%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027-2 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:53 PM UTC 2026
% Result : Unsatisfiable 10.90s 2.92s
% Output : Refutation 14.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 29
% Syntax : Number of formulae : 199 ( 186 unt; 15 def)
% Number of atoms : 212 ( 194 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != meet(complement(sk1),one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( meet(complement(composition(sk1,top)),one) != join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))
| meet(complement(sk1),one) != join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) ),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
( complement(join(complement(complement(composition(sk1,top))),complement(one))) != join(complement(join(complement(complement(sk1)),complement(one))),complement(join(complement(complement(composition(sk1,top))),complement(one))))
| complement(join(complement(complement(sk1)),complement(one))) != join(complement(join(complement(complement(composition(sk1,top))),complement(one))),complement(join(complement(complement(sk1)),complement(one)))) ),
inference(definition_unfolding,[],[f20,f6,f6,f6,f6,f6,f6]) ).
fof(f23,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
one = sF0,
inference(definition_folding,[],[f18,f24]) ).
fof(f26,definition,
sF1 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
composition(sk1,top) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = complement(one),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
complement(one) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
complement(sk1) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f41,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF9 = join(sF8,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f43,plain,
join(sF8,sF4) = sF9,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f45,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF11 = join(sF10,sF6),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f47,plain,
join(sF10,sF6) = sF11,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF12 = join(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f49,plain,
join(sF6,sF10) = sF12,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
( sF6 != sF11
| sF10 != sF12 ),
inference(definition_folding,[],[f22,f49,f45,f43,f33,f41,f39,f37,f35,f33,f31,f29,f27,f45,f43,f33,f41,f39,f47,f37,f35,f33,f31,f29,f27,f45,f43,f33,f41,f39,f37,f35,f33,f31,f29,f27]) ).
fof(f52,definition,
( spl13_1
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f54,plain,
( sF10 != sF12
| spl13_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl13_2
<=> sF6 = sF11 ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f59,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
fof(f61,plain,
one = join(sk1,one),
inference(forward_demodulation,[],[f24,f25]) ).
fof(f62,plain,
sF5 = join(sF3,complement(one)),
inference(forward_demodulation,[],[f35,f33]) ).
fof(f63,plain,
complement(complement(sk1)) = sF8,
inference(forward_demodulation,[],[f41,f39]) ).
fof(f64,plain,
sF9 = join(sF8,complement(one)),
inference(forward_demodulation,[],[f43,f33]) ).
fof(f65,plain,
sF11 = join(sF6,sF10),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f66,plain,
sF5 = join(complement(one),sF3),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f67,plain,
sF9 = join(complement(one),sF8),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f68,plain,
sF11 = sF12,
inference(backward_demodulation,[],[f49,f65]) ).
fof(f69,plain,
( sF10 != sF11
| spl13_1 ),
inference(forward_demodulation,[],[f54,f68]) ).
fof(f70,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f79,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f94,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f4,f4]) ).
fof(f97,plain,
! [X0] : sF5 = join(complement(join(sF6,complement(X0))),complement(join(sF6,X0))),
inference(superposition,[],[f4,f37]) ).
fof(f98,plain,
! [X0] : sF9 = join(complement(join(sF10,complement(X0))),complement(join(sF10,X0))),
inference(superposition,[],[f4,f45]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f109,plain,
! [X0] : sF9 = join(complement(join(sF10,X0)),complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f110,plain,
! [X0] : sF5 = join(complement(join(sF6,X0)),complement(join(sF6,complement(X0)))),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f113,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f117,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f113,f2]) ).
fof(f118,plain,
! [X0] : sF1 = join(complement(join(sF2,complement(X0))),complement(join(sF2,X0))),
inference(superposition,[],[f4,f29]) ).
fof(f123,plain,
! [X0] : sF1 = join(complement(join(sF2,X0)),complement(join(sF2,complement(X0)))),
inference(forward_demodulation,[],[f118,f1]) ).
fof(f169,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f179,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f182,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f169,f179]) ).
fof(f186,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f188,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f204,plain,
one = join(complement(join(complement(one),complement(sF8))),complement(sF9)),
inference(superposition,[],[f4,f67]) ).
