%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL035+1 : 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 : n006.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 12:34:00 PM UTC 2026
% Result : Theorem 18.65s 3.55s
% Output : Refutation 19.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 26
% Syntax : Number of formulae : 187 ( 183 unt; 12 def)
% Number of atoms : 191 ( 190 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 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 : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 183 ( 180 !; 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
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] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(X1,meet(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(X1,meet(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( composition(meet(X1,converse(X0)),meet(X0,X2)) != composition(X1,meet(X0,X2))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(sK1,meet(sK0,sK2))
& sK0 = composition(sK0,top) ),
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(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(sK1,meet(sK0,sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != composition(sK1,complement(join(complement(sK0),complement(sK2)))),
inference(definition_unfolding,[],[f32,f21,f21,f21]) ).
fof(f35,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f50,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f52,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f54,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF13 = composition(sK1,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f56,plain,
composition(sK1,sF11) = sF13,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
sF12 != sF13,
inference(definition_folding,[],[f34,f56,f52,f50,f48,f46,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f58,definition,
sF14 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f59,plain,
composition(sK0,top) = sF14,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sK0 = sF14,
inference(definition_folding,[],[f31,f59]) ).
fof(f61,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f59,f60]) ).
fof(f62,plain,
sK0 = converse(sF4),
inference(superposition,[],[f25,f38]) ).
fof(f64,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f66,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f71,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f28,f61]) ).
fof(f74,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f71,f46]) ).
fof(f75,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f74,f38]) ).
fof(f81,plain,
! [X0] : composition(join(sK1,X0),sF11) = join(sF13,composition(X0,sF11)),
inference(superposition,[],[f24,f56]) ).
fof(f83,plain,
! [X0] : composition(join(X0,sF7),sF11) = join(composition(X0,sF11),sF12),
inference(superposition,[],[f24,f54]) ).
fof(f93,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f27,f25]) ).
fof(f95,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f97,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f129,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f139,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f143,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f18,f20]) ).
fof(f151,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f197,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f216,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f95,f23]) ).
fof(f228,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f216,f25]) ).
fof(f241,plain,
one = converse(one),
inference(superposition,[],[f23,f228]) ).
fof(f246,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f228,f241]) ).
fof(f260,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f246]) ).
fof(f261,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f260,f228]) ).
fof(f280,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f64,f29]) ).
fof(f321,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f139,f29]) ).
fof(f339,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f321,f151]) ).
fof(f345,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f339,f261]) ).
fof(f397,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f197,f261]) ).
fof(f405,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f397,f20]) ).
fof(f439,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f405,f33]) ).
fof(f496,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f439]) ).
fof(f502,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f345,f439]) ).
fof(f509,plain,
top = complement(zero),
inference(superposition,[],[f502,f151]) ).
fof(f510,plain,
sK0 = complement(sF8),
inference(superposition,[],[f502,f46]) ).
fof(f511,plain,
sK1 = complement(sF3),
inference(superposition,[],[f502,f36]) ).
fof(f528,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f261,f502]) ).
fof(f530,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f405,f502]) ).
fof(f548,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f530,f18]) ).
fof(f561,plain,
complement(sF8) = join(complement(sF8),complement(sF10)),
inference(superposition,[],[f530,f50]) ).
fof(f579,plain,
complement(sF8) = join(complement(sF8),sF11),
inference(forward_demodulation,[],[f561,f52]) ).
fof(f593,plain,
sK0 = join(sK0,sF11),
inference(forward_demodulation,[],[f579,f510]) ).
fof(f605,plain,
sK0 = join(sF11,sK0),
inference(superposition,[],[f18,f593]) ).
fof(f637,plain,
! [X0] : complement(zero) = join(complement(zero),complement(X0)),
inference(superposition,[],[f548,f345]) ).
fof(f669,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f637,f509]) ).
fof(f709,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f669,f502]) ).
fof(f971,plain,
top = converse(top),
inference(superposition,[],[f709,f280]) ).
fof(f1046,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f129,f502]) ).
fof(f1078,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f139,f129]) ).
fof(f1097,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f1078,f19]) ).
fof(f1129,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1097,f405]) ).
fof(f1183,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1129,f502]) ).
fof(f1300,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1183,f18]) ).
fof(f1306,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1183,f280]) ).
fof(f1392,plain,
! [X0] : join(X0,complement(top)) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f1306,f971]) ).
fof(f1421,plain,
! [X0] : join(X0,zero) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f1392,f151]) ).
