%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG007-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n027.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 17:41:00 EDT 2024

% Result   : Unsatisfiable 0.37s 0.55s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG007-4 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n027.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 25 21:03:54 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.Ah8CSUbHrv/cvc5---1.0.5_29054.smt2
% 0.37/0.55  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Ah8CSUbHrv/cvc5---1.0.5_29054.smt2
% 0.39/0.58  (assume a0 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))
% 0.39/0.58  (assume a1 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))
% 0.39/0.58  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))
% 0.39/0.58  (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))
% 0.39/0.58  (assume a4 (= (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))
% 0.39/0.58  (assume a5 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)))
% 0.39/0.58  (assume a6 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))
% 0.39/0.58  (assume a7 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))
% 0.39/0.58  (assume a8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.additive_inverse (tptp.add X Y)) (tptp.add (tptp.additive_inverse X) (tptp.additive_inverse Y)))))
% 0.39/0.58  (assume a9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.58  (assume a10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.58  (assume a11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))))
% 0.39/0.58  (assume a12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))
% 0.39/0.58  (assume a13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.39/0.58  (assume a14 (forall ((X $$unsorted)) (= (tptp.multiply X X) X)))
% 0.39/0.58  (assume a15 (not (= (tptp.add tptp.a tptp.a) tptp.additive_identity)))
% 0.39/0.58  (step t1 (cl (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule and_neg)
% 0.39/0.58  (step t2 (cl (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule implies_neg1)
% 0.39/0.58  (anchor :step t3)
% 0.39/0.58  (assume t3.a0 (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)))
% 0.39/0.58  (assume t3.a1 (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))
% 0.39/0.58  (assume t3.a2 (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))
% 0.39/0.58  (assume t3.a3 (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))
% 0.39/0.58  (assume t3.a4 (= tptp.a (tptp.add tptp.additive_identity tptp.a)))
% 0.39/0.58  (assume t3.a5 (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))
% 0.39/0.58  (assume t3.a6 (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.a7 (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))
% 0.39/0.58  (assume t3.a8 (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.a9 (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.a10 (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.a11 (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.a12 (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))
% 0.39/0.58  (assume t3.a13 (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.a14 (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))
% 0.39/0.58  (assume t3.a15 (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.a16 (= tptp.a (tptp.multiply tptp.a tptp.a)))
% 0.39/0.58  (assume t3.a17 (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (step t3.t1 (cl (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule implies_neg1)
% 0.39/0.58  (anchor :step t3.t2)
% 0.39/0.58  (assume t3.t2.a0 (= tptp.a (tptp.multiply tptp.a tptp.a)))
% 0.39/0.58  (assume t3.t2.a1 (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.t2.a2 (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))
% 0.39/0.58  (assume t3.t2.a3 (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.t2.a4 (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))
% 0.39/0.58  (assume t3.t2.a5 (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.t2.a6 (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.t2.a7 (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.t2.a8 (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))
% 0.39/0.58  (assume t3.t2.a9 (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.t2.a10 (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))
% 0.39/0.58  (assume t3.t2.a11 (= tptp.a (tptp.add tptp.additive_identity tptp.a)))
% 0.39/0.58  (assume t3.t2.a12 (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))
% 0.39/0.58  (assume t3.t2.a13 (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))
% 0.39/0.58  (assume t3.t2.a14 (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)))
% 0.39/0.58  (assume t3.t2.a15 (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))
% 0.39/0.58  (assume t3.t2.a16 (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))
% 0.39/0.58  (assume t3.t2.a17 (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))
% 0.39/0.58  (step t3.t2.t1 (cl (= (tptp.multiply tptp.additive_identity tptp.additive_identity) tptp.additive_identity)) :rule symm :premises (t3.t2.a13))
% 0.39/0.58  (step t3.t2.t2 (cl (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule symm :premises (t3.t2.t1))
% 0.39/0.58  (step t3.t2.t3 (cl (= tptp.additive_identity tptp.additive_identity)) :rule refl)
% 0.39/0.58  (step t3.t2.t4 (cl (= (tptp.add tptp.additive_identity tptp.additive_identity) (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule cong :premises (t3.t2.a14 t3.t2.t3))
% 0.39/0.58  (step t3.t2.t5 (cl (= (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity) (tptp.add tptp.additive_identity tptp.additive_identity))) :rule symm :premises (t3.t2.t4))
% 0.39/0.58  (step t3.t2.t6 (cl (= tptp.additive_identity (tptp.add tptp.additive_identity tptp.additive_identity))) :rule trans :premises (t3.t2.a17 t3.t2.t5))