fof(f206,plain,
one = join(complement(sF9),complement(join(complement(one),complement(sF8)))),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f207,plain,
one = join(sF10,complement(join(complement(one),complement(sF8)))),
inference(forward_demodulation,[],[f206,f45]) ).
fof(f208,plain,
one = join(complement(join(complement(one),complement(sF3))),complement(sF5)),
inference(superposition,[],[f4,f66]) ).
fof(f210,plain,
one = join(complement(sF5),complement(join(complement(one),complement(sF3)))),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f211,plain,
one = join(sF6,complement(join(complement(one),complement(sF3)))),
inference(forward_demodulation,[],[f210,f37]) ).
fof(f228,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f186,f8]) ).
fof(f240,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f228,f10]) ).
fof(f253,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f79,f240]) ).
fof(f254,plain,
one = converse(one),
inference(superposition,[],[f8,f240]) ).
fof(f257,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f240]) ).
fof(f263,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(backward_demodulation,[],[f257,f254]) ).
fof(f264,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f240,f254]) ).
fof(f269,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f253,f264]) ).
fof(f451,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f188,f12]) ).
fof(f459,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f451,f11]) ).
fof(f468,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f459,f11]) ).
fof(f474,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f468,f12]) ).
fof(f497,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f474]) ).
fof(f512,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f497,f10]) ).
fof(f539,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f512,f8]) ).
fof(f545,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f512,f8]) ).
fof(f566,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f545,f1]) ).
fof(f592,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk1)),
inference(superposition,[],[f566,f61]) ).
fof(f622,plain,
! [X0] : join(X0,composition(X0,sk1)) = X0,
inference(forward_demodulation,[],[f592,f8]) ).
fof(f659,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(one,sk1),X0)),
inference(superposition,[],[f263,f622]) ).
fof(f660,plain,
! [X0] : composition(one,X0) = join(X0,composition(one,composition(sk1,X0))),
inference(forward_demodulation,[],[f659,f7]) ).
fof(f670,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f660,f264]) ).
fof(f674,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f670,f264]) ).
fof(f695,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f539,f15]) ).
fof(f902,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f182,f4]) ).
fof(f903,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,[],[f182,f269]) ).
fof(f918,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f903,f105]) ).
fof(f919,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f902,f1]) ).
fof(f937,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f919,f918]) ).
fof(f964,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f937,f182]) ).
fof(f971,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f937,f1]) ).
fof(f982,plain,
! [X0,X1] : join(X0,X0) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f182,f937]) ).
fof(f989,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(complement(complement(X0)),X2))))))),
inference(superposition,[],[f182,f937]) ).
fof(f999,plain,
! [X0,X1] : join(X0,X0) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f982,f1]) ).
fof(f1005,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f117,f971]) ).
fof(f1009,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f964,f2]) ).
fof(f1012,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f999,f937]) ).
fof(f1015,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(backward_demodulation,[],[f989,f1009]) ).
fof(f1068,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f937,f1015]) ).
fof(f1070,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(complement(X0)),complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f4,f1015]) ).
fof(f1081,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f937,f1015]) ).
fof(f1088,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1081,f1015]) ).
fof(f1096,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(forward_demodulation,[],[f1070,f1]) ).
fof(f1114,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1088,f937]) ).
fof(f1116,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1096,f1015]) ).
fof(f1147,plain,
sk1 = sF8,
inference(backward_demodulation,[],[f63,f1114]) ).
fof(f1149,plain,
sF1 = complement(sF2),
inference(backward_demodulation,[],[f123,f1116]) ).
fof(f1150,plain,
sF5 = complement(sF6),
inference(backward_demodulation,[],[f110,f1116]) ).
fof(f1151,plain,
sF9 = complement(sF10),
inference(backward_demodulation,[],[f109,f1116]) ).
fof(f1160,plain,
sF9 = join(complement(one),sk1),
inference(backward_demodulation,[],[f67,f1147]) ).
fof(f1163,plain,
one = join(sF10,complement(join(complement(one),complement(sk1)))),
inference(backward_demodulation,[],[f207,f1147]) ).
fof(f1171,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f31,f1149]) ).
fof(f1175,plain,
one = join(sF10,complement(join(complement(sk1),complement(one)))),
inference(forward_demodulation,[],[f1163,f1]) ).
fof(f1177,plain,
sF9 = join(sk1,complement(one)),
inference(forward_demodulation,[],[f1160,f1]) ).
