%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG029-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:13 PM UTC 2026
% Result : Unsatisfiable 89.12s 14.24s
% Output : Refutation 94.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 21
% Syntax : Number of formulae : 295 ( 295 unt; 6 def)
% Number of atoms : 295 ( 294 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 39 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 660 ( 660 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f3,axiom,
! [X0] : multiply(additive_identity,X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f4,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f6,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f5]) ).
fof(f9,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
fof(f14,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f15,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f16,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_alternative) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
fof(f19,negated_conjecture,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),additive_inverse(multiply(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
fof(f20,negated_conjecture,
multiply(multiply(x,y),multiply(z,x)) != multiply(multiply(x,multiply(y,z)),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_middle_moufang) ).
fof(f21,definition,
sF0 = multiply(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
multiply(x,y) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = multiply(z,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
multiply(z,x) = sF1,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF2 = multiply(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f26,plain,
multiply(sF0,sF1) = sF2,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF3 = multiply(y,z),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
multiply(y,z) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF4 = multiply(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f30,plain,
multiply(x,sF3) = sF4,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF5 = multiply(sF4,x),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f32,plain,
multiply(sF4,x) = sF5,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
sF2 != sF5,
inference(definition_folding,[],[f20,f32,f30,f28,f26,f24,f22]) ).
fof(f35,plain,
sF2 = multiply(sF0,multiply(z,x)),
inference(forward_demodulation,[],[f26,f24]) ).
fof(f36,plain,
multiply(x,multiply(y,z)) = sF4,
inference(forward_demodulation,[],[f30,f28]) ).
fof(f37,plain,
sF2 != multiply(sF4,x),
inference(backward_demodulation,[],[f33,f32]) ).
fof(f38,plain,
multiply(multiply(x,y),multiply(z,x)) = sF2,
inference(forward_demodulation,[],[f35,f22]) ).
fof(f40,plain,
multiply(multiply(x,multiply(y,z)),x) != sF2,
inference(forward_demodulation,[],[f37,f36]) ).
fof(f41,plain,
multiply(multiply(x,y),multiply(z,x)) != multiply(multiply(x,multiply(y,z)),x),
inference(forward_demodulation,[],[f40,f38]) ).
fof(f45,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))),
inference(superposition,[],[f18,f17]) ).
fof(f50,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(multiply(multiply(X0,X0),X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f18,f17]) ).
fof(f51,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(multiply(X0,multiply(X0,X1)),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f50,f17]) ).
fof(f57,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X0,multiply(X1,X1)))),
inference(superposition,[],[f18,f16]) ).
fof(f61,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(multiply(X0,multiply(X1,X1)),X2),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2)))),
inference(superposition,[],[f18,f16]) ).
fof(f65,plain,
! [X2,X0,X1] : add(multiply(X2,multiply(X1,X0)),multiply(X2,additive_inverse(multiply(X0,X1)))) = multiply(X2,commutator(X0,X1)),
inference(superposition,[],[f12,f19]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,multiply(add(X1,X2),X3)))),
inference(superposition,[],[f18,f12]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X0,X1),X3)),additive_inverse(multiply(X0,multiply(X1,add(X2,X3))))),
inference(superposition,[],[f18,f12]) ).
fof(f76,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(multiply(X0,add(X1,X2)),X1),multiply(multiply(X0,add(X1,X2)),X2)),
inference(superposition,[],[f16,f12]) ).
fof(f77,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X1),multiply(add(multiply(X0,X1),multiply(X0,X2)),X2)),
inference(forward_demodulation,[],[f76,f12]) ).
fof(f79,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(multiply(X0,multiply(X1,add(X2,X3)))))),
inference(forward_demodulation,[],[f74,f15]) ).
fof(f80,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,add(multiply(X1,X3),multiply(X2,X3))))),
inference(forward_demodulation,[],[f73,f13]) ).
fof(f88,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X1),add(multiply(multiply(X0,X1),X2),multiply(multiply(X0,X2),X2))),
inference(forward_demodulation,[],[f77,f13]) ).
fof(f90,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(multiply(X0,add(multiply(X1,X2),multiply(X1,X3)))))),
inference(forward_demodulation,[],[f79,f12]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f80,f12]) ).
fof(f99,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X0,X2),X2)),multiply(add(multiply(X0,X1),multiply(X0,X2)),X1)),
inference(forward_demodulation,[],[f88,f14]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f90,f12]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X0,X2),X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f91,f13]) ).
fof(f108,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X2),X2),multiply(add(multiply(X0,X1),multiply(X0,X2)),X1))),
inference(forward_demodulation,[],[f99,f15]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f102,f15]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X2),X2),add(multiply(multiply(X0,X1),X1),multiply(multiply(X0,X2),X1)))),
inference(forward_demodulation,[],[f108,f13]) ).
fof(f117,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X2),X2),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))),
inference(forward_demodulation,[],[f113,f16]) ).
fof(f121,plain,
! [X2,X0,X1] : multiply(X0,multiply(add(X1,X2),add(X1,X2))) = add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))),
inference(forward_demodulation,[],[f117,f16]) ).
fof(f125,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = multiply(X0,add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2))),
inference(forward_demodulation,[],[f121,f12]) ).
fof(f129,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,multiply(add(X1,X2),X1)),multiply(X0,multiply(add(X1,X2),X2))),
inference(forward_demodulation,[],[f125,f12]) ).
fof(f133,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,multiply(add(X1,X2),X1)),multiply(X0,add(multiply(X1,X2),multiply(X2,X2)))),
inference(forward_demodulation,[],[f129,f13]) ).
fof(f137,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,add(multiply(X1,X2),multiply(X2,X2))),multiply(X0,multiply(add(X1,X2),X1))),
inference(forward_demodulation,[],[f133,f14]) ).
fof(f141,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,add(multiply(X1,X2),multiply(X2,X2))),multiply(X0,add(multiply(X1,X1),multiply(X2,X1)))),
inference(forward_demodulation,[],[f137,f13]) ).
fof(f145,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,add(multiply(X1,X2),multiply(X2,X2))),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1)))),
inference(forward_demodulation,[],[f141,f12]) ).
fof(f149,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X2,X2))),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1)))),
inference(forward_demodulation,[],[f145,f12]) ).
