%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG027-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10.89s 2.16s
% Output : Refutation 11.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 104 unt; 0 def)
% Number of atoms : 108 ( 107 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 27 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 216 ( 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f4,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f5,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_inverse) ).
fof(f7,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_of_inverses) ).
fof(f9,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_over_add1) ).
fof(f12,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
fof(f19,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f20,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(f21,axiom,
! [X2,X0,X1] :
( add(X0,X1) != add(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation_for_addition) ).
fof(f23,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(f24,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_law) ).
fof(f25,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X1,X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator_skew_symmetry1) ).
fof(f26,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X2,X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator_skew_symmetry2) ).
fof(f27,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(f28,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f7,f19]) ).
fof(f29,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f23,f19]) ).
fof(f81,plain,
! [X0] : add(multiply(cz,multiply(cx,multiply(cy,cx))),X0) != add(multiply(multiply(multiply(cz,cx),cy),cx),X0),
inference(unit_resulting_resolution,[],[f21,f27]) ).
fof(f93,plain,
! [X0,X1] :
( additive_identity != add(X1,additive_inverse(X0))
| X0 = X1 ),
inference(superposition,[],[f21,f28]) ).
fof(f121,plain,
! [X0] : add(multiply(cz,multiply(cx,multiply(cy,cx))),X0) != add(X0,multiply(multiply(multiply(cz,cx),cy),cx)),
inference(superposition,[],[f81,f19]) ).
fof(f131,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X2),associator(X1,X0,X2)),
inference(superposition,[],[f28,f25]) ).
fof(f144,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X1,X2,X0),
inference(superposition,[],[f25,f26]) ).
fof(f214,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f20,f28]) ).
fof(f216,plain,
! [X2,X0,X1] : add(X1,add(X2,X0)) = add(add(X2,X1),X0),
inference(superposition,[],[f20,f19]) ).
fof(f224,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f19,f20]) ).
fof(f234,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f214,f1]) ).
fof(f468,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),multiply(multiply(multiply(X0,X0),X1),X2)),
inference(superposition,[],[f29,f13]) ).
fof(f471,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2))),multiply(multiply(X0,multiply(X1,X1)),X2)),
inference(superposition,[],[f29,f12]) ).
fof(f472,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X0,X2) = add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),multiply(multiply(X0,multiply(X1,X0)),X2)),
inference(superposition,[],[f29,f24]) ).
fof(f474,plain,
! [X0,X1] : associator(X0,X0,X1) = add(additive_inverse(multiply(X0,multiply(X0,X1))),multiply(X0,multiply(X0,X1))),
inference(superposition,[],[f29,f13]) ).
fof(f476,plain,
associator(multiply(cz,cx),cy,cx) != add(multiply(cz,multiply(cx,multiply(cy,cx))),additive_inverse(multiply(multiply(cz,cx),multiply(cy,cx)))),
inference(superposition,[],[f121,f29]) ).
fof(f478,plain,
! [X2,X0,X1] : add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,X0)))),additive_inverse(multiply(multiply(X1,X2),X0))) = additive_inverse(associator(X1,X2,X0)),
inference(superposition,[],[f8,f29]) ).
fof(f488,plain,
! [X2,X0,X1] : add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,X0)))),additive_inverse(multiply(multiply(X1,X2),X0))) = associator(X0,X2,X1),
inference(forward_demodulation,[],[f478,f26]) ).
fof(f490,plain,
add(multiply(cz,multiply(cx,multiply(cy,cx))),additive_inverse(multiply(multiply(cz,cx),multiply(cy,cx)))) != associator(cx,multiply(cz,cx),cy),
inference(forward_demodulation,[],[f476,f144]) ).
fof(f492,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))),
inference(forward_demodulation,[],[f474,f19]) ).
fof(f494,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(multiply(X0,X1),multiply(X0,X2))),multiply(multiply(X0,multiply(X1,X0)),X2)) = associator(X0,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f472,f144]) ).
fof(f495,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2))),multiply(multiply(X0,multiply(X1,X1)),X2)) = associator(X1,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f471,f144]) ).
fof(f498,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),multiply(multiply(X0,multiply(X0,X1)),X2)),
inference(forward_demodulation,[],[f468,f13]) ).
fof(f508,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = add(multiply(X1,multiply(X2,X0)),additive_inverse(multiply(multiply(X1,X2),X0))),
inference(forward_demodulation,[],[f488,f9]) ).
