%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG027-7 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 140.92s 20.90s
% Output : Refutation 141.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 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 : 328 ( 328 !; 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(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(f7,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
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,axiom,
! [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(f22,axiom,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product1) ).
fof(f23,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).
fof(f25,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(reorient_equations,[],[f24]) ).
fof(f28,axiom,
! [X2,X0,X1] : multiply(additive_inverse(X0),add(X1,X2)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference3) ).
fof(f29,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),additive_inverse(X2)) = add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference4) ).
fof(f30,negated_conjecture,
multiply(cz,multiply(cx,multiply(cy,cx))) != multiply(multiply(multiply(cz,cx),cy),cx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_moufang) ).
fof(f31,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(multiply(add(X0,X1),X2)),
inference(backward_demodulation,[],[f29,f25]) ).
fof(f32,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))),
inference(backward_demodulation,[],[f28,f23]) ).
fof(f36,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(add(multiply(X0,X2),multiply(X1,X2))),
inference(forward_demodulation,[],[f31,f13]) ).
fof(f37,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(add(multiply(X0,X1),multiply(X0,X2))),
inference(forward_demodulation,[],[f32,f12]) ).
fof(f56,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(f61,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(f68,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,[],[f61,f12]) ).
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,add(multiply(X1,X3),multiply(X2,X3))))),
inference(forward_demodulation,[],[f56,f13]) ).
fof(f77,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f68,f37]) ).
fof(f82,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,[],[f73,f12]) ).
fof(f86,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(add(multiply(multiply(X3,X0),X1),multiply(multiply(X3,X0),X2)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f77,f12]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f82,f37]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),X1),add(multiply(multiply(X3,X0),X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f86,f15]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X0,X2),X3)),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f91,f13]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X0,X2),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f98,f15]) ).
fof(f114,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(f122,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(forward_demodulation,[],[f114,f10]) ).
fof(f192,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(f193,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,X1)) = multiply(multiply(X0,multiply(X0,X1)),X1),
inference(superposition,[],[f16,f17]) ).
fof(f203,plain,
! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1))),
inference(forward_demodulation,[],[f193,f17]) ).
fof(f204,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f192,f10]) ).
fof(f319,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(f322,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(add(X0,X3),X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f319,f36]) ).
fof(f339,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(add(multiply(X0,X1),multiply(X3,X1)),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f322,f13]) ).
fof(f350,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X3,X1),X2)),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f339,f13]) ).
fof(f360,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X3,X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f350,f15]) ).
fof(f412,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f15,f8]) ).
fof(f425,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f412,f1]) ).
fof(f437,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f425,f14]) ).
fof(f451,plain,
! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0,
inference(superposition,[],[f14,f425]) ).
fof(f454,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(forward_demodulation,[],[f451,f15]) ).
fof(f621,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f454,f15]) ).
fof(f622,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f454,f18]) ).
fof(f643,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,[],[f30,f622]) ).
fof(f648,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),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))),
inference(backward_demodulation,[],[f94,f622]) ).
fof(f649,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),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))),
inference(backward_demodulation,[],[f102,f622]) ).
fof(f655,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),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f360,f622]) ).
fof(f668,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,[],[f203,f622]) ).
fof(f677,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,[],[f668,f622]) ).
fof(f688,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),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f655,f15]) ).
fof(f692,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),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f649,f15]) ).
fof(f693,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),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f648,f15]) ).
fof(f698,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,[],[f643,f622]) ).
fof(f702,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,[],[f677,f12]) ).
fof(f709,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)),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f688,f622]) ).
fof(f713,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)),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f692,f622]) ).
fof(f714,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)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f693,f622]) ).
fof(f718,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,[],[f698,f15]) ).
fof(f720,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,[],[f702,f15]) ).
fof(f727,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(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f709,f15]) ).
fof(f730,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(forward_demodulation,[],[f713,f15]) ).
fof(f731,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(forward_demodulation,[],[f714,f15]) ).
fof(f735,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,[],[f720,f122]) ).
fof(f741,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,[],[f727,f621]) ).
fof(f742,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(forward_demodulation,[],[f730,f621]) ).
fof(f743,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(forward_demodulation,[],[f731,f621]) ).
fof(f747,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,[],[f735,f6]) ).
fof(f753,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(forward_demodulation,[],[f741,f621]) ).
fof(f754,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f742,f621]) ).
fof(f755,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(associator(X3,X0,X1),associator(X3,X0,X2)),
inference(forward_demodulation,[],[f743,f621]) ).
fof(f759,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,[],[f747,f1]) ).
