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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : REL008+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% 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 : Fri Sep 25 02:36:33 PM UTC 2026

% Result   : Theorem 188.63s 29.50s
% Output   : CNFRefutation 188.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  100 (  92 unt;   0 def)
%            Number of atoms       :  108 ( 107 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  14   ~;   6   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  154 (   0 sgn 151   !;   3   ?;  94   :)

% 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(f5,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).

fof(f7,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).

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,X2] :
      ( join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2))
      & join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2))
        & join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2)) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( composition(X0,join(X1,X2)) != join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2)))
      | join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) != join(composition(X0,X1),composition(X0,X2)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f17,plain,
    ( composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2)))
    | join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[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(f22,plain,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f25,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f26,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f28,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f29,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f30,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f31,plain,
    ( composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2)))
    | join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2)) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f30,f21]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f20]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_53,plain,
    ! [X0: $i] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f23]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_55,plain,
    ! [X0: $i] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f25]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_59,plain,
    ! [X0: $i] : join(X0,complement(X0)) = top,
    inference(cnf_transformation,[],[f29]) ).

tcf(c_60,plain,
    ! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
    inference(cnf_transformation,[],[f32]) ).

tcf(c_61,negated_conjecture,
    ( ( join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) != composition(sK0,join(sK1,sK2)) )
    | ( join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2)) ) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).

tcf(c_76,negated_conjecture,
    ( ( join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2)))) != composition(sK0,join(sK1,sK2)) )
    | ( join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2)))) != join(composition(sK0,sK1),composition(sK0,sK2)) ) ),
    inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).

tcf(c_107,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm)],[c_60,c_59]) ).

tcf(c_964,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

tcf(c_965,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm)],[c_107,c_59]) ).

tcf(c_993,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

tcf(c_995,plain,
    ! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_965,c_50]) ).

tcf(c_998,plain,
    ! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_53,c_52]) ).

tcf(c_1001,plain,
    ! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

tcf(c_1014,plain,
    ! [X0: $i] : join(top,join(X0,zero)) = join(top,X0),
    inference(superposition,[status(thm)],[c_49,c_995]) ).

tcf(c_1140,plain,
    ! [X0: $i] : join(top,join(X0,zero)) = join(X0,top),
    inference(superposition,[status(thm)],[c_965,c_964]) ).

tcf(c_1388,plain,
    ! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_59,c_993]) ).

tcf(c_1390,plain,
    ! [X0: $i,X1: $i] : join(top,composition(converse(X0),complement(composition(X0,X1)))) = join(X1,complement(X1)),
    inference(superposition,[status(thm)],[c_75,c_993]) ).

tcf(c_1416,plain,
    ! [X0: $i,X1: $i] : join(top,composition(converse(X0),complement(composition(X0,X1)))) = top,
    inference(demodulation,[status(thm)],[c_1390,c_59]) ).

tcf(c_2836,plain,
    ! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_53,c_1001]) ).

tcf(c_2865,plain,
    ! [X0: $i] : composition(converse(one),X0) = X0,
    inference(demodulation,[status(thm)],[c_2836,c_55]) ).

tcf(c_2959,plain,
    converse(one) = one,
    inference(superposition,[status(thm)],[c_2865,c_53]) ).

tcf(c_2967,plain,
    ! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_2865,c_998]) ).

tcf(c_2971,plain,
    ! [X0: $i] : composition(one,X0) = X0,
    inference(demodulation,[status(thm)],[c_2967,c_2865]) ).

tcf(c_3100,plain,
    ! [X0: $i] : join(top,composition(converse(one),complement(X0))) = top,
    inference(superposition,[status(thm)],[c_2971,c_1416]) ).

tcf(c_3107,plain,
    ! [X0: $i] : join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_3100,c_2959,c_2971]) ).

tcf(c_3109,plain,
    ! [X0: $i] : join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_1388,c_3107]) ).

tcf(c_3112,plain,
    ! [X0: $i] : join(top,join(X0,zero)) = top,
    inference(demodulation,[status(thm)],[c_1140,c_3109]) ).

tcf(c_3113,plain,
    ! [X0: $i] : join(top,X0) = top,
    inference(demodulation,[status(thm)],[c_1014,c_3112]) ).

tcf(c_3116,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
    inference(demodulation,[status(thm)],[c_993,c_3113]) ).

tcf(c_4761,plain,
    ! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

tcf(c_11683,plain,
    ! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
    inference(superposition,[status(thm)],[c_49,c_4761]) ).

tcf(c_69050,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
    inference(superposition,[status(thm)],[c_49,c_3116]) ).

tcf(c_69055,plain,
    ! [X0: $i] : join(X0,top) = top,
    inference(superposition,[status(thm)],[c_3116,c_3116]) ).

tcf(c_69105,plain,
    ! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

tcf(c_69106,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(converse(X1),X2),converse(X0)),
    inference(superposition,[status(thm)],[c_57,c_54]) ).

tcf(c_69116,plain,
    ! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
    inference(superposition,[status(thm)],[c_69055,c_74]) ).

tcf(c_69118,plain,
    ! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_69116,c_49,c_107]) ).

tcf(c_69145,plain,
    join(zero,complement(top)) = zero,
    inference(superposition,[status(thm)],[c_59,c_69118]) ).