fof(f1436,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f1421,f439]) ).
fof(f1505,plain,
join(complement(sF3),sF5) = join(sF5,complement(sF6)),
inference(superposition,[],[f1300,f42]) ).
fof(f1561,plain,
join(complement(sF3),sF5) = join(sF5,sF7),
inference(forward_demodulation,[],[f1505,f44]) ).
fof(f1588,plain,
join(sF5,sF7) = join(sK1,sF5),
inference(forward_demodulation,[],[f1561,f511]) ).
fof(f1753,plain,
! [X0,X1] : join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))) = join(complement(join(complement(X1),X0)),complement(complement(X0))),
inference(superposition,[],[f1183,f1046]) ).
fof(f1756,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1753,f502]) ).
fof(f1830,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(join(X0,X1),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1756,f502]) ).
fof(f1891,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(X0,join(X1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f1830,f19]) ).
fof(f1927,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f1891,f405]) ).
fof(f2753,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(superposition,[],[f18,f1436]) ).
fof(f3474,plain,
! [X0] : composition(join(converse(top),X0),converse(sK0)) = join(converse(sK0),composition(X0,converse(sK0))),
inference(superposition,[],[f97,f61]) ).
fof(f3488,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f97,f27]) ).
fof(f3516,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f3488,f26]) ).
fof(f3528,plain,
! [X0] : composition(join(converse(top),X0),sF4) = join(sF4,composition(X0,sF4)),
inference(forward_demodulation,[],[f3474,f38]) ).
fof(f3535,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f3516,f26]) ).
fof(f3540,plain,
! [X0] : join(sF4,composition(X0,sF4)) = composition(join(top,X0),sF4),
inference(forward_demodulation,[],[f3528,f971]) ).
fof(f3546,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f3535,f27]) ).
fof(f3550,plain,
! [X0] : join(sF4,composition(X0,sF4)) = composition(top,sF4),
inference(forward_demodulation,[],[f3540,f709]) ).
fof(f3579,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f3546]) ).
fof(f3598,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f3579,f25]) ).
fof(f4122,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f64,f2753]) ).
fof(f4129,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f4122,f25]) ).
fof(f4592,plain,
composition(top,sF4) = join(sF4,sF4),
inference(superposition,[],[f3550,f246]) ).
fof(f4611,plain,
sF4 = composition(top,sF4),
inference(forward_demodulation,[],[f4592,f528]) ).
fof(f4617,plain,
! [X0] : composition(sF4,X0) = composition(top,composition(sF4,X0)),
inference(superposition,[],[f22,f4611]) ).
fof(f4861,plain,
join(sF13,composition(sF5,sF11)) = composition(join(sF5,sF7),sF11),
inference(superposition,[],[f81,f1588]) ).
fof(f4906,plain,
join(sF13,composition(sF5,sF11)) = join(composition(sF5,sF11),sF12),
inference(forward_demodulation,[],[f4861,f83]) ).
fof(f6649,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f143,f1436]) ).
fof(f6729,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),X0),
inference(forward_demodulation,[],[f6649,f502]) ).
fof(f6811,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f6729,f1927]) ).
fof(f6851,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f6811,f4129]) ).
fof(f6897,plain,
sF8 = converse(complement(converse(sK0))),
inference(superposition,[],[f6851,f510]) ).
fof(f6903,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f25,f6851]) ).
fof(f6918,plain,
sF8 = converse(complement(sF4)),
inference(forward_demodulation,[],[f6897,f38]) ).
fof(f6922,plain,
sF8 = converse(sF5),
inference(forward_demodulation,[],[f6918,f40]) ).
fof(f6925,plain,
sF5 = converse(sF8),
inference(superposition,[],[f25,f6922]) ).
fof(f7094,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f66,f496]) ).
fof(f7119,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f7094,f25]) ).
fof(f7473,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f75,f151]) ).
fof(f7518,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f7473,f439]) ).
fof(f7553,plain,
! [X0] : composition(join(sF4,X0),sF8) = join(zero,composition(X0,sF8)),
inference(superposition,[],[f24,f7518]) ).
fof(f7555,plain,
! [X0] : composition(join(converse(sF8),X0),converse(sF4)) = join(converse(zero),composition(X0,converse(sF4))),
inference(superposition,[],[f97,f7518]) ).
fof(f7564,plain,
! [X0] : composition(join(converse(sF8),X0),converse(sF4)) = composition(X0,converse(sF4)),
inference(forward_demodulation,[],[f7555,f7119]) ).
