%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:34:09 PM UTC 2026
% Result : Theorem 26.51s 4.89s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 21
% Syntax : Number of formulae : 146 ( 133 unt; 7 def)
% Number of atoms : 159 ( 143 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 9 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 168 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( composition(complement(composition(X0,top)),top) != join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top))
| complement(composition(X0,top)) != join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top))) ),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f42,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = composition(sF2,top),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
composition(sF2,top) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF5 = join(sF3,sF2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
join(sF3,sF2) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
( sF3 != sF4
| sF2 != sF5 ),
inference(definition_folding,[],[f37,f51,f45,f43,f47,f45,f43,f45,f43,f49,f47,f45,f43,f45,f43,f47,f45,f43]) ).
fof(f54,definition,
( spl6_1
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f56,plain,
( sF2 != sF5
| spl6_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f58,definition,
( spl6_2
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f61,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f52,f58,f54]) ).
fof(f70,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f82,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f86,plain,
join(sF2,sF3) = sF5,
inference(superposition,[],[f51,f21]) ).
fof(f87,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f86,f49]) ).
fof(f95,plain,
( sF2 != sF4
| spl6_1 ),
inference(superposition,[],[f56,f87]) ).
fof(f111,plain,
! [X0] : composition(join(sK0,X0),top) = join(sF1,composition(X0,top)),
inference(superposition,[],[f27,f43]) ).
fof(f123,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f125,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f130,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f125,f30]) ).
fof(f139,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f130,f29]) ).
fof(f142,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f139,f29]) ).
fof(f144,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f142,f30]) ).
fof(f160,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f144]) ).
fof(f161,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f160,f28]) ).
fof(f180,plain,
! [X0] : composition(sK0,join(top,X0)) = join(sF1,composition(sK0,X0)),
inference(superposition,[],[f161,f43]) ).
fof(f182,plain,
! [X0] : composition(sF2,join(X0,top)) = join(composition(sF2,X0),sF3),
inference(superposition,[],[f161,f47]) ).
fof(f215,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f31,f28]) ).
fof(f276,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f22,f32]) ).
fof(f280,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f296,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f408,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f161,f26]) ).
fof(f412,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(superposition,[],[f296,f32]) ).
fof(f537,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f123,f26]) ).
fof(f553,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f537,f28]) ).
fof(f572,plain,
one = converse(one),
inference(superposition,[],[f26,f553]) ).
fof(f589,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f553,f572]) ).
fof(f666,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))),
inference(superposition,[],[f21,f215]) ).
fof(f709,plain,
! [X0] : composition(sK0,composition(top,X0)) = composition(sF1,X0),
inference(superposition,[],[f25,f43]) ).
fof(f742,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f408,f32]) ).
fof(f821,plain,
! [X0] : complement(X0) = join(complement(composition(converse(one),X0)),complement(X0)),
inference(superposition,[],[f215,f589]) ).
fof(f824,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f821,f553]) ).
fof(f841,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f276,f824]) ).
fof(f845,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f280,f824]) ).
fof(f852,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f845,f23]) ).
fof(f856,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f841,f32]) ).
fof(f867,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(superposition,[],[f852,f276]) ).
fof(f870,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f852,f32]) ).
fof(f877,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f296,f852]) ).
fof(f884,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f23,f852]) ).
fof(f901,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f884,f276]) ).
fof(f911,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f901,f867]) ).
fof(f923,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f82,f911]) ).
fof(f989,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f923]) ).
fof(f993,plain,
! [X0,X1] : join(top,complement(join(X0,X1))) = join(join(complement(X1),X0),complement(X0)),
inference(superposition,[],[f276,f923]) ).
fof(f1006,plain,
! [X0,X1] : join(top,complement(join(X0,X1))) = join(complement(X1),join(X0,complement(X0))),
inference(forward_demodulation,[],[f993,f22]) ).
fof(f1010,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f989,f877]) ).
fof(f1042,plain,
! [X0,X1] : join(top,complement(join(X0,X1))) = join(complement(X1),top),
inference(forward_demodulation,[],[f1006,f32]) ).
fof(f1046,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1010,f911]) ).
fof(f1057,plain,
! [X1] : top = join(complement(X1),top),
inference(forward_demodulation,[],[f1042,f856]) ).