fof(f153,plain,
! [X2,X0,X1] : add(multiply(multiply(X0,X1),X2),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))) = add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))),
inference(forward_demodulation,[],[f149,f15]) ).
fof(f165,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(X1,additive_inverse(X1)),
inference(superposition,[],[f10,f10]) ).
fof(f168,plain,
! [X0] : additive_identity = commutator(X0,X0),
inference(superposition,[],[f19,f10]) ).
fof(f169,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[],[f15,f10]) ).
fof(f171,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f15,f10]) ).
fof(f173,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f169,f1]) ).
fof(f189,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f15,f14]) ).
fof(f192,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f173,f14]) ).
fof(f194,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f189,f15]) ).
fof(f214,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(add(X0,X3),X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(superposition,[],[f18,f13]) ).
fof(f215,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(add(multiply(X0,X1),multiply(X3,X1)),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f214,f13]) ).
fof(f229,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X3,X1),X2)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f215,f13]) ).
fof(f239,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f229,f15]) ).
fof(f381,plain,
! [X0,X1] : add(commutator(X0,X0),X1) = X1,
inference(superposition,[],[f1,f168]) ).
fof(f399,plain,
! [X0,X1] : commutator(X0,X0) = multiply(commutator(X0,X0),X1),
inference(superposition,[],[f4,f168]) ).
fof(f400,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = multiply(add(X0,additive_inverse(X0)),X1),
inference(superposition,[],[f4,f10]) ).
fof(f423,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f400,f13]) ).
fof(f447,plain,
! [X0,X1] : add(multiply(X0,X1),additive_inverse(multiply(X0,X1))) = add(multiply(X0,multiply(X1,X1)),multiply(additive_inverse(multiply(X0,X1)),X1)),
inference(superposition,[],[f423,f16]) ).
fof(f451,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(multiply(additive_inverse(X0),X1),X2)) = add(add(X0,additive_inverse(X0)),X2),
inference(superposition,[],[f15,f423]) ).
fof(f452,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(X1,multiply(additive_inverse(X0),X2))) = multiply(X1,add(X0,additive_inverse(X0))),
inference(superposition,[],[f12,f423]) ).
fof(f453,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X0,X2)),multiply(X1,multiply(additive_inverse(X0),X2))) = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
inference(forward_demodulation,[],[f452,f12]) ).
fof(f454,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(multiply(additive_inverse(X0),X1),X2)) = add(X0,add(additive_inverse(X0),X2)),
inference(forward_demodulation,[],[f451,f15]) ).
fof(f462,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(multiply(additive_inverse(X0),X1),X2)) = X2,
inference(forward_demodulation,[],[f454,f173]) ).
fof(f496,plain,
! [X0,X1] : additive_inverse(additive_inverse(X1)) = add(X1,add(X0,additive_inverse(X0))),
inference(superposition,[],[f173,f165]) ).
fof(f497,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X0))) = X1,
inference(forward_demodulation,[],[f496,f11]) ).
fof(f564,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f192,f15]) ).
fof(f565,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f192,f18]) ).
fof(f581,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f565,f14]) ).
fof(f584,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f101,f581]) ).
fof(f585,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(associator(X0,X1,X3),multiply(X0,multiply(X1,X3))),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(backward_demodulation,[],[f109,f581]) ).
fof(f586,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1)))),
inference(backward_demodulation,[],[f153,f581]) ).
fof(f591,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f239,f581]) ).
fof(f597,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(multiply(X0,multiply(X1,X1)),X2),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f61,f581]) ).
fof(f599,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = add(associator(X0,X0,X1),multiply(X0,multiply(X0,X1))),
inference(backward_demodulation,[],[f17,f581]) ).
fof(f602,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(associator(X0,multiply(X0,X1),X2),multiply(X0,multiply(multiply(X0,X1),X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(backward_demodulation,[],[f51,f581]) ).
fof(f613,plain,
multiply(multiply(x,multiply(y,z)),x) != add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))),
inference(backward_demodulation,[],[f41,f581]) ).
fof(f617,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(y,z),x),multiply(x,multiply(multiply(y,z),x))),
inference(forward_demodulation,[],[f613,f581]) ).
fof(f628,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,multiply(multiply(X0,X1),X2)),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f602,f15]) ).
fof(f632,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(add(associator(X0,multiply(X1,X1),X2),multiply(X0,multiply(multiply(X1,X1),X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f597,f581]) ).
fof(f637,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f591,f15]) ).
fof(f642,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X2),X1))))),
inference(forward_demodulation,[],[f586,f15]) ).
fof(f643,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f585,f15]) ).
fof(f644,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f584,f15]) ).
fof(f648,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(y,z),x),multiply(x,add(associator(y,z,x),multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f617,f581]) ).
fof(f659,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f628,f581]) ).
fof(f663,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,multiply(multiply(X1,X1),X2)),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f632,f15]) ).
fof(f668,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(add(associator(X3,X1,X2),multiply(X3,multiply(X1,X2))),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f637,f581]) ).
fof(f671,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1))))))),
inference(forward_demodulation,[],[f642,f581]) ).
fof(f672,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(add(associator(X0,X2,X3),multiply(X0,multiply(X2,X3))),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f643,f581]) ).
fof(f673,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(add(associator(X0,X1,X3),multiply(X0,multiply(X1,X3))),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f644,f581]) ).
fof(f676,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(y,z),x),add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f648,f12]) ).
fof(f686,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f659,f12]) ).
fof(f690,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,add(associator(X1,X1,X2),multiply(X1,multiply(X1,X2)))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f663,f581]) ).
fof(f694,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X3,X1,X2),add(multiply(X3,multiply(X1,X2)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f668,f15]) ).
fof(f697,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(associator(X0,X2,X3),add(multiply(X0,multiply(X2,X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))))),
inference(forward_demodulation,[],[f672,f15]) ).
fof(f698,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))))),
inference(forward_demodulation,[],[f673,f15]) ).
fof(f699,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(y,z,x)),add(associator(x,multiply(y,z),x),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f676,f194]) ).
fof(f709,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),add(multiply(X0,multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f686,f15]) ).
fof(f712,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(add(multiply(X0,associator(X1,X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f690,f12]) ).
fof(f725,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2))),
inference(forward_demodulation,[],[f709,f497]) ).
