%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL030+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:33:56 PM UTC 2026
% Result : Theorem 14.83s 3.13s
% Output : Refutation 15.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 15
% Syntax : Number of formulae : 143 ( 119 unt; 2 def)
% Number of atoms : 171 ( 146 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 28 ~; 20 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 210 ( 0 sgn 207 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(X0,one) = one
=> ( join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2)))
& join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) = meet(composition(X0,X1),complement(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,one) = one
=> ( join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2)))
& join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) = meet(composition(X0,X1),complement(X2)) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( meet(composition(X0,X1),complement(composition(X0,X2))) != join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2))))
| meet(composition(X0,X1),complement(X2)) != join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) )
& join(X0,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(sK2)),meet(composition(sK0,sK1),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(sK2)) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(sK2))) )
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
( meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(sK2)),meet(composition(sK0,sK1),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(sK2)) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(sK2))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(sK2))))) ),
inference(definition_unfolding,[],[f19,f24,f24,f24,f24,f24,f24]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f37,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(sK2))))) ),
inference(forward_demodulation,[],[f33,f27]) ).
fof(f38,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
inference(forward_demodulation,[],[f37,f27]) ).
fof(f39,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
inference(forward_demodulation,[],[f38,f27]) ).
fof(f41,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) = join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f42,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl3_2
<=> complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) = join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f45,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f39,f44,f41]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f56,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f35,f35]) ).
fof(f58,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f59,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f56,f27]) ).
fof(f69,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f71,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f75,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f35]) ).
fof(f82,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f85,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f157,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f69,f30]) ).
fof(f167,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f157,f32]) ).
fof(f178,plain,
one = converse(one),
inference(superposition,[],[f30,f167]) ).
fof(f282,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f71,f29]) ).
fof(f292,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f282,f22]) ).
fof(f299,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f292,f22]) ).
fof(f304,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f299,f29]) ).
fof(f320,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f304]) ).
fof(f325,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f320,f32]) ).
fof(f350,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f325,f30]) ).
fof(f353,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f325,f30]) ).
fof(f366,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f353,f27]) ).
fof(f490,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f167,f178]) ).
fof(f685,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f366,f18]) ).
fof(f723,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f685,f30]) ).
fof(f806,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f85,f490]) ).
fof(f827,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f806,f167]) ).
fof(f844,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f75,f827]) ).
fof(f848,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f844,f35]) ).
fof(f884,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f848,f59]) ).
fof(f887,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f848,f848]) ).
fof(f890,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f848,f34]) ).
fof(f938,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f884,f75]) ).
fof(f940,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f884,f27]) ).
fof(f975,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f938,f26]) ).
fof(f1014,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f75,f887]) ).
fof(f1027,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f1014,f82]) ).
fof(f1033,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1027,f975]) ).
fof(f1141,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f35,f1033]) ).
fof(f1142,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| spl3_1 ),
inference(superposition,[],[f42,f1033]) ).
fof(f1157,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f27,f1033]) ).
fof(f1170,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f890,f1033]) ).
fof(f1171,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1170,f890]) ).
fof(f1185,plain,
( complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f1142,f1157]) ).
fof(f1186,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1141,f1033]) ).
fof(f1229,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f58,f1171]) ).
fof(f1377,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f58,f1186]) ).
fof(f1400,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1377,f27]) ).
fof(f1438,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1400,f1033]) ).
fof(f1462,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1438,f27]) ).
fof(f1479,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1462,f26]) ).
fof(f1490,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1479,f940]) ).
fof(f1499,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1490,f27]) ).
fof(f1508,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f1490,f1157]) ).
fof(f1584,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1508,f1157]) ).
fof(f3524,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f47,f723]) ).
fof(f3539,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f3524,f69]) ).
fof(f3558,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f3539,f32]) ).
fof(f3600,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f350,f3558]) ).
fof(f3603,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f3600,f30]) ).
fof(f3623,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f3603,f30]) ).
fof(f3667,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f47,f3623]) ).
fof(f3668,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f3667,f69]) ).
fof(f3695,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f3668,f32]) ).