fof(f511,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f492,f28]) ).
fof(f522,plain,
associator(cx,multiply(cz,cx),cy) != associator(multiply(cy,cx),cx,cz),
inference(backward_demodulation,[],[f490,f508]) ).
fof(f533,plain,
associator(cx,multiply(cz,cx),cy) != associator(cx,cz,multiply(cy,cx)),
inference(forward_demodulation,[],[f522,f144]) ).
fof(f697,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = add(multiply(X1,multiply(X2,X0)),associator(X1,X2,X0)),
inference(superposition,[],[f234,f29]) ).
fof(f699,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[],[f234,f19]) ).
fof(f719,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = add(associator(X1,X2,X0),multiply(X1,multiply(X2,X0))),
inference(forward_demodulation,[],[f697,f19]) ).
fof(f770,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))),multiply(multiply(X0,multiply(X1,X1)),X2)),
inference(backward_demodulation,[],[f495,f719]) ).
fof(f772,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),multiply(multiply(X0,multiply(X1,X0)),X2)),
inference(backward_demodulation,[],[f494,f719]) ).
fof(f780,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),multiply(X0,multiply(multiply(X0,X1),X2)))),
inference(backward_demodulation,[],[f498,f719]) ).
fof(f782,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),multiply(X0,add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f780,f719]) ).
fof(f790,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),add(associator(X0,multiply(X1,X0),X2),multiply(X0,multiply(multiply(X1,X0),X2)))),
inference(forward_demodulation,[],[f772,f719]) ).
fof(f791,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))),add(associator(X0,multiply(X1,X1),X2),multiply(X0,multiply(multiply(X1,X1),X2)))),
inference(forward_demodulation,[],[f770,f719]) ).
fof(f835,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))),add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f782,f10]) ).
fof(f842,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),add(associator(X0,multiply(X1,X0),X2),multiply(X0,add(associator(X1,X0,X2),multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f790,f719]) ).
fof(f843,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))),add(associator(X0,multiply(X1,X1),X2),multiply(X0,add(associator(X1,X1,X2),multiply(X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f791,f719]) ).
fof(f884,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2))))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f835,f19]) ).
fof(f891,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f842,f10]) ).
fof(f892,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))),add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f843,f10]) ).
fof(f924,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f884,f20]) ).
fof(f930,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f891,f19]) ).
fof(f931,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f892,f19]) ).
fof(f956,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),add(multiply(X0,multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f924,f20]) ).
fof(f962,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(add(multiply(X0,associator(X1,X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f930,f20]) ).
fof(f963,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(add(multiply(X0,associator(X1,X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f931,f20]) ).
fof(f987,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),additive_identity)),
inference(forward_demodulation,[],[f956,f28]) ).
fof(f992,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),add(multiply(X0,multiply(X1,multiply(X0,X2))),additive_inverse(add(associator(X0,X1,multiply(X0,X2)),multiply(X0,multiply(X1,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f962,f20]) ).
fof(f993,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f963,f20]) ).
fof(f1009,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_identity,add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2)))),
inference(forward_demodulation,[],[f987,f224]) ).
fof(f1014,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),add(multiply(X0,multiply(X1,multiply(X0,X2))),add(additive_inverse(associator(X0,X1,multiply(X0,X2))),additive_inverse(multiply(X0,multiply(X1,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f992,f8]) ).
fof(f1015,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),add(multiply(X0,multiply(X1,multiply(X1,X2))),add(additive_inverse(associator(X0,X1,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f993,f8]) ).
fof(f1022,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1009,f1]) ).
fof(f1027,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(multiply(X0,associator(X1,X0,X2)),additive_inverse(associator(X0,X1,multiply(X0,X2))))),
inference(forward_demodulation,[],[f1014,f699]) ).
fof(f1028,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),additive_inverse(associator(X0,X1,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1015,f699]) ).
fof(f1039,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(additive_inverse(associator(X0,X1,multiply(X0,X2))),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1027,f19]) ).
fof(f1040,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),associator(multiply(X1,X2),X1,X0))),
inference(forward_demodulation,[],[f1028,f26]) ).
fof(f1047,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(associator(multiply(X0,X2),X1,X0),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1039,f26]) ).
fof(f1048,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),associator(X1,X0,multiply(X1,X2)))),
inference(forward_demodulation,[],[f1040,f144]) ).
