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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : REL007-1 : 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 : n020.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 12:34:14 PM UTC 2026

% Result   : Unsatisfiable 6.99s 1.93s
% Output   : Refutation 6.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  139 ( 139 unt;   0 def)
%            Number of atoms       :  139 ( 138 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :  125 ( 125   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

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_3) ).

fof(f4,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(reorient_equations,[],[f3]) ).

fof(f5,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_4) ).

fof(f6,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(reorient_equations,[],[f5]) ).

fof(f8,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

fof(f10,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

fof(f11,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

fof(f12,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

fof(f13,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_11) ).

fof(f14,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(reorient_equations,[],[f13]) ).

fof(f15,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).

fof(f16,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

fof(f17,negated_conjecture,
    meet(sk1,converse(sk2)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

fof(f18,plain,
    zero = meet(sk1,converse(sk2)),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    meet(converse(sk1),sk2) != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

fof(f20,plain,
    zero != meet(converse(sk1),sk2),
    inference(reorient_equations,[],[f19]) ).

fof(f21,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f16,f6]) ).

fof(f22,plain,
    zero = complement(join(complement(sk1),complement(converse(sk2)))),
    inference(definition_unfolding,[],[f18,f6]) ).

fof(f23,plain,
    zero != complement(join(complement(converse(sk1)),complement(sk2))),
    inference(definition_unfolding,[],[f20,f6]) ).

fof(f24,plain,
    top = join(join(complement(sk1),complement(converse(sk2))),zero),
    inference(superposition,[],[f15,f22]) ).

fof(f25,plain,
    top = join(zero,join(complement(sk1),complement(converse(sk2)))),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f27,plain,
    zero != complement(join(complement(sk2),complement(converse(sk1)))),
    inference(superposition,[],[f23,f1]) ).

fof(f30,plain,
    zero = complement(top),
    inference(superposition,[],[f21,f15]) ).

fof(f40,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f11,f10]) ).

fof(f45,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
    inference(superposition,[],[f1,f11]) ).

fof(f49,plain,
    ! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[],[f40,f15]) ).

fof(f51,plain,
    ! [X0,X1] : join(X1,converse(X0)) = converse(join(X0,converse(X1))),
    inference(superposition,[],[f40,f1]) ).

fof(f102,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f12,f10]) ).

fof(f115,plain,
    ! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(superposition,[],[f11,f45]) ).

fof(f396,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f102,f8]) ).

fof(f418,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f396,f10]) ).

fof(f431,plain,
    one = converse(one),
    inference(superposition,[],[f8,f418]) ).

fof(f435,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f418,f431]) ).

fof(f592,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
    inference(superposition,[],[f2,f1]) ).

fof(f598,plain,
    ! [X2,X0,X1] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
    inference(superposition,[],[f2,f11]) ).

fof(f600,plain,
    ! [X0] : join(top,X0) = join(zero,join(join(complement(sk1),complement(converse(sk2))),X0)),
    inference(superposition,[],[f2,f25]) ).

fof(f608,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f613,plain,
    ! [X0] : join(top,X0) = join(zero,join(complement(sk1),join(complement(converse(sk2)),X0))),
    inference(forward_demodulation,[],[f600,f2]) ).

fof(f618,plain,
    ! [X0] : join(top,X0) = join(zero,join(complement(sk1),join(X0,complement(converse(sk2))))),
    inference(superposition,[],[f613,f1]) ).

fof(f918,plain,
    ! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
    inference(superposition,[],[f14,f418]) ).

fof(f919,plain,
    ! [X0] : zero = join(composition(converse(X0),complement(composition(X0,join(complement(sk1),complement(converse(sk2)))))),zero),
    inference(superposition,[],[f14,f22]) ).

fof(f925,plain,
    ! [X0] : join(zero,join(complement(sk1),complement(converse(sk2)))) = join(top,composition(converse(X0),complement(composition(X0,converse(sk2))))),
    inference(superposition,[],[f618,f14]) ).

fof(f936,plain,
    ! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,converse(sk2))))),
    inference(forward_demodulation,[],[f925,f25]) ).

fof(f940,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(sk1),complement(converse(sk2))))))),
    inference(forward_demodulation,[],[f919,f1]) ).

fof(f941,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
    inference(forward_demodulation,[],[f918,f1]) ).

fof(f961,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f941,f435]) ).

fof(f991,plain,
    top = join(top,complement(composition(one,converse(sk2)))),
    inference(superposition,[],[f936,f418]) ).

