%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP700-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n032.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 17:06:52 EDT 2024

% Result   : Unsatisfiable 16.31s 16.52s
% Output   : Proof 16.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem    : GRP700-10 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.10  % Command    : do_cvc5 %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Sun May 26 19:34:23 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.15/0.40  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.24/10.46  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.25/15.48  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 16.31/16.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.LHCLUL2cpx/cvc5---1.0.5_16290.smt2
% 16.31/16.52  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.LHCLUL2cpx/cvc5---1.0.5_16290.smt2
% 16.31/16.53  (assume a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)))
% 16.31/16.53  (assume a1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))
% 16.31/16.53  (assume a2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)))
% 16.31/16.53  (assume a3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))
% 16.31/16.53  (assume a4 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))
% 16.31/16.53  (assume a5 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)))
% 16.31/16.53  (assume a6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult (tptp.mult A B) A) (tptp.mult A C)) (tptp.mult A (tptp.mult (tptp.mult (tptp.mult B A) A) C)))))
% 16.31/16.53  (assume a7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))))
% 16.31/16.53  (assume a8 (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))))
% 16.31/16.53  (step t1 (cl (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule and_neg)
% 16.31/16.53  (step t2 (cl (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t3)
% 16.31/16.53  (assume t3.a0 (= tptp.unit (tptp.mult tptp.unit tptp.unit)))
% 16.31/16.53  (assume t3.a1 (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))
% 16.31/16.53  (assume t3.a2 (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))
% 16.31/16.53  (assume t3.a3 (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))
% 16.31/16.53  (assume t3.a4 (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))
% 16.31/16.53  (assume t3.a5 (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))
% 16.31/16.53  (assume t3.a6 (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))
% 16.31/16.53  (assume t3.a7 (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))
% 16.31/16.53  (assume t3.a8 (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))
% 16.31/16.53  (step t3.t1 (cl (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t3.t2)
% 16.31/16.53  (assume t3.t2.a0 (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))
% 16.31/16.53  (assume t3.t2.a1 (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))
% 16.31/16.53  (assume t3.t2.a2 (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))
% 16.31/16.53  (assume t3.t2.a3 (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))
% 16.31/16.53  (assume t3.t2.a4 (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))
% 16.31/16.53  (assume t3.t2.a5 (= tptp.unit (tptp.mult tptp.unit tptp.unit)))
% 16.31/16.53  (assume t3.t2.a6 (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))
% 16.31/16.53  (assume t3.t2.a7 (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))
% 16.31/16.53  (assume t3.t2.a8 (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))
% 16.31/16.53  (step t3.t2.t1 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)) tptp.unit)) :rule symm :premises (t3.t2.a8))
% 16.31/16.53  (step t3.t2.t2 (cl (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule symm :premises (t3.t2.t1))
% 16.31/16.53  (step t3.t2.t3 (cl (= tptp.x0 tptp.x0)) :rule refl)
% 16.31/16.53  (step t3.t2.t4 (cl (= (tptp.mult tptp.x0 tptp.unit) tptp.x0)) :rule symm :premises (t3.t2.a6))
% 16.31/16.53  (step t3.t2.t5 (cl (= (tptp.mult tptp.x0 tptp.unit) (tptp.mult tptp.unit tptp.x0))) :rule trans :premises (t3.t2.t4 t3.t2.a2))
% 16.31/16.53  (step t3.t2.t6 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.x0)))) :rule cong :premises (t3.t2.t3 t3.t2.t5))
% 16.31/16.53  (step t3.t2.t7 (cl (= (tptp.mult tptp.unit tptp.x0) tptp.x0)) :rule symm :premises (t3.t2.a2))
% 16.31/16.53  (step t3.t2.t8 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)) tptp.x0)) :rule symm :premises (t3.t2.a7))
% 16.31/16.53  (step t3.t2.t9 (cl (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule symm :premises (t3.t2.t8))
% 16.31/16.53  (step t3.t2.t10 (cl (= (tptp.mult tptp.x0 tptp.x0) (tptp.mult (tptp.mult tptp.unit tptp.x0) tptp.x0))) :rule cong :premises (t3.t2.a2 t3.t2.t3))
% 16.31/16.53  (step t3.t2.t11 (cl (= tptp.unit tptp.unit)) :rule refl)
% 16.31/16.53  (step t3.t2.t12 (cl (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule symm :premises (t3.t2.t4))
% 16.31/16.53  (step t3.t2.t13 (cl (= (tptp.mult tptp.unit tptp.unit) tptp.unit)) :rule symm :premises (t3.t2.a5))
% 16.31/16.53  (step t3.t2.t14 (cl (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule symm :premises (t3.t2.t13))
