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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : REL006+1 : 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 : n014.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 12:34:13 PM UTC 2026

% Result   : Theorem 39.47s 6.10s
% Output   : Refutation 39.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   98
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  313 ( 309 unt;   0 def)
%            Number of atoms       :  317 ( 316 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  266 ( 264   !;   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] :
      ( meet(converse(X0),X1) = zero
     => meet(X0,converse(X1)) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] :
        ( meet(converse(X0),X1) = zero
       => meet(X0,converse(X1)) = zero ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ? [X0,X1] :
      ( zero != meet(X0,converse(X1))
      & meet(converse(X0),X1) = zero ),
    inference(ennf_transformation,[],[f15]) ).

fof(f17,plain,
    ( zero != meet(sK0,converse(sK1))
    & zero = meet(converse(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,
    zero = meet(converse(sK0),sK1),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    zero != meet(sK0,converse(sK1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f30,f21]) ).

fof(f34,plain,
    zero != complement(join(complement(sK0),complement(converse(sK1)))),
    inference(definition_unfolding,[],[f32,f21]) ).

fof(f35,plain,
    zero = complement(join(complement(converse(sK0)),complement(sK1))),
    inference(definition_unfolding,[],[f31,f21]) ).

fof(f36,plain,
    top = join(join(complement(converse(sK0)),complement(sK1)),zero),
    inference(superposition,[],[f29,f35]) ).

fof(f40,plain,
    zero = complement(join(complement(sK1),complement(converse(sK0)))),
    inference(superposition,[],[f35,f18]) ).

fof(f44,plain,
    top = join(zero,join(complement(converse(sK0)),complement(sK1))),
    inference(superposition,[],[f36,f18]) ).

fof(f45,plain,
    top = join(zero,join(complement(sK1),complement(converse(sK0)))),
    inference(forward_demodulation,[],[f44,f18]) ).

fof(f53,plain,
    zero = complement(top),
    inference(forward_demodulation,[],[f33,f29]) ).

fof(f54,plain,
    top = join(top,zero),
    inference(superposition,[],[f29,f53]) ).

fof(f55,plain,
    top = join(zero,top),
    inference(forward_demodulation,[],[f54,f18]) ).

fof(f56,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f26,f25]) ).

fof(f57,plain,
    ! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
    inference(superposition,[],[f26,f25]) ).

fof(f58,plain,
    ! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
    inference(superposition,[],[f26,f18]) ).

fof(f63,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f27,f25]) ).

fof(f67,plain,
    ! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[],[f56,f29]) ).

fof(f223,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f63,f23]) ).

fof(f239,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f223,f25]) ).

fof(f244,plain,
    one = converse(one),
    inference(superposition,[],[f239,f23]) ).

fof(f251,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f239,f244]) ).

fof(f310,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f19,f29]) ).

fof(f314,plain,
    ! [X0] : join(join(complement(converse(sK0)),complement(sK1)),join(zero,X0)) = join(top,X0),
    inference(superposition,[],[f19,f36]) ).

fof(f319,plain,
    ! [X0] : join(top,X0) = join(zero,join(join(complement(sK1),complement(converse(sK0))),X0)),
    inference(superposition,[],[f19,f45]) ).

fof(f333,plain,
    top = join(complement(converse(sK0)),join(complement(sK1),zero)),
    inference(superposition,[],[f36,f19]) ).

fof(f334,plain,
    top = join(complement(converse(sK0)),join(zero,complement(sK1))),
    inference(forward_demodulation,[],[f333,f18]) ).

fof(f336,plain,
    ! [X0] : join(top,X0) = join(zero,join(complement(sK1),join(complement(converse(sK0)),X0))),
    inference(forward_demodulation,[],[f319,f19]) ).

fof(f338,plain,
    ! [X0] : join(top,X0) = join(complement(converse(sK0)),join(complement(sK1),join(zero,X0))),
    inference(forward_demodulation,[],[f314,f19]) ).

fof(f340,plain,
    ! [X0] : join(top,X0) = join(complement(converse(sK0)),join(join(zero,complement(sK1)),X0)),
    inference(superposition,[],[f19,f334]) ).

fof(f341,plain,
    ! [X0] : join(top,X0) = join(complement(converse(sK0)),join(zero,join(complement(sK1),X0))),
    inference(forward_demodulation,[],[f340,f19]) ).

fof(f343,plain,
    join(complement(converse(sK0)),join(complement(sK1),top)) = join(top,top),
    inference(superposition,[],[f338,f55]) ).

fof(f345,plain,
    ! [X0] : join(top,X0) = join(complement(converse(sK0)),join(complement(sK1),join(X0,zero))),
    inference(superposition,[],[f338,f18]) ).

fof(f351,plain,
    join(top,top) = join(complement(converse(sK0)),join(top,complement(sK1))),
    inference(forward_demodulation,[],[f343,f18]) ).

fof(f384,plain,
    join(zero,join(complement(sK1),top)) = join(top,complement(complement(converse(sK0)))),
    inference(superposition,[],[f336,f29]) ).

fof(f385,plain,
    ! [X0] : join(top,X0) = join(zero,join(complement(sK1),join(X0,complement(converse(sK0))))),
    inference(superposition,[],[f336,f18]) ).

fof(f391,plain,
    join(top,complement(complement(converse(sK0)))) = join(zero,join(top,complement(sK1))),
    inference(forward_demodulation,[],[f384,f18]) ).

fof(f403,plain,
    ! [X0] : join(top,X0) = join(complement(converse(sK0)),join(zero,join(X0,complement(sK1)))),
    inference(superposition,[],[f341,f18]) ).

fof(f407,plain,
    ! [X0] : join(top,join(complement(converse(sK0)),X0)) = join(complement(converse(sK0)),join(top,X0)),
    inference(superposition,[],[f341,f336]) ).

fof(f419,plain,
    join(complement(converse(sK0)),join(complement(sK1),top)) = join(top,join(complement(converse(sK0)),complement(sK1))),
    inference(superposition,[],[f345,f36]) ).

fof(f424,plain,
    join(top,join(complement(sK1),complement(converse(sK0)))) = join(complement(converse(sK0)),join(complement(sK1),top)),
    inference(forward_demodulation,[],[f419,f18]) ).

fof(f426,plain,
    join(top,join(complement(sK1),complement(converse(sK0)))) = join(complement(converse(sK0)),join(top,complement(sK1))),
    inference(forward_demodulation,[],[f424,f18]) ).

fof(f428,plain,
    join(top,join(complement(sK1),complement(converse(sK0)))) = join(top,top),
    inference(forward_demodulation,[],[f426,f351]) ).

fof(f432,plain,
    join(zero,join(complement(sK1),top)) = join(top,converse(sK0)),
    inference(superposition,[],[f385,f29]) ).

fof(f441,plain,
    join(zero,join(top,complement(sK1))) = join(top,converse(sK0)),
    inference(forward_demodulation,[],[f432,f18]) ).

fof(f445,plain,
    ! [X0] : join(zero,join(join(top,complement(sK1)),X0)) = join(join(top,converse(sK0)),X0),
    inference(superposition,[],[f19,f441]) ).

fof(f446,plain,
    ! [X0] : join(zero,join(join(top,complement(sK1)),X0)) = join(top,join(converse(sK0),X0)),
    inference(forward_demodulation,[],[f445,f19]) ).

fof(f447,plain,
    ! [X0] : join(zero,join(top,join(complement(sK1),X0))) = join(top,join(converse(sK0),X0)),
    inference(forward_demodulation,[],[f446,f19]) ).

fof(f448,plain,
    join(complement(converse(sK0)),join(zero,top)) = join(top,sK1),
    inference(superposition,[],[f403,f29]) ).

fof(f456,plain,
    join(complement(converse(sK0)),join(zero,top)) = join(sK1,top),
    inference(forward_demodulation,[],[f448,f18]) ).