fof(f993,plain,
    top = join(top,complement(converse(sk2))),
    inference(forward_demodulation,[],[f991,f435]) ).

fof(f1014,plain,
    ! [X0] : join(top,X0) = join(top,join(complement(converse(sk2)),X0)),
    inference(superposition,[],[f2,f993]) ).

fof(f1055,plain,
    ! [X0] : join(top,X0) = join(top,join(X0,complement(converse(sk2)))),
    inference(superposition,[],[f1014,f1]) ).

fof(f1289,plain,
    ! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(sk1),complement(converse(sk2)))))) = X0,
    inference(superposition,[],[f4,f22]) ).

fof(f1296,plain,
    sk1 = join(zero,complement(join(complement(sk1),converse(sk2)))),
    inference(superposition,[],[f4,f22]) ).

fof(f1297,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[],[f4,f21]) ).

fof(f1298,plain,
    ! [X0] : join(complement(sk1),complement(converse(sk2))) = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
    inference(superposition,[],[f4,f22]) ).

fof(f1300,plain,
    ! [X0] : top = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
    inference(superposition,[],[f4,f30]) ).

fof(f1307,plain,
    ! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
    inference(superposition,[],[f4,f21]) ).

fof(f1316,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
    inference(forward_demodulation,[],[f1307,f1]) ).

fof(f1323,plain,
    ! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f1300,f1]) ).

fof(f1325,plain,
    ! [X0] : join(complement(sk1),complement(converse(sk2))) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
    inference(forward_demodulation,[],[f1298,f1]) ).

fof(f1326,plain,
    ! [X0] : join(zero,complement(complement(X0))) = X0,
    inference(forward_demodulation,[],[f1297,f961]) ).

fof(f1327,plain,
    sk1 = join(zero,complement(join(converse(sk2),complement(sk1)))),
    inference(forward_demodulation,[],[f1296,f1]) ).

fof(f1334,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(sk1),complement(converse(sk2)))))) = X0,
    inference(forward_demodulation,[],[f1289,f1]) ).

fof(f1337,plain,
    top = join(complement(sk1),complement(converse(sk2))),
    inference(forward_demodulation,[],[f1325,f1323]) ).

fof(f1357,plain,
    ! [X0] : join(top,X0) = join(complement(sk1),join(complement(converse(sk2)),X0)),
    inference(superposition,[],[f2,f1337]) ).

fof(f1374,plain,
    ! [X0] : join(top,X0) = join(zero,join(top,X0)),
    inference(superposition,[],[f613,f1357]) ).

fof(f1384,plain,
    ! [X0] : join(top,X0) = join(top,join(X0,zero)),
    inference(forward_demodulation,[],[f1374,f608]) ).

fof(f1412,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(top,join(join(X0,zero),X1)),
    inference(superposition,[],[f2,f1384]) ).

fof(f1413,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(top,join(X0,join(zero,X1))),
    inference(forward_demodulation,[],[f1412,f2]) ).

fof(f1430,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(zero,X1))),
    inference(forward_demodulation,[],[f1413,f2]) ).

fof(f1576,plain,
    ! [X0] : join(top,join(X0,top)) = join(top,join(X0,complement(zero))),
    inference(superposition,[],[f1430,f15]) ).

fof(f1785,plain,
    join(top,join(complement(converse(sk2)),top)) = join(top,complement(zero)),
    inference(superposition,[],[f1014,f1576]) ).

fof(f1792,plain,
    join(top,join(top,complement(converse(sk2)))) = join(top,complement(zero)),
    inference(forward_demodulation,[],[f1785,f608]) ).

fof(f1807,plain,
    join(top,top) = join(top,complement(zero)),
    inference(forward_demodulation,[],[f1792,f1055]) ).

fof(f1975,plain,
    zero = join(zero,complement(composition(one,join(complement(sk1),complement(converse(sk2)))))),
    inference(superposition,[],[f940,f418]) ).

fof(f1980,plain,
    zero = join(zero,complement(join(complement(sk1),complement(converse(sk2))))),
    inference(forward_demodulation,[],[f1975,f435]) ).

fof(f1995,plain,
    zero = join(zero,zero),
    inference(forward_demodulation,[],[f1980,f22]) ).

fof(f2005,plain,
    ! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
    inference(superposition,[],[f2,f1995]) ).

fof(f2237,plain,
    zero = join(complement(top),complement(join(complement(zero),join(complement(sk1),complement(converse(sk2)))))),
    inference(superposition,[],[f1334,f15]) ).