fof(f3708,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f3695,f32]) ).
fof(f3718,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f26,f3708]) ).
fof(f3729,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f1229,f3708]) ).
fof(f3748,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sK0,complement(X0)),X0))),
inference(forward_demodulation,[],[f3729,f27]) ).
fof(f3760,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(composition(sK0,complement(X0)),X0))),
inference(forward_demodulation,[],[f3748,f1033]) ).
fof(f3764,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f3760,f1499]) ).
fof(f3990,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f3718,f325]) ).
fof(f4175,plain,
! [X0,X1] : join(X0,complement(composition(sK0,join(X0,X1)))) = join(X0,complement(join(X0,composition(sK0,X1)))),
inference(superposition,[],[f1490,f3990]) ).
fof(f4209,plain,
! [X0,X1] : join(X0,complement(composition(sK0,join(X0,X1)))) = join(X0,complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f4175,f1490]) ).
fof(f4280,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f4209,f20]) ).
fof(f4407,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(forward_demodulation,[],[f4280,f3764]) ).
fof(f4500,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X0,join(X1,complement(composition(sK0,top)))),
inference(superposition,[],[f26,f4407]) ).
fof(f4536,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X0,complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f4500,f4407]) ).
fof(f4611,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(X1,complement(X0))))),
inference(superposition,[],[f4536,f1171]) ).
fof(f4805,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(X0),X1)))),
inference(superposition,[],[f4611,f27]) ).
fof(f4987,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(join(complement(X0),X1)),complement(composition(sK0,X0))),
inference(superposition,[],[f4805,f1490]) ).
fof(f5006,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK0,X1))) = join(complement(X1),complement(composition(sK0,X0))),
inference(superposition,[],[f4611,f4805]) ).
fof(f5084,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sK0,X0)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4987,f27]) ).
fof(f5147,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK0,X1))) = join(complement(composition(sK0,X0)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f5084,f4611]) ).
fof(f5329,plain,
! [X0,X1] : join(complement(complement(X1)),complement(composition(sK0,X0))) = join(complement(composition(sK0,X0)),complement(join(complement(X0),complement(composition(sK0,X1))))),
inference(superposition,[],[f1584,f5006]) ).
fof(f5337,plain,
! [X0,X1] : join(complement(complement(X1)),complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,complement(composition(sK0,X1))))),
inference(forward_demodulation,[],[f5329,f5147]) ).
fof(f5412,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),composition(sK0,X1))))) = join(complement(complement(X1)),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f5337,f4536]) ).
fof(f5456,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(X0),composition(sK0,X1))))),
inference(forward_demodulation,[],[f5412,f1033]) ).
fof(f5482,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(composition(sK0,X1),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f5456,f4805]) ).
fof(f5519,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(sK2,complement(composition(sK0,sK1)))))
| spl3_1 ),
inference(superposition,[],[f1185,f5482]) ).
fof(f5561,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f5519,f827]) ).
fof(f5562,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f5561]) ).
fof(f5599,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f45,f1157]) ).
fof(f5600,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(sK2,complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f5599,f5482]) ).
fof(f5601,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f5600,f27]) ).
fof(f5602,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(sK2,complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f5601,f1033]) ).
fof(f5603,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f5602,f827]) ).
fof(f5604,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f5603]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f5562]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f5604]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f5605,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL030+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n014.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:53:46 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 14.83/3.13 % (1260930)Detected formulas, will run a generic FOF schedule.
% 14.83/3.13 % (1260941)dis-21_1_sil=8000:lcm=predicate:random_seed=3881057582: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)
% 14.83/3.13 % (1260941)Refutation not found, incomplete strategy
% 14.83/3.13 % (1260941)------------------------------
% 14.83/3.13 % (1260941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260941)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260941)Termination reason: Refutation not found, incomplete strategy
% 14.83/3.13 % (1260941)Time elapsed: 0.002 s
% 14.83/3.13 % (1260941)Peak memory usage: 88 MB
% 14.83/3.13 % (1260941)Instructions burned: 1 (million)
% 14.83/3.13 % (1260936)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=451442493:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.83/3.13 % (1260938)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1320651093:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.83/3.13 % (1260937)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=21060099:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.83/3.13 % (1260935)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=2188252080:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.83/3.13 % (1260940)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1737765360:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.83/3.13 % (1260939)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1164992659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.83/3.13 % (1260938)Instruction limit reached!
