%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:52 PM UTC 2026
% Result : Theorem 5.21s 2.61s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 24
% Syntax : Number of formulae : 175 ( 171 unt; 11 def)
% Number of atoms : 179 ( 178 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 229 ( 228 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(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] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( meet(complement(composition(X0,top)),one) != meet(complement(X0),one)
& join(X0,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(complement(composition(sK0,top)),one) != meet(complement(sK0),one)
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[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,
one = join(sK0,one),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
meet(complement(composition(sK0,top)),one) != meet(complement(sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
complement(join(complement(complement(composition(sK0,top))),complement(one))) != complement(join(complement(complement(sK0)),complement(one))),
inference(definition_unfolding,[],[f32,f21,f21]) ).
fof(f35,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = complement(one),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
complement(one) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
complement(sK0) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = join(sF8,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
join(sF8,sF4) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f54,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
sF6 != sF10,
inference(definition_folding,[],[f34,f54,f52,f42,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f56,definition,
sF11 = join(sK0,one),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f57,plain,
join(sK0,one) = sF11,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
one = sF11,
inference(definition_folding,[],[f31,f57]) ).
fof(f59,plain,
sF5 = join(sF4,sF3),
inference(forward_demodulation,[],[f44,f18]) ).
fof(f60,plain,
sF9 = join(sF4,sF8),
inference(forward_demodulation,[],[f52,f18]) ).
fof(f61,plain,
one = join(sK0,one),
inference(forward_demodulation,[],[f57,f58]) ).
fof(f62,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f61,f18]) ).
fof(f69,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f28,f25]) ).
fof(f80,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f69,f18]) ).
fof(f108,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f20,f20]) ).
fof(f111,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f108,f18]) ).
fof(f127,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f111,f18]) ).
fof(f171,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f173,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f177,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f171,f18]) ).
fof(f266,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f270,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(f284,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f286,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f270,f284]) ).
fof(f369,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f27,f25]) ).
fof(f372,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(f380,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f372,f27]) ).
fof(f386,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f380,f26]) ).
fof(f389,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f386,f26]) ).
fof(f391,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f389,f27]) ).
fof(f402,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f391]) ).
fof(f415,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f402,f25]) ).
fof(f452,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f455,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f33]) ).
fof(f462,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f29,f33]) ).
fof(f473,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f462,f18]) ).
fof(f492,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f473,f29]) ).
fof(f499,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f492,f18]) ).
fof(f810,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f266,f29]) ).
fof(f814,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f266,f18]) ).
fof(f1142,plain,
! [X0,X1] : join(top,complement(X0)) = join(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))),join(complement(X0),complement(X1))),
inference(superposition,[],[f814,f127]) ).
fof(f1144,plain,
! [X0] : join(top,zero) = join(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f814,f455]) ).
fof(f1161,plain,
! [X0] : join(top,zero) = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f1144,f18]) ).
fof(f1163,plain,
! [X0,X1] : join(top,complement(X0)) = join(join(complement(X0),complement(X1)),join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f1142,f18]) ).
fof(f1174,plain,
! [X0] : join(top,complement(X0)) = join(top,zero),
inference(forward_demodulation,[],[f1161,f814]) ).
fof(f1175,plain,
! [X0,X1] : join(top,complement(X0)) = join(top,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f1163,f814]) ).
fof(f1185,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1174,f499]) ).
fof(f1186,plain,
! [X0,X1] : join(top,complement(X0)) = join(join(complement(X0),X1),top),
inference(forward_demodulation,[],[f1175,f810]) ).
fof(f1191,plain,
! [X0,X1] : join(top,complement(X0)) = join(top,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1186,f18]) ).
fof(f1195,plain,
! [X0,X1] : top = join(top,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1191,f1185]) ).
fof(f1212,plain,
! [X0,X1] : join(top,X1) = join(top,join(complement(X0),X1)),
inference(superposition,[],[f19,f1185]) ).
fof(f1213,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1212,f1195]) ).
fof(f1387,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f369,f23]) ).
fof(f1403,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1387,f25]) ).
fof(f1420,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f24,f1403]) ).
fof(f1429,plain,
one = converse(one),
inference(superposition,[],[f23,f1403]) ).
fof(f1444,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f1420,f1429]) ).
fof(f1464,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f1403,f1429]) ).