fof(f1071,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = join(complement(join(complement(X1),X0)),X1),
inference(superposition,[],[f1046,f276]) ).
fof(f1075,plain,
! [X0,X1] : join(X0,complement(X0)) = join(complement(complement(join(complement(X0),X1))),X0),
inference(superposition,[],[f1046,f852]) ).
fof(f1148,plain,
! [X0,X1] : join(X0,complement(X0)) = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1075,f911]) ).
fof(f1150,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X1) = X1,
inference(forward_demodulation,[],[f1071,f867]) ).
fof(f1169,plain,
! [X0,X1] : join(X0,complement(X0)) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1148,f22]) ).
fof(f1178,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X1,top),
inference(forward_demodulation,[],[f1169,f412]) ).
fof(f1183,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f1178,f32]) ).
fof(f1199,plain,
! [X0] : composition(sF2,top) = join(composition(sF2,complement(X0)),sF3),
inference(superposition,[],[f182,f1057]) ).
fof(f1202,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(top,X1)),
inference(superposition,[],[f22,f1057]) ).
fof(f1203,plain,
! [X0,X1] : join(X1,top) = join(complement(X0),join(top,X1)),
inference(superposition,[],[f296,f1057]) ).
fof(f1209,plain,
! [X0,X1] : top = join(complement(X0),join(top,X1)),
inference(forward_demodulation,[],[f1203,f1183]) ).
fof(f1210,plain,
! [X0] : sF3 = join(composition(sF2,complement(X0)),sF3),
inference(forward_demodulation,[],[f1199,f47]) ).
fof(f1217,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1209,f1202]) ).
fof(f2042,plain,
! [X0] : sF3 = join(composition(sF2,X0),sF3),
inference(superposition,[],[f1210,f911]) ).
fof(f3611,plain,
! [X0] : composition(sK0,top) = join(sF1,composition(sK0,X0)),
inference(superposition,[],[f180,f1217]) ).
fof(f3653,plain,
! [X0] : sF1 = join(sF1,composition(sK0,X0)),
inference(forward_demodulation,[],[f3611,f43]) ).
fof(f3782,plain,
zero = complement(top),
inference(superposition,[],[f38,f32]) ).
fof(f3792,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f852,f38]) ).
fof(f3795,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1150,f38]) ).
fof(f3825,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = complement(zero),
inference(superposition,[],[f911,f38]) ).
fof(f3842,plain,
top = complement(zero),
inference(forward_demodulation,[],[f3825,f32]) ).
fof(f5918,plain,
join(sF1,composition(composition(sK0,complement(one)),top)) = composition(composition(sK0,top),top),
inference(superposition,[],[f111,f742]) ).
fof(f5948,plain,
composition(sK0,composition(top,top)) = join(sF1,composition(composition(sK0,complement(one)),top)),
inference(forward_demodulation,[],[f5918,f25]) ).
fof(f5975,plain,
composition(sK0,composition(top,top)) = join(sF1,composition(sK0,composition(complement(one),top))),
inference(forward_demodulation,[],[f5948,f25]) ).
fof(f5987,plain,
sF1 = composition(sK0,composition(top,top)),
inference(forward_demodulation,[],[f5975,f3653]) ).
fof(f5991,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f5987,f709]) ).
fof(f7198,plain,
sF3 = join(sF2,sF3),
inference(superposition,[],[f2042,f26]) ).
fof(f7225,plain,
sF3 = sF4,
inference(forward_demodulation,[],[f7198,f49]) ).
fof(f7229,plain,
spl6_2,
inference(avatar_split_clause,[],[f7225,f58]) ).
fof(f8632,plain,
complement(top) = join(composition(converse(sF1),complement(sF1)),complement(top)),
inference(superposition,[],[f31,f5991]) ).
fof(f8647,plain,
complement(top) = composition(converse(sF1),complement(sF1)),
inference(forward_demodulation,[],[f8632,f870]) ).
fof(f8655,plain,
complement(top) = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f8647,f45]) ).
fof(f8657,plain,
zero = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f8655,f3782]) ).
fof(f9445,plain,
converse(zero) = composition(converse(sF2),sF1),
inference(superposition,[],[f123,f8657]) ).
fof(f9497,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f70,f3795]) ).
fof(f9517,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f9497,f28]) ).