% 16.31/16.53  (step t3.t2.t15 (cl (= (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))) (tptp.mult tptp.unit tptp.unit))) :rule symm :premises (t3.t2.a4))
% 16.31/16.53  (step t3.t2.t16 (cl (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule symm :premises (t3.t2.t15))
% 16.31/16.53  (step t3.t2.t17 (cl (= tptp.unit (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule trans :premises (t3.t2.t14 t3.t2.t16))
% 16.31/16.53  (step t3.t2.t18 (cl (= (tptp.mult tptp.x0 tptp.unit) (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule cong :premises (t3.t2.t3 t3.t2.t17))
% 16.31/16.53  (step t3.t2.t19 (cl (= tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule trans :premises (t3.t2.t12 t3.t2.t18))
% 16.31/16.53  (step t3.t2.t20 (cl (= (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule cong :premises (t3.t2.t11 t3.t2.t19))
% 16.31/16.53  (step t3.t2.t21 (cl (= (tptp.mult (tptp.mult tptp.unit tptp.x0) tptp.x0) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule cong :premises (t3.t2.t20 t3.t2.t3))
% 16.31/16.53  (step t3.t2.t22 (cl (= (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0) (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule symm :premises (t3.t2.a3))
% 16.31/16.53  (step t3.t2.t23 (cl (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) :rule refl)
% 16.31/16.53  (step t3.t2.t24 (cl (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule cong :premises (t3.t2.t7 t3.t2.t23))
% 16.31/16.53  (step t3.t2.t25 (cl (= (tptp.mult tptp.x0 tptp.x0) (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule trans :premises (t3.t2.t10 t3.t2.t21 t3.t2.t22 t3.t2.t24))
% 16.31/16.53  (step t3.t2.t26 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule cong :premises (t3.t2.t3 t3.t2.t25))
% 16.31/16.53  (step t3.t2.t27 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) :rule symm :premises (t3.t2.a1))
% 16.31/16.53  (step t3.t2.t28 (cl (= (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) :rule trans :premises (t3.t2.t7 t3.t2.t9 t3.t2.t26 t3.t2.t27))
% 16.31/16.53  (step t3.t2.t29 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule cong :premises (t3.t2.t3 t3.t2.t28))
% 16.31/16.53  (step t3.t2.t30 (cl (= (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) :rule symm :premises (t3.t2.a0))
% 16.31/16.53  (step t3.t2.t31 (cl (= tptp.unit (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) :rule trans :premises (t3.t2.t2 t3.t2.t6 t3.t2.t29 t3.t2.t30))
% 16.31/16.53  (step t3.t2.t32 (cl (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule cong :premises (t3.t2.t31 t3.t2.t17))
% 16.31/16.53  (step t3.t2 (cl (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5 t3.t2.a6 t3.t2.a7 t3.t2.a8))
% 16.31/16.53  (step t3.t3 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule and_pos)
% 16.31/16.53  (step t3.t4 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule and_pos)
% 16.31/16.53  (step t3.t5 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule and_pos)
% 16.31/16.53  (step t3.t6 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule and_pos)
% 16.31/16.53  (step t3.t7 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule and_pos)
% 16.31/16.53  (step t3.t8 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule and_pos)
% 16.31/16.53  (step t3.t9 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule and_pos)
% 16.31/16.53  (step t3.t10 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule and_pos)
% 16.31/16.53  (step t3.t11 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule and_pos)
% 16.31/16.53  (step t3.t12 (cl (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11))
% 16.31/16.53  (step t3.t13 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule reordering :premises (t3.t12))
% 16.31/16.53  (step t3.t14 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule contraction :premises (t3.t13))
% 16.31/16.53  (step t3.t15 (cl (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule resolution :premises (t3.t1 t3.t14))
% 16.31/16.53  (step t3.t16 (cl (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule implies_neg2)
% 16.31/16.53  (step t3.t17 (cl (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule resolution :premises (t3.t15 t3.t16))
% 16.31/16.53  (step t3.t18 (cl (=> (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule contraction :premises (t3.t17))
% 16.31/16.53  (step t3.t19 (cl (not (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule implies :premises (t3.t18))
% 16.31/16.53  (step t3.t20 (cl (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule and_neg)
% 16.31/16.53  (step t3.t21 (cl (and (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule resolution :premises (t3.t20 t3.a8 t3.a7 t3.a2 t3.a6 t3.a3 t3.a0 t3.a1 t3.a5 t3.a4))
% 16.31/16.53  (step t3.t22 (cl (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule resolution :premises (t3.t19 t3.t21))
% 16.31/16.53  (step t3 (cl (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8))
% 16.31/16.53  (step t4 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule and_pos)
% 16.31/16.53  (step t5 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule and_pos)
% 16.31/16.53  (step t6 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule and_pos)
% 16.31/16.53  (step t7 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule and_pos)
% 16.31/16.53  (step t8 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule and_pos)
