%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG027-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:11 PM UTC 2026
% Result : Unsatisfiable 135.01s 20.39s
% Output : Refutation 138.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 15
% Syntax : Number of formulae : 129 ( 129 unt; 0 def)
% Number of atoms : 129 ( 128 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 345 ( 345 !; 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(f7,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f8,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f7]) ).
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,
multiply(cz,multiply(cx,multiply(cy,cx))) != multiply(multiply(multiply(cz,cx),cy),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_moufang) ).
fof(f25,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(f27,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),additive_inverse(multiply(X3,add(multiply(X0,X1),multiply(X0,X2))))),
inference(superposition,[],[f18,f12]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f27,f12]) ).
fof(f35,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,[],[f25,f13]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(add(multiply(multiply(X3,X0),X1),multiply(multiply(X3,X0),X2)),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f33,f12]) ).
fof(f38,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,[],[f35,f12]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),X1),add(multiply(multiply(X3,X0),X2),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f36,f15]) ).
fof(f41,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,[],[f38,f13]) ).
fof(f42,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,[],[f41,f15]) ).
fof(f46,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(f52,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(forward_demodulation,[],[f46,f10]) ).
fof(f94,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(f95,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,X1)) = multiply(multiply(X0,multiply(X0,X1)),X1),
inference(superposition,[],[f16,f17]) ).
fof(f103,plain,
! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1))),
inference(forward_demodulation,[],[f95,f17]) ).
fof(f104,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f94,f10]) ).
fof(f141,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(f142,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,[],[f141,f13]) ).
fof(f152,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,[],[f142,f13]) ).
fof(f159,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,[],[f152,f15]) ).
fof(f201,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f15,f10]) ).
fof(f204,plain,
! [X2,X3,X0,X1] : add(multiply(multiply(X0,X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),X3)) = add(associator(X0,X1,X2),X3),
inference(superposition,[],[f15,f18]) ).
fof(f214,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f10,f15]) ).
fof(f218,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f201,f1]) ).
fof(f226,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(superposition,[],[f218,f11]) ).
fof(f228,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f218,f14]) ).
fof(f280,plain,
! [X0,X1] : multiply(additive_identity,X1) = add(multiply(additive_inverse(X0),X1),multiply(X0,X1)),
inference(superposition,[],[f13,f8]) ).
fof(f286,plain,
! [X0,X1] : additive_identity = add(multiply(additive_inverse(X0),X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f280,f4]) ).
fof(f519,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f226,f14]) ).
fof(f554,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(additive_inverse(additive_inverse(multiply(X0,multiply(X1,X2)))),associator(X0,X1,X2)),
inference(superposition,[],[f519,f18]) ).
fof(f556,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = add(additive_inverse(multiply(X0,X1)),additive_identity),
inference(superposition,[],[f519,f286]) ).
fof(f579,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f556,f2]) ).
fof(f581,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f554,f11]) ).
fof(f607,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(add(multiply(X3,multiply(X0,X1)),associator(X3,X0,X1)),add(multiply(multiply(X3,X0),X2),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2)))))),
inference(backward_demodulation,[],[f39,f581]) ).
fof(f608,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(X0,multiply(X1,X3)),associator(X0,X1,X3)),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(backward_demodulation,[],[f42,f581]) ).
fof(f612,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f159,f581]) ).
fof(f614,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),X3) = add(add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),add(additive_inverse(multiply(X0,multiply(X1,X2))),X3)),
inference(backward_demodulation,[],[f204,f581]) ).
fof(f633,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,multiply(multiply(X0,X1),X1)),associator(X0,multiply(X0,X1),X1)),
inference(backward_demodulation,[],[f103,f581]) ).
fof(f636,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(multiply(cz,cx),multiply(cy,cx)),associator(multiply(cz,cx),cy,cx)),
inference(backward_demodulation,[],[f20,f581]) ).
fof(f645,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(add(multiply(cz,multiply(cx,multiply(cy,cx))),associator(cz,cx,multiply(cy,cx))),associator(multiply(cz,cx),cy,cx)),
inference(forward_demodulation,[],[f636,f581]) ).
