t33 (cl (= (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule refl)
% 25.92/26.16  (step t34 (cl (= (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))))) :rule refl)
% 25.92/26.16  (step t35 (cl (= (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))))) :rule refl)
% 25.92/26.16  (step t36 (cl (= (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule refl)
% 25.92/26.16  (step t37 (cl (= (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))))) :rule cong :premises (t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33 t34 t35 t36))
% 25.92/26.16  (step t38 (cl (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule and_neg)
% 25.92/26.16  (step t39 (cl (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule implies_neg1)
% 25.92/26.16  (anchor :step t40)
% 25.92/26.16  (assume t40.a0 (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))
% 25.92/26.16  (assume t40.a1 (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))
% 25.92/26.16  (assume t40.a2 (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))
% 25.92/26.16  (assume t40.a3 (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))
% 25.92/26.16  (assume t40.a4 (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))
% 25.92/26.16  (assume t40.a5 (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.a6 (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a7 (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a8 (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.a9 (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.a10 (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a11 (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a12 (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))))
% 25.92/26.16  (assume t40.a13 (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a14 (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))
% 25.92/26.16  (assume t40.a15 (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.a16 (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))
% 25.92/26.16  (assume t40.a17 (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))
% 25.92/26.16  (step t40.t1 (cl (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg1)
% 25.92/26.16  (anchor :step t40.t2)
% 25.92/26.16  (assume t40.t2.a0 (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))
% 25.92/26.16  (assume t40.t2.a1 (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.t2.a2 (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))
% 25.92/26.16  (assume t40.t2.a3 (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.t2.a4 (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))
% 25.92/26.16  (assume t40.t2.a5 (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))
% 25.92/26.16  (assume t40.t2.a6 (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))
% 25.92/26.16  (assume t40.t2.a7 (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.t2.a8 (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))
% 25.92/26.16  (assume t40.t2.a9 (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))
% 25.92/26.16  (assume t40.t2.a10 (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))))
% 25.92/26.16  (assume t40.t2.a11 (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.t2.a12 (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))
% 25.92/26.16  (assume t40.t2.a13 (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.t2.a14 (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.t2.a15 (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.16  (assume t40.t2.a16 (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (assume t40.t2.a17 (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.16  (step t40.t2.t1 (cl (= (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule equiv_simplify)
% 25.92/26.16  (step t40.t2.t2 (cl (not (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false)) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule equiv1 :premises (t40.t2.t1))
% 25.92/26.16  (step t40.t2.t3 (cl (not (= (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false))) (not (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false)) (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false)) :rule equiv_pos2)
% 25.92/26.16  (step t40.t2.t4 (cl (= (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (not (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule all_simplify)
% 25.92/26.16  (step t40.t2.t5 (cl (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule all_simplify)
% 25.92/26.16  (step t40.t2.t6 (cl (= (not (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule cong :premises (t40.t2.t5))
% 25.92/26.16  (step t40.t2.t7 (cl (= (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule trans :premises (t40.t2.t4 t40.t2.t6))
% 25.92/26.16  (step t40.t2.t8 (cl (= (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule all_simplify)
% 25.92/26.16  (step t40.t2.t9 (cl (= (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false))) :rule symm :premises (t40.t2.t8))
% 25.92/26.16  (step t40.t2.t10 (cl (= (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false))) :rule trans :premises (t40.t2.t7 t40.t2.t9))
% 25.92/26.16  (step t40.t2.t11 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule refl)
% 25.92/26.16  (step t40.t2.t12 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.a13))
% 25.92/26.16  (step t40.t2.t13 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a))) :rule refl)
% 25.92/26.16  (step t40.t2.t14 (cl (= (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) :rule symm :premises (t40.t2.a5))
% 25.92/26.16  (step t40.t2.t15 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule cong :premises (t40.t2.t13 t40.t2.t14))
% 25.92/26.16  (step t40.t2.t16 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule symm :premises (t40.t2.a4))
% 25.92/26.16  (step t40.t2.t17 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule trans :premises (t40.t2.t12 t40.t2.t15 t40.t2.t16))
% 25.92/26.16  (step t40.t2.t18 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) :rule refl)
% 25.92/26.16  (step t40.t2.t19 (cl (= (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule cong :premises (t40.t2.t17 t40.t2.t18))
% 25.92/26.16  (step t40.t2.t20 (cl (= (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.t19))
% 25.92/26.16  (step t40.t2.t21 (cl (= (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule symm :premises (t40.t2.a17))
% 25.92/26.16  (step t40.t2.t22 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)))) :rule refl)
% 25.92/26.16  (step t40.t2.t23 (cl (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule symm :premises (t40.t2.a10))
% 25.92/26.16  (step t40.t2.t24 (cl (= (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule symm :premises (t40.t2.a15))
% 25.92/26.16  (step t40.t2.t25 (cl (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule symm :premises (t40.t2.t24))