fof(f728,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f712,f15]) ).
fof(f928,plain,
! [X0,X1] : commutator(X0,X0) = multiply(X1,commutator(X0,X0)),
inference(superposition,[],[f6,f168]) ).
fof(f929,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = multiply(X1,add(X0,additive_inverse(X0))),
inference(superposition,[],[f6,f10]) ).
fof(f946,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
inference(forward_demodulation,[],[f929,f12]) ).
fof(f958,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X1,multiply(X0,X2)),multiply(X1,multiply(additive_inverse(X0),X2))),
inference(backward_demodulation,[],[f453,f946]) ).
fof(f1676,plain,
! [X2,X0,X1] : add(X1,additive_identity) = add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))),
inference(superposition,[],[f194,f171]) ).
fof(f1680,plain,
! [X0,X1] : add(X0,additive_identity) = add(X1,additive_inverse(add(additive_inverse(X0),X1))),
inference(superposition,[],[f173,f171]) ).
fof(f1683,plain,
! [X0,X1] : add(X1,additive_inverse(add(additive_inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1680,f2]) ).
fof(f1687,plain,
! [X2,X0,X1] : add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))) = X1,
inference(forward_demodulation,[],[f1676,f2]) ).
fof(f1726,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(backward_demodulation,[],[f694,f1687]) ).
fof(f1727,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),associator(X0,X1,X3)),
inference(backward_demodulation,[],[f698,f1687]) ).
fof(f1728,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(backward_demodulation,[],[f697,f1687]) ).
fof(f1751,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1683,f11]) ).
fof(f1825,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),additive_inverse(associator(X0,X1,multiply(X1,X2))))),
inference(backward_demodulation,[],[f728,f1751]) ).
fof(f1840,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1751,f14]) ).
fof(f1858,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),additive_inverse(add(X0,additive_inverse(X0)))),
inference(superposition,[],[f1751,f423]) ).
fof(f1859,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(multiply(X1,additive_inverse(X0)),additive_inverse(add(X0,additive_inverse(X0)))),
inference(superposition,[],[f1751,f946]) ).
fof(f1862,plain,
! [X0,X1] : add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))) = additive_inverse(associator(X0,X0,X1)),
inference(superposition,[],[f1751,f599]) ).
fof(f1877,plain,
! [X0,X1] : add(X1,additive_inverse(X0)) = additive_inverse(add(X0,additive_inverse(X1))),
inference(superposition,[],[f173,f1751]) ).
fof(f1898,plain,
! [X0,X1] : associator(X0,X0,X1) = additive_inverse(associator(X0,X0,X1)),
inference(forward_demodulation,[],[f1862,f45]) ).
fof(f1899,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(multiply(X1,additive_inverse(X0)),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f1859,f1877]) ).
fof(f1900,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f1858,f1877]) ).
fof(f1923,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(add(X0,additive_inverse(X0)),multiply(X1,additive_inverse(X0))),
inference(forward_demodulation,[],[f1899,f14]) ).
fof(f1924,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(add(X0,additive_inverse(X0)),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f1900,f14]) ).
fof(f1937,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(X0,add(additive_inverse(X0),multiply(X1,additive_inverse(X0)))),
inference(forward_demodulation,[],[f1923,f15]) ).
fof(f1938,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(X0,add(additive_inverse(X0),multiply(additive_inverse(X0),X1))),
inference(forward_demodulation,[],[f1924,f15]) ).
fof(f1939,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = multiply(X1,additive_inverse(X0)),
inference(forward_demodulation,[],[f1937,f173]) ).
fof(f1940,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f1938,f173]) ).
fof(f1942,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X0,multiply(X1,X1)),multiply(X0,additive_inverse(multiply(X1,X1)))),
inference(backward_demodulation,[],[f57,f1939]) ).
fof(f1947,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),multiply(X0,additive_inverse(multiply(X0,X1)))),
inference(backward_demodulation,[],[f45,f1939]) ).
fof(f1950,plain,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),multiply(X0,additive_inverse(X1))),
inference(backward_demodulation,[],[f19,f1939]) ).
fof(f1951,plain,
! [X2,X0,X1] : multiply(X2,commutator(X0,X1)) = add(multiply(X2,multiply(X1,X0)),multiply(X2,multiply(X0,additive_inverse(X1)))),
inference(backward_demodulation,[],[f65,f1939]) ).
fof(f1953,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,additive_inverse(X1)),X1)),
inference(backward_demodulation,[],[f447,f1939]) ).
fof(f1963,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f1940,f1939]) ).
fof(f1969,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = add(multiply(X0,multiply(X1,X1)),add(associator(X0,additive_inverse(X1),X1),multiply(X0,multiply(additive_inverse(X1),X1)))),
inference(forward_demodulation,[],[f1953,f581]) ).
fof(f1972,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,X1),additive_inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1947,f946]) ).
fof(f1977,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X1,X1),additive_inverse(multiply(X1,X1))),
inference(forward_demodulation,[],[f1942,f946]) ).
fof(f1980,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = add(multiply(X0,multiply(X1,X1)),add(associator(X0,additive_inverse(X1),X1),multiply(X0,multiply(X1,additive_inverse(X1))))),
inference(forward_demodulation,[],[f1969,f1963]) ).
fof(f1982,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(forward_demodulation,[],[f1972,f1939]) ).
fof(f1985,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X1,X1),multiply(X1,additive_inverse(X1))),
inference(forward_demodulation,[],[f1977,f1939]) ).
fof(f1986,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(multiply(X0,multiply(X1,X1)),add(associator(X0,additive_inverse(X1),X1),multiply(X0,multiply(X1,additive_inverse(X1))))),
inference(forward_demodulation,[],[f1980,f946]) ).
fof(f1987,plain,
! [X0,X1] : associator(X0,X0,X1) = add(X1,additive_inverse(X1)),
inference(forward_demodulation,[],[f1982,f946]) ).
fof(f1989,plain,
! [X0,X1] : associator(X0,X1,X1) = add(X1,additive_inverse(X1)),
inference(forward_demodulation,[],[f1985,f946]) ).
fof(f2001,plain,
! [X0,X1] : commutator(X1,additive_inverse(X0)) = add(multiply(additive_inverse(X0),X1),multiply(X1,X0)),
inference(superposition,[],[f1950,f11]) ).
