%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL047+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:34:40 PM UTC 2026
% Result : Theorem 189.05s 40.03s
% Output : Refutation 189.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 110
% Number of leaves : 12
% Syntax : Number of formulae : 315 ( 310 unt; 0 def)
% Number of atoms : 325 ( 324 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 382 ( 376 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X0,X2) = X2 )
=> join(X0,meet(X1,X2)) = meet(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X0,X2) = X2 )
=> join(X0,meet(X1,X2)) = meet(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( meet(X1,X2) != join(X0,meet(X1,X2))
& join(X0,X1) = X1
& join(X0,X2) = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( meet(X1,X2) != join(X0,meet(X1,X2))
& join(X0,X1) = X1
& join(X0,X2) = X2 ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( meet(sK1,sK2) != join(sK0,meet(sK1,sK2))
& sK1 = join(sK0,sK1)
& sK2 = join(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
sK2 = join(sK0,sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
meet(sK1,sK2) != join(sK0,meet(sK1,sK2)),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f36,plain,
complement(join(complement(sK1),complement(sK2))) != join(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(definition_unfolding,[],[f34,f22,f22]) ).
fof(f37,plain,
sK2 = join(sK2,sK0),
inference(superposition,[],[f19,f32]) ).
fof(f38,plain,
sK1 = join(sK1,sK0),
inference(superposition,[],[f19,f33]) ).
fof(f45,plain,
zero = complement(top),
inference(forward_demodulation,[],[f35,f30]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f27,f26]) ).
fof(f48,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f27,f26]) ).
fof(f49,plain,
! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[],[f27,f19]) ).
fof(f54,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f26]) ).
fof(f58,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f47,f30]) ).
fof(f59,plain,
! [X0,X1] : join(X1,converse(X0)) = converse(join(X0,converse(X1))),
inference(superposition,[],[f47,f19]) ).
fof(f82,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[],[f48,f19]) ).
fof(f104,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f49,f27]) ).
fof(f214,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f54,f24]) ).
fof(f230,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f214,f26]) ).
fof(f235,plain,
one = converse(one),
inference(superposition,[],[f230,f24]) ).
fof(f242,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f230,f235]) ).
fof(f446,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f20,f30]) ).
fof(f447,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f20,f19]) ).
fof(f455,plain,
! [X0] : join(sK2,X0) = join(sK0,join(sK2,X0)),
inference(superposition,[],[f20,f32]) ).
fof(f456,plain,
! [X0] : join(sK1,X0) = join(sK0,join(sK1,X0)),
inference(superposition,[],[f20,f33]) ).
fof(f457,plain,
! [X0] : join(sK1,X0) = join(sK1,join(sK0,X0)),
inference(superposition,[],[f20,f38]) ).
fof(f458,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sK0,X0)),
inference(superposition,[],[f20,f37]) ).
fof(f459,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f20,f30]) ).
fof(f460,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f20,f19]) ).
fof(f475,plain,
top = join(sK0,top),
inference(superposition,[],[f455,f30]) ).
fof(f481,plain,
! [X0] : join(top,X0) = join(sK0,join(top,X0)),
inference(superposition,[],[f20,f475]) ).
fof(f500,plain,
! [X0] : join(sK1,X0) = join(sK1,join(X0,sK0)),
inference(superposition,[],[f457,f19]) ).
fof(f510,plain,
join(sK2,top) = join(sK2,complement(sK0)),
inference(superposition,[],[f458,f30]) ).
fof(f511,plain,
! [X0] : join(sK2,X0) = join(sK2,join(X0,sK0)),
inference(superposition,[],[f458,f19]) ).
fof(f519,plain,
! [X0] : join(sK2,join(complement(sK0),X0)) = join(join(sK2,top),X0),
inference(superposition,[],[f20,f510]) ).
fof(f520,plain,
! [X0] : join(sK2,join(complement(sK0),X0)) = join(sK2,join(top,X0)),
inference(forward_demodulation,[],[f519,f20]) ).
fof(f536,plain,
! [X0] : join(X0,top) = join(sK0,join(X0,top)),
inference(superposition,[],[f481,f19]) ).
fof(f545,plain,
! [X0,X1] : join(join(sK1,X0),X1) = join(sK1,join(join(X0,sK0),X1)),
inference(superposition,[],[f20,f500]) ).
fof(f546,plain,
! [X0,X1] : join(join(sK1,X0),X1) = join(sK1,join(X0,join(sK0,X1))),
inference(forward_demodulation,[],[f545,f20]) ).
fof(f547,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(sK1,join(X0,join(sK0,X1))),
inference(forward_demodulation,[],[f546,f20]) ).
fof(f552,plain,
! [X0,X1] : join(join(sK2,X0),X1) = join(sK2,join(join(X0,sK0),X1)),
inference(superposition,[],[f20,f511]) ).
fof(f553,plain,
! [X0,X1] : join(join(sK2,X0),X1) = join(sK2,join(X0,join(sK0,X1))),
inference(forward_demodulation,[],[f552,f20]) ).
fof(f554,plain,
! [X0,X1] : join(sK2,join(X0,X1)) = join(sK2,join(X0,join(sK0,X1))),
inference(forward_demodulation,[],[f553,f20]) ).
fof(f844,plain,
! [X0] : join(sK2,join(top,X0)) = join(sK2,join(X0,complement(sK0))),
inference(superposition,[],[f520,f19]) ).
fof(f1063,plain,
! [X0,X1] : join(sK1,join(join(sK0,X0),X1)) = join(sK1,join(X1,X0)),
inference(superposition,[],[f547,f19]) ).
fof(f1088,plain,
! [X0,X1] : join(sK1,join(sK0,join(X0,X1))) = join(sK1,join(X1,X0)),
inference(forward_demodulation,[],[f1063,f20]) ).
fof(f1094,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(sK1,join(X1,X0)),
inference(forward_demodulation,[],[f1088,f457]) ).
fof(f1111,plain,
! [X0,X1] : join(sK1,join(converse(X1),converse(X0))) = join(sK1,converse(join(X0,X1))),
inference(superposition,[],[f1094,f27]) ).
fof(f1158,plain,
! [X0,X1] : join(sK1,converse(join(X0,X1))) = join(sK1,converse(join(X1,X0))),
inference(forward_demodulation,[],[f1111,f27]) ).
fof(f1297,plain,
! [X0,X1] : join(sK2,join(join(sK0,X0),X1)) = join(sK2,join(X1,X0)),
inference(superposition,[],[f554,f19]) ).
fof(f1328,plain,
! [X0,X1] : join(sK2,join(sK0,join(X0,X1))) = join(sK2,join(X1,X0)),
inference(forward_demodulation,[],[f1297,f20]) ).
fof(f1335,plain,
! [X0,X1] : join(sK2,join(X0,X1)) = join(sK2,join(X1,X0)),
inference(forward_demodulation,[],[f1328,f458]) ).
fof(f1352,plain,
! [X0,X1] : join(sK2,join(converse(X1),converse(X0))) = join(sK2,converse(join(X0,X1))),
inference(superposition,[],[f1335,f27]) ).
fof(f1403,plain,
! [X0,X1] : join(sK2,converse(join(X0,X1))) = join(sK2,converse(join(X1,X0))),
inference(forward_demodulation,[],[f1352,f27]) ).
fof(f1844,plain,
! [X0,X1] : join(join(X1,X0),converse(sK1)) = converse(join(sK1,converse(join(X0,X1)))),
inference(superposition,[],[f59,f1158]) ).
fof(f1845,plain,
! [X0,X1] : converse(join(sK1,converse(join(X0,X1)))) = join(converse(sK1),join(X1,X0)),
inference(superposition,[],[f48,f1158]) ).
fof(f1850,plain,
! [X0,X1] : join(converse(sK1),join(X1,X0)) = join(converse(sK1),join(X0,X1)),
inference(forward_demodulation,[],[f1845,f48]) ).
fof(f1851,plain,
! [X0,X1] : join(join(X1,X0),converse(sK1)) = join(converse(sK1),join(X0,X1)),
inference(forward_demodulation,[],[f1844,f48]) ).
