%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:34:12 PM UTC 2026
% Result : Theorem 99.72s 14.69s
% Output : Refutation 99.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 14
% Syntax : Number of formulae : 145 ( 122 unt; 2 def)
% Number of atoms : 168 ( 141 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 19 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn 173 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1))
& join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1))
& join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1)))
| converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1)))
| converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(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,
( meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1)))
| converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1)))))
| converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) ),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21,f21,f21]) ).
fof(f35,definition,
( spl2_1
<=> converse(complement(join(complement(sK0),complement(sK1)))) = join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f37,plain,
( converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
| spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f39,definition,
( spl2_2
<=> complement(join(complement(converse(sK0)),complement(converse(sK1)))) = join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f41,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1)))))
| spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f33,f39,f35]) ).
fof(f43,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X1,complement(X1)),
inference(superposition,[],[f29,f29]) ).
fof(f46,plain,
zero = complement(top),
inference(superposition,[],[f32,f29]) ).
fof(f59,plain,
! [X0] : zero = complement(join(X0,complement(X0))),
inference(superposition,[],[f32,f43]) ).
fof(f66,plain,
! [X0] : complement(top) = complement(join(X0,complement(X0))),
inference(superposition,[],[f59,f46]) ).
fof(f96,plain,
! [X0] : top = join(top,complement(join(X0,complement(X0)))),
inference(superposition,[],[f29,f66]) ).
fof(f211,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[],[f26,f29]) ).
fof(f225,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f211,f25]) ).
fof(f268,plain,
! [X0] : converse(X0) = composition(converse(one),converse(X0)),
inference(superposition,[],[f27,f23]) ).
fof(f287,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(superposition,[],[f268,f25]) ).
fof(f295,plain,
one = converse(one),
inference(superposition,[],[f287,f23]) ).
fof(f300,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f287,f295]) ).
fof(f561,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f562,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f19,f18]) ).
fof(f574,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f19,f29]) ).
fof(f575,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f19,f18]) ).
fof(f672,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f561,f29]) ).
fof(f682,plain,
! [X0,X1] : join(X1,join(complement(X1),X0)) = join(X0,top),
inference(superposition,[],[f561,f18]) ).
fof(f753,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f672,f18]) ).
fof(f763,plain,
! [X0] : join(X0,top) = join(complement(complement(X0)),top),
inference(superposition,[],[f672,f18]) ).
fof(f802,plain,
! [X0] : join(top,X0) = join(complement(complement(X0)),top),
inference(superposition,[],[f753,f18]) ).
fof(f1990,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f562,f19]) ).
fof(f8009,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f28,f18]) ).
fof(f11326,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f8009,f287]) ).
fof(f11378,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f11326,f300]) ).
fof(f11427,plain,
! [X0] : join(X0,complement(X0)) = join(complement(X0),top),
inference(superposition,[],[f682,f11378]) ).
fof(f11521,plain,
! [X0] : top = join(complement(X0),join(top,complement(join(X0,complement(X0))))),
inference(superposition,[],[f574,f11427]) ).
fof(f11567,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[],[f11521,f96]) ).
fof(f11626,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f11567,f802]) ).
fof(f11627,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f11567,f763]) ).
fof(f11758,plain,
top = converse(top),
inference(superposition,[],[f11626,f225]) ).
fof(f12169,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f20,f18]) ).
fof(f13792,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f12169,f12169]) ).
fof(f13796,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f12169,f29]) ).
fof(f13811,plain,
! [X0,X1] : converse(X0) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
inference(superposition,[],[f26,f12169]) ).
fof(f13866,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f13796,f11378]) ).
fof(f13870,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f13792,f18]) ).
fof(f13931,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f13870,f575]) ).
fof(f13969,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(superposition,[],[f13866,f18]) ).
fof(f13972,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),top)),complement(X0)),
inference(superposition,[],[f12169,f13866]) ).
fof(f14036,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f13972,f18]) ).
fof(f14054,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f14036,f11627]) ).
fof(f14511,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f14054,f13866]) ).
fof(f14607,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f13866,f14511]) ).
fof(f14608,plain,
! [X0] : join(complement(top),X0) = X0,
inference(superposition,[],[f13969,f14511]) ).