fof(f7566,plain,
! [X0] : composition(X0,sF8) = composition(join(sF4,X0),sF8),
inference(forward_demodulation,[],[f7553,f496]) ).
fof(f7570,plain,
! [X0] : composition(X0,sK0) = composition(join(converse(sF8),X0),sK0),
inference(forward_demodulation,[],[f7564,f62]) ).
fof(f7574,plain,
! [X0] : composition(X0,sK0) = composition(join(sF5,X0),sK0),
inference(forward_demodulation,[],[f7570,f6925]) ).
fof(f7748,plain,
! [X0] : composition(composition(X0,sF4),sF8) = composition(composition(top,sF4),sF8),
inference(superposition,[],[f7566,f3550]) ).
fof(f7789,plain,
! [X0] : composition(composition(X0,sF4),sF8) = composition(top,composition(sF4,sF8)),
inference(forward_demodulation,[],[f7748,f22]) ).
fof(f7800,plain,
! [X0] : composition(sF4,sF8) = composition(composition(X0,sF4),sF8),
inference(forward_demodulation,[],[f7789,f4617]) ).
fof(f7804,plain,
! [X0] : composition(sF4,sF8) = composition(X0,composition(sF4,sF8)),
inference(forward_demodulation,[],[f7800,f22]) ).
fof(f7805,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f7804,f7518]) ).
fof(f8368,plain,
composition(sF5,sK0) = composition(zero,sK0),
inference(superposition,[],[f7574,f439]) ).
fof(f10193,plain,
converse(zero) = complement(converse(top)),
inference(superposition,[],[f6903,f509]) ).
fof(f10194,plain,
complement(top) = converse(zero),
inference(forward_demodulation,[],[f10193,f971]) ).
fof(f10219,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f10194,f151]) ).
fof(f10239,plain,
! [X0] : converse(composition(X0,zero)) = composition(zero,converse(X0)),
inference(superposition,[],[f93,f10219]) ).
fof(f10250,plain,
! [X0] : converse(zero) = composition(zero,converse(X0)),
inference(forward_demodulation,[],[f10239,f7805]) ).
fof(f10261,plain,
! [X0] : zero = composition(zero,converse(X0)),
inference(forward_demodulation,[],[f10250,f10219]) ).
fof(f10277,plain,
zero = composition(zero,sK0),
inference(superposition,[],[f10261,f62]) ).
fof(f10303,plain,
zero = composition(sF5,sK0),
inference(forward_demodulation,[],[f10277,f8368]) ).
fof(f10367,plain,
! [X0] : composition(sF5,join(X0,sK0)) = join(composition(sF5,X0),zero),
inference(superposition,[],[f3598,f10303]) ).
fof(f10368,plain,
! [X0] : composition(sF5,X0) = composition(sF5,join(X0,sK0)),
inference(forward_demodulation,[],[f10367,f439]) ).
fof(f10402,plain,
composition(sF5,sF11) = composition(sF5,sK0),
inference(superposition,[],[f10368,f605]) ).
fof(f10429,plain,
zero = composition(sF5,sF11),
inference(forward_demodulation,[],[f10402,f10303]) ).
fof(f10556,plain,
! [X0] : composition(join(sF5,X0),sF11) = join(zero,composition(X0,sF11)),
inference(superposition,[],[f24,f10429]) ).
fof(f10569,plain,
! [X0] : composition(X0,sF11) = composition(join(sF5,X0),sF11),
inference(forward_demodulation,[],[f10556,f496]) ).
fof(f41859,plain,
composition(sF7,sF11) = join(composition(sF5,sF11),sF12),
inference(superposition,[],[f10569,f83]) ).
fof(f41888,plain,
composition(sF7,sF11) = join(sF13,composition(sF5,sF11)),
inference(forward_demodulation,[],[f41859,f4906]) ).
fof(f41918,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f41888,f10429]) ).
fof(f41936,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f41918,f439]) ).
fof(f41948,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f41936,f54]) ).
fof(f41953,plain,
$false,
inference(forward_subsumption_resolution,[],[f41948,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL035+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:55:10 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 15.84/3.06 % (3422884)Detected formulas, will run a generic FOF schedule.