fof(f1052,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),add(associator(X0,multiply(X0,X2),X1),multiply(X0,associator(X1,X0,X2)))),
inference(forward_demodulation,[],[f1047,f144]) ).
fof(f1053,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,additive_identity),associator(X1,X0,multiply(X1,X2)))),
inference(forward_demodulation,[],[f1048,f511]) ).
fof(f1056,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),add(additive_identity,associator(X1,X0,multiply(X1,X2)))),
inference(forward_demodulation,[],[f1053,f5]) ).
fof(f1058,plain,
! [X2,X0,X1] : associator(X1,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X1),X2),associator(X1,X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f1056,f1]) ).
fof(f1060,plain,
associator(cx,multiply(cz,cx),cy) != add(associator(cy,multiply(cx,cx),cz),associator(cx,cy,multiply(cx,cz))),
inference(backward_demodulation,[],[f533,f1058]) ).
fof(f1112,plain,
associator(cx,multiply(cz,cx),cy) != add(associator(cx,cy,multiply(cx,cz)),associator(cy,multiply(cx,cx),cz)),
inference(forward_demodulation,[],[f1060,f19]) ).
fof(f1139,plain,
associator(cx,multiply(cz,cx),cy) != add(associator(cx,cy,multiply(cx,cz)),associator(multiply(cx,cx),cz,cy)),
inference(forward_demodulation,[],[f1112,f144]) ).
fof(f1248,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),additive_inverse(add(associator(cx,cy,multiply(cx,cz)),associator(multiply(cx,cx),cz,cy)))),
inference(unit_resulting_resolution,[],[f93,f1139]) ).
fof(f1269,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(additive_inverse(associator(cx,cy,multiply(cx,cz))),additive_inverse(associator(multiply(cx,cx),cz,cy)))),
inference(forward_demodulation,[],[f1248,f8]) ).
fof(f1281,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(additive_inverse(associator(cx,cy,multiply(cx,cz))),associator(cy,cz,multiply(cx,cx)))),
inference(forward_demodulation,[],[f1269,f26]) ).
fof(f1293,plain,
additive_identity != add(associator(cy,cz,multiply(cx,cx)),add(associator(cx,multiply(cz,cx),cy),additive_inverse(associator(cx,cy,multiply(cx,cz))))),
inference(forward_demodulation,[],[f1281,f224]) ).
fof(f1303,plain,
additive_identity != add(associator(cy,cz,multiply(cx,cx)),add(associator(cx,multiply(cz,cx),cy),associator(multiply(cx,cz),cy,cx))),
inference(forward_demodulation,[],[f1293,f26]) ).
fof(f1313,plain,
additive_identity != add(add(associator(cx,multiply(cz,cx),cy),associator(multiply(cx,cz),cy,cx)),associator(cy,cz,multiply(cx,cx))),
inference(forward_demodulation,[],[f1303,f19]) ).
fof(f1321,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(associator(multiply(cx,cz),cy,cx),associator(cy,cz,multiply(cx,cx)))),
inference(forward_demodulation,[],[f1313,f20]) ).
fof(f1328,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(associator(multiply(cx,cz),cy,cx),associator(cz,multiply(cx,cx),cy))),
inference(forward_demodulation,[],[f1321,f144]) ).
fof(f1335,plain,
additive_identity != add(associator(cz,multiply(cx,cx),cy),add(associator(cx,multiply(cz,cx),cy),associator(multiply(cx,cz),cy,cx))),
inference(forward_demodulation,[],[f1328,f224]) ).
fof(f1342,plain,
additive_identity != add(associator(cz,multiply(cx,cx),cy),add(associator(cx,multiply(cz,cx),cy),associator(cx,multiply(cx,cz),cy))),
inference(forward_demodulation,[],[f1335,f144]) ).
fof(f1347,plain,
additive_identity != add(add(associator(cx,multiply(cz,cx),cy),associator(cx,multiply(cx,cz),cy)),associator(cz,multiply(cx,cx),cy)),
inference(forward_demodulation,[],[f1342,f19]) ).
fof(f1351,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(associator(cx,multiply(cx,cz),cy),associator(cz,multiply(cx,cx),cy))),
inference(forward_demodulation,[],[f1347,f20]) ).
fof(f1355,plain,
additive_identity != add(associator(cx,multiply(cz,cx),cy),add(associator(cx,multiply(cx,cz),cy),associator(multiply(cx,cx),cy,cz))),
inference(forward_demodulation,[],[f1351,f144]) ).