fof(f14647,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f11378,f14511]) ).
fof(f14648,plain,
! [X0] : join(complement(X0),X0) = join(X0,top),
inference(superposition,[],[f11427,f14511]) ).
fof(f14666,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f14648,f18]) ).
fof(f14723,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f19,f14647]) ).
fof(f14852,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X0)))) = X1,
inference(superposition,[],[f14607,f29]) ).
fof(f15587,plain,
! [X0,X1] : join(X1,join(X0,complement(X0))) = join(X0,join(X1,top)),
inference(superposition,[],[f1990,f14666]) ).
fof(f15663,plain,
! [X0,X1] : join(X0,top) = join(X1,join(X0,complement(X0))),
inference(forward_demodulation,[],[f15587,f11627]) ).
fof(f17605,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f14723,f12169]) ).
fof(f17786,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f17605,f18]) ).
fof(f20502,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f17786,f18]) ).
fof(f21889,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f20502,f14511]) ).
fof(f30746,plain,
! [X0,X1] : converse(join(X0,top)) = join(converse(X1),converse(join(X0,complement(X0)))),
inference(superposition,[],[f26,f15663]) ).
fof(f30890,plain,
! [X0,X1] : converse(join(X0,top)) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
inference(forward_demodulation,[],[f30746,f26]) ).
fof(f31102,plain,
! [X0,X1] : join(converse(X0),converse(top)) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
inference(forward_demodulation,[],[f30890,f26]) ).
fof(f31220,plain,
! [X0,X1] : join(converse(X0),top) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
inference(forward_demodulation,[],[f31102,f11758]) ).
fof(f31272,plain,
! [X0,X1] : top = join(converse(X1),join(converse(X0),converse(complement(X0)))),
inference(forward_demodulation,[],[f31220,f11627]) ).
fof(f80474,plain,
! [X0,X1] : top = join(X0,join(converse(X1),converse(complement(X1)))),
inference(superposition,[],[f31272,f25]) ).
fof(f82307,plain,
! [X0] : top = join(X0,join(one,converse(complement(one)))),
inference(superposition,[],[f80474,f295]) ).
fof(f83292,plain,
top = join(one,converse(complement(one))),
inference(superposition,[],[f82307,f14608]) ).
fof(f96667,plain,
! [X0,X1] : converse(join(X0,complement(X0))) = join(converse(complement(join(zero,X1))),converse(complement(join(zero,complement(X1))))),
inference(superposition,[],[f13811,f59]) ).
fof(f96955,plain,
! [X0,X1] : converse(join(X0,complement(X0))) = join(converse(complement(join(complement(top),X1))),converse(complement(join(complement(top),complement(X1))))),
inference(forward_demodulation,[],[f96667,f46]) ).
fof(f97255,plain,
! [X0] : converse(join(X0,complement(X0))) = converse(top),
inference(forward_demodulation,[],[f96955,f13811]) ).
fof(f97514,plain,
! [X0] : converse(join(X0,complement(X0))) = converse(join(one,converse(complement(one)))),
inference(forward_demodulation,[],[f97255,f83292]) ).
fof(f97712,plain,
! [X0] : converse(join(X0,complement(X0))) = join(converse(one),converse(converse(complement(one)))),
inference(forward_demodulation,[],[f97514,f26]) ).
fof(f97836,plain,
! [X0] : converse(join(X0,complement(X0))) = join(converse(one),complement(one)),
inference(forward_demodulation,[],[f97712,f25]) ).
fof(f97890,plain,
! [X0] : converse(join(X0,complement(X0))) = join(complement(one),converse(one)),
inference(forward_demodulation,[],[f97836,f18]) ).
fof(f97914,plain,
! [X0] : converse(join(X0,complement(X0))) = join(complement(one),one),
inference(forward_demodulation,[],[f97890,f295]) ).
fof(f97934,plain,
! [X0] : converse(join(X0,complement(X0))) = join(one,complement(one)),
inference(forward_demodulation,[],[f97914,f18]) ).
fof(f97949,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = join(one,complement(one)),
inference(forward_demodulation,[],[f97934,f26]) ).