fof(f458,plain,
    join(complement(converse(sK0)),top) = join(sK1,top),
    inference(forward_demodulation,[],[f456,f55]) ).

fof(f460,plain,
    join(top,complement(converse(sK0))) = join(sK1,top),
    inference(forward_demodulation,[],[f458,f18]) ).

fof(f464,plain,
    ! [X0] : join(top,join(complement(converse(sK0)),X0)) = join(join(sK1,top),X0),
    inference(superposition,[],[f19,f460]) ).

fof(f465,plain,
    ! [X0] : join(top,join(complement(converse(sK0)),X0)) = join(sK1,join(top,X0)),
    inference(forward_demodulation,[],[f464,f19]) ).

fof(f485,plain,
    join(top,top) = join(sK1,join(top,complement(complement(converse(sK0))))),
    inference(superposition,[],[f465,f29]) ).

fof(f486,plain,
    ! [X0] : join(top,join(X0,complement(converse(sK0)))) = join(sK1,join(top,X0)),
    inference(superposition,[],[f465,f18]) ).

fof(f495,plain,
    join(top,top) = join(sK1,join(zero,join(top,complement(sK1)))),
    inference(forward_demodulation,[],[f485,f391]) ).

fof(f500,plain,
    join(top,top) = join(sK1,join(top,converse(sK0))),
    inference(forward_demodulation,[],[f495,f441]) ).

fof(f686,plain,
    ! [X0] : join(complement(converse(sK0)),join(top,X0)) = join(sK1,join(top,X0)),
    inference(forward_demodulation,[],[f407,f465]) ).

fof(f708,plain,
    join(complement(converse(sK0)),converse(top)) = join(sK1,converse(top)),
    inference(superposition,[],[f686,f67]) ).

fof(f717,plain,
    join(sK1,converse(top)) = join(converse(top),complement(converse(sK0))),
    inference(forward_demodulation,[],[f708,f18]) ).

fof(f726,plain,
    ! [X0] : join(converse(top),join(complement(converse(sK0)),X0)) = join(join(sK1,converse(top)),X0),
    inference(superposition,[],[f19,f717]) ).

fof(f727,plain,
    ! [X0] : join(converse(top),join(complement(converse(sK0)),X0)) = join(sK1,join(converse(top),X0)),
    inference(forward_demodulation,[],[f726,f19]) ).

fof(f785,plain,
    join(top,join(converse(sK0),complement(converse(sK0)))) = join(zero,join(top,top)),
    inference(superposition,[],[f447,f428]) ).

fof(f795,plain,
    join(sK1,join(top,converse(sK0))) = join(zero,join(top,top)),
    inference(forward_demodulation,[],[f785,f486]) ).

fof(f802,plain,
    join(top,top) = join(zero,join(top,top)),
    inference(forward_demodulation,[],[f795,f500]) ).

fof(f809,plain,
    ! [X0] : join(join(top,top),X0) = join(zero,join(join(top,top),X0)),
    inference(superposition,[],[f19,f802]) ).

fof(f810,plain,
    ! [X0] : join(top,join(top,X0)) = join(zero,join(top,join(top,X0))),
    inference(forward_demodulation,[],[f809,f19]) ).

fof(f836,plain,
    join(top,converse(top)) = join(zero,join(top,converse(top))),
    inference(superposition,[],[f810,f67]) ).

fof(f855,plain,
    ! [X0] : join(join(top,converse(top)),X0) = join(zero,join(join(top,converse(top)),X0)),
    inference(superposition,[],[f19,f836]) ).

fof(f856,plain,
    ! [X0] : join(top,join(converse(top),X0)) = join(zero,join(top,join(converse(top),X0))),
    inference(forward_demodulation,[],[f855,f19]) ).

fof(f890,plain,
    ! [X0] : join(sK1,join(converse(top),X0)) = join(converse(top),join(X0,complement(converse(sK0)))),
    inference(superposition,[],[f727,f18]) ).

fof(f1161,plain,
    join(converse(top),top) = join(sK1,join(converse(top),converse(sK0))),
    inference(superposition,[],[f890,f29]) ).

fof(f1174,plain,
    join(converse(top),top) = join(sK1,join(converse(sK0),converse(top))),
    inference(forward_demodulation,[],[f1161,f18]) ).

fof(f1177,plain,
    join(converse(top),top) = join(sK1,converse(join(sK0,top))),
    inference(forward_demodulation,[],[f1174,f26]) ).

fof(f1179,plain,
    join(top,converse(top)) = join(sK1,converse(join(sK0,top))),
    inference(forward_demodulation,[],[f1177,f18]) ).

fof(f1180,plain,
    converse(join(top,converse(top))) = join(converse(sK1),join(sK0,top)),
    inference(superposition,[],[f57,f1179]) ).

fof(f1181,plain,
    ! [X0] : join(join(top,converse(top)),X0) = join(sK1,join(converse(join(sK0,top)),X0)),
    inference(superposition,[],[f19,f1179]) ).

fof(f1182,plain,
    ! [X0] : join(top,join(converse(top),X0)) = join(sK1,join(converse(join(sK0,top)),X0)),
    inference(forward_demodulation,[],[f1181,f19]) ).

fof(f1183,plain,
    join(converse(top),top) = join(converse(sK1),join(sK0,top)),
    inference(forward_demodulation,[],[f1180,f57]) ).

fof(f1184,plain,
    join(top,converse(top)) = join(converse(sK1),join(sK0,top)),
    inference(forward_demodulation,[],[f1183,f18]) ).

fof(f1186,plain,
    ! [X0] : join(join(top,converse(top)),X0) = join(converse(sK1),join(join(sK0,top),X0)),
    inference(superposition,[],[f19,f1184]) ).

fof(f1187,plain,
    ! [X0] : join(join(top,converse(top)),X0) = join(converse(sK1),join(sK0,join(top,X0))),
    inference(forward_demodulation,[],[f1186,f19]) ).

fof(f1189,plain,
    ! [X0] : join(top,join(converse(top),X0)) = join(converse(sK1),join(sK0,join(top,X0))),
    inference(forward_demodulation,[],[f1187,f19]) ).

fof(f2706,plain,
    ! [X0] : join(top,join(converse(top),converse(X0))) = join(sK1,converse(join(join(sK0,top),X0))),
    inference(superposition,[],[f1182,f26]) ).

fof(f2729,plain,
    ! [X0] : join(top,join(converse(top),converse(X0))) = join(sK1,converse(join(sK0,join(top,X0)))),
    inference(forward_demodulation,[],[f2706,f19]) ).

fof(f2738,plain,
    ! [X0] : join(top,converse(join(top,X0))) = join(sK1,converse(join(sK0,join(top,X0)))),
    inference(forward_demodulation,[],[f2729,f26]) ).

fof(f2830,plain,
    ! [X0] : join(top,converse(join(top,X0))) = join(zero,join(top,converse(join(top,X0)))),
    inference(superposition,[],[f856,f26]) ).

fof(f3428,plain,
    ! [X0] : join(converse(sK1),join(sK0,join(top,X0))) = converse(join(top,converse(join(top,X0)))),
    inference(superposition,[],[f57,f2738]) ).

fof(f3435,plain,
    ! [X0] : join(converse(top),join(top,X0)) = join(converse(sK1),join(sK0,join(top,X0))),
    inference(forward_demodulation,[],[f3428,f57]) ).

fof(f3445,plain,
    ! [X0] : join(top,join(converse(top),X0)) = join(converse(top),join(top,X0)),
    inference(forward_demodulation,[],[f3435,f1189]) ).

fof(f3509,plain,
    join(converse(top),converse(top)) = join(top,join(converse(top),converse(complement(converse(top))))),
    inference(superposition,[],[f3445,f67]) ).

