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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : REL018-1 : 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 : 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 : Fri Sep 25 02:36:50 PM UTC 2026

% Result   : Unsatisfiable 8.36s 1.77s
% Output   : CNFRefutation 8.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  111 ( 111 unt;   0 def)
%            Number of atoms       :  111 ( 110 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   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    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  141 (   0 sgn 141   !;   0   ?; 109   :)

% 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(f7,axiom,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

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

fof(f9,axiom,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

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,
    composition(sk1,top) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

fof(f18,plain,
    sk1 = composition(sk1,top),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    composition(complement(sk1),top) != complement(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

fof(f20,plain,
    complement(sk1) != composition(complement(sk1),top),
    inference(reorient_equations,[],[f19]) ).

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

tcf(c_64,plain,
    ! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_68,plain,
    ! [X0: $i] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f8]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_70,plain,
    ! [X0: $i] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_74,plain,
    ! [X0: $i] : join(X0,complement(X0)) = top,
    inference(cnf_transformation,[],[f15]) ).

tcf(c_75,plain,
    ! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
    inference(cnf_transformation,[],[f21]) ).

tcf(c_76,negated_conjecture,
    composition(sk1,top) = sk1,
    inference(cnf_transformation,[],[f18]) ).

tcf(c_77,negated_conjecture,
    composition(complement(sk1),top) != complement(sk1),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_65,c_64]) ).

tcf(c_99,plain,
    complement(top) = zero,
    inference(superposition,[status(thm)],[c_74,c_75]) ).

tcf(c_103,plain,
    ! [X0: $i] : join(join(complement(X0),complement(complement(X0))),zero) = top,
    inference(superposition,[status(thm)],[c_75,c_74]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_70,c_71]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_70,c_71]) ).

tcf(c_111,plain,
    ! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_70,c_72]) ).

tcf(c_113,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
    inference(superposition,[status(thm)],[c_71,c_65]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_74,c_65]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_68,c_67]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,top),
    inference(superposition,[status(thm)],[c_74,c_84]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_73,c_65,c_64]) ).

tcf(c_141,plain,
    ! [X0: $i,X1: $i] : join(zero,composition(converse(X0),complement(composition(X0,join(complement(X1),complement(complement(X1))))))) = zero,
    inference(superposition,[status(thm)],[c_75,c_140]) ).

tcf(c_142,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_70,c_140]) ).

tcf(c_150,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_66,c_65,c_64]) ).

tcf(c_151,plain,
    ! [X0: $i] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
    inference(superposition,[status(thm)],[c_75,c_150]) ).

tcf(c_160,plain,
    ! [X0: $i] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
    inference(superposition,[status(thm)],[c_75,c_150]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(complement(X1),complement(complement(X1))))),complement(join(complement(X0),zero))) = X0,
    inference(superposition,[status(thm)],[c_75,c_150]) ).

tcf(c_173,plain,
    ! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_160,c_65,c_64]) ).

tcf(c_174,plain,
    ! [X0: $i] : join(zero,join(complement(X0),complement(complement(X0)))) = top,
    inference(theory_normalisation,[status(thm)],[c_103,c_65,c_64]) ).

tcf(c_175,plain,
    join(top,zero) = top,
    inference(demodulation,[status(thm)],[c_174,c_64,c_74]) ).

tcf(c_178,plain,
    ! [X0: $i] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
    inference(demodulation,[status(thm)],[c_141,c_74]) ).

tcf(c_181,plain,
    ! [X0: $i,X1: $i] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(X1),complement(complement(X1)))))) = X0,
    inference(theory_normalisation,[status(thm)],[c_166,c_65,c_64]) ).

tcf(c_182,plain,
    ! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_181,c_64,c_74]) ).

tcf(c_340,plain,
    ! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_74,c_106]) ).

tcf(c_384,plain,
    ! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_68,c_111]) ).

tcf(c_407,plain,
    ! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_74,c_114]) ).

tcf(c_412,plain,
    ! [X0: $i,X1: $i] : join(join(complement(X0),complement(complement(X0))),join(zero,X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_75,c_114]) ).

tcf(c_460,plain,
    ! [X0: $i] : join(top,join(X0,zero)) = join(X0,top),
    inference(superposition,[status(thm)],[c_99,c_124]) ).

tcf(c_480,plain,
    ! [X0: $i] : join(join(complement(X0),complement(X0)),X0) = join(zero,top),
    inference(superposition,[status(thm)],[c_173,c_124]) ).

tcf(c_525,plain,
    join(zero,composition(converse(sk1),complement(sk1))) = zero,
    inference(superposition,[status(thm)],[c_76,c_178]) ).

tcf(c_536,plain,
    join(zero,complement(join(zero,complement(complement(zero))))) = top,
    inference(superposition,[status(thm)],[c_99,c_151]) ).