fof(f2070,plain,
! [X2,X0,X1] : add(X2,associator(X0,X0,X1)) = X2,
inference(superposition,[],[f497,f1987]) ).
fof(f2075,plain,
! [X2,X0,X1] : multiply(X2,associator(X0,X0,X1)) = add(multiply(X2,X1),multiply(X2,additive_inverse(X1))),
inference(superposition,[],[f12,f1987]) ).
fof(f2077,plain,
! [X2,X0,X1] : add(X1,add(additive_inverse(X1),X2)) = add(associator(X0,X0,X1),X2),
inference(superposition,[],[f15,f1987]) ).
fof(f2094,plain,
! [X2,X0,X1] : add(associator(X0,X0,X1),X2) = X2,
inference(forward_demodulation,[],[f2077,f173]) ).
fof(f2096,plain,
! [X2,X0,X1] : add(X1,additive_inverse(X1)) = multiply(X2,associator(X0,X0,X1)),
inference(forward_demodulation,[],[f2075,f946]) ).
fof(f2196,plain,
! [X2,X0,X1] : add(X1,add(additive_inverse(X1),X2)) = add(associator(X0,X1,X1),X2),
inference(superposition,[],[f15,f1989]) ).
fof(f2215,plain,
! [X2,X0,X1] : add(associator(X0,X1,X1),X2) = X2,
inference(forward_demodulation,[],[f2196,f173]) ).
fof(f2326,plain,
! [X2,X3,X0,X1] : add(X2,add(additive_inverse(X2),X3)) = add(multiply(X0,associator(X1,X1,X2)),X3),
inference(superposition,[],[f15,f2096]) ).
fof(f2363,plain,
! [X2,X3,X0,X1] : add(multiply(X0,associator(X1,X1,X2)),X3) = X3,
inference(forward_demodulation,[],[f2326,f173]) ).
fof(f2389,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),additive_inverse(associator(X0,X1,multiply(X1,X2)))),
inference(backward_demodulation,[],[f1825,f2363]) ).
fof(f2444,plain,
! [X2,X0,X1] : associator(X1,add(X2,X1),X0) = add(associator(X1,X2,X0),add(X0,additive_inverse(X0))),
inference(superposition,[],[f1728,f1987]) ).
fof(f2445,plain,
! [X2,X0,X1] : add(associator(X1,X2,X0),add(X0,additive_inverse(X0))) = associator(X1,add(X2,X0),X0),
inference(superposition,[],[f1728,f1989]) ).
fof(f2450,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X0,X1),X2),
inference(superposition,[],[f2094,f1728]) ).
fof(f2470,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,add(X2,X0),X0),
inference(forward_demodulation,[],[f2445,f497]) ).
fof(f2471,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,add(X2,X1),X0),
inference(forward_demodulation,[],[f2444,f497]) ).
fof(f2550,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X1,X2)),
inference(superposition,[],[f2215,f1727]) ).
fof(f2696,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X0,X1),X0,X2),
inference(superposition,[],[f2094,f1726]) ).
fof(f2699,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,X1),X1,X2),
inference(superposition,[],[f2070,f1726]) ).
fof(f2737,plain,
! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)),
inference(superposition,[],[f1963,f11]) ).
fof(f2889,plain,
! [X2,X0,X1] : add(X2,additive_inverse(X0)) = add(X1,add(X2,additive_inverse(add(X1,X0)))),
inference(superposition,[],[f194,f1840]) ).
fof(f3852,plain,
! [X2,X3,X0,X1] : add(X3,multiply(X0,commutator(X1,X2))) = add(multiply(X0,multiply(X2,X1)),add(X3,multiply(X0,multiply(X1,additive_inverse(X2))))),
inference(superposition,[],[f194,f1951]) ).
fof(f3857,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(associator(X0,additive_inverse(X1),X1),multiply(X0,commutator(X1,X1))),
inference(backward_demodulation,[],[f1986,f3852]) ).
fof(f3902,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(associator(X0,additive_inverse(X1),X1),commutator(X1,X1)),
inference(forward_demodulation,[],[f3857,f928]) ).
fof(f3941,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(commutator(X1,X1),associator(X0,additive_inverse(X1),X1)),
inference(forward_demodulation,[],[f3902,f14]) ).
fof(f3972,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = associator(X0,additive_inverse(X1),X1),
inference(forward_demodulation,[],[f3941,f381]) ).
fof(f4027,plain,
! [X0,X1] : add(additive_inverse(X0),X0) = associator(X1,X0,additive_inverse(X0)),
inference(superposition,[],[f3972,f11]) ).
fof(f4088,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(X1,X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4027,f14]) ).
fof(f4458,plain,
! [X2,X0,X1] : add(associator(X1,X0,X2),add(X0,additive_inverse(X0))) = associator(X1,X0,add(X2,additive_inverse(X0))),
inference(superposition,[],[f1727,f4088]) ).
fof(f4466,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(X1,X0,add(X2,additive_inverse(X0))),
inference(forward_demodulation,[],[f4458,f497]) ).
fof(f8191,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,multiply(X0,X1),X2)) = add(multiply(X0,associator(X0,X1,X2)),additive_inverse(associator(multiply(X0,X0),X1,X2))),
inference(superposition,[],[f1751,f725]) ).
fof(f8192,plain,
! [X2,X0,X1] : additive_inverse(multiply(X0,associator(X0,X1,X2))) = add(associator(X0,multiply(X0,X1),X2),additive_inverse(associator(multiply(X0,X0),X1,X2))),
inference(superposition,[],[f1840,f725]) ).
fof(f8193,plain,
! [X2,X0,X1] : add(associator(X0,multiply(X0,X1),X2),additive_inverse(associator(multiply(X0,X0),X1,X2))) = multiply(X0,additive_inverse(associator(X0,X1,X2))),
inference(forward_demodulation,[],[f8192,f1939]) ).
fof(f8275,plain,
! [X2,X0,X1] : add(associator(X0,multiply(X0,X1),X2),additive_inverse(associator(multiply(X0,X0),X1,X2))) = multiply(additive_inverse(X0),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f8193,f1963]) ).
