%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG025-4 : 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 : n019.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 12:35:09 PM UTC 2026
% Result : Unsatisfiable 23.92s 7.30s
% Output : Refutation 46.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 17
% Syntax : Number of formulae : 155 ( 155 unt; 3 def)
% Number of atoms : 155 ( 154 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 395 ( 395 !; 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,axiom,
! [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(f20,negated_conjecture,
add(associator(x,y,z),associator(x,z,y)) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f21,plain,
additive_identity != add(associator(x,y,z),associator(x,z,y)),
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF0 = associator(x,y,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
associator(x,y,z) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = associator(x,z,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
associator(x,z,y) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = add(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
add(sF0,sF1) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
additive_identity != sF2,
inference(definition_folding,[],[f21,f27,f25,f23]) ).
fof(f30,plain,
sF2 = add(sF0,associator(x,z,y)),
inference(forward_demodulation,[],[f27,f25]) ).
fof(f31,plain,
sF2 = add(associator(x,z,y),sF0),
inference(forward_demodulation,[],[f30,f14]) ).
fof(f32,plain,
sF2 = add(associator(x,z,y),associator(x,y,z)),
inference(forward_demodulation,[],[f31,f23]) ).
fof(f33,plain,
add(associator(x,y,z),associator(x,z,y)) = sF2,
inference(forward_demodulation,[],[f32,f14]) ).
fof(f34,plain,
additive_identity != add(associator(x,y,z),associator(x,z,y)),
inference(backward_demodulation,[],[f28,f33]) ).
fof(f35,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(X1,additive_inverse(X1)),
inference(superposition,[],[f10,f10]) ).
fof(f48,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(f49,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(f50,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,[],[f49,f15]) ).
fof(f51,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,[],[f48,f13]) ).
fof(f58,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,[],[f50,f12]) ).
fof(f59,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,[],[f51,f12]) ).
fof(f63,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,[],[f58,f12]) ).
fof(f64,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,[],[f59,f13]) ).
fof(f66,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,[],[f64,f15]) ).
fof(f71,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[],[f15,f10]) ).
fof(f79,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f10,f15]) ).
fof(f82,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f71,f1]) ).
fof(f89,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f82,f14]) ).
fof(f105,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(multiply(multiply(X2,multiply(X0,X0)),X1),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1))))),
inference(superposition,[],[f18,f17]) ).
fof(f143,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(f223,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(f224,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,[],[f223,f13]) ).
fof(f239,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,[],[f224,f13]) ).
fof(f249,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,[],[f239,f15]) ).
fof(f280,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X0))) = X1,
inference(superposition,[],[f2,f10]) ).
fof(f370,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f89,f18]) ).
fof(f386,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f370,f14]) ).
fof(f389,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,[],[f63,f386]) ).
fof(f390,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,[],[f66,f386]) ).
fof(f396,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,[],[f249,f386]) ).
fof(f398,plain,
! [X0,X1] : multiply(X0,multiply(X1,X1)) = add(associator(X0,X1,X1),multiply(X0,multiply(X1,X1))),
inference(backward_demodulation,[],[f16,f386]) ).
fof(f400,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,[],[f143,f386]) ).
fof(f402,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = add(associator(X0,X0,X1),multiply(X0,multiply(X0,X1))),
inference(backward_demodulation,[],[f17,f386]) ).
fof(f403,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(add(associator(X2,multiply(X0,X0),X1),multiply(X2,multiply(multiply(X0,X0),X1))),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1))))),
inference(backward_demodulation,[],[f105,f386]) ).
fof(f412,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(associator(X2,multiply(X0,X0),X1),add(multiply(X2,multiply(multiply(X0,X0),X1)),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1)))))),
inference(forward_demodulation,[],[f403,f15]) ).
fof(f414,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,[],[f400,f386]) ).
fof(f417,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,[],[f396,f15]) ).
fof(f423,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,[],[f390,f15]) ).
fof(f424,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,[],[f389,f15]) ).
fof(f431,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(associator(X2,multiply(X0,X0),X1),add(multiply(X2,add(associator(X0,X0,X1),multiply(X0,multiply(X0,X1)))),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1)))))),
inference(forward_demodulation,[],[f412,f386]) ).
fof(f433,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,[],[f414,f15]) ).
fof(f436,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,[],[f417,f386]) ).
fof(f440,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,[],[f423,f386]) ).