fof(f1863,plain,
! [X0,X1] : join(converse(sK1),join(X0,X1)) = join(X1,join(X0,converse(sK1))),
inference(forward_demodulation,[],[f1851,f20]) ).
fof(f1898,plain,
! [X0,X1] : join(join(X1,X0),converse(sK2)) = converse(join(sK2,converse(join(X0,X1)))),
inference(superposition,[],[f59,f1403]) ).
fof(f1905,plain,
! [X0,X1] : join(join(X1,X0),converse(sK2)) = join(converse(sK2),join(X0,X1)),
inference(forward_demodulation,[],[f1898,f48]) ).
fof(f1917,plain,
! [X0,X1] : join(converse(sK2),join(X0,X1)) = join(X1,join(X0,converse(sK2))),
inference(forward_demodulation,[],[f1905,f20]) ).
fof(f2172,plain,
! [X0,X1] : join(converse(sK1),join(X0,X1)) = join(X0,join(X1,converse(sK1))),
inference(superposition,[],[f1863,f19]) ).
fof(f2174,plain,
! [X0] : join(converse(sK1),top) = join(complement(X0),join(X0,converse(sK1))),
inference(superposition,[],[f1863,f30]) ).
fof(f2177,plain,
! [X0,X1] : join(converse(sK1),converse(join(X0,X1))) = join(converse(X1),join(converse(X0),converse(sK1))),
inference(superposition,[],[f1863,f27]) ).
fof(f2188,plain,
! [X0,X1] : join(converse(sK1),join(X0,X1)) = join(X1,join(converse(sK1),X0)),
inference(superposition,[],[f1863,f19]) ).
fof(f2230,plain,
! [X0,X1] : join(converse(sK1),join(X0,X1)) = join(join(X0,converse(sK1)),X1),
inference(superposition,[],[f19,f1863]) ).
fof(f2262,plain,
! [X0,X1] : join(converse(sK1),join(X0,X1)) = join(X0,join(converse(sK1),X1)),
inference(forward_demodulation,[],[f2230,f20]) ).
fof(f2283,plain,
! [X0,X1] : join(converse(sK1),converse(join(X0,X1))) = join(converse(X1),converse(join(X0,sK1))),
inference(forward_demodulation,[],[f2177,f27]) ).
fof(f2286,plain,
! [X0] : join(top,converse(sK1)) = join(complement(X0),join(X0,converse(sK1))),
inference(forward_demodulation,[],[f2174,f19]) ).
fof(f2299,plain,
! [X0,X1] : join(converse(sK1),converse(join(X0,X1))) = converse(join(X1,join(X0,sK1))),
inference(forward_demodulation,[],[f2283,f27]) ).
fof(f2307,plain,
! [X0,X1] : converse(join(sK1,join(X0,X1))) = converse(join(X1,join(X0,sK1))),
inference(forward_demodulation,[],[f2299,f27]) ).
fof(f2327,plain,
! [X0] : join(top,converse(sK1)) = join(complement(converse(X0)),converse(join(sK1,X0))),
inference(superposition,[],[f2286,f49]) ).
fof(f2508,plain,
! [X0] : join(converse(sK2),top) = join(complement(X0),join(X0,converse(sK2))),
inference(superposition,[],[f1917,f30]) ).
fof(f2511,plain,
! [X0,X1] : join(converse(sK2),converse(join(X0,X1))) = join(converse(X1),join(converse(X0),converse(sK2))),
inference(superposition,[],[f1917,f27]) ).
fof(f2522,plain,
! [X0,X1] : join(converse(sK2),join(X0,X1)) = join(X1,join(converse(sK2),X0)),
inference(superposition,[],[f1917,f19]) ).
fof(f2623,plain,
! [X0,X1] : join(converse(sK2),converse(join(X0,X1))) = join(converse(X1),converse(join(X0,sK2))),
inference(forward_demodulation,[],[f2511,f27]) ).
fof(f2626,plain,
! [X0] : join(top,converse(sK2)) = join(complement(X0),join(X0,converse(sK2))),
inference(forward_demodulation,[],[f2508,f19]) ).
fof(f2639,plain,
! [X0,X1] : join(converse(sK2),converse(join(X0,X1))) = converse(join(X1,join(X0,sK2))),
inference(forward_demodulation,[],[f2623,f27]) ).
fof(f2647,plain,
! [X0,X1] : converse(join(sK2,join(X0,X1))) = converse(join(X1,join(X0,sK2))),
inference(forward_demodulation,[],[f2639,f27]) ).
fof(f2664,plain,
! [X0] : join(top,converse(sK2)) = join(complement(X0),join(converse(sK2),X0)),
inference(superposition,[],[f2626,f19]) ).
fof(f2667,plain,
! [X0] : join(top,converse(sK2)) = join(complement(converse(X0)),converse(join(sK2,X0))),
inference(superposition,[],[f2626,f49]) ).
fof(f2701,plain,
join(top,converse(sK2)) = join(complement(converse(complement(converse(converse(sK2))))),converse(top)),
inference(superposition,[],[f2664,f58]) ).
fof(f2724,plain,
join(top,converse(sK2)) = join(converse(top),complement(converse(complement(converse(converse(sK2)))))),
inference(forward_demodulation,[],[f2701,f19]) ).
fof(f2729,plain,
join(top,converse(sK2)) = join(converse(top),complement(converse(complement(sK2)))),
inference(forward_demodulation,[],[f2724,f26]) ).
fof(f2739,plain,
converse(join(top,converse(sK2))) = join(top,converse(complement(converse(complement(sK2))))),
inference(superposition,[],[f47,f2729]) ).
fof(f2742,plain,
join(converse(top),sK2) = join(top,converse(complement(converse(complement(sK2))))),
inference(forward_demodulation,[],[f2739,f48]) ).
fof(f2744,plain,
join(sK2,converse(top)) = join(top,converse(complement(converse(complement(sK2))))),
inference(forward_demodulation,[],[f2742,f19]) ).
fof(f2952,plain,
! [X0] : join(converse(sK1),converse(top)) = join(X0,join(converse(complement(converse(X0))),converse(sK1))),
inference(superposition,[],[f2172,f58]) ).
fof(f3246,plain,
! [X0] : join(converse(sK1),converse(top)) = join(X0,converse(join(complement(converse(X0)),sK1))),
inference(forward_demodulation,[],[f2952,f27]) ).
fof(f3343,plain,
! [X0] : join(converse(sK1),converse(top)) = join(X0,converse(join(sK1,complement(converse(X0))))),
inference(forward_demodulation,[],[f3246,f104]) ).
fof(f3411,plain,
! [X0] : converse(join(sK1,top)) = join(X0,converse(join(sK1,complement(converse(X0))))),
inference(forward_demodulation,[],[f3343,f27]) ).
fof(f3766,plain,
! [X0] : join(X0,top) = join(converse(sK1),join(complement(converse(sK1)),X0)),
inference(superposition,[],[f2188,f30]) ).
fof(f3960,plain,
! [X0,X1] : join(join(X0,top),X1) = join(converse(sK1),join(join(complement(converse(sK1)),X0),X1)),
inference(superposition,[],[f20,f3766]) ).
fof(f3961,plain,
! [X0,X1] : join(join(X0,top),X1) = join(converse(sK1),join(complement(converse(sK1)),join(X0,X1))),
inference(forward_demodulation,[],[f3960,f20]) ).
fof(f3985,plain,
! [X0,X1] : join(join(X0,X1),top) = join(join(X0,top),X1),
inference(forward_demodulation,[],[f3961,f3766]) ).
fof(f3998,plain,
! [X0,X1] : join(join(X0,X1),top) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f3985,f20]) ).
fof(f4003,plain,
! [X0,X1] : join(X0,join(X1,top)) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f3998,f20]) ).
fof(f4360,plain,
! [X0] : join(sK0,join(top,X0)) = join(X0,top),
inference(superposition,[],[f4003,f536]) ).
fof(f4448,plain,
! [X0,X1] : join(converse(join(X1,top)),X0) = converse(join(converse(X0),join(top,X1))),
inference(superposition,[],[f82,f4003]) ).