fof(f12133,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = multiply(add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)),X1),
inference(superposition,[],[f399,f2001]) ).
fof(f12233,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(multiply(multiply(additive_inverse(X0),additive_inverse(X0)),X1),multiply(multiply(additive_inverse(X0),X0),X1)),
inference(forward_demodulation,[],[f12133,f13]) ).
fof(f12270,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(multiply(multiply(additive_inverse(X0),X0),X1),multiply(multiply(additive_inverse(X0),additive_inverse(X0)),X1)),
inference(forward_demodulation,[],[f12233,f14]) ).
fof(f12298,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(multiply(multiply(additive_inverse(X0),X0),X1),add(associator(additive_inverse(X0),additive_inverse(X0),X1),multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1)))),
inference(forward_demodulation,[],[f12270,f581]) ).
fof(f12316,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(add(associator(additive_inverse(X0),additive_inverse(X0),X1),multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1))),multiply(multiply(additive_inverse(X0),X0),X1)),
inference(forward_demodulation,[],[f12298,f14]) ).
fof(f12329,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(associator(additive_inverse(X0),additive_inverse(X0),X1),add(multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1)),multiply(multiply(additive_inverse(X0),X0),X1))),
inference(forward_demodulation,[],[f12316,f15]) ).
fof(f12337,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1)),multiply(multiply(additive_inverse(X0),X0),X1)),
inference(forward_demodulation,[],[f12329,f2094]) ).
fof(f12340,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1)),add(associator(additive_inverse(X0),X0,X1),multiply(additive_inverse(X0),multiply(X0,X1)))),
inference(forward_demodulation,[],[f12337,f581]) ).
fof(f12342,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(add(associator(additive_inverse(X0),X0,X1),multiply(additive_inverse(X0),multiply(X0,X1))),multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1))),
inference(forward_demodulation,[],[f12340,f14]) ).
fof(f12343,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(associator(additive_inverse(X0),X0,X1),add(multiply(additive_inverse(X0),multiply(X0,X1)),multiply(additive_inverse(X0),multiply(additive_inverse(X0),X1)))),
inference(forward_demodulation,[],[f12342,f15]) ).
fof(f12344,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = add(associator(additive_inverse(X0),X0,X1),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f12343,f958]) ).
fof(f12345,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X0)),multiply(additive_inverse(X0),X0)) = associator(additive_inverse(X0),X0,X1),
inference(forward_demodulation,[],[f12344,f497]) ).
fof(f12346,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),X0),multiply(additive_inverse(X0),additive_inverse(X0))) = associator(additive_inverse(X0),X0,X1),
inference(forward_demodulation,[],[f12345,f14]) ).
fof(f12347,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(additive_inverse(X0),X0,X1),
inference(forward_demodulation,[],[f12346,f946]) ).
fof(f12374,plain,
! [X0,X1] : add(additive_inverse(X0),X0) = associator(X0,additive_inverse(X0),X1),
inference(superposition,[],[f12347,f11]) ).
fof(f12425,plain,
! [X2,X0,X1] : add(associator(X1,X0,X2),add(X0,additive_inverse(X0))) = associator(add(X1,additive_inverse(X0)),X0,X2),
inference(superposition,[],[f1726,f12347]) ).
fof(f12440,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X1,additive_inverse(X0)),X0,X2),
inference(forward_demodulation,[],[f12425,f497]) ).
fof(f12466,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(X0,additive_inverse(X0),X1),
inference(forward_demodulation,[],[f12374,f14]) ).
fof(f12664,plain,
! [X2,X0,X1] : associator(X0,add(X1,additive_inverse(X0)),X2) = add(associator(X0,X1,X2),add(X0,additive_inverse(X0))),
inference(superposition,[],[f1728,f12466]) ).
fof(f12688,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X1,additive_inverse(X0)),X2),
inference(forward_demodulation,[],[f12664,f497]) ).
fof(f16317,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1)))))),additive_inverse(add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))))),
inference(superposition,[],[f1751,f671]) ).
fof(f16319,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(multiply(X0,multiply(X1,X2)),add(add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1))))),additive_inverse(add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1)))))))),
inference(forward_demodulation,[],[f16317,f15]) ).
fof(f16585,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1))))),additive_inverse(add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1)))))),
inference(forward_demodulation,[],[f16319,f2889]) ).
fof(f16812,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(multiply(X0,multiply(X2,X2)),add(add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1)))),additive_inverse(add(multiply(X0,multiply(X2,X2)),add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))))),
inference(forward_demodulation,[],[f16585,f15]) ).
fof(f17029,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(add(multiply(X0,multiply(X1,X1)),add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1)))),additive_inverse(add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1))))),
inference(forward_demodulation,[],[f16812,f2889]) ).
fof(f17218,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(multiply(X0,multiply(X1,X1)),add(add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1))),additive_inverse(add(multiply(X0,multiply(X1,X1)),multiply(X0,multiply(X2,X1)))))),
inference(forward_demodulation,[],[f17029,f15]) ).
fof(f17385,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(add(associator(X0,X2,X1),multiply(X0,multiply(X2,X1))),additive_inverse(multiply(X0,multiply(X2,X1)))),
inference(forward_demodulation,[],[f17218,f2889]) ).
fof(f17541,plain,
! [X2,X0,X1] : additive_inverse(associator(X0,X1,X2)) = add(associator(X0,X2,X1),add(multiply(X0,multiply(X2,X1)),additive_inverse(multiply(X0,multiply(X2,X1))))),
inference(forward_demodulation,[],[f17385,f15]) ).
fof(f17691,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f17541,f497]) ).
fof(f17834,plain,
! [X0,X1] : associator(X0,X0,X1) = associator(X0,X1,X0),
inference(backward_demodulation,[],[f1898,f17691]) ).
fof(f17848,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),associator(X0,multiply(X1,X2),X1)),
inference(backward_demodulation,[],[f2389,f17691]) ).
fof(f17858,plain,
! [X2,X0,X1] : add(multiply(X0,associator(X0,X1,X2)),additive_inverse(associator(multiply(X0,X0),X1,X2))) = associator(X0,X2,multiply(X0,X1)),
inference(backward_demodulation,[],[f8191,f17691]) ).
