%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG027-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 118.27s 17.68s
% Output : Refutation 119.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 84 ( 84 unt; 0 def)
% Number of atoms : 84 ( 83 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 : 205 ( 205 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
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',add_inverse) ).
fof(f8,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_of_inverses) ).
fof(f10,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_over_add1) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_over_add2) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_alternative) ).
fof(f14,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,
additive_inverse(additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_additive_identity) ).
fof(f19,plain,
additive_identity = additive_inverse(additive_identity),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f21,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(f24,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(f26,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X1,X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator_skew_symmetry1) ).
fof(f27,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X2,X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator_skew_symmetry2) ).
fof(f28,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(f29,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,[],[f24,f11]) ).
fof(f31,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,[],[f24,f11]) ).
fof(f34,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,[],[f31,f11]) ).
fof(f36,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,[],[f29,f12]) ).
fof(f37,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,[],[f34,f9]) ).
fof(f39,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,[],[f36,f11]) ).
fof(f40,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,[],[f37,f11]) ).
fof(f42,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,[],[f39,f9]) ).
fof(f43,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,[],[f40,f21]) ).
fof(f45,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,[],[f42,f12]) ).
fof(f46,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,[],[f45,f21]) ).
fof(f50,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X0,multiply(X1,X1)))),
inference(superposition,[],[f24,f13]) ).
fof(f98,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,X1)) = multiply(multiply(X0,multiply(X0,X1)),X1),
inference(superposition,[],[f13,f14]) ).
fof(f106,plain,
! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1))),
inference(forward_demodulation,[],[f98,f14]) ).
fof(f194,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(superposition,[],[f20,f2]) ).
fof(f421,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(superposition,[],[f20,f8]) ).
fof(f424,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(backward_demodulation,[],[f50,f421]) ).
fof(f437,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(superposition,[],[f21,f8]) ).
fof(f448,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f437,f2]) ).
fof(f462,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f448,f20]) ).
fof(f474,plain,
! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0,
inference(superposition,[],[f20,f448]) ).
fof(f477,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(forward_demodulation,[],[f474,f21]) ).
fof(f561,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X2,X0,X1),
inference(superposition,[],[f27,f26]) ).
fof(f672,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,[],[f462,f24]) ).
fof(f700,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f672,f10]) ).
fof(f715,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,[],[f28,f700]) ).
fof(f720,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,[],[f43,f700]) ).
fof(f721,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,[],[f46,f700]) ).
fof(f746,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,[],[f106,f700]) ).
fof(f751,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,[],[f746,f700]) ).
fof(f772,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,[],[f721,f21]) ).
fof(f773,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,[],[f720,f21]) ).
fof(f778,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,[],[f715,f700]) ).
fof(f783,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,[],[f751,f11]) ).
fof(f800,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,[],[f772,f700]) ).
fof(f801,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,[],[f773,f700]) ).
fof(f803,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,[],[f778,f21]) ).
fof(f808,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,[],[f783,f21]) ).
fof(f824,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,[],[f800,f21]) ).
fof(f825,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,[],[f801,f21]) ).
fof(f830,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,[],[f808,f424]) ).
fof(f844,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,[],[f830,f6]) ).
fof(f856,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,[],[f844,f2]) ).
fof(f1021,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,[],[f448,f856]) ).
fof(f1023,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,X1),X1),
inference(forward_demodulation,[],[f1021,f8]) ).
fof(f1179,plain,
! [X0,X1] : additive_inverse(additive_identity) = associator(X0,multiply(X1,X0),X1),
inference(superposition,[],[f27,f1023]) ).
fof(f1184,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X1,X0),X1),
inference(forward_demodulation,[],[f1179,f19]) ).
fof(f1213,plain,
! [X2,X0,X1] : additive_identity = associator(X1,add(multiply(X0,X1),multiply(X2,X1)),add(X0,X2)),
inference(superposition,[],[f1184,f12]) ).
fof(f1515,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cx,multiply(cy,cx),cz),associator(multiply(cz,cx),cy,cx))),
inference(superposition,[],[f803,f561]) ).