fof(f3533,plain,
    join(converse(top),converse(top)) = join(top,converse(join(top,complement(converse(top))))),
    inference(forward_demodulation,[],[f3509,f26]) ).

fof(f3592,plain,
    converse(join(top,top)) = join(top,converse(join(top,complement(converse(top))))),
    inference(forward_demodulation,[],[f3533,f26]) ).

fof(f4815,plain,
    converse(join(top,top)) = join(zero,converse(join(top,top))),
    inference(superposition,[],[f2830,f3592]) ).

fof(f4833,plain,
    ! [X0] : join(converse(join(top,top)),X0) = join(zero,join(converse(join(top,top)),X0)),
    inference(superposition,[],[f19,f4815]) ).

fof(f6167,plain,
    converse(top) = join(zero,converse(top)),
    inference(superposition,[],[f4833,f67]) ).

fof(f6180,plain,
    converse(converse(top)) = join(converse(zero),top),
    inference(superposition,[],[f57,f6167]) ).

fof(f6182,plain,
    ! [X0] : join(converse(top),X0) = join(zero,join(converse(top),X0)),
    inference(superposition,[],[f19,f6167]) ).

fof(f6183,plain,
    converse(converse(top)) = join(top,converse(zero)),
    inference(forward_demodulation,[],[f6180,f18]) ).

fof(f6188,plain,
    top = join(top,converse(zero)),
    inference(forward_demodulation,[],[f6183,f25]) ).

fof(f6210,plain,
    ! [X0] : join(top,X0) = join(top,join(converse(zero),X0)),
    inference(superposition,[],[f19,f6188]) ).

fof(f6229,plain,
    ! [X0] : join(top,X0) = join(top,join(X0,converse(zero))),
    inference(superposition,[],[f6210,f18]) ).

fof(f6378,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(top,join(join(X0,converse(zero)),X1)),
    inference(superposition,[],[f19,f6229]) ).

fof(f6379,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(top,join(X0,join(converse(zero),X1))),
    inference(forward_demodulation,[],[f6378,f19]) ).

fof(f6401,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(converse(zero),X1))),
    inference(forward_demodulation,[],[f6379,f19]) ).

fof(f6473,plain,
    ! [X0] : converse(join(X0,top)) = join(zero,converse(join(X0,top))),
    inference(superposition,[],[f6182,f58]) ).

fof(f6550,plain,
    ! [X0] : join(converse(zero),join(X0,top)) = converse(converse(join(X0,top))),
    inference(superposition,[],[f57,f6473]) ).

fof(f6553,plain,
    ! [X0] : join(X0,top) = join(converse(zero),join(X0,top)),
    inference(forward_demodulation,[],[f6550,f25]) ).

fof(f6563,plain,
    ! [X0,X1] : join(join(X0,top),X1) = join(converse(zero),join(join(X0,top),X1)),
    inference(superposition,[],[f19,f6553]) ).

fof(f6564,plain,
    ! [X0,X1] : join(X0,join(top,X1)) = join(converse(zero),join(X0,join(top,X1))),
    inference(forward_demodulation,[],[f6563,f19]) ).

fof(f7498,plain,
    ! [X0,X1] : join(top,join(join(converse(zero),X0),X1)) = join(top,join(X1,X0)),
    inference(superposition,[],[f6401,f18]) ).

fof(f7624,plain,
    ! [X0,X1] : join(top,join(converse(zero),join(X0,X1))) = join(top,join(X1,X0)),
    inference(forward_demodulation,[],[f7498,f19]) ).

fof(f7638,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X1,X0)),
    inference(forward_demodulation,[],[f7624,f6210]) ).

fof(f7643,plain,
    ! [X2,X0,X1] : join(top,join(X2,join(X0,X1))) = join(top,join(X0,join(X1,X2))),
    inference(superposition,[],[f7638,f19]) ).

fof(f8982,plain,
    ! [X0] : join(X0,converse(top)) = join(converse(zero),join(X0,converse(top))),
    inference(superposition,[],[f6564,f67]) ).

fof(f9081,plain,
    ! [X0] : converse(join(X0,top)) = join(converse(zero),converse(join(X0,top))),
    inference(superposition,[],[f8982,f26]) ).

fof(f9089,plain,
    ! [X0] : converse(join(X0,top)) = converse(join(zero,join(X0,top))),
    inference(forward_demodulation,[],[f9081,f26]) ).

fof(f9097,plain,
    ! [X0] : converse(converse(join(X0,top))) = join(zero,join(X0,top)),
    inference(superposition,[],[f25,f9089]) ).

fof(f9104,plain,
    ! [X0,X1] : join(converse(join(X0,top)),converse(X1)) = converse(join(X1,join(zero,join(X0,top)))),
    inference(superposition,[],[f58,f9089]) ).

fof(f9113,plain,
    ! [X0,X1] : converse(join(join(X0,top),X1)) = converse(join(X1,join(zero,join(X0,top)))),
    inference(forward_demodulation,[],[f9104,f26]) ).

fof(f9120,plain,
    ! [X0] : join(X0,top) = join(zero,join(X0,top)),
    inference(forward_demodulation,[],[f9097,f25]) ).

fof(f9124,plain,
    ! [X0,X1] : converse(join(X0,join(top,X1))) = converse(join(X1,join(zero,join(X0,top)))),
    inference(forward_demodulation,[],[f9113,f19]) ).

fof(f9132,plain,
    ! [X0] : join(top,X0) = join(zero,join(top,X0)),
    inference(superposition,[],[f9120,f18]) ).

fof(f33706,plain,
    ! [X0,X1] : join(top,join(X0,top)) = join(top,join(X1,join(complement(X1),X0))),
    inference(superposition,[],[f7643,f29]) ).

fof(f37414,plain,
    ! [X0,X1] : join(top,join(X0,top)) = join(top,join(X1,join(X0,complement(X1)))),
    inference(superposition,[],[f33706,f18]) ).

fof(f45679,plain,
    ! [X0,X1] : converse(join(X0,join(top,X1))) = converse(join(X1,join(X0,top))),
    inference(forward_demodulation,[],[f9124,f9120]) ).

fof(f45881,plain,
    ! [X0] : converse(join(X0,converse(top))) = converse(join(converse(complement(converse(top))),join(X0,top))),
    inference(superposition,[],[f45679,f67]) ).

fof(f46099,plain,
    ! [X0,X1] : join(X1,join(X0,top)) = converse(converse(join(X0,join(top,X1)))),
    inference(superposition,[],[f25,f45679]) ).

fof(f46138,plain,
    ! [X0,X1] : join(X0,join(top,X1)) = join(X1,join(X0,top)),
    inference(forward_demodulation,[],[f46099,f25]) ).

fof(f46264,plain,
    ! [X0] : converse(join(X0,converse(top))) = join(complement(converse(top)),converse(join(X0,top))),
    inference(forward_demodulation,[],[f45881,f56]) ).

fof(f46522,plain,
    ! [X0] : join(converse(X0),top) = join(complement(converse(top)),converse(join(X0,top))),
    inference(forward_demodulation,[],[f46264,f57]) ).

fof(f46704,plain,
    ! [X0] : join(top,converse(X0)) = join(complement(converse(top)),converse(join(X0,top))),
    inference(forward_demodulation,[],[f46522,f18]) ).

fof(f47005,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(X1,join(X0,top)),
    inference(superposition,[],[f46138,f18]) ).

fof(f47317,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(X0,join(X1,top)),
    inference(superposition,[],[f18,f46138]) ).

fof(f47687,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(X0,join(X1,top)),
    inference(forward_demodulation,[],[f47317,f19]) ).

fof(f48955,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(X0,join(top,X1)),
    inference(superposition,[],[f47005,f46138]) ).

fof(f83776,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f28,f18]) ).