fof(f101648,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(one,complement(one)),
inference(superposition,[],[f97949,f25]) ).
fof(f101705,plain,
! [X0,X1] : join(X0,complement(X0)) = join(converse(X1),converse(complement(X1))),
inference(superposition,[],[f97949,f43]) ).
fof(f104696,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X1))),complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(superposition,[],[f12169,f101705]) ).
fof(f104836,plain,
! [X0,X1] : join(complement(complement(X1)),complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(forward_demodulation,[],[f104696,f14647]) ).
fof(f105040,plain,
! [X0,X1] : join(X1,complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(forward_demodulation,[],[f104836,f14511]) ).
fof(f148915,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f13931,f21889]) ).
fof(f155257,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f148915,f14511]) ).
fof(f156011,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f155257,f14511]) ).
fof(f156894,plain,
! [X0] : join(X0,complement(join(one,complement(one)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f156011,f101648]) ).
fof(f157062,plain,
! [X0] : converse(X0) = join(converse(X0),complement(converse(complement(X0)))),
inference(superposition,[],[f156011,f105040]) ).
fof(f157477,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f156894,f14852]) ).
fof(f160029,plain,
! [X0] : converse(converse(X0)) = join(converse(converse(X0)),converse(complement(converse(complement(X0))))),
inference(superposition,[],[f26,f157062]) ).
fof(f160088,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f160029,f25]) ).
fof(f160643,plain,
! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(converse(complement(converse(complement(X0))))),complement(X0)),
inference(superposition,[],[f21889,f160088]) ).
fof(f160723,plain,
! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(X0),complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f160643,f18]) ).
fof(f160821,plain,
! [X0] : complement(X0) = complement(converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f160723,f157477]) ).
fof(f161143,plain,
! [X0,X1] : join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))) = converse(converse(complement(converse(complement(X0))))),
inference(superposition,[],[f13811,f160821]) ).
fof(f161431,plain,
! [X0,X1] : complement(converse(complement(X0))) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f161143,f25]) ).
fof(f161646,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[],[f161431,f13811]) ).
fof(f163296,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f161646,f14511]) ).
fof(f165367,plain,
( complement(converse(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(converse(join(complement(sK0),complement(sK1)))))
| spl2_1 ),
inference(superposition,[],[f37,f163296]) ).
fof(f165668,plain,
( complement(join(converse(complement(sK0)),converse(complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(converse(complement(sK0)),converse(complement(sK1)))))
| spl2_1 ),
inference(forward_demodulation,[],[f165367,f26]) ).
fof(f165840,plain,
( complement(join(converse(complement(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(converse(complement(sK0)),complement(converse(sK1)))))
| spl2_1 ),
inference(forward_demodulation,[],[f165668,f163296]) ).
fof(f165974,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1)))))
| spl2_1 ),
inference(forward_demodulation,[],[f165840,f163296]) ).
fof(f166039,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f165974,f11378]) ).
fof(f166040,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f166039]) ).
fof(f166206,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
| spl2_2 ),
inference(forward_demodulation,[],[f41,f18]) ).
fof(f166208,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(converse(join(complement(sK0),complement(sK1)))))
| spl2_2 ),
inference(forward_demodulation,[],[f166206,f163296]) ).
fof(f166210,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(converse(complement(sK0)),converse(complement(sK1)))))
| spl2_2 ),
inference(forward_demodulation,[],[f166208,f26]) ).
fof(f166212,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(converse(complement(sK0)),complement(converse(sK1)))))
| spl2_2 ),
inference(forward_demodulation,[],[f166210,f163296]) ).
fof(f166213,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1)))))
| spl2_2 ),
inference(forward_demodulation,[],[f166212,f163296]) ).
fof(f166214,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f166213,f11378]) ).
fof(f166215,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f166214]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f42]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f166040]) ).
cnf(s3,plain,
spl2_2,
inference(sat_conversion,[],[f166215]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f166216,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 % Computer : n007.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 22:47:56 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.54 Running first-order model finding
% 0.27/0.54 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.29/2.84 % (1856599)Will run a generic schedule for satisfiability detection.