fof(f17868,plain,
! [X2,X0,X1] : multiply(additive_inverse(X0),associator(X0,X1,X2)) = add(associator(X0,multiply(X0,X1),X2),associator(multiply(X0,X0),X2,X1)),
inference(backward_demodulation,[],[f8275,f17691]) ).
fof(f18023,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(multiply(X0,associator(X0,X1,X2)),associator(multiply(X0,X0),X2,X1)),
inference(forward_demodulation,[],[f17858,f17691]) ).
fof(f18035,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(y,z,x)),add(associator(x,x,multiply(y,z)),multiply(x,multiply(y,multiply(z,x))))),
inference(backward_demodulation,[],[f699,f17834]) ).
fof(f18164,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(multiply(X0,X0),X2,X1),multiply(X0,associator(X0,X1,X2))),
inference(forward_demodulation,[],[f18023,f14]) ).
fof(f18175,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))),
inference(forward_demodulation,[],[f18035,f2094]) ).
fof(f24828,plain,
! [X2,X3,X0,X1] : add(associator(X0,X2,X1),add(X3,associator(X0,X1,X2))) = X3,
inference(superposition,[],[f192,f17691]) ).
fof(f24852,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X0,X2,X1)) = multiply(additive_inverse(X3),associator(X0,X1,X2)),
inference(superposition,[],[f2737,f17691]) ).
fof(f24911,plain,
! [X2,X0,X1] : multiply(X0,associator(X0,X2,X1)) = add(associator(X0,multiply(X0,X1),X2),associator(multiply(X0,X0),X2,X1)),
inference(backward_demodulation,[],[f17868,f24852]) ).
fof(f25003,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(multiply(X0,X0),X2,X1),add(associator(X0,multiply(X0,X2),X1),associator(multiply(X0,X0),X1,X2))),
inference(backward_demodulation,[],[f18164,f24911]) ).
fof(f25034,plain,
! [X2,X0,X1] : associator(X0,multiply(X0,X2),X1) = associator(X0,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f25003,f24828]) ).
fof(f40927,plain,
! [X2,X0,X1] : add(X0,additive_inverse(multiply(X1,X2))) = add(multiply(additive_inverse(X1),X2),X0),
inference(superposition,[],[f564,f462]) ).
fof(f40944,plain,
! [X2,X0,X1] : add(X0,multiply(X1,additive_inverse(X2))) = add(multiply(additive_inverse(X1),X2),X0),
inference(forward_demodulation,[],[f40927,f1939]) ).
fof(f51706,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(add(X0,additive_inverse(X1)),X0,X2),
inference(superposition,[],[f2471,f192]) ).
fof(f51741,plain,
! [X2,X3,X0,X1] : associator(X0,multiply(additive_inverse(X1),X2),X3) = associator(X0,add(X0,multiply(X1,additive_inverse(X2))),X3),
inference(superposition,[],[f2471,f40944]) ).
fof(f52021,plain,
! [X2,X3,X0,X1] : associator(X0,multiply(X1,additive_inverse(X2)),X3) = associator(X0,multiply(additive_inverse(X1),X2),X3),
inference(forward_demodulation,[],[f51741,f2450]) ).
fof(f52049,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f51706,f2696]) ).
fof(f52092,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f52049,f12440]) ).
fof(f52258,plain,
! [X2,X0,X1] : associator(X1,X2,add(X0,additive_inverse(X2))) = associator(X1,X0,add(X0,additive_inverse(X2))),
inference(superposition,[],[f2470,f192]) ).
fof(f52589,plain,
! [X2,X0,X1] : associator(X1,X0,additive_inverse(X2)) = associator(X1,X2,add(X0,additive_inverse(X2))),
inference(forward_demodulation,[],[f52258,f2550]) ).
fof(f52618,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,X0,additive_inverse(X2)),
inference(forward_demodulation,[],[f52589,f4466]) ).
fof(f52890,plain,
! [X2,X3,X0,X1] : associator(X2,multiply(X0,X1),X3) = associator(X2,X3,multiply(X0,additive_inverse(X1))),
inference(superposition,[],[f52618,f1939]) ).
fof(f52891,plain,
! [X2,X0,X1] : associator(X1,additive_inverse(X0),X2) = associator(X1,X2,X0),
inference(superposition,[],[f52618,f11]) ).
fof(f53554,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(y,additive_inverse(x),z)),multiply(x,multiply(y,multiply(z,x)))),
inference(backward_demodulation,[],[f18175,f52891]) ).
fof(f53640,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(additive_inverse(additive_inverse(x)),y,z)),multiply(x,multiply(y,multiply(z,x)))),
inference(forward_demodulation,[],[f53554,f52092]) ).
fof(f53694,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(multiply(x,associator(x,y,z)),multiply(x,multiply(y,multiply(z,x)))),
inference(forward_demodulation,[],[f53640,f11]) ).
fof(f53717,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(add(associator(x,multiply(x,z),y),associator(multiply(x,x),y,z)),multiply(x,multiply(y,multiply(z,x)))),
inference(forward_demodulation,[],[f53694,f24911]) ).
fof(f53734,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(x,z),y),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53717,f15]) ).
fof(f53740,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(multiply(x,x),y,z),add(associator(x,multiply(x,z),y),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53734,f194]) ).
fof(f53745,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(multiply(x,x),y,z),add(associator(x,z,multiply(x,y)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53740,f25034]) ).
fof(f53750,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,z,multiply(x,y)),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53745,f194]) ).
fof(f53755,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53750,f52891]) ).
fof(f53758,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(x,additive_inverse(y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53755,f1939]) ).
fof(f53761,plain,
add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f53758,f52021]) ).
fof(f53767,plain,
! [X2,X3,X0,X1] : associator(X2,X3,multiply(X0,X1)) = associator(X2,multiply(X0,additive_inverse(X1)),X3),
inference(superposition,[],[f52891,f1939]) ).
fof(f54129,plain,
! [X2,X0,X1] : associator(multiply(X0,X2),X2,X1) = add(associator(X0,additive_inverse(X1),multiply(X2,X2)),associator(X0,multiply(X2,X1),X2)),
inference(superposition,[],[f17848,f52891]) ).
fof(f54512,plain,
! [X2,X0,X1] : associator(X1,add(X0,additive_inverse(X1)),X2) = associator(X0,add(X0,additive_inverse(X1)),X2),
inference(superposition,[],[f2699,f192]) ).