tcf(c_601,plain,
    ! [X0: $i] : composition(converse(one),X0) = X0,
    inference(demodulation,[status(thm)],[c_384,c_70]) ).

tcf(c_613,plain,
    ! [X0: $i] : join(X0,join(complement(X0),complement(X0))) = join(top,zero),
    inference(theory_normalisation,[status(thm)],[c_480,c_65,c_64]) ).

tcf(c_614,plain,
    ! [X0: $i] : join(top,complement(X0)) = join(top,zero),
    inference(demodulation,[status(thm)],[c_613,c_114]) ).

tcf(c_615,plain,
    ! [X0: $i] : join(top,complement(X0)) = top,
    inference(light_normalisation,[status(thm)],[c_614,c_175]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i] : join(zero,join(X0,join(complement(X1),complement(complement(X1))))) = join(top,X0),
    inference(theory_normalisation,[status(thm)],[c_412,c_65,c_64]) ).

tcf(c_661,plain,
    ! [X0: $i] : join(zero,join(X0,top)) = join(top,X0),
    inference(demodulation,[status(thm)],[c_660,c_74]) ).

tcf(c_662,plain,
    ! [X0: $i] : join(top,join(X0,zero)) = join(top,X0),
    inference(theory_normalisation,[status(thm)],[c_661,c_65,c_64]) ).

tcf(c_740,plain,
    ! [X0: $i] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_182,c_615]) ).

tcf(c_741,plain,
    ! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_740,c_99]) ).

tcf(c_1283,plain,
    ! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_601,c_118]) ).

tcf(c_1285,plain,
    ! [X0: $i] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_601,c_140]) ).

tcf(c_1316,plain,
    ! [X0: $i] : join(top,converse(complement(converse(complement(X0))))) = join(X0,converse(top)),
    inference(superposition,[status(thm)],[c_340,c_114]) ).

tcf(c_1332,plain,
    ! [X0: $i] : join(X0,top) = top,
    inference(superposition,[status(thm)],[c_407,c_615]) ).

tcf(c_1395,plain,
    ! [X0: $i,X1: $i] : join(converse(join(X0,X1)),converse(complement(converse(converse(X1))))) = join(converse(X0),converse(top)),
    inference(superposition,[status(thm)],[c_340,c_113]) ).

tcf(c_1467,plain,
    ! [X0: $i] : join(X0,top) = join(top,X0),
    inference(superposition,[status(thm)],[c_662,c_460]) ).

tcf(c_1468,plain,
    complement(zero) = top,
    inference(demodulation,[status(thm)],[c_536,c_741]) ).

tcf(c_1470,plain,
    ! [X0: $i] : join(top,X0) = top,
    inference(demodulation,[status(thm)],[c_1467,c_1332]) ).

tcf(c_1471,plain,
    ! [X0: $i] : composition(one,X0) = X0,
    inference(demodulation,[status(thm)],[c_1283,c_601]) ).

tcf(c_1472,plain,
    ! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_1285,c_1471]) ).

tcf(c_1485,plain,
    ! [X0: $i] : join(X0,converse(top)) = top,
    inference(demodulation,[status(thm)],[c_1316,c_1470]) ).

tcf(c_1530,plain,
    ! [X0: $i,X1: $i] : join(converse(join(X0,X1)),converse(complement(converse(converse(X1))))) = top,
    inference(demodulation,[status(thm)],[c_1395,c_1485]) ).

tcf(c_1531,plain,
    ! [X0: $i] : converse(join(X0,top)) = top,
    inference(demodulation,[status(thm)],[c_1530,c_65,c_70,c_71,c_74]) ).

tcf(c_1560,plain,
    ! [X0: $i] : join(zero,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_173,c_1472]) ).

tcf(c_1667,plain,
    ! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
    inference(superposition,[status(thm)],[c_1471,c_69]) ).

tcf(c_1724,plain,
    ! [X0: $i,X1: $i] : converse(composition(join(X0,top),X1)) = composition(converse(X1),top),
    inference(superposition,[status(thm)],[c_1531,c_72]) ).

tcf(c_1742,plain,
    ! [X0: $i] : join(zero,complement(X0)) = complement(X0),
    inference(superposition,[status(thm)],[c_1560,c_741]) ).

tcf(c_1811,plain,
    ! [X0: $i] : composition(converse(X0),top) = converse(composition(top,X0)),
    inference(demodulation,[status(thm)],[c_1724,c_1332]) ).

tcf(c_1879,plain,
    ! [X0: $i] : complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_1560,c_1742]) ).

tcf(c_1912,plain,
    ! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
    inference(superposition,[status(thm)],[c_1472,c_150]) ).

tcf(c_1940,plain,
    ! [X0: $i] : join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_1879,c_1742]) ).