fof(f648,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,add(multiply(X0,multiply(X1,X1)),associator(X0,X1,X1))),associator(X0,multiply(X0,X1),X1)),
inference(forward_demodulation,[],[f633,f581]) ).
fof(f665,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),X3) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),X3))),
inference(forward_demodulation,[],[f614,f15]) ).
fof(f667,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(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,[],[f612,f15]) ).
fof(f671,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(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,[],[f608,f15]) ).
fof(f672,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(multiply(multiply(X3,X0),X2),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f607,f15]) ).
fof(f682,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cz,cx,multiply(cy,cx)),associator(multiply(cz,cx),cy,cx))),
inference(forward_demodulation,[],[f645,f15]) ).
fof(f685,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(add(multiply(X0,multiply(X0,multiply(X1,X1))),multiply(X0,associator(X0,X1,X1))),associator(X0,multiply(X0,X1),X1)),
inference(forward_demodulation,[],[f648,f12]) ).
fof(f700,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(add(multiply(X3,multiply(X1,X2)),associator(X3,X1,X2)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f667,f581]) ).
fof(f704,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(add(multiply(X0,multiply(X2,X3)),associator(X0,X2,X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f671,f581]) ).
fof(f705,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(add(multiply(X3,multiply(X0,X2)),associator(X3,X0,X2)),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f672,f581]) ).
fof(f715,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,multiply(X0,multiply(X1,X1))),add(multiply(X0,associator(X0,X1,X1)),associator(X0,multiply(X0,X1),X1))),
inference(forward_demodulation,[],[f685,f15]) ).
fof(f730,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(multiply(X3,multiply(X1,X2)),add(associator(X3,X1,X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f700,f15]) ).
fof(f734,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))))),
inference(forward_demodulation,[],[f704,f15]) ).
fof(f735,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(multiply(X3,multiply(X0,X2)),add(associator(X3,X0,X2),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f705,f15]) ).
fof(f740,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,multiply(X0,multiply(X1,X1))),add(multiply(X0,additive_identity),associator(X0,multiply(X0,X1),X1))),
inference(forward_demodulation,[],[f715,f52]) ).
fof(f758,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,multiply(X0,multiply(X1,X1))),add(additive_identity,associator(X0,multiply(X0,X1),X1))),
inference(forward_demodulation,[],[f740,f6]) ).
fof(f775,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,X1))) = add(multiply(X0,multiply(X0,multiply(X1,X1))),associator(X0,multiply(X0,X1),X1)),
inference(forward_demodulation,[],[f758,f1]) ).
fof(f1069,plain,
! [X0,X1] : associator(X0,multiply(X0,X1),X1) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X1)))),multiply(X0,multiply(X0,multiply(X1,X1)))),
inference(superposition,[],[f226,f775]) ).
fof(f1071,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,X1),X1),
inference(forward_demodulation,[],[f1069,f8]) ).
fof(f1173,plain,
! [X2,X0,X1] : additive_inverse(multiply(X0,add(X1,X2))) = add(multiply(additive_inverse(X0),X1),multiply(additive_inverse(X0),X2)),
inference(superposition,[],[f12,f579]) ).
fof(f1174,plain,
! [X2,X0,X1] : additive_inverse(multiply(X0,add(X1,X2))) = add(multiply(additive_inverse(X0),X1),additive_inverse(multiply(X0,X2))),
inference(forward_demodulation,[],[f1173,f579]) ).
fof(f1178,plain,
! [X2,X0,X1] : additive_inverse(multiply(X0,add(X1,X2))) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
inference(forward_demodulation,[],[f1174,f579]) ).
fof(f1180,plain,
! [X2,X0,X1] : additive_inverse(add(multiply(X0,X1),multiply(X0,X2))) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
inference(forward_demodulation,[],[f1178,f12]) ).
fof(f1183,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))))),
inference(backward_demodulation,[],[f734,f1180]) ).
fof(f1184,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(multiply(X3,multiply(X0,X2)),add(associator(X3,X0,X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))))),
inference(backward_demodulation,[],[f735,f1180]) ).