% 15.29/2.84 % (1856605)% WARNING: option uhcvi not known.
% 15.29/2.84 % (1856605)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1978444539:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.29/2.84 % (1856607)dis+10_1_sil=32000:sp=arity:random_seed=2693700432:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.29/2.84 % (1856604)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1373243430_2999 on theBenchmark for (2999ds/0Mi)
% 15.29/2.84 % (1856606)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1279190672:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.29/2.84 % (1856608)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=375646925:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.29/2.84 % (1856609)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4152330885:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.29/2.84 % (1856610)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2616252385:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.29/2.84 % TRYING [1]
% 15.29/2.84 % TRYING [2]
% 15.29/2.84 % TRYING [3]
% 15.29/2.84 % TRYING [4]
% 15.29/2.84 % (1856607)Instruction limit reached!
% 15.29/2.84 % (1856607)------------------------------
% 15.29/2.84 % (1856607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.84 % (1856607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.84 % (1856607)CaDiCaL version: 2.1.3
% 15.29/2.84 % (1856607)Termination reason: Instruction limit
% 15.29/2.84 % (1856607)Termination phase: Saturation
% 15.29/2.84 % (1856607)Time elapsed: 0.071 s
% 15.29/2.84 % (1856607)Peak memory usage: 12 MB
% 15.29/2.84 % (1856607)Instructions burned: 103 (million)
% 15.29/2.84 % (1856608)Instruction limit reached!
% 15.29/2.84 % (1856608)------------------------------
% 15.29/2.84 % (1856608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.84 % (1856608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.84 % (1856608)CaDiCaL version: 2.1.3
% 15.29/2.84 % (1856608)Termination reason: Instruction limit
% 15.29/2.84 % (1856608)Termination phase: Saturation
% 15.29/2.84 % (1856608)Time elapsed: 0.082 s
% 15.29/2.84 % (1856608)Peak memory usage: 13 MB
% 15.29/2.84 % (1856608)Instructions burned: 118 (million)
% 15.29/2.84 % (1856618)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1134922765:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.29/2.84 % TRYING [5]
% 15.29/2.84 % TRYING [1]
% 15.29/2.84 % TRYING [2]
% 15.29/2.84 % (1856609)Instruction limit reached!
% 15.29/2.84 % (1856609)------------------------------
% 15.29/2.84 % (1856609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.84 % (1856609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.84 % (1856609)CaDiCaL version: 2.1.3
% 15.29/2.84 % (1856609)Termination reason: Instruction limit
% 15.29/2.84 % (1856609)Termination phase: Saturation
% 15.29/2.84 % (1856609)Time elapsed: 0.094 s
% 15.29/2.84 % (1856609)Peak memory usage: 13 MB
% 15.29/2.84 % (1856609)Instructions burned: 132 (million)
% 15.29/2.84 % TRYING [3]
% 15.29/2.84 % (1856619)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3427035442:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.29/2.84 % TRYING [4]
% 15.29/2.84 % (1856610)Instruction limit reached!
% 15.29/2.84 % (1856610)------------------------------
% 15.29/2.84 % (1856610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.84 % (1856610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.84 % (1856610)CaDiCaL version: 2.1.3
% 15.29/2.84 % (1856610)Termination reason: Instruction limit
% 15.29/2.84 % (1856610)Termination phase: Saturation
% 15.29/2.84 % (1856610)Time elapsed: 0.104 s
% 15.29/2.84 % (1856610)Peak memory usage: 13 MB
% 15.29/2.84 % (1856610)Instructions burned: 160 (million)
% 15.29/2.84 % (1856621)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=2922830137:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.29/2.84 % (1856623)ott-21_1_sil=16000:fs=off:random_seed=2498542688:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.29/2.84 % TRYING [5]
% 15.29/2.84 % (1856619)Instruction limit reached!
% 15.29/2.84 % (1856619)------------------------------
% 15.29/2.84 % (1856619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.43 % (1856619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.43 % (1856619)CaDiCaL version: 2.1.3
% 48.66/7.43 % (1856619)Termination reason: Instruction limit
% 48.66/7.43 % (1856619)Termination phase: Saturation
% 48.66/7.43 % (1856619)Time elapsed: 0.084 s
% 48.66/7.43 % (1856619)Peak memory usage: 13 MB
% 48.66/7.43 % (1856619)Instructions burned: 132 (million)
% 48.66/7.43 % (1856626)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1122342303:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.66/7.43 % (1856623)Instruction limit reached!