fof(f19716,plain,
zero = converse(zero),
inference(superposition,[],[f3792,f9517]) ).
fof(f31681,plain,
complement(sF1) = join(complement(sF1),composition(sF2,complement(converse(zero)))),
inference(superposition,[],[f666,f9445]) ).
fof(f31723,plain,
complement(sF1) = join(complement(sF1),composition(sF2,complement(zero))),
inference(forward_demodulation,[],[f31681,f19716]) ).
fof(f31737,plain,
complement(sF1) = join(complement(sF1),composition(sF2,top)),
inference(forward_demodulation,[],[f31723,f3842]) ).
fof(f31746,plain,
complement(sF1) = join(complement(sF1),sF3),
inference(forward_demodulation,[],[f31737,f47]) ).
fof(f31753,plain,
sF2 = join(sF2,sF3),
inference(forward_demodulation,[],[f31746,f45]) ).
fof(f31758,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f31753,f49]) ).
fof(f31762,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f31758,f95]) ).
fof(f31763,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f31762]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f7229]) ).
cnf(s3,plain,
spl6_1,
inference(sat_conversion,[],[f31763]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f31770,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL050+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:57:16 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 17.54/3.52 % (1267982)Detected formulas, will run a generic FOF schedule.
% 17.54/3.52 % (1267994)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2018696606:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.54/3.52 % (1267994)Instruction limit reached!
% 17.54/3.52 % (1267994)------------------------------
% 17.54/3.52 % (1267994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.52 % (1267994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.52 % (1267994)CaDiCaL version: 2.1.3
% 17.54/3.52 % (1267994)Termination reason: Instruction limit
% 17.54/3.52 % (1267994)Termination phase: Saturation
% 17.54/3.52 % (1267994)Time elapsed: 0.056 s
% 17.54/3.52 % (1267994)Peak memory usage: 89 MB
% 17.54/3.52 % (1267994)Instructions burned: 121 (million)
% 17.54/3.52 % (1267996)dis-21_1_sil=8000:lcm=predicate:random_seed=561328265:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.54/3.52 % (1267995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3281261252:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.54/3.52 % (1267992)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3156824653:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.54/3.52 % (1267990)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=2838685993:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.54/3.52 % (1267993)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4037705988:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.54/3.52 % (1267991)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1935515672:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.54/3.52 % (1267996)Refutation not found, incomplete strategy
% 17.54/3.52 % (1267996)------------------------------
% 17.54/3.52 % (1267996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.52 % (1267996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.52 % (1267996)CaDiCaL version: 2.1.3
% 17.54/3.52 % (1267996)Termination reason: Refutation not found, incomplete strategy
% 17.54/3.52 % (1267996)Time elapsed: 0.003 s
% 17.54/3.52 % (1267996)Peak memory usage: 88 MB
% 17.54/3.52 % (1267996)Instructions burned: 1 (million)
% 17.54/3.52 % (1267993)Instruction limit reached!
% 17.54/3.52 % (1267993)------------------------------
% 17.54/3.52 % (1267993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.52 % (1267993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.52 % (1267993)CaDiCaL version: 2.1.3
% 17.54/3.52 % (1267993)Termination reason: Instruction limit
% 17.54/3.52 % (1267993)Termination phase: Saturation
% 17.54/3.52 % (1267993)Time elapsed: 0.117 s
% 17.54/3.52 % (1267993)Peak memory usage: 90 MB
% 17.54/3.52 % (1267993)Instructions burned: 109 (million)
% 17.54/3.52 % (1267995)Instruction limit reached!
% 17.54/3.52 % (1267995)------------------------------
% 17.54/3.52 % (1267995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.52 % (1267995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.52 % (1267995)CaDiCaL version: 2.1.3
% 17.54/3.52 % (1267995)Termination reason: Instruction limit
% 17.54/3.52 % (1267995)Termination phase: Saturation
% 17.54/3.52 % (1267995)Time elapsed: 0.132 s
% 17.54/3.52 % (1267995)Peak memory usage: 90 MB
% 17.54/3.52 % (1267995)Instructions burned: 139 (million)
% 17.54/3.52 % (1267998)lrs+10_1_sil=8000:sp=occurrence:random_seed=2185903088:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.54/3.52 % (1267996)------------------------------
% 17.54/3.52 % (1267996)------------------------------
% 17.54/3.52 % (1268005)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2492726044:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.54/3.52 % (1267998)Instruction limit reached!