fof(f2258,plain,
    zero = join(complement(top),complement(join(complement(sk1),join(complement(converse(sk2)),complement(zero))))),
    inference(forward_demodulation,[],[f2237,f608]) ).

fof(f2270,plain,
    zero = join(complement(top),complement(join(top,complement(zero)))),
    inference(forward_demodulation,[],[f2258,f1357]) ).

fof(f2281,plain,
    zero = join(complement(top),complement(join(top,top))),
    inference(forward_demodulation,[],[f2270,f1807]) ).

fof(f2287,plain,
    zero = join(zero,complement(join(top,top))),
    inference(forward_demodulation,[],[f2281,f30]) ).

fof(f2410,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f2005,f1326]) ).

fof(f2441,plain,
    sk1 = complement(join(converse(sk2),complement(sk1))),
    inference(superposition,[],[f1327,f2410]) ).

fof(f2443,plain,
    zero = complement(join(top,top)),
    inference(superposition,[],[f2287,f2410]) ).

fof(f2445,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(superposition,[],[f1326,f2410]) ).

fof(f2446,plain,
    top = complement(zero),
    inference(superposition,[],[f15,f2410]) ).

fof(f2624,plain,
    complement(zero) = join(top,top),
    inference(superposition,[],[f2445,f2443]) ).

fof(f2625,plain,
    top = join(top,top),
    inference(forward_demodulation,[],[f2624,f2446]) ).

fof(f2653,plain,
    ! [X0] : join(top,X0) = join(top,join(top,X0)),
    inference(superposition,[],[f2,f2625]) ).

fof(f3060,plain,
    complement(sk1) = join(converse(sk2),complement(sk1)),
    inference(superposition,[],[f2445,f2441]) ).

fof(f3107,plain,
    ! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
    inference(superposition,[],[f592,f15]) ).

fof(f3342,plain,
    ! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
    inference(forward_demodulation,[],[f3107,f608]) ).

fof(f3996,plain,
    converse(top) = join(top,converse(top)),
    inference(superposition,[],[f2653,f49]) ).

fof(f4080,plain,
    converse(top) = converse(converse(top)),
    inference(superposition,[],[f51,f3996]) ).

fof(f4087,plain,
    top = converse(top),
    inference(forward_demodulation,[],[f4080,f10]) ).

fof(f5179,plain,
    ! [X0] : join(top,converse(X0)) = converse(join(X0,top)),
    inference(superposition,[],[f51,f4087]) ).

fof(f5636,plain,
    ! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
    inference(superposition,[],[f1316,f2445]) ).

fof(f5663,plain,
    ! [X0] : complement(X0) = complement(join(X0,complement(complement(X0)))),
    inference(forward_demodulation,[],[f5636,f2410]) ).

fof(f5681,plain,
    ! [X0] : complement(X0) = complement(join(X0,X0)),
    inference(forward_demodulation,[],[f5663,f2445]) ).

fof(f5719,plain,
    ! [X0] : top = join(join(X0,X0),complement(X0)),
    inference(superposition,[],[f15,f5681]) ).

fof(f5725,plain,
    ! [X0] : complement(complement(X0)) = join(X0,X0),
    inference(superposition,[],[f2445,f5681]) ).

fof(f5728,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[],[f5725,f2445]) ).

fof(f5733,plain,
    ! [X0] : top = join(complement(X0),join(X0,X0)),
    inference(forward_demodulation,[],[f5719,f1]) ).

fof(f5741,plain,
    ! [X0] : top = join(X0,join(complement(X0),X0)),
    inference(forward_demodulation,[],[f5733,f608]) ).

fof(f5746,plain,
    ! [X0] : top = join(X0,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f5741,f608]) ).

fof(f5749,plain,
    ! [X0] : top = join(top,X0),
    inference(forward_demodulation,[],[f5746,f3342]) ).

fof(f5773,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
    inference(superposition,[],[f608,f5728]) ).

fof(f5774,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
    inference(superposition,[],[f608,f5728]) ).

fof(f5909,plain,
    ! [X0] : top = join(X0,top),
    inference(superposition,[],[f1,f5749]) ).

fof(f7866,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
    inference(superposition,[],[f5774,f4]) ).

fof(f8144,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f7866,f1]) ).

fof(f9385,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[],[f8144,f5773]) ).

fof(f13748,plain,
    ! [X0,X1] : join(converse(X0),top) = join(converse(join(X0,X1)),complement(converse(X1))),
    inference(superposition,[],[f598,f15]) ).