% 25.92/26.16  (step t40.t2.t26 (cl (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule refl)
% 25.92/26.16  (step t40.t2.t27 (cl (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true)) :rule symm :premises (t40.t2.a11))
% 25.92/26.16  (step t40.t2.t28 (cl (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule refl)
% 25.92/26.16  (step t40.t2.t29 (cl (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) :rule refl)
% 25.92/26.16  (step t40.t2.t30 (cl (= (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule cong :premises (t40.t2.t26 t40.t2.t27 t40.t2.t28 t40.t2.t29))
% 25.92/26.16  (step t40.t2.t31 (cl (= (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) :rule symm :premises (t40.t2.a14))
% 25.92/26.16  (step t40.t2.t32 (cl (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.star (tptp.addition tptp.a tptp.b)))) :rule trans :premises (t40.t2.t23 t40.t2.t25 t40.t2.t30 t40.t2.t31))
% 25.92/26.16  (step t40.t2.t33 (cl (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule cong :premises (t40.t2.t32 t40.t2.t18))
% 25.92/26.16  (step t40.t2.t34 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.t33))
% 25.92/26.16  (step t40.t2.t35 (cl (= (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) :rule symm :premises (t40.t2.a1))
% 25.92/26.16  (step t40.t2.t36 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule symm :premises (t40.t2.a0))
% 25.92/26.16  (step t40.t2.t37 (cl (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule symm :premises (t40.t2.t36))
% 25.92/26.16  (step t40.t2.t38 (cl (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule refl)
% 25.92/26.16  (step t40.t2.t39 (cl (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) :rule symm :premises (t40.t2.a9))
% 25.92/26.16  (step t40.t2.t40 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule cong :premises (t40.t2.t38 t40.t2.t39))
% 25.92/26.16  (step t40.t2.t41 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.t35))
% 25.92/26.16  (step t40.t2.t42 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule cong :premises (t40.t2.t39 t40.t2.t41))
% 25.92/26.16  (step t40.t2.t43 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule trans :premises (t40.t2.a9 t40.t2.t37 t40.t2.t40 t40.t2.t42))
% 25.92/26.16  (step t40.t2.t44 (cl (= (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule trans :premises (t40.t2.t35 t40.t2.t43))
% 25.92/26.16  (step t40.t2.t45 (cl (= (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule refl)
% 25.92/26.16  (step t40.t2.t46 (cl (= (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule cong :premises (t40.t2.t44 t40.t2.t45))
% 25.92/26.16  (step t40.t2.t47 (cl (= (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule symm :premises (t40.t2.a12))
% 25.92/26.16  (step t40.t2.t48 (cl (= (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.a2))
% 25.92/26.16  (step t40.t2.t49 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule symm :premises (t40.t2.a16))
% 25.92/26.16  (step t40.t2.t50 (cl (= (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule trans :premises (t40.t2.t48 t40.t2.t33 t40.t2.t49))
% 25.92/26.16  (step t40.t2.t51 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule cong :premises (t40.t2.t18 t40.t2.t50))
% 25.92/26.16  (step t40.t2.t52 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.a3))
% 25.92/26.16  (step t40.t2.t53 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule trans :premises (t40.t2.a16 t40.t2.t34 t40.t2.a2 t40.t2.t46 t40.t2.t47 t40.t2.t51 t40.t2.t52))
% 25.92/26.16  (step t40.t2.t54 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule cong :premises (t40.t2.t22 t40.t2.t53))
% 25.92/26.16  (step t40.t2.t55 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule symm :premises (t40.t2.t54))
% 25.92/26.16  (step t40.t2.t56 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule trans :premises (t40.t2.a7 t40.t2.t20 t40.t2.t21 t40.t2.t55 t40.t2.t12 t40.t2.t15 t40.t2.t16))
% 25.92/26.16  (step t40.t2.t57 (cl (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule refl)
% 25.92/26.16  (step t40.t2.t58 (cl (= tptp.true tptp.true)) :rule refl)
% 25.92/26.16  (step t40.t2.t59 (cl (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule cong :premises (t40.t2.t11 t40.t2.t56 t40.t2.t57 t40.t2.t58))
% 25.92/26.16  (step t40.t2.t60 (cl (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) tptp.true)) :rule symm :premises (t40.t2.a8))
% 25.92/26.16  (step t40.t2.t61 (cl (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) tptp.true)) :rule trans :premises (t40.t2.t59 t40.t2.t60))
% 25.92/26.16  (step t40.t2.t62 (cl (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule cong :premises (t40.t2.t61 t40.t2.t57))
% 25.92/26.16  (step t40.t2.t63 (cl (= (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule equiv_simplify)
% 25.92/26.16  (step t40.t2.t64 (cl (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule equiv2 :premises (t40.t2.t63))
% 25.92/26.16  (step t40.t2.t65 (cl (not (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule not_not)
% 25.92/26.16  (step t40.t2.t66 (cl (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule resolution :premises (t40.t2.t64 t40.t2.t65))
% 25.92/26.16  (step t40.t2.t67 (cl (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false)) :rule resolution :premises (t40.t2.t66 t40.t2.a6))
% 25.92/26.16  (step t40.t2.t68 (cl (= (= (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) false)) :rule trans :premises (t40.t2.t62 t40.t2.t67))
% 25.92/26.16  (step t40.t2.t69 (cl (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) false)) :rule resolution :premises (t40.t2.t3 t40.t2.t10 t40.t2.t68))
% 25.92/26.16  (step t40.t2.t70 (cl (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t40.t2.t2 t40.t2.t69))
% 25.92/26.16  (step t40.t2 (cl (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule subproof :discharge (t40.t2.a0 t40.t2.a1 t40.t2.a2 t40.t2.a3 t40.t2.a4 t40.t2.a5 t40.t2.a6 t40.t2.a7 t40.t2.a8 t40.t2.a9 t40.t2.a10 t40.t2.a11 t40.t2.a12 t40.t2.a13 t40.t2.a14 t40.t2.a15 t40.t2.a16 t40.t2.a17))
% 25.92/26.16  (step t40.t3 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 25.92/26.16  (step t40.t4 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.16  (step t40.t5 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule and_pos)
% 25.92/26.16  (step t40.t6 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.16  (step t40.t7 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 25.92/26.16  (step t40.t8 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule and_pos)
% 25.92/26.16  (step t40.t9 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule and_pos)
% 25.92/26.16  (step t40.t10 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.16  (step t40.t11 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule and_pos)
% 25.92/26.16  (step t40.t12 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule and_pos)