fof(f441,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,[],[f424,f386]) ).
fof(f446,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(associator(X2,multiply(X0,X0),X1),add(add(multiply(X2,associator(X0,X0,X1)),multiply(X2,multiply(X0,multiply(X0,X1)))),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1)))))),
inference(forward_demodulation,[],[f431,f12]) ).
fof(f448,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,[],[f433,f386]) ).
fof(f451,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,[],[f436,f15]) ).
fof(f453,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,[],[f440,f15]) ).
fof(f454,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,[],[f441,f15]) ).
fof(f458,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(associator(X2,multiply(X0,X0),X1),add(multiply(X2,associator(X0,X0,X1)),add(multiply(X2,multiply(X0,multiply(X0,X1))),additive_inverse(multiply(X2,multiply(X0,multiply(X0,X1))))))),
inference(forward_demodulation,[],[f446,f15]) ).
fof(f459,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,[],[f448,f12]) ).
fof(f464,plain,
! [X2,X0,X1] : associator(X2,multiply(X0,X0),X1) = add(associator(X2,multiply(X0,X0),X1),multiply(X2,associator(X0,X0,X1))),
inference(forward_demodulation,[],[f458,f280]) ).
fof(f465,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,[],[f459,f15]) ).
fof(f624,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = multiply(add(X0,additive_inverse(X0)),X1),
inference(superposition,[],[f4,f10]) ).
fof(f645,plain,
! [X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f624,f13]) ).
fof(f670,plain,
! [X2,X0,X1] : multiply(add(X0,additive_inverse(X0)),X2) = add(multiply(multiply(X0,X1),X2),multiply(multiply(additive_inverse(X0),X1),X2)),
inference(superposition,[],[f13,f645]) ).
fof(f675,plain,
! [X2,X0,X1] : multiply(add(X0,additive_inverse(X0)),X2) = add(multiply(multiply(X0,X1),X2),add(associator(additive_inverse(X0),X1,X2),multiply(additive_inverse(X0),multiply(X1,X2)))),
inference(forward_demodulation,[],[f670,f386]) ).
fof(f685,plain,
! [X2,X0,X1] : multiply(add(X0,additive_inverse(X0)),X2) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(associator(additive_inverse(X0),X1,X2),multiply(additive_inverse(X0),multiply(X1,X2)))),
inference(forward_demodulation,[],[f675,f386]) ).
fof(f693,plain,
! [X2,X0,X1] : multiply(add(X0,additive_inverse(X0)),X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(additive_inverse(X0),X1,X2),multiply(additive_inverse(X0),multiply(X1,X2))))),
inference(forward_demodulation,[],[f685,f15]) ).
fof(f695,plain,
! [X2,X0,X1] : add(multiply(X0,X2),multiply(additive_inverse(X0),X2)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(additive_inverse(X0),X1,X2),multiply(additive_inverse(X0),multiply(X1,X2))))),
inference(forward_demodulation,[],[f693,f13]) ).
fof(f696,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(additive_inverse(X0),X1,X2),multiply(additive_inverse(X0),multiply(X1,X2))))),
inference(forward_demodulation,[],[f695,f645]) ).
fof(f931,plain,
! [X2,X3,X0,X1] : add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),X3)) = add(associator(X0,multiply(X1,X1),X2),X3),
inference(superposition,[],[f15,f464]) ).
fof(f936,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(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(backward_demodulation,[],[f465,f931]) ).
fof(f984,plain,
! [X0,X1] : additive_identity = add(associator(X0,X1,X1),add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X0,multiply(X1,X1))))),
inference(superposition,[],[f79,f398]) ).
fof(f985,plain,
! [X0,X1] : additive_identity = add(associator(X0,X0,X1),add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1))))),
inference(superposition,[],[f79,f402]) ).
fof(f1008,plain,
! [X0,X1] : add(X0,additive_identity) = add(X1,additive_inverse(add(additive_inverse(X0),X1))),
inference(superposition,[],[f82,f79]) ).
fof(f1009,plain,
! [X0,X1] : add(X1,additive_inverse(add(additive_inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1008,f2]) ).
fof(f1026,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f985,f280]) ).
fof(f1027,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(forward_demodulation,[],[f984,f280]) ).
fof(f1154,plain,
! [X2,X3,X0,X1] : associator(X0,X0,X1) = associator(X2,X3,X3),
inference(superposition,[],[f1027,f1026]) ).