fof(f4498,plain,
! [X0,X1] : join(X0,join(X1,top)) = join(join(top,X1),X0),
inference(superposition,[],[f19,f4003]) ).
fof(f4541,plain,
! [X0,X1] : join(X0,join(X1,top)) = join(top,join(X1,X0)),
inference(forward_demodulation,[],[f4498,f20]) ).
fof(f4567,plain,
! [X0,X1] : join(converse(join(X1,top)),X0) = join(X0,converse(join(top,X1))),
inference(forward_demodulation,[],[f4448,f47]) ).
fof(f4712,plain,
! [X0,X1] : join(sK0,join(join(top,X0),X1)) = join(join(X0,top),X1),
inference(superposition,[],[f20,f4360]) ).
fof(f4715,plain,
! [X0,X1] : join(sK0,join(join(top,X0),X1)) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f4712,f20]) ).
fof(f4745,plain,
! [X0,X1] : join(sK0,join(top,join(X0,X1))) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f4715,f20]) ).
fof(f4767,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f4745,f481]) ).
fof(f6275,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(X1,join(top,X0)),
inference(superposition,[],[f4541,f19]) ).
fof(f8159,plain,
! [X0] : join(top,top) = join(X0,join(top,complement(X0))),
inference(superposition,[],[f4767,f30]) ).
fof(f13738,plain,
! [X0,X1] : join(X1,join(X0,sK1)) = converse(converse(join(sK1,join(X0,X1)))),
inference(superposition,[],[f26,f2307]) ).
fof(f13765,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(X1,join(X0,sK1)),
inference(forward_demodulation,[],[f13738,f26]) ).
fof(f13909,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(X1,join(sK1,X0)),
inference(superposition,[],[f13765,f19]) ).
fof(f14111,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(join(X0,sK1),X1),
inference(superposition,[],[f19,f13765]) ).
fof(f14161,plain,
! [X0,X1] : join(sK1,join(X0,X1)) = join(X0,join(sK1,X1)),
inference(forward_demodulation,[],[f14111,f20]) ).
fof(f15322,plain,
! [X0] : join(X0,top) = join(sK1,join(complement(sK1),X0)),
inference(superposition,[],[f13909,f30]) ).
fof(f23325,plain,
! [X0] : join(X0,top) = join(converse(sK2),join(complement(converse(sK2)),X0)),
inference(superposition,[],[f2522,f30]) ).
fof(f23654,plain,
! [X0] : join(X0,top) = join(converse(sK2),join(X0,complement(converse(sK2)))),
inference(superposition,[],[f23325,f19]) ).
fof(f25080,plain,
! [X0,X1] : join(X1,join(X0,sK2)) = converse(converse(join(sK2,join(X0,X1)))),
inference(superposition,[],[f26,f2647]) ).
fof(f25107,plain,
! [X0,X1] : join(sK2,join(X0,X1)) = join(X1,join(X0,sK2)),
inference(forward_demodulation,[],[f25080,f26]) ).
fof(f25261,plain,
! [X0,X1] : join(sK2,join(X0,X1)) = join(X1,join(sK2,X0)),
inference(superposition,[],[f25107,f19]) ).
fof(f27124,plain,
! [X0] : join(X0,top) = join(sK2,join(complement(sK2),X0)),
inference(superposition,[],[f25261,f30]) ).
fof(f58003,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f29,f19]) ).
fof(f64761,plain,
! [X0] : join(converse(join(converse(complement(converse(top))),top)),X0) = join(X0,converse(converse(top))),
inference(superposition,[],[f4567,f58]) ).
fof(f65443,plain,
! [X0] : join(X0,top) = join(converse(join(converse(complement(converse(top))),top)),X0),
inference(forward_demodulation,[],[f64761,f26]) ).
fof(f65851,plain,
! [X0] : join(X0,top) = join(join(complement(converse(top)),converse(top)),X0),
inference(forward_demodulation,[],[f65443,f47]) ).
fof(f66098,plain,
! [X0] : join(X0,top) = join(complement(converse(top)),join(converse(top),X0)),
inference(forward_demodulation,[],[f65851,f20]) ).
fof(f99944,plain,
! [X0] : join(converse(sK2),complement(converse(sK2))) = join(composition(converse(X0),complement(composition(X0,converse(sK2)))),top),
inference(superposition,[],[f23325,f58003]) ).
fof(f99955,plain,
! [X0] : join(sK1,complement(sK1)) = join(composition(converse(X0),complement(composition(X0,sK1))),top),
inference(superposition,[],[f15322,f58003]) ).
fof(f99956,plain,
! [X0] : join(sK2,complement(sK2)) = join(composition(converse(X0),complement(composition(X0,sK2))),top),
inference(superposition,[],[f27124,f58003]) ).
fof(f99964,plain,
! [X0] : join(sK2,complement(sK2)) = join(top,composition(converse(X0),complement(composition(X0,sK2)))),
inference(forward_demodulation,[],[f99956,f19]) ).
fof(f99965,plain,
! [X0] : join(sK1,complement(sK1)) = join(top,composition(converse(X0),complement(composition(X0,sK1)))),
inference(forward_demodulation,[],[f99955,f19]) ).
fof(f99976,plain,
! [X0] : join(converse(sK2),complement(converse(sK2))) = join(top,composition(converse(X0),complement(composition(X0,converse(sK2))))),
inference(forward_demodulation,[],[f99944,f19]) ).
fof(f99989,plain,
! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,sK2)))),
inference(forward_demodulation,[],[f99964,f30]) ).
fof(f99990,plain,
! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,sK1)))),
inference(forward_demodulation,[],[f99965,f30]) ).
fof(f99997,plain,
! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,converse(sK2))))),
inference(forward_demodulation,[],[f99976,f30]) ).
fof(f100083,plain,
top = join(top,complement(composition(one,sK2))),
inference(superposition,[],[f99989,f230]) ).
fof(f100131,plain,
top = join(top,complement(sK2)),
inference(forward_demodulation,[],[f100083,f242]) ).
fof(f100154,plain,
join(sK2,top) = join(top,top),
inference(superposition,[],[f8159,f100131]) ).
fof(f100176,plain,
! [X0] : join(X0,top) = join(top,join(complement(sK2),X0)),
inference(superposition,[],[f6275,f100131]) ).
fof(f100658,plain,
join(top,converse(top)) = join(converse(complement(converse(complement(sK2)))),top),
inference(superposition,[],[f100176,f58]) ).
fof(f100838,plain,
join(top,converse(top)) = join(top,converse(complement(converse(complement(sK2))))),
inference(forward_demodulation,[],[f100658,f19]) ).
fof(f100970,plain,
join(sK2,converse(top)) = join(top,converse(top)),
inference(forward_demodulation,[],[f100838,f2744]) ).
fof(f101134,plain,
join(sK2,converse(top)) = converse(join(sK2,converse(top))),
inference(superposition,[],[f59,f100970]) ).
fof(f101184,plain,
join(sK2,converse(top)) = join(converse(sK2),top),
inference(forward_demodulation,[],[f101134,f48]) ).
fof(f101203,plain,
join(sK2,converse(top)) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f101184,f19]) ).
fof(f102142,plain,
top = join(top,complement(composition(one,sK1))),
inference(superposition,[],[f99990,f230]) ).
fof(f102190,plain,
top = join(top,complement(sK1)),
inference(forward_demodulation,[],[f102142,f242]) ).
fof(f102215,plain,
join(sK1,top) = join(top,top),
inference(superposition,[],[f8159,f102190]) ).
fof(f102299,plain,
join(sK1,top) = join(sK2,top),
inference(superposition,[],[f102215,f100154]) ).
fof(f102425,plain,
join(top,converse(sK2)) = join(complement(converse(top)),converse(join(sK1,top))),
inference(superposition,[],[f2667,f102299]) ).
fof(f102474,plain,
join(top,converse(sK1)) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f102425,f2327]) ).
fof(f102502,plain,
join(sK2,converse(top)) = join(top,converse(sK1)),
inference(forward_demodulation,[],[f102474,f101203]) ).
fof(f102546,plain,
join(sK1,converse(top)) = converse(join(sK2,converse(top))),
inference(superposition,[],[f59,f102502]) ).