% 17.54/3.52 % (1267998)------------------------------
% 17.54/3.52 % (1267998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.52 % (1267998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.52 % (1267998)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1267998)Termination reason: Instruction limit
% 23.26/4.39 % (1267998)Termination phase: Saturation
% 23.26/4.39 % (1267998)Time elapsed: 0.190 s
% 23.26/4.39 % (1267998)Peak memory usage: 91 MB
% 23.26/4.39 % (1267998)Instructions burned: 286 (million)
% 23.26/4.39 % (1268006)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3659917804:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.26/4.39 % (1268005)Instruction limit reached!
% 23.26/4.39 % (1268005)------------------------------
% 23.26/4.39 % (1268005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1268005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1268005)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1268005)Termination reason: Instruction limit
% 23.26/4.39 % (1268005)Termination phase: Saturation
% 23.26/4.39 % (1268005)Time elapsed: 0.134 s
% 23.26/4.39 % (1268005)Peak memory usage: 90 MB
% 23.26/4.39 % (1268005)Instructions burned: 157 (million)
% 23.26/4.39 % (1268009)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2254776431:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 23.26/4.39 % (1268010)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3195326610:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 23.26/4.39 % (1268009)Instruction limit reached!
% 23.26/4.39 % (1268009)------------------------------
% 23.26/4.39 % (1268009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1268009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1268009)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1268009)Termination reason: Instruction limit
% 23.26/4.39 % (1268009)Termination phase: Saturation
% 23.26/4.39 % (1268009)Time elapsed: 0.134 s
% 23.26/4.39 % (1268009)Peak memory usage: 92 MB
% 23.26/4.39 % (1268009)Instructions burned: 249 (million)
% 23.26/4.39 % (1268012)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1859256422:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 23.26/4.39 % (1268006)Instruction limit reached!
% 23.26/4.39 % (1268006)------------------------------
% 23.26/4.39 % (1268006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1268006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1268006)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1268006)Termination reason: Instruction limit
% 23.26/4.39 % (1268006)Termination phase: Saturation
% 23.26/4.39 % (1268006)Time elapsed: 0.323 s
% 23.26/4.39 % (1268006)Peak memory usage: 92 MB
% 23.26/4.39 % (1268006)Instructions burned: 325 (million)
% 23.26/4.39 % (1268010)Instruction limit reached!
% 23.26/4.39 % (1268010)------------------------------
% 23.26/4.39 % (1268010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1268010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1268010)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1268010)Termination reason: Instruction limit
% 23.26/4.39 % (1268010)Termination phase: Saturation
% 23.26/4.39 % (1268010)Time elapsed: 0.274 s
% 23.26/4.39 % (1268010)Peak memory usage: 92 MB
% 23.26/4.39 % (1268010)Instructions burned: 294 (million)
% 23.26/4.39 % (1267992)Refutation not found, incomplete strategy
% 23.26/4.39 % (1267992)------------------------------
% 23.26/4.39 % (1267992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1267992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1267992)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1267992)Termination reason: Refutation not found, incomplete strategy
% 23.26/4.39 % (1267992)Time elapsed: 0.950 s
% 23.26/4.39 % (1267992)Peak memory usage: 127 MB
% 23.26/4.39 % (1267992)Instructions burned: 889 (million)
% 23.26/4.39 % (1268015)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3623878540:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 23.26/4.39 % (1268015)Refutation not found, incomplete strategy
% 23.26/4.39 % (1268015)------------------------------
% 23.26/4.39 % (1268015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/4.39 % (1268015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/4.39 % (1268015)CaDiCaL version: 2.1.3
% 23.26/4.39 % (1268015)Termination reason: Refutation not found, incomplete strategy
% 23.26/4.39 % (1268015)Time elapsed: 0.002 s
% 23.26/4.39 % (1268015)Peak memory usage: 88 MB
% 26.51/4.88 % (1268015)Instructions burned: 1 (million)
% 26.51/4.88 % (1268017)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1869505211:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 26.51/4.88 % (1268017)Refutation not found, incomplete strategy
% 26.51/4.88 % (1268017)------------------------------
% 26.51/4.88 % (1268017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.88 % (1268017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.88 % (1268017)CaDiCaL version: 2.1.3
% 26.51/4.88 % (1268017)Termination reason: Refutation not found, incomplete strategy
% 26.51/4.88 % (1268017)Time elapsed: 0.002 s
% 26.51/4.88 % (1268017)Peak memory usage: 87 MB
% 26.51/4.88 % (1268017)Instructions burned: 1 (million)
% 26.51/4.88 % (1268018)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3557860509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 26.51/4.88 % (1267992)------------------------------
% 26.51/4.88 % (1267992)------------------------------
% 26.51/4.88 % (1268018)Instruction limit reached!