% 14.83/3.13 % (1260938)------------------------------
% 14.83/3.13 % (1260938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260938)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260938)Termination reason: Instruction limit
% 14.83/3.13 % (1260938)Termination phase: Saturation
% 14.83/3.13 % (1260938)Time elapsed: 0.104 s
% 14.83/3.13 % (1260938)Peak memory usage: 89 MB
% 14.83/3.13 % (1260938)Instructions burned: 110 (million)
% 14.83/3.13 % (1260939)Instruction limit reached!
% 14.83/3.13 % (1260939)------------------------------
% 14.83/3.13 % (1260939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260939)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260939)Termination reason: Instruction limit
% 14.83/3.13 % (1260939)Termination phase: Saturation
% 14.83/3.13 % (1260939)Time elapsed: 0.110 s
% 14.83/3.13 % (1260939)Peak memory usage: 88 MB
% 14.83/3.13 % (1260939)Instructions burned: 119 (million)
% 14.83/3.13 % (1260940)Instruction limit reached!
% 14.83/3.13 % (1260940)------------------------------
% 14.83/3.13 % (1260940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260940)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260940)Termination reason: Instruction limit
% 14.83/3.13 % (1260940)Termination phase: Saturation
% 14.83/3.13 % (1260940)Time elapsed: 0.141 s
% 14.83/3.13 % (1260940)Peak memory usage: 90 MB
% 14.83/3.13 % (1260940)Instructions burned: 140 (million)
% 14.83/3.13 % (1260941)------------------------------
% 14.83/3.13 % (1260941)------------------------------
% 14.83/3.13 % (1260949)lrs+10_1_sil=8000:sp=occurrence:random_seed=3063598908:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.83/3.13 % (1260950)lrs+10_1_sil=32000:urr=on:br=off:random_seed=690130171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.83/3.13 % (1260951)lrs+1011_1_sil=32000:sp=occurrence:random_seed=899503637:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.83/3.13 % (1260952)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=8744468:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.83/3.13 % (1260950)Instruction limit reached!
% 14.83/3.13 % (1260950)------------------------------
% 14.83/3.13 % (1260950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260950)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260950)Termination reason: Instruction limit
% 14.83/3.13 % (1260950)Termination phase: Saturation
% 14.83/3.13 % (1260950)Time elapsed: 0.163 s
% 14.83/3.13 % (1260950)Peak memory usage: 90 MB
% 14.83/3.13 % (1260950)Instructions burned: 157 (million)
% 14.83/3.13 % (1260951)Instruction limit reached!
% 14.83/3.13 % (1260951)------------------------------
% 14.83/3.13 % (1260951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260951)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260951)Termination reason: Instruction limit
% 14.83/3.13 % (1260951)Termination phase: Saturation
% 14.83/3.13 % (1260951)Time elapsed: 0.167 s
% 14.83/3.13 % (1260951)Peak memory usage: 92 MB
% 14.83/3.13 % (1260951)Instructions burned: 325 (million)
% 14.83/3.13 % (1260949)Instruction limit reached!
% 14.83/3.13 % (1260949)------------------------------
% 14.83/3.13 % (1260949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260949)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260949)Termination reason: Instruction limit
% 14.83/3.13 % (1260949)Termination phase: Saturation
% 14.83/3.13 % (1260949)Time elapsed: 0.264 s
% 14.83/3.13 % (1260949)Peak memory usage: 92 MB
% 14.83/3.13 % (1260949)Instructions burned: 285 (million)
% 14.83/3.13 % (1260952)Instruction limit reached!