% 0.39/0.58  (step t3.t2.t7 (cl (= (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.additive_identity)))) :rule cong :premises (t3.t2.t3 t3.t2.t6))
% 0.39/0.58  (step t3.t2.t8 (cl (= (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity) tptp.additive_identity)) :rule symm :premises (t3.t2.a17))
% 0.39/0.58  (step t3.t2.t9 (cl (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) tptp.additive_identity)) :rule symm :premises (t3.t2.a10))
% 0.39/0.58  (step t3.t2.t10 (cl (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule symm :premises (t3.t2.t9))
% 0.39/0.58  (step t3.t2.t11 (cl (= (tptp.add tptp.additive_identity tptp.additive_identity) (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule trans :premises (t3.t2.t4 t3.t2.t8 t3.t2.t10))
% 0.39/0.58  (step t3.t2.t12 (cl (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.additive_identity)) (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule cong :premises (t3.t2.t3 t3.t2.t11))
% 0.39/0.58  (step t3.t2.t13 (cl (= (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)) (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule symm :premises (t3.t2.a16))
% 0.39/0.58  (step t3.t2.t14 (cl (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule symm :premises (t3.t2.t13))
% 0.39/0.58  (step t3.t2.t15 (cl (= (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) tptp.additive_identity)) :rule symm :premises (t3.t2.a15))
% 0.39/0.58  (step t3.t2.t16 (cl (= (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.additive_identity))) :rule trans :premises (t3.t2.t15 t3.t2.a14))
% 0.39/0.58  (step t3.t2.t17 (cl (= (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) :rule symm :premises (t3.t2.a14))
% 0.39/0.58  (step t3.t2.t18 (cl (= (tptp.additive_inverse tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule trans :premises (t3.t2.t17 t3.t2.t2))
% 0.39/0.58  (step t3.t2.t19 (cl (= (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule trans :premises (t3.t2.t16 t3.t2.t18))
% 0.39/0.58  (step t3.t2.t20 (cl (= (tptp.multiply tptp.additive_identity tptp.a) (tptp.multiply tptp.additive_identity tptp.a))) :rule refl)
% 0.39/0.58  (step t3.t2.t21 (cl (= (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule cong :premises (t3.t2.t19 t3.t2.t20))
% 0.39/0.58  (step t3.t2.t22 (cl (= (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)) (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)))) :rule symm :premises (t3.t2.a12))
% 0.39/0.58  (step t3.t2.t23 (cl (= (tptp.add tptp.additive_identity tptp.a) tptp.a)) :rule symm :premises (t3.t2.a11))
% 0.39/0.58  (step t3.t2.t24 (cl (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) :rule cong :premises (t3.t2.t3 t3.t2.t23))
% 0.39/0.58  (step t3.t2.t25 (cl (= (tptp.add tptp.a (tptp.additive_inverse tptp.a)) (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule symm :premises (t3.t2.a9))
% 0.39/0.58  (step t3.t2.t26 (cl (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule symm :premises (t3.t2.t25))
% 0.39/0.58  (step t3.t2.t27 (cl (= tptp.additive_identity (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule trans :premises (t3.t2.t10 t3.t2.t26))
% 0.39/0.58  (step t3.t2.t28 (cl (= tptp.a tptp.a)) :rule refl)
% 0.39/0.58  (step t3.t2.t29 (cl (= (tptp.multiply tptp.additive_identity tptp.a) (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a))) :rule cong :premises (t3.t2.t27 t3.t2.t28))
% 0.39/0.58  (step t3.t2.t30 (cl (= (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a))) :rule symm :premises (t3.t2.a8))
% 0.39/0.58  (step t3.t2.t31 (cl (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule symm :premises (t3.t2.t30))
% 0.39/0.58  (step t3.t2.t32 (cl (= tptp.additive_identity (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule trans :premises (t3.t2.t2 t3.t2.t7 t3.t2.t12 t3.t2.t14 t3.t2.t21 t3.t2.t22 t3.t2.t24 t3.t2.t29 t3.t2.t31))
% 0.39/0.58  (step t3.t2.t33 (cl (= (tptp.multiply tptp.additive_identity tptp.a) (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a))) :rule cong :premises (t3.t2.t32 t3.t2.t28))
% 0.39/0.58  (step t3.t2.t34 (cl (= (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)) (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a))) :rule symm :premises (t3.t2.a7))
% 0.39/0.58  (step t3.t2.t35 (cl (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule symm :premises (t3.t2.t34))
% 0.39/0.58  (step t3.t2.t36 (cl (= (tptp.multiply tptp.a tptp.a) tptp.a)) :rule symm :premises (t3.t2.a0))
% 0.39/0.58  (step t3.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply tptp.a tptp.a))) :rule cong :premises (t3.t2.t36 t3.t2.t28))
% 0.39/0.58  (step t3.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) tptp.a)) :rule trans :premises (t3.t2.t37 t3.t2.t36))
% 0.39/0.58  (step t3.t2.t39 (cl (= (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) :rule refl)
% 0.39/0.58  (step t3.t2.t40 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule cong :premises (t3.t2.t39 t3.t2.a1))
% 0.39/0.58  (step t3.t2.t41 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule symm :premises (t3.t2.a4))
% 0.39/0.58  (step t3.t2.t42 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule symm :premises (t3.t2.t41))
% 0.39/0.58  (step t3.t2.t43 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule symm :premises (t3.t2.a5))
% 0.39/0.58  (step t3.t2.t44 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule symm :premises (t3.t2.t43))
% 0.39/0.58  (step t3.t2.t45 (cl (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule symm :premises (t3.t2.a3))
% 0.39/0.58  (step t3.t2.t46 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) :rule symm :premises (t3.t2.t45))
% 0.39/0.58  (step t3.t2.t47 (cl (= (tptp.additive_inverse (tptp.additive_inverse tptp.a)) tptp.a)) :rule symm :premises (t3.t2.a1))
% 0.39/0.58  (step t3.t2.t48 (cl (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) :rule cong :premises (t3.t2.t47 t3.t2.t39))
