%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL044+1 : 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 : n017.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 12:34:06 PM UTC 2026
% Result : Theorem 38.79s 6.46s
% Output : Refutation 39.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 20
% Syntax : Number of formulae : 154 ( 150 unt; 7 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 193 ( 190 !; 3 ?)
% 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(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(f14,conjecture,
! [X0,X1,X2] :
( join(composition(complement(X0),X1),complement(X2)) = complement(X2)
=> join(composition(X2,converse(X1)),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(complement(X0),X1),complement(X2)) = complement(X2)
=> join(composition(X2,converse(X1)),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( join(composition(X2,converse(X1)),X0) != X0
& join(composition(complement(X0),X1),complement(X2)) = complement(X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( sK0 != join(composition(sK2,converse(sK1)),sK0)
& complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
sK0 != join(composition(sK2,converse(sK1)),sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,definition,
sF3 = converse(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
converse(sK1) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = composition(sK2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
composition(sK2,sF3) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = join(sF4,sK0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
join(sF4,sK0) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
sK0 != sF5,
inference(definition_folding,[],[f32,f39,f37,f35]) ).
fof(f41,definition,
sF6 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
complement(sK2) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sK0) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = composition(sF7,sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
composition(sF7,sK1) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = join(sF8,sF6),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
join(sF8,sF6) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
sF6 = sF9,
inference(definition_folding,[],[f31,f48,f42,f46,f44,f42]) ).
fof(f50,plain,
zero = complement(top),
inference(backward_demodulation,[],[f33,f29]) ).
fof(f51,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f28,f18]) ).
fof(f52,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f20,f18]) ).
fof(f53,plain,
sF5 = join(sK0,sF4),
inference(forward_demodulation,[],[f39,f18]) ).
fof(f54,plain,
sF6 = join(sF8,sF6),
inference(forward_demodulation,[],[f48,f49]) ).
fof(f55,plain,
sF6 = join(sF6,sF8),
inference(forward_demodulation,[],[f54,f18]) ).
fof(f58,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f69,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f79,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f52,f18]) ).
fof(f90,plain,
! [X0] : composition(join(sK2,X0),sF3) = join(sF4,composition(X0,sF3)),
inference(superposition,[],[f24,f37]) ).
fof(f108,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f52,f29]) ).
fof(f109,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f108,f50]) ).
fof(f115,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f51,f25]) ).
fof(f126,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f19,f52]) ).
fof(f130,plain,
! [X0] : join(sK0,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f19,f53]) ).
fof(f136,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f153,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f126,f29]) ).
fof(f169,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f153,f136]) ).
fof(f177,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f169,f50]) ).
fof(f216,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f79,f29]) ).
fof(f219,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,complement(join(complement(complement(X1)),complement(X0)))),
inference(superposition,[],[f126,f79]) ).
fof(f228,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(complement(X1)),complement(X0)))),
inference(forward_demodulation,[],[f219,f18]) ).
fof(f229,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f216,f18]) ).
fof(f245,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f229,f18]) ).
fof(f254,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f245,f50]) ).
fof(f261,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f109,f254]) ).
fof(f271,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(X1,complement(X0)))),
inference(backward_demodulation,[],[f228,f261]) ).
fof(f272,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f254,f261]) ).
fof(f284,plain,
sK0 = complement(sF7),
inference(superposition,[],[f261,f44]) ).
fof(f285,plain,
sK2 = complement(sF6),
inference(superposition,[],[f261,f42]) ).
fof(f288,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f52,f261]) ).
fof(f291,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f79,f261]) ).
fof(f309,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f291,f18]) ).
fof(f313,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(complement(join(complement(X1),X0))),complement(join(X0,X1))))),
inference(superposition,[],[f291,f291]) ).
fof(f318,plain,
! [X0,X1] : complement(X1) = join(complement(join(X1,complement(X0))),complement(join(X0,X1))),
inference(superposition,[],[f291,f261]) ).
fof(f332,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f318,f18]) ).
fof(f335,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f313,f18]) ).
fof(f345,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f335,f261]) ).
fof(f351,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f345,f136]) ).
fof(f355,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f351,f18]) ).
fof(f357,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f355,f261]) ).
fof(f358,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f357,f261]) ).
fof(f435,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f69,f23]) ).
fof(f445,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f435,f25]) ).