fof(f1491,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f80,f1464]) ).
fof(f1497,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1491,f1403]) ).
fof(f1534,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f286,f1497]) ).
fof(f1537,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f19,f1497]) ).
fof(f1540,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1534,f173]) ).
fof(f1609,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1540,f1540]) ).
fof(f1612,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1540,f33]) ).
fof(f1614,plain,
! [X0,X1] : join(X0,X0) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f286,f1540]) ).
fof(f1651,plain,
! [X0,X1] : join(X0,X0) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1614,f18]) ).
fof(f1727,plain,
! [X0,X1] : join(join(complement(X0),X1),complement(X0)) = join(join(complement(X0),X1),join(complement(X0),X1)),
inference(superposition,[],[f1651,f177]) ).
fof(f1732,plain,
! [X2,X0,X1] : join(join(complement(X0),X2),join(complement(X0),X2)) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1651,f286]) ).
fof(f1734,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f1651,f18]) ).
fof(f1752,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1540,f1651]) ).
fof(f1807,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f1734,f1752]) ).
fof(f1809,plain,
! [X2,X0,X1] : join(join(complement(X0),X2),join(complement(X0),X2)) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1732,f19]) ).
fof(f1813,plain,
! [X0,X1] : join(join(complement(X0),X1),complement(X0)) = join(X1,join(join(complement(X0),X1),complement(X0))),
inference(forward_demodulation,[],[f1727,f284]) ).
fof(f1848,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(join(complement(X0),X2),complement(X0))),
inference(forward_demodulation,[],[f1809,f284]) ).
fof(f1850,plain,
! [X0,X1] : join(complement(X0),join(complement(X0),X1)) = join(X1,join(complement(X0),join(complement(X0),X1))),
inference(forward_demodulation,[],[f1813,f18]) ).
fof(f1873,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(complement(X0),join(complement(X0),X2))),
inference(forward_demodulation,[],[f1848,f18]) ).
fof(f1875,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1850,f1537]) ).
fof(f1889,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(complement(X0),X2)),
inference(forward_demodulation,[],[f1873,f1537]) ).
fof(f1897,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1889,f1875]) ).
fof(f1906,plain,
! [X0] : sF1 = join(sF1,complement(join(X0,sF2))),
inference(superposition,[],[f1807,f38]) ).
fof(f1933,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f286,f1807]) ).
fof(f1943,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(complement(join(complement(join(X1,complement(complement(X0)))),X0)),complement(complement(X0))),
inference(superposition,[],[f177,f1807]) ).
fof(f1951,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(X2,complement(complement(X0))))))))),
inference(superposition,[],[f286,f1807]) ).
fof(f1960,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1951,f1897]) ).
fof(f1965,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(complement(complement(X0)),complement(join(complement(join(X1,complement(complement(X0)))),X0))),
inference(forward_demodulation,[],[f1943,f18]) ).
fof(f1971,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1933,f18]) ).
fof(f1992,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(X0,complement(join(complement(join(X1,complement(complement(X0)))),X0))),
inference(forward_demodulation,[],[f1965,f1960]) ).
fof(f2001,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(join(X1,complement(complement(X0))),X0),
inference(forward_demodulation,[],[f1992,f1971]) ).
fof(f2004,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f2001,f18]) ).
fof(f2026,plain,
! [X0,X1] : join(join(X0,complement(complement(X1))),complement(join(top,X0))) = join(X1,join(X0,complement(complement(X1)))),
inference(superposition,[],[f1971,f814]) ).
fof(f2100,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(join(X0,complement(complement(X1))),complement(join(top,X0))),
inference(forward_demodulation,[],[f2026,f2004]) ).
fof(f2131,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(complement(join(top,X0)),join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f2100,f18]) ).
fof(f2151,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(complement(complement(X1)),complement(join(top,X0)))),
inference(forward_demodulation,[],[f2131,f284]) ).
fof(f2165,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X1,complement(join(top,X0)))),
inference(forward_demodulation,[],[f2151,f1960]) ).
fof(f2174,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X1,complement(top))),
inference(forward_demodulation,[],[f2165,f1213]) ).
fof(f2179,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X1,zero)),
inference(forward_demodulation,[],[f2174,f452]) ).
fof(f2181,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(complement(X1))),
inference(forward_demodulation,[],[f2179,f1612]) ).