% 0.39/0.58  (step t3.t2.t49 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) :rule trans :premises (t3.t2.t40 t3.t2.t42 t3.t2.t46 t3.t2.t48))
% 0.39/0.58  (step t3.t2.t50 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule cong :premises (t3.t2.t49))
% 0.39/0.58  (step t3.t2.t51 (cl (= (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))) (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule symm :premises (t3.t2.a2))
% 0.39/0.58  (step t3.t2.t52 (cl (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.multiply tptp.a tptp.a))) :rule cong :premises (t3.t2.t28 t3.t2.t47))
% 0.39/0.58  (step t3.t2.t53 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) tptp.a)) :rule trans :premises (t3.t2.t44 t3.t2.t50 t3.t2.t51 t3.t2.t52 t3.t2.t36))
% 0.39/0.58  (step t3.t2.t54 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.additive_inverse tptp.a))) :rule cong :premises (t3.t2.t53))
% 0.39/0.58  (step t3.t2.t55 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) (tptp.additive_inverse tptp.a))) :rule trans :premises (t3.t2.t40 t3.t2.t42 t3.t2.t54))
% 0.39/0.58  (step t3.t2.t56 (cl (= (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) :rule cong :premises (t3.t2.t55 t3.t2.t28))
% 0.39/0.58  (step t3.t2.t57 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) :rule symm :premises (t3.t2.a6))
% 0.39/0.58  (step t3.t2.t58 (cl (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule symm :premises (t3.t2.t57))
% 0.39/0.58  (step t3.t2.t59 (cl (= (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a) tptp.a)) :rule trans :premises (t3.t2.t56 t3.t2.t40 t3.t2.t42 t3.t2.t54 t3.t2.t58 t3.t2.t44 t3.t2.t50 t3.t2.t51 t3.t2.t52 t3.t2.t36))
% 0.39/0.58  (step t3.t2.t60 (cl (= (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)) (tptp.add tptp.a tptp.a))) :rule cong :premises (t3.t2.t38 t3.t2.t59))
% 0.39/0.58  (step t3.t2.t61 (cl (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule trans :premises (t3.t2.t2 t3.t2.t7 t3.t2.t12 t3.t2.t14 t3.t2.t21 t3.t2.t22 t3.t2.t24 t3.t2.t33 t3.t2.t35 t3.t2.t60))
% 0.39/0.58  (step t3.t2 (cl (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :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 t3.t2.a9 t3.t2.a10 t3.t2.a11 t3.t2.a12 t3.t2.a13 t3.t2.a14 t3.t2.a15 t3.t2.a16 t3.t2.a17))
% 0.39/0.58  (step t3.t3 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule and_pos)
% 0.39/0.58  (step t3.t4 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t5 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule and_pos)
% 0.39/0.58  (step t3.t6 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t7 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule and_pos)
% 0.39/0.58  (step t3.t8 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t9 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t10 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t11 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t12 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t13 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule and_pos)
% 0.39/0.58  (step t3.t14 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule and_pos)
% 0.39/0.58  (step t3.t15 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t16 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t3.t17 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t3.t18 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t19 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t3.t20 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t3.t21 (cl (= tptp.additive_identity (tptp.add tptp.a tptp.a)) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11 t3.t12 t3.t13 t3.t14 t3.t15 t3.t16 t3.t17 t3.t18 t3.t19 t3.t20))
% 0.39/0.58  (step t3.t22 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule reordering :premises (t3.t21))
% 0.39/0.58  (step t3.t23 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule contraction :premises (t3.t22))
% 0.39/0.58  (step t3.t24 (cl (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule resolution :premises (t3.t1 t3.t23))
% 0.39/0.58  (step t3.t25 (cl (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (not (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule implies_neg2)
% 0.39/0.58  (step t3.t26 (cl (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule resolution :premises (t3.t24 t3.t25))
% 0.39/0.58  (step t3.t27 (cl (=> (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule contraction :premises (t3.t26))
% 0.39/0.58  (step t3.t28 (cl (not (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule implies :premises (t3.t27))
% 0.39/0.58  (step t3.t29 (cl (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule and_neg)
% 0.39/0.58  (step t3.t30 (cl (and (= tptp.a (tptp.multiply tptp.a tptp.a)) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule resolution :premises (t3.t29 t3.a16 t3.a9 t3.a12 t3.a15 t3.a14 t3.a13 t3.a17 t3.a11 t3.a8 t3.a6 t3.a2 t3.a4 t3.a7 t3.a3 t3.a0 t3.a10 t3.a5 t3.a1))
% 0.39/0.58  (step t3.t31 (cl (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule resolution :premises (t3.t28 t3.t30))
% 0.39/0.58  (step t3 (cl (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8 t3.a9 t3.a10 t3.a11 t3.a12 t3.a13 t3.a14 t3.a15 t3.a16 t3.a17))
% 0.39/0.58  (step t4 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t5 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t6 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule and_pos)
% 0.39/0.58  (step t7 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule and_pos)
% 0.39/0.58  (step t8 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule and_pos)
% 0.39/0.58  (step t9 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t10 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t11 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t12 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t13 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t14 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t15 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t16 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule and_pos)