% 15.84/3.06 % (3422891)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=3102321803:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.84/3.06 % (3422889)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=2790157013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.84/3.06 % (3422890)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=679269768:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.84/3.06 % (3422895)dis-21_1_sil=8000:lcm=predicate:random_seed=108534178: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)
% 15.84/3.06 % (3422892)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3287562225:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.84/3.06 % (3422894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2651354906:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.84/3.06 % (3422893)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1708767269:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.84/3.06 % (3422895)Refutation not found, incomplete strategy
% 15.84/3.06 % (3422895)------------------------------
% 15.84/3.06 % (3422895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.06 % (3422895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.06 % (3422895)CaDiCaL version: 2.1.3
% 15.84/3.06 % (3422895)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.06 % (3422895)Time elapsed: 0.001 s
% 15.84/3.06 % (3422895)Peak memory usage: 88 MB
% 15.84/3.06 % (3422895)Instructions burned: 1 (million)
% 15.84/3.06 % (3422892)Instruction limit reached!
% 15.84/3.06 % (3422892)------------------------------
% 15.84/3.06 % (3422892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.06 % (3422892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.06 % (3422892)CaDiCaL version: 2.1.3
% 15.84/3.06 % (3422892)Termination reason: Instruction limit
% 15.84/3.06 % (3422892)Termination phase: Saturation
% 15.84/3.06 % (3422892)Time elapsed: 0.067 s
% 15.84/3.06 % (3422892)Peak memory usage: 89 MB
% 15.84/3.06 % (3422892)Instructions burned: 110 (million)
% 15.84/3.06 % (3422893)Instruction limit reached!
% 15.84/3.06 % (3422893)------------------------------
% 15.84/3.06 % (3422893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.06 % (3422893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.06 % (3422893)CaDiCaL version: 2.1.3
% 15.84/3.06 % (3422893)Termination reason: Instruction limit
% 15.84/3.06 % (3422893)Termination phase: Saturation
% 15.84/3.06 % (3422893)Time elapsed: 0.068 s
% 15.84/3.06 % (3422893)Peak memory usage: 88 MB
% 15.84/3.06 % (3422893)Instructions burned: 120 (million)
% 15.84/3.06 % (3422894)Instruction limit reached!
% 15.84/3.06 % (3422894)------------------------------
% 15.84/3.06 % (3422894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.06 % (3422894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.06 % (3422894)CaDiCaL version: 2.1.3
% 15.84/3.06 % (3422894)Termination reason: Instruction limit
% 15.84/3.06 % (3422894)Termination phase: Saturation
% 15.84/3.06 % (3422894)Time elapsed: 0.082 s
% 15.84/3.06 % (3422894)Peak memory usage: 89 MB
% 15.84/3.06 % (3422894)Instructions burned: 139 (million)
% 15.84/3.06 % (3422904)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3774334200:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.84/3.06 % (3422903)lrs+10_1_sil=8000:sp=occurrence:random_seed=3409349584:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.84/3.06 % (3422895)------------------------------
% 15.84/3.06 % (3422895)------------------------------
% 15.84/3.06 % (3422905)lrs+1011_1_sil=32000:sp=occurrence:random_seed=884228415:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.84/3.06 % (3422904)Instruction limit reached!
% 15.84/3.06 % (3422904)------------------------------
% 15.84/3.06 % (3422904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422904)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422904)Termination reason: Instruction limit
% 18.65/3.55 % (3422904)Termination phase: Saturation
% 18.65/3.55 % (3422904)Time elapsed: 0.095 s
% 18.65/3.55 % (3422904)Peak memory usage: 90 MB
% 18.65/3.55 % (3422904)Instructions burned: 158 (million)
% 18.65/3.55 % (3422909)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=4199694303:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.65/3.55 % (3422903)Instruction limit reached!
% 18.65/3.55 % (3422903)------------------------------
% 18.65/3.55 % (3422903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422903)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422903)Termination reason: Instruction limit
% 18.65/3.55 % (3422903)Termination phase: Saturation
% 18.65/3.55 % (3422903)Time elapsed: 0.175 s
% 18.65/3.55 % (3422903)Peak memory usage: 91 MB
% 18.65/3.55 % (3422903)Instructions burned: 286 (million)
% 18.65/3.55 % (3422905)Instruction limit reached!
% 18.65/3.55 % (3422905)------------------------------
% 18.65/3.55 % (3422905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422905)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422905)Termination reason: Instruction limit
% 18.65/3.55 % (3422905)Termination phase: Saturation
% 18.65/3.55 % (3422905)Time elapsed: 0.197 s
% 18.65/3.55 % (3422905)Peak memory usage: 92 MB
% 18.65/3.55 % (3422905)Instructions burned: 326 (million)
% 18.65/3.55 % (3422910)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3178373139:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.65/3.55 % (3422909)Instruction limit reached!