fof(f1188,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1009,f11]) ).
fof(f1248,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),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f451,f1188]) ).
fof(f1249,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),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f453,f1188]) ).
fof(f1250,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),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f454,f1188]) ).
fof(f1251,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,[],[f936,f1188]) ).
fof(f1259,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),associator(X0,X1,X3)),
inference(forward_demodulation,[],[f1250,f89]) ).
fof(f1260,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f1249,f89]) ).
fof(f1261,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(forward_demodulation,[],[f1248,f89]) ).
fof(f1265,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(superposition,[],[f1188,f14]) ).
fof(f1281,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),additive_inverse(add(X0,additive_inverse(X0)))),
inference(superposition,[],[f1188,f645]) ).
fof(f1293,plain,
! [X0,X1] : add(X1,additive_inverse(X0)) = additive_inverse(add(X0,additive_inverse(X1))),
inference(superposition,[],[f82,f1188]) ).
fof(f1309,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f1281,f1293]) ).
fof(f1326,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(add(X0,additive_inverse(X0)),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f1309,f14]) ).
fof(f1334,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(X0,add(additive_inverse(X0),multiply(additive_inverse(X0),X1))),
inference(forward_demodulation,[],[f1326,f15]) ).
fof(f1336,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f1334,f82]) ).
fof(f1357,plain,
! [X2,X0,X1] : associator(add(X0,X1),X1,X2) = add(associator(X0,X1,X2),additive_identity),
inference(superposition,[],[f1261,f1026]) ).
fof(f1373,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,X1),X1,X2),
inference(forward_demodulation,[],[f1357,f2]) ).
fof(f1381,plain,
! [X2,X0,X1] : associator(X0,add(X0,X1),X2) = add(additive_identity,associator(X0,X1,X2)),
inference(superposition,[],[f1260,f1026]) ).
fof(f1404,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X0,X1),X2),
inference(forward_demodulation,[],[f1381,f1]) ).
fof(f1657,plain,
! [X2,X0,X1] : associator(X1,add(X0,additive_inverse(X1)),X2) = associator(X0,add(X0,additive_inverse(X1)),X2),
inference(superposition,[],[f1373,f89]) ).
fof(f1662,plain,
! [X2,X0,X1] : associator(X1,additive_inverse(X1),X2) = associator(add(X0,additive_inverse(X0)),additive_inverse(X1),X2),
inference(superposition,[],[f1373,f35]) ).
fof(f1693,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = associator(X1,add(X0,additive_inverse(X1)),X2),
inference(forward_demodulation,[],[f1657,f1404]) ).
fof(f1927,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(X2,multiply(additive_inverse(X0),X1))) = X2,
inference(superposition,[],[f89,f1336]) ).
fof(f1946,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = add(associator(X0,X1,X2),associator(additive_inverse(X0),X1,X2)),
inference(backward_demodulation,[],[f696,f1927]) ).
fof(f1961,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = associator(add(X0,additive_inverse(X0)),X1,X2),
inference(forward_demodulation,[],[f1946,f1261]) ).
fof(f1969,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = associator(X1,additive_inverse(X1),X2),
inference(backward_demodulation,[],[f1662,f1961]) ).
fof(f2436,plain,
! [X2,X0,X1] : additive_inverse(additive_inverse(X2)) = add(X2,additive_inverse(associator(X0,additive_inverse(X0),X1))),
inference(superposition,[],[f1265,f1969]) ).
fof(f2453,plain,
! [X2,X3,X0,X1] : associator(X1,add(X2,additive_inverse(X1)),X3) = add(associator(X1,X2,X3),add(X0,additive_inverse(X0))),
inference(superposition,[],[f1260,f1969]) ).
fof(f2458,plain,
! [X2,X3,X1] : associator(X1,X2,X3) = associator(X1,add(X2,additive_inverse(X1)),X3),
inference(forward_demodulation,[],[f2453,f280]) ).
fof(f2468,plain,
! [X2,X0,X1] : add(X2,additive_inverse(associator(X0,additive_inverse(X0),X1))) = X2,
inference(forward_demodulation,[],[f2436,f11]) ).
fof(f2483,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(X0,additive_inverse(X1),X2),
inference(backward_demodulation,[],[f1693,f2458]) ).
fof(f2499,plain,
! [X2,X0,X1] : add(X2,additive_inverse(associator(X0,X0,X1))) = X2,
inference(backward_demodulation,[],[f2468,f2483]) ).
