%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG029-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 98.73s 15.97s
% Output : Refutation 105.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 21
% Syntax : Number of formulae : 287 ( 287 unt; 6 def)
% Number of atoms : 287 ( 286 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 35 ( 35 ~; 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 : 652 ( 652 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f3,axiom,
! [X0] : multiply(additive_identity,X0) = additive_identity,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f14,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f16,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',commutator) ).
fof(f20,negated_conjecture,
multiply(multiply(cx,cy),multiply(cz,cx)) != multiply(cx,multiply(multiply(cy,cz),cx)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_middle_law) ).
fof(f21,definition,
sF0 = multiply(cx,cy),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
multiply(cx,cy) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = multiply(cz,cx),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
multiply(cz,cx) = 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(cy,cz),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
multiply(cy,cz) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF4 = multiply(sF3,cx),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f30,plain,
multiply(sF3,cx) = sF4,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF5 = multiply(cx,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f32,plain,
multiply(cx,sF4) = 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(cz,cx)),
inference(forward_demodulation,[],[f26,f24]) ).
fof(f36,plain,
multiply(multiply(cy,cz),cx) = sF4,
inference(forward_demodulation,[],[f30,f28]) ).
fof(f37,plain,
sF2 != multiply(cx,sF4),
inference(backward_demodulation,[],[f33,f32]) ).
fof(f38,plain,
multiply(multiply(cx,cy),multiply(cz,cx)) = sF2,
inference(forward_demodulation,[],[f35,f22]) ).
fof(f40,plain,
multiply(cx,multiply(multiply(cy,cz),cx)) != sF2,
inference(forward_demodulation,[],[f37,f36]) ).
fof(f41,plain,
multiply(multiply(cx,cy),multiply(cz,cx)) != multiply(cx,multiply(multiply(cy,cz),cx)),
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(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(cx,multiply(multiply(cy,cz),cx)) != add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(backward_demodulation,[],[f41,f581]) ).
fof(f618,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != multiply(cx,add(associator(cy,cz,cx),multiply(cy,multiply(cz,cx)))),
inference(forward_demodulation,[],[f613,f581]) ).
fof(f629,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(f633,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(f638,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(f643,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(f644,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(f645,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(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(multiply(cx,associator(cy,cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(forward_demodulation,[],[f618,f12]) ).
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,[],[f629,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,[],[f633,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,[],[f638,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,[],[f643,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,[],[f644,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,[],[f645,f581]) ).
fof(f684,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(f688,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(f692,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(f695,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(f696,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(f706,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,[],[f684,f15]) ).
fof(f709,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,[],[f688,f12]) ).
fof(f722,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,[],[f706,f497]) ).
fof(f725,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,[],[f709,f15]) ).
fof(f925,plain,
! [X0,X1] : commutator(X0,X0) = multiply(X1,commutator(X0,X0)),
inference(superposition,[],[f6,f168]) ).
fof(f926,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = multiply(X1,add(X0,additive_inverse(X0))),
inference(superposition,[],[f6,f10]) ).
fof(f943,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
inference(forward_demodulation,[],[f926,f12]) ).
fof(f955,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,f943]) ).
fof(f1673,plain,
! [X2,X0,X1] : add(X1,additive_identity) = add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))),
inference(superposition,[],[f194,f171]) ).
fof(f1677,plain,
! [X0,X1] : add(X0,additive_identity) = add(X1,additive_inverse(add(additive_inverse(X0),X1))),
inference(superposition,[],[f173,f171]) ).
fof(f1680,plain,
! [X0,X1] : add(X1,additive_inverse(add(additive_inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1677,f2]) ).
fof(f1684,plain,
! [X2,X0,X1] : add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))) = X1,
inference(forward_demodulation,[],[f1673,f2]) ).
fof(f1723,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(backward_demodulation,[],[f692,f1684]) ).
fof(f1724,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(backward_demodulation,[],[f695,f1684]) ).
fof(f1725,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),associator(X0,X1,X3)),
inference(backward_demodulation,[],[f696,f1684]) ).