fof(f102602,plain,
join(sK1,converse(top)) = join(converse(sK2),top),
inference(forward_demodulation,[],[f102546,f48]) ).
fof(f102622,plain,
join(sK1,converse(top)) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f102602,f19]) ).
fof(f102663,plain,
join(sK1,converse(top)) = join(sK2,converse(top)),
inference(superposition,[],[f102622,f101203]) ).
fof(f109138,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f21,f19]) ).
fof(f117731,plain,
top = join(top,complement(composition(one,converse(sK2)))),
inference(superposition,[],[f99997,f230]) ).
fof(f117786,plain,
top = join(top,complement(converse(sK2))),
inference(forward_demodulation,[],[f117731,f242]) ).
fof(f117824,plain,
join(top,top) = join(converse(sK2),top),
inference(superposition,[],[f23654,f117786]) ).
fof(f117879,plain,
join(top,top) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f117824,f19]) ).
fof(f117896,plain,
join(sK2,top) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f117879,f100154]) ).
fof(f117906,plain,
join(sK1,top) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f117896,f102299]) ).
fof(f117931,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f109138,f19]) ).
fof(f118036,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f109138,f30]) ).
fof(f118040,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f118036,f19]) ).
fof(f118083,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f118040,f45]) ).
fof(f118132,plain,
join(sK0,join(sK1,top)) = join(converse(sK2),top),
inference(superposition,[],[f4360,f117906]) ).
fof(f118177,plain,
join(sK0,join(sK1,top)) = join(top,converse(sK2)),
inference(forward_demodulation,[],[f118132,f19]) ).
fof(f118198,plain,
join(sK0,join(sK1,top)) = join(sK2,converse(top)),
inference(forward_demodulation,[],[f118177,f101203]) ).
fof(f118212,plain,
join(sK1,converse(top)) = join(sK0,join(sK1,top)),
inference(forward_demodulation,[],[f118198,f102663]) ).
fof(f118221,plain,
join(sK1,converse(top)) = join(sK1,top),
inference(forward_demodulation,[],[f118212,f456]) ).
fof(f118249,plain,
join(top,converse(sK1)) = converse(join(sK1,top)),
inference(superposition,[],[f59,f118221]) ).
fof(f118303,plain,
join(sK2,converse(top)) = converse(join(sK1,top)),
inference(forward_demodulation,[],[f118249,f102502]) ).
fof(f118325,plain,
join(sK1,converse(top)) = converse(join(sK1,top)),
inference(forward_demodulation,[],[f118303,f102663]) ).
fof(f118344,plain,
join(sK1,top) = converse(join(sK1,top)),
inference(forward_demodulation,[],[f118325,f118221]) ).
fof(f139473,plain,
! [X0] : top = join(X0,join(converse(sK1),complement(join(converse(sK1),X0)))),
inference(superposition,[],[f459,f2262]) ).
fof(f139521,plain,
! [X0] : top = join(X0,join(sK1,complement(join(sK1,X0)))),
inference(superposition,[],[f459,f14161]) ).
fof(f139776,plain,
! [X0] : join(sK1,top) = join(sK1,join(X0,complement(join(sK0,X0)))),
inference(superposition,[],[f457,f459]) ).
fof(f142300,plain,
join(complement(converse(top)),top) = join(join(sK1,complement(join(sK1,converse(top)))),top),
inference(superposition,[],[f66098,f139521]) ).
fof(f142546,plain,
join(complement(converse(top)),top) = join(sK1,join(complement(join(sK1,converse(top))),top)),
inference(forward_demodulation,[],[f142300,f20]) ).
fof(f142820,plain,
join(complement(converse(top)),top) = join(sK1,join(top,complement(join(sK1,converse(top))))),
inference(forward_demodulation,[],[f142546,f1094]) ).
fof(f143015,plain,
join(complement(converse(top)),top) = join(sK1,join(top,complement(join(sK1,top)))),
inference(forward_demodulation,[],[f142820,f118221]) ).
fof(f143154,plain,
top = join(complement(converse(top)),top),
inference(forward_demodulation,[],[f143015,f459]) ).
fof(f143233,plain,
top = join(top,complement(converse(top))),
inference(forward_demodulation,[],[f143154,f19]) ).
fof(f143422,plain,
! [X0] : join(X0,top) = join(top,join(complement(converse(top)),X0)),
inference(superposition,[],[f6275,f143233]) ).
fof(f150605,plain,
join(sK1,top) = join(top,complement(join(sK0,complement(sK1)))),
inference(superposition,[],[f139776,f446]) ).
fof(f153507,plain,
top = join(converse(join(sK1,complement(converse(converse(sK1))))),join(converse(sK1),complement(converse(join(sK1,top))))),
inference(superposition,[],[f139473,f3411]) ).
fof(f153894,plain,
top = join(converse(sK1),join(complement(converse(join(sK1,top))),converse(join(sK1,complement(converse(converse(sK1))))))),
inference(forward_demodulation,[],[f153507,f2188]) ).
fof(f154154,plain,
top = join(converse(sK1),join(complement(converse(join(sK1,top))),converse(join(sK1,complement(sK1))))),
inference(forward_demodulation,[],[f153894,f26]) ).
fof(f154361,plain,
top = join(converse(sK1),join(complement(converse(join(sK1,top))),converse(top))),
inference(forward_demodulation,[],[f154154,f30]) ).
fof(f154528,plain,
top = join(converse(sK1),join(converse(top),complement(converse(join(sK1,top))))),
inference(forward_demodulation,[],[f154361,f1850]) ).
fof(f154670,plain,
top = join(converse(sK1),join(converse(top),complement(join(sK1,top)))),
inference(forward_demodulation,[],[f154528,f118344]) ).
fof(f156913,plain,
converse(top) = join(sK1,converse(join(converse(top),complement(join(sK1,top))))),
inference(superposition,[],[f47,f154670]) ).
fof(f156922,plain,
converse(top) = join(sK1,join(top,converse(complement(join(sK1,top))))),
inference(forward_demodulation,[],[f156913,f47]) ).
fof(f161930,plain,
top = join(sK1,join(join(top,converse(complement(join(sK1,top)))),complement(converse(top)))),
inference(superposition,[],[f459,f156922]) ).
fof(f161953,plain,
top = join(sK1,join(complement(converse(top)),join(top,converse(complement(join(sK1,top)))))),
inference(forward_demodulation,[],[f161930,f1094]) ).
fof(f161980,plain,
top = join(sK1,join(top,join(complement(converse(top)),converse(complement(join(sK1,top)))))),
inference(forward_demodulation,[],[f161953,f4767]) ).
fof(f162004,plain,
top = join(sK1,join(converse(complement(join(sK1,top))),top)),
inference(forward_demodulation,[],[f161980,f143422]) ).
fof(f162023,plain,
top = join(sK1,join(top,converse(complement(join(sK1,top))))),
inference(forward_demodulation,[],[f162004,f1094]) ).
fof(f162059,plain,
top = converse(top),
inference(superposition,[],[f162023,f156922]) ).
fof(f237190,plain,
! [X0,X1] : converse(top) = join(X0,join(X1,converse(complement(converse(join(X1,X0)))))),
inference(superposition,[],[f58,f447]) ).
fof(f237455,plain,
! [X0,X1] : top = join(X0,join(X1,converse(complement(converse(join(X1,X0)))))),
inference(forward_demodulation,[],[f237190,f162059]) ).
fof(f243302,plain,
! [X0] : top = join(converse(complement(converse(X0))),join(X0,converse(complement(converse(converse(top)))))),
inference(superposition,[],[f237455,f58]) ).
fof(f245563,plain,
! [X0] : top = join(converse(complement(converse(X0))),join(X0,converse(complement(top)))),
inference(forward_demodulation,[],[f243302,f26]) ).
fof(f246642,plain,
! [X0] : top = join(converse(complement(converse(X0))),join(X0,converse(zero))),
inference(forward_demodulation,[],[f245563,f45]) ).
fof(f247517,plain,
! [X0] : top = join(join(X0,converse(zero)),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f246642,f19]) ).
fof(f248216,plain,
! [X0] : top = join(X0,join(converse(zero),converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f247517,f20]) ).