fof(f107340,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(converse(sK0)),complement(sK1)))))),
    inference(superposition,[],[f83776,f35]) ).

fof(f107424,plain,
    ! [X0] : join(zero,join(complement(sK1),complement(converse(sK0)))) = join(top,composition(converse(X0),complement(composition(X0,converse(sK0))))),
    inference(superposition,[],[f336,f83776]) ).

fof(f107441,plain,
    ! [X0] : join(complement(converse(sK0)),join(zero,complement(sK1))) = join(top,composition(converse(X0),complement(composition(X0,sK1)))),
    inference(superposition,[],[f341,f83776]) ).

fof(f107461,plain,
    ! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,sK1)))),
    inference(forward_demodulation,[],[f107441,f334]) ).

fof(f107478,plain,
    ! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,converse(sK0))))),
    inference(forward_demodulation,[],[f107424,f45]) ).

fof(f107499,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(sK1),complement(converse(sK0))))))),
    inference(forward_demodulation,[],[f107340,f18]) ).

fof(f107603,plain,
    top = join(top,complement(composition(one,sK1))),
    inference(superposition,[],[f107461,f239]) ).

fof(f107682,plain,
    top = join(top,complement(sK1)),
    inference(forward_demodulation,[],[f107603,f251]) ).

fof(f107719,plain,
    join(top,top) = join(complement(converse(sK0)),top),
    inference(superposition,[],[f351,f107682]) ).

fof(f107720,plain,
    join(zero,top) = join(top,converse(sK0)),
    inference(superposition,[],[f441,f107682]) ).

fof(f107792,plain,
    ! [X0] : join(top,X0) = join(top,join(complement(sK1),X0)),
    inference(superposition,[],[f19,f107682]) ).

fof(f107837,plain,
    top = join(top,converse(sK0)),
    inference(forward_demodulation,[],[f107720,f55]) ).

fof(f107838,plain,
    join(top,top) = join(top,complement(converse(sK0))),
    inference(forward_demodulation,[],[f107719,f18]) ).

fof(f107863,plain,
    join(top,top) = join(sK1,top),
    inference(forward_demodulation,[],[f107838,f460]) ).

fof(f108130,plain,
    ! [X0] : join(top,X0) = join(top,join(converse(sK0),X0)),
    inference(superposition,[],[f19,f107837]) ).

fof(f108303,plain,
    join(top,converse(top)) = join(complement(converse(top)),converse(join(sK1,top))),
    inference(superposition,[],[f46704,f107863]) ).

fof(f108360,plain,
    ! [X0] : join(top,join(top,X0)) = join(join(sK1,top),X0),
    inference(superposition,[],[f19,f107863]) ).

fof(f108371,plain,
    ! [X0] : join(top,join(top,X0)) = join(sK1,join(top,X0)),
    inference(forward_demodulation,[],[f108360,f19]) ).

fof(f108383,plain,
    join(top,converse(top)) = join(top,converse(sK1)),
    inference(forward_demodulation,[],[f108303,f46704]) ).

fof(f108709,plain,
    converse(join(top,converse(sK1))) = join(converse(top),top),
    inference(superposition,[],[f57,f108383]) ).

fof(f108788,plain,
    join(top,converse(top)) = converse(join(top,converse(sK1))),
    inference(forward_demodulation,[],[f108709,f18]) ).

fof(f108819,plain,
    join(top,converse(top)) = join(converse(top),sK1),
    inference(forward_demodulation,[],[f108788,f57]) ).

fof(f108843,plain,
    join(top,converse(top)) = join(sK1,converse(top)),
    inference(forward_demodulation,[],[f108819,f18]) ).

fof(f108870,plain,
    join(sK1,converse(top)) = join(top,converse(sK1)),
    inference(superposition,[],[f108843,f108383]) ).

fof(f112753,plain,
    join(top,converse(top)) = join(top,converse(complement(converse(converse(sK0))))),
    inference(superposition,[],[f108130,f67]) ).

fof(f113130,plain,
    join(top,converse(top)) = join(top,converse(complement(sK0))),
    inference(forward_demodulation,[],[f112753,f25]) ).

fof(f113293,plain,
    join(top,converse(complement(sK0))) = join(top,converse(sK1)),
    inference(forward_demodulation,[],[f113130,f108383]) ).

fof(f113394,plain,
    join(top,converse(complement(sK0))) = join(sK1,converse(top)),
    inference(forward_demodulation,[],[f113293,f108870]) ).

fof(f115319,plain,
    converse(join(sK1,converse(top))) = join(converse(top),complement(sK0)),
    inference(superposition,[],[f57,f113394]) ).

fof(f115409,plain,
    converse(join(sK1,converse(top))) = join(complement(sK0),converse(top)),
    inference(forward_demodulation,[],[f115319,f18]) ).

fof(f115429,plain,
    join(converse(sK1),top) = join(complement(sK0),converse(top)),
    inference(forward_demodulation,[],[f115409,f57]) ).

fof(f115440,plain,
    join(top,converse(sK1)) = join(complement(sK0),converse(top)),
    inference(forward_demodulation,[],[f115429,f18]) ).

fof(f115445,plain,
    join(sK1,converse(top)) = join(complement(sK0),converse(top)),
    inference(forward_demodulation,[],[f115440,f108870]) ).

fof(f117560,plain,
    zero = join(zero,complement(composition(one,join(complement(sK1),complement(converse(sK0)))))),
    inference(superposition,[],[f107499,f239]) ).

fof(f117628,plain,
    zero = join(zero,complement(join(complement(sK1),complement(converse(sK0))))),
    inference(forward_demodulation,[],[f117560,f251]) ).

fof(f117683,plain,
    zero = join(zero,zero),
    inference(forward_demodulation,[],[f117628,f40]) ).

fof(f117779,plain,
    ! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
    inference(superposition,[],[f19,f117683]) ).

fof(f131498,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f20,f18]) ).

fof(f135426,plain,
    top = join(top,complement(composition(one,converse(sK0)))),
    inference(superposition,[],[f107478,f239]) ).

fof(f135517,plain,
    top = join(top,complement(converse(sK0))),
    inference(forward_demodulation,[],[f135426,f251]) ).

fof(f135631,plain,
    top = join(sK1,top),
    inference(superposition,[],[f135517,f460]) ).

fof(f135642,plain,
    join(top,top) = join(zero,join(complement(sK1),top)),
    inference(superposition,[],[f385,f135517]) ).

fof(f135737,plain,
    join(top,top) = join(zero,join(top,complement(sK1))),
    inference(forward_demodulation,[],[f135642,f48955]) ).

fof(f135771,plain,
    join(top,top) = join(top,complement(sK1)),
    inference(forward_demodulation,[],[f135737,f9132]) ).

fof(f135797,plain,
    top = join(top,top),
    inference(forward_demodulation,[],[f135771,f107682]) ).

fof(f135906,plain,
    ! [X0] : join(top,X0) = join(sK1,join(top,X0)),
    inference(superposition,[],[f19,f135631]) ).

fof(f136116,plain,
    join(top,converse(top)) = join(complement(converse(top)),converse(top)),
    inference(superposition,[],[f46704,f135797]) ).

fof(f136226,plain,
    join(top,converse(top)) = join(converse(top),complement(converse(top))),
    inference(forward_demodulation,[],[f136116,f18]) ).

fof(f136274,plain,
    top = join(top,converse(top)),
    inference(forward_demodulation,[],[f136226,f29]) ).

fof(f136857,plain,
    converse(top) = join(converse(top),top),
    inference(superposition,[],[f57,f136274]) ).

fof(f136948,plain,
    converse(top) = join(top,converse(top)),
    inference(forward_demodulation,[],[f136857,f18]) ).

fof(f136993,plain,
    top = converse(top),
    inference(forward_demodulation,[],[f136948,f136274]) ).