fof(f1748,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1680,f11]) ).
fof(f1822,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,[],[f725,f1748]) ).
fof(f1837,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1748,f14]) ).
fof(f1855,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),additive_inverse(add(X0,additive_inverse(X0)))),
inference(superposition,[],[f1748,f423]) ).
fof(f1856,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(multiply(X1,additive_inverse(X0)),additive_inverse(add(X0,additive_inverse(X0)))),
inference(superposition,[],[f1748,f943]) ).
fof(f1874,plain,
! [X0,X1] : add(X1,additive_inverse(X0)) = additive_inverse(add(X0,additive_inverse(X1))),
inference(superposition,[],[f173,f1748]) ).
fof(f1896,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(multiply(X1,additive_inverse(X0)),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f1856,f1874]) ).
fof(f1897,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f1855,f1874]) ).
fof(f1920,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(add(X0,additive_inverse(X0)),multiply(X1,additive_inverse(X0))),
inference(forward_demodulation,[],[f1896,f14]) ).
fof(f1921,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(add(X0,additive_inverse(X0)),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f1897,f14]) ).
fof(f1934,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = add(X0,add(additive_inverse(X0),multiply(X1,additive_inverse(X0)))),
inference(forward_demodulation,[],[f1920,f15]) ).
fof(f1935,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(X0,add(additive_inverse(X0),multiply(additive_inverse(X0),X1))),
inference(forward_demodulation,[],[f1921,f15]) ).
fof(f1936,plain,
! [X0,X1] : additive_inverse(multiply(X1,X0)) = multiply(X1,additive_inverse(X0)),
inference(forward_demodulation,[],[f1934,f173]) ).
fof(f1937,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f1935,f173]) ).
fof(f1939,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X0,multiply(X1,X1)),multiply(X0,additive_inverse(multiply(X1,X1)))),
inference(backward_demodulation,[],[f57,f1936]) ).
fof(f1944,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),multiply(X0,additive_inverse(multiply(X0,X1)))),
inference(backward_demodulation,[],[f45,f1936]) ).
fof(f1947,plain,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),multiply(X0,additive_inverse(X1))),
inference(backward_demodulation,[],[f19,f1936]) ).
fof(f1948,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,f1936]) ).
fof(f1950,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,f1936]) ).
fof(f1960,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f1937,f1936]) ).
fof(f1966,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,[],[f1950,f581]) ).
fof(f1969,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,X1),additive_inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1944,f943]) ).
fof(f1974,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X1,X1),additive_inverse(multiply(X1,X1))),
inference(forward_demodulation,[],[f1939,f943]) ).
fof(f1977,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,[],[f1966,f1960]) ).
fof(f1979,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(forward_demodulation,[],[f1969,f1936]) ).
fof(f1982,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X1,X1),multiply(X1,additive_inverse(X1))),
inference(forward_demodulation,[],[f1974,f1936]) ).
fof(f1983,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,[],[f1977,f943]) ).
fof(f1984,plain,
! [X0,X1] : associator(X0,X0,X1) = add(X1,additive_inverse(X1)),
inference(forward_demodulation,[],[f1979,f943]) ).
fof(f1986,plain,
! [X0,X1] : associator(X0,X1,X1) = add(X1,additive_inverse(X1)),
inference(forward_demodulation,[],[f1982,f943]) ).
fof(f1998,plain,
! [X0,X1] : commutator(X1,additive_inverse(X0)) = add(multiply(additive_inverse(X0),X1),multiply(X1,X0)),
inference(superposition,[],[f1947,f11]) ).
fof(f2067,plain,
! [X2,X0,X1] : add(X2,associator(X0,X0,X1)) = X2,
inference(superposition,[],[f497,f1984]) ).
fof(f2072,plain,
! [X2,X0,X1] : multiply(X2,associator(X0,X0,X1)) = add(multiply(X2,X1),multiply(X2,additive_inverse(X1))),
inference(superposition,[],[f12,f1984]) ).