% 0.39/0.58  (step t17 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t18 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule and_pos)
% 0.39/0.58  (step t19 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.58  (step t20 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule and_pos)
% 0.39/0.58  (step t21 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule and_pos)
% 0.39/0.59  (step t22 (cl (= tptp.additive_identity (tptp.add tptp.a tptp.a)) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21))
% 0.39/0.59  (step t23 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule reordering :premises (t22))
% 0.39/0.59  (step t24 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule contraction :premises (t23))
% 0.39/0.59  (step t25 (cl (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule resolution :premises (t2 t24))
% 0.39/0.59  (step t26 (cl (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (not (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule implies_neg2)
% 0.39/0.59  (step t27 (cl (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule resolution :premises (t25 t26))
% 0.39/0.59  (step t28 (cl (=> (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule contraction :premises (t27))
% 0.39/0.59  (step t29 (cl (not (and (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)) (= tptp.a (tptp.add tptp.additive_identity tptp.a)) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a)) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule implies :premises (t28))
% 0.39/0.59  (step t30 (cl (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.add tptp.a tptp.a))) :rule resolution :premises (t1 t29))
% 0.39/0.59  (step t31 (cl (= tptp.additive_identity (tptp.add tptp.a tptp.a)) (not (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule reordering :premises (t30))
% 0.39/0.59  (step t32 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t33)
% 0.39/0.59  (assume t33.a0 (forall ((X $$unsorted)) (= X (tptp.multiply X X))))
% 0.39/0.59  (step t33.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a))))
% 0.39/0.59  (step t33.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule or :premises (t33.t1))
% 0.39/0.59  (step t33.t3 (cl (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t33.t2 t33.a0))
% 0.39/0.59  (step t33 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule subproof :discharge (t33.a0))
% 0.39/0.59  (step t34 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t32 t33))
% 0.39/0.59  (step t35 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (not (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t36 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t34 t35))
% 0.39/0.59  (step t37 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule contraction :premises (t36))
% 0.39/0.59  (step t38 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule implies :premises (t37))
% 0.39/0.59  (step t39 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply X X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply X X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply X X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t40 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t40.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t40.t2 (cl (= (= (tptp.multiply X X) X) (= X (tptp.multiply X X)))) :rule all_simplify)
% 0.39/0.59  (step t40 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply X X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply X X))))) :rule bind)
% 0.39/0.59  (step t41 (cl (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) :rule resolution :premises (t39 t40 a14))
% 0.39/0.59  (step t42 (cl (= (tptp.additive_inverse tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t38 t41))
% 0.39/0.59  (step t43 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a))) (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t44)
% 0.39/0.59  (assume t44.a0 (forall ((X $$unsorted)) (= X (tptp.multiply X X))))
% 0.39/0.59  (step t44.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.39/0.59  (step t44.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule or :premises (t44.t1))
% 0.39/0.59  (step t44.t3 (cl (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule resolution :premises (t44.t2 t44.a0))
% 0.39/0.59  (step t44 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule subproof :discharge (t44.a0))
% 0.39/0.59  (step t45 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule resolution :premises (t43 t44))
% 0.39/0.59  (step t46 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a)))) :rule implies_neg2)
% 0.39/0.59  (step t47 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a)))) :rule resolution :premises (t45 t46))
% 0.39/0.59  (step t48 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply X X))) (= tptp.a (tptp.multiply tptp.a tptp.a)))) :rule contraction :premises (t47))
% 0.39/0.59  (step t49 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule implies :premises (t48))
% 0.39/0.59  (step t50 (cl (= tptp.a (tptp.multiply tptp.a tptp.a))) :rule resolution :premises (t49 t41))
% 0.39/0.59  (step t51 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))))) :rule equiv_pos2)
% 0.39/0.59  (step t52 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))) :rule refl)
% 0.39/0.59  (step t53 (cl (= (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))))) :rule all_simplify)
% 0.39/0.59  (step t54 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))))) :rule cong :premises (t52 t53))
% 0.39/0.59  (step t55 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t56)