fof(f137560,plain,
    sK0 = join(complement(join(sK1,converse(top))),complement(join(complement(sK0),complement(converse(top))))),
    inference(superposition,[],[f131498,f115445]) ).

fof(f137620,plain,
    ! [X0] : join(complement(converse(sK0)),complement(sK1)) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
    inference(superposition,[],[f131498,f35]) ).

fof(f137623,plain,
    ! [X0] : join(complement(join(complement(X0),join(complement(converse(sK0)),complement(sK1)))),complement(join(complement(X0),zero))) = X0,
    inference(superposition,[],[f131498,f35]) ).

fof(f137631,plain,
    sK1 = join(complement(join(complement(sK1),converse(sK0))),zero),
    inference(superposition,[],[f131498,f40]) ).

fof(f137642,plain,
    sK1 = join(zero,complement(join(complement(sK1),converse(sK0)))),
    inference(forward_demodulation,[],[f137631,f18]) ).

fof(f137648,plain,
    ! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(converse(sK0)),complement(sK1))))) = X0,
    inference(forward_demodulation,[],[f137623,f18]) ).

fof(f137649,plain,
    ! [X0] : join(complement(sK1),complement(converse(sK0))) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f137620,f18]) ).

fof(f137697,plain,
    sK0 = join(complement(join(sK1,top)),complement(join(complement(sK0),complement(top)))),
    inference(forward_demodulation,[],[f137560,f136993]) ).

fof(f137728,plain,
    ! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(sK1),complement(converse(sK0)))))) = X0,
    inference(forward_demodulation,[],[f137648,f18]) ).

fof(f137762,plain,
    sK0 = join(complement(join(sK1,top)),complement(join(complement(sK0),zero))),
    inference(forward_demodulation,[],[f137697,f53]) ).

fof(f137789,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(sK1),complement(converse(sK0)))))) = X0,
    inference(forward_demodulation,[],[f137728,f18]) ).

fof(f137821,plain,
    sK0 = join(complement(join(sK1,top)),complement(join(zero,complement(sK0)))),
    inference(forward_demodulation,[],[f137762,f18]) ).

fof(f137868,plain,
    sK0 = join(complement(top),complement(join(zero,complement(sK0)))),
    inference(forward_demodulation,[],[f137821,f135631]) ).

fof(f137911,plain,
    sK0 = join(zero,complement(join(zero,complement(sK0)))),
    inference(forward_demodulation,[],[f137868,f53]) ).

fof(f201290,plain,
    join(complement(sK1),complement(converse(sK0))) = join(complement(top),complement(join(zero,complement(top)))),
    inference(superposition,[],[f137649,f55]) ).

fof(f201331,plain,
    ! [X0] : join(top,join(complement(join(zero,complement(X0))),top)) = join(top,join(join(zero,X0),join(complement(sK1),complement(converse(sK0))))),
    inference(superposition,[],[f33706,f137649]) ).

fof(f201339,plain,
    ! [X0] : join(top,join(complement(sK1),join(complement(converse(sK0)),join(zero,X0)))) = join(top,join(complement(join(zero,complement(X0))),top)),
    inference(forward_demodulation,[],[f201331,f7643]) ).

fof(f201376,plain,
    join(complement(sK1),complement(converse(sK0))) = join(zero,complement(join(zero,zero))),
    inference(forward_demodulation,[],[f201290,f53]) ).

fof(f201435,plain,
    ! [X0] : join(top,join(complement(sK1),join(complement(converse(sK0)),join(zero,X0)))) = join(top,join(top,complement(join(zero,complement(X0))))),
    inference(forward_demodulation,[],[f201339,f47687]) ).

fof(f201463,plain,
    join(complement(sK1),complement(converse(sK0))) = join(zero,complement(zero)),
    inference(forward_demodulation,[],[f201376,f117683]) ).

fof(f201508,plain,
    ! [X0] : join(top,join(complement(sK1),join(complement(converse(sK0)),join(zero,X0)))) = join(sK1,join(top,complement(join(zero,complement(X0))))),
    inference(forward_demodulation,[],[f201435,f108371]) ).

fof(f201526,plain,
    top = join(complement(sK1),complement(converse(sK0))),
    inference(forward_demodulation,[],[f201463,f29]) ).

fof(f201558,plain,
    ! [X0] : join(top,join(complement(sK1),join(complement(converse(sK0)),join(zero,X0)))) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f201508,f135906]) ).

fof(f201599,plain,
    ! [X0] : join(top,complement(join(zero,complement(X0)))) = join(top,join(complement(converse(sK0)),join(zero,X0))),
    inference(forward_demodulation,[],[f201558,f107792]) ).

fof(f201636,plain,
    ! [X0] : join(sK1,join(top,join(zero,X0))) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f201599,f465]) ).

fof(f201666,plain,
    ! [X0] : join(top,join(zero,X0)) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f201636,f135906]) ).

fof(f201686,plain,
    ! [X0] : join(zero,join(X0,top)) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f201666,f47687]) ).

fof(f201702,plain,
    ! [X0] : join(X0,top) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f201686,f9120]) ).

fof(f201796,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
    inference(forward_demodulation,[],[f137789,f201526]) ).

fof(f201797,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f201796,f18]) ).

fof(f207729,plain,
    ! [X0] : join(top,join(join(top,complement(X0)),X0)) = join(top,join(complement(join(zero,complement(X0))),top)),
    inference(superposition,[],[f37414,f201797]) ).

fof(f207739,plain,
    ! [X0] : join(top,join(join(top,complement(X0)),X0)) = join(top,join(top,complement(join(zero,complement(X0))))),
    inference(forward_demodulation,[],[f207729,f47687]) ).

fof(f207816,plain,
    ! [X0] : join(top,join(join(top,complement(X0)),X0)) = join(sK1,join(top,complement(join(zero,complement(X0))))),
    inference(forward_demodulation,[],[f207739,f108371]) ).

fof(f207890,plain,
    ! [X0] : join(top,join(join(top,complement(X0)),X0)) = join(top,complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f207816,f135906]) ).

fof(f207928,plain,
    ! [X0] : join(X0,top) = join(top,join(join(top,complement(X0)),X0)),
    inference(forward_demodulation,[],[f207890,f201702]) ).

fof(f207954,plain,
    ! [X0] : join(X0,top) = join(top,join(X0,join(top,complement(X0)))),
    inference(forward_demodulation,[],[f207928,f7638]) ).

fof(f207969,plain,
    ! [X0] : join(top,join(top,top)) = join(X0,top),
    inference(forward_demodulation,[],[f207954,f37414]) ).

fof(f207979,plain,
    ! [X0] : join(sK1,join(top,top)) = join(X0,top),
    inference(forward_demodulation,[],[f207969,f108371]) ).

fof(f207987,plain,
    ! [X0] : join(top,top) = join(X0,top),
    inference(forward_demodulation,[],[f207979,f135906]) ).

fof(f207992,plain,
    ! [X0] : top = join(X0,top),
    inference(forward_demodulation,[],[f207987,f135797]) ).

fof(f207994,plain,
    ! [X0] : top = join(top,X0),
    inference(superposition,[],[f207992,f18]) ).

fof(f208336,plain,
    ! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
    inference(superposition,[],[f131498,f207992]) ).

fof(f208341,plain,
    ! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
    inference(forward_demodulation,[],[f208336,f53]) ).

fof(f208510,plain,
    ! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f208341,f18]) ).

fof(f210826,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f117779,f208510]) ).

fof(f210954,plain,
    sK1 = complement(join(complement(sK1),converse(sK0))),
    inference(superposition,[],[f210826,f137642]) ).

fof(f211124,plain,
    ! [X0] : complement(join(zero,complement(X0))) = X0,
    inference(superposition,[],[f208510,f210826]) ).