tcf(c_2275,plain,
    ! [X0: $i] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_1912,c_65,c_64]) ).

tcf(c_2276,plain,
    ! [X0: $i] : join(X0,complement(top)) = X0,
    inference(demodulation,[status(thm)],[c_2275,c_74,c_1879]) ).

tcf(c_2277,plain,
    ! [X0: $i] : join(X0,zero) = X0,
    inference(light_normalisation,[status(thm)],[c_2276,c_99]) ).

tcf(c_2390,plain,
    composition(converse(sk1),complement(sk1)) = zero,
    inference(demodulation,[status(thm)],[c_525,c_1940]) ).

tcf(c_3711,plain,
    ! [X0: $i] : join(converse(zero),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_1940,c_107]) ).

tcf(c_3747,plain,
    composition(converse(complement(sk1)),sk1) = converse(zero),
    inference(superposition,[status(thm)],[c_2390,c_111]) ).

tcf(c_3988,plain,
    ! [X0: $i] : join(converse(zero),X0) = X0,
    inference(demodulation,[status(thm)],[c_3711,c_70]) ).

tcf(c_4355,plain,
    converse(zero) = zero,
    inference(superposition,[status(thm)],[c_3988,c_2277]) ).

tcf(c_4530,plain,
    join(complement(sk1),composition(complement(sk1),complement(converse(zero)))) = complement(sk1),
    inference(superposition,[status(thm)],[c_3747,c_142]) ).

tcf(c_4928,plain,
    join(complement(sk1),composition(complement(sk1),top)) = complement(sk1),
    inference(light_normalisation,[status(thm)],[c_4530,c_1468,c_4355]) ).

tcf(c_7872,plain,
    ! [X0: $i] : join(X0,composition(top,X0)) = composition(top,X0),
    inference(superposition,[status(thm)],[c_1332,c_1667]) ).

tcf(c_9256,plain,
    ! [X0: $i] : join(X0,converse(composition(top,converse(X0)))) = converse(composition(top,converse(X0))),
    inference(superposition,[status(thm)],[c_7872,c_106]) ).

tcf(c_9341,plain,
    ! [X0: $i] : join(X0,composition(X0,top)) = composition(X0,top),
    inference(demodulation,[status(thm)],[c_9256,c_70,c_1811]) ).

tcf(c_9504,plain,
    composition(complement(sk1),top) = complement(sk1),
    inference(demodulation,[status(thm)],[c_4928,c_9341]) ).

tcf(c_9505,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9504,c_77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL018-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36  % Computer : n020.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Thu Sep 24 07:16:48 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40  Running UEQ theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 8.36/1.77  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.36/1.77  % SZS status Started for theBenchmark.p
% 8.36/1.77  % SZS status Unsatisfiable for theBenchmark.p
% 8.36/1.77  
% 8.36/1.77  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.36/1.77  
% 8.36/1.77  % ------  iProver source info
% 8.36/1.77  
% 8.36/1.77  % git: date: 2026-07-19 20:42:38 +0200
% 8.36/1.77  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.36/1.77  % git: non_committed_changes: false
% 8.36/1.77  
% 8.36/1.77  % ------ Parsing...% successful
% 8.36/1.77  
% 8.36/1.77  
% 8.36/1.77  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 8.36/1.77  % ------ Proving...
% 8.36/1.77  % ------ Problem Properties 
% 8.36/1.77  
% 8.36/1.77  % 
% 8.36/1.77  % clauses                               14
% 8.36/1.77  % conjectures                           2
% 8.36/1.77  % EPR                                   0
% 8.36/1.77  % Horn                                  14
% 8.36/1.77  % unary                                 14
% 8.36/1.77  % binary                                0
% 8.36/1.77  % lits                                  14
% 8.36/1.77  % lits eq                               14
% 8.36/1.77  % fd_pure                               0
% 8.36/1.77  % fd_pseudo                             0
% 8.36/1.77  % fd_cond                               0
% 8.36/1.77  % fd_pseudo_cond                        0
% 8.36/1.77  % AC symbols                            1
% 8.36/1.77  
% 8.36/1.77  % ------ Input Options Time Limit: Unbounded
% 8.36/1.77  
% 8.36/1.77  
% 8.36/1.77  % ------ 
% 8.36/1.77  % Current options:
% 8.36/1.77  % ------ 
% 8.36/1.77  
% 8.36/1.77  
% 8.36/1.77  % 
% 8.36/1.77  
% 8.36/1.77  % ------ Proving...
% 8.36/1.77  % 
% 8.36/1.77  
% 8.36/1.77  % SZS status Unsatisfiable for theBenchmark.p
% 8.36/1.77  
% 8.36/1.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.36/1.77  
% 8.36/1.77  
%------------------------------------------------------------------------------