fof(f13838,plain,
    ! [X0,X1] : join(converse(X0),top) = join(complement(converse(X1)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f13748,f1]) ).

fof(f13913,plain,
    ! [X0,X1] : join(top,converse(X0)) = join(complement(converse(X1)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f13838,f1]) ).

fof(f13978,plain,
    ! [X0,X1] : converse(join(X0,top)) = join(complement(converse(X1)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f13913,f5179]) ).

fof(f14030,plain,
    ! [X0,X1] : converse(top) = join(complement(converse(X1)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f13978,f5909]) ).

fof(f14065,plain,
    ! [X0,X1] : top = join(complement(converse(X1)),converse(join(X0,X1))),
    inference(forward_demodulation,[],[f14030,f4087]) ).

fof(f14259,plain,
    ! [X0,X1] : top = join(complement(converse(X0)),converse(join(X0,X1))),
    inference(superposition,[],[f14065,f115]) ).

fof(f15920,plain,
    top = join(complement(converse(converse(sk2))),converse(complement(sk1))),
    inference(superposition,[],[f14259,f3060]) ).

fof(f16078,plain,
    top = join(converse(complement(sk1)),complement(converse(converse(sk2)))),
    inference(forward_demodulation,[],[f15920,f1]) ).

fof(f16164,plain,
    top = join(converse(complement(sk1)),complement(sk2)),
    inference(forward_demodulation,[],[f16078,f10]) ).

fof(f16223,plain,
    top = join(complement(sk2),converse(complement(sk1))),
    inference(forward_demodulation,[],[f16164,f1]) ).

fof(f16288,plain,
    converse(top) = join(complement(sk1),converse(complement(sk2))),
    inference(superposition,[],[f51,f16223]) ).

fof(f16314,plain,
    top = join(complement(sk1),converse(complement(sk2))),
    inference(forward_demodulation,[],[f16288,f4087]) ).

fof(f16337,plain,
    sk1 = join(complement(join(complement(sk1),complement(converse(complement(sk2))))),complement(top)),
    inference(superposition,[],[f4,f16314]) ).

fof(f16356,plain,
    sk1 = join(complement(top),complement(join(complement(sk1),complement(converse(complement(sk2)))))),
    inference(forward_demodulation,[],[f16337,f1]) ).

fof(f16368,plain,
    sk1 = join(zero,complement(join(complement(sk1),complement(converse(complement(sk2)))))),
    inference(forward_demodulation,[],[f16356,f30]) ).

fof(f16372,plain,
    sk1 = complement(join(complement(sk1),complement(converse(complement(sk2))))),
    inference(forward_demodulation,[],[f16368,f2410]) ).

fof(f17614,plain,
    converse(complement(sk2)) = join(converse(complement(sk2)),sk1),
    inference(superposition,[],[f9385,f16372]) ).

fof(f17650,plain,
    converse(complement(sk2)) = join(sk1,converse(complement(sk2))),
    inference(forward_demodulation,[],[f17614,f1]) ).

fof(f17682,plain,
    top = join(complement(converse(sk1)),converse(converse(complement(sk2)))),
    inference(superposition,[],[f14259,f17650]) ).

fof(f17683,plain,
    top = join(complement(converse(sk1)),complement(sk2)),
    inference(forward_demodulation,[],[f17682,f10]) ).

fof(f17691,plain,
    top = join(complement(sk2),complement(converse(sk1))),
    inference(forward_demodulation,[],[f17683,f1]) ).

fof(f18035,plain,
    zero != complement(top),
    inference(superposition,[],[f27,f17691]) ).