fof(f454,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f51,f445]) ).
fof(f459,plain,
one = converse(one),
inference(superposition,[],[f23,f445]) ).
fof(f460,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f445,f459]) ).
fof(f464,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f454,f460]) ).
fof(f468,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f177,f464]) ).
fof(f469,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,X0)),
inference(forward_demodulation,[],[f468,f261]) ).
fof(f496,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f469,f288]) ).
fof(f513,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f496,f18]) ).
fof(f522,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f513,f288]) ).
fof(f528,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[],[f272,f522]) ).
fof(f547,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f261,f528]) ).
fof(f552,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f547,f261]) ).
fof(f599,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f19,f552]) ).
fof(f664,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f58,f29]) ).
fof(f736,plain,
complement(sF8) = join(complement(sF6),complement(join(sF8,complement(sF6)))),
inference(superposition,[],[f332,f55]) ).
fof(f752,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f291,f332]) ).
fof(f761,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f752,f18]) ).
fof(f771,plain,
complement(sF8) = join(sK2,complement(join(sF8,sK2))),
inference(forward_demodulation,[],[f736,f285]) ).
fof(f784,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f761,f18]) ).
fof(f793,plain,
complement(sF8) = join(sK2,complement(join(sK2,sF8))),
inference(forward_demodulation,[],[f771,f18]) ).
fof(f804,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f784,f19]) ).
fof(f820,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f804,f261]) ).
fof(f833,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f820,f261]) ).
fof(f994,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f599,f18]) ).
fof(f1003,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f599,f332]) ).
fof(f1007,plain,
sF5 = join(sK0,sF5),
inference(superposition,[],[f599,f53]) ).
fof(f1030,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1003,f18]) ).
fof(f1039,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f358,f1030]) ).
fof(f1045,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f833,f1039]) ).
fof(f1047,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1045,f994]) ).
fof(f1059,plain,
complement(sF8) = join(sK2,complement(sF8)),
inference(backward_demodulation,[],[f793,f1047]) ).
fof(f1072,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1047,f664]) ).
fof(f1314,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f1030,f261]) ).
fof(f1378,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f271,f1314]) ).
fof(f1459,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f1378,f664]) ).
fof(f1491,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(backward_demodulation,[],[f1072,f1459]) ).
fof(f1959,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f309,f1491]) ).
fof(f1961,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f58,f1491]) ).
fof(f1964,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1961,f25]) ).
fof(f1966,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1959,f18]) ).
fof(f1980,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1966,f261]) ).
fof(f1987,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f1980,f1047]) ).
fof(f1989,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f1987,f261]) ).
fof(f1990,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f1989,f1964]) ).
fof(f2627,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f1990,f261]) ).
fof(f3359,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f25,f2627]) ).
fof(f3360,plain,
! [X0,X1] : join(complement(X0),converse(X1)) = converse(join(complement(converse(X0)),X1)),
inference(superposition,[],[f26,f2627]) ).
fof(f3363,plain,
! [X0,X1] : converse(composition(X1,complement(converse(X0)))) = composition(complement(X0),converse(X1)),
inference(superposition,[],[f27,f2627]) ).
fof(f4876,plain,
composition(complement(sF8),sF3) = join(sF4,composition(complement(sF8),sF3)),
inference(superposition,[],[f90,f1059]) ).
fof(f6909,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(composition(converse(X1),converse(X0)))))),
inference(superposition,[],[f3360,f115]) ).
fof(f6982,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(forward_demodulation,[],[f6909,f27]) ).
fof(f7009,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f6982,f3363]) ).
fof(f7027,plain,
! [X0,X1] : complement(converse(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f7009,f3359]) ).
fof(f7040,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f7027,f25]) ).
fof(f7075,plain,
complement(sF7) = join(complement(sF7),composition(complement(sF8),converse(sK1))),
inference(superposition,[],[f7040,f46]) ).
fof(f7135,plain,
complement(sF7) = join(complement(sF7),composition(complement(sF8),sF3)),
inference(forward_demodulation,[],[f7075,f35]) ).
fof(f7156,plain,
sK0 = join(sK0,composition(complement(sF8),sF3)),
inference(forward_demodulation,[],[f7135,f284]) ).