fof(f2074,plain,
! [X2,X0,X1] : add(X1,add(additive_inverse(X1),X2)) = add(associator(X0,X0,X1),X2),
inference(superposition,[],[f15,f1984]) ).
fof(f2091,plain,
! [X2,X0,X1] : add(associator(X0,X0,X1),X2) = X2,
inference(forward_demodulation,[],[f2074,f173]) ).
fof(f2093,plain,
! [X2,X0,X1] : add(X1,additive_inverse(X1)) = multiply(X2,associator(X0,X0,X1)),
inference(forward_demodulation,[],[f2072,f943]) ).
fof(f2193,plain,
! [X2,X0,X1] : add(X1,add(additive_inverse(X1),X2)) = add(associator(X0,X1,X1),X2),
inference(superposition,[],[f15,f1986]) ).
fof(f2212,plain,
! [X2,X0,X1] : add(associator(X0,X1,X1),X2) = X2,
inference(forward_demodulation,[],[f2193,f173]) ).
fof(f2323,plain,
! [X2,X3,X0,X1] : add(X2,add(additive_inverse(X2),X3)) = add(multiply(X0,associator(X1,X1,X2)),X3),
inference(superposition,[],[f15,f2093]) ).
fof(f2360,plain,
! [X2,X3,X0,X1] : add(multiply(X0,associator(X1,X1,X2)),X3) = X3,
inference(forward_demodulation,[],[f2323,f173]) ).
fof(f2386,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,[],[f1822,f2360]) ).
fof(f2441,plain,
! [X2,X0,X1] : associator(X1,add(X2,X1),X0) = add(associator(X1,X2,X0),add(X0,additive_inverse(X0))),
inference(superposition,[],[f1724,f1984]) ).
fof(f2442,plain,
! [X2,X0,X1] : add(associator(X1,X2,X0),add(X0,additive_inverse(X0))) = associator(X1,add(X2,X0),X0),
inference(superposition,[],[f1724,f1986]) ).
fof(f2447,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X0,X1),X2),
inference(superposition,[],[f2091,f1724]) ).
fof(f2467,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,add(X2,X0),X0),
inference(forward_demodulation,[],[f2442,f497]) ).
fof(f2468,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,add(X2,X1),X0),
inference(forward_demodulation,[],[f2441,f497]) ).
fof(f2547,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X1,X2)),
inference(superposition,[],[f2212,f1725]) ).
fof(f2693,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X0,X1),X0,X2),
inference(superposition,[],[f2091,f1723]) ).
fof(f2696,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,X1),X1,X2),
inference(superposition,[],[f2067,f1723]) ).
fof(f2734,plain,
! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)),
inference(superposition,[],[f1960,f11]) ).
fof(f2886,plain,
! [X2,X0,X1] : add(X2,additive_inverse(X0)) = add(X1,add(X2,additive_inverse(add(X1,X0)))),
inference(superposition,[],[f194,f1837]) ).
fof(f3849,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,f1948]) ).
fof(f3854,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(associator(X0,additive_inverse(X1),X1),multiply(X0,commutator(X1,X1))),
inference(backward_demodulation,[],[f1983,f3849]) ).
fof(f3899,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(associator(X0,additive_inverse(X1),X1),commutator(X1,X1)),
inference(forward_demodulation,[],[f3854,f925]) ).
fof(f3938,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = add(commutator(X1,X1),associator(X0,additive_inverse(X1),X1)),
inference(forward_demodulation,[],[f3899,f14]) ).
fof(f3969,plain,
! [X0,X1] : add(X1,additive_inverse(X1)) = associator(X0,additive_inverse(X1),X1),
inference(forward_demodulation,[],[f3938,f381]) ).
fof(f4024,plain,
! [X0,X1] : add(additive_inverse(X0),X0) = associator(X1,X0,additive_inverse(X0)),
inference(superposition,[],[f3969,f11]) ).
fof(f4085,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(X1,X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4024,f14]) ).
fof(f4455,plain,
! [X2,X0,X1] : add(associator(X1,X0,X2),add(X0,additive_inverse(X0))) = associator(X1,X0,add(X2,additive_inverse(X0))),
inference(superposition,[],[f1725,f4085]) ).