fof(f18070,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f18035,f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : REL007-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.58  % Computer : n020.cluster.edu
% 0.10/0.58  % Model    : x86_64 x86_64
% 0.10/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58  % Memory   : 8046.5625MB
% 0.10/0.58  % OS       : Linux 6.8.0-71-generic
% 0.10/0.58  % CPULimit : 300
% 0.10/0.58  % WCLimit  : 300
% 0.10/0.58  % DateTime : Sun Sep 27 22:51:21 UTC 2026
% 0.10/0.58  % CPUTime  : 
% 0.10/0.58  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.61  Running first-order model finding
% 0.10/0.61  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
% 6.99/1.93  % (3853804)Will run a generic schedule for satisfiability detection.
% 6.99/1.93  % (3853813)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3032538966:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.99/1.93  % (3853810)% WARNING: option uhcvi not known.
% 6.99/1.93  % (3853809)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1745893758_2999 on theBenchmark for (2999ds/0Mi)
% 6.99/1.93  % (3853810)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=188650622:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.99/1.93  % (3853814)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1399016501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.99/1.93  % (3853811)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1927742697:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.99/1.93  % (3853812)dis+10_1_sil=32000:sp=arity:random_seed=1565622456:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.99/1.93  % (3853815)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=831250291:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.99/1.93  % TRYING [1]
% 6.99/1.93  % TRYING [2]
% 6.99/1.93  % TRYING [3]
% 6.99/1.93  % TRYING [4]
% 6.99/1.93  % (3853813)Instruction limit reached! 
% 6.99/1.93  % (3853813)------------------------------
% 6.99/1.93  % (3853813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853813)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853813)Termination reason: Instruction limit
% 6.99/1.93  % (3853813)Termination phase: Saturation
% 6.99/1.93  % (3853813)Time elapsed: 0.037 s
% 6.99/1.93  % (3853813)Peak memory usage: 12 MB
% 6.99/1.93  % (3853813)Instructions burned: 118 (million)
% 6.99/1.93  % (3853823)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1316784540:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.99/1.93  % TRYING [1]
% 6.99/1.93  % TRYING [2]
% 6.99/1.93  % TRYING [3]
% 6.99/1.93  % TRYING [4]
% 6.99/1.93  % (3853812)Instruction limit reached! 
% 6.99/1.93  % (3853812)------------------------------
% 6.99/1.93  % (3853812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % TRYING [5]
% 6.99/1.93  % (3853812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853812)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853812)Termination reason: Instruction limit
% 6.99/1.93  % (3853812)Termination phase: Saturation
% 6.99/1.93  % (3853812)Time elapsed: 0.058 s
% 6.99/1.93  % (3853812)Peak memory usage: 12 MB
% 6.99/1.93  % (3853812)Instructions burned: 104 (million)
% 6.99/1.93  % TRYING [5]
% 6.99/1.93  % (3853814)Instruction limit reached! 
% 6.99/1.93  % (3853814)------------------------------
% 6.99/1.93  % (3853814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853814)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853814)Termination reason: Instruction limit
% 6.99/1.93  % (3853814)Termination phase: Saturation
% 6.99/1.93  % (3853814)Time elapsed: 0.077 s
% 6.99/1.93  % (3853814)Peak memory usage: 12 MB
% 6.99/1.93  % (3853814)Instructions burned: 132 (million)
% 6.99/1.93  % (3853825)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=884473756:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.99/1.93  % (3853815)Instruction limit reached! 
% 6.99/1.93  % (3853815)------------------------------
% 6.99/1.93  % (3853815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853815)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853815)Termination reason: Instruction limit
% 6.99/1.93  % (3853815)Termination phase: Saturation
% 6.99/1.93  % (3853815)Time elapsed: 0.093 s
% 6.99/1.93  % (3853815)Peak memory usage: 12 MB
% 6.99/1.93  % (3853815)Instructions burned: 159 (million)
% 6.99/1.93  % (3853826)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=2912486722:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.99/1.93  % (3853828)ott-21_1_sil=16000:fs=off:random_seed=2072044605:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.99/1.93  % (3853825)Instruction limit reached! 
% 6.99/1.93  % (3853825)------------------------------
% 6.99/1.93  % (3853825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853825)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853825)Termination reason: Instruction limit
% 6.99/1.93  % (3853825)Termination phase: Saturation
% 6.99/1.93  % (3853825)Time elapsed: 0.114 s
% 6.99/1.93  % (3853825)Peak memory usage: 12 MB
% 6.99/1.93  % (3853825)Instructions burned: 132 (million)
% 6.99/1.93  % TRYING [6]