% 0.39/0.59  (assume t56.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.59  (step t56.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a)) (:= Y (tptp.additive_inverse tptp.a))))
% 0.39/0.59  (step t56.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule or :premises (t56.t1))
% 0.39/0.59  (step t56.t3 (cl (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t56.t2 t56.a0))
% 0.39/0.59  (step t56 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule subproof :discharge (t56.a0))
% 0.39/0.59  (step t57 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t55 t56))
% 0.39/0.59  (step t58 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule implies_neg2)
% 0.39/0.59  (step t59 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule resolution :premises (t57 t58))
% 0.39/0.59  (step t60 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule contraction :premises (t59))
% 0.39/0.59  (step t61 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t51 t54 t60))
% 0.39/0.59  (step t62 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) :rule implies :premises (t61))
% 0.39/0.59  (step t63 (cl (= (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))) (tptp.multiply (tptp.additive_inverse (tptp.additive_inverse tptp.a)) (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t62 a10))
% 0.39/0.59  (step t64 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t65)
% 0.39/0.59  (assume t65.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.59  (step t65.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a)) (:= Y (tptp.additive_inverse tptp.a))))
% 0.39/0.59  (step t65.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule or :premises (t65.t1))
% 0.39/0.59  (step t65.t3 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t65.t2 t65.a0))
% 0.39/0.59  (step t65 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule subproof :discharge (t65.a0))
% 0.39/0.59  (step t66 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t64 t65))
% 0.39/0.59  (step t67 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule implies_neg2)
% 0.39/0.59  (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule resolution :premises (t66 t67))
% 0.39/0.59  (step t69 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)))))) :rule contraction :premises (t68))
% 0.39/0.59  (step t70 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule implies :premises (t69))
% 0.39/0.59  (step t71 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t70 a9))
% 0.39/0.59  (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t73)
% 0.39/0.59  (assume t73.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.59  (step t73.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a)) (:= Y tptp.a)))
% 0.39/0.59  (step t73.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule or :premises (t73.t1))
% 0.39/0.59  (step t73.t3 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t73.t2 t73.a0))
% 0.39/0.59  (step t73 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule subproof :discharge (t73.a0))
% 0.39/0.59  (step t74 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t72 t73))
% 0.39/0.59  (step t75 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule resolution :premises (t74 t75))
% 0.39/0.59  (step t77 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule contraction :premises (t76))
% 0.39/0.59  (step t78 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule implies :premises (t77))
% 0.39/0.59  (step t79 (cl (= (tptp.multiply (tptp.additive_inverse tptp.a) (tptp.additive_inverse tptp.a)) (tptp.additive_inverse (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t78 a9))
% 0.39/0.59  (step t80 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t81)
% 0.39/0.59  (assume t81.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))
% 0.39/0.59  (step t81.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.additive_inverse tptp.a))))
% 0.39/0.59  (step t81.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule or :premises (t81.t1))
% 0.39/0.59  (step t81.t3 (cl (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t81.t2 t81.a0))
% 0.39/0.59  (step t81 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule subproof :discharge (t81.a0))
% 0.39/0.59  (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t80 t81))
% 0.39/0.59  (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (not (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))) :rule implies_neg2)
% 0.39/0.59  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))) :rule resolution :premises (t82 t83))
% 0.39/0.59  (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a)))))) :rule contraction :premises (t84))
% 0.39/0.59  (step t86 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y))))) (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule implies :premises (t85))
% 0.39/0.59  (step t87 (cl (= (tptp.multiply tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))) (tptp.additive_inverse (tptp.multiply tptp.a (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t86 a9))
% 0.39/0.59  (step t88 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t89)
% 0.39/0.59  (assume t89.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))
% 0.39/0.59  (step t89.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.a tptp.a)) (:= Y (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) (:= Z tptp.a)))
% 0.39/0.59  (step t89.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule or :premises (t89.t1))
% 0.39/0.59  (step t89.t3 (cl (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule resolution :premises (t89.t2 t89.a0))
% 0.39/0.59  (step t89 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule subproof :discharge (t89.a0))
% 0.39/0.59  (step t90 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule resolution :premises (t88 t89))
% 0.39/0.59  (step t91 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))) :rule resolution :premises (t90 t91))