% 25.92/26.16  (step t40.t13 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule and_pos)
% 25.92/26.16  (step t40.t14 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.16  (step t40.t15 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule and_pos)
% 25.92/26.16  (step t40.t16 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.16  (step t40.t17 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.16  (step t40.t18 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.17  (step t40.t19 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t40.t20 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t40.t21 (cl (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule resolution :premises (t40.t2 t40.t3 t40.t4 t40.t5 t40.t6 t40.t7 t40.t8 t40.t9 t40.t10 t40.t11 t40.t12 t40.t13 t40.t14 t40.t15 t40.t16 t40.t17 t40.t18 t40.t19 t40.t20))
% 25.92/26.17  (step t40.t22 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule reordering :premises (t40.t21))
% 25.92/26.17  (step t40.t23 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule contraction :premises (t40.t22))
% 25.92/26.17  (step t40.t24 (cl (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t40.t1 t40.t23))
% 25.92/26.17  (step t40.t25 (cl (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule implies_neg2)
% 25.92/26.17  (step t40.t26 (cl (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule resolution :premises (t40.t24 t40.t25))
% 25.92/26.17  (step t40.t27 (cl (=> (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule contraction :premises (t40.t26))
% 25.92/26.17  (step t40.t28 (cl (not (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule implies :premises (t40.t27))
% 25.92/26.17  (step t40.t29 (cl (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule and_neg)
% 25.92/26.17  (step t40.t30 (cl (and (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t40.t29 t40.a16 t40.a15 t40.a14 t40.a13 t40.a1 t40.a3 t40.a0 t40.a6 t40.a4 t40.a2 t40.a12 t40.a5 t40.a17 t40.a7 t40.a8 t40.a9 t40.a10 t40.a11))
% 25.92/26.17  (step t40.t31 (cl (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t40.t28 t40.t30))
% 25.92/26.17  (step t40 (cl (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule subproof :discharge (t40.a0 t40.a1 t40.a2 t40.a3 t40.a4 t40.a5 t40.a6 t40.a7 t40.a8 t40.a9 t40.a10 t40.a11 t40.a12 t40.a13 t40.a14 t40.a15 t40.a16 t40.a17))
% 25.92/26.17  (step t41 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule and_pos)
% 25.92/26.17  (step t42 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 25.92/26.17  (step t43 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule and_pos)
% 25.92/26.17  (step t44 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule and_pos)
% 25.92/26.17  (step t45 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule and_pos)
% 25.92/26.17  (step t46 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.17  (step t47 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t48 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t49 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.17  (step t50 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule and_pos)
% 25.92/26.17  (step t51 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t52 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t53 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule and_pos)
% 25.92/26.17  (step t54 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t55 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule and_pos)
% 25.92/26.17  (step t56 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule and_pos)
% 25.92/26.17  (step t57 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 25.92/26.17  (step t58 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule and_pos)
% 25.92/26.17  (step t59 (cl (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))))) :rule resolution :premises (t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58))
% 25.92/26.17  (step t60 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule reordering :premises (t59))
% 25.92/26.17  (step t61 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule contraction :premises (t60))
% 25.92/26.17  (step t62 (cl (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t39 t61))
% 25.92/26.17  (step t63 (cl (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule implies_neg2)
% 25.92/26.17  (step t64 (cl (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule resolution :premises (t62 t63))
% 25.92/26.17  (step t65 (cl (=> (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule contraction :premises (t64))
% 25.92/26.17  (step t66 (cl (not (and (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule implies :premises (t65))
% 25.92/26.17  (step t67 (cl (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t38 t66))
% 25.92/26.17  (step t68 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))))) :rule or_neg)
% 25.92/26.17  (step t69 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule or_neg)
% 25.92/26.17  (step t70 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule or_neg)
% 25.92/26.17  (step t71 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule or_neg)
% 25.92/26.17  (step t72 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule or_neg)
% 25.92/26.17  (step t73 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule or_neg)
% 25.92/26.17  (step t74 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t75 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t76 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule or_neg)
% 25.92/26.17  (step t77 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule or_neg)
% 25.92/26.17  (step t78 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t79 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t80 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))))) :rule or_neg)
% 25.92/26.17  (step t81 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t82 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))))) :rule or_neg)
% 25.92/26.17  (step t83 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule or_neg)
% 25.92/26.17  (step t84 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))))) :rule or_neg)
% 25.92/26.17  (step t85 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))))) :rule or_neg)
% 25.92/26.17  (step t86 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (not (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule or_neg)
% 25.92/26.17  (step t87 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule resolution :premises (t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83 t84 t85 t86))
% 25.92/26.17  (step t88 (cl (or (not (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule contraction :premises (t87))
% 25.92/26.17  (step t89 (cl (or (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))))) :rule resolution :premises (t8 t37 t88))