fof(f2185,plain,
! [X0] : join(X0,sK0) = join(X0,complement(sF7)),
inference(superposition,[],[f2181,f48]) ).
fof(f2187,plain,
! [X0] : join(X0,sF2) = join(X0,complement(sF3)),
inference(superposition,[],[f2181,f40]) ).
fof(f2208,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),X0),
inference(superposition,[],[f1497,f2181]) ).
fof(f2246,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(forward_demodulation,[],[f2208,f18]) ).
fof(f2258,plain,
! [X0] : join(X0,sK0) = join(X0,sF8),
inference(forward_demodulation,[],[f2185,f50]) ).
fof(f2267,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2246,f1609]) ).
fof(f2276,plain,
one = complement(sF4),
inference(superposition,[],[f2267,f42]) ).
fof(f3116,plain,
sF9 = join(sF4,sK0),
inference(superposition,[],[f60,f2258]) ).
fof(f3117,plain,
sF9 = join(sK0,sF4),
inference(forward_demodulation,[],[f3116,f18]) ).
fof(f3729,plain,
! [X0] : join(complement(sF2),X0) = join(sF1,X0),
inference(superposition,[],[f1960,f38]) ).
fof(f3881,plain,
! [X0] : join(sF3,X0) = join(sF1,X0),
inference(forward_demodulation,[],[f3729,f40]) ).
fof(f4079,plain,
! [X0] : sF3 = join(sF1,complement(join(X0,complement(sF3)))),
inference(superposition,[],[f1807,f3881]) ).
fof(f4090,plain,
! [X0] : sF3 = join(sF1,complement(join(X0,sF2))),
inference(forward_demodulation,[],[f4079,f2187]) ).
fof(f4121,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f4090,f1906]) ).
fof(f4153,plain,
sF5 = join(sF4,sF1),
inference(superposition,[],[f59,f4121]) ).
fof(f9557,plain,
! [X0] : composition(one,X0) = join(X0,composition(sK0,X0)),
inference(superposition,[],[f1444,f62]) ).
fof(f9695,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f9557,f1464]) ).
fof(f9787,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f19,f9695]) ).
fof(f10088,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f9787,f415]) ).
fof(f10319,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f10088,f29]) ).
fof(f10528,plain,
! [X0] : join(X0,sF1) = join(X0,composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f10319,f36]) ).
fof(f10609,plain,
join(sF4,sF1) = join(sF4,composition(sK0,one)),
inference(superposition,[],[f10528,f2276]) ).
fof(f10712,plain,
join(sF4,sK0) = join(sF4,sF1),
inference(forward_demodulation,[],[f10609,f23]) ).
fof(f10760,plain,
sF5 = join(sF4,sK0),
inference(forward_demodulation,[],[f10712,f4153]) ).
fof(f10798,plain,
sF5 = join(sK0,sF4),
inference(forward_demodulation,[],[f10760,f18]) ).
fof(f11036,plain,
sF5 = sF9,
inference(superposition,[],[f3117,f10798]) ).
fof(f11109,plain,
complement(sF5) = sF10,
inference(superposition,[],[f54,f11036]) ).
fof(f11110,plain,
sF6 = sF10,
inference(forward_demodulation,[],[f11109,f46]) ).
fof(f11111,plain,
$false,
inference(forward_subsumption_resolution,[],[f11110,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL027+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 % Computer : n018.cluster.edu
% 0.23/0.47 % Model : x86_64 x86_64
% 0.23/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.47 % Memory : 8046.5625MB
% 0.23/0.47 % OS : Linux 6.8.0-71-generic
% 0.23/0.47 % CPULimit : 300
% 0.23/0.47 % WCLimit : 300
% 0.23/0.47 % DateTime : Sun Sep 27 22:55:24 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 5.21/2.61 % (2822884)Detected formulas, will run a generic FOF schedule.