% 16.31/16.53  (step t9 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule and_pos)
% 16.31/16.53  (step t10 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule and_pos)
% 16.31/16.53  (step t11 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule and_pos)
% 16.31/16.53  (step t12 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule and_pos)
% 16.31/16.53  (step t13 (cl (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12))
% 16.31/16.53  (step t14 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule reordering :premises (t13))
% 16.31/16.53  (step t15 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule contraction :premises (t14))
% 16.31/16.53  (step t16 (cl (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule resolution :premises (t2 t15))
% 16.31/16.53  (step t17 (cl (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule implies_neg2)
% 16.31/16.53  (step t18 (cl (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule resolution :premises (t16 t17))
% 16.31/16.53  (step t19 (cl (=> (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule contraction :premises (t18))
% 16.31/16.53  (step t20 (cl (not (and (= tptp.unit (tptp.mult tptp.unit tptp.unit)) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule implies :premises (t19))
% 16.31/16.53  (step t21 (cl (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule resolution :premises (t1 t20))
% 16.31/16.53  (step t22 (cl (not (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule reordering :premises (t21))
% 16.31/16.53  (step t23 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t24)
% 16.31/16.53  (assume t24.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))
% 16.31/16.53  (step t24.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule forall_inst :args ((:= A tptp.x0) (:= B (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))
% 16.31/16.53  (step t24.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule or :premises (t24.t1))
% 16.31/16.53  (step t24.t3 (cl (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule resolution :premises (t24.t2 t24.a0))
% 16.31/16.53  (step t24 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule subproof :discharge (t24.a0))
% 16.31/16.53  (step t25 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule resolution :premises (t23 t24))
% 16.31/16.53  (step t26 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (not (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule implies_neg2)
% 16.31/16.53  (step t27 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule resolution :premises (t25 t26))
% 16.31/16.53  (step t28 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule contraction :premises (t27))
% 16.31/16.53  (step t29 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule implies :premises (t28))
% 16.31/16.53  (step t30 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule equiv_pos2)
% 16.31/16.53  (anchor :step t31 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B)))
% 16.31/16.53  (step t31.t1 (cl (= A A)) :rule refl)
% 16.31/16.53  (step t31.t2 (cl (= B B)) :rule refl)
% 16.31/16.53  (step t31.t3 (cl (= (= (tptp.ld A (tptp.mult A B)) B) (= B (tptp.ld A (tptp.mult A B))))) :rule all_simplify)
% 16.31/16.53  (step t31 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) :rule bind)
% 16.31/16.53  (step t32 (cl (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule resolution :premises (t30 t31 a1))
% 16.31/16.53  (step t33 (cl (= (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))) :rule resolution :premises (t29 t32))
% 16.31/16.53  (step t34 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t35)
% 16.31/16.53  (assume t35.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))
% 16.31/16.53  (step t35.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))) :rule forall_inst :args ((:= A tptp.x0) (:= B (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))
% 16.31/16.53  (step t35.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule or :premises (t35.t1))
% 16.31/16.53  (step t35.t3 (cl (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule resolution :premises (t35.t2 t35.a0))
% 16.31/16.53  (step t35 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule subproof :discharge (t35.a0))
% 16.31/16.53  (step t36 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule resolution :premises (t34 t35))
% 16.31/16.53  (step t37 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (not (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))) :rule implies_neg2)
% 16.31/16.53  (step t38 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))) :rule resolution :premises (t36 t37))
% 16.31/16.53  (step t39 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))))))) :rule contraction :premises (t38))
% 16.31/16.53  (step t40 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule implies :premises (t39))
% 16.31/16.53  (step t41 (cl (= (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)) (tptp.ld tptp.x0 (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0)))))) :rule resolution :premises (t40 t32))
% 16.31/16.53  (step t42 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B)))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t43)
% 16.31/16.53  (assume t43.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))))