fof(f248748,plain,
! [X0] : top = join(X0,converse(join(zero,complement(converse(X0))))),
inference(forward_demodulation,[],[f248216,f27]) ).
fof(f251865,plain,
! [X0] : converse(top) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
inference(superposition,[],[f47,f248748]) ).
fof(f251872,plain,
! [X0] : converse(top) = join(X0,join(zero,complement(converse(converse(X0))))),
inference(forward_demodulation,[],[f251865,f26]) ).
fof(f252157,plain,
! [X0] : converse(top) = join(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f251872,f26]) ).
fof(f252399,plain,
! [X0] : top = join(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f252157,f162059]) ).
fof(f252815,plain,
! [X0] : top = join(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f252399,f118083]) ).
fof(f253302,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(forward_demodulation,[],[f252815,f20]) ).
fof(f253486,plain,
! [X0] : top = join(complement(X0),join(X0,complement(X0))),
inference(forward_demodulation,[],[f253302,f19]) ).
fof(f253636,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[],[f253486,f30]) ).
fof(f253744,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f253636,f19]) ).
fof(f253846,plain,
top = join(sK1,top),
inference(superposition,[],[f253744,f150605]) ).
fof(f253938,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f459,f253744]) ).
fof(f254750,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f253938,f19]) ).
fof(f255052,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f109138,f253938]) ).
fof(f255057,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f255052,f45]) ).
fof(f255277,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f255057,f19]) ).
fof(f257744,plain,
! [X0,X1] : join(X0,top) = join(X1,join(complement(X1),X0)),
inference(superposition,[],[f460,f30]) ).
fof(f258741,plain,
! [X2,X0,X1] : join(X2,top) = join(join(X0,complement(join(X1,X0))),join(X2,X1)),
inference(superposition,[],[f460,f459]) ).
fof(f260846,plain,
! [X2,X0,X1] : join(top,join(X2,X0)) = join(X1,join(X0,join(complement(X1),X2))),
inference(superposition,[],[f446,f460]) ).
fof(f260852,plain,
! [X2,X0,X1] : top = join(X1,join(X0,join(complement(X1),X2))),
inference(forward_demodulation,[],[f260846,f254750]) ).
fof(f262316,plain,
! [X2,X0,X1] : join(X2,top) = join(X0,join(complement(join(X1,X0)),join(X2,X1))),
inference(forward_demodulation,[],[f258741,f20]) ).
fof(f263129,plain,
! [X0,X1] : top = join(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f257744,f253938]) ).
fof(f264148,plain,
! [X2,X0,X1] : join(X2,top) = join(X0,join(X1,join(complement(join(X1,X0)),X2))),
inference(forward_demodulation,[],[f262316,f460]) ).
fof(f265366,plain,
! [X2,X0,X1] : top = join(X0,join(X1,join(complement(join(X1,X0)),X2))),
inference(forward_demodulation,[],[f264148,f253938]) ).
fof(f267781,plain,
! [X0] : join(sK1,top) = join(sK1,join(complement(sK0),X0)),
inference(superposition,[],[f457,f263129]) ).
fof(f267972,plain,
! [X0] : top = join(sK1,join(complement(sK0),X0)),
inference(forward_demodulation,[],[f267781,f253846]) ).
fof(f275813,plain,
zero = join(zero,complement(top)),
inference(superposition,[],[f255277,f30]) ).
fof(f275846,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f275813,f45]) ).
fof(f275863,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f20,f275846]) ).
fof(f275908,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f275863,f118083]) ).
fof(f276665,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(superposition,[],[f255277,f275908]) ).
fof(f277093,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f276665,f275908]) ).
fof(f278143,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(superposition,[],[f118083,f277093]) ).
fof(f278156,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(forward_demodulation,[],[f278143,f275908]) ).
fof(f278693,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f277093,f278156]) ).
fof(f278694,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f278693,f277093]) ).
fof(f279312,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f20,f278694]) ).
fof(f279315,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f460,f278694]) ).
fof(f279316,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f460,f278694]) ).
fof(f283853,plain,
! [X2,X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,join(complement(complement(X0)),X2)))))) = X0,
inference(superposition,[],[f109138,f260852]) ).
fof(f283856,plain,
! [X2,X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,join(X0,X2)))))) = X0,
inference(forward_demodulation,[],[f283853,f277093]) ).
fof(f284389,plain,
! [X2,X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,join(X0,X2)))))) = X0,
inference(forward_demodulation,[],[f283856,f45]) ).
fof(f284779,plain,
! [X2,X0,X1] : complement(join(complement(X0),complement(join(X1,join(X0,X2))))) = X0,
inference(forward_demodulation,[],[f284389,f275908]) ).
fof(f289262,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f279312,f109138]) ).
fof(f291477,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f289262,f19]) ).
fof(f294303,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X1,join(join(X1,X0),X2)),
inference(superposition,[],[f460,f279315]) ).
fof(f294346,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X1,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f294303,f20]) ).
fof(f295611,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[],[f294346,f279312]) ).
fof(f312176,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f291477,f277093]) ).
fof(f362017,plain,
! [X0] : complement(sK0) = join(complement(sK0),complement(join(sK2,X0))),
inference(superposition,[],[f312176,f455]) ).
fof(f405926,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f295611,f460]) ).
fof(f445608,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(join(X0,X1),join(X1,X0))),
inference(superposition,[],[f278156,f405926]) ).
fof(f446163,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f445608,f20]) ).
fof(f446976,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f446163,f279312]) ).
fof(f447348,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f446976,f279316]) ).
fof(f893264,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0))))),complement(X0)),
inference(superposition,[],[f117931,f117931]) ).
fof(f893488,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[],[f893264,f19]) ).
fof(f893726,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))))),
inference(forward_demodulation,[],[f893488,f20]) ).
fof(f893880,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f893726,f312176]) ).
fof(f995131,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f893880,f284779]) ).
fof(f995925,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(join(X1,complement(X0)),X1),
inference(superposition,[],[f995131,f995131]) ).
fof(f995940,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f995131,f19]) ).
fof(f997120,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,join(complement(X0),X1)),
inference(forward_demodulation,[],[f995925,f20]) ).
fof(f997476,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f997120,f279316]) ).
fof(f1002969,plain,
! [X0] : join(join(complement(sK0),X0),complement(top)) = join(complement(sK1),join(complement(sK0),X0)),
inference(superposition,[],[f997476,f267972]) ).
fof(f1003096,plain,
! [X0] : join(join(X0,complement(sK0)),complement(join(sK2,join(top,X0)))) = join(complement(sK2),join(X0,complement(sK0))),
inference(superposition,[],[f997476,f844]) ).
fof(f1004209,plain,
! [X0] : join(X0,join(complement(sK0),complement(join(sK2,join(top,X0))))) = join(complement(sK2),join(X0,complement(sK0))),
inference(forward_demodulation,[],[f1003096,f20]) ).
fof(f1004319,plain,
! [X0] : join(complement(sK0),join(X0,complement(top))) = join(complement(sK1),join(complement(sK0),X0)),
inference(forward_demodulation,[],[f1002969,f20]) ).
fof(f1005376,plain,
! [X0] : join(X0,complement(sK0)) = join(complement(sK2),join(X0,complement(sK0))),
inference(forward_demodulation,[],[f1004209,f362017]) ).
fof(f1005477,plain,
! [X0] : join(complement(sK0),join(X0,zero)) = join(complement(sK1),join(complement(sK0),X0)),
inference(forward_demodulation,[],[f1004319,f45]) ).
fof(f1006427,plain,
! [X0] : join(zero,join(complement(sK0),X0)) = join(complement(sK1),join(complement(sK0),X0)),
inference(forward_demodulation,[],[f1005477,f460]) ).
fof(f1007237,plain,
! [X0] : join(complement(sK0),X0) = join(complement(sK1),join(complement(sK0),X0)),
inference(forward_demodulation,[],[f1006427,f275908]) ).
fof(f1031916,plain,
! [X0] : top = join(X0,join(complement(join(complement(sK2),X0)),complement(sK0))),
inference(superposition,[],[f265366,f1005376]) ).