fof(f211141,plain,
    sK0 = join(zero,complement(complement(sK0))),
    inference(superposition,[],[f137911,f210826]) ).

fof(f211565,plain,
    sK0 = complement(complement(sK0)),
    inference(forward_demodulation,[],[f211141,f210826]) ).

fof(f211571,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f211124,f210826]) ).

fof(f213289,plain,
    complement(sK1) = join(complement(sK1),converse(sK0)),
    inference(superposition,[],[f211571,f210954]) ).

fof(f213402,plain,
    converse(complement(sK1)) = join(converse(complement(sK1)),sK0),
    inference(superposition,[],[f57,f213289]) ).

fof(f213436,plain,
    converse(complement(sK1)) = join(sK0,converse(complement(sK1))),
    inference(forward_demodulation,[],[f213402,f18]) ).

fof(f215951,plain,
    ! [X0,X1] : top = join(X0,join(complement(X0),X1)),
    inference(forward_demodulation,[],[f310,f207994]) ).

fof(f215957,plain,
    ! [X0] : top = join(complement(sK0),join(sK0,X0)),
    inference(superposition,[],[f215951,f211565]) ).

fof(f216023,plain,
    ! [X0,X1] : top = join(X1,join(X0,complement(X1))),
    inference(superposition,[],[f215951,f18]) ).

fof(f216684,plain,
    ! [X0,X1] : converse(top) = join(X0,converse(join(complement(converse(X0)),X1))),
    inference(superposition,[],[f56,f215951]) ).

fof(f216691,plain,
    ! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
    inference(superposition,[],[f131498,f215951]) ).

fof(f216695,plain,
    ! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X0,X1))))) = X0,
    inference(forward_demodulation,[],[f216691,f211571]) ).

fof(f216700,plain,
    ! [X0,X1] : top = join(X0,converse(join(complement(converse(X0)),X1))),
    inference(forward_demodulation,[],[f216684,f136993]) ).

fof(f217127,plain,
    ! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X0,X1))))) = X0,
    inference(forward_demodulation,[],[f216695,f53]) ).

fof(f217368,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(join(X0,X1)))) = X0,
    inference(forward_demodulation,[],[f217127,f210826]) ).

fof(f218222,plain,
    ! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
    inference(superposition,[],[f131498,f216023]) ).

fof(f218226,plain,
    ! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,X0))))) = X0,
    inference(forward_demodulation,[],[f218222,f211571]) ).

fof(f218585,plain,
    ! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
    inference(forward_demodulation,[],[f218226,f53]) ).

fof(f218793,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
    inference(forward_demodulation,[],[f218585,f210826]) ).

fof(f219359,plain,
    top = join(complement(sK0),converse(complement(sK1))),
    inference(superposition,[],[f215957,f213436]) ).

fof(f225262,plain,
    converse(top) = join(converse(complement(sK0)),complement(sK1)),
    inference(superposition,[],[f57,f219359]) ).

fof(f225286,plain,
    converse(top) = join(complement(sK1),converse(complement(sK0))),
    inference(forward_demodulation,[],[f225262,f18]) ).

fof(f225298,plain,
    top = join(complement(sK1),converse(complement(sK0))),
    inference(forward_demodulation,[],[f225286,f136993]) ).

fof(f225323,plain,
    sK1 = join(complement(top),complement(join(complement(sK1),complement(converse(complement(sK0)))))),
    inference(superposition,[],[f131498,f225298]) ).

fof(f225340,plain,
    sK1 = join(zero,complement(join(complement(sK1),complement(converse(complement(sK0)))))),
    inference(forward_demodulation,[],[f225323,f53]) ).

fof(f225359,plain,
    sK1 = complement(join(complement(sK1),complement(converse(complement(sK0))))),
    inference(forward_demodulation,[],[f225340,f210826]) ).

fof(f226580,plain,
    ! [X0,X1] : top = join(X0,join(converse(complement(converse(X0))),X1)),
    inference(superposition,[],[f216700,f57]) ).

fof(f229111,plain,
    ! [X0] : complement(X0) = complement(join(complement(complement(X0)),complement(complement(X0)))),
    inference(superposition,[],[f217368,f83776]) ).

fof(f230549,plain,
    ! [X0] : complement(X0) = complement(join(X0,X0)),
    inference(forward_demodulation,[],[f229111,f211571]) ).

fof(f232554,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = join(X0,X0),
    inference(superposition,[],[f201797,f230549]) ).

fof(f232568,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[],[f232554,f201797]) ).

fof(f233042,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(superposition,[],[f19,f232568]) ).

fof(f234271,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
    inference(superposition,[],[f233042,f131498]) ).

fof(f236432,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f234271,f18]) ).

fof(f242102,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[],[f236432,f18]) ).

fof(f250906,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X1,X0))) = complement(join(X0,complement(join(join(complement(X0),complement(join(X1,X0))),X2)))),
    inference(superposition,[],[f217368,f218793]) ).

fof(f250916,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X1,X0))) = complement(join(X0,complement(join(complement(X0),join(complement(join(X1,X0)),X2))))),
    inference(forward_demodulation,[],[f250906,f19]) ).

fof(f251809,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
    inference(forward_demodulation,[],[f250916,f236432]) ).

fof(f254792,plain,
    ! [X0,X1] : top = join(converse(X0),join(converse(complement(X0)),X1)),
    inference(superposition,[],[f226580,f25]) ).

fof(f269541,plain,
    ! [X2,X0,X1] : top = join(converse(join(complement(X0),complement(join(X1,X0)))),join(converse(X0),X2)),
    inference(superposition,[],[f254792,f218793]) ).

fof(f269995,plain,
    ! [X2,X0] : top = join(converse(complement(X0)),join(converse(X0),X2)),
    inference(forward_demodulation,[],[f269541,f251809]) ).

fof(f274664,plain,
    ! [X0,X1] : top = join(converse(complement(converse(X0))),join(X0,X1)),
    inference(superposition,[],[f269995,f25]) ).

fof(f278619,plain,
    ! [X0,X1] : converse(top) = join(complement(converse(X0)),converse(join(X0,X1))),
    inference(superposition,[],[f56,f274664]) ).

fof(f278674,plain,
    ! [X0,X1] : top = join(complement(converse(X0)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f278619,f136993]) ).

fof(f294567,plain,
    converse(complement(sK0)) = join(converse(complement(sK0)),sK1),
    inference(superposition,[],[f242102,f225359]) ).

fof(f294639,plain,
    converse(complement(sK0)) = join(sK1,converse(complement(sK0))),
    inference(forward_demodulation,[],[f294567,f18]) ).

fof(f294717,plain,
    top = join(complement(converse(sK1)),converse(converse(complement(sK0)))),
    inference(superposition,[],[f278674,f294639]) ).

fof(f294720,plain,
    top = join(complement(converse(sK1)),complement(sK0)),
    inference(forward_demodulation,[],[f294717,f25]) ).

fof(f294738,plain,
    top = join(complement(sK0),complement(converse(sK1))),
    inference(forward_demodulation,[],[f294720,f18]) ).

fof(f294757,plain,
    zero != complement(top),
    inference(superposition,[],[f34,f294738]) ).