% 25.92/26.17  (step t90 (cl (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule or :premises (t89))
% 25.92/26.17  (step t91 (cl (not (= (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true)) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) (not (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule equiv_pos2)
% 25.92/26.17  (step t92 (cl (= (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a))))))) :rule all_simplify)
% 25.92/26.17  (step t93 (cl (= (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true)) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))))))) :rule cong :premises (t92))
% 25.92/26.17  (step t94 (cl (= tptp.true tptp.true)) :rule refl)
% 25.92/26.17  (step t95 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) :rule refl)
% 25.92/26.17  (step t96 (cl (= (tptp.star tptp.sigma) (tptp.star (tptp.addition tptp.a tptp.b)))) :rule cong :premises (a20))
% 25.92/26.17  (step t97 (cl (= tptp.a tptp.a)) :rule refl)
% 25.92/26.17  (step t98 (cl (= (tptp.multiplication tptp.sigma tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) :rule cong :premises (a20 t97))
% 25.92/26.17  (step t99 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule cong :premises (t97 t98))
% 25.92/26.17  (step t100 (cl (= (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule cong :premises (t96 t99))
% 25.92/26.17  (step t101 (cl (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))) :rule cong :premises (t95 t100))
% 25.92/26.17  (step t102 (cl (= (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a))))) (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule cong :premises (t94 t101))
% 25.92/26.17  (step t103 (cl (= (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))))) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule cong :premises (t102))
% 25.92/26.17  (step t104 (cl (= (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star tptp.sigma) (tptp.multiplication tptp.a (tptp.multiplication tptp.sigma tptp.a)))) tptp.true)) (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))))))) :rule trans :premises (t93 t103))
% 25.92/26.17  (step t105 (cl (not (= tptp.true (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))) :rule resolution :premises (t91 t104 a21))
% 25.92/26.17  (step t106 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t107)
% 25.92/26.17  (assume t107.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))
% 25.92/26.17  (step t107.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule forall_inst :args ((:= A (tptp.star (tptp.addition tptp.a tptp.b))) (:= B tptp.a) (:= C (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))
% 25.92/26.17  (step t107.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule or :premises (t107.t1))
% 25.92/26.17  (step t107.t3 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t107.t2 t107.a0))
% 25.92/26.17  (step t107 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule subproof :discharge (t107.a0))
% 25.92/26.17  (step t108 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t106 t107))
% 25.92/26.17  (step t109 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule implies_neg2)
% 25.92/26.17  (step t110 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule resolution :premises (t108 t109))
% 25.92/26.17  (step t111 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))) :rule contraction :premises (t110))
% 25.92/26.17  (step t112 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule implies :premises (t111))
% 25.92/26.17  (step t113 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t112 a7))
% 25.92/26.17  (step t114 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t115)
% 25.92/26.17  (assume t115.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))
% 25.92/26.17  (step t115.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule forall_inst :args ((:= A tptp.a) (:= B tptp.b) (:= C tptp.a)))
% 25.92/26.17  (step t115.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule or :premises (t115.t1))
% 25.92/26.17  (step t115.t3 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule resolution :premises (t115.t2 t115.a0))
% 25.92/26.17  (step t115 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule subproof :discharge (t115.a0))
% 25.92/26.17  (step t116 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule resolution :premises (t114 t115))
% 25.92/26.17  (step t117 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule implies_neg2)
% 25.92/26.17  (step t118 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t116 t117))
% 25.92/26.17  (step t119 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule contraction :premises (t118))
% 25.92/26.17  (step t120 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule implies :premises (t119))
% 25.92/26.17  (step t121 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))) :rule resolution :premises (t120 a7))
% 25.92/26.17  (step t122 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t123)
% 25.92/26.17  (assume t123.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))
% 25.92/26.17  (step t123.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule forall_inst :args ((:= A tptp.a) (:= B tptp.b) (:= C tptp.a)))
% 25.92/26.17  (step t123.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule or :premises (t123.t1))
% 25.92/26.17  (step t123.t3 (cl (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule resolution :premises (t123.t2 t123.a0))
% 25.92/26.17  (step t123 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule subproof :discharge (t123.a0))
% 25.92/26.17  (step t124 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule resolution :premises (t122 t123))
% 25.92/26.17  (step t125 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule implies_neg2)
% 25.92/26.17  (step t126 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t124 t125))
% 25.92/26.17  (step t127 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule contraction :premises (t126))
% 25.92/26.17  (step t128 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule implies :premises (t127))
% 25.92/26.17  (step t129 (cl (= (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule resolution :premises (t128 a11))
% 25.92/26.17  (step t130 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t131)
% 25.92/26.17  (assume t131.a0 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))))
% 25.92/26.17  (step t131.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule forall_inst :args ((:= A (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (:= B (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))
% 25.92/26.17  (step t131.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule or :premises (t131.t1))
% 25.92/26.17  (step t131.t3 (cl (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule resolution :premises (t131.t2 t131.a0))