% 16.31/16.53  (step t43.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B)))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))) :rule forall_inst :args ((:= A tptp.unit) (:= B tptp.x0) (:= C (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))
% 16.31/16.53  (step t43.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B)))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule or :premises (t43.t1))
% 16.31/16.53  (step t43.t3 (cl (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule resolution :premises (t43.t2 t43.a0))
% 16.31/16.53  (step t43 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B)))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule subproof :discharge (t43.a0))
% 16.31/16.53  (step t44 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule resolution :premises (t42 t43))
% 16.31/16.53  (step t45 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (not (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))) :rule implies_neg2)
% 16.31/16.53  (step t46 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))) :rule resolution :premises (t44 t45))
% 16.31/16.53  (step t47 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0)))) :rule contraction :premises (t46))
% 16.31/16.53  (step t48 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B)))) (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule implies :premises (t47))
% 16.31/16.53  (step t49 (cl (= (tptp.mult (tptp.mult tptp.unit tptp.x0) (tptp.mult tptp.x0 (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0))) (tptp.mult (tptp.mult tptp.unit (tptp.mult tptp.x0 (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) tptp.x0))) :rule resolution :premises (t48 a7))
% 16.31/16.53  (step t50 (cl (not (= (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))))) (not (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))))) (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))))) :rule equiv_pos2)
% 16.31/16.53  (step t51 (cl (= (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))))) :rule refl)
% 16.31/16.53  (step t52 (cl (= (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)) (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule all_simplify)
% 16.31/16.53  (step t53 (cl (= (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))))) :rule cong :premises (t52))
% 16.31/16.53  (step t54 (cl (= (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))))) :rule cong :premises (t51 t53))
% 16.31/16.53  (step t55 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t56)
% 16.31/16.53  (assume t56.a0 (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))))
% 16.31/16.53  (step t56.t1 (cl (or (not (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit))))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))))) :rule forall_inst :args ((:= X1 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))
% 16.31/16.53  (step t56.t2 (cl (not (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit))))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) :rule or :premises (t56.t1))
% 16.31/16.53  (step t56.t3 (cl (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) :rule resolution :premises (t56.t2 t56.a0))
% 16.31/16.53  (step t56 (cl (not (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit))))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) :rule subproof :discharge (t56.a0))
% 16.31/16.53  (step t57 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) :rule resolution :premises (t55 t56))
% 16.31/16.53  (step t58 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (not (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))))) :rule implies_neg2)
% 16.31/16.53  (step t59 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit)))) (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))))) :rule resolution :premises (t57 t58))
% 16.31/16.53  (step t60 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))) (tptp.tuple tptp.unit tptp.unit))))) :rule contraction :premises (t59))
% 16.31/16.53  (step t61 (cl (=> (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit)))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))))) :rule resolution :premises (t50 t54 t60))
% 16.31/16.53  (step t62 (cl (not (forall ((X1 $$unsorted)) (not (= (tptp.tuple (tptp.mult X1 tptp.x0) (tptp.mult tptp.x0 X1)) (tptp.tuple tptp.unit tptp.unit))))) (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule implies :premises (t61))
% 16.31/16.53  (step t63 (cl (not (= (tptp.tuple tptp.unit tptp.unit) (tptp.tuple (tptp.mult (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)) tptp.x0) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))))) :rule resolution :premises (t62 a8))
% 16.31/16.53  (step t64 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t65)
% 16.31/16.53  (assume t65.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))
% 16.31/16.53  (step t65.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))) :rule forall_inst :args ((:= A tptp.x0) (:= B tptp.x0)))
% 16.31/16.53  (step t65.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule or :premises (t65.t1))
% 16.31/16.53  (step t65.t3 (cl (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule resolution :premises (t65.t2 t65.a0))
% 16.31/16.53  (step t65 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule subproof :discharge (t65.a0))