fof(f1463,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity),
inference(superposition,[],[f226,f214]) ).
fof(f1474,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[],[f1463,f2]) ).
fof(f1527,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X1),additive_inverse(X0)),
inference(superposition,[],[f226,f1474]) ).
fof(f1548,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(multiply(X3,multiply(X1,X2)),add(associator(X3,X1,X2),add(additive_inverse(multiply(X3,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X1,X2)))))))),
inference(backward_demodulation,[],[f730,f1527]) ).
fof(f1574,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(associator(X3,X1,X2),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1548,f665]) ).
fof(f1705,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f228,f15]) ).
fof(f1731,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(associator(X3,X0,X2),additive_inverse(multiply(X3,multiply(X0,X1)))))),
inference(backward_demodulation,[],[f1184,f1705]) ).
fof(f1732,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(associator(X0,X2,X3),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f1183,f1705]) ).
fof(f1733,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(backward_demodulation,[],[f1574,f1705]) ).
fof(f1747,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f1732,f1705]) ).
fof(f1748,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(associator(X3,X0,X1),associator(X3,X0,X2)),
inference(forward_demodulation,[],[f1731,f1705]) ).
fof(f1802,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(add(X0,X1),X1,X2)),
inference(superposition,[],[f104,f1747]) ).
fof(f1803,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,add(X1,X2)),associator(X0,X2,add(X1,X2))),
inference(superposition,[],[f52,f1747]) ).
fof(f1804,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,add(X1,X2)),add(associator(X0,X2,X1),associator(X0,X2,X2))),
inference(forward_demodulation,[],[f1803,f1748]) ).
fof(f1805,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),add(associator(X0,X1,X2),associator(X1,X1,X2))),
inference(forward_demodulation,[],[f1802,f1733]) ).
fof(f1821,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,add(X1,X2)),add(associator(X0,X2,X1),additive_identity)),
inference(forward_demodulation,[],[f1804,f52]) ).
fof(f1822,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),add(associator(X0,X1,X2),additive_identity)),
inference(forward_demodulation,[],[f1805,f104]) ).
fof(f1828,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,add(X1,X2)),associator(X0,X2,X1)),
inference(forward_demodulation,[],[f1821,f2]) ).
fof(f1829,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1822,f2]) ).
fof(f1833,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X1,X1),associator(X0,X1,X2)),associator(X0,X2,X1)),
inference(forward_demodulation,[],[f1828,f1748]) ).
fof(f1834,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X0,X2),associator(X1,X0,X2)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1829,f1733]) ).
fof(f1837,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X1),add(associator(X0,X1,X2),associator(X0,X2,X1))),
inference(forward_demodulation,[],[f1833,f15]) ).
fof(f1838,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X0,X2),add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1834,f15]) ).
fof(f1841,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X0,X1,X2),associator(X0,X2,X1))),
inference(forward_demodulation,[],[f1837,f52]) ).
fof(f1842,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1838,f104]) ).
fof(f1845,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X2),associator(X0,X2,X1)),
inference(forward_demodulation,[],[f1841,f1]) ).
fof(f1846,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1842,f1]) ).
fof(f2340,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f519,f1846]) ).
fof(f2347,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2340,f2]) ).
fof(f2445,plain,
! [X0,X1] : additive_identity = add(associator(X0,X1,multiply(X0,X1)),additive_identity),
inference(superposition,[],[f1845,f1071]) ).
fof(f2457,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f519,f1845]) ).
fof(f2464,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2457,f2]) ).
fof(f2472,plain,
! [X0,X1] : additive_identity = associator(X0,X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f2445,f2]) ).
fof(f3347,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cz,cx,multiply(cy,cx)),additive_inverse(associator(cy,multiply(cz,cx),cx)))),
inference(superposition,[],[f682,f2347]) ).
fof(f3837,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,multiply(add(X0,X1),X2)),associator(X1,X2,multiply(add(X0,X1),X2))),
inference(superposition,[],[f1733,f2472]) ).