% 25.92/26.17  (step t131 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule subproof :discharge (t131.a0))
% 25.92/26.17  (step t132 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule resolution :premises (t130 t131))
% 25.92/26.17  (step t133 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (not (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule implies_neg2)
% 25.92/26.17  (step t134 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t132 t133))
% 25.92/26.17  (step t135 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule contraction :premises (t134))
% 25.92/26.17  (step t136 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule implies :premises (t135))
% 25.92/26.17  (step t137 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))))) (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true))) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t138 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B)))
% 25.92/26.17  (step t138.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t138.t2 (cl (= B B)) :rule refl)
% 25.92/26.17  (step t138.t3 (cl (= (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) :rule all_simplify)
% 25.92/26.17  (step t138 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))))) :rule bind)
% 25.92/26.17  (step t139 (cl (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true)))) :rule resolution :premises (t137 t138 a15))
% 25.92/26.17  (step t140 (cl (= tptp.true (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true))) :rule resolution :premises (t136 t139))
% 25.92/26.17  (step t141 (cl (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t142)
% 25.92/26.17  (assume t142.a0 (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))))
% 25.92/26.17  (step t142.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule forall_inst :args ((:= A (tptp.addition tptp.a tptp.b))))
% 25.92/26.17  (step t142.t2 (cl (not (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule or :premises (t142.t1))
% 25.92/26.17  (step t142.t3 (cl (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t142.t2 t142.a0))
% 25.92/26.17  (step t142 (cl (not (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule subproof :discharge (t142.a0))
% 25.92/26.17  (step t143 (cl (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t141 t142))
% 25.92/26.17  (step t144 (cl (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule implies_neg2)
% 25.92/26.17  (step t145 (cl (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule resolution :premises (t143 t144))
% 25.92/26.17  (step t146 (cl (=> (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule contraction :premises (t145))
% 25.92/26.17  (step t147 (cl (not (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule implies :premises (t146))
% 25.92/26.17  (step t148 (cl (not (= (forall ((A $$unsorted)) (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)) tptp.true)) (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))))) (not (forall ((A $$unsorted)) (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)) tptp.true))) (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t149 :args ((A $$unsorted) (:= A A)))
% 25.92/26.17  (step t149.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t149.t2 (cl (= (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)) tptp.true) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) :rule all_simplify)
% 25.92/26.17  (step t149 (cl (= (forall ((A $$unsorted)) (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)) tptp.true)) (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A)))))) :rule bind)
% 25.92/26.17  (step t150 (cl (forall ((A $$unsorted)) (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star A) A)) (tptp.star A))))) :rule resolution :premises (t148 t149 a17))
% 25.92/26.17  (step t151 (cl (= tptp.true (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t147 t150))
% 25.92/26.17  (step t152 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t153)
% 25.92/26.17  (assume t153.a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))
% 25.92/26.17  (step t153.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule forall_inst :args ((:= A (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (:= B (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))))))
% 25.92/26.17  (step t153.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule or :premises (t153.t1))
% 25.92/26.17  (step t153.t3 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t153.t2 t153.a0))
% 25.92/26.17  (step t153 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule subproof :discharge (t153.a0))
% 25.92/26.17  (step t154 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t152 t153))
% 25.92/26.17  (step t155 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg2)
% 25.92/26.17  (step t156 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t154 t155))
% 25.92/26.17  (step t157 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule contraction :premises (t156))
% 25.92/26.17  (step t158 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t157))
% 25.92/26.17  (step t159 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t158 a3))
% 25.92/26.17  (step t160 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t161)
% 25.92/26.17  (assume t161.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))
% 25.92/26.17  (step t161.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule forall_inst :args ((:= A (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a)) (:= B (tptp.multiplication tptp.a tptp.a)) (:= C (tptp.multiplication tptp.b tptp.a))))
% 25.92/26.17  (step t161.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule or :premises (t161.t1))
% 25.92/26.17  (step t161.t3 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t161.t2 t161.a0))
% 25.92/26.17  (step t161 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule subproof :discharge (t161.a0))
% 25.92/26.17  (step t162 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t160 t161))
% 25.92/26.17  (step t163 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg2)
% 25.92/26.17  (step t164 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t162 t163))
% 25.92/26.17  (step t165 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule contraction :premises (t164))
% 25.92/26.17  (step t166 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t165))
% 25.92/26.17  (step t167 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.addition (tptp.multiplication tptp.a tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t166 a10))
% 25.92/26.17  (step t168 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t169)
% 25.92/26.17  (assume t169.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))))