% 16.31/16.53  (step t66 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule resolution :premises (t64 t65))
% 16.31/16.53  (step t67 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (not (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))) :rule implies_neg2)
% 16.31/16.53  (step t68 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))) :rule resolution :premises (t66 t67))
% 16.31/16.53  (step t69 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0))))) :rule contraction :premises (t68))
% 16.31/16.53  (step t70 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule implies :premises (t69))
% 16.31/16.53  (step t71 (cl (= tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) :rule resolution :premises (t70 t32))
% 16.31/16.53  (step t72 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t73)
% 16.31/16.53  (assume t73.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))
% 16.31/16.53  (step t73.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule forall_inst :args ((:= A tptp.x0) (:= B tptp.unit)))
% 16.31/16.53  (step t73.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule or :premises (t73.t1))
% 16.31/16.53  (step t73.t3 (cl (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule resolution :premises (t73.t2 t73.a0))
% 16.31/16.53  (step t73 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule subproof :discharge (t73.a0))
% 16.31/16.53  (step t74 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule resolution :premises (t72 t73))
% 16.31/16.53  (step t75 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (not (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule implies_neg2)
% 16.31/16.53  (step t76 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule resolution :premises (t74 t75))
% 16.31/16.53  (step t77 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit))))) :rule contraction :premises (t76))
% 16.31/16.53  (step t78 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B))))) (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule implies :premises (t77))
% 16.31/16.53  (step t79 (cl (= tptp.unit (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule resolution :premises (t78 t32))
% 16.31/16.53  (step t80 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t81)
% 16.31/16.53  (assume t81.a0 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))
% 16.31/16.53  (step t81.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule forall_inst :args ((:= A tptp.x0) (:= B (tptp.mult tptp.unit tptp.unit))))
% 16.31/16.53  (step t81.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule or :premises (t81.t1))
% 16.31/16.53  (step t81.t3 (cl (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule resolution :premises (t81.t2 t81.a0))
% 16.31/16.53  (step t81 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule subproof :discharge (t81.a0))
% 16.31/16.53  (step t82 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule resolution :premises (t80 t81))
% 16.31/16.53  (step t83 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (not (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule implies_neg2)
% 16.31/16.53  (step t84 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule resolution :premises (t82 t83))
% 16.31/16.53  (step t85 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit)))))) :rule contraction :premises (t84))
% 16.31/16.53  (step t86 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule implies :premises (t85))
% 16.31/16.53  (step t87 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))) (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) :rule equiv_pos2)
% 16.31/16.53  (anchor :step t88 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B)))
% 16.31/16.53  (step t88.t1 (cl (= A A)) :rule refl)
% 16.31/16.53  (step t88.t2 (cl (= B B)) :rule refl)
% 16.31/16.53  (step t88.t3 (cl (= (= (tptp.mult A (tptp.ld A B)) B) (= B (tptp.mult A (tptp.ld A B))))) :rule all_simplify)
% 16.31/16.53  (step t88 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))) :rule bind)
% 16.31/16.53  (step t89 (cl (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B))))) :rule resolution :premises (t87 t88 a0))
% 16.31/16.53  (step t90 (cl (= (tptp.mult tptp.unit tptp.unit) (tptp.mult tptp.x0 (tptp.ld tptp.x0 (tptp.mult tptp.unit tptp.unit))))) :rule resolution :premises (t86 t89))
% 16.31/16.53  (step t91 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t92)
% 16.31/16.53  (assume t92.a0 (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))))
% 16.31/16.53  (step t92.t1 (cl (or (not (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))) :rule forall_inst :args ((:= A tptp.x0)))
% 16.31/16.53  (step t92.t2 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule or :premises (t92.t1))
% 16.31/16.53  (step t92.t3 (cl (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule resolution :premises (t92.t2 t92.a0))
% 16.31/16.53  (step t92 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule subproof :discharge (t92.a0))
% 16.31/16.53  (step t93 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule resolution :premises (t91 t92))
% 16.31/16.53  (step t94 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (not (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))) :rule implies_neg2)