fof(f54814,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = associator(X1,add(X0,additive_inverse(X1)),X2),
inference(forward_demodulation,[],[f54512,f2450]) ).
fof(f54851,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(X0,additive_inverse(X1),X2),
inference(forward_demodulation,[],[f54814,f12688]) ).
fof(f56430,plain,
! [X2,X3,X0,X1] : associator(multiply(X0,X1),X2,X3) = associator(X2,multiply(X0,additive_inverse(X1)),X3),
inference(superposition,[],[f54851,f1939]) ).
fof(f56674,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X1,X2,X0),
inference(superposition,[],[f52891,f54851]) ).
fof(f56797,plain,
! [X2,X0,X1] : associator(X2,X1,multiply(X0,X2)) = add(associator(X0,additive_inverse(X1),multiply(X2,X2)),associator(X0,multiply(X2,X1),X2)),
inference(backward_demodulation,[],[f54129,f56674]) ).
fof(f57121,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(add(associator(z,additive_inverse(y),multiply(x,x)),associator(z,multiply(x,y),x)),multiply(x,multiply(y,multiply(z,x)))),
inference(backward_demodulation,[],[f53761,f56797]) ).
fof(f57183,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,additive_inverse(y),multiply(x,x)),add(associator(z,multiply(x,y),x),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57121,f15]) ).
fof(f57202,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,multiply(x,y),x),add(associator(z,additive_inverse(y),multiply(x,x)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57183,f194]) ).
fof(f57207,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,multiply(x,y),x),add(associator(z,multiply(x,additive_inverse(x)),additive_inverse(y)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57202,f53767]) ).
fof(f57210,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,multiply(x,additive_inverse(x)),additive_inverse(y)),add(associator(z,multiply(x,y),x),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57207,f194]) ).
fof(f57213,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,multiply(x,additive_inverse(x)),additive_inverse(y)),add(associator(z,x,multiply(x,additive_inverse(y))),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57210,f52890]) ).
fof(f57216,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,x,multiply(x,additive_inverse(y))),add(associator(z,multiply(x,additive_inverse(x)),additive_inverse(y)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57213,f194]) ).
fof(f57219,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(z,x,multiply(x,additive_inverse(y))),add(associator(multiply(x,x),z,additive_inverse(y)),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57216,f56430]) ).
fof(f57222,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(multiply(x,x),z,additive_inverse(y)),add(associator(z,x,multiply(x,additive_inverse(y))),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57219,f194]) ).
fof(f57224,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(multiply(x,x),z,additive_inverse(y)),add(associator(additive_inverse(x),z,multiply(x,additive_inverse(y))),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57222,f52092]) ).
fof(f57226,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(multiply(x,x),z,additive_inverse(y)),add(associator(additive_inverse(x),multiply(x,y),z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57224,f52890]) ).
fof(f57228,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(multiply(x,x),y,z),add(associator(additive_inverse(x),multiply(x,y),z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57226,f52618]) ).
fof(f57456,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = associator(X0,X2,X1),
inference(superposition,[],[f54851,f56674]) ).
fof(f57659,plain,
add(associator(multiply(x,x),y,z),add(associator(x,z,multiply(x,y)),multiply(x,multiply(y,multiply(z,x))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(backward_demodulation,[],[f57228,f57456]) ).
fof(f57689,plain,
add(associator(x,z,multiply(x,y)),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57659,f194]) ).
fof(f57719,plain,
add(associator(x,multiply(x,additive_inverse(y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57689,f53767]) ).
fof(f57729,plain,
add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
inference(forward_demodulation,[],[f57719,f52021]) ).
fof(f57730,plain,
$false,
inference(trivial_inequality_removal,[],[f57729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG029-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n001.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 27 23:06:46 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 89.12/14.24 % (4071571)Detected a unit-equality problem, will run specialized UEQ schedule.
% 89.12/14.24 % (4071582)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1546103937:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 89.12/14.24 % (4071579)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=502713307:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 89.12/14.24 % (4071577)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=289461913:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 89.12/14.24 % (4071578)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1764666818:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 89.12/14.24 % (4071580)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=878636459:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 89.12/14.24 % (4071576)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1435638487:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 89.12/14.24 % (4071581)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2122635457:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 89.12/14.24 % (4071579)Instruction limit reached!
% 89.12/14.24 % (4071579)------------------------------
% 89.12/14.24 % (4071579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071579)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071579)Termination reason: Instruction limit
% 89.12/14.24 % (4071579)Termination phase: Saturation
% 89.12/14.24 % (4071579)Time elapsed: 0.113 s
% 89.12/14.24 % (4071579)Peak memory usage: 88 MB
% 89.12/14.24 % (4071579)Instructions burned: 137 (million)
% 89.12/14.24 % (4071580)Instruction limit reached!
% 89.12/14.24 % (4071580)------------------------------
% 89.12/14.24 % (4071580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071580)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071580)Termination reason: Instruction limit
% 89.12/14.24 % (4071580)Termination phase: Saturation
% 89.12/14.24 % (4071580)Time elapsed: 0.165 s
% 89.12/14.24 % (4071580)Peak memory usage: 88 MB
% 89.12/14.24 % (4071580)Instructions burned: 181 (million)
% 89.12/14.24 % (4071581)Instruction limit reached!
% 89.12/14.24 % (4071581)------------------------------
% 89.12/14.24 % (4071581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071581)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071581)Termination reason: Instruction limit
% 89.12/14.24 % (4071581)Termination phase: Saturation
% 89.12/14.24 % (4071581)Time elapsed: 0.236 s
% 89.12/14.24 % (4071581)Peak memory usage: 90 MB
% 89.12/14.24 % (4071581)Instructions burned: 257 (million)
% 89.12/14.24 % (4071590)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2403797194:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 89.12/14.24 % (4071591)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3145283625:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 89.12/14.24 % (4071592)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3680428024:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 89.12/14.24 % (4071582)Instruction limit reached!