fof(f4463,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(X1,X0,add(X2,additive_inverse(X0))),
inference(forward_demodulation,[],[f4455,f497]) ).
fof(f8172,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,[],[f1748,f722]) ).
fof(f8173,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,[],[f1837,f722]) ).
fof(f8174,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,[],[f8173,f1936]) ).
fof(f8256,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,[],[f8174,f1960]) ).
fof(f12108,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,f1998]) ).
fof(f12208,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,[],[f12108,f13]) ).
fof(f12245,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,[],[f12208,f14]) ).
fof(f12273,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,[],[f12245,f581]) ).
fof(f12291,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,[],[f12273,f14]) ).
fof(f12304,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,[],[f12291,f15]) ).
fof(f12312,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,[],[f12304,f2091]) ).
fof(f12315,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,[],[f12312,f581]) ).
fof(f12317,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,[],[f12315,f14]) ).
fof(f12318,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,[],[f12317,f15]) ).
fof(f12319,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,[],[f12318,f955]) ).
fof(f12320,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,[],[f12319,f497]) ).
fof(f12321,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,[],[f12320,f14]) ).
fof(f12322,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(additive_inverse(X0),X0,X1),
inference(forward_demodulation,[],[f12321,f943]) ).
fof(f12349,plain,
! [X0,X1] : add(additive_inverse(X0),X0) = associator(X0,additive_inverse(X0),X1),
inference(superposition,[],[f12322,f11]) ).
fof(f12400,plain,
! [X2,X0,X1] : add(associator(X1,X0,X2),add(X0,additive_inverse(X0))) = associator(add(X1,additive_inverse(X0)),X0,X2),
inference(superposition,[],[f1723,f12322]) ).
fof(f12415,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X1,additive_inverse(X0)),X0,X2),
inference(forward_demodulation,[],[f12400,f497]) ).
fof(f12441,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = associator(X0,additive_inverse(X0),X1),
inference(forward_demodulation,[],[f12349,f14]) ).
fof(f12637,plain,
! [X2,X0,X1] : associator(X0,add(X1,additive_inverse(X0)),X2) = add(associator(X0,X1,X2),add(X0,additive_inverse(X0))),
inference(superposition,[],[f1724,f12441]) ).
fof(f12665,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X1,additive_inverse(X0)),X2),
inference(forward_demodulation,[],[f12637,f497]) ).
fof(f16288,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,[],[f1748,f671]) ).
fof(f16290,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,[],[f16288,f15]) ).
fof(f16556,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,[],[f16290,f2886]) ).
fof(f16783,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,[],[f16556,f15]) ).
fof(f17000,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,[],[f16783,f2886]) ).
fof(f17189,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,[],[f17000,f15]) ).
fof(f17356,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,[],[f17189,f2886]) ).
fof(f17512,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,[],[f17356,f15]) ).
fof(f17662,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f17512,f497]) ).
fof(f17819,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,[],[f2386,f17662]) ).
fof(f17829,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,[],[f8172,f17662]) ).
fof(f17839,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,[],[f8256,f17662]) ).
fof(f17994,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,[],[f17829,f17662]) ).
fof(f18133,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,[],[f17994,f14]) ).
fof(f24766,plain,
! [X2,X3,X0,X1] : add(associator(X0,X2,X1),add(X3,associator(X0,X1,X2))) = X3,
inference(superposition,[],[f192,f17662]) ).
fof(f24790,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X0,X2,X1)) = multiply(additive_inverse(X3),associator(X0,X1,X2)),
inference(superposition,[],[f2734,f17662]) ).
fof(f24849,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,[],[f17839,f24790]) ).
fof(f24941,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,[],[f18133,f24849]) ).
fof(f24972,plain,
! [X2,X0,X1] : associator(X0,multiply(X0,X2),X1) = associator(X0,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f24941,f24766]) ).