% 48.66/7.43 % (1856623)------------------------------
% 48.66/7.43 % (1856623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.43 % (1856623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.43 % (1856623)CaDiCaL version: 2.1.3
% 48.66/7.43 % (1856623)Termination reason: Instruction limit
% 48.66/7.43 % (1856623)Termination phase: Saturation
% 48.66/7.43 % (1856623)Time elapsed: 0.082 s
% 48.66/7.43 % (1856623)Peak memory usage: 12 MB
% 48.66/7.43 % (1856623)Instructions burned: 181 (million)
% 48.66/7.44 % (1856628)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2689942010:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.66/7.44 % TRYING [1]
% 48.66/7.44 % TRYING [2]
% 48.66/7.44 % TRYING [3]
% 48.66/7.44 % TRYING [4]
% 48.66/7.44 % TRYING [5]
% 48.66/7.44 % TRYING [6]
% 48.66/7.44 % TRYING [6]
% 48.66/7.44 % (1856618)Instruction limit reached!
% 48.66/7.44 % (1856618)------------------------------
% 48.66/7.44 % (1856618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.44 % (1856618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.44 % (1856618)CaDiCaL version: 2.1.3
% 48.66/7.44 % (1856618)Termination reason: Instruction limit
% 48.66/7.44 % (1856618)Termination phase: Finite model building constraint generation
% 48.66/7.44 % (1856618)Time elapsed: 0.352 s
% 48.66/7.44 % (1856618)Peak memory usage: 23 MB
% 48.66/7.44 % (1856618)Instructions burned: 716 (million)
% 48.66/7.44 % (1856621)Instruction limit reached!
% 48.66/7.44 % (1856621)------------------------------
% 48.66/7.44 % (1856621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.44 % (1856621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.44 % (1856621)CaDiCaL version: 2.1.3
% 48.66/7.44 % (1856621)Termination reason: Instruction limit
% 48.66/7.44 % (1856621)Termination phase: Saturation
% 48.66/7.44 % (1856621)Time elapsed: 0.347 s
% 48.66/7.44 % (1856621)Peak memory usage: 19 MB
% 48.66/7.44 % (1856621)Instructions burned: 685 (million)
% 48.66/7.44 % (1856630)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4085455326:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 48.66/7.44 % (1856626)Instruction limit reached!
% 48.66/7.44 % (1856626)------------------------------
% 48.66/7.44 % (1856626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.44 % (1856626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.44 % (1856626)CaDiCaL version: 2.1.3
% 48.66/7.44 % (1856626)Termination reason: Instruction limit
% 48.66/7.44 % (1856626)Termination phase: Saturation
% 48.66/7.44 % (1856626)Time elapsed: 0.259 s
% 48.66/7.44 % (1856626)Peak memory usage: 15 MB
% 48.66/7.44 % (1856626)Instructions burned: 479 (million)
% 48.66/7.44 % TRYING [6]
% 48.66/7.44 % (1856631)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4274328140:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 48.66/7.44 % (1856633)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=3593217566:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 48.66/7.44 % (1856628)Instruction limit reached!
% 48.66/7.44 % (1856628)------------------------------
% 48.66/7.44 % (1856628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.66/7.44 % (1856628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.66/7.44 % (1856628)CaDiCaL version: 2.1.3
% 48.66/7.44 % (1856628)Termination reason: Instruction limit
% 48.66/7.44 % (1856628)Termination phase: Finite model building SAT solving
% 48.66/7.44 % (1856628)Time elapsed: 0.349 s
% 48.66/7.44 % (1856628)Peak memory usage: 22 MB
% 48.66/7.44 % (1856628)Instructions burned: 867 (million)
% 48.66/7.44 % TRYING [14]
% 48.66/7.44 % (1856636)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2825028809:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 99.72/14.69 % (1856631)Instruction limit reached!