% 26.51/4.89 % (1268018)------------------------------
% 26.51/4.89 % (1268018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268018)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268018)Termination reason: Instruction limit
% 26.51/4.89 % (1268018)Termination phase: Saturation
% 26.51/4.89 % (1268018)Time elapsed: 0.100 s
% 26.51/4.89 % (1268018)Peak memory usage: 89 MB
% 26.51/4.89 % (1268018)Instructions burned: 114 (million)
% 26.51/4.89 % (1268015)------------------------------
% 26.51/4.89 % (1268015)------------------------------
% 26.51/4.89 % (1268017)------------------------------
% 26.51/4.89 % (1268017)------------------------------
% 26.51/4.89 % (1268022)lrs+10_1_sil=8000:sp=occurrence:random_seed=3149624971:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 26.51/4.89 % (1268023)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2570889746:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 26.51/4.89 % (1268023)Refutation not found, incomplete strategy
% 26.51/4.89 % (1268023)------------------------------
% 26.51/4.89 % (1268023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268023)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268023)Termination reason: Refutation not found, incomplete strategy
% 26.51/4.89 % (1268023)Time elapsed: 0.002 s
% 26.51/4.89 % (1268023)Peak memory usage: 88 MB
% 26.51/4.89 % (1268023)Instructions burned: 1 (million)
% 26.51/4.89 % (1268024)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=861405267:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 26.51/4.89 % (1268025)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1484630603:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 26.51/4.89 % (1268025)Refutation not found, incomplete strategy
% 26.51/4.89 % (1268025)------------------------------
% 26.51/4.89 % (1268025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268025)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268025)Termination reason: Refutation not found, incomplete strategy
% 26.51/4.89 % (1268025)Time elapsed: 0.003 s
% 26.51/4.89 % (1268025)Peak memory usage: 89 MB
% 26.51/4.89 % (1268025)Instructions burned: 1 (million)
% 26.51/4.89 % (1268023)------------------------------
% 26.51/4.89 % (1268023)------------------------------
% 26.51/4.89 % (1268012)Instruction limit reached!
% 26.51/4.89 % (1268012)------------------------------
% 26.51/4.89 % (1268012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268012)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268012)Termination reason: Instruction limit
% 26.51/4.89 % (1268012)Termination phase: Saturation
% 26.51/4.89 % (1268012)Time elapsed: 1.322 s
% 26.51/4.89 % (1268012)Peak memory usage: 141 MB
% 26.51/4.89 % (1268012)Instructions burned: 2351 (million)
% 26.51/4.89 % (1268025)------------------------------
% 26.51/4.89 % (1268025)------------------------------
% 26.51/4.89 % (1268031)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4095434319:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 26.51/4.89 % (1268030)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=735738327:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 26.51/4.89 % (1268032)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3076304389:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 26.51/4.89 % (1268022)Instruction limit reached!
% 26.51/4.89 % (1268022)------------------------------
% 26.51/4.89 % (1268022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268022)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268022)Termination reason: Instruction limit
% 26.51/4.89 % (1268022)Termination phase: Saturation
% 26.51/4.89 % (1268022)Time elapsed: 0.843 s
% 26.51/4.89 % (1268022)Peak memory usage: 98 MB
% 26.51/4.89 % (1268022)Instructions burned: 907 (million)
% 26.51/4.89 % (1268032)Instruction limit reached!