% 25.92/26.17  (step t169.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule forall_inst :args ((:= A (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)))) (:= B (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.17  (step t169.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule or :premises (t169.t1))
% 25.92/26.17  (step t169.t3 (cl (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t169.t2 t169.a0))
% 25.92/26.17  (step t169 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule subproof :discharge (t169.a0))
% 25.92/26.17  (step t170 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t168 t169))
% 25.92/26.17  (step t171 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule implies_neg2)
% 25.92/26.17  (step t172 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule resolution :premises (t170 t171))
% 25.92/26.17  (step t173 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule contraction :premises (t172))
% 25.92/26.17  (step t174 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule implies :premises (t173))
% 25.92/26.17  (step t175 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))))) (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t176 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B)))
% 25.92/26.17  (step t176.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t176.t2 (cl (= B B)) :rule refl)
% 25.92/26.17  (step t176.t3 (cl (= (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) :rule all_simplify)
% 25.92/26.17  (step t176 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))))) :rule bind)
% 25.92/26.17  (step t177 (cl (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B)))) :rule resolution :premises (t175 t176 a14))
% 25.92/26.17  (step t178 (cl (= (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) tptp.true (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t174 t177))
% 25.92/26.17  (step t179 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t180)
% 25.92/26.17  (assume t180.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))
% 25.92/26.17  (step t180.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule forall_inst :args ((:= A (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (:= B (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (:= C (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.17  (step t180.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule or :premises (t180.t1))
% 25.92/26.17  (step t180.t3 (cl (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t180.t2 t180.a0))
% 25.92/26.17  (step t180 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule subproof :discharge (t180.a0))
% 25.92/26.17  (step t181 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t179 t180))
% 25.92/26.17  (step t182 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule implies_neg2)
% 25.92/26.17  (step t183 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule resolution :premises (t181 t182))
% 25.92/26.17  (step t184 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule contraction :premises (t183))
% 25.92/26.17  (step t185 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule implies :premises (t184))
% 25.92/26.17  (step t186 (cl (not (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t187 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B) (C $$unsorted) (:= C C)))
% 25.92/26.17  (step t187.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t187.t2 (cl (= B B)) :rule refl)
% 25.92/26.17  (step t187.t3 (cl (= C C)) :rule refl)
% 25.92/26.17  (step t187.t4 (cl (= (= (tptp.ifeq2 A A B C) B) (= B (tptp.ifeq2 A A B C)))) :rule all_simplify)
% 25.92/26.17  (step t187 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) :rule bind)
% 25.92/26.17  (step t188 (cl (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C)))) :rule resolution :premises (t186 t187 a1))
% 25.92/26.17  (step t189 (cl (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.ifeq2 (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t185 t188))
% 25.92/26.17  (step t190 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule equiv_pos2)
% 25.92/26.17  (step t191 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) :rule refl)
% 25.92/26.17  (step t192 (cl (= (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule all_simplify)
% 25.92/26.17  (step t193 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule cong :premises (t191 t192))
% 25.92/26.17  (step t194 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t195)
% 25.92/26.17  (assume t195.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))
% 25.92/26.17  (step t195.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule forall_inst :args ((:= A (tptp.star (tptp.addition tptp.a tptp.b))) (:= B tptp.a) (:= C (tptp.multiplication tptp.b tptp.a))))
% 25.92/26.17  (step t195.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule or :premises (t195.t1))
% 25.92/26.17  (step t195.t3 (cl (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule resolution :premises (t195.t2 t195.a0))
% 25.92/26.17  (step t195 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule subproof :discharge (t195.a0))
% 25.92/26.17  (step t196 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) :rule resolution :premises (t194 t195))
% 25.92/26.17  (step t197 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (not (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule implies_neg2)
% 25.92/26.17  (step t198 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t196 t197))
% 25.92/26.17  (step t199 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule contraction :premises (t198))
% 25.92/26.17  (step t200 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t190 t193 t199))
% 25.92/26.17  (step t201 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C)))) (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t200))
% 25.92/26.17  (step t202 (cl (= (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t201 a7))
% 25.92/26.17  (step t203 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t204)
% 25.92/26.17  (assume t204.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))
% 25.92/26.17  (step t204.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule forall_inst :args ((:= A (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a))) (:= B (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (:= C (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.17  (step t204.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule or :premises (t204.t1))
% 25.92/26.17  (step t204.t3 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t204.t2 t204.a0))
% 25.92/26.17  (step t204 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule subproof :discharge (t204.a0))
% 25.92/26.17  (step t205 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t203 t204))
% 25.92/26.17  (step t206 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg2)