% 18.65/3.55 % (3422909)------------------------------
% 18.65/3.55 % (3422909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422909)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422909)Termination reason: Instruction limit
% 18.65/3.55 % (3422909)Termination phase: Saturation
% 18.65/3.55 % (3422909)Time elapsed: 0.155 s
% 18.65/3.55 % (3422909)Peak memory usage: 92 MB
% 18.65/3.55 % (3422909)Instructions burned: 248 (million)
% 18.65/3.55 % (3422912)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2100590163:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.65/3.55 % (3422913)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1717259632:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.65/3.55 % (3422910)Instruction limit reached!
% 18.65/3.55 % (3422910)------------------------------
% 18.65/3.55 % (3422910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422910)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422910)Termination reason: Instruction limit
% 18.65/3.55 % (3422910)Termination phase: Saturation
% 18.65/3.55 % (3422910)Time elapsed: 0.176 s
% 18.65/3.55 % (3422910)Peak memory usage: 92 MB
% 18.65/3.55 % (3422910)Instructions burned: 296 (million)
% 18.65/3.55 % (3422913)Instruction limit reached!
% 18.65/3.55 % (3422913)------------------------------
% 18.65/3.55 % (3422913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422913)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422913)Termination reason: Instruction limit
% 18.65/3.55 % (3422913)Termination phase: Saturation
% 18.65/3.55 % (3422913)Time elapsed: 0.069 s
% 18.65/3.55 % (3422913)Peak memory usage: 90 MB
% 18.65/3.55 % (3422913)Instructions burned: 114 (million)
% 18.65/3.55 % (3422915)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1876064088:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.65/3.55 % (3422915)Refutation not found, incomplete strategy
% 18.65/3.55 % (3422915)------------------------------
% 18.65/3.55 % (3422915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422915)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422915)Termination reason: Refutation not found, incomplete strategy
% 18.65/3.55 % (3422915)Time elapsed: 0.001 s
% 18.65/3.55 % (3422915)Peak memory usage: 88 MB
% 18.65/3.55 % (3422918)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3352507914:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 18.65/3.55 % (3422919)lrs+10_1_sil=8000:sp=occurrence:random_seed=3831454445:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 18.65/3.55 % (3422918)Instruction limit reached!
% 18.65/3.55 % (3422918)------------------------------
% 18.65/3.55 % (3422918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422918)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422918)Termination reason: Instruction limit
% 18.65/3.55 % (3422918)Termination phase: Saturation
% 18.65/3.55 % (3422918)Time elapsed: 0.064 s
% 18.65/3.55 % (3422918)Peak memory usage: 89 MB
% 18.65/3.55 % (3422918)Instructions burned: 115 (million)
% 18.65/3.55 % (3422915)------------------------------
% 18.65/3.55 % (3422915)------------------------------
% 18.65/3.55 % (3422923)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3643394236:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 18.65/3.55 % (3422924)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1007206551:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 18.65/3.55 % (3422923)Instruction limit reached!
% 18.65/3.55 % (3422923)------------------------------
% 18.65/3.55 % (3422923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422923)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422923)Termination reason: Instruction limit
% 18.65/3.55 % (3422923)Termination phase: Saturation
% 18.65/3.55 % (3422923)Time elapsed: 0.216 s
% 18.65/3.55 % (3422923)Peak memory usage: 92 MB
% 18.65/3.55 % (3422923)Instructions burned: 438 (million)
% 18.65/3.55 % (3422919)Instruction limit reached!
% 18.65/3.55 % (3422919)------------------------------
% 18.65/3.55 % (3422919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422919)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422919)Termination reason: Instruction limit
% 18.65/3.55 % (3422919)Termination phase: Saturation
% 18.65/3.55 % (3422919)Time elapsed: 0.538 s
% 18.65/3.55 % (3422919)Peak memory usage: 97 MB
% 18.65/3.55 % (3422919)Instructions burned: 908 (million)
% 18.65/3.55 % (3422927)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3355218526:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 18.65/3.55 % (3422927)Refutation not found, incomplete strategy
% 18.65/3.55 % (3422927)------------------------------
% 18.65/3.55 % (3422927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422927)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422927)Termination reason: Refutation not found, incomplete strategy
% 18.65/3.55 % (3422927)Time elapsed: 0.002 s
% 18.65/3.55 % (3422927)Peak memory usage: 89 MB
% 18.65/3.55 % (3422927)Instructions burned: 1 (million)
% 18.65/3.55 % (3422928)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2181675648:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 18.65/3.55 % (3422927)------------------------------
% 18.65/3.55 % (3422927)------------------------------
% 18.65/3.55 % (3422931)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1708294080:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 18.65/3.55 % (3422928)Instruction limit reached!