fof(f3838,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,add(multiply(X0,X2),multiply(X1,X2))),associator(X1,X2,add(multiply(X0,X2),multiply(X1,X2)))),
inference(forward_demodulation,[],[f3837,f13]) ).
fof(f3856,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,add(multiply(X0,X2),multiply(X1,X2))),add(associator(X1,X2,multiply(X0,X2)),associator(X1,X2,multiply(X1,X2)))),
inference(forward_demodulation,[],[f3838,f1748]) ).
fof(f3863,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,add(multiply(X0,X2),multiply(X1,X2))),add(associator(X1,X2,multiply(X0,X2)),additive_identity)),
inference(forward_demodulation,[],[f3856,f2472]) ).
fof(f3870,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,add(multiply(X0,X2),multiply(X1,X2))),associator(X1,X2,multiply(X0,X2))),
inference(forward_demodulation,[],[f3863,f2]) ).
fof(f3876,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X2,multiply(X0,X2)),associator(X0,X2,multiply(X1,X2))),associator(X1,X2,multiply(X0,X2))),
inference(forward_demodulation,[],[f3870,f1748]) ).
fof(f3882,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,multiply(X0,X2)),add(associator(X0,X2,multiply(X1,X2)),associator(X1,X2,multiply(X0,X2)))),
inference(forward_demodulation,[],[f3876,f15]) ).
fof(f3888,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X0,X2,multiply(X1,X2)),associator(X1,X2,multiply(X0,X2)))),
inference(forward_demodulation,[],[f3882,f2472]) ).
fof(f3894,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,multiply(X1,X2)),associator(X1,X2,multiply(X0,X2))),
inference(forward_demodulation,[],[f3888,f1]) ).
fof(f5639,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cz,cx,multiply(cy,cx)),associator(cy,cx,multiply(cz,cx)))),
inference(superposition,[],[f3347,f2464]) ).
fof(f5650,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),additive_identity),
inference(forward_demodulation,[],[f5639,f3894]) ).
fof(f5654,plain,
$false,
inference(forward_subsumption_resolution,[],[f5650,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG027-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:06:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 135.01/20.39 % (4071094)Detected a unit-equality problem, will run specialized UEQ schedule.
% 135.01/20.39 % (4071111)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=3371239216:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 135.01/20.39 % (4071114)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2846533482:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 135.01/20.39 % (4071116)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1951474501:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 135.01/20.39 % (4071110)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=3080371609:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 135.01/20.39 % (4071113)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1609197420:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 135.01/20.39 % (4071112)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1485831490:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 135.01/20.39 % (4071115)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4251601030:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 135.01/20.39 % (4071114)Instruction limit reached!
% 135.01/20.39 % (4071114)------------------------------
% 135.01/20.39 % (4071114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071114)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071114)Termination reason: Instruction limit
% 135.01/20.39 % (4071114)Termination phase: Saturation
% 135.01/20.39 % (4071114)Time elapsed: 0.111 s
% 135.01/20.39 % (4071114)Peak memory usage: 89 MB
% 135.01/20.39 % (4071114)Instructions burned: 181 (million)
% 135.01/20.39 % (4071113)Instruction limit reached!
% 135.01/20.39 % (4071113)------------------------------
% 135.01/20.39 % (4071113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071113)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071113)Termination reason: Instruction limit
% 135.01/20.39 % (4071113)Termination phase: Saturation
% 135.01/20.39 % (4071113)Time elapsed: 0.112 s
% 135.01/20.39 % (4071113)Peak memory usage: 88 MB
% 135.01/20.39 % (4071113)Instructions burned: 137 (million)
% 135.01/20.39 % (4071115)Instruction limit reached!
% 135.01/20.39 % (4071115)------------------------------
% 135.01/20.39 % (4071115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071115)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071115)Termination reason: Instruction limit
% 135.01/20.39 % (4071115)Termination phase: Saturation
% 135.01/20.39 % (4071115)Time elapsed: 0.224 s
% 135.01/20.39 % (4071115)Peak memory usage: 90 MB
% 135.01/20.39 % (4071115)Instructions burned: 257 (million)
% 135.01/20.39 % (4071128)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=179528392:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 135.01/20.39 % (4071129)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=517497229:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 135.01/20.39 % (4071130)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2534537542:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 135.01/20.39 % (4071130)Instruction limit reached!