fof(f12909,plain,
join(sK0,composition(complement(sF8),sF3)) = join(sF5,composition(complement(sF8),sF3)),
inference(superposition,[],[f130,f4876]) ).
fof(f12953,plain,
sK0 = join(sF5,composition(complement(sF8),sF3)),
inference(forward_demodulation,[],[f12909,f7156]) ).
fof(f12976,plain,
sK0 = join(sF5,sK0),
inference(superposition,[],[f599,f12953]) ).
fof(f13006,plain,
sK0 = join(sK0,sF5),
inference(forward_demodulation,[],[f12976,f18]) ).
fof(f13027,plain,
sK0 = sF5,
inference(backward_demodulation,[],[f1007,f13006]) ).
fof(f13040,plain,
$false,
inference(forward_subsumption_resolution,[],[f13027,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL044+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:52:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 18.63/3.63 % (3047973)Detected formulas, will run a generic FOF schedule.
% 18.63/3.63 % (3047999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2273961293:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.63/3.63 % (3047998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2877319020:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.63/3.63 % (3047994)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=3655444640:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.63/3.63 % (3047999)Instruction limit reached!
% 18.63/3.63 % (3047999)------------------------------
% 18.63/3.63 % (3047999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/3.63 % (3047999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/3.63 % (3047999)CaDiCaL version: 2.1.3
% 18.63/3.63 % (3047999)Termination reason: Instruction limit
% 18.63/3.63 % (3047999)Termination phase: Saturation
% 18.63/3.63 % (3047999)Time elapsed: 0.061 s
% 18.63/3.63 % (3047999)Peak memory usage: 90 MB
% 18.63/3.63 % (3047999)Instructions burned: 140 (million)
% 18.63/3.63 % (3047996)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=4009413580:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.63/3.63 % (3047997)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3051496999:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.63/3.63 % (3047995)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=1108889515:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.63/3.63 % (3048000)dis-21_1_sil=8000:lcm=predicate:random_seed=566148664: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)
% 18.63/3.63 % (3048000)Refutation not found, incomplete strategy
% 18.63/3.63 % (3048000)------------------------------
% 18.63/3.63 % (3048000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/3.63 % (3048000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/3.63 % (3048000)CaDiCaL version: 2.1.3
% 18.63/3.63 % (3048000)Termination reason: Refutation not found, incomplete strategy
% 18.63/3.63 % (3048000)Time elapsed: 0.002 s
% 18.63/3.63 % (3048000)Peak memory usage: 88 MB
% 18.63/3.63 % (3048000)Instructions burned: 1 (million)
% 18.63/3.63 % (3047998)Instruction limit reached!
% 18.63/3.63 % (3047998)------------------------------
% 18.63/3.63 % (3047998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/3.63 % (3047998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/3.63 % (3047998)CaDiCaL version: 2.1.3
% 18.63/3.63 % (3047998)Termination reason: Instruction limit
% 18.63/3.63 % (3047998)Termination phase: Saturation
% 18.63/3.63 % (3047998)Time elapsed: 0.112 s
% 18.63/3.63 % (3047998)Peak memory usage: 88 MB
% 18.63/3.63 % (3047998)Instructions burned: 120 (million)
% 18.63/3.63 % (3047997)Instruction limit reached!
% 18.63/3.63 % (3047997)------------------------------
% 18.63/3.63 % (3047997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/3.63 % (3047997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/3.63 % (3047997)CaDiCaL version: 2.1.3
% 18.63/3.63 % (3047997)Termination reason: Instruction limit
% 18.63/3.63 % (3047997)Termination phase: Saturation
% 18.63/3.63 % (3047997)Time elapsed: 0.108 s
% 18.63/3.63 % (3047997)Peak memory usage: 89 MB
% 18.63/3.63 % (3047997)Instructions burned: 109 (million)
% 18.63/3.63 % (3048009)lrs+10_1_sil=8000:sp=occurrence:random_seed=1047210314:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.63/3.63 % (3048013)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1565040891:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.63/3.63 % (3048009)Instruction limit reached!