fof(f40857,plain,
! [X2,X0,X1] : add(X0,additive_inverse(multiply(X1,X2))) = add(multiply(additive_inverse(X1),X2),X0),
inference(superposition,[],[f564,f462]) ).
fof(f40874,plain,
! [X2,X0,X1] : add(X0,multiply(X1,additive_inverse(X2))) = add(multiply(additive_inverse(X1),X2),X0),
inference(forward_demodulation,[],[f40857,f1936]) ).
fof(f51628,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(add(X0,additive_inverse(X1)),X0,X2),
inference(superposition,[],[f2468,f192]) ).
fof(f51663,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,[],[f2468,f40874]) ).
fof(f51943,plain,
! [X2,X3,X0,X1] : associator(X0,multiply(X1,additive_inverse(X2)),X3) = associator(X0,multiply(additive_inverse(X1),X2),X3),
inference(forward_demodulation,[],[f51663,f2447]) ).
fof(f51971,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f51628,f2693]) ).
fof(f52014,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f51971,f12415]) ).
fof(f52180,plain,
! [X2,X0,X1] : associator(X1,X2,add(X0,additive_inverse(X2))) = associator(X1,X0,add(X0,additive_inverse(X2))),
inference(superposition,[],[f2467,f192]) ).
fof(f52511,plain,
! [X2,X0,X1] : associator(X1,X0,additive_inverse(X2)) = associator(X1,X2,add(X0,additive_inverse(X2))),
inference(forward_demodulation,[],[f52180,f2547]) ).
fof(f52540,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X1,X0,additive_inverse(X2)),
inference(forward_demodulation,[],[f52511,f4463]) ).
fof(f52812,plain,
! [X2,X3,X0,X1] : associator(X2,multiply(X0,X1),X3) = associator(X2,X3,multiply(X0,additive_inverse(X1))),
inference(superposition,[],[f52540,f1936]) ).
fof(f52813,plain,
! [X2,X0,X1] : associator(X1,additive_inverse(X0),X2) = associator(X1,X2,X0),
inference(superposition,[],[f52540,f11]) ).
fof(f53476,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(multiply(cx,associator(cy,additive_inverse(cx),cz)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(backward_demodulation,[],[f648,f52813]) ).
fof(f53564,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(multiply(cx,associator(additive_inverse(additive_inverse(cx)),cy,cz)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(forward_demodulation,[],[f53476,f52014]) ).
fof(f53619,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(multiply(cx,associator(cx,cy,cz)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(forward_demodulation,[],[f53564,f11]) ).
fof(f53642,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(add(associator(cx,multiply(cx,cz),cy),associator(multiply(cx,cx),cy,cz)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(forward_demodulation,[],[f53619,f24849]) ).
fof(f53659,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(cx,multiply(cx,cz),cy),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53642,f15]) ).
fof(f53665,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(multiply(cx,cx),cy,cz),add(associator(cx,multiply(cx,cz),cy),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53659,f194]) ).
fof(f53670,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(multiply(cx,cx),cy,cz),add(associator(cx,cz,multiply(cx,cy)),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53665,f24972]) ).
fof(f53675,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(cx,cz,multiply(cx,cy)),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53670,f194]) ).
fof(f53680,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(cx,additive_inverse(multiply(cx,cy)),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53675,f52813]) ).
fof(f53683,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(cx,multiply(cx,additive_inverse(cy)),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53680,f1936]) ).
fof(f53686,plain,
add(associator(cx,cy,multiply(cz,cx)),multiply(cx,multiply(cy,multiply(cz,cx)))) != add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f53683,f51943]) ).
fof(f53692,plain,
! [X2,X3,X0,X1] : associator(X2,X3,multiply(X0,X1)) = associator(X2,multiply(X0,additive_inverse(X1)),X3),
inference(superposition,[],[f52813,f1936]) ).
fof(f54054,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,[],[f17819,f52813]) ).
fof(f54437,plain,
! [X2,X0,X1] : associator(X1,add(X0,additive_inverse(X1)),X2) = associator(X0,add(X0,additive_inverse(X1)),X2),
inference(superposition,[],[f2696,f192]) ).