% 99.72/14.69 % (1856631)------------------------------
% 99.72/14.69 % (1856631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856631)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856631)Termination reason: Instruction limit
% 99.72/14.69 % (1856631)Termination phase: Finite model building constraint generation
% 99.72/14.69 % (1856631)Time elapsed: 0.338 s
% 99.72/14.69 % (1856631)Peak memory usage: 82 MB
% 99.72/14.69 % (1856631)Instructions burned: 891 (million)
% 99.72/14.69 % (1856641)fmb+10_1_sil=64000:random_seed=3169915345:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 99.72/14.69 % TRYING [1]
% 99.72/14.69 % TRYING [2]
% 99.72/14.69 % TRYING [3]
% 99.72/14.69 % TRYING [4]
% 99.72/14.69 % (1856633)Instruction limit reached!
% 99.72/14.69 % (1856633)------------------------------
% 99.72/14.69 % (1856633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856633)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856633)Termination reason: Instruction limit
% 99.72/14.69 % (1856633)Termination phase: Saturation
% 99.72/14.69 % (1856633)Time elapsed: 0.393 s
% 99.72/14.69 % (1856633)Peak memory usage: 17 MB
% 99.72/14.69 % (1856633)Instructions burned: 693 (million)
% 99.72/14.69 % (1856643)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3001089555:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 99.72/14.69 % TRYING [20]
% 99.72/14.69 % TRYING [5]
% 99.72/14.69 % (1856636)Instruction limit reached!
% 99.72/14.69 % (1856636)------------------------------
% 99.72/14.69 % (1856636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856636)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856636)Termination reason: Instruction limit
% 99.72/14.69 % (1856636)Termination phase: Saturation
% 99.72/14.69 % (1856636)Time elapsed: 0.463 s
% 99.72/14.69 % (1856636)Peak memory usage: 19 MB
% 99.72/14.69 % (1856636)Instructions burned: 881 (million)
% 99.72/14.69 % (1856653)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1637958943:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 99.72/14.69 % TRYING [8]
% 99.72/14.69 % TRYING [6]
% 99.72/14.69 % (1856630)Instruction limit reached!
% 99.72/14.69 % (1856630)------------------------------
% 99.72/14.69 % (1856630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856630)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856630)Termination reason: Instruction limit
% 99.72/14.69 % (1856630)Termination phase: Saturation
% 99.72/14.69 % (1856630)Time elapsed: 0.651 s
% 99.72/14.69 % (1856630)Peak memory usage: 21 MB
% 99.72/14.69 % (1856630)Instructions burned: 1179 (million)
% 99.72/14.69 % (1856676)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1116256993:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 99.72/14.69 % TRYING [7]
% 99.72/14.69 % (1856653)Instruction limit reached!
% 99.72/14.69 % (1856653)------------------------------
% 99.72/14.69 % (1856653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856653)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856653)Termination reason: Instruction limit
% 99.72/14.69 % (1856653)Termination phase: Finite model building SAT solving
% 99.72/14.69 % (1856653)Time elapsed: 0.368 s
% 99.72/14.69 % (1856653)Peak memory usage: 65 MB
% 99.72/14.69 % (1856653)Instructions burned: 920 (million)
% 99.72/14.69 % (1856719)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4244285221:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 99.72/14.69 % TRYING [7]
% 99.72/14.69 % (1856719)Instruction limit reached!
% 99.72/14.69 % (1856719)------------------------------
% 99.72/14.69 % (1856719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856719)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856719)Termination reason: Instruction limit
% 99.72/14.69 % (1856719)Termination phase: Saturation
% 99.72/14.69 % (1856719)Time elapsed: 0.740 s
% 99.72/14.69 % (1856719)Peak memory usage: 26 MB
% 99.72/14.69 % (1856719)Instructions burned: 1473 (million)
% 99.72/14.69 % (1856727)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1095401856:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 99.72/14.69 % TRYING [77]
% 99.72/14.69 % (1856676)Instruction limit reached!