fof(f2528,plain,
! [X2,X0,X1] : add(X2,additive_inverse(associator(X0,X1,X1))) = X2,
inference(superposition,[],[f2499,f1154]) ).
fof(f2780,plain,
! [X0,X1] : associator(multiply(X0,additive_identity),additive_identity,X1) = add(associator(X0,multiply(additive_identity,additive_identity),X1),additive_inverse(associator(X0,additive_identity,additive_identity))),
inference(superposition,[],[f1251,f4]) ).
fof(f2816,plain,
! [X0,X1] : associator(X0,multiply(additive_identity,additive_identity),X1) = associator(multiply(X0,additive_identity),additive_identity,X1),
inference(forward_demodulation,[],[f2780,f2528]) ).
fof(f2840,plain,
! [X0,X1] : associator(additive_identity,additive_identity,X1) = associator(X0,multiply(additive_identity,additive_identity),X1),
inference(forward_demodulation,[],[f2816,f6]) ).
fof(f2854,plain,
! [X0,X1] : associator(X0,additive_identity,X1) = associator(additive_identity,additive_identity,X1),
inference(forward_demodulation,[],[f2840,f4]) ).
fof(f2867,plain,
! [X0,X1] : additive_identity = associator(X0,additive_identity,X1),
inference(forward_demodulation,[],[f2854,f1026]) ).
fof(f2897,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = associator(X1,add(X0,additive_inverse(X0)),X2),
inference(superposition,[],[f2867,f10]) ).
fof(f3165,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(additive_inverse(X0),X1,X2),
inference(superposition,[],[f2483,f11]) ).
fof(f3310,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X0),
inference(superposition,[],[f1027,f3165]) ).
fof(f3391,plain,
! [X2,X0,X1] : add(additive_identity,associator(X0,X1,X2)) = associator(X0,X1,add(X0,X2)),
inference(superposition,[],[f1259,f3310]) ).
fof(f3396,plain,
! [X2,X0,X1] : associator(add(X0,X1),X2,X1) = add(associator(X0,X2,X1),additive_identity),
inference(superposition,[],[f1261,f3310]) ).
fof(f3407,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = associator(add(X0,X1),X2,X1),
inference(forward_demodulation,[],[f3396,f2]) ).
fof(f3412,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X0,X2)),
inference(forward_demodulation,[],[f3391,f1]) ).
fof(f3428,plain,
! [X2,X0,X1] : associator(X1,X2,add(X0,additive_inverse(X1))) = associator(X0,X2,add(X0,additive_inverse(X1))),
inference(superposition,[],[f3407,f89]) ).
fof(f3435,plain,
! [X2,X0,X1] : associator(X1,X2,additive_inverse(X1)) = associator(add(X0,additive_inverse(X0)),X2,additive_inverse(X1)),
inference(superposition,[],[f3407,f35]) ).
fof(f3519,plain,
! [X2,X0,X1] : add(X0,additive_inverse(X0)) = associator(X1,X2,additive_inverse(X1)),
inference(forward_demodulation,[],[f3435,f1961]) ).
fof(f3521,plain,
! [X2,X0,X1] : associator(X1,X2,add(X0,additive_inverse(X1))) = associator(X0,X2,additive_inverse(X1)),
inference(forward_demodulation,[],[f3428,f3412]) ).
fof(f4565,plain,
! [X2,X3,X0,X1] : add(associator(X1,X2,X3),add(X0,additive_inverse(X0))) = associator(X1,X2,add(X3,additive_inverse(X1))),
inference(superposition,[],[f1259,f3519]) ).
fof(f4581,plain,
! [X2,X3,X1] : associator(X1,X2,X3) = associator(X1,X2,add(X3,additive_inverse(X1))),
inference(forward_demodulation,[],[f4565,f280]) ).
fof(f4611,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X0,X2,additive_inverse(X1)),
inference(backward_demodulation,[],[f3521,f4581]) ).
fof(f4743,plain,
! [X2,X0,X1] : associator(X1,X2,X0) = associator(X0,X1,additive_inverse(additive_inverse(X2))),
inference(superposition,[],[f3165,f4611]) ).
fof(f4796,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X1,X2,X0),
inference(forward_demodulation,[],[f4743,f11]) ).
fof(f4998,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,additive_inverse(X2),X1),
inference(superposition,[],[f2483,f4796]) ).