fof(f54739,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = associator(X1,add(X0,additive_inverse(X1)),X2),
inference(forward_demodulation,[],[f54437,f2447]) ).
fof(f54776,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(X0,additive_inverse(X1),X2),
inference(forward_demodulation,[],[f54739,f12665]) ).
fof(f56355,plain,
! [X2,X3,X0,X1] : associator(multiply(X0,X1),X2,X3) = associator(X2,multiply(X0,additive_inverse(X1)),X3),
inference(superposition,[],[f54776,f1936]) ).
fof(f56599,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X1,X2,X0),
inference(superposition,[],[f52813,f54776]) ).
fof(f56722,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,[],[f54054,f56599]) ).
fof(f57046,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(add(associator(cz,additive_inverse(cy),multiply(cx,cx)),associator(cz,multiply(cx,cy),cx)),multiply(cx,multiply(cy,multiply(cz,cx)))),
inference(backward_demodulation,[],[f53686,f56722]) ).
fof(f57108,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,additive_inverse(cy),multiply(cx,cx)),add(associator(cz,multiply(cx,cy),cx),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57046,f15]) ).
fof(f57127,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,multiply(cx,cy),cx),add(associator(cz,additive_inverse(cy),multiply(cx,cx)),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57108,f194]) ).
fof(f57132,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,multiply(cx,cy),cx),add(associator(cz,multiply(cx,additive_inverse(cx)),additive_inverse(cy)),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57127,f53692]) ).
fof(f57135,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,multiply(cx,additive_inverse(cx)),additive_inverse(cy)),add(associator(cz,multiply(cx,cy),cx),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57132,f194]) ).
fof(f57138,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,multiply(cx,additive_inverse(cx)),additive_inverse(cy)),add(associator(cz,cx,multiply(cx,additive_inverse(cy))),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57135,f52812]) ).
fof(f57141,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,cx,multiply(cx,additive_inverse(cy))),add(associator(cz,multiply(cx,additive_inverse(cx)),additive_inverse(cy)),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57138,f194]) ).
fof(f57144,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cz,cx,multiply(cx,additive_inverse(cy))),add(associator(multiply(cx,cx),cz,additive_inverse(cy)),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57141,f56355]) ).
fof(f57147,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(multiply(cx,cx),cz,additive_inverse(cy)),add(associator(cz,cx,multiply(cx,additive_inverse(cy))),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57144,f194]) ).
fof(f57149,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(multiply(cx,cx),cz,additive_inverse(cy)),add(associator(additive_inverse(cx),cz,multiply(cx,additive_inverse(cy))),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57147,f52014]) ).
fof(f57151,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(multiply(cx,cx),cz,additive_inverse(cy)),add(associator(additive_inverse(cx),multiply(cx,cy),cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57149,f52812]) ).
fof(f57153,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(multiply(cx,cx),cy,cz),add(associator(additive_inverse(cx),multiply(cx,cy),cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57151,f52540]) ).
fof(f57381,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = associator(X0,X2,X1),
inference(superposition,[],[f54776,f56599]) ).
fof(f57584,plain,
add(associator(multiply(cx,cx),cy,cz),add(associator(cx,cz,multiply(cx,cy)),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(backward_demodulation,[],[f57153,f57381]) ).
fof(f57614,plain,
add(associator(cx,cz,multiply(cx,cy)),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57584,f194]) ).
fof(f57644,plain,
add(associator(cx,multiply(cx,additive_inverse(cy)),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57614,f53692]) ).
fof(f57654,plain,
add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))) != add(associator(cx,multiply(additive_inverse(cx),cy),cz),add(associator(multiply(cx,cx),cy,cz),multiply(cx,multiply(cy,multiply(cz,cx))))),
inference(forward_demodulation,[],[f57644,f51943]) ).
fof(f57655,plain,
$false,
inference(trivial_inequality_removal,[],[f57654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG029-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 23:02:41 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.73/15.97 % (1028175)Detected a unit-equality problem, will run specialized UEQ schedule.