% 16.31/16.53  (step t95 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))) :rule resolution :premises (t93 t94))
% 16.31/16.53  (step t96 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0)))) :rule contraction :premises (t95))
% 16.31/16.53  (step t97 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule implies :premises (t96))
% 16.31/16.53  (step t98 (cl (not (= (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))))) (not (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A))) (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) :rule equiv_pos2)
% 16.31/16.53  (anchor :step t99 :args ((A $$unsorted) (:= A A)))
% 16.31/16.53  (step t99.t1 (cl (= A A)) :rule refl)
% 16.31/16.53  (step t99.t2 (cl (= (= (tptp.mult tptp.unit A) A) (= A (tptp.mult tptp.unit A)))) :rule all_simplify)
% 16.31/16.53  (step t99 (cl (= (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))))) :rule bind)
% 16.31/16.53  (step t100 (cl (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A)))) :rule resolution :premises (t98 t99 a5))
% 16.31/16.53  (step t101 (cl (= tptp.x0 (tptp.mult tptp.unit tptp.x0))) :rule resolution :premises (t97 t100))
% 16.31/16.53  (step t102 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t103)
% 16.31/16.53  (assume t103.a0 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))
% 16.31/16.53  (step t103.t1 (cl (or (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule forall_inst :args ((:= A tptp.x0)))
% 16.31/16.53  (step t103.t2 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule or :premises (t103.t1))
% 16.31/16.53  (step t103.t3 (cl (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule resolution :premises (t103.t2 t103.a0))
% 16.31/16.53  (step t103 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule subproof :discharge (t103.a0))
% 16.31/16.53  (step t104 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule resolution :premises (t102 t103))
% 16.31/16.53  (step t105 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (not (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule implies_neg2)
% 16.31/16.53  (step t106 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule resolution :premises (t104 t105))
% 16.31/16.53  (step t107 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit)))) :rule contraction :premises (t106))
% 16.31/16.53  (step t108 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule implies :premises (t107))
% 16.31/16.53  (step t109 (cl (not (= (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)) (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (not (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A))) (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) :rule equiv_pos2)
% 16.31/16.53  (anchor :step t110 :args ((A $$unsorted) (:= A A)))
% 16.31/16.53  (step t110.t1 (cl (= A A)) :rule refl)
% 16.31/16.53  (step t110.t2 (cl (= (= (tptp.mult A tptp.unit) A) (= A (tptp.mult A tptp.unit)))) :rule all_simplify)
% 16.31/16.53  (step t110 (cl (= (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)) (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) :rule bind)
% 16.31/16.53  (step t111 (cl (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) :rule resolution :premises (t109 t110 a4))
% 16.31/16.53  (step t112 (cl (= tptp.x0 (tptp.mult tptp.x0 tptp.unit))) :rule resolution :premises (t108 t111))
% 16.31/16.53  (step t113 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) :rule implies_neg1)
% 16.31/16.53  (anchor :step t114)
% 16.31/16.53  (assume t114.a0 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))
% 16.31/16.53  (step t114.t1 (cl (or (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)))) :rule forall_inst :args ((:= A tptp.unit)))
% 16.31/16.53  (step t114.t2 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule or :premises (t114.t1))
% 16.31/16.53  (step t114.t3 (cl (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule resolution :premises (t114.t2 t114.a0))
% 16.31/16.53  (step t114 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule subproof :discharge (t114.a0))
% 16.31/16.53  (step t115 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule resolution :premises (t113 t114))
% 16.31/16.53  (step t116 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (not (= tptp.unit (tptp.mult tptp.unit tptp.unit)))) :rule implies_neg2)
% 16.31/16.53  (step t117 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)))) :rule resolution :premises (t115 t116))
% 16.31/16.53  (step t118 (cl (=> (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) (= tptp.unit (tptp.mult tptp.unit tptp.unit)))) :rule contraction :premises (t117))
% 16.31/16.53  (step t119 (cl (not (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit)))) (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule implies :premises (t118))
% 16.31/16.53  (step t120 (cl (= tptp.unit (tptp.mult tptp.unit tptp.unit))) :rule resolution :premises (t119 t111))
% 16.31/16.53  (step t121 (cl) :rule resolution :premises (t22 t33 t41 t49 t63 t71 t79 t90 t101 t112 t120))
% 16.31/16.53  
% 16.31/16.53  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.LHCLUL2cpx/cvc5---1.0.5_16290.smt2
% 16.31/16.53  % cvc5---1.0.5 exiting
% 16.31/16.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------