fof(f1728,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,X2,X0),associator(X1,X0,X2)),
inference(superposition,[],[f131,f144]) ).
fof(f1805,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X2,X1)),
inference(superposition,[],[f20,f216]) ).
fof(f1820,plain,
additive_identity != add(associator(cx,multiply(cx,cz),cy),add(associator(cx,multiply(cz,cx),cy),associator(multiply(cx,cx),cy,cz))),
inference(backward_demodulation,[],[f1355,f1805]) ).
fof(f3622,plain,
! [X2,X0,X1] : associator(multiply(X1,X1),X2,X0) = add(associator(X1,multiply(X1,X2),X0),multiply(X1,associator(X0,X1,X2))),
inference(superposition,[],[f1022,f144]) ).
fof(f3660,plain,
! [X2,X0,X1] : associator(X0,X2,multiply(X0,X1)) = add(associator(X0,multiply(X1,X0),X2),associator(multiply(X0,X0),X2,X1)),
inference(backward_demodulation,[],[f1052,f3622]) ).
fof(f3678,plain,
additive_identity != add(associator(cx,multiply(cx,cz),cy),associator(cx,cy,multiply(cx,cz))),
inference(backward_demodulation,[],[f1820,f3660]) ).
fof(f3692,plain,
$false,
inference(forward_subsumption_resolution,[],[f3678,f1728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG027-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:01:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 7.75/1.97 % (2834104)Input is clausal, will run a generic CNF schedule.
% 7.75/1.97 % (2834114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=670403996:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.75/1.97 % (2834112)lrs+10_1_sil=8000:sp=occurrence:random_seed=623349372:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.75/1.97 % (2834109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2808393058:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.75/1.97 % (2834113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3612299095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.75/1.97 % (2834115)dis-21_1_sil=8000:lcm=predicate:random_seed=4152703222:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.75/1.97 % (2834110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2386106401:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.75/1.97 % (2834111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3270266212:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.75/1.97 % (2834115)Refutation not found, incomplete strategy
% 7.75/1.97 % (2834115)------------------------------
% 7.75/1.97 % (2834115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.97 % (2834115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.97 % (2834115)CaDiCaL version: 2.1.3
% 7.75/1.97 % (2834115)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.97 % (2834115)Time elapsed: 0.002 s
% 7.75/1.97 % (2834115)Peak memory usage: 88 MB
% 7.75/1.97 % (2834115)Instructions burned: 1 (million)
% 7.75/1.97 % (2834112)Instruction limit reached!
% 7.75/1.97 % (2834112)------------------------------
% 7.75/1.97 % (2834112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.97 % (2834112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.97 % (2834112)CaDiCaL version: 2.1.3
% 7.75/1.97 % (2834112)Termination reason: Instruction limit
% 7.75/1.97 % (2834112)Termination phase: Saturation
% 7.75/1.97 % (2834112)Time elapsed: 0.056 s
% 7.75/1.97 % (2834112)Peak memory usage: 88 MB
% 7.75/1.97 % (2834112)Instructions burned: 107 (million)
% 7.75/1.97 % (2834113)Instruction limit reached!
% 7.75/1.97 % (2834113)------------------------------
% 7.75/1.97 % (2834113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.97 % (2834113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.97 % (2834113)CaDiCaL version: 2.1.3
% 7.75/1.97 % (2834113)Termination reason: Instruction limit
% 7.75/1.97 % (2834113)Termination phase: Saturation
% 7.75/1.97 % (2834113)Time elapsed: 0.068 s
% 7.75/1.97 % (2834113)Peak memory usage: 89 MB
% 7.75/1.97 % (2834113)Instructions burned: 115 (million)
% 7.75/1.97 % (2834114)Instruction limit reached!