% 18.65/3.55 % (3422928)------------------------------
% 18.65/3.55 % (3422928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422928)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422928)Termination reason: Instruction limit
% 18.65/3.55 % (3422928)Termination phase: Saturation
% 18.65/3.55 % (3422928)Time elapsed: 0.330 s
% 18.65/3.55 % (3422928)Peak memory usage: 94 MB
% 18.65/3.55 % (3422928)Instructions burned: 593 (million)
% 18.65/3.55 % (3422912)Instruction limit reached!
% 18.65/3.55 % (3422912)------------------------------
% 18.65/3.55 % (3422912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422912)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422912)Termination reason: Instruction limit
% 18.65/3.55 % (3422912)Termination phase: Saturation
% 18.65/3.55 % (3422912)Time elapsed: 1.470 s
% 18.65/3.55 % (3422912)Peak memory usage: 142 MB
% 18.65/3.55 % (3422912)Instructions burned: 2351 (million)
% 18.65/3.55 % (3422933)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=1925224266:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 18.65/3.55 % (3422933)Instruction limit reached!
% 18.65/3.55 % (3422933)------------------------------
% 18.65/3.55 % (3422933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422933)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422933)Termination reason: Instruction limit
% 18.65/3.55 % (3422933)Termination phase: Saturation
% 18.65/3.55 % (3422933)Time elapsed: 0.085 s
% 18.65/3.55 % (3422933)Peak memory usage: 90 MB
% 18.65/3.55 % (3422933)Instructions burned: 125 (million)
% 18.65/3.55 % (3422934)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2839973716:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 18.65/3.55 % (3422889)First to succeed.
% 18.65/3.55 % (3422889)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3422884"
% 18.65/3.55 % (3422934)Instruction limit reached!
% 18.65/3.55 % (3422934)------------------------------
% 18.65/3.55 % (3422934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422934)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422934)Termination reason: Instruction limit
% 18.65/3.55 % (3422934)Termination phase: Saturation
% 18.65/3.55 % (3422934)Time elapsed: 0.072 s
% 18.65/3.55 % (3422934)Peak memory usage: 89 MB
% 18.65/3.55 % (3422934)Instructions burned: 135 (million)
% 18.65/3.55 % (3422936)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3829654806:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 18.65/3.55 % (3422936)Refutation not found, incomplete strategy
% 18.65/3.55 % (3422936)------------------------------
% 18.65/3.55 % (3422936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422936)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422936)Termination reason: Refutation not found, incomplete strategy
% 18.65/3.55 % (3422936)Time elapsed: 0.001 s
% 18.65/3.55 % (3422936)Peak memory usage: 88 MB
% 18.65/3.55 % (3422938)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4065880285:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 18.65/3.55 % (3422938)Refutation not found, incomplete strategy
% 18.65/3.55 % (3422938)------------------------------
% 18.65/3.55 % (3422938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.55 % (3422938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.55 % (3422938)CaDiCaL version: 2.1.3
% 18.65/3.55 % (3422938)Termination reason: Refutation not found, incomplete strategy
% 18.65/3.55 % (3422938)Time elapsed: 0.001 s
% 18.65/3.55 % (3422938)Peak memory usage: 88 MB
% 18.65/3.55 % (3422889)Refutation found. Thanks to Tanya!
% 18.65/3.55 % SZS status Theorem for theBenchmark
% 18.65/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 19.67/3.75 % (3422889)------------------------------
% 19.67/3.75 % (3422889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.67/3.75 % (3422889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.67/3.75 % (3422889)CaDiCaL version: 2.1.3
% 19.67/3.75 % (3422889)Termination reason: Refutation
% 19.67/3.75 % (3422889)Time elapsed: 2.256 s
% 19.67/3.75 % (3422889)Peak memory usage: 152 MB
% 19.67/3.75 % (3422889)Instructions burned: 3645 (million)
% 19.67/3.75 % (3422889)------------------------------
% 19.67/3.75 % (3422889)------------------------------
% 19.67/3.75 % (3422884)Success in time 2.704 s
% 19.67/3.75 % Vampire exiting
%------------------------------------------------------------------------------