% 6.99/1.93  % (3853839)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3553212967:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.99/1.93  % (3853828)Instruction limit reached! 
% 6.99/1.93  % (3853828)------------------------------
% 6.99/1.93  % (3853828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853828)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853828)Termination reason: Instruction limit
% 6.99/1.93  % (3853828)Termination phase: Saturation
% 6.99/1.93  % (3853828)Time elapsed: 0.135 s
% 6.99/1.93  % (3853828)Peak memory usage: 12 MB
% 6.99/1.93  % (3853828)Instructions burned: 181 (million)
% 6.99/1.93  % TRYING [6]
% 6.99/1.93  % (3853841)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1233892550:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.99/1.93  % TRYING [1]
% 6.99/1.93  % TRYING [2]
% 6.99/1.93  % TRYING [3]
% 6.99/1.93  % (3853823)Instruction limit reached! 
% 6.99/1.93  % (3853823)------------------------------
% 6.99/1.93  % (3853823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853823)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853823)Termination reason: Instruction limit
% 6.99/1.93  % (3853823)Termination phase: Finite model building constraint generation
% 6.99/1.93  % (3853823)Time elapsed: 0.252 s
% 6.99/1.93  % (3853823)Peak memory usage: 24 MB
% 6.99/1.93  % (3853823)Instructions burned: 714 (million)
% 6.99/1.93  % TRYING [4]
% 6.99/1.93  % (3853845)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=344327633:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.99/1.93  % TRYING [5]
% 6.99/1.93  % (3853839)Instruction limit reached! 
% 6.99/1.93  % (3853839)------------------------------
% 6.99/1.93  % (3853839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853839)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853839)Termination reason: Instruction limit
% 6.99/1.93  % (3853839)Termination phase: Saturation
% 6.99/1.93  % (3853839)Time elapsed: 0.427 s
% 6.99/1.93  % (3853839)Peak memory usage: 15 MB
% 6.99/1.93  % (3853839)Instructions burned: 478 (million)
% 6.99/1.93  % TRYING [6]
% 6.99/1.93  % (3853826)Instruction limit reached! 
% 6.99/1.93  % (3853826)------------------------------
% 6.99/1.93  % (3853826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853826)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853826)Termination reason: Instruction limit
% 6.99/1.93  % (3853826)Termination phase: Saturation
% 6.99/1.93  % (3853826)Time elapsed: 0.573 s
% 6.99/1.93  % (3853826)Peak memory usage: 16 MB
% 6.99/1.93  % (3853826)Instructions burned: 684 (million)
% 6.99/1.93  % (3853856)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3454300280:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 6.99/1.93  % (3853857)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=1493407440:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 6.99/1.93  % (3853845)Instruction limit reached! 
% 6.99/1.93  % (3853845)------------------------------
% 6.99/1.93  % (3853845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853845)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853845)Termination reason: Instruction limit
% 6.99/1.93  % (3853845)Termination phase: Saturation
% 6.99/1.93  % (3853845)Time elapsed: 0.426 s
% 6.99/1.93  % (3853845)Peak memory usage: 20 MB
% 6.99/1.93  % (3853845)Instructions burned: 1182 (million)
% 6.99/1.93  % (3853861)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3862622018:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 6.99/1.93  % (3853841)Instruction limit reached! 
% 6.99/1.93  % (3853841)------------------------------
% 6.99/1.93  % (3853841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853841)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853841)Termination reason: Instruction limit
% 6.99/1.93  % (3853841)Termination phase: Finite model building SAT solving
% 6.99/1.93  % (3853841)Time elapsed: 0.576 s
% 6.99/1.93  % (3853841)Peak memory usage: 22 MB
% 6.99/1.93  % (3853841)Instructions burned: 868 (million)
% 6.99/1.93  % TRYING [14]
% 6.99/1.93  % (3853866)fmb+10_1_sil=64000:random_seed=1217130363:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.99/1.93  % TRYING [1]
% 6.99/1.93  % TRYING [2]
% 6.99/1.93  % TRYING [3]
% 6.99/1.93  % TRYING [4]
% 6.99/1.93  % TRYING [5]
% 6.99/1.93  % TRYING [6]
% 6.99/1.93  % (3853857) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3853804-3853857"...
% 6.99/1.93  % (3853857)...printing done.
% 6.99/1.93  % (3853857)Refutation found. Thanks to Tanya!
% 6.99/1.93  % SZS status Unsatisfiable for theBenchmark
% 6.99/1.93  % SZS output start Proof for theBenchmark
% See solution above
% 6.99/1.93  % (3853857)------------------------------
% 6.99/1.93  % (3853857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.93  % (3853857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.93  % (3853857)CaDiCaL version: 2.1.3
% 6.99/1.93  % (3853857)Termination reason: Refutation
% 6.99/1.93  % (3853857)Time elapsed: 0.547 s
% 6.99/1.93  % (3853857)Peak memory usage: 16 MB
% 6.99/1.93  % (3853857)Instructions burned: 561 (million)
% 6.99/1.93  % (3853804)Success in time 1.31 s
% 6.99/1.93  % Vampire exiting
%------------------------------------------------------------------------------