fof(f1541,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),add(associator(cx,multiply(cy,cx),cz),associator(cx,multiply(cz,cx),cy))),
inference(superposition,[],[f1515,f561]) ).
fof(f1574,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f477,f21]) ).
fof(f1604,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,[],[f824,f1574]) ).
fof(f1605,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,[],[f825,f1574]) ).
fof(f1613,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(associator(X3,X0,X1),associator(X3,X0,X2)),
inference(forward_demodulation,[],[f1605,f1574]) ).
fof(f1614,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f1604,f1574]) ).
fof(f1623,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,add(multiply(X0,X1),multiply(X2,X1)),X0),associator(X1,add(multiply(X0,X1),multiply(X2,X1)),X2)),
inference(backward_demodulation,[],[f1213,f1613]) ).
fof(f1634,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,add(multiply(X0,X1),multiply(X2,X1)),X0),add(associator(X1,multiply(X0,X1),X2),associator(X1,multiply(X2,X1),X2))),
inference(forward_demodulation,[],[f1623,f1614]) ).
fof(f1642,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,add(multiply(X0,X1),multiply(X2,X1)),X0),add(associator(X1,multiply(X0,X1),X2),additive_identity)),
inference(forward_demodulation,[],[f1634,f1184]) ).
fof(f1649,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,add(multiply(X0,X1),multiply(X2,X1)),X0),associator(X1,multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f1642,f194]) ).
fof(f1656,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X1,multiply(X0,X1),X0),associator(X1,multiply(X2,X1),X0)),associator(X1,multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f1649,f1614]) ).
fof(f1660,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,multiply(X0,X1),X0),add(associator(X1,multiply(X2,X1),X0),associator(X1,multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1656,f21]) ).
fof(f1664,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X1,multiply(X2,X1),X0),associator(X1,multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1660,f1184]) ).
fof(f1668,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,multiply(X2,X1),X0),associator(X1,multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f1664,f2]) ).
fof(f1672,plain,
multiply(cz,multiply(cx,multiply(cy,cx))) != add(multiply(cz,multiply(cx,multiply(cy,cx))),additive_identity),
inference(backward_demodulation,[],[f1541,f1668]) ).
fof(f1673,plain,
$false,
inference(forward_subsumption_resolution,[],[f1672,f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG027-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n010.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 22:59:47 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 118.27/17.68 % (1401931)Detected a unit-equality problem, will run specialized UEQ schedule.
% 118.27/17.68 % (1401942)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1114452716:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 118.27/17.68 % (1401938)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2494823957:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 118.27/17.68 % (1401941)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4198083:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 118.27/17.68 % (1401937)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=3243035029:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 118.27/17.68 % (1401939)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3497807693:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 118.27/17.68 % (1401940)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=45553882:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 118.27/17.68 % (1401936)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=4059501177:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 118.27/17.68 % (1401939)Instruction limit reached!
% 118.27/17.68 % (1401939)------------------------------
% 118.27/17.68 % (1401939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401939)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401939)Termination reason: Instruction limit
% 118.27/17.68 % (1401939)Termination phase: Saturation
% 118.27/17.68 % (1401939)Time elapsed: 0.125 s
% 118.27/17.68 % (1401939)Peak memory usage: 89 MB
% 118.27/17.68 % (1401939)Instructions burned: 137 (million)
% 118.27/17.68 % (1401940)Instruction limit reached!
% 118.27/17.68 % (1401940)------------------------------
% 118.27/17.68 % (1401940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401940)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401940)Termination reason: Instruction limit
% 118.27/17.68 % (1401940)Termination phase: Saturation
% 118.27/17.68 % (1401940)Time elapsed: 0.179 s
% 118.27/17.68 % (1401940)Peak memory usage: 89 MB
% 118.27/17.68 % (1401940)Instructions burned: 182 (million)
% 118.27/17.68 % (1401941)Instruction limit reached!