% 7.75/1.97 % (2834114)------------------------------
% 7.75/1.97 % (2834114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.97 % (2834114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.97 % (2834114)CaDiCaL version: 2.1.3
% 7.75/1.97 % (2834114)Termination reason: Instruction limit
% 7.75/1.97 % (2834114)Termination phase: Saturation
% 7.75/1.97 % (2834114)Time elapsed: 0.102 s
% 7.75/1.97 % (2834114)Peak memory usage: 89 MB
% 7.75/1.97 % (2834114)Instructions burned: 181 (million)
% 7.75/1.97 % (2834123)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2715788692:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.75/1.97 % (2834123)Refutation not found, incomplete strategy
% 7.75/1.97 % (2834123)------------------------------
% 7.75/1.97 % (2834123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.97 % (2834123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.97 % (2834123)CaDiCaL version: 2.1.3
% 7.75/1.97 % (2834123)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.97 % (2834123)Time elapsed: 0.001 s
% 7.75/1.97 % (2834123)Peak memory usage: 88 MB
% 7.75/1.97 % (2834123)Instructions burned: 1 (million)
% 7.75/1.97 % (2834124)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2941653885:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.89/2.16 % (2834125)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=297715676:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.89/2.16 % (2834115)------------------------------
% 10.89/2.16 % (2834115)------------------------------
% 10.89/2.16 % (2834125)Refutation not found, incomplete strategy
% 10.89/2.16 % (2834125)------------------------------
% 10.89/2.16 % (2834125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834125)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834125)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.16 % (2834125)Time elapsed: 0.001 s
% 10.89/2.16 % (2834125)Peak memory usage: 87 MB
% 10.89/2.16 % (2834125)Instructions burned: 1 (million)
% 10.89/2.16 % (2834124)Instruction limit reached!
% 10.89/2.16 % (2834124)------------------------------
% 10.89/2.16 % (2834124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834124)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834124)Termination reason: Instruction limit
% 10.89/2.16 % (2834124)Termination phase: Saturation
% 10.89/2.16 % (2834124)Time elapsed: 0.109 s
% 10.89/2.16 % (2834124)Peak memory usage: 89 MB
% 10.89/2.16 % (2834124)Instructions burned: 189 (million)
% 10.89/2.16 % (2834129)lrs+10_64_to=lpo:sil=8000:random_seed=2449378960:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.89/2.16 % (2834125)------------------------------
% 10.89/2.16 % (2834125)------------------------------
% 10.89/2.16 % (2834123)------------------------------
% 10.89/2.16 % (2834123)------------------------------
% 10.89/2.16 % (2834130)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4274538958:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.89/2.16 % (2834129)Instruction limit reached!
% 10.89/2.16 % (2834129)------------------------------
% 10.89/2.16 % (2834129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834129)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834129)Termination reason: Instruction limit
% 10.89/2.16 % (2834129)Termination phase: Saturation
% 10.89/2.16 % (2834129)Time elapsed: 0.075 s
% 10.89/2.16 % (2834129)Peak memory usage: 88 MB
% 10.89/2.16 % (2834129)Instructions burned: 126 (million)
% 10.89/2.16 % (2834132)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1694715389:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.89/2.16 % (2834132)Instruction limit reached!
% 10.89/2.16 % (2834132)------------------------------
% 10.89/2.16 % (2834132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834132)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834132)Termination reason: Instruction limit
% 10.89/2.16 % (2834132)Termination phase: Saturation
% 10.89/2.16 % (2834132)Time elapsed: 0.051 s
% 10.89/2.16 % (2834132)Peak memory usage: 90 MB
% 10.89/2.16 % (2834132)Instructions burned: 160 (million)
% 10.89/2.16 % (2834133)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1491700727:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.89/2.16 % (2834130)Instruction limit reached!
% 10.89/2.16 % (2834130)------------------------------
% 10.89/2.16 % (2834130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834130)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834130)Termination reason: Instruction limit
% 10.89/2.16 % (2834130)Termination phase: Saturation
% 10.89/2.16 % (2834130)Time elapsed: 0.117 s
% 10.89/2.16 % (2834130)Peak memory usage: 89 MB
% 10.89/2.16 % (2834130)Instructions burned: 195 (million)
% 10.89/2.16 % (2834135)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=738206127:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.89/2.16 % (2834137)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1336207656:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.89/2.16 % (2834137)Refutation not found, incomplete strategy
% 10.89/2.16 % (2834137)------------------------------
% 10.89/2.16 % (2834137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834137)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834137)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.16 % (2834137)Time elapsed: 0.001 s
% 10.89/2.16 % (2834137)Peak memory usage: 88 MB
% 10.89/2.16 % (2834137)Instructions burned: 1 (million)
% 10.89/2.16 % (2834135)Instruction limit reached!