% 98.73/15.97 % (1028182)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3961204958:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 98.73/15.97 % (1028186)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1744616313:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 98.73/15.97 % (1028183)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4154042612:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 98.73/15.97 % (1028181)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=3264896467:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 98.73/15.97 % (1028184)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1788509067:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 98.73/15.97 % (1028180)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=2178691780:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 98.73/15.97 % (1028185)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3829705370:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 98.73/15.97 % (1028183)Instruction limit reached!
% 98.73/15.97 % (1028183)------------------------------
% 98.73/15.97 % (1028183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028183)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028183)Termination reason: Instruction limit
% 98.73/15.97 % (1028183)Termination phase: Saturation
% 98.73/15.97 % (1028183)Time elapsed: 0.078 s
% 98.73/15.97 % (1028183)Peak memory usage: 88 MB
% 98.73/15.97 % (1028183)Instructions burned: 137 (million)
% 98.73/15.97 % (1028184)Instruction limit reached!
% 98.73/15.97 % (1028184)------------------------------
% 98.73/15.97 % (1028184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028184)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028184)Termination reason: Instruction limit
% 98.73/15.97 % (1028184)Termination phase: Saturation
% 98.73/15.97 % (1028184)Time elapsed: 0.166 s
% 98.73/15.97 % (1028184)Peak memory usage: 89 MB
% 98.73/15.97 % (1028184)Instructions burned: 181 (million)
% 98.73/15.97 % (1028185)Instruction limit reached!
% 98.73/15.97 % (1028185)------------------------------
% 98.73/15.97 % (1028185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028185)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028185)Termination reason: Instruction limit
% 98.73/15.97 % (1028185)Termination phase: Saturation
% 98.73/15.97 % (1028185)Time elapsed: 0.233 s
% 98.73/15.97 % (1028185)Peak memory usage: 90 MB
% 98.73/15.97 % (1028185)Instructions burned: 257 (million)
% 98.73/15.97 % (1028194)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3745610235:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 98.73/15.97 % (1028195)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1422684461:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 98.73/15.97 % (1028196)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=165056555:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 98.73/15.97 % (1028196)Instruction limit reached!
% 98.73/15.97 % (1028196)------------------------------
% 98.73/15.97 % (1028196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028196)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028196)Termination reason: Instruction limit
% 98.73/15.97 % (1028196)Termination phase: Saturation
% 98.73/15.97 % (1028196)Time elapsed: 0.185 s
% 98.73/15.97 % (1028196)Peak memory usage: 89 MB
% 98.73/15.97 % (1028196)Instructions burned: 215 (million)
% 98.73/15.97 % (1028200)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=399926733:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 98.73/15.97 % (1028186)Instruction limit reached!
% 98.73/15.97 % (1028186)------------------------------
% 98.73/15.97 % (1028186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028186)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028186)Termination reason: Instruction limit
% 98.73/15.97 % (1028186)Termination phase: Saturation
% 98.73/15.97 % (1028186)Time elapsed: 1.024 s
% 98.73/15.97 % (1028186)Peak memory usage: 96 MB
% 98.73/15.97 % (1028186)Instructions burned: 1187 (million)
% 98.73/15.97 % (1028202)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=902938061:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 98.73/15.97 % (1028200)Instruction limit reached!
% 98.73/15.97 % (1028200)------------------------------
% 98.73/15.97 % (1028200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028200)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028200)Termination reason: Instruction limit
% 98.73/15.97 % (1028200)Termination phase: Saturation
% 98.73/15.97 % (1028200)Time elapsed: 0.336 s
% 98.73/15.97 % (1028200)Peak memory usage: 94 MB
% 98.73/15.97 % (1028200)Instructions burned: 317 (million)
% 98.73/15.97 % (1028204)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1071935719:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 98.73/15.97 % (1028194)Instruction limit reached!