% 118.27/17.68 % (1401941)------------------------------
% 118.27/17.68 % (1401941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401941)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401941)Termination reason: Instruction limit
% 118.27/17.68 % (1401941)Termination phase: Saturation
% 118.27/17.68 % (1401941)Time elapsed: 0.260 s
% 118.27/17.68 % (1401941)Peak memory usage: 91 MB
% 118.27/17.68 % (1401941)Instructions burned: 257 (million)
% 118.27/17.68 % (1401950)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=517573084:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 118.27/17.68 % (1401951)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1712098221:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 118.27/17.68 % (1401942)Instruction limit reached!
% 118.27/17.68 % (1401942)------------------------------
% 118.27/17.68 % (1401942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401942)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401942)Termination reason: Instruction limit
% 118.27/17.68 % (1401942)Termination phase: Saturation
% 118.27/17.68 % (1401942)Time elapsed: 0.560 s
% 118.27/17.68 % (1401942)Peak memory usage: 100 MB
% 118.27/17.68 % (1401942)Instructions burned: 1188 (million)
% 118.27/17.68 % (1401952)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3738453916:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 118.27/17.68 % (1401952)Instruction limit reached!
% 118.27/17.68 % (1401952)------------------------------
% 118.27/17.68 % (1401952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401952)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401952)Termination reason: Instruction limit
% 118.27/17.68 % (1401952)Termination phase: Saturation
% 118.27/17.68 % (1401952)Time elapsed: 0.105 s
% 118.27/17.68 % (1401952)Peak memory usage: 90 MB
% 118.27/17.68 % (1401952)Instructions burned: 216 (million)
% 118.27/17.68 % (1401955)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=3131793443:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 118.27/17.68 % (1401957)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=3766650543:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 118.27/17.68 % (1401955)Instruction limit reached!
% 118.27/17.68 % (1401955)------------------------------
% 118.27/17.68 % (1401955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401955)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401955)Termination reason: Instruction limit
% 118.27/17.68 % (1401955)Termination phase: Saturation
% 118.27/17.68 % (1401955)Time elapsed: 0.222 s
% 118.27/17.68 % (1401955)Peak memory usage: 94 MB
% 118.27/17.68 % (1401955)Instructions burned: 318 (million)
% 118.27/17.68 % (1401960)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1503351943:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 118.27/17.68 % (1401950)Instruction limit reached!
% 118.27/17.68 % (1401950)------------------------------
% 118.27/17.68 % (1401950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401950)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401950)Termination reason: Instruction limit
% 118.27/17.68 % (1401950)Termination phase: Saturation
% 118.27/17.68 % (1401950)Time elapsed: 2.181 s
% 118.27/17.68 % (1401950)Peak memory usage: 141 MB
% 118.27/17.68 % (1401950)Instructions burned: 2051 (million)
% 118.27/17.68 % (1401962)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1275816896:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 118.27/17.68 % (1401960)Instruction limit reached!
% 118.27/17.68 % (1401960)------------------------------
% 118.27/17.68 % (1401960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401960)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401960)Termination reason: Instruction limit
% 118.27/17.68 % (1401960)Termination phase: Saturation
% 118.27/17.68 % (1401960)Time elapsed: 3.082 s
% 118.27/17.68 % (1401960)Peak memory usage: 127 MB
% 118.27/17.68 % (1401960)Instructions burned: 2836 (million)
% 118.27/17.68 % (1401964)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=1655480497:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2953 on theBenchmark for (2953ds/11832Mi)
% 118.27/17.68 % (1401951)Instruction limit reached!
% 118.27/17.68 % (1401951)------------------------------
% 118.27/17.68 % (1401951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401951)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401951)Termination reason: Instruction limit
% 118.27/17.68 % (1401951)Termination phase: Saturation
% 118.27/17.68 % (1401951)Time elapsed: 4.894 s
% 118.27/17.68 % (1401951)Peak memory usage: 168 MB
% 118.27/17.68 % (1401951)Instructions burned: 4949 (million)
% 118.27/17.68 % (1401966)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=1850932557:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 118.27/17.68 % (1401957)Instruction limit reached!