tcf(c_69149,plain,
    join(zero,zero) = zero,
    inference(demodulation,[status(thm)],[c_69145,c_107]) ).

tcf(c_69151,plain,
    ! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_69149,c_50]) ).

tcf(c_69242,plain,
    ! [X0: $i] : join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_69118,c_69151]) ).

tcf(c_69254,plain,
    ! [X0: $i] : join(X0,zero) = X0,
    inference(superposition,[status(thm)],[c_69242,c_49]) ).

tcf(c_69259,plain,
    ! [X0: $i] : join(X0,complement(zero)) = top,
    inference(superposition,[status(thm)],[c_69242,c_69050]) ).

tcf(c_69277,plain,
    ! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(zero)))) = X0,
    inference(superposition,[status(thm)],[c_69254,c_74]) ).

tcf(c_69279,plain,
    ! [X0: $i] : complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_69277,c_107,c_69254,c_69259]) ).

tcf(c_69284,plain,
    ! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
    inference(superposition,[status(thm)],[c_69279,c_74]) ).

tcf(c_69369,plain,
    ! [X0: $i] : join(complement(join(X0,X0)),complement(top)) = complement(X0),
    inference(superposition,[status(thm)],[c_59,c_69284]) ).

tcf(c_69384,plain,
    ! [X0: $i] : join(complement(top),complement(join(X0,X0))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_69369,c_50,c_49]) ).

tcf(c_69385,plain,
    ! [X0: $i] : complement(join(X0,X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_69384,c_107,c_69242]) ).

tcf(c_69399,plain,
    ! [X0: $i] : join(X0,X0) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_69385,c_69279]) ).

tcf(c_69407,plain,
    ! [X0: $i] : join(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_69399,c_69279]) ).

tcf(c_69528,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),X2)) = converse(composition(join(converse(X2),X1),X0)),
    inference(superposition,[status(thm)],[c_11683,c_57]) ).

tcf(c_73729,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
    inference(superposition,[status(thm)],[c_69105,c_56]) ).

tcf(c_74360,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)) = converse(composition(join(converse(X1),converse(X2)),converse(X0))),
    inference(superposition,[status(thm)],[c_69106,c_73729]) ).

tcf(c_74434,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X2,X1)),
    inference(demodulation,[status(thm)],[c_74360,c_55,c_69528]) ).

tcf(c_74466,plain,
    ( ( join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2)))) != composition(sK0,join(sK2,sK1)) )
    | ( join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2)))) != composition(sK0,join(sK1,sK2)) ) ),
    inference(demodulation,[status(thm)],[c_76,c_74434]) ).

tcf(c_74467,plain,
    join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2)))) != composition(sK0,join(sK1,sK2)),
    inference(theory_normalisation,[status(thm)],[c_74466,c_50,c_49]) ).

tcf(c_74468,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_74467,c_49,c_50,c_69407,c_74434]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL008+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38  % Computer : n014.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Thu Sep 24 07:09:20 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43  
% 0.09/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43  
% 0.09/0.43  % Detected problem language: tptp
% 0.09/0.44  % Proving...
% 188.63/29.50  % SZS status Started for theBenchmark.p
% 188.63/29.50  % SZS status Theorem for theBenchmark.p
% 188.63/29.50  
% 188.63/29.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 188.63/29.50  
% 188.63/29.50  % ------  iProver source info
% 188.63/29.50  
% 188.63/29.50  % git: date: 2026-07-19 20:42:38 +0200
% 188.63/29.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 188.63/29.50  % git: non_committed_changes: false
% 188.63/29.50  
% 188.63/29.50  % ------ Parsing...
% 188.63/29.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 188.63/29.50  
% 188.63/29.50  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 188.63/29.50  
% 188.63/29.50  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 188.63/29.50  
% 188.63/29.50  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 188.63/29.50  % ------ Proving...
% 188.63/29.50  % ------ Problem Properties 
% 188.63/29.50  
% 188.63/29.50  % 
% 188.63/29.50  % clauses                               13
% 188.63/29.50  % conjectures                           1
% 188.63/29.50  % EPR                                   0
% 188.63/29.50  % Horn                                  13
% 188.63/29.50  % unary                                 12
% 188.63/29.50  % binary                                1
% 188.63/29.50  % lits                                  14
% 188.63/29.50  % lits eq                               14
% 188.63/29.50  % fd_pure                               0
% 188.63/29.50  % fd_pseudo                             0
% 188.63/29.50  % fd_cond                               0
% 188.63/29.50  % fd_pseudo_cond                        0
% 188.63/29.50  % AC symbols                            1
% 188.63/29.50  
% 188.63/29.50  % ------ Input Options Time Limit: Unbounded
% 188.63/29.50  
% 188.63/29.50  
% 188.63/29.50  % ------ 
% 188.63/29.50  % Current options:
% 188.63/29.50  % ------ 
% 188.63/29.50  
% 188.63/29.50  
% 188.63/29.50  % 
% 188.63/29.50  
% 188.63/29.50  % ------ Proving...
% 188.63/29.50  % 
% 188.63/29.50  
% 188.63/29.50  % SZS status Theorem for theBenchmark.p
% 188.63/29.50  
% 188.63/29.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 188.63/29.50  
% 188.63/29.50  
%------------------------------------------------------------------------------