% 14.83/3.13 % (1260952)------------------------------
% 14.83/3.13 % (1260952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260952)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260952)Termination reason: Instruction limit
% 14.83/3.13 % (1260952)Termination phase: Saturation
% 14.83/3.13 % (1260952)Time elapsed: 0.255 s
% 14.83/3.13 % (1260952)Peak memory usage: 92 MB
% 14.83/3.13 % (1260952)Instructions burned: 249 (million)
% 14.83/3.13 % (1260957)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2496216272:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 14.83/3.13 % (1260958)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3584261717:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.83/3.13 % (1260959)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3508968612:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.83/3.13 % (1260959)Instruction limit reached!
% 14.83/3.13 % (1260959)------------------------------
% 14.83/3.13 % (1260959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260959)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260959)Termination reason: Instruction limit
% 14.83/3.13 % (1260959)Termination phase: Saturation
% 14.83/3.13 % (1260959)Time elapsed: 0.109 s
% 14.83/3.13 % (1260959)Peak memory usage: 89 MB
% 14.83/3.13 % (1260959)Instructions burned: 113 (million)
% 14.83/3.13 % (1260960)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4121183661:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 14.83/3.13 % (1260960)Refutation not found, incomplete strategy
% 14.83/3.13 % (1260960)------------------------------
% 14.83/3.13 % (1260960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260960)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260960)Termination reason: Refutation not found, incomplete strategy
% 14.83/3.13 % (1260960)Time elapsed: 0.002 s
% 14.83/3.13 % (1260960)Peak memory usage: 87 MB
% 14.83/3.13 % (1260960)Instructions burned: 1 (million)
% 14.83/3.13 % (1260957)Instruction limit reached!
% 14.83/3.13 % (1260957)------------------------------
% 14.83/3.13 % (1260957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260957)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260957)Termination reason: Instruction limit
% 14.83/3.13 % (1260957)Termination phase: Saturation
% 14.83/3.13 % (1260957)Time elapsed: 0.301 s
% 14.83/3.13 % (1260957)Peak memory usage: 90 MB
% 14.83/3.13 % (1260957)Instructions burned: 294 (million)
% 14.83/3.13 % (1260964)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=273669243:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 14.83/3.13 % (1260966)lrs+10_1_sil=8000:sp=occurrence:random_seed=1561871250:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 14.83/3.13 % (1260964)Instruction limit reached!
% 14.83/3.13 % (1260964)------------------------------
% 14.83/3.13 % (1260964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.83/3.13 % (1260964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/3.13 % (1260964)CaDiCaL version: 2.1.3
% 14.83/3.13 % (1260964)Termination reason: Instruction limit
% 14.83/3.13 % (1260964)Termination phase: Saturation
% 14.83/3.13 % (1260964)Time elapsed: 0.101 s
% 14.83/3.13 % (1260964)Peak memory usage: 89 MB
% 14.83/3.13 % (1260964)Instructions burned: 114 (million)
% 14.83/3.13 % (1260960)------------------------------
% 14.83/3.13 % (1260960)------------------------------
% 14.83/3.13 % (1260936)First to succeed.
% 14.83/3.13 % (1260936)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1260930"
% 14.83/3.13 % (1260969)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2746628621:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 14.83/3.13 % (1260970)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2195872742:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 14.83/3.13 % (1260936)Refutation found. Thanks to Tanya!
% 14.83/3.13 % SZS status Theorem for theBenchmark
% 14.83/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 15.68/3.37 % (1260936)------------------------------
% 15.68/3.37 % (1260936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/3.37 % (1260936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/3.37 % (1260936)CaDiCaL version: 2.1.3
% 15.68/3.37 % (1260936)Termination reason: Refutation
% 15.68/3.37 % (1260936)Time elapsed: 1.449 s
% 15.68/3.37 % (1260936)Peak memory usage: 135 MB
% 15.68/3.37 % (1260936)Instructions burned: 1498 (million)
% 15.68/3.37 % (1260936)------------------------------
% 15.68/3.37 % (1260936)------------------------------
% 15.68/3.37 % (1260930)Success in time 2.109 s
% 15.68/3.37 % Vampire exiting
%------------------------------------------------------------------------------