fof(f294820,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f294757,f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL006+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43  % Computer : n014.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sun Sep 27 22:49:31 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.46  Running first-order model finding
% 0.17/0.46  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
% 13.71/2.48  % (1250475)Will run a generic schedule for satisfiability detection.
% 13.71/2.48  % (1250484)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1176453843:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.71/2.48  % (1250481)% WARNING: option uhcvi not known.
% 13.71/2.48  % (1250480)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3983232127_2999 on theBenchmark for (2999ds/0Mi)
% 13.71/2.48  % (1250481)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1733011407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.71/2.48  % (1250482)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2221633861:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.71/2.48  % (1250483)dis+10_1_sil=32000:sp=arity:random_seed=584528539:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.71/2.48  % (1250485)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=264717458:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.71/2.48  % (1250486)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1733971825:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.71/2.48  % TRYING [1]
% 13.71/2.48  % TRYING [2]
% 13.71/2.48  % TRYING [3]
% 13.71/2.48  % TRYING [4]
% 13.71/2.48  % (1250484)Instruction limit reached! 
% 13.71/2.48  % (1250484)------------------------------
% 13.71/2.48  % (1250484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.48  % (1250484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.48  % (1250484)CaDiCaL version: 2.1.3
% 13.71/2.48  % (1250484)Termination reason: Instruction limit
% 13.71/2.48  % (1250484)Termination phase: Saturation
% 13.71/2.48  % (1250484)Time elapsed: 0.039 s
% 13.71/2.48  % (1250484)Peak memory usage: 12 MB
% 13.71/2.48  % (1250484)Instructions burned: 118 (million)
% 13.71/2.48  % (1250506)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=960259476:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.71/2.48  % TRYING [1]
% 13.71/2.48  % TRYING [2]
% 13.71/2.48  % TRYING [3]
% 13.71/2.48  % TRYING [4]
% 13.71/2.48  % (1250483)Instruction limit reached! 
% 13.71/2.48  % (1250483)------------------------------
% 13.71/2.48  % (1250483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.48  % (1250483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.48  % (1250483)CaDiCaL version: 2.1.3
% 13.71/2.48  % (1250483)Termination reason: Instruction limit
% 13.71/2.48  % (1250483)Termination phase: Saturation
% 13.71/2.48  % (1250483)Time elapsed: 0.057 s
% 13.71/2.48  % (1250483)Peak memory usage: 12 MB
% 13.71/2.48  % (1250483)Instructions burned: 103 (million)
% 13.71/2.48  % TRYING [5]
% 13.71/2.48  % TRYING [5]
% 13.71/2.48  % (1250485)Instruction limit reached! 
% 13.71/2.48  % (1250485)------------------------------
% 13.71/2.48  % (1250485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.48  % (1250485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.48  % (1250485)CaDiCaL version: 2.1.3
% 13.71/2.48  % (1250485)Termination reason: Instruction limit
% 13.71/2.48  % (1250485)Termination phase: Saturation
% 13.71/2.48  % (1250485)Time elapsed: 0.076 s
% 13.71/2.48  % (1250485)Peak memory usage: 13 MB
% 13.71/2.48  % (1250485)Instructions burned: 132 (million)
% 13.71/2.48  % (1250519)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2105763577:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.71/2.48  % (1250486)Instruction limit reached! 
% 13.71/2.48  % (1250486)------------------------------
% 13.71/2.48  % (1250486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.48  % (1250486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.48  % (1250486)CaDiCaL version: 2.1.3
% 13.71/2.48  % (1250486)Termination reason: Instruction limit
% 13.71/2.48  % (1250486)Termination phase: Saturation
% 13.71/2.48  % (1250486)Time elapsed: 0.095 s
% 13.71/2.48  % (1250486)Peak memory usage: 13 MB
% 13.71/2.48  % (1250486)Instructions burned: 159 (million)
% 13.71/2.48  % (1250532)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=3889180993:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.71/2.48  % (1250539)ott-21_1_sil=16000:fs=off:random_seed=2071854736:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.71/2.48  % (1250519)Instruction limit reached! 
% 13.71/2.48  % (1250519)------------------------------
% 13.71/2.48  % (1250519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250519)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250519)Termination reason: Instruction limit
% 39.47/6.09  % (1250519)Termination phase: Saturation
% 39.47/6.09  % (1250519)Time elapsed: 0.084 s
% 39.47/6.09  % (1250519)Peak memory usage: 13 MB
% 39.47/6.09  % (1250519)Instructions burned: 131 (million)
% 39.47/6.09  % (1250571)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3570853325:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 39.47/6.09  % TRYING [6]
% 39.47/6.09  % (1250539)Instruction limit reached! 
% 39.47/6.09  % (1250539)------------------------------
% 39.47/6.09  % (1250539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250539)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250539)Termination reason: Instruction limit
% 39.47/6.09  % (1250539)Termination phase: Saturation
% 39.47/6.09  % (1250539)Time elapsed: 0.083 s
% 39.47/6.09  % (1250539)Peak memory usage: 12 MB
% 39.47/6.09  % (1250539)Instructions burned: 182 (million)
% 39.47/6.09  % (1250583)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3346177128:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 39.47/6.09  % TRYING [1]
% 39.47/6.09  % TRYING [2]
% 39.47/6.09  % TRYING [3]
% 39.47/6.09  % (1250506)Instruction limit reached! 
% 39.47/6.09  % (1250506)------------------------------
% 39.47/6.09  % (1250506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250506)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250506)Termination reason: Instruction limit
% 39.47/6.09  % (1250506)Termination phase: Finite model building constraint generation
% 39.47/6.09  % (1250506)Time elapsed: 0.189 s
% 39.47/6.09  % (1250506)Peak memory usage: 24 MB
% 39.47/6.09  % (1250506)Instructions burned: 718 (million)
% 39.47/6.09  % TRYING [6]
% 39.47/6.09  % TRYING [4]
% 39.47/6.09  % (1250597)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1483931649:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 39.47/6.09  % TRYING [5]
% 39.47/6.09  % (1250532)Instruction limit reached! 
% 39.47/6.09  % (1250532)------------------------------
% 39.47/6.09  % (1250532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250532)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250532)Termination reason: Instruction limit
% 39.47/6.09  % (1250532)Termination phase: Saturation
% 39.47/6.09  % (1250532)Time elapsed: 0.351 s
% 39.47/6.09  % (1250532)Peak memory usage: 17 MB
% 39.47/6.09  % (1250532)Instructions burned: 684 (million)
% 39.47/6.09  % (1250571)Instruction limit reached! 
% 39.47/6.09  % (1250571)------------------------------
% 39.47/6.09  % (1250571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250571)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250571)Termination reason: Instruction limit
% 39.47/6.09  % (1250571)Termination phase: Saturation
% 39.47/6.09  % (1250571)Time elapsed: 0.265 s
% 39.47/6.09  % (1250571)Peak memory usage: 16 MB
% 39.47/6.09  % (1250571)Instructions burned: 477 (million)
% 39.47/6.09  % TRYING [6]
% 39.47/6.09  % (1250660)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1601528226:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 39.47/6.09  % (1250661)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=4209495272:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 39.47/6.09  % (1250583)Instruction limit reached! 
% 39.47/6.09  % (1250583)------------------------------
% 39.47/6.09  % (1250583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250583)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250583)Termination reason: Instruction limit
% 39.47/6.09  % (1250583)Termination phase: Finite model building SAT solving
% 39.47/6.09  % (1250583)Time elapsed: 0.340 s
% 39.47/6.09  % (1250583)Peak memory usage: 22 MB
% 39.47/6.09  % (1250583)Instructions burned: 867 (million)
% 39.47/6.09  % TRYING [14]
% 39.47/6.09  % (1250664)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3683553038:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 39.47/6.09  % (1250597)Instruction limit reached! 