% 25.92/26.17  (step t207 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t205 t206))
% 25.92/26.17  (step t208 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule contraction :premises (t207))
% 25.92/26.17  (step t209 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t208))
% 25.92/26.17  (step t210 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.addition (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.a tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t209 a4))
% 25.92/26.17  (step t211 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule equiv_pos2)
% 25.92/26.17  (step t212 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) :rule refl)
% 25.92/26.17  (step t213 (cl (= (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule all_simplify)
% 25.92/26.17  (step t214 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))))) :rule cong :premises (t212 t213))
% 25.92/26.17  (step t215 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t216)
% 25.92/26.17  (assume t216.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))
% 25.92/26.17  (step t216.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule forall_inst :args ((:= A tptp.one) (:= B (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (:= C (tptp.star (tptp.addition tptp.a tptp.b)))))
% 25.92/26.17  (step t216.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule or :premises (t216.t1))
% 25.92/26.17  (step t216.t3 (cl (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t216.t2 t216.a0))
% 25.92/26.17  (step t216 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule subproof :discharge (t216.a0))
% 25.92/26.17  (step t217 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) :rule resolution :premises (t215 t216))
% 25.92/26.17  (step t218 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (not (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule implies_neg2)
% 25.92/26.17  (step t219 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule resolution :premises (t217 t218))
% 25.92/26.17  (step t220 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule contraction :premises (t219))
% 25.92/26.17  (step t221 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))))))) :rule resolution :premises (t211 t214 t220))
% 25.92/26.17  (step t222 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule implies :premises (t221))
% 25.92/26.17  (step t223 (cl (= (tptp.addition (tptp.addition tptp.one (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b))) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))))) :rule resolution :premises (t222 a4))
% 25.92/26.17  (step t224 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t225)
% 25.92/26.17  (assume t225.a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))
% 25.92/26.17  (step t225.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule forall_inst :args ((:= A (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))) (:= B (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.17  (step t225.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule or :premises (t225.t1))
% 25.92/26.17  (step t225.t3 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t225.t2 t225.a0))
% 25.92/26.17  (step t225 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule subproof :discharge (t225.a0))
% 25.92/26.17  (step t226 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t224 t225))
% 25.92/26.17  (step t227 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg2)
% 25.92/26.17  (step t228 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t226 t227))
% 25.92/26.17  (step t229 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)))))) :rule contraction :premises (t228))
% 25.92/26.17  (step t230 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A)))) (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t229))
% 25.92/26.17  (step t231 (cl (= (tptp.addition (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) tptp.a) (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t230 a3))
% 25.92/26.17  (step t232 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t233)
% 25.92/26.17  (assume t233.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))
% 25.92/26.17  (step t233.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule forall_inst :args ((:= A tptp.one) (:= B (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (:= C (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.17  (step t233.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule or :premises (t233.t1))
% 25.92/26.17  (step t233.t3 (cl (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t233.t2 t233.a0))
% 25.92/26.17  (step t233 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule subproof :discharge (t233.a0))
% 25.92/26.17  (step t234 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t232 t233))
% 25.92/26.17  (step t235 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule implies_neg2)
% 25.92/26.17  (step t236 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule resolution :premises (t234 t235))
% 25.92/26.17  (step t237 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule contraction :premises (t236))
% 25.92/26.17  (step t238 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies :premises (t237))
% 25.92/26.17  (step t239 (cl (= (tptp.multiplication (tptp.addition tptp.one (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b)))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t238 a11))
% 25.92/26.17  (step t240 (cl (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t241)
% 25.92/26.17  (assume t241.a0 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))
% 25.92/26.17  (step t241.t1 (cl (or (not (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule forall_inst :args ((:= A (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))
% 25.92/26.17  (step t241.t2 (cl (not (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule or :premises (t241.t1))
% 25.92/26.17  (step t241.t3 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t241.t2 t241.a0))
% 25.92/26.17  (step t241 (cl (not (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule subproof :discharge (t241.a0))
% 25.92/26.17  (step t242 (cl (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t240 t241))
% 25.92/26.17  (step t243 (cl (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (not (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies_neg2)
% 25.92/26.17  (step t244 (cl (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t242 t243))
% 25.92/26.17  (step t245 (cl (=> (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule contraction :premises (t244))
% 25.92/26.17  (step t246 (cl (not (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule implies :premises (t245))
% 25.92/26.17  (step t247 (cl (not (= (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (not (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A))) (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t248 :args ((A $$unsorted) (:= A A)))