fof(f5089,plain,
additive_identity != add(associator(x,y,z),associator(x,additive_inverse(y),z)),
inference(backward_demodulation,[],[f34,f4998]) ).
fof(f5125,plain,
additive_identity != associator(x,add(y,additive_inverse(y)),z),
inference(forward_demodulation,[],[f5089,f1260]) ).
fof(f5132,plain,
additive_identity != add(y,additive_inverse(y)),
inference(forward_demodulation,[],[f5125,f2897]) ).
fof(f5135,plain,
$false,
inference(forward_subsumption_resolution,[],[f5132,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG025-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:59:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 23.92/7.30 % (3505025)Detected a unit-equality problem, will run specialized UEQ schedule.
% 23.92/7.30 % (3505033)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=682165696:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 23.92/7.30 % (3505033)Instruction limit reached!
% 23.92/7.30 % (3505033)------------------------------
% 23.92/7.30 % (3505033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505033)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505033)Termination reason: Instruction limit
% 23.92/7.30 % (3505033)Termination phase: Saturation
% 23.92/7.30 % (3505033)Time elapsed: 0.036 s
% 23.92/7.30 % (3505033)Peak memory usage: 88 MB
% 23.92/7.30 % (3505033)Instructions burned: 139 (million)
% 23.92/7.30 % (3505036)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3773102087:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 23.92/7.30 % (3505032)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2604589671:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 23.92/7.30 % (3505034)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2526491830:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 23.92/7.30 % (3505030)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=4136578048:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 23.92/7.30 % (3505031)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=4084604521:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 23.92/7.30 % (3505035)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3262620134:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 23.92/7.30 % (3505034)Instruction limit reached!
% 23.92/7.30 % (3505034)------------------------------
% 23.92/7.30 % (3505034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505034)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505034)Termination reason: Instruction limit
% 23.92/7.30 % (3505034)Termination phase: Saturation
% 23.92/7.30 % (3505034)Time elapsed: 0.099 s
% 23.92/7.30 % (3505034)Peak memory usage: 89 MB
% 23.92/7.30 % (3505034)Instructions burned: 181 (million)
% 23.92/7.30 % (3505044)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2638481013:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 23.92/7.30 % (3505035)Instruction limit reached!
% 23.92/7.30 % (3505035)------------------------------
% 23.92/7.30 % (3505035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505035)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505035)Termination reason: Instruction limit
% 23.92/7.30 % (3505035)Termination phase: Saturation
% 23.92/7.30 % (3505035)Time elapsed: 0.154 s
% 23.92/7.30 % (3505035)Peak memory usage: 90 MB
% 23.92/7.30 % (3505035)Instructions burned: 257 (million)
% 23.92/7.30 % (3505045)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3839229462:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 23.92/7.30 % (3505047)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2930558294:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 23.92/7.30 % (3505047)Instruction limit reached!
% 23.92/7.30 % (3505047)------------------------------
% 23.92/7.30 % (3505047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505047)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505047)Termination reason: Instruction limit
% 23.92/7.30 % (3505047)Termination phase: Saturation
% 23.92/7.30 % (3505047)Time elapsed: 0.114 s
% 23.92/7.30 % (3505047)Peak memory usage: 90 MB
% 23.92/7.30 % (3505047)Instructions burned: 216 (million)
% 23.92/7.30 % (3505050)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=3492612715:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 23.92/7.30 % (3505036)Instruction limit reached!
% 23.92/7.30 % (3505036)------------------------------
% 23.92/7.30 % (3505036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505036)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505036)Termination reason: Instruction limit
% 23.92/7.30 % (3505036)Termination phase: Saturation
% 23.92/7.30 % (3505036)Time elapsed: 0.613 s
% 23.92/7.30 % (3505036)Peak memory usage: 96 MB
% 23.92/7.30 % (3505036)Instructions burned: 1188 (million)
% 23.92/7.30 % (3505050)Instruction limit reached!
% 23.92/7.30 % (3505050)------------------------------
% 23.92/7.30 % (3505050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505050)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505050)Termination reason: Instruction limit
% 23.92/7.30 % (3505050)Termination phase: Saturation
% 23.92/7.30 % (3505050)Time elapsed: 0.156 s
% 23.92/7.30 % (3505050)Peak memory usage: 89 MB
% 23.92/7.30 % (3505050)Instructions burned: 317 (million)
% 23.92/7.30 % (3505052)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=2290410229:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 23.92/7.30 % (3505044)Instruction limit reached!