fof(f1032047,plain,
! [X0] : top = join(X0,join(complement(sK0),complement(join(complement(sK2),X0)))),
inference(forward_demodulation,[],[f1031916,f405926]) ).
fof(f1041555,plain,
top = join(complement(sK0),complement(join(complement(sK2),complement(sK1)))),
inference(superposition,[],[f1007237,f1032047]) ).
fof(f1042522,plain,
top = join(complement(sK0),complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f1041555,f447348]) ).
fof(f1044818,plain,
join(sK0,complement(join(complement(sK1),complement(sK2)))) = join(complement(join(complement(sK1),complement(sK2))),complement(top)),
inference(superposition,[],[f995940,f1042522]) ).
fof(f1044931,plain,
join(sK0,complement(join(complement(sK1),complement(sK2)))) = join(complement(top),complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f1044818,f19]) ).
fof(f1045024,plain,
join(sK0,complement(join(complement(sK1),complement(sK2)))) = join(zero,complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f1044931,f45]) ).
fof(f1045096,plain,
complement(join(complement(sK1),complement(sK2))) = join(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f1045024,f275908]) ).
fof(f1045148,plain,
$false,
inference(forward_subsumption_resolution,[],[f1045096,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL047+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n008.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:57:55 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.28/4.24 % (1705259)Will run a generic schedule for satisfiability detection.
% 26.28/4.24 % (1705265)% WARNING: option uhcvi not known.
% 26.28/4.24 % (1705265)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3870360139:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.28/4.24 % (1705269)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3618187096:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.28/4.24 % (1705267)dis+10_1_sil=32000:sp=arity:random_seed=206289414:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.28/4.24 % (1705268)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2687787023:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.28/4.24 % (1705264)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2738219847_2999 on theBenchmark for (2999ds/0Mi)
% 26.28/4.24 % (1705266)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2765427393:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.28/4.24 % (1705270)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1859082512:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.28/4.24 % TRYING [1]
% 26.28/4.24 % TRYING [2]
% 26.28/4.24 % TRYING [3]
% 26.28/4.24 % TRYING [4]
% 26.28/4.24 % TRYING [5]
% 26.28/4.24 % (1705267)Instruction limit reached!
% 26.28/4.24 % (1705267)------------------------------
% 26.28/4.24 % (1705267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.28/4.24 % (1705267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.28/4.24 % (1705267)CaDiCaL version: 2.1.3
% 26.28/4.24 % (1705267)Termination reason: Instruction limit
% 26.28/4.24 % (1705267)Termination phase: Saturation
% 26.28/4.24 % (1705267)Time elapsed: 0.098 s
% 26.28/4.24 % (1705267)Peak memory usage: 12 MB
% 26.28/4.24 % (1705267)Instructions burned: 103 (million)
% 26.28/4.24 % (1705269)Instruction limit reached!
% 26.28/4.24 % (1705269)------------------------------
% 26.28/4.24 % (1705269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.28/4.24 % (1705269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.28/4.24 % (1705269)CaDiCaL version: 2.1.3
% 26.28/4.24 % (1705269)Termination reason: Instruction limit
% 26.28/4.24 % (1705269)Termination phase: Saturation
% 26.28/4.24 % (1705269)Time elapsed: 0.109 s
% 26.28/4.24 % (1705269)Peak memory usage: 12 MB
% 26.28/4.24 % (1705269)Instructions burned: 131 (million)
% 26.28/4.24 % (1705268)Instruction limit reached!
% 26.28/4.24 % (1705268)------------------------------
% 26.28/4.24 % (1705268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.28/4.24 % (1705268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.28/4.24 % (1705268)CaDiCaL version: 2.1.3
% 26.28/4.24 % (1705268)Termination reason: Instruction limit
% 26.28/4.24 % (1705268)Termination phase: Saturation
% 26.28/4.24 % (1705268)Time elapsed: 0.113 s
% 26.28/4.24 % (1705268)Peak memory usage: 12 MB
% 26.28/4.24 % (1705268)Instructions burned: 117 (million)
% 26.28/4.24 % (1705282)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1598835300:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 26.28/4.24 % (1705283)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2915860868:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.28/4.24 % TRYING [1]
% 26.28/4.24 % TRYING [2]
% 26.28/4.24 % TRYING [3]
% 26.28/4.24 % (1705284)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2195683159:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.28/4.24 % TRYING [4]
% 26.28/4.24 % (1705270)Instruction limit reached!
% 26.28/4.24 % (1705270)------------------------------
% 26.28/4.24 % (1705270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.28/4.24 % (1705270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.28/4.24 % (1705270)CaDiCaL version: 2.1.3
% 26.28/4.24 % (1705270)Termination reason: Instruction limit
% 26.28/4.24 % (1705270)Termination phase: Saturation
% 26.28/4.24 % (1705270)Time elapsed: 0.159 s
% 26.28/4.24 % (1705270)Peak memory usage: 12 MB
% 26.28/4.24 % (1705270)Instructions burned: 159 (million)
% 26.28/4.24 % (1705288)ott-21_1_sil=16000:fs=off:random_seed=500358700:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.28/4.24 % TRYING [5]
% 26.28/4.24 % (1705283)Instruction limit reached!
% 26.28/4.24 % (1705283)------------------------------
% 26.28/4.24 % (1705283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705283)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705283)Termination reason: Instruction limit
% 87.39/12.80 % (1705283)Termination phase: Saturation
% 87.39/12.80 % (1705283)Time elapsed: 0.140 s
% 87.39/12.80 % (1705283)Peak memory usage: 13 MB
% 87.39/12.80 % (1705283)Instructions burned: 131 (million)
% 87.39/12.80 % (1705288)Instruction limit reached!
% 87.39/12.80 % (1705288)------------------------------
% 87.39/12.80 % (1705288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705288)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705288)Termination reason: Instruction limit
% 87.39/12.80 % (1705288)Termination phase: Saturation
% 87.39/12.80 % (1705288)Time elapsed: 0.120 s
% 87.39/12.80 % (1705288)Peak memory usage: 12 MB
% 87.39/12.80 % (1705288)Instructions burned: 181 (million)
% 87.39/12.80 % (1705294)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4082177505:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 87.39/12.80 % (1705296)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=86653993:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 87.39/12.80 % TRYING [1]
% 87.39/12.80 % TRYING [2]
% 87.39/12.80 % TRYING [6]
% 87.39/12.80 % TRYING [3]
% 87.39/12.80 % TRYING [4]
% 87.39/12.80 % TRYING [5]
% 87.39/12.80 % TRYING [6]
% 87.39/12.80 % (1705282)Instruction limit reached!
% 87.39/12.80 % (1705282)------------------------------
% 87.39/12.80 % (1705282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705282)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705282)Termination reason: Instruction limit
% 87.39/12.80 % (1705282)Termination phase: Finite model building constraint generation
% 87.39/12.80 % (1705282)Time elapsed: 0.592 s
% 87.39/12.80 % (1705282)Peak memory usage: 24 MB
% 87.39/12.80 % (1705282)Instructions burned: 714 (million)
% 87.39/12.80 % TRYING [6]
% 87.39/12.80 % (1705301)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2408095800:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 87.39/12.80 % (1705294)Instruction limit reached!
% 87.39/12.80 % (1705294)------------------------------
% 87.39/12.80 % (1705294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705294)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705294)Termination reason: Instruction limit
% 87.39/12.80 % (1705294)Termination phase: Saturation
% 87.39/12.80 % (1705294)Time elapsed: 0.463 s
% 87.39/12.80 % (1705294)Peak memory usage: 16 MB
% 87.39/12.80 % (1705294)Instructions burned: 478 (million)
% 87.39/12.80 % (1705284)Instruction limit reached!
% 87.39/12.80 % (1705284)------------------------------
% 87.39/12.80 % (1705284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705284)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705284)Termination reason: Instruction limit
% 87.39/12.80 % (1705284)Termination phase: Saturation
% 87.39/12.80 % (1705284)Time elapsed: 0.637 s
% 87.39/12.80 % (1705284)Peak memory usage: 18 MB
% 87.39/12.80 % (1705284)Instructions burned: 684 (million)
% 87.39/12.80 % (1705304)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1397247443:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 87.39/12.80 % (1705305)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=667445431:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 87.39/12.80 % (1705296)Instruction limit reached!