% 98.73/15.97 % (1028194)------------------------------
% 98.73/15.97 % (1028194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028194)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028194)Termination reason: Instruction limit
% 98.73/15.97 % (1028194)Termination phase: Saturation
% 98.73/15.97 % (1028194)Time elapsed: 2.150 s
% 98.73/15.97 % (1028194)Peak memory usage: 141 MB
% 98.73/15.97 % (1028194)Instructions burned: 2051 (million)
% 98.73/15.97 % (1028209)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2154183978:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 98.73/15.97 % (1028204)Instruction limit reached!
% 98.73/15.97 % (1028204)------------------------------
% 98.73/15.97 % (1028204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028204)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028204)Termination reason: Instruction limit
% 98.73/15.97 % (1028204)Termination phase: Saturation
% 98.73/15.97 % (1028204)Time elapsed: 2.911 s
% 98.73/15.97 % (1028204)Peak memory usage: 117 MB
% 98.73/15.97 % (1028204)Instructions burned: 2836 (million)
% 98.73/15.97 % (1028213)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=3478638381:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2952 on theBenchmark for (2952ds/11832Mi)
% 98.73/15.97 % (1028195)Instruction limit reached!
% 98.73/15.97 % (1028195)------------------------------
% 98.73/15.97 % (1028195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028195)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028195)Termination reason: Instruction limit
% 98.73/15.97 % (1028195)Termination phase: Saturation
% 98.73/15.97 % (1028195)Time elapsed: 5.021 s
% 98.73/15.97 % (1028195)Peak memory usage: 166 MB
% 98.73/15.97 % (1028195)Instructions burned: 4948 (million)
% 98.73/15.97 % (1028218)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=3658748458:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 98.73/15.97 % (1028218)Instruction limit reached!
% 98.73/15.97 % (1028218)------------------------------
% 98.73/15.97 % (1028218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028218)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028218)Termination reason: Instruction limit
% 98.73/15.97 % (1028218)Termination phase: Saturation
% 98.73/15.97 % (1028218)Time elapsed: 2.886 s
% 98.73/15.97 % (1028218)Peak memory usage: 135 MB
% 98.73/15.97 % (1028218)Instructions burned: 2280 (million)
% 98.73/15.97 % (1028222)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=3447015150:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2911 on theBenchmark for (2911ds/6225Mi)
% 98.73/15.97 % (1028202)Instruction limit reached!
% 98.73/15.97 % (1028202)------------------------------
% 98.73/15.97 % (1028202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.73/15.97 % (1028202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.73/15.97 % (1028202)CaDiCaL version: 2.1.3
% 98.73/15.97 % (1028202)Termination reason: Instruction limit
% 98.73/15.97 % (1028202)Termination phase: Saturation
% 98.73/15.97 % (1028202)Time elapsed: 12.297 s
% 98.73/15.97 % (1028202)Peak memory usage: 242 MB
% 98.73/15.97 % (1028202)Instructions burned: 12125 (million)
% 98.73/15.97 % (1028230)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=22989017:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2862 on theBenchmark for (2862ds/21755Mi)
% 98.73/15.97 % (1028222)First to succeed.
% 98.73/15.97 % (1028222)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1028175"
% 98.73/15.97 % (1028222)Refutation found. Thanks to Tanya!
% 98.73/15.97 % SZS status Unsatisfiable for theBenchmark
% 98.73/15.97 % SZS output start Proof for theBenchmark
% See solution above
% 105.42/16.22 % (1028222)------------------------------
% 105.42/16.22 % (1028222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.42/16.22 % (1028222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.42/16.22 % (1028222)CaDiCaL version: 2.1.3
% 105.42/16.22 % (1028222)Termination reason: Refutation
% 105.42/16.22 % (1028222)Time elapsed: 5.238 s
% 105.42/16.22 % (1028222)Peak memory usage: 157 MB
% 105.42/16.22 % (1028222)Instructions burned: 5159 (million)
% 105.42/16.22 % (1028222)------------------------------
% 105.42/16.22 % (1028222)------------------------------
% 105.42/16.22 % (1028175)Success in time 14.862 s
% 105.42/16.22 % Vampire exiting
%------------------------------------------------------------------------------