% 18.63/3.63 % (3048009)------------------------------
% 18.63/3.63 % (3048009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/3.63 % (3048009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/3.63 % (3048009)CaDiCaL version: 2.1.3
% 18.63/3.63 % (3048009)Termination reason: Instruction limit
% 18.63/3.63 % (3048009)Termination phase: Saturation
% 24.33/4.48 % (3048009)Time elapsed: 0.140 s
% 24.33/4.48 % (3048009)Peak memory usage: 91 MB
% 24.33/4.48 % (3048009)Instructions burned: 287 (million)
% 24.33/4.48 % (3048015)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2316609644:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 24.33/4.48 % (3048000)------------------------------
% 24.33/4.48 % (3048000)------------------------------
% 24.33/4.48 % (3048013)Instruction limit reached!
% 24.33/4.48 % (3048013)------------------------------
% 24.33/4.48 % (3048013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048013)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048013)Termination reason: Instruction limit
% 24.33/4.48 % (3048013)Termination phase: Saturation
% 24.33/4.48 % (3048013)Time elapsed: 0.166 s
% 24.33/4.48 % (3048013)Peak memory usage: 90 MB
% 24.33/4.48 % (3048013)Instructions burned: 157 (million)
% 24.33/4.48 % (3048019)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=2765759936:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 24.33/4.48 % (3048019)Instruction limit reached!
% 24.33/4.48 % (3048019)------------------------------
% 24.33/4.48 % (3048019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048019)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048019)Termination reason: Instruction limit
% 24.33/4.48 % (3048019)Termination phase: Saturation
% 24.33/4.48 % (3048019)Time elapsed: 0.116 s
% 24.33/4.48 % (3048019)Peak memory usage: 92 MB
% 24.33/4.48 % (3048019)Instructions burned: 249 (million)
% 24.33/4.48 % (3048022)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3988001468:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 24.33/4.48 % (3048015)Instruction limit reached!
% 24.33/4.48 % (3048015)------------------------------
% 24.33/4.48 % (3048015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048015)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048015)Termination reason: Instruction limit
% 24.33/4.48 % (3048015)Termination phase: Saturation
% 24.33/4.48 % (3048015)Time elapsed: 0.332 s
% 24.33/4.48 % (3048015)Peak memory usage: 91 MB
% 24.33/4.48 % (3048015)Instructions burned: 325 (million)
% 24.33/4.48 % (3048025)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3817714070:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 24.33/4.48 % (3048026)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1429008787:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 24.33/4.48 % (3048026)Instruction limit reached!
% 24.33/4.48 % (3048026)------------------------------
% 24.33/4.48 % (3048026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048026)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048026)Termination reason: Instruction limit
% 24.33/4.48 % (3048026)Termination phase: Saturation
% 24.33/4.48 % (3048026)Time elapsed: 0.057 s
% 24.33/4.48 % (3048026)Peak memory usage: 89 MB
% 24.33/4.48 % (3048026)Instructions burned: 114 (million)
% 24.33/4.48 % (3048030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1414911224:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 24.33/4.48 % (3048030)Refutation not found, incomplete strategy
% 24.33/4.48 % (3048030)------------------------------
% 24.33/4.48 % (3048030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048030)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048030)Termination reason: Refutation not found, incomplete strategy
% 24.33/4.48 % (3048030)Time elapsed: 0.002 s
% 24.33/4.48 % (3048030)Peak memory usage: 87 MB
% 24.33/4.48 % (3048022)Instruction limit reached!
% 24.33/4.48 % (3048022)------------------------------
% 24.33/4.48 % (3048022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/4.48 % (3048022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/4.48 % (3048022)CaDiCaL version: 2.1.3
% 24.33/4.48 % (3048022)Termination reason: Instruction limit
% 38.79/6.46 % (3048022)Termination phase: Saturation
% 38.79/6.46 % (3048022)Time elapsed: 0.285 s
% 38.79/6.46 % (3048022)Peak memory usage: 90 MB
% 38.79/6.46 % (3048022)Instructions burned: 295 (million)
% 38.79/6.46 % (3048033)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4155695446:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 38.79/6.46 % (3048033)Instruction limit reached!
% 38.79/6.46 % (3048033)------------------------------
% 38.79/6.46 % (3048033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048033)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048033)Termination reason: Instruction limit
% 38.79/6.46 % (3048033)Termination phase: Saturation
% 38.79/6.46 % (3048033)Time elapsed: 0.111 s
% 38.79/6.46 % (3048033)Peak memory usage: 89 MB
% 38.79/6.46 % (3048033)Instructions burned: 114 (million)
% 38.79/6.46 % (3048036)lrs+10_1_sil=8000:sp=occurrence:random_seed=918486391:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 38.79/6.46 % (3048030)------------------------------
% 38.79/6.46 % (3048030)------------------------------
% 38.79/6.46 % (3048040)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3529798207:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 38.79/6.46 % (3048043)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2808290098:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 38.79/6.46 % (3048040)Instruction limit reached!