fof(f792,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(multiply(cz,cx),cy,cx),associator(cz,cx,multiply(cy,cx)))),
inference(superposition,[],[f718,f14]) ).
fof(f884,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,[],[f425,f759]) ).
fof(f891,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,X1),X1),
inference(forward_demodulation,[],[f884,f8]) ).
fof(f1512,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),associator(X0,add(X1,X2),X2)),
inference(superposition,[],[f122,f755]) ).
fof(f1519,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),add(associator(X0,X1,X2),associator(X0,X2,X2))),
inference(forward_demodulation,[],[f1512,f754]) ).
fof(f1539,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),add(associator(X0,X1,X2),additive_identity)),
inference(forward_demodulation,[],[f1519,f122]) ).
fof(f1556,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1539,f2]) ).
fof(f1567,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X1,X1),associator(X0,X2,X1)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1556,f754]) ).
fof(f1573,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X1),add(associator(X0,X2,X1),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1567,f15]) ).
fof(f1577,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X0,X2,X1),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1573,f122]) ).
fof(f1581,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,X1),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1577,f1]) ).
fof(f1595,plain,
! [X0,X1] : additive_identity = add(associator(X0,X1,multiply(X0,X1)),additive_identity),
inference(superposition,[],[f1581,f891]) ).
fof(f1608,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f437,f1581]) ).
fof(f1611,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1608,f2]) ).
fof(f1620,plain,
! [X0,X1] : additive_identity = associator(X0,X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f1595,f2]) ).
fof(f1693,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(add(X0,X1),X1,X2)),
inference(superposition,[],[f204,f754]) ).
fof(f1706,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,[],[f1693,f753]) ).
fof(f1730,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),add(associator(X0,X1,X2),additive_identity)),
inference(forward_demodulation,[],[f1706,f204]) ).
fof(f1749,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1730,f2]) ).
fof(f1764,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X0,X2),associator(X1,X0,X2)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1749,f753]) ).
fof(f1773,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X0,X2),add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1764,f15]) ).
fof(f1780,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1773,f204]) ).
fof(f1785,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1780,f1]) ).
fof(f1814,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f437,f1785]) ).
fof(f1819,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1814,f2]) ).
fof(f3554,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X2,X0,X1),
inference(superposition,[],[f1819,f1611]) ).
fof(f5073,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cy,cx,multiply(cz,cx)),associator(cz,cx,multiply(cy,cx)))),
inference(superposition,[],[f792,f3554]) ).
fof(f5953,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,[],[f753,f1620]) ).
fof(f5956,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,[],[f5953,f13]) ).
fof(f5977,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,[],[f5956,f755]) ).
fof(f5990,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,[],[f5977,f1620]) ).
fof(f6002,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,[],[f5990,f2]) ).
fof(f6008,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,[],[f6002,f755]) ).
fof(f6014,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,[],[f6008,f15]) ).
fof(f6020,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,[],[f6014,f1620]) ).
fof(f6026,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,multiply(X1,X2)),associator(X1,X2,multiply(X0,X2))),
inference(forward_demodulation,[],[f6020,f1]) ).
fof(f6033,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),additive_identity),
inference(backward_demodulation,[],[f5073,f6026]) ).
fof(f6034,plain,
$false,
inference(forward_subsumption_resolution,[],[f6033,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG027-7 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 23:05:03 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 140.92/20.90 % (3094444)Detected a unit-equality problem, will run specialized UEQ schedule.
% 140.92/20.90 % (3094449)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=2143134491:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 140.92/20.90 % (3094453)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2382415094:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 140.92/20.90 % (3094453)Refutation not found, incomplete strategy
% 140.92/20.90 % (3094453)------------------------------
% 140.92/20.90 % (3094453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094453)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094453)Termination reason: Refutation not found, incomplete strategy
% 140.92/20.90 % (3094453)Time elapsed: 0.002 s
% 140.92/20.90 % (3094453)Peak memory usage: 88 MB
% 140.92/20.90 % (3094453)Instructions burned: 1 (million)
% 140.92/20.90 % (3094450)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=857442600:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 140.92/20.90 % (3094451)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=867851724:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 140.92/20.90 % (3094452)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1052600252:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 140.92/20.90 % (3094454)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2607620823:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 140.92/20.90 % (3094455)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3983705586:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 140.92/20.90 % (3094452)Instruction limit reached!