% 39.47/6.09  % (1250597)------------------------------
% 39.47/6.09  % (1250597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250597)CaDiCaL version: 2.1.3
% 39.47/6.09  % (1250597)Termination reason: Instruction limit
% 39.47/6.09  % (1250597)Termination phase: Saturation
% 39.47/6.09  % (1250597)Time elapsed: 0.341 s
% 39.47/6.09  % (1250597)Peak memory usage: 20 MB
% 39.47/6.09  % (1250597)Instructions burned: 1181 (million)
% 39.47/6.09  % (1250666)fmb+10_1_sil=64000:random_seed=2533211167:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 39.47/6.09  % TRYING [1]
% 39.47/6.09  % TRYING [2]
% 39.47/6.09  % TRYING [3]
% 39.47/6.09  % TRYING [4]
% 39.47/6.09  % TRYING [5]
% 39.47/6.09  % TRYING [6]
% 39.47/6.09  % (1250660)Instruction limit reached! 
% 39.47/6.09  % (1250660)------------------------------
% 39.47/6.09  % (1250660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.09  % (1250660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.09  % (1250660)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250660)Termination reason: Instruction limit
% 39.47/6.10  % (1250660)Termination phase: Finite model building constraint generation
% 39.47/6.10  % (1250660)Time elapsed: 0.337 s
% 39.47/6.10  % (1250660)Peak memory usage: 82 MB
% 39.47/6.10  % (1250660)Instructions burned: 891 (million)
% 39.47/6.10  % (1250668)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=63945982:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 39.47/6.10  % TRYING [20]
% 39.47/6.10  % (1250661)Instruction limit reached! 
% 39.47/6.10  % (1250661)------------------------------
% 39.47/6.10  % (1250661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250661)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250661)Termination reason: Instruction limit
% 39.47/6.10  % (1250661)Termination phase: Saturation
% 39.47/6.10  % (1250661)Time elapsed: 0.380 s
% 39.47/6.10  % (1250661)Peak memory usage: 16 MB
% 39.47/6.10  % (1250661)Instructions burned: 693 (million)
% 39.47/6.10  % (1250670)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4248950668:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 39.47/6.10  % TRYING [8]
% 39.47/6.10  % TRYING [7]
% 39.47/6.10  % TRYING [7]
% 39.47/6.10  % (1250664)Instruction limit reached! 
% 39.47/6.10  % (1250664)------------------------------
% 39.47/6.10  % (1250664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250664)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250664)Termination reason: Instruction limit
% 39.47/6.10  % (1250664)Termination phase: Saturation
% 39.47/6.10  % (1250664)Time elapsed: 0.463 s
% 39.47/6.10  % (1250664)Peak memory usage: 18 MB
% 39.47/6.10  % (1250664)Instructions burned: 879 (million)
% 39.47/6.10  % (1250672)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3205153865:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 39.47/6.10  % (1250670)Instruction limit reached! 
% 39.47/6.10  % (1250670)------------------------------
% 39.47/6.10  % (1250670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250670)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250670)Termination reason: Instruction limit
% 39.47/6.10  % (1250670)Termination phase: Finite model building SAT solving
% 39.47/6.10  % (1250670)Time elapsed: 0.378 s
% 39.47/6.10  % (1250670)Peak memory usage: 65 MB
% 39.47/6.10  % (1250670)Instructions burned: 922 (million)
% 39.47/6.10  % (1250674)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3419672065:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 39.47/6.10  % (1250674)Instruction limit reached! 
% 39.47/6.10  % (1250674)------------------------------
% 39.47/6.10  % (1250674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250674)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250674)Termination reason: Instruction limit
% 39.47/6.10  % (1250674)Termination phase: Saturation
% 39.47/6.10  % (1250674)Time elapsed: 0.676 s
% 39.47/6.10  % (1250674)Peak memory usage: 24 MB
% 39.47/6.10  % (1250674)Instructions burned: 1472 (million)
% 39.47/6.10  % (1250676)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=899478881:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 39.47/6.10  % TRYING [77]
% 39.47/6.10  % TRYING [8]
% 39.47/6.10  % (1250672)Instruction limit reached! 
% 39.47/6.10  % (1250672)------------------------------
% 39.47/6.10  % (1250672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250672)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250672)Termination reason: Instruction limit
% 39.47/6.10  % (1250672)Termination phase: Saturation
% 39.47/6.10  % (1250672)Time elapsed: 2.744 s
% 39.47/6.10  % (1250672)Peak memory usage: 48 MB
% 39.47/6.10  % (1250672)Instructions burned: 5131 (million)
% 39.47/6.10  % (1250679)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2891789638:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 39.47/6.10  % TRYING [16]
% 39.47/6.10  % (1250668)Instruction limit reached! 
% 39.47/6.10  % (1250668)------------------------------
% 39.47/6.10  % (1250668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250668)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250668)Termination reason: Instruction limit
% 39.47/6.10  % (1250668)Termination phase: Finite model building constraint generation
% 39.47/6.10  % (1250668)Time elapsed: 3.457 s
% 39.47/6.10  % (1250668)Peak memory usage: 671 MB
% 39.47/6.10  % (1250668)Instructions burned: 9519 (million)
% 39.47/6.10  % (1250676)Instruction limit reached! 
% 39.47/6.10  % (1250676)------------------------------
% 39.47/6.10  % (1250676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250676)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250676)Termination reason: Instruction limit
% 39.47/6.10  % (1250676)Termination phase: Finite model building constraint generation
% 39.47/6.10  % (1250676)Time elapsed: 2.353 s
% 39.47/6.10  % (1250676)Peak memory usage: 515 MB
% 39.47/6.10  % (1250676)Instructions burned: 6325 (million)
% 39.47/6.10  % (1250681)ott-2_1_sil=16000:newcnf=on:random_seed=4175207029:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 39.47/6.10  % (1250682)ott+10_1_sil=32000:tgt=ground:random_seed=2921701234:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 39.47/6.10  % TRYING [9]
% 39.47/6.10  % TRYING [8]
% 39.47/6.10  % (1250679)Instruction limit reached! 
% 39.47/6.10  % (1250679)------------------------------
% 39.47/6.10  % (1250679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250679)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250679)Termination reason: Instruction limit
% 39.47/6.10  % (1250679)Termination phase: Finite model building constraint generation
% 39.47/6.10  % (1250679)Time elapsed: 0.735 s
% 39.47/6.10  % (1250679)Peak memory usage: 135 MB
% 39.47/6.10  % (1250679)Instructions burned: 2175 (million)
% 39.47/6.10  % (1250685)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=145544632:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 39.47/6.10  % TRYING [1]
% 39.47/6.10  % TRYING [2]
% 39.47/6.10  % TRYING [3]
% 39.47/6.10  % TRYING [4]
% 39.47/6.10  % TRYING [5]
% 39.47/6.10  % TRYING [6]
% 39.47/6.10  % (1250681)Instruction limit reached! 
% 39.47/6.10  % (1250681)------------------------------
% 39.47/6.10  % (1250681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250681)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250681)Termination reason: Instruction limit
% 39.47/6.10  % (1250681)Termination phase: Saturation
% 39.47/6.10  % (1250681)Time elapsed: 0.488 s
% 39.47/6.10  % (1250681)Peak memory usage: 18 MB
% 39.47/6.10  % (1250681)Instructions burned: 869 (million)
% 39.47/6.10  % (1250687)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2081430085:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 39.47/6.10  % (1250482) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1250475-1250482"...
% 39.47/6.10  % (1250482)...printing done.
% 39.47/6.10  % (1250482)Refutation found. Thanks to Tanya!
% 39.47/6.10  % SZS status Theorem for theBenchmark
% 39.47/6.10  % SZS output start Proof for theBenchmark
% See solution above
% 39.47/6.10  % (1250482)------------------------------
% 39.47/6.10  % (1250482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.47/6.10  % (1250482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/6.10  % (1250482)CaDiCaL version: 2.1.3
% 39.47/6.10  % (1250482)Termination reason: Refutation
% 39.47/6.10  % (1250482)Time elapsed: 5.561 s
% 39.47/6.10  % (1250482)Peak memory usage: 64 MB
% 39.47/6.10  % (1250482)Instructions burned: 11417 (million)
% 39.47/6.10  % (1250475)Success in time 5.625 s
% 39.47/6.10  % Vampire exiting
%------------------------------------------------------------------------------