% 26.51/4.89 % (1268032)------------------------------
% 26.51/4.89 % (1268032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268032)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268032)Termination reason: Instruction limit
% 26.51/4.89 % (1268032)Termination phase: Saturation
% 26.51/4.89 % (1268032)Time elapsed: 0.133 s
% 26.51/4.89 % (1268032)Peak memory usage: 91 MB
% 26.51/4.89 % (1268032)Instructions burned: 126 (million)
% 26.51/4.89 % (1268036)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1668143185:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 26.51/4.89 % (1268037)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2962065500:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 26.51/4.89 % (1268037)Refutation not found, incomplete strategy
% 26.51/4.89 % (1268037)------------------------------
% 26.51/4.89 % (1268037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268037)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268037)Termination reason: Refutation not found, incomplete strategy
% 26.51/4.89 % (1268037)Time elapsed: 0.002 s
% 26.51/4.89 % (1268037)Peak memory usage: 88 MB
% 26.51/4.89 % (1268036)Instruction limit reached!
% 26.51/4.89 % (1268036)------------------------------
% 26.51/4.89 % (1268036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268036)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268036)Termination reason: Instruction limit
% 26.51/4.89 % (1268036)Termination phase: Saturation
% 26.51/4.89 % (1268036)Time elapsed: 0.131 s
% 26.51/4.89 % (1268036)Peak memory usage: 90 MB
% 26.51/4.89 % (1268036)Instructions burned: 135 (million)
% 26.51/4.89 % (1268030)Instruction limit reached!
% 26.51/4.89 % (1268030)------------------------------
% 26.51/4.89 % (1268030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268030)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268030)Termination reason: Instruction limit
% 26.51/4.89 % (1268030)Termination phase: Saturation
% 26.51/4.89 % (1268030)Time elapsed: 0.510 s
% 26.51/4.89 % (1268030)Peak memory usage: 91 MB
% 26.51/4.89 % (1268030)Instructions burned: 592 (million)
% 26.51/4.89 % (1268040)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2148578198:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 26.51/4.89 % (1268040)Refutation not found, incomplete strategy
% 26.51/4.89 % (1268040)------------------------------
% 26.51/4.89 % (1268040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268040)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268040)Termination reason: Refutation not found, incomplete strategy
% 26.51/4.89 % (1268040)Time elapsed: 0.003 s
% 26.51/4.89 % (1268040)Peak memory usage: 88 MB
% 26.51/4.89 % (1268040)Instructions burned: 1 (million)
% 26.51/4.89 % (1268037)------------------------------
% 26.51/4.89 % (1268037)------------------------------
% 26.51/4.89 % (1268041)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3806504456:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 26.51/4.89 % (1267990)First to succeed.
% 26.51/4.89 % (1267990)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1267982"
% 26.51/4.89 % (1268044)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2404604158:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 26.51/4.89 % (1268040)------------------------------
% 26.51/4.89 % (1268040)------------------------------
% 26.51/4.89 % (1268044)Instruction limit reached!
% 26.51/4.89 % (1268044)------------------------------
% 26.51/4.89 % (1268044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.51/4.89 % (1268044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.51/4.89 % (1268044)CaDiCaL version: 2.1.3
% 26.51/4.89 % (1268044)Termination reason: Instruction limit
% 26.51/4.89 % (1268044)Termination phase: Saturation
% 26.51/4.89 % (1268044)Time elapsed: 0.134 s
% 26.51/4.89 % (1268044)Peak memory usage: 91 MB
% 26.51/4.89 % (1268044)Instructions burned: 151 (million)
% 26.51/4.89 % (1267990)Refutation found. Thanks to Tanya!
% 26.51/4.89 % SZS status Theorem for theBenchmark
% 26.51/4.89 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/5.22 % (1267990)------------------------------
% 0.24/5.22 % (1267990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/5.22 % (1267990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/5.22 % (1267990)CaDiCaL version: 2.1.3
% 0.24/5.22 % (1267990)Termination reason: Refutation
% 0.24/5.22 % (1267990)Time elapsed: 3.150 s
% 0.24/5.22 % (1267990)Peak memory usage: 149 MB
% 0.24/5.22 % (1267990)Instructions burned: 3115 (million)
% 0.24/5.22 % (1267990)------------------------------
% 0.24/5.22 % (1267990)------------------------------
% 0.24/5.22 % (1267982)Success in time 3.855 s
% 0.24/5.22 % Vampire exiting
%------------------------------------------------------------------------------