% 38.79/6.46 % (3048040)------------------------------
% 38.79/6.46 % (3048040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048040)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048040)Termination reason: Instruction limit
% 38.79/6.46 % (3048040)Termination phase: Saturation
% 38.79/6.46 % (3048040)Time elapsed: 0.330 s
% 38.79/6.46 % (3048040)Peak memory usage: 91 MB
% 38.79/6.46 % (3048040)Instructions burned: 437 (million)
% 38.79/6.46 % (3048048)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=840891116:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 38.79/6.46 % (3048048)Refutation not found, incomplete strategy
% 38.79/6.46 % (3048048)------------------------------
% 38.79/6.46 % (3048048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048048)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048048)Termination reason: Refutation not found, incomplete strategy
% 38.79/6.46 % (3048048)Time elapsed: 0.002 s
% 38.79/6.46 % (3048048)Peak memory usage: 89 MB
% 38.79/6.46 % (3048048)Instructions burned: 1 (million)
% 38.79/6.46 % (3048036)Instruction limit reached!
% 38.79/6.46 % (3048036)------------------------------
% 38.79/6.46 % (3048036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048036)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048036)Termination reason: Instruction limit
% 38.79/6.46 % (3048036)Termination phase: Saturation
% 38.79/6.46 % (3048036)Time elapsed: 0.699 s
% 38.79/6.46 % (3048036)Peak memory usage: 96 MB
% 38.79/6.46 % (3048036)Instructions burned: 907 (million)
% 38.79/6.46 % (3048050)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4023627540:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 38.79/6.46 % (3048048)------------------------------
% 38.79/6.46 % (3048048)------------------------------
% 38.79/6.46 % (3048081)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2200372759:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 38.79/6.46 % (3048050)Instruction limit reached!
% 38.79/6.46 % (3048050)------------------------------
% 38.79/6.46 % (3048050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048050)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048050)Termination reason: Instruction limit
% 38.79/6.46 % (3048050)Termination phase: Saturation
% 38.79/6.46 % (3048050)Time elapsed: 0.352 s
% 38.79/6.46 % (3048050)Peak memory usage: 95 MB
% 38.79/6.46 % (3048050)Instructions burned: 593 (million)
% 38.79/6.46 % (3048160)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=1813495366:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 38.79/6.46 % (3048025)Instruction limit reached!
% 38.79/6.46 % (3048025)------------------------------
% 38.79/6.46 % (3048025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048025)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048025)Termination reason: Instruction limit
% 38.79/6.46 % (3048025)Termination phase: Saturation
% 38.79/6.46 % (3048025)Time elapsed: 1.832 s
% 38.79/6.46 % (3048025)Peak memory usage: 140 MB
% 38.79/6.46 % (3048025)Instructions burned: 2351 (million)
% 38.79/6.46 % (3048160)Instruction limit reached!
% 38.79/6.46 % (3048160)------------------------------
% 38.79/6.46 % (3048160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048160)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048160)Termination reason: Instruction limit
% 38.79/6.46 % (3048160)Termination phase: Saturation
% 38.79/6.46 % (3048160)Time elapsed: 0.084 s
% 38.79/6.46 % (3048160)Peak memory usage: 90 MB
% 38.79/6.46 % (3048160)Instructions burned: 126 (million)
% 38.79/6.46 % (3048209)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3786331755:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 38.79/6.46 % (3048210)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1023658822:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 38.79/6.46 % (3048210)Refutation not found, incomplete strategy
% 38.79/6.46 % (3048210)------------------------------
% 38.79/6.46 % (3048210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048210)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048210)Termination reason: Refutation not found, incomplete strategy
% 38.79/6.46 % (3048210)Time elapsed: 0.001 s
% 38.79/6.46 % (3048210)Peak memory usage: 88 MB
% 38.79/6.46 % (3048209)Instruction limit reached!