% 5.21/2.61 % (2822895)dis-21_1_sil=8000:lcm=predicate:random_seed=1842572079: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)
% 5.21/2.61 % (2822895)Refutation not found, incomplete strategy
% 5.21/2.61 % (2822895)------------------------------
% 5.21/2.61 % (2822895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822895)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822895)Termination reason: Refutation not found, incomplete strategy
% 5.21/2.61 % (2822895)Time elapsed: 0.001 s
% 5.21/2.61 % (2822895)Peak memory usage: 88 MB
% 5.21/2.61 % (2822895)Instructions burned: 1 (million)
% 5.21/2.61 % (2822891)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=722655412:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.21/2.61 % (2822890)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=400884485:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.21/2.61 % (2822892)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1217524993:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.21/2.61 % (2822893)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3866594231:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.21/2.61 % (2822889)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=2906971173:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.21/2.61 % (2822894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1795195094:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.21/2.61 % (2822892)Instruction limit reached!
% 5.21/2.61 % (2822892)------------------------------
% 5.21/2.61 % (2822892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822892)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822892)Termination reason: Instruction limit
% 5.21/2.61 % (2822892)Termination phase: Saturation
% 5.21/2.61 % (2822892)Time elapsed: 0.066 s
% 5.21/2.61 % (2822892)Peak memory usage: 89 MB
% 5.21/2.61 % (2822892)Instructions burned: 109 (million)
% 5.21/2.61 % (2822893)Instruction limit reached!
% 5.21/2.61 % (2822893)------------------------------
% 5.21/2.61 % (2822893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822893)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822893)Termination reason: Instruction limit
% 5.21/2.61 % (2822893)Termination phase: Saturation
% 5.21/2.61 % (2822893)Time elapsed: 0.067 s
% 5.21/2.61 % (2822893)Peak memory usage: 88 MB
% 5.21/2.61 % (2822893)Instructions burned: 119 (million)
% 5.21/2.61 % (2822895)------------------------------
% 5.21/2.61 % (2822895)------------------------------
% 5.21/2.61 % (2822894)Instruction limit reached!
% 5.21/2.61 % (2822894)------------------------------
% 5.21/2.61 % (2822894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822894)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822894)Termination reason: Instruction limit
% 5.21/2.61 % (2822894)Termination phase: Saturation
% 5.21/2.61 % (2822894)Time elapsed: 0.083 s
% 5.21/2.61 % (2822894)Peak memory usage: 89 MB
% 5.21/2.61 % (2822894)Instructions burned: 139 (million)
% 5.21/2.61 % (2822946)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2727721434:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.21/2.61 % (2822929)lrs+10_1_sil=8000:sp=occurrence:random_seed=1423451619:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.21/2.61 % (2822931)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2379695105:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.21/2.61 % (2822947)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=2038283623:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.21/2.61 % (2822931)Instruction limit reached!
% 5.21/2.61 % (2822931)------------------------------
% 5.21/2.61 % (2822931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822931)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822931)Termination reason: Instruction limit
% 5.21/2.61 % (2822931)Termination phase: Saturation
% 5.21/2.61 % (2822931)Time elapsed: 0.097 s
% 5.21/2.61 % (2822931)Peak memory usage: 90 MB
% 5.21/2.61 % (2822931)Instructions burned: 157 (million)
% 5.21/2.61 % (2822946)Instruction limit reached!
% 5.21/2.61 % (2822946)------------------------------
% 5.21/2.61 % (2822946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822946)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822946)Termination reason: Instruction limit
% 5.21/2.61 % (2822946)Termination phase: Saturation
% 5.21/2.61 % (2822946)Time elapsed: 0.108 s
% 5.21/2.61 % (2822946)Peak memory usage: 91 MB
% 5.21/2.61 % (2822946)Instructions burned: 328 (million)
% 5.21/2.61 % (2822929)Instruction limit reached!
% 5.21/2.61 % (2822929)------------------------------
% 5.21/2.61 % (2822929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822929)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822929)Termination reason: Instruction limit
% 5.21/2.61 % (2822929)Termination phase: Saturation
% 5.21/2.61 % (2822929)Time elapsed: 0.173 s
% 5.21/2.61 % (2822929)Peak memory usage: 91 MB
% 5.21/2.61 % (2822929)Instructions burned: 285 (million)
% 5.21/2.61 % (2823022)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3043439203:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.21/2.61 % (2822947)Instruction limit reached!