fof(f1178,plain,
sF5 = join(complement(one),sF1),
inference(backward_demodulation,[],[f66,f1171]) ).
fof(f1181,plain,
one = join(sF6,complement(join(complement(one),complement(sF1)))),
inference(backward_demodulation,[],[f211,f1171]) ).
fof(f1192,plain,
one = join(sF6,complement(join(complement(one),sF2))),
inference(forward_demodulation,[],[f1181,f29]) ).
fof(f1195,plain,
sF5 = join(sF1,complement(one)),
inference(forward_demodulation,[],[f1178,f1]) ).
fof(f1197,plain,
one = join(sF6,complement(join(sF2,complement(one)))),
inference(forward_demodulation,[],[f1192,f1]) ).
fof(f1296,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1005,f1114]) ).
fof(f1490,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1068,f1]) ).
fof(f1513,plain,
complement(sk1) = join(complement(sk1),complement(one)),
inference(superposition,[],[f1068,f61]) ).
fof(f1530,plain,
one = join(sF10,complement(complement(sk1))),
inference(backward_demodulation,[],[f1175,f1513]) ).
fof(f1542,plain,
one = join(complement(complement(sk1)),sF10),
inference(forward_demodulation,[],[f1530,f1]) ).
fof(f1549,plain,
one = join(sk1,sF10),
inference(forward_demodulation,[],[f1542,f1114]) ).
fof(f1687,plain,
join(sk1,complement(one)) = join(sk1,complement(sF10)),
inference(superposition,[],[f1296,f1549]) ).
fof(f1692,plain,
join(sk1,complement(one)) = join(sk1,sF9),
inference(forward_demodulation,[],[f1687,f1151]) ).
fof(f1696,plain,
sF9 = join(sk1,sF9),
inference(forward_demodulation,[],[f1692,f1177]) ).
fof(f4227,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f674]) ).
fof(f4233,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),complement(X0)),
inference(superposition,[],[f1490,f674]) ).
fof(f4258,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f4233,f1]) ).
fof(f4291,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f4227,f512]) ).
fof(f4453,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f4291,f15]) ).
fof(f4491,plain,
join(sk1,composition(sk1,complement(one))) = join(sk1,composition(sk1,sF9)),
inference(superposition,[],[f4291,f1177]) ).
fof(f4558,plain,
composition(sk1,top) = join(sk1,composition(sk1,sF9)),
inference(forward_demodulation,[],[f4491,f695]) ).
fof(f4592,plain,
! [X0] : join(X0,sF1) = join(X0,composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f4453,f27]) ).
fof(f4609,plain,
sF1 = join(sk1,composition(sk1,sF9)),
inference(forward_demodulation,[],[f4558,f27]) ).
fof(f4667,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,sF1))),
inference(superposition,[],[f1296,f4592]) ).
fof(f4703,plain,
! [X0] : join(X0,complement(sF1)) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f4667,f1296]) ).
fof(f4723,plain,
! [X0] : join(X0,sF2) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f4703,f29]) ).
fof(f4739,plain,
! [X0] : join(sF1,X0) = join(sk1,join(composition(sk1,sF9),X0)),
inference(superposition,[],[f2,f4609]) ).
fof(f4742,plain,
complement(sk1) = join(complement(sk1),complement(sF1)),
inference(superposition,[],[f1068,f4609]) ).
fof(f4757,plain,
complement(sk1) = join(complement(sk1),sF2),
inference(forward_demodulation,[],[f4742,f29]) ).
fof(f4765,plain,
! [X0] : join(complement(X0),sF2) = join(complement(X0),complement(composition(sk1,X0))),
inference(superposition,[],[f4723,f1114]) ).
fof(f4829,plain,
! [X0] : join(complement(X0),sF2) = complement(composition(sk1,X0)),
inference(forward_demodulation,[],[f4765,f4258]) ).
fof(f4845,plain,
complement(sk1) = complement(composition(sk1,sk1)),
inference(backward_demodulation,[],[f4757,f4829]) ).
fof(f4877,plain,
complement(complement(sk1)) = composition(sk1,sk1),
inference(superposition,[],[f1114,f4845]) ).
fof(f4885,plain,
sk1 = composition(sk1,sk1),
inference(forward_demodulation,[],[f4877,f1114]) ).