% 140.92/20.90 % (3094452)------------------------------
% 140.92/20.90 % (3094452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094452)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094452)Termination reason: Instruction limit
% 140.92/20.90 % (3094452)Termination phase: Saturation
% 140.92/20.90 % (3094452)Time elapsed: 0.109 s
% 140.92/20.90 % (3094452)Peak memory usage: 88 MB
% 140.92/20.90 % (3094452)Instructions burned: 137 (million)
% 140.92/20.90 % (3094453)------------------------------
% 140.92/20.90 % (3094453)------------------------------
% 140.92/20.90 % (3094454)Instruction limit reached!
% 140.92/20.90 % (3094454)------------------------------
% 140.92/20.90 % (3094454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094454)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094454)Termination reason: Instruction limit
% 140.92/20.90 % (3094454)Termination phase: Saturation
% 140.92/20.90 % (3094454)Time elapsed: 0.227 s
% 140.92/20.90 % (3094454)Peak memory usage: 90 MB
% 140.92/20.90 % (3094454)Instructions burned: 259 (million)
% 140.92/20.90 % (3094463)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3599618142:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 140.92/20.90 % (3094465)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1212003986:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 140.92/20.90 % (3094464)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=299960898:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 140.92/20.90 % (3094465)Instruction limit reached!
% 140.92/20.90 % (3094465)------------------------------
% 140.92/20.90 % (3094465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094465)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094465)Termination reason: Instruction limit
% 140.92/20.90 % (3094465)Termination phase: Saturation
% 140.92/20.90 % (3094465)Time elapsed: 0.192 s
% 140.92/20.90 % (3094465)Peak memory usage: 89 MB
% 140.92/20.90 % (3094465)Instructions burned: 215 (million)
% 140.92/20.90 % (3094469)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=1284158060: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)
% 140.92/20.90 % (3094455)Instruction limit reached!
% 140.92/20.90 % (3094455)------------------------------
% 140.92/20.90 % (3094455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094455)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094455)Termination reason: Instruction limit
% 140.92/20.90 % (3094455)Termination phase: Saturation
% 140.92/20.90 % (3094455)Time elapsed: 1.032 s
% 140.92/20.90 % (3094455)Peak memory usage: 96 MB
% 140.92/20.90 % (3094455)Instructions burned: 1187 (million)
% 140.92/20.90 % (3094471)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=403200929:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 140.92/20.90 % (3094469)Instruction limit reached!
% 140.92/20.90 % (3094469)------------------------------
% 140.92/20.90 % (3094469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094469)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094469)Termination reason: Instruction limit
% 140.92/20.90 % (3094469)Termination phase: Saturation
% 140.92/20.90 % (3094469)Time elapsed: 0.330 s
% 140.92/20.90 % (3094469)Peak memory usage: 94 MB
% 140.92/20.90 % (3094469)Instructions burned: 318 (million)
% 140.92/20.90 % (3094473)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4079733691:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 140.92/20.90 % (3094463)Instruction limit reached!
% 140.92/20.90 % (3094463)------------------------------
% 140.92/20.90 % (3094463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094463)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094463)Termination reason: Instruction limit
% 140.92/20.90 % (3094463)Termination phase: Saturation
% 140.92/20.90 % (3094463)Time elapsed: 1.510 s
% 140.92/20.90 % (3094463)Peak memory usage: 141 MB
% 140.92/20.90 % (3094463)Instructions burned: 2051 (million)
% 140.92/20.90 % (3094475)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1362330777:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2977 on theBenchmark for (2977ds/14534Mi)
% 140.92/20.90 % (3094473)Instruction limit reached!
% 140.92/20.90 % (3094473)------------------------------
% 140.92/20.90 % (3094473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094473)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094473)Termination reason: Instruction limit
% 140.92/20.90 % (3094473)Termination phase: Saturation
% 140.92/20.90 % (3094473)Time elapsed: 2.887 s
% 140.92/20.90 % (3094473)Peak memory usage: 114 MB
% 140.92/20.90 % (3094473)Instructions burned: 2837 (million)
% 140.92/20.90 % (3094482)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=4263909887:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2952 on theBenchmark for (2952ds/11832Mi)
% 140.92/20.90 % (3094464)Instruction limit reached!
% 140.92/20.90 % (3094464)------------------------------
% 140.92/20.90 % (3094464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094464)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094464)Termination reason: Instruction limit
% 140.92/20.90 % (3094464)Termination phase: Saturation
% 140.92/20.90 % (3094464)Time elapsed: 4.923 s
% 140.92/20.90 % (3094464)Peak memory usage: 167 MB
% 140.92/20.90 % (3094464)Instructions burned: 4948 (million)
% 140.92/20.90 % (3094484)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=441797414:i=2279:fgj=on:bd=all_2942 on theBenchmark for (2942ds/2279Mi)
% 140.92/20.90 % (3094484)Instruction limit reached!