% 87.39/12.80 % (1705296)------------------------------
% 87.39/12.80 % (1705296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.39/12.80 % (1705296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.39/12.80 % (1705296)CaDiCaL version: 2.1.3
% 87.39/12.80 % (1705296)Termination reason: Instruction limit
% 87.39/12.80 % (1705296)Termination phase: Finite model building SAT solving
% 87.39/12.80 % (1705296)Time elapsed: 0.605 s
% 87.39/12.80 % (1705296)Peak memory usage: 22 MB
% 87.39/12.80 % (1705296)Instructions burned: 866 (million)
% 87.39/12.80 % (1705308)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=854432244:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 87.39/12.80 % TRYING [14]
% 87.39/12.80 % (1705305)Instruction limit reached!
% 172.57/24.85 % (1705305)------------------------------
% 172.57/24.85 % (1705305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705305)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705305)Termination reason: Instruction limit
% 172.57/24.85 % (1705305)Termination phase: Saturation
% 172.57/24.85 % (1705305)Time elapsed: 0.611 s
% 172.57/24.85 % (1705305)Peak memory usage: 15 MB
% 172.57/24.85 % (1705305)Instructions burned: 692 (million)
% 172.57/24.85 % (1705312)fmb+10_1_sil=64000:random_seed=1139117967:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 172.57/24.85 % TRYING [1]
% 172.57/24.85 % TRYING [2]
% 172.57/24.85 % TRYING [3]
% 172.57/24.85 % (1705304)Instruction limit reached!
% 172.57/24.85 % (1705304)------------------------------
% 172.57/24.85 % (1705304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705304)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705304)Termination reason: Instruction limit
% 172.57/24.85 % (1705304)Termination phase: Finite model building constraint generation
% 172.57/24.85 % (1705304)Time elapsed: 0.678 s
% 172.57/24.85 % (1705304)Peak memory usage: 82 MB
% 172.57/24.85 % (1705304)Instructions burned: 890 (million)
% 172.57/24.85 % TRYING [7]
% 172.57/24.85 % TRYING [4]
% 172.57/24.85 % (1705315)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=441234804:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 172.57/24.85 % TRYING [20]
% 172.57/24.85 % TRYING [5]
% 172.57/24.85 % (1705308)Instruction limit reached!
% 172.57/24.85 % (1705308)------------------------------
% 172.57/24.85 % (1705308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705308)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705308)Termination reason: Instruction limit
% 172.57/24.85 % (1705308)Termination phase: Saturation
% 172.57/24.85 % (1705308)Time elapsed: 0.781 s
% 172.57/24.85 % (1705308)Peak memory usage: 18 MB
% 172.57/24.85 % (1705308)Instructions burned: 879 (million)
% 172.57/24.85 % (1705318)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2702340385:fmbsr=1.7:i=920_2982 on theBenchmark for (2982ds/920Mi)
% 172.57/24.85 % TRYING [8]
% 172.57/24.85 % (1705301)Instruction limit reached!
% 172.57/24.85 % (1705301)------------------------------
% 172.57/24.85 % (1705301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705301)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705301)Termination reason: Instruction limit
% 172.57/24.85 % (1705301)Termination phase: Saturation
% 172.57/24.85 % (1705301)Time elapsed: 1.078 s
% 172.57/24.85 % (1705301)Peak memory usage: 21 MB
% 172.57/24.85 % (1705301)Instructions burned: 1179 (million)
% 172.57/24.85 % TRYING [6]
% 172.57/24.85 % (1705320)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2697864890:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 172.57/24.85 % (1705318)Instruction limit reached!
% 172.57/24.85 % (1705318)------------------------------
% 172.57/24.85 % (1705318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705318)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705318)Termination reason: Instruction limit
% 172.57/24.85 % (1705318)Termination phase: Finite model building SAT solving
% 172.57/24.85 % (1705318)Time elapsed: 0.513 s
% 172.57/24.85 % (1705318)Peak memory usage: 65 MB
% 172.57/24.85 % (1705318)Instructions burned: 922 (million)
% 172.57/24.85 % (1705322)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2105000506:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 172.57/24.85 % TRYING [7]
% 172.57/24.85 % (1705322)Instruction limit reached!
% 172.57/24.85 % (1705322)------------------------------
% 172.57/24.85 % (1705322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.57/24.85 % (1705322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.57/24.85 % (1705322)CaDiCaL version: 2.1.3
% 172.57/24.85 % (1705322)Termination reason: Instruction limit
% 172.57/24.85 % (1705322)Termination phase: Saturation
% 172.57/24.85 % (1705322)Time elapsed: 1.371 s
% 172.57/24.85 % (1705322)Peak memory usage: 30 MB
% 172.57/24.85 % (1705322)Instructions burned: 1472 (million)
% 172.57/24.85 % (1705326)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1668757242:i=6324_2962 on theBenchmark for (2962ds/6324Mi)
% 143.21/40.03 % TRYING [77]
% 143.21/40.03 % TRYING [8]
% 143.21/40.03 % (1705320)Instruction limit reached!
% 143.21/40.03 % (1705320)------------------------------
% 143.21/40.03 % (1705320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705320)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705320)Termination reason: Instruction limit
% 143.21/40.03 % (1705320)Termination phase: Saturation
% 143.21/40.03 % (1705320)Time elapsed: 4.699 s
% 143.21/40.03 % (1705320)Peak memory usage: 52 MB
% 143.21/40.03 % (1705320)Instructions burned: 5132 (million)
% 143.21/40.03 % (1705330)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=913345156:fmbsr=2.30978:i=2174_2933 on theBenchmark for (2933ds/2174Mi)
% 143.21/40.03 % TRYING [16]
% 143.21/40.03 % TRYING [8]
% 143.21/40.03 % (1705330)Instruction limit reached!
% 143.21/40.03 % (1705330)------------------------------
% 143.21/40.03 % (1705330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705330)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705330)Termination reason: Instruction limit
% 143.21/40.03 % (1705330)Termination phase: Finite model building constraint generation
% 143.21/40.03 % (1705330)Time elapsed: 1.528 s
% 143.21/40.03 % (1705330)Peak memory usage: 135 MB
% 143.21/40.03 % (1705330)Instructions burned: 2175 (million)
% 143.21/40.03 % (1705326)Instruction limit reached!
% 143.21/40.03 % (1705326)------------------------------
% 143.21/40.03 % (1705326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705326)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705326)Termination reason: Instruction limit
% 143.21/40.03 % (1705326)Termination phase: Finite model building constraint generation
% 143.21/40.03 % (1705326)Time elapsed: 4.434 s
% 143.21/40.03 % (1705326)Peak memory usage: 515 MB
% 143.21/40.03 % (1705326)Instructions burned: 6325 (million)
% 143.21/40.03 % (1705338)ott-2_1_sil=16000:newcnf=on:random_seed=3326350580:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2917 on theBenchmark for (2917ds/869Mi)
% 143.21/40.03 % (1705342)ott+10_1_sil=32000:tgt=ground:random_seed=3797852639:i=5114:av=off_2917 on theBenchmark for (2917ds/5114Mi)
% 143.21/40.03 % (1705315)Instruction limit reached!
% 143.21/40.03 % (1705315)------------------------------
% 143.21/40.03 % (1705315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705315)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705315)Termination reason: Instruction limit
% 143.21/40.03 % (1705315)Termination phase: Finite model building constraint generation
% 143.21/40.03 % (1705315)Time elapsed: 6.879 s
% 143.21/40.03 % (1705315)Peak memory usage: 670 MB
% 143.21/40.03 % (1705315)Instructions burned: 9516 (million)
% 143.21/40.03 % (1705344)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3137711549:i=54282_2913 on theBenchmark for (2913ds/54282Mi)
% 143.21/40.03 % TRYING [1]
% 143.21/40.03 % TRYING [2]
% 143.21/40.03 % TRYING [3]
% 143.21/40.03 % TRYING [4]
% 143.21/40.03 % TRYING [5]
% 143.21/40.03 % TRYING [6]
% 143.21/40.03 % (1705338)Instruction limit reached!