% 89.12/14.24 % (4071582)------------------------------
% 89.12/14.24 % (4071582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071582)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071582)Termination reason: Instruction limit
% 89.12/14.24 % (4071582)Termination phase: Saturation
% 89.12/14.24 % (4071582)Time elapsed: 0.524 s
% 89.12/14.24 % (4071582)Peak memory usage: 96 MB
% 89.12/14.24 % (4071582)Instructions burned: 1187 (million)
% 89.12/14.24 % (4071592)Instruction limit reached!
% 89.12/14.24 % (4071592)------------------------------
% 89.12/14.24 % (4071592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071592)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071592)Termination reason: Instruction limit
% 89.12/14.24 % (4071592)Termination phase: Saturation
% 89.12/14.24 % (4071592)Time elapsed: 0.121 s
% 89.12/14.24 % (4071592)Peak memory usage: 89 MB
% 89.12/14.24 % (4071592)Instructions burned: 215 (million)
% 89.12/14.24 % (4071596)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=394138254:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 89.12/14.24 % (4071597)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1011225466:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 89.12/14.24 % (4071596)Instruction limit reached!
% 89.12/14.24 % (4071596)------------------------------
% 89.12/14.24 % (4071596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071596)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071596)Termination reason: Instruction limit
% 89.12/14.24 % (4071596)Termination phase: Saturation
% 89.12/14.24 % (4071596)Time elapsed: 0.174 s
% 89.12/14.24 % (4071596)Peak memory usage: 94 MB
% 89.12/14.24 % (4071596)Instructions burned: 318 (million)
% 89.12/14.24 % (4071600)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2719812384:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 89.12/14.24 % (4071590)Instruction limit reached!
% 89.12/14.24 % (4071590)------------------------------
% 89.12/14.24 % (4071590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071590)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071590)Termination reason: Instruction limit
% 89.12/14.24 % (4071590)Termination phase: Saturation
% 89.12/14.24 % (4071590)Time elapsed: 2.111 s
% 89.12/14.24 % (4071590)Peak memory usage: 141 MB
% 89.12/14.24 % (4071590)Instructions burned: 2051 (million)
% 89.12/14.24 % (4071600)Instruction limit reached!
% 89.12/14.24 % (4071600)------------------------------
% 89.12/14.24 % (4071600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071600)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071600)Termination reason: Instruction limit
% 89.12/14.24 % (4071600)Termination phase: Saturation
% 89.12/14.24 % (4071600)Time elapsed: 1.508 s
% 89.12/14.24 % (4071600)Peak memory usage: 117 MB
% 89.12/14.24 % (4071600)Instructions burned: 2837 (million)
% 89.12/14.24 % (4071602)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1310795084:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 89.12/14.24 % (4071603)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1106188999:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2970 on theBenchmark for (2970ds/11832Mi)
% 89.12/14.24 % (4071591)Instruction limit reached!
% 89.12/14.24 % (4071591)------------------------------
% 89.12/14.24 % (4071591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071591)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071591)Termination reason: Instruction limit
% 89.12/14.24 % (4071591)Termination phase: Saturation
% 89.12/14.24 % (4071591)Time elapsed: 4.916 s
% 89.12/14.24 % (4071591)Peak memory usage: 166 MB
% 89.12/14.24 % (4071591)Instructions burned: 4948 (million)
% 89.12/14.24 % (4071608)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1554158762:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 89.12/14.24 % (4071608)Instruction limit reached!
% 89.12/14.24 % (4071608)------------------------------
% 89.12/14.24 % (4071608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071608)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071608)Termination reason: Instruction limit
% 89.12/14.24 % (4071608)Termination phase: Saturation
% 89.12/14.24 % (4071608)Time elapsed: 2.082 s
% 89.12/14.24 % (4071608)Peak memory usage: 135 MB
% 89.12/14.24 % (4071608)Instructions burned: 2279 (million)
% 89.12/14.24 % (4071610)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3666842015:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2919 on theBenchmark for (2919ds/6225Mi)
% 89.12/14.24 % (4071603)Instruction limit reached!
% 89.12/14.24 % (4071603)------------------------------
% 89.12/14.24 % (4071603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071603)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071603)Termination reason: Instruction limit
% 89.12/14.24 % (4071603)Termination phase: Saturation
% 89.12/14.24 % (4071603)Time elapsed: 6.388 s
% 89.12/14.24 % (4071603)Peak memory usage: 224 MB
% 89.12/14.24 % (4071603)Instructions burned: 11833 (million)
% 89.12/14.24 % (4071614)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3987468357:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2904 on theBenchmark for (2904ds/21755Mi)
% 89.12/14.24 % (4071597)Instruction limit reached!
% 89.12/14.24 % (4071597)------------------------------
% 89.12/14.24 % (4071597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.12/14.24 % (4071597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.12/14.24 % (4071597)CaDiCaL version: 2.1.3
% 89.12/14.24 % (4071597)Termination reason: Instruction limit
% 89.12/14.24 % (4071597)Termination phase: Saturation
% 89.12/14.24 % (4071597)Time elapsed: 11.278 s
% 89.12/14.24 % (4071597)Peak memory usage: 242 MB
% 89.12/14.24 % (4071597)Instructions burned: 12125 (million)
% 89.12/14.24 % (4071616)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2759153975:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2875 on theBenchmark for (2875ds/16427Mi)
% 89.12/14.24 % (4071610)First to succeed.
% 89.12/14.24 % (4071610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4071571"
% 89.12/14.24 % (4071610)Refutation found. Thanks to Tanya!
% 89.12/14.24 % SZS status Unsatisfiable for theBenchmark
% 89.12/14.24 % SZS output start Proof for theBenchmark
% See solution above
% 94.65/14.34 % (4071610)------------------------------
% 94.65/14.34 % (4071610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.65/14.34 % (4071610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.65/14.34 % (4071610)CaDiCaL version: 2.1.3
% 94.65/14.34 % (4071610)Termination reason: Refutation
% 94.65/14.34 % (4071610)Time elapsed: 4.645 s
% 94.65/14.34 % (4071610)Peak memory usage: 157 MB
% 94.65/14.34 % (4071610)Instructions burned: 5160 (million)
% 94.65/14.34 % (4071610)------------------------------
% 94.65/14.34 % (4071610)------------------------------
% 94.65/14.34 % (4071571)Success in time 13.23 s
% 94.65/14.34 % Vampire exiting
%------------------------------------------------------------------------------