% 25.92/26.17  (step t248.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t248.t2 (cl (= (= (tptp.multiplication tptp.one A) A) (= A (tptp.multiplication tptp.one A)))) :rule all_simplify)
% 25.92/26.17  (step t248 (cl (= (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) :rule bind)
% 25.92/26.17  (step t249 (cl (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A)))) :rule resolution :premises (t247 t248 a9))
% 25.92/26.17  (step t250 (cl (= (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) :rule resolution :premises (t246 t249))
% 25.92/26.17  (step t251 (cl (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (forall ((A $$unsorted)) (= A (tptp.addition A A)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t252)
% 25.92/26.17  (assume t252.a0 (forall ((A $$unsorted)) (= A (tptp.addition A A))))
% 25.92/26.17  (step t252.t1 (cl (or (not (forall ((A $$unsorted)) (= A (tptp.addition A A)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule forall_inst :args ((:= A (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))
% 25.92/26.17  (step t252.t2 (cl (not (forall ((A $$unsorted)) (= A (tptp.addition A A)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule or :premises (t252.t1))
% 25.92/26.17  (step t252.t3 (cl (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t252.t2 t252.a0))
% 25.92/26.17  (step t252 (cl (not (forall ((A $$unsorted)) (= A (tptp.addition A A)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule subproof :discharge (t252.a0))
% 25.92/26.17  (step t253 (cl (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t251 t252))
% 25.92/26.17  (step t254 (cl (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule implies_neg2)
% 25.92/26.17  (step t255 (cl (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule resolution :premises (t253 t254))
% 25.92/26.17  (step t256 (cl (=> (forall ((A $$unsorted)) (= A (tptp.addition A A))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a))))) :rule contraction :premises (t255))
% 25.92/26.17  (step t257 (cl (not (forall ((A $$unsorted)) (= A (tptp.addition A A)))) (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule implies :premises (t256))
% 25.92/26.17  (step t258 (cl (not (= (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (not (forall ((A $$unsorted)) (= (tptp.addition A A) A))) (forall ((A $$unsorted)) (= A (tptp.addition A A)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t259 :args ((A $$unsorted) (:= A A)))
% 25.92/26.17  (step t259.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t259.t2 (cl (= (= (tptp.addition A A) A) (= A (tptp.addition A A)))) :rule all_simplify)
% 25.92/26.17  (step t259 (cl (= (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted)) (= A (tptp.addition A A))))) :rule bind)
% 25.92/26.17  (step t260 (cl (forall ((A $$unsorted)) (= A (tptp.addition A A)))) :rule resolution :premises (t258 t259 a6))
% 25.92/26.17  (step t261 (cl (= (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.addition (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a) (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t257 t260))
% 25.92/26.17  (step t262 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) :rule implies_neg1)
% 25.92/26.17  (anchor :step t263)
% 25.92/26.17  (assume t263.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))
% 25.92/26.17  (step t263.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule forall_inst :args ((:= A (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (:= B (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (:= C (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))
% 25.92/26.17  (step t263.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule or :premises (t263.t1))
% 25.92/26.17  (step t263.t3 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t263.t2 t263.a0))
% 25.92/26.17  (step t263 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule subproof :discharge (t263.a0))
% 25.92/26.17  (step t264 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t262 t263))
% 25.92/26.17  (step t265 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (not (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule implies_neg2)
% 25.92/26.17  (step t266 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule resolution :premises (t264 t265))
% 25.92/26.17  (step t267 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))))) :rule contraction :premises (t266))
% 25.92/26.17  (step t268 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C)))) (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule implies :premises (t267))
% 25.92/26.17  (step t269 (cl (= (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.addition (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a))))) (tptp.addition (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication tptp.one (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))) (tptp.multiplication (tptp.addition (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.addition tptp.a tptp.b)) (tptp.star (tptp.addition tptp.a tptp.b))) (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)))))) :rule resolution :premises (t268 a4))
% 25.92/26.17  (step t270 (cl (not (= (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.ifeq3 (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.addition (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) (tptp.leq (tptp.multiplication tptp.a (tptp.multiplication tptp.b tptp.a)) (tptp.multiplication (tptp.star (tptp.addition tptp.a tptp.b)) (tptp.multiplication tptp.a (tptp.multiplication (tptp.addition tptp.a tptp.b) tptp.a)))) tptp.true)))) :rule resolution :premises (t90 t105 t113 t121 t129 t140 t151 t159 t167 t178 t189 t202 t210 t223 t231 t239 t250 t261 t269))
% 25.92/26.17  (step t271 (cl (not (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) :rule equiv_pos2)
% 25.92/26.17  (anchor :step t272 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B) (C $$unsorted) (:= C C)))
% 25.92/26.17  (step t272.t1 (cl (= A A)) :rule refl)
% 25.92/26.17  (step t272.t2 (cl (= B B)) :rule refl)
% 25.92/26.17  (step t272.t3 (cl (= C C)) :rule refl)
% 25.92/26.17  (step t272.t4 (cl (= (= (tptp.ifeq3 A A B C) B) (= B (tptp.ifeq3 A A B C)))) :rule all_simplify)
% 25.92/26.17  (step t272 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) :rule bind)
% 25.92/26.17  (step t273 (cl (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C)))) :rule resolution :premises (t271 t272 a0))
% 25.92/26.17  (step t274 (cl) :rule resolution :premises (t7 t270 t273))
% 25.92/26.17  
% 25.92/26.17  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.wXsoFKmB5o/cvc5---1.0.5_22714.smt2
% 26.00/26.18  % cvc5---1.0.5 exiting
% 26.00/26.18  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------