% 38.79/6.46 % (3048209)------------------------------
% 38.79/6.46 % (3048209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048209)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048209)Termination reason: Instruction limit
% 38.79/6.46 % (3048209)Termination phase: Saturation
% 38.79/6.46 % (3048209)Time elapsed: 0.071 s
% 38.79/6.46 % (3048209)Peak memory usage: 88 MB
% 38.79/6.46 % (3048209)Instructions burned: 135 (million)
% 38.79/6.46 % (3048213)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=239212247:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 38.79/6.46 % (3048213)Refutation not found, incomplete strategy
% 38.79/6.46 % (3048213)------------------------------
% 38.79/6.46 % (3048213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048213)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048213)Termination reason: Refutation not found, incomplete strategy
% 38.79/6.46 % (3048213)Time elapsed: 0.001 s
% 38.79/6.46 % (3048213)Peak memory usage: 88 MB
% 38.79/6.46 % (3048213)Instructions burned: 1 (million)
% 38.79/6.46 % (3048210)------------------------------
% 38.79/6.46 % (3048210)------------------------------
% 38.79/6.46 % (3048215)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=1212115968:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 38.79/6.46 % (3048213)------------------------------
% 38.79/6.46 % (3048213)------------------------------
% 38.79/6.46 % (3048217)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=2411323232:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 38.79/6.46 % (3048217)Instruction limit reached!
% 38.79/6.46 % (3048217)------------------------------
% 38.79/6.46 % (3048217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048217)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048217)Termination reason: Instruction limit
% 38.79/6.46 % (3048217)Termination phase: Saturation
% 38.79/6.46 % (3048217)Time elapsed: 0.089 s
% 38.79/6.46 % (3048217)Peak memory usage: 90 MB
% 38.79/6.46 % (3048217)Instructions burned: 151 (million)
% 38.79/6.46 % (3048219)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3576344515:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 38.79/6.46 % (3048043)Instruction limit reached!
% 38.79/6.46 % (3048043)------------------------------
% 38.79/6.46 % (3048043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048043)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048043)Termination reason: Instruction limit
% 38.79/6.46 % (3048043)Termination phase: Saturation
% 38.79/6.46 % (3048043)Time elapsed: 3.165 s
% 38.79/6.46 % (3048043)Peak memory usage: 165 MB
% 38.79/6.46 % (3048043)Instructions burned: 5203 (million)
% 38.79/6.46 % (3048221)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2527679137:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 38.79/6.46 % (3048219)First to succeed.
% 38.79/6.46 % (3048219)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3047973"
% 38.79/6.46 % (3048221)Instruction limit reached!
% 38.79/6.46 % (3048221)------------------------------
% 38.79/6.46 % (3048221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.79/6.46 % (3048221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.79/6.46 % (3048221)CaDiCaL version: 2.1.3
% 38.79/6.46 % (3048221)Termination reason: Instruction limit
% 38.79/6.46 % (3048221)Termination phase: Saturation
% 38.79/6.46 % (3048221)Time elapsed: 0.273 s
% 38.79/6.46 % (3048221)Peak memory usage: 89 MB
% 38.79/6.46 % (3048221)Instructions burned: 667 (million)
% 38.79/6.46 % (3048223)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1526546554:s2a=on:i=185:s2at=1.8:fdi=4_2947 on theBenchmark for (2947ds/185Mi)
% 38.79/6.46 % (3048219)Refutation found. Thanks to Tanya!
% 38.79/6.46 % SZS status Theorem for theBenchmark
% 38.79/6.46 % SZS output start Proof for theBenchmark
% See solution above
% 39.47/6.65 % (3048219)------------------------------
% 39.47/6.65 % (3048219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.47/6.65 % (3048219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.65 % (3048219)CaDiCaL version: 2.1.3
% 39.47/6.65 % (3048219)Termination reason: Refutation
% 39.47/6.65 % (3048219)Time elapsed: 1.572 s
% 39.47/6.65 % (3048219)Peak memory usage: 144 MB
% 39.47/6.65 % (3048219)Instructions burned: 2540 (million)
% 39.47/6.65 % (3048219)------------------------------
% 39.47/6.65 % (3048219)------------------------------
% 39.47/6.65 % (3047973)Success in time 5.48 s
% 39.47/6.65 % Vampire exiting
%------------------------------------------------------------------------------