% 135.01/20.39 % (4071130)------------------------------
% 135.01/20.39 % (4071130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071130)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071130)Termination reason: Instruction limit
% 135.01/20.39 % (4071130)Termination phase: Saturation
% 135.01/20.39 % (4071130)Time elapsed: 0.198 s
% 135.01/20.39 % (4071130)Peak memory usage: 89 MB
% 135.01/20.39 % (4071130)Instructions burned: 216 (million)
% 135.01/20.39 % (4071136)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=821812044:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 135.01/20.39 % (4071116)Instruction limit reached!
% 135.01/20.39 % (4071116)------------------------------
% 135.01/20.39 % (4071116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071116)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071116)Termination reason: Instruction limit
% 135.01/20.39 % (4071116)Termination phase: Saturation
% 135.01/20.39 % (4071116)Time elapsed: 1.042 s
% 135.01/20.39 % (4071116)Peak memory usage: 96 MB
% 135.01/20.39 % (4071116)Instructions burned: 1188 (million)
% 135.01/20.39 % (4071136)Instruction limit reached!
% 135.01/20.39 % (4071136)------------------------------
% 135.01/20.39 % (4071136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071136)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071136)Termination reason: Instruction limit
% 135.01/20.39 % (4071136)Termination phase: Saturation
% 135.01/20.39 % (4071136)Time elapsed: 0.334 s
% 135.01/20.39 % (4071136)Peak memory usage: 94 MB
% 135.01/20.39 % (4071136)Instructions burned: 318 (million)
% 135.01/20.39 % (4071138)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=3719756713:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 135.01/20.39 % (4071139)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=856670785:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 135.01/20.39 % (4071128)Instruction limit reached!
% 135.01/20.39 % (4071128)------------------------------
% 135.01/20.39 % (4071128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071128)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071128)Termination reason: Instruction limit
% 135.01/20.39 % (4071128)Termination phase: Saturation
% 135.01/20.39 % (4071128)Time elapsed: 2.122 s
% 135.01/20.39 % (4071128)Peak memory usage: 142 MB
% 135.01/20.39 % (4071128)Instructions burned: 2051 (million)
% 135.01/20.39 % (4071146)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3779919283:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2973 on theBenchmark for (2973ds/14534Mi)
% 135.01/20.39 % (4071139)Instruction limit reached!
% 135.01/20.39 % (4071139)------------------------------
% 135.01/20.39 % (4071139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071139)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071139)Termination reason: Instruction limit
% 135.01/20.39 % (4071139)Termination phase: Saturation
% 135.01/20.39 % (4071139)Time elapsed: 2.821 s
% 135.01/20.39 % (4071139)Peak memory usage: 117 MB
% 135.01/20.39 % (4071139)Instructions burned: 2837 (million)
% 135.01/20.39 % (4071154)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=3012027523:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2956 on theBenchmark for (2956ds/11832Mi)
% 135.01/20.39 % (4071129)Instruction limit reached!
% 135.01/20.39 % (4071129)------------------------------
% 135.01/20.39 % (4071129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071129)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071129)Termination reason: Instruction limit
% 135.01/20.39 % (4071129)Termination phase: Saturation
% 135.01/20.39 % (4071129)Time elapsed: 4.917 s
% 135.01/20.39 % (4071129)Peak memory usage: 167 MB
% 135.01/20.39 % (4071129)Instructions burned: 4948 (million)
% 135.01/20.39 % (4071158)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=641684717:i=2279:fgj=on:bd=all_2945 on theBenchmark for (2945ds/2279Mi)
% 135.01/20.39 % (4071158)Instruction limit reached!
% 135.01/20.39 % (4071158)------------------------------
% 135.01/20.39 % (4071158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071158)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071158)Termination reason: Instruction limit
% 135.01/20.39 % (4071158)Termination phase: Saturation
% 135.01/20.39 % (4071158)Time elapsed: 2.083 s
% 135.01/20.39 % (4071158)Peak memory usage: 135 MB
% 135.01/20.39 % (4071158)Instructions burned: 2279 (million)
% 135.01/20.39 % (4071162)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=1444069367:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2922 on theBenchmark for (2922ds/6225Mi)
% 135.01/20.39 % (4071138)Instruction limit reached!