% 140.92/20.90 % (3094484)------------------------------
% 140.92/20.90 % (3094484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094484)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094484)Termination reason: Instruction limit
% 140.92/20.90 % (3094484)Termination phase: Saturation
% 140.92/20.90 % (3094484)Time elapsed: 2.213 s
% 140.92/20.90 % (3094484)Peak memory usage: 139 MB
% 140.92/20.90 % (3094484)Instructions burned: 2280 (million)
% 140.92/20.90 % (3094471)Instruction limit reached!
% 140.92/20.90 % (3094471)------------------------------
% 140.92/20.90 % (3094471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094471)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094471)Termination reason: Instruction limit
% 140.92/20.90 % (3094471)Termination phase: Saturation
% 140.92/20.90 % (3094471)Time elapsed: 6.864 s
% 140.92/20.90 % (3094471)Peak memory usage: 243 MB
% 140.92/20.90 % (3094471)Instructions burned: 12126 (million)
% 140.92/20.90 % (3094486)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=523932228:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2918 on theBenchmark for (2918ds/6225Mi)
% 140.92/20.90 % (3094487)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3015077480:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2915 on theBenchmark for (2915ds/21755Mi)
% 140.92/20.90 % (3094486)Instruction limit reached!
% 140.92/20.90 % (3094486)------------------------------
% 140.92/20.90 % (3094486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094486)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094486)Termination reason: Instruction limit
% 140.92/20.90 % (3094486)Termination phase: Saturation
% 140.92/20.90 % (3094486)Time elapsed: 6.137 s
% 140.92/20.90 % (3094486)Peak memory usage: 163 MB
% 140.92/20.90 % (3094486)Instructions burned: 6226 (million)
% 140.92/20.90 % (3094492)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=623654701:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2853 on theBenchmark for (2853ds/16427Mi)
% 140.92/20.90 % (3094482)Instruction limit reached!
% 140.92/20.90 % (3094482)------------------------------
% 140.92/20.90 % (3094482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094482)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094482)Termination reason: Instruction limit
% 140.92/20.90 % (3094482)Termination phase: Saturation
% 140.92/20.90 % (3094482)Time elapsed: 12.363 s
% 140.92/20.90 % (3094482)Peak memory usage: 232 MB
% 140.92/20.90 % (3094482)Instructions burned: 11832 (million)
% 140.92/20.90 % (3094475)Instruction limit reached!
% 140.92/20.90 % (3094475)------------------------------
% 140.92/20.90 % (3094475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.92/20.90 % (3094475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.92/20.90 % (3094475)CaDiCaL version: 2.1.3
% 140.92/20.90 % (3094475)Termination reason: Instruction limit
% 140.92/20.90 % (3094475)Termination phase: Saturation
% 140.92/20.90 % (3094475)Time elapsed: 15.093 s
% 140.92/20.90 % (3094475)Peak memory usage: 259 MB
% 140.92/20.90 % (3094475)Instructions burned: 14534 (million)
% 140.92/20.90 % (3094496)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=3695903279:i=9356:fgj=on:bd=preordered:av=off_2826 on theBenchmark for (2826ds/9356Mi)
% 140.92/20.90 % (3094497)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=2887716960:i=2070:kws=inv_precedence:slsql=off:bd=all_2824 on theBenchmark for (2824ds/2070Mi)
% 140.92/20.90 % (3094496)First to succeed.
% 140.92/20.90 % (3094496)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3094444"
% 140.92/20.90 % (3094496)Refutation found. Thanks to Tanya!
% 140.92/20.90 % SZS status Unsatisfiable for theBenchmark
% 140.92/20.90 % SZS output start Proof for theBenchmark
% See solution above
% 141.76/21.22 % (3094496)------------------------------
% 141.76/21.22 % (3094496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.76/21.22 % (3094496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.76/21.22 % (3094496)CaDiCaL version: 2.1.3
% 141.76/21.22 % (3094496)Termination reason: Refutation
% 141.76/21.22 % (3094496)Time elapsed: 1.703 s
% 141.76/21.22 % (3094496)Peak memory usage: 135 MB
% 141.76/21.22 % (3094496)Instructions burned: 1692 (million)
% 141.76/21.22 % (3094496)------------------------------
% 141.76/21.22 % (3094496)------------------------------
% 141.76/21.22 % (3094444)Success in time 19.858 s
% 141.76/21.22 % Vampire exiting
%------------------------------------------------------------------------------