fof(f4915,plain,
! [X0] : join(sk1,composition(sk1,X0)) = composition(sk1,join(sk1,X0)),
inference(superposition,[],[f512,f4885]) ).
fof(f4918,plain,
sF1 = composition(sk1,join(sk1,sF9)),
inference(backward_demodulation,[],[f4609,f4915]) ).
fof(f4927,plain,
sF1 = composition(sk1,sF9),
inference(forward_demodulation,[],[f4918,f1696]) ).
fof(f4932,plain,
! [X0] : join(sF1,X0) = join(sk1,join(sF1,X0)),
inference(backward_demodulation,[],[f4739,f4927]) ).
fof(f4974,plain,
sF5 = join(sk1,sF5),
inference(superposition,[],[f4932,f1195]) ).
fof(f5445,plain,
! [X0] : join(sF2,complement(X0)) = complement(composition(sk1,X0)),
inference(superposition,[],[f1,f4829]) ).
fof(f5472,plain,
one = join(sF6,complement(complement(composition(sk1,one)))),
inference(backward_demodulation,[],[f1197,f5445]) ).
fof(f5507,plain,
one = join(sF6,composition(sk1,one)),
inference(forward_demodulation,[],[f5472,f1114]) ).
fof(f5533,plain,
one = join(composition(sk1,one),sF6),
inference(forward_demodulation,[],[f5507,f1]) ).
fof(f5548,plain,
one = join(sk1,sF6),
inference(forward_demodulation,[],[f5533,f8]) ).
fof(f5598,plain,
join(sk1,complement(one)) = join(sk1,complement(sF6)),
inference(superposition,[],[f1296,f5548]) ).
fof(f5615,plain,
join(sk1,complement(one)) = join(sk1,sF5),
inference(forward_demodulation,[],[f5598,f1150]) ).
fof(f5624,plain,
sF5 = join(sk1,complement(one)),
inference(forward_demodulation,[],[f5615,f4974]) ).
fof(f5628,plain,
sF5 = sF9,
inference(backward_demodulation,[],[f1177,f5624]) ).
fof(f5629,plain,
complement(sF5) = sF10,
inference(backward_demodulation,[],[f45,f5628]) ).
fof(f5681,plain,
sF6 = sF10,
inference(forward_demodulation,[],[f5629,f37]) ).
fof(f5685,plain,
sF11 = join(sF6,sF6),
inference(backward_demodulation,[],[f65,f5681]) ).
fof(f5686,plain,
( sF6 != sF11
| spl13_1 ),
inference(backward_demodulation,[],[f69,f5681]) ).
fof(f5893,plain,
( ~ spl13_2
| spl13_1 ),
inference(avatar_split_clause,[],[f5686,f52,f56]) ).
fof(f5894,plain,
sF6 = sF11,
inference(forward_demodulation,[],[f5685,f1012]) ).
fof(f5930,plain,
spl13_2,
inference(avatar_split_clause,[],[f5894,f56]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f59]) ).
cnf(s2,plain,
( spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f5893]) ).
cnf(s3,plain,
spl13_2,
inference(sat_conversion,[],[f5930]) ).
cnf(s5,plain,
spl13_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f5972,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL027-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n010.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 22:53:31 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 10.90/2.92 % (1390577)Input is clausal, will run a generic CNF schedule.
% 10.90/2.92 % (1390586)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3283888750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.90/2.92 % (1390587)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=239762872:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.90/2.92 % (1390585)lrs+10_1_sil=8000:sp=occurrence:random_seed=2486993980:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.90/2.92 % (1390583)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3812927872:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.90/2.92 % (1390584)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3565378127:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.90/2.92 % (1390582)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=2214668407:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.90/2.92 % (1390586)Instruction limit reached!