% 10.89/2.16 % (2834135)------------------------------
% 10.89/2.16 % (2834135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834135)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834135)Termination reason: Instruction limit
% 10.89/2.16 % (2834135)Termination phase: Saturation
% 10.89/2.16 % (2834135)Time elapsed: 0.060 s
% 10.89/2.16 % (2834135)Peak memory usage: 88 MB
% 10.89/2.16 % (2834135)Instructions burned: 106 (million)
% 10.89/2.16 % (2834139)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2174279166:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.89/2.16 % (2834137)------------------------------
% 10.89/2.16 % (2834137)------------------------------
% 10.89/2.16 % (2834142)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=923972046:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.89/2.16 % (2834139)Instruction limit reached!
% 10.89/2.16 % (2834139)------------------------------
% 10.89/2.16 % (2834139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834139)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834139)Termination reason: Instruction limit
% 10.89/2.16 % (2834139)Termination phase: Saturation
% 10.89/2.16 % (2834139)Time elapsed: 0.138 s
% 10.89/2.16 % (2834139)Peak memory usage: 90 MB
% 10.89/2.16 % (2834139)Instructions burned: 243 (million)
% 10.89/2.16 % (2834144)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=562615210:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 10.89/2.16 % (2834144)Instruction limit reached!
% 10.89/2.16 % (2834144)------------------------------
% 10.89/2.16 % (2834144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834144)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834144)Termination reason: Instruction limit
% 10.89/2.16 % (2834144)Termination phase: Saturation
% 10.89/2.16 % (2834144)Time elapsed: 0.041 s
% 10.89/2.16 % (2834144)Peak memory usage: 88 MB
% 10.89/2.16 % (2834144)Instructions burned: 135 (million)
% 10.89/2.16 % (2834147)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3699924147:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.89/2.16 % (2834148)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4104486202:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 10.89/2.16 % (2834148)Instruction limit reached!
% 10.89/2.16 % (2834148)------------------------------
% 10.89/2.16 % (2834148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834148)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834148)Termination reason: Instruction limit
% 10.89/2.16 % (2834148)Termination phase: Saturation
% 10.89/2.16 % (2834148)Time elapsed: 0.064 s
% 10.89/2.16 % (2834148)Peak memory usage: 90 MB
% 10.89/2.16 % (2834148)Instructions burned: 191 (million)
% 10.89/2.16 % (2834151)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3859668689:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 10.89/2.16 % (2834147)First to succeed.
% 10.89/2.16 % (2834147)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2834104"
% 10.89/2.16 % (2834151)Instruction limit reached!
% 10.89/2.16 % (2834151)------------------------------
% 10.89/2.16 % (2834151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834151)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834151)Termination reason: Instruction limit
% 10.89/2.16 % (2834151)Termination phase: Saturation
% 10.89/2.16 % (2834151)Time elapsed: 0.084 s
% 10.89/2.16 % (2834151)Peak memory usage: 91 MB
% 10.89/2.16 % (2834151)Instructions burned: 265 (million)
% 10.89/2.16 % (2834153)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=82009602:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 10.89/2.16 % (2834153)Instruction limit reached!
% 10.89/2.16 % (2834153)------------------------------
% 10.89/2.16 % (2834153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.16 % (2834153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.16 % (2834153)CaDiCaL version: 2.1.3
% 10.89/2.16 % (2834153)Termination reason: Instruction limit
% 10.89/2.16 % (2834153)Termination phase: Saturation
% 10.89/2.16 % (2834153)Time elapsed: 0.051 s
% 10.89/2.16 % (2834153)Peak memory usage: 89 MB
% 10.89/2.16 % (2834153)Instructions burned: 158 (million)
% 10.89/2.16 % (2834147)Refutation found. Thanks to Tanya!
% 10.89/2.16 % SZS status Unsatisfiable for theBenchmark
% 10.89/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 11.30/2.36 % (2834147)------------------------------
% 11.30/2.36 % (2834147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/2.36 % (2834147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.36 % (2834147)CaDiCaL version: 2.1.3
% 11.30/2.36 % (2834147)Termination reason: Refutation
% 11.30/2.36 % (2834147)Time elapsed: 0.169 s
% 11.30/2.36 % (2834147)Peak memory usage: 90 MB
% 11.30/2.36 % (2834147)Instructions burned: 296 (million)
% 11.30/2.36 % (2834147)------------------------------
% 11.30/2.36 % (2834147)------------------------------
% 11.30/2.36 % (2834104)Success in time 1.545 s
% 11.30/2.36 % Vampire exiting
%------------------------------------------------------------------------------