% 118.27/17.68 % (1401957)------------------------------
% 118.27/17.68 % (1401957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401957)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401957)Termination reason: Instruction limit
% 118.27/17.68 % (1401957)Termination phase: Saturation
% 118.27/17.68 % (1401957)Time elapsed: 6.557 s
% 118.27/17.68 % (1401957)Peak memory usage: 236 MB
% 118.27/17.68 % (1401957)Instructions burned: 12125 (million)
% 118.27/17.68 % (1401972)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=2094643687:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2922 on theBenchmark for (2922ds/6225Mi)
% 118.27/17.68 % (1401966)Instruction limit reached!
% 118.27/17.68 % (1401966)------------------------------
% 118.27/17.68 % (1401966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401966)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401966)Termination reason: Instruction limit
% 118.27/17.68 % (1401966)Termination phase: Saturation
% 118.27/17.68 % (1401966)Time elapsed: 2.257 s
% 118.27/17.68 % (1401966)Peak memory usage: 139 MB
% 118.27/17.68 % (1401966)Instructions burned: 2279 (million)
% 118.27/17.68 % (1401974)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1569524309:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2918 on theBenchmark for (2918ds/21755Mi)
% 118.27/17.68 % (1401972)Instruction limit reached!
% 118.27/17.68 % (1401972)------------------------------
% 118.27/17.68 % (1401972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401972)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401972)Termination reason: Instruction limit
% 118.27/17.68 % (1401972)Termination phase: Saturation
% 118.27/17.68 % (1401972)Time elapsed: 3.267 s
% 118.27/17.68 % (1401972)Peak memory usage: 160 MB
% 118.27/17.68 % (1401972)Instructions burned: 6225 (million)
% 118.27/17.68 % (1401976)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=1081474246:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2887 on theBenchmark for (2887ds/16427Mi)
% 118.27/17.68 % (1401964)Instruction limit reached!
% 118.27/17.68 % (1401964)------------------------------
% 118.27/17.68 % (1401964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401964)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401964)Termination reason: Instruction limit
% 118.27/17.68 % (1401964)Termination phase: Saturation
% 118.27/17.68 % (1401964)Time elapsed: 10.577 s
% 118.27/17.68 % (1401964)Peak memory usage: 233 MB
% 118.27/17.68 % (1401964)Instructions burned: 11833 (million)
% 118.27/17.68 % (1402131)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=3764261341:i=9356:fgj=on:bd=preordered:av=off_2844 on theBenchmark for (2844ds/9356Mi)
% 118.27/17.68 % (1401962)Instruction limit reached!
% 118.27/17.68 % (1401962)------------------------------
% 118.27/17.68 % (1401962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.27/17.68 % (1401962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.27/17.68 % (1401962)CaDiCaL version: 2.1.3
% 118.27/17.68 % (1401962)Termination reason: Instruction limit
% 118.27/17.68 % (1401962)Termination phase: Saturation
% 118.27/17.68 % (1401962)Time elapsed: 13.020 s
% 118.27/17.68 % (1401962)Peak memory usage: 254 MB
% 118.27/17.68 % (1401962)Instructions burned: 14535 (million)
% 118.27/17.68 % (1402133)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=585929709:i=2070:kws=inv_precedence:slsql=off:bd=all_2837 on theBenchmark for (2837ds/2070Mi)
% 118.27/17.68 % (1402131)First to succeed.
% 118.27/17.68 % (1402131)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1401931"
% 118.27/17.68 % (1402131)Refutation found. Thanks to Tanya!
% 118.27/17.68 % SZS status Unsatisfiable for theBenchmark
% 118.27/17.68 % SZS output start Proof for theBenchmark
% See solution above
% 119.36/17.88 % (1402131)------------------------------
% 119.36/17.88 % (1402131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.36/17.88 % (1402131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.36/17.88 % (1402131)CaDiCaL version: 2.1.3
% 119.36/17.88 % (1402131)Termination reason: Refutation
% 119.36/17.88 % (1402131)Time elapsed: 0.752 s
% 119.36/17.88 % (1402131)Peak memory usage: 130 MB
% 119.36/17.88 % (1402131)Instructions burned: 1148 (million)
% 119.36/17.88 % (1402131)------------------------------
% 119.36/17.88 % (1402131)------------------------------
% 119.36/17.88 % (1401931)Success in time 16.711 s
% 119.36/17.88 % Vampire exiting
%------------------------------------------------------------------------------