% 10.90/2.92 % (1390586)------------------------------
% 10.90/2.92 % (1390586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390586)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390586)Termination reason: Instruction limit
% 10.90/2.92 % (1390586)Termination phase: Saturation
% 10.90/2.92 % (1390586)Time elapsed: 0.063 s
% 10.90/2.92 % (1390586)Peak memory usage: 89 MB
% 10.90/2.92 % (1390586)Instructions burned: 115 (million)
% 10.90/2.92 % (1390588)dis-21_1_sil=8000:lcm=predicate:random_seed=2000295548: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)
% 10.90/2.92 % (1390588)Refutation not found, incomplete strategy
% 10.90/2.92 % (1390588)------------------------------
% 10.90/2.92 % (1390588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390588)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390588)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.92 % (1390588)Time elapsed: 0.003 s
% 10.90/2.92 % (1390588)Peak memory usage: 88 MB
% 10.90/2.92 % (1390588)Instructions burned: 1 (million)
% 10.90/2.92 % (1390585)Instruction limit reached!
% 10.90/2.92 % (1390585)------------------------------
% 10.90/2.92 % (1390585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390585)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390585)Termination reason: Instruction limit
% 10.90/2.92 % (1390585)Termination phase: Saturation
% 10.90/2.92 % (1390585)Time elapsed: 0.108 s
% 10.90/2.92 % (1390585)Peak memory usage: 89 MB
% 10.90/2.92 % (1390585)Instructions burned: 107 (million)
% 10.90/2.92 % (1390587)Instruction limit reached!
% 10.90/2.92 % (1390587)------------------------------
% 10.90/2.92 % (1390587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390587)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390587)Termination reason: Instruction limit
% 10.90/2.92 % (1390587)Termination phase: Saturation
% 10.90/2.92 % (1390587)Time elapsed: 0.173 s
% 10.90/2.92 % (1390587)Peak memory usage: 90 MB
% 10.90/2.92 % (1390587)Instructions burned: 181 (million)
% 10.90/2.92 % (1390597)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=3527244677:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.90/2.92 % (1390597)Instruction limit reached!
% 10.90/2.92 % (1390597)------------------------------
% 10.90/2.92 % (1390597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390597)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390597)Termination reason: Instruction limit
% 10.90/2.92 % (1390597)Termination phase: Saturation
% 10.90/2.92 % (1390597)Time elapsed: 0.069 s
% 10.90/2.92 % (1390597)Peak memory usage: 89 MB
% 10.90/2.92 % (1390597)Instructions burned: 144 (million)
% 10.90/2.92 % (1390588)------------------------------
% 10.90/2.92 % (1390588)------------------------------
% 10.90/2.92 % (1390598)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2532367276:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.90/2.92 % (1390599)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1434921910:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.90/2.92 % (1390601)lrs+10_64_to=lpo:sil=8000:random_seed=1764112833:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.90/2.92 % (1390601)Instruction limit reached!
% 10.90/2.92 % (1390601)------------------------------
% 10.90/2.92 % (1390601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390601)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390601)Termination reason: Instruction limit
% 10.90/2.92 % (1390601)Termination phase: Saturation
% 10.90/2.92 % (1390601)Time elapsed: 0.086 s
% 10.90/2.92 % (1390601)Peak memory usage: 89 MB
% 10.90/2.92 % (1390601)Instructions burned: 126 (million)
% 10.90/2.92 % (1390598)Instruction limit reached!
% 10.90/2.92 % (1390598)------------------------------
% 10.90/2.92 % (1390598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390598)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390598)Termination reason: Instruction limit
% 10.90/2.92 % (1390598)Termination phase: Saturation
% 10.90/2.92 % (1390598)Time elapsed: 0.189 s
% 10.90/2.92 % (1390598)Peak memory usage: 91 MB
% 10.90/2.92 % (1390598)Instructions burned: 190 (million)
% 10.90/2.92 % (1390599)Instruction limit reached!
% 10.90/2.92 % (1390599)------------------------------
% 10.90/2.92 % (1390599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390599)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390599)Termination reason: Instruction limit
% 10.90/2.92 % (1390599)Termination phase: Saturation
% 10.90/2.92 % (1390599)Time elapsed: 0.211 s
% 10.90/2.92 % (1390599)Peak memory usage: 91 MB
% 10.90/2.92 % (1390599)Instructions burned: 219 (million)
% 10.90/2.92 % (1390603)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3163723795:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.90/2.92 % (1390603)Instruction limit reached!