% 135.01/20.39 % (4071138)------------------------------
% 135.01/20.39 % (4071138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071138)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071138)Termination reason: Instruction limit
% 135.01/20.39 % (4071138)Termination phase: Saturation
% 135.01/20.39 % (4071138)Time elapsed: 12.491 s
% 135.01/20.39 % (4071138)Peak memory usage: 242 MB
% 135.01/20.39 % (4071138)Instructions burned: 12125 (million)
% 135.01/20.39 % (4071162)Instruction limit reached!
% 135.01/20.39 % (4071162)------------------------------
% 135.01/20.39 % (4071162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071162)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071162)Termination reason: Instruction limit
% 135.01/20.39 % (4071162)Termination phase: Saturation
% 135.01/20.39 % (4071162)Time elapsed: 6.190 s
% 135.01/20.39 % (4071162)Peak memory usage: 161 MB
% 135.01/20.39 % (4071162)Instructions burned: 6225 (million)
% 135.01/20.39 % (4071172)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1500983466:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2860 on theBenchmark for (2860ds/21755Mi)
% 135.01/20.39 % (4071173)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3537070165:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2858 on theBenchmark for (2858ds/16427Mi)
% 135.01/20.39 % (4071154)Instruction limit reached!
% 135.01/20.39 % (4071154)------------------------------
% 135.01/20.39 % (4071154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071154)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071154)Termination reason: Instruction limit
% 135.01/20.39 % (4071154)Termination phase: Saturation
% 135.01/20.39 % (4071154)Time elapsed: 12.107 s
% 135.01/20.39 % (4071154)Peak memory usage: 223 MB
% 135.01/20.39 % (4071154)Instructions burned: 11832 (million)
% 135.01/20.39 % (4071178)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=547862057:i=9356:fgj=on:bd=preordered:av=off_2832 on theBenchmark for (2832ds/9356Mi)
% 135.01/20.39 % (4071146)Instruction limit reached!
% 135.01/20.39 % (4071146)------------------------------
% 135.01/20.39 % (4071146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.01/20.39 % (4071146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.01/20.39 % (4071146)CaDiCaL version: 2.1.3
% 135.01/20.39 % (4071146)Termination reason: Instruction limit
% 135.01/20.39 % (4071146)Termination phase: Saturation
% 135.01/20.39 % (4071146)Time elapsed: 14.729 s
% 135.01/20.39 % (4071146)Peak memory usage: 261 MB
% 135.01/20.39 % (4071146)Instructions burned: 14535 (million)
% 135.01/20.39 % (4071180)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=2304043969:i=2070:kws=inv_precedence:slsql=off:bd=all_2824 on theBenchmark for (2824ds/2070Mi)
% 135.01/20.39 % (4071178)First to succeed.
% 135.01/20.39 % (4071178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4071094"
% 135.01/20.39 % (4071178)Refutation found. Thanks to Tanya!
% 135.01/20.39 % SZS status Unsatisfiable for theBenchmark
% 135.01/20.39 % SZS output start Proof for theBenchmark
% See solution above
% 138.19/20.62 % (4071178)------------------------------
% 138.19/20.62 % (4071178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/20.62 % (4071178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/20.62 % (4071178)CaDiCaL version: 2.1.3
% 138.19/20.62 % (4071178)Termination reason: Refutation
% 138.19/20.62 % (4071178)Time elapsed: 1.920 s
% 138.19/20.62 % (4071178)Peak memory usage: 136 MB
% 138.19/20.62 % (4071178)Instructions burned: 1817 (million)
% 138.19/20.62 % (4071178)------------------------------
% 138.19/20.62 % (4071178)------------------------------
% 138.19/20.62 % (4071094)Success in time 19.346 s
% 138.19/20.62 % Vampire exiting
%------------------------------------------------------------------------------