% 5.21/2.61 % (2822947)------------------------------
% 5.21/2.61 % (2822947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2822947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2822947)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2822947)Termination reason: Instruction limit
% 5.21/2.61 % (2822947)Termination phase: Saturation
% 5.21/2.61 % (2822947)Time elapsed: 0.156 s
% 5.21/2.61 % (2822947)Peak memory usage: 91 MB
% 5.21/2.61 % (2822947)Instructions burned: 248 (million)
% 5.21/2.61 % (2823021)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2423788771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.21/2.61 % (2823056)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2910572452:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.21/2.61 % (2823063)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4085912593:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.21/2.61 % (2823063)Refutation not found, incomplete strategy
% 5.21/2.61 % (2823063)------------------------------
% 5.21/2.61 % (2823063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2823063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2823063)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2823063)Termination reason: Refutation not found, incomplete strategy
% 5.21/2.61 % (2823063)Time elapsed: 0.001 s
% 5.21/2.61 % (2823063)Peak memory usage: 87 MB
% 5.21/2.61 % (2823056)Instruction limit reached!
% 5.21/2.61 % (2823056)------------------------------
% 5.21/2.61 % (2823056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2823056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2823056)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2823056)Termination reason: Instruction limit
% 5.21/2.61 % (2823056)Termination phase: Saturation
% 5.21/2.61 % (2823056)Time elapsed: 0.071 s
% 5.21/2.61 % (2823056)Peak memory usage: 90 MB
% 5.21/2.61 % (2823056)Instructions burned: 114 (million)
% 5.21/2.61 % (2823021)Instruction limit reached!
% 5.21/2.61 % (2823021)------------------------------
% 5.21/2.61 % (2823021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2823021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2823021)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2823021)Termination reason: Instruction limit
% 5.21/2.61 % (2823021)Termination phase: Saturation
% 5.21/2.61 % (2823021)Time elapsed: 0.179 s
% 5.21/2.61 % (2823021)Peak memory usage: 91 MB
% 5.21/2.61 % (2823021)Instructions burned: 295 (million)
% 5.21/2.61 % (2823071)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1338742372:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.21/2.61 % (2823072)lrs+10_1_sil=8000:sp=occurrence:random_seed=3032902246:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.21/2.61 % (2823063)------------------------------
% 5.21/2.61 % (2823063)------------------------------
% 5.21/2.61 % (2823071)Instruction limit reached!
% 5.21/2.61 % (2823071)------------------------------
% 5.21/2.61 % (2823071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2823071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2823071)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2823071)Termination reason: Instruction limit
% 5.21/2.61 % (2823071)Termination phase: Saturation
% 5.21/2.61 % (2823071)Time elapsed: 0.061 s
% 5.21/2.61 % (2823071)Peak memory usage: 88 MB
% 5.21/2.61 % (2823071)Instructions burned: 115 (million)
% 5.21/2.61 % (2823075)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4085288376:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.21/2.61 % (2823076)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3680509841:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 5.21/2.61 % (2823022)First to succeed.
% 5.21/2.61 % (2823022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2822884"
% 5.21/2.61 % (2822889)Also succeeded, but the first one will report.
% 5.21/2.61 % (2823075)Instruction limit reached!
% 5.21/2.61 % (2823075)------------------------------
% 5.21/2.61 % (2823075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/2.61 % (2823075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/2.61 % (2823075)CaDiCaL version: 2.1.3
% 5.21/2.61 % (2823075)Termination reason: Instruction limit
% 5.21/2.61 % (2823075)Termination phase: Saturation
% 5.21/2.61 % (2823075)Time elapsed: 0.216 s
% 5.21/2.61 % (2823075)Peak memory usage: 89 MB
% 5.21/2.61 % (2823075)Instructions burned: 437 (million)
% 5.21/2.61 % (2823022)Refutation found. Thanks to Tanya!
% 5.21/2.61 % SZS status Theorem for theBenchmark
% 5.21/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/2.80 % (2823022)------------------------------
% 0.30/2.80 % (2823022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.80 % (2823022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.80 % (2823022)CaDiCaL version: 2.1.3
% 0.30/2.80 % (2823022)Termination reason: Refutation
% 0.30/2.80 % (2823022)Time elapsed: 0.630 s
% 0.30/2.80 % (2823022)Peak memory usage: 136 MB
% 0.30/2.80 % (2823022)Instructions burned: 1758 (million)
% 0.30/2.80 % (2823022)------------------------------
% 0.30/2.80 % (2823022)------------------------------
% 0.30/2.80 % (2822884)Success in time 1.326 s
% 0.30/2.80 % Vampire exiting
%------------------------------------------------------------------------------