% 99.72/14.69 % (1856676)------------------------------
% 99.72/14.69 % (1856676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856676)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856676)Termination reason: Instruction limit
% 99.72/14.69 % (1856676)Termination phase: Saturation
% 99.72/14.69 % (1856676)Time elapsed: 2.740 s
% 99.72/14.69 % (1856676)Peak memory usage: 50 MB
% 99.72/14.69 % (1856676)Instructions burned: 5132 (million)
% 99.72/14.69 % (1856808)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1315210105:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 99.72/14.69 % TRYING [16]
% 99.72/14.69 % TRYING [8]
% 99.72/14.69 % (1856643)Instruction limit reached!
% 99.72/14.69 % (1856643)------------------------------
% 99.72/14.69 % (1856643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856643)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856643)Termination reason: Instruction limit
% 99.72/14.69 % (1856643)Termination phase: Finite model building constraint generation
% 99.72/14.69 % (1856643)Time elapsed: 3.457 s
% 99.72/14.69 % (1856643)Peak memory usage: 670 MB
% 99.72/14.69 % (1856643)Instructions burned: 9516 (million)
% 99.72/14.69 % (1856810)ott-2_1_sil=16000:newcnf=on:random_seed=388236973:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 99.72/14.69 % (1856727)Instruction limit reached!
% 99.72/14.69 % (1856727)------------------------------
% 99.72/14.69 % (1856727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856727)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856727)Termination reason: Instruction limit
% 99.72/14.69 % (1856727)Termination phase: Finite model building constraint generation
% 99.72/14.69 % (1856727)Time elapsed: 2.349 s
% 99.72/14.69 % (1856727)Peak memory usage: 514 MB
% 99.72/14.69 % (1856727)Instructions burned: 6325 (million)
% 99.72/14.69 % (1856808)Instruction limit reached!
% 99.72/14.69 % (1856808)------------------------------
% 99.72/14.69 % (1856808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856808)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856808)Termination reason: Instruction limit
% 99.72/14.69 % (1856808)Termination phase: Finite model building constraint generation
% 99.72/14.69 % (1856808)Time elapsed: 0.740 s
% 99.72/14.69 % (1856808)Peak memory usage: 135 MB
% 99.72/14.69 % (1856808)Instructions burned: 2175 (million)
% 99.72/14.69 % (1856812)ott+10_1_sil=32000:tgt=ground:random_seed=3357083608:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 99.72/14.69 % (1856813)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1725300252:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 99.72/14.69 % TRYING [1]
% 99.72/14.69 % TRYING [2]
% 99.72/14.69 % TRYING [3]
% 99.72/14.69 % TRYING [4]
% 99.72/14.69 % TRYING [5]
% 99.72/14.69 % TRYING [6]
% 99.72/14.69 % (1856810)Instruction limit reached!
% 99.72/14.69 % (1856810)------------------------------
% 99.72/14.69 % (1856810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856810)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856810)Termination reason: Instruction limit
% 99.72/14.69 % (1856810)Termination phase: Saturation
% 99.72/14.69 % (1856810)Time elapsed: 0.493 s
% 99.72/14.69 % (1856810)Peak memory usage: 19 MB
% 99.72/14.69 % (1856810)Instructions burned: 869 (million)
% 99.72/14.69 % TRYING [8]
% 99.72/14.69 % (1856816)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3823166953:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 99.72/14.69 % TRYING [7]
% 99.72/14.69 % (1856816)Instruction limit reached!
% 99.72/14.69 % (1856816)------------------------------
% 99.72/14.69 % (1856816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856816)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856816)Termination reason: Instruction limit
% 99.72/14.69 % (1856816)Termination phase: Saturation
% 99.72/14.69 % (1856816)Time elapsed: 1.841 s
% 99.72/14.69 % (1856816)Peak memory usage: 41 MB
% 99.72/14.69 % (1856816)Instructions burned: 3513 (million)
% 99.72/14.69 % (1856818)dis+21_1_sil=32000:sas=cadical:random_seed=3228797280:i=3773:amm=off_2931 on theBenchmark for (2931ds/3773Mi)
% 99.72/14.69 % (1856812)Instruction limit reached!