% 10.90/2.92 % (1390603)------------------------------
% 10.90/2.92 % (1390603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390603)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390603)Termination reason: Instruction limit
% 10.90/2.92 % (1390603)Termination phase: Saturation
% 10.90/2.92 % (1390603)Time elapsed: 0.107 s
% 10.90/2.92 % (1390603)Peak memory usage: 90 MB
% 10.90/2.92 % (1390603)Instructions burned: 195 (million)
% 10.90/2.92 % (1390606)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1183840265:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.90/2.92 % (1390609)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=335464405:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 10.90/2.92 % (1390607)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1327191546:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.90/2.92 % (1390606)Instruction limit reached!
% 10.90/2.92 % (1390606)------------------------------
% 10.90/2.92 % (1390606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390606)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390606)Termination reason: Instruction limit
% 10.90/2.92 % (1390606)Termination phase: Saturation
% 10.90/2.92 % (1390606)Time elapsed: 0.169 s
% 10.90/2.92 % (1390606)Peak memory usage: 91 MB
% 10.90/2.92 % (1390606)Instructions burned: 157 (million)
% 10.90/2.92 % (1390609)Instruction limit reached!
% 10.90/2.92 % (1390609)------------------------------
% 10.90/2.92 % (1390609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390609)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390609)Termination reason: Instruction limit
% 10.90/2.92 % (1390609)Termination phase: Saturation
% 10.90/2.92 % (1390609)Time elapsed: 0.092 s
% 10.90/2.92 % (1390609)Peak memory usage: 89 MB
% 10.90/2.92 % (1390609)Instructions burned: 106 (million)
% 10.90/2.92 % (1390610)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4081160375:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 10.90/2.92 % (1390610)Instruction limit reached!
% 10.90/2.92 % (1390610)------------------------------
% 10.90/2.92 % (1390610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390610)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390610)Termination reason: Instruction limit
% 10.90/2.92 % (1390610)Termination phase: Saturation
% 10.90/2.92 % (1390610)Time elapsed: 0.097 s
% 10.90/2.92 % (1390610)Peak memory usage: 88 MB
% 10.90/2.92 % (1390610)Instructions burned: 107 (million)
% 10.90/2.92 % (1390615)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1627725772:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 10.90/2.92 % (1390616)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=567125782:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 10.90/2.92 % (1390584)First to succeed.
% 10.90/2.92 % (1390584)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1390577"
% 10.90/2.92 % (1390619)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=651576144:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 10.90/2.92 % (1390615)Instruction limit reached!
% 10.90/2.92 % (1390615)------------------------------
% 10.90/2.92 % (1390615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390615)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390615)Termination reason: Instruction limit
% 10.90/2.92 % (1390615)Termination phase: Saturation
% 10.90/2.92 % (1390615)Time elapsed: 0.216 s
% 10.90/2.92 % (1390615)Peak memory usage: 89 MB
% 10.90/2.92 % (1390615)Instructions burned: 242 (million)
% 10.90/2.92 % (1390619)Instruction limit reached!
% 10.90/2.92 % (1390619)------------------------------
% 10.90/2.92 % (1390619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.92 % (1390619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.92 % (1390619)CaDiCaL version: 2.1.3
% 10.90/2.92 % (1390619)Termination reason: Instruction limit
% 10.90/2.92 % (1390619)Termination phase: Saturation
% 10.90/2.92 % (1390619)Time elapsed: 0.127 s
% 10.90/2.92 % (1390619)Peak memory usage: 89 MB
% 10.90/2.92 % (1390619)Instructions burned: 134 (million)
% 10.90/2.92 % (1390584)Refutation found. Thanks to Tanya!
% 10.90/2.92 % SZS status Unsatisfiable for theBenchmark
% 10.90/2.92 % SZS output start Proof for theBenchmark
% See solution above
% 14.28/3.18 % (1390584)------------------------------
% 14.28/3.18 % (1390584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.28/3.18 % (1390584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/3.18 % (1390584)CaDiCaL version: 2.1.3
% 14.28/3.18 % (1390584)Termination reason: Refutation
% 14.28/3.18 % (1390584)Time elapsed: 1.365 s
% 14.28/3.18 % (1390584)Peak memory usage: 137 MB
% 14.28/3.18 % (1390584)Instructions burned: 1730 (million)
% 14.28/3.18 % (1390584)------------------------------
% 14.28/3.18 % (1390584)------------------------------
% 14.28/3.18 % (1390577)Success in time 1.907 s
% 14.28/3.18 % Vampire exiting
%------------------------------------------------------------------------------