% 0.39/0.59  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a))))) :rule contraction :premises (t92))
% 0.39/0.59  (step t94 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule implies :premises (t93))
% 0.39/0.59  (step t95 (cl (= (tptp.multiply (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)) tptp.a) (tptp.add (tptp.multiply (tptp.multiply tptp.a tptp.a) tptp.a) (tptp.multiply (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a) tptp.a)))) :rule resolution :premises (t94 a3))
% 0.39/0.59  (step t96 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t97)
% 0.39/0.59  (assume t97.a0 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))
% 0.39/0.59  (step t97.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a))))
% 0.39/0.59  (step t97.t2 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule or :premises (t97.t1))
% 0.39/0.59  (step t97.t3 (cl (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t97.t2 t97.a0))
% 0.39/0.59  (step t97 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule subproof :discharge (t97.a0))
% 0.39/0.59  (step t98 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t96 t97))
% 0.39/0.59  (step t99 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t100 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t98 t99))
% 0.39/0.59  (step t101 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a))))) :rule contraction :premises (t100))
% 0.39/0.59  (step t102 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule implies :premises (t101))
% 0.39/0.59  (step t103 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t104 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t104.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t104.t2 (cl (= (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) :rule all_simplify)
% 0.39/0.59  (step t104 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) :rule bind)
% 0.39/0.59  (step t105 (cl (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X)))) :rule resolution :premises (t103 t104 a7))
% 0.39/0.59  (step t106 (cl (= tptp.additive_identity (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t102 t105))
% 0.39/0.59  (step t107 (cl (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t108)
% 0.39/0.59  (assume t108.a0 (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))
% 0.39/0.59  (step t108.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 0.39/0.59  (step t108.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule or :premises (t108.t1))
% 0.39/0.59  (step t108.t3 (cl (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t108.t2 t108.a0))
% 0.39/0.59  (step t108 (cl (not (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule subproof :discharge (t108.a0))
% 0.39/0.59  (step t109 (cl (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t107 t108))
% 0.39/0.59  (step t110 (cl (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (not (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t111 (cl (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t109 t110))
% 0.39/0.59  (step t112 (cl (=> (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a))))) :rule contraction :premises (t111))
% 0.39/0.59  (step t113 (cl (not (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule implies :premises (t112))
% 0.39/0.59  (step t114 (cl (not (= (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))) (not (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X))) (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t115 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t115.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t115.t2 (cl (= (= (tptp.additive_inverse (tptp.additive_inverse X)) X) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) :rule all_simplify)
% 0.39/0.59  (step t115 (cl (= (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))) :rule bind)
% 0.39/0.59  (step t116 (cl (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X))))) :rule resolution :premises (t114 t115 a5))
% 0.39/0.59  (step t117 (cl (= tptp.a (tptp.additive_inverse (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t113 t116))
% 0.39/0.59  (step t118 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t119)
% 0.39/0.59  (assume t119.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))
% 0.39/0.59  (step t119.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.additive_inverse tptp.a)) (:= Z tptp.a)))
% 0.39/0.59  (step t119.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule or :premises (t119.t1))
% 0.39/0.59  (step t119.t3 (cl (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t119.t2 t119.a0))
% 0.39/0.59  (step t119 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule subproof :discharge (t119.a0))
% 0.39/0.59  (step t120 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t118 t119))
% 0.39/0.59  (step t121 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule resolution :premises (t120 t121))
% 0.39/0.59  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a))))) :rule contraction :premises (t122))
% 0.39/0.59  (step t124 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule implies :premises (t123))
% 0.39/0.59  (step t125 (cl (= (tptp.multiply (tptp.add tptp.a (tptp.additive_inverse tptp.a)) tptp.a) (tptp.add (tptp.multiply tptp.a tptp.a) (tptp.multiply (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t124 a3))
% 0.39/0.59  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t127)
% 0.39/0.59  (assume t127.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))
% 0.39/0.59  (step t127.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))) :rule forall_inst :args ((:= X tptp.additive_identity) (:= Y tptp.additive_identity) (:= Z tptp.a)))
% 0.39/0.59  (step t127.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule or :premises (t127.t1))
% 0.39/0.59  (step t127.t3 (cl (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t127.t2 t127.a0))