% 99.72/14.69 % (1856812)------------------------------
% 99.72/14.69 % (1856812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856812)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856812)Termination reason: Instruction limit
% 99.72/14.69 % (1856812)Termination phase: Saturation
% 99.72/14.69 % (1856812)Time elapsed: 2.891 s
% 99.72/14.69 % (1856812)Peak memory usage: 59 MB
% 99.72/14.69 % (1856812)Instructions burned: 5115 (million)
% 99.72/14.69 % (1856820)ott+11_1_sil=16000:gs=on:random_seed=217301968:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2923 on theBenchmark for (2923ds/2251Mi)
% 99.72/14.69 % (1856818)Instruction limit reached!
% 99.72/14.69 % (1856818)------------------------------
% 99.72/14.69 % (1856818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856818)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856818)Termination reason: Instruction limit
% 99.72/14.69 % (1856818)Termination phase: Saturation
% 99.72/14.69 % (1856818)Time elapsed: 1.999 s
% 99.72/14.69 % (1856818)Peak memory usage: 43 MB
% 99.72/14.69 % (1856818)Instructions burned: 3773 (million)
% 99.72/14.69 % (1856820)Instruction limit reached!
% 99.72/14.69 % (1856820)------------------------------
% 99.72/14.69 % (1856820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856820)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856820)Termination reason: Instruction limit
% 99.72/14.69 % (1856820)Termination phase: Saturation
% 99.72/14.69 % (1856820)Time elapsed: 1.257 s
% 99.72/14.69 % (1856820)Peak memory usage: 27 MB
% 99.72/14.69 % (1856820)Instructions burned: 2251 (million)
% 99.72/14.69 % (1856822)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4091565719:fmbsr=1.6:i=67534_2911 on theBenchmark for (2911ds/67534Mi)
% 99.72/14.69 % (1856823)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2505621398:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2911 on theBenchmark for (2911ds/4591Mi)
% 99.72/14.69 % TRYING [7]
% 99.72/14.69 % TRYING [8]
% 99.72/14.69 % TRYING [9]
% 99.72/14.69 % (1856823)Instruction limit reached!
% 99.72/14.69 % (1856823)------------------------------
% 99.72/14.69 % (1856823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856823)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856823)Termination reason: Instruction limit
% 99.72/14.69 % (1856823)Termination phase: Saturation
% 99.72/14.69 % (1856823)Time elapsed: 2.031 s
% 99.72/14.69 % (1856823)Peak memory usage: 29 MB
% 99.72/14.69 % (1856823)Instructions burned: 4591 (million)
% 99.72/14.69 % (1856826)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1257140320:i=29340_2890 on theBenchmark for (2890ds/29340Mi)
% 99.72/14.69 % (1856641)Instruction limit reached!
% 99.72/14.69 % (1856641)------------------------------
% 99.72/14.69 % (1856641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856641)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856641)Termination reason: Instruction limit
% 99.72/14.69 % (1856641)Termination phase: Finite model building SAT solving
% 99.72/14.69 % (1856641)Time elapsed: 11.111 s
% 99.72/14.69 % (1856641)Peak memory usage: 108 MB
% 99.72/14.69 % (1856641)Instructions burned: 22062 (million)
% 99.72/14.69 % (1856828)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=91547931:i=5211_2879 on theBenchmark for (2879ds/5211Mi)
% 99.72/14.69 % TRYING [8]
% 99.72/14.69 % (1856826) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1856599-1856826"...
% 99.72/14.69 % (1856826)...printing done.
% 99.72/14.69 % (1856826)Refutation found. Thanks to Tanya!
% 99.72/14.69 % SZS status Theorem for theBenchmark
% 99.72/14.69 % SZS output start Proof for theBenchmark
% See solution above
% 99.72/14.69 % (1856826)------------------------------
% 99.72/14.69 % (1856826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.72/14.69 % (1856826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.72/14.69 % (1856826)CaDiCaL version: 2.1.3
% 99.72/14.69 % (1856826)Termination reason: Refutation
% 99.72/14.69 % (1856826)Time elapsed: 3.125 s
% 99.72/14.69 % (1856826)Peak memory usage: 50 MB
% 99.72/14.69 % (1856826)Instructions burned: 6091 (million)
% 99.72/14.69 % (1856599)Success in time 14.135 s
% 99.72/14.69 % Vampire exiting
%------------------------------------------------------------------------------