% 143.21/40.03 % (1705338)------------------------------
% 143.21/40.03 % (1705338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705338)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705338)Termination reason: Instruction limit
% 143.21/40.03 % (1705338)Termination phase: Saturation
% 143.21/40.03 % (1705338)Time elapsed: 0.879 s
% 143.21/40.03 % (1705338)Peak memory usage: 18 MB
% 143.21/40.03 % (1705338)Instructions burned: 870 (million)
% 143.21/40.03 % (1705346)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=692223261:i=3512:aac=none_2908 on theBenchmark for (2908ds/3512Mi)
% 143.21/40.03 % TRYING [7]
% 143.21/40.03 % (1705346)Instruction limit reached!
% 143.21/40.03 % (1705346)------------------------------
% 143.21/40.03 % (1705346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705346)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705346)Termination reason: Instruction limit
% 143.21/40.03 % (1705346)Termination phase: Saturation
% 143.21/40.03 % (1705346)Time elapsed: 3.121 s
% 143.21/40.03 % (1705346)Peak memory usage: 40 MB
% 143.21/40.03 % (1705346)Instructions burned: 3512 (million)
% 143.21/40.03 % (1705354)dis+21_1_sil=32000:sas=cadical:random_seed=3792384422:i=3773:amm=off_2877 on theBenchmark for (2877ds/3773Mi)
% 143.21/40.03 % TRYING [8]
% 143.21/40.03 % (1705342)Instruction limit reached!
% 143.21/40.03 % (1705342)------------------------------
% 143.21/40.03 % (1705342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.21/40.03 % (1705342)CaDiCaL version: 2.1.3
% 143.21/40.03 % (1705342)Termination reason: Instruction limit
% 143.21/40.03 % (1705342)Termination phase: Saturation
% 143.21/40.03 % (1705342)Time elapsed: 4.860 s
% 143.21/40.03 % (1705342)Peak memory usage: 45 MB
% 143.21/40.03 % (1705342)Instructions burned: 5115 (million)
% 143.21/40.03 % (1705358)ott+11_1_sil=16000:gs=on:random_seed=782210413:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2868 on theBenchmark for (2868ds/2251Mi)
% 143.21/40.03 % TRYING [9]
% 143.21/40.03 % (1705358)Instruction limit reached!
% 143.21/40.03 % (1705358)------------------------------
% 143.21/40.03 % (1705358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.21/40.03 % (1705358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705358)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705358)Termination reason: Instruction limit
% 189.05/40.03 % (1705358)Termination phase: Saturation
% 189.05/40.03 % (1705358)Time elapsed: 2.098 s
% 189.05/40.03 % (1705358)Peak memory usage: 21 MB
% 189.05/40.03 % (1705358)Instructions burned: 2251 (million)
% 189.05/40.03 % (1705362)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1218737245:fmbsr=1.6:i=67534_2846 on theBenchmark for (2846ds/67534Mi)
% 189.05/40.03 % TRYING [7]
% 189.05/40.03 % (1705354)Instruction limit reached!
% 189.05/40.03 % (1705354)------------------------------
% 189.05/40.03 % (1705354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705354)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705354)Termination reason: Instruction limit
% 189.05/40.03 % (1705354)Termination phase: Saturation
% 189.05/40.03 % (1705354)Time elapsed: 3.391 s
% 189.05/40.03 % (1705354)Peak memory usage: 42 MB
% 189.05/40.03 % (1705354)Instructions burned: 3773 (million)
% 189.05/40.03 % (1705364)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3864359396:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2842 on theBenchmark for (2842ds/4591Mi)
% 189.05/40.03 % (1705312)Instruction limit reached!
% 189.05/40.03 % (1705312)------------------------------
% 189.05/40.03 % (1705312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705312)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705312)Termination reason: Instruction limit
% 189.05/40.03 % (1705312)Termination phase: Finite model building SAT solving
% 189.05/40.03 % (1705312)Time elapsed: 17.912 s
% 189.05/40.03 % (1705312)Peak memory usage: 113 MB
% 189.05/40.03 % (1705312)Instructions burned: 22062 (million)
% 189.05/40.03 % (1705368)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2871035558:i=29340_2805 on theBenchmark for (2805ds/29340Mi)
% 189.05/40.03 % (1705364)Instruction limit reached!
% 189.05/40.03 % (1705364)------------------------------
% 189.05/40.03 % (1705364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705364)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705364)Termination reason: Instruction limit
% 189.05/40.03 % (1705364)Termination phase: Saturation
% 189.05/40.03 % (1705364)Time elapsed: 3.825 s
% 189.05/40.03 % (1705364)Peak memory usage: 31 MB
% 189.05/40.03 % (1705364)Instructions burned: 4592 (million)
% 189.05/40.03 % (1705370)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2317549477:i=5211_2804 on theBenchmark for (2804ds/5211Mi)
% 189.05/40.03 % TRYING [8]
% 189.05/40.03 % TRYING [9]
% 189.05/40.03 % (1705370)Instruction limit reached!
% 189.05/40.03 % (1705370)------------------------------
% 189.05/40.03 % (1705370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705370)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705370)Termination reason: Instruction limit
% 189.05/40.03 % (1705370)Termination phase: Saturation
% 189.05/40.03 % (1705370)Time elapsed: 4.726 s
% 189.05/40.03 % (1705370)Peak memory usage: 51 MB
% 189.05/40.03 % (1705370)Instructions burned: 5211 (million)
% 189.05/40.03 % (1705374)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=4066714256:i=5497:nm=2_2756 on theBenchmark for (2756ds/5497Mi)
% 189.05/40.03 % TRYING [17]
% 189.05/40.03 % TRYING [9]
% 189.05/40.03 % (1705374)Instruction limit reached!
% 189.05/40.03 % (1705374)------------------------------
% 189.05/40.03 % (1705374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705374)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705374)Termination reason: Instruction limit
% 189.05/40.03 % (1705374)Termination phase: Finite model building constraint generation
% 189.05/40.03 % (1705374)Time elapsed: 3.997 s
% 189.05/40.03 % (1705374)Peak memory usage: 393 MB
% 189.05/40.03 % (1705374)Instructions burned: 5498 (million)
% 189.05/40.03 % (1705378)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=4285119354:fmbsr=2:i=46332_2715 on theBenchmark for (2715ds/46332Mi)
% 189.05/40.03 % TRYING [15]
% 189.05/40.03 % TRYING [9]
% 189.05/40.03 % (1705344)Instruction limit reached!
% 189.05/40.03 % (1705344)------------------------------
% 189.05/40.03 % (1705344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705344)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705344)Termination reason: Instruction limit
% 189.05/40.03 % (1705344)Termination phase: Finite model building SAT solving
% 189.05/40.03 % (1705344)Time elapsed: 29.607 s
% 189.05/40.03 % (1705344)Peak memory usage: 172 MB
% 189.05/40.03 % (1705344)Instructions burned: 54282 (million)
% 189.05/40.03 % (1705421)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4061199655:i=14071_2617 on theBenchmark for (2617ds/14071Mi)
% 189.05/40.03 % TRYING [12]
% 189.05/40.03 % (1705266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1705259-1705266"...
% 189.05/40.03 % (1705266)...printing done.
% 189.05/40.03 % (1705266)Refutation found. Thanks to Tanya!
% 189.05/40.03 % SZS status Theorem for theBenchmark
% 189.05/40.03 % SZS output start Proof for theBenchmark
% See solution above
% 189.05/40.03 % (1705266)------------------------------
% 189.05/40.03 % (1705266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.05/40.03 % (1705266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.05/40.03 % (1705266)CaDiCaL version: 2.1.3
% 189.05/40.03 % (1705266)Termination reason: Refutation
% 189.05/40.03 % (1705266)Time elapsed: 39.323 s
% 189.05/40.03 % (1705266)Peak memory usage: 205 MB
% 189.05/40.03 % (1705266)Instructions burned: 51404 (million)
% 189.05/40.03 % (1705259)Success in time 39.537 s
% 189.05/40.03 % Vampire exiting
%------------------------------------------------------------------------------