% 0.39/0.59  (step t127 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule subproof :discharge (t127.a0))
% 0.39/0.59  (step t128 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t126 t127))
% 0.39/0.59  (step t129 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t130 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))) :rule resolution :premises (t128 t129))
% 0.39/0.59  (step t131 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a))))) :rule contraction :premises (t130))
% 0.39/0.59  (step t132 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule implies :premises (t131))
% 0.39/0.59  (step t133 (cl (= (tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t132 a2))
% 0.39/0.59  (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t135)
% 0.39/0.59  (assume t135.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))
% 0.39/0.59  (step t135.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))) :rule forall_inst :args ((:= X (tptp.additive_inverse tptp.a)) (:= Y tptp.a)))
% 0.39/0.59  (step t135.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule or :premises (t135.t1))
% 0.39/0.59  (step t135.t3 (cl (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t135.t2 t135.a0))
% 0.39/0.59  (step t135 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule subproof :discharge (t135.a0))
% 0.39/0.59  (step t136 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t134 t135))
% 0.39/0.59  (step t137 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (not (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t138 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))) :rule resolution :premises (t136 t137))
% 0.39/0.59  (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a))))) :rule contraction :premises (t138))
% 0.39/0.59  (step t140 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X)))) (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule implies :premises (t139))
% 0.39/0.59  (step t141 (cl (= (tptp.add (tptp.additive_inverse tptp.a) tptp.a) (tptp.add tptp.a (tptp.additive_inverse tptp.a)))) :rule resolution :premises (t140 a12))
% 0.39/0.59  (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t143)
% 0.39/0.59  (assume t143.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))
% 0.39/0.59  (step t143.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))) :rule forall_inst :args ((:= X tptp.additive_identity) (:= Y (tptp.additive_inverse tptp.a)) (:= Z tptp.a)))
% 0.39/0.59  (step t143.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule or :premises (t143.t1))
% 0.39/0.59  (step t143.t3 (cl (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t143.t2 t143.a0))
% 0.39/0.59  (step t143 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule subproof :discharge (t143.a0))
% 0.39/0.59  (step t144 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t142 t143))
% 0.39/0.59  (step t145 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (not (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))) :rule implies_neg2)
% 0.39/0.59  (step t146 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))) :rule resolution :premises (t144 t145))
% 0.39/0.59  (step t147 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a))))) :rule contraction :premises (t146))
% 0.39/0.59  (step t148 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule implies :premises (t147))
% 0.39/0.59  (step t149 (cl (= (tptp.multiply tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)) (tptp.add (tptp.multiply tptp.additive_identity (tptp.additive_inverse tptp.a)) (tptp.multiply tptp.additive_identity tptp.a)))) :rule resolution :premises (t148 a2))
% 0.39/0.59  (step t150 (cl (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t151)
% 0.39/0.59  (assume t151.a0 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))
% 0.39/0.59  (step t151.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) (= tptp.a (tptp.add tptp.additive_identity tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.39/0.59  (step t151.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule or :premises (t151.t1))
% 0.39/0.59  (step t151.t3 (cl (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule resolution :premises (t151.t2 t151.a0))
% 0.39/0.59  (step t151 (cl (not (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule subproof :discharge (t151.a0))
% 0.39/0.59  (step t152 (cl (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule resolution :premises (t150 t151))
% 0.39/0.59  (step t153 (cl (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (not (= tptp.a (tptp.add tptp.additive_identity tptp.a)))) :rule implies_neg2)
% 0.39/0.59  (step t154 (cl (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a)))) :rule resolution :premises (t152 t153))
% 0.39/0.59  (step t155 (cl (=> (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))) (= tptp.a (tptp.add tptp.additive_identity tptp.a)))) :rule contraction :premises (t154))
% 0.39/0.59  (step t156 (cl (not (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule implies :premises (t155))
% 0.39/0.59  (step t157 (cl (not (= (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (not (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X))) (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t158 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t158.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t158.t2 (cl (= (= (tptp.add tptp.additive_identity X) X) (= X (tptp.add tptp.additive_identity X)))) :rule all_simplify)
% 0.39/0.59  (step t158 (cl (= (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) :rule bind)
% 0.39/0.59  (step t159 (cl (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X)))) :rule resolution :premises (t157 t158 a0))
% 0.39/0.59  (step t160 (cl (= tptp.a (tptp.add tptp.additive_identity tptp.a))) :rule resolution :premises (t156 t159))
% 0.39/0.59  (step t161 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t162)