% 23.92/7.30 % (3505044)------------------------------
% 23.92/7.30 % (3505044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505044)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505044)Termination reason: Instruction limit
% 23.92/7.30 % (3505044)Termination phase: Saturation
% 23.92/7.30 % (3505044)Time elapsed: 0.725 s
% 23.92/7.30 % (3505044)Peak memory usage: 141 MB
% 23.92/7.30 % (3505044)Instructions burned: 2052 (million)
% 23.92/7.30 % (3505053)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1994248807:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 23.92/7.30 % (3505055)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=118250891:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 23.92/7.30 % (3505053)Instruction limit reached!
% 23.92/7.30 % (3505053)------------------------------
% 23.92/7.30 % (3505053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505053)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505053)Termination reason: Instruction limit
% 23.92/7.30 % (3505053)Termination phase: Saturation
% 23.92/7.30 % (3505053)Time elapsed: 1.702 s
% 23.92/7.30 % (3505053)Peak memory usage: 115 MB
% 23.92/7.30 % (3505053)Instructions burned: 2837 (million)
% 23.92/7.30 % (3505058)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=458023215:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2971 on theBenchmark for (2971ds/11832Mi)
% 23.92/7.30 % (3505045)Instruction limit reached!
% 23.92/7.30 % (3505045)------------------------------
% 23.92/7.30 % (3505045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505045)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505045)Termination reason: Instruction limit
% 23.92/7.30 % (3505045)Termination phase: Saturation
% 23.92/7.30 % (3505045)Time elapsed: 2.907 s
% 23.92/7.30 % (3505045)Peak memory usage: 167 MB
% 23.92/7.30 % (3505045)Instructions burned: 4949 (million)
% 23.92/7.30 % (3505060)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=3303361755:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 23.92/7.30 % (3505060)Instruction limit reached!
% 23.92/7.30 % (3505060)------------------------------
% 23.92/7.30 % (3505060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505060)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505060)Termination reason: Instruction limit
% 23.92/7.30 % (3505060)Termination phase: Saturation
% 23.92/7.30 % (3505060)Time elapsed: 1.394 s
% 23.92/7.30 % (3505060)Peak memory usage: 139 MB
% 23.92/7.30 % (3505060)Instructions burned: 2280 (million)
% 23.92/7.30 % (3505052)Instruction limit reached!
% 23.92/7.30 % (3505052)------------------------------
% 23.92/7.30 % (3505052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.92/7.30 % (3505052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/7.30 % (3505052)CaDiCaL version: 2.1.3
% 23.92/7.30 % (3505052)Termination reason: Instruction limit
% 23.92/7.30 % (3505052)Termination phase: Saturation
% 23.92/7.30 % (3505052)Time elapsed: 4.070 s
% 23.92/7.30 % (3505052)Peak memory usage: 243 MB
% 23.92/7.30 % (3505052)Instructions burned: 12126 (million)
% 23.92/7.30 % (3505062)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=341036282:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2950 on theBenchmark for (2950ds/6225Mi)
% 23.92/7.30 % (3505063)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=377524803:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2949 on theBenchmark for (2949ds/21755Mi)
% 23.92/7.30 % (3505062)First to succeed.
% 23.92/7.30 % (3505062)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3505025"
% 23.92/7.30 % (3505062)Refutation found. Thanks to Tanya!
% 23.92/7.30 % SZS status Unsatisfiable for theBenchmark
% 23.92/7.30 % SZS output start Proof for theBenchmark
% See solution above
% 46.24/7.51 % (3505062)------------------------------
% 46.24/7.51 % (3505062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.24/7.51 % (3505062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.24/7.51 % (3505062)CaDiCaL version: 2.1.3
% 46.24/7.51 % (3505062)Termination reason: Refutation
% 46.24/7.51 % (3505062)Time elapsed: 1.081 s
% 46.24/7.51 % (3505062)Peak memory usage: 135 MB
% 46.24/7.51 % (3505062)Instructions burned: 1696 (million)
% 46.24/7.51 % (3505062)------------------------------
% 46.24/7.51 % (3505062)------------------------------
% 46.24/7.51 % (3505025)Success in time 6.436 s
% 46.24/7.51 % Vampire exiting
%------------------------------------------------------------------------------