% 0.39/0.59  (assume t162.a0 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))
% 0.39/0.59  (step t162.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))) :rule forall_inst :args ((:= X tptp.additive_identity)))
% 0.39/0.59  (step t162.t2 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule or :premises (t162.t1))
% 0.39/0.59  (step t162.t3 (cl (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule resolution :premises (t162.t2 t162.a0))
% 0.39/0.59  (step t162 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule subproof :discharge (t162.a0))
% 0.39/0.59  (step t163 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule resolution :premises (t161 t162))
% 0.39/0.59  (step t164 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (not (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))) :rule implies_neg2)
% 0.39/0.59  (step t165 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))) :rule resolution :premises (t163 t164))
% 0.39/0.59  (step t166 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))) :rule contraction :premises (t165))
% 0.39/0.59  (step t167 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule implies :premises (t166))
% 0.39/0.59  (step t168 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (not (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t169 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t169.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t169.t2 (cl (= (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) :rule all_simplify)
% 0.39/0.59  (step t169 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) :rule bind)
% 0.39/0.59  (step t170 (cl (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity)))) :rule resolution :premises (t168 t169 a6))
% 0.39/0.59  (step t171 (cl (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity))) :rule resolution :premises (t167 t170))
% 0.39/0.59  (step t172 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t173)
% 0.39/0.59  (assume t173.a0 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))
% 0.39/0.59  (step t173.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.39/0.59  (step t173.t2 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule or :premises (t173.t1))
% 0.39/0.59  (step t173.t3 (cl (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule resolution :premises (t173.t2 t173.a0))
% 0.39/0.59  (step t173 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule subproof :discharge (t173.a0))
% 0.39/0.59  (step t174 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule resolution :premises (t172 t173))
% 0.39/0.59  (step t175 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule implies_neg2)
% 0.39/0.59  (step t176 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule resolution :premises (t174 t175))
% 0.39/0.59  (step t177 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a)))) :rule contraction :premises (t176))
% 0.39/0.59  (step t178 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule implies :premises (t177))
% 0.39/0.59  (step t179 (cl (not (= (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) :rule equiv_pos2)
% 0.39/0.59  (anchor :step t180 :args ((X $$unsorted) (:= X X)))
% 0.39/0.59  (step t180.t1 (cl (= X X)) :rule refl)
% 0.39/0.59  (step t180.t2 (cl (= (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) :rule all_simplify)
% 0.39/0.59  (step t180 (cl (= (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) :rule bind)
% 0.39/0.59  (step t181 (cl (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) :rule resolution :premises (t179 t180 a1))
% 0.39/0.59  (step t182 (cl (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.a) tptp.a))) :rule resolution :premises (t178 t181))
% 0.39/0.59  (step t183 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) :rule implies_neg1)
% 0.39/0.59  (anchor :step t184)
% 0.39/0.59  (assume t184.a0 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))
% 0.39/0.59  (step t184.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule forall_inst :args ((:= X tptp.additive_identity)))
% 0.39/0.59  (step t184.t2 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule or :premises (t184.t1))
% 0.39/0.59  (step t184.t3 (cl (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule resolution :premises (t184.t2 t184.a0))
% 0.39/0.59  (step t184 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule subproof :discharge (t184.a0))
% 0.39/0.59  (step t185 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule resolution :premises (t183 t184))
% 0.39/0.59  (step t186 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (not (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule implies_neg2)
% 0.39/0.59  (step t187 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule resolution :premises (t185 t186))
% 0.39/0.59  (step t188 (cl (=> (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity)))) :rule contraction :premises (t187))
% 0.39/0.59  (step t189 (cl (not (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X)))) (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule implies :premises (t188))
% 0.39/0.59  (step t190 (cl (= tptp.additive_identity (tptp.add (tptp.additive_inverse tptp.additive_identity) tptp.additive_identity))) :rule resolution :premises (t189 t181))
% 0.39/0.59  (step t191 (cl (not (= tptp.additive_identity (tptp.add tptp.a tptp.a)))) :rule not_symm :premises (a15))
% 0.39/0.59  (step t192 (cl (= tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) :rule symm :premises (a4))
% 0.39/0.59  (step t193 (cl) :rule resolution :premises (t31 t42 t50 t63 t71 t79 t87 t95 t106 t117 t125 t133 t141 t149 t160 t171 t182 t190 t191 t192))
% 0.39/0.59  
% 0.39/0.59  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Ah8CSUbHrv/cvc5---1.0.5_29054.smt2
% 0.39/0.59  % cvc5---1.0.5 exiting
% 0.39/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------