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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR110+2 : TPTP v9.2.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:15:24 PM UTC 2026

% Result   : Unsatisfiable 20.41s 21.49s
% Output   : CNFRefutation 20.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  17 unt;   0 def)
%            Number of atoms       :  207 (  33 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  247 (  91   ~;  99   |;  45   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-3 aty)
%            Number of variables   :  105 (  31 sgn  39   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_10668,axiom,
    ~ s__overlapsTemporally(s__CommonEra,s__BeforeCommonEra),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_10668) ).

fof(kb_SUMO_4682,axiom,
    ! [X171,X172,X173] :
      ( X172 = s__UnionFn(X173,X171)
    <=> ! [X174,X175,X176] :
          ( ( s__instance(X173,s__SetOrClass)
            & s__instance(X172,s__SetOrClass)
            & s__instance(X171,s__SetOrClass) )
         => ( ( s__instance(X174,X173)
              & s__instance(X175,X171)
              & s__instance(X176,X172) )
           => ( s__instance(X174,X172)
              & s__instance(X175,X172)
              & ( s__instance(X176,X173)
                | s__instance(X176,X171) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4682) ).

fof(kb_SUMO_1099,axiom,
    ! [X48] :
      ( s__instance(X48,s__TimeInterval)
     => s__overlapsTemporally(X48,X48) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_1099) ).

fof(kb_SUMO_4719,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NullSet)
       => ~ ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4719) ).

fof(kb_SUMO_10665,axiom,
    s__instance(s__BeforeCommonEra,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_10665) ).

fof(kb_SUMO_374,axiom,
    ! [X9,X10] :
      ( s__disjoint(X9,X10)
    <=> ! [X48] :
          ( ( s__instance(X10,s__SetOrClass)
            & s__instance(X9,s__SetOrClass) )
         => ~ ( s__instance(X48,X9)
              & s__instance(X48,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_374) ).

fof(kb_SUMO_4675,axiom,
    ! [X169,X170] :
      ( ! [X49] :
          ( ( s__instance(X170,s__Set)
            & s__instance(X169,s__Set) )
         => ( s__element(X49,X170)
          <=> s__element(X49,X169) ) )
     => X170 = X169 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4675) ).

fof(kb_SUMO_10189,axiom,
    ! [X749] :
      ( s__instance(X749,s__ConjugatedSubstance)
    <=> ? [X173,X171,X121] :
          ( s__instance(X121,s__Process)
          & s__instance(X171,s__Object)
          & s__instance(X173,s__Object)
          & s__instance(X173,s__CompoundSubstance)
          & s__instance(X171,s__CompoundSubstance)
          & X173 != X171
          & s__instance(X121,s__ChemicalSynthesis)
          & s__resource(X121,X173)
          & s__resource(X121,X171)
          & s__result(X121,X749) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_10189) ).

fof(kb_SUMO_1,axiom,
    s__instance(s__instance__m,s__BinaryPredicate),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_1) ).

fof(c_0_9,plain,
    ~ s__overlapsTemporally(s__CommonEra,s__BeforeCommonEra),
    inference(fof_simplification,[status(thm)],[kb_SUMO_10668]) ).

fof(c_0_10,plain,
    ! [X22622,X22623,X22624,X22625,X22626,X22627,X22628,X22629,X22630] :
      ( ( s__instance(X22625,X22623)
        | ~ s__instance(X22625,X22624)
        | ~ s__instance(X22626,X22622)
        | ~ s__instance(X22627,X22623)
        | ~ s__instance(X22624,s__SetOrClass)
        | ~ s__instance(X22623,s__SetOrClass)
        | ~ s__instance(X22622,s__SetOrClass)
        | X22623 != s__UnionFn(X22624,X22622) )
      & ( s__instance(X22626,X22623)
        | ~ s__instance(X22625,X22624)
        | ~ s__instance(X22626,X22622)
        | ~ s__instance(X22627,X22623)
        | ~ s__instance(X22624,s__SetOrClass)
        | ~ s__instance(X22623,s__SetOrClass)
        | ~ s__instance(X22622,s__SetOrClass)
        | X22623 != s__UnionFn(X22624,X22622) )
      & ( s__instance(X22627,X22624)
        | s__instance(X22627,X22622)
        | ~ s__instance(X22625,X22624)
        | ~ s__instance(X22626,X22622)
        | ~ s__instance(X22627,X22623)
        | ~ s__instance(X22624,s__SetOrClass)
        | ~ s__instance(X22623,s__SetOrClass)
        | ~ s__instance(X22622,s__SetOrClass)
        | X22623 != s__UnionFn(X22624,X22622) )
      & ( s__instance(X22630,s__SetOrClass)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( s__instance(X22629,s__SetOrClass)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( s__instance(X22628,s__SetOrClass)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( s__instance(esk188_3(X22628,X22629,X22630),X22630)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( s__instance(esk189_3(X22628,X22629,X22630),X22628)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( s__instance(esk190_3(X22628,X22629,X22630),X22629)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( ~ s__instance(esk190_3(X22628,X22629,X22630),X22630)
        | ~ s__instance(esk188_3(X22628,X22629,X22630),X22629)
        | ~ s__instance(esk189_3(X22628,X22629,X22630),X22629)
        | X22629 = s__UnionFn(X22630,X22628) )
      & ( ~ s__instance(esk190_3(X22628,X22629,X22630),X22628)
        | ~ s__instance(esk188_3(X22628,X22629,X22630),X22629)
        | ~ s__instance(esk189_3(X22628,X22629,X22630),X22629)
        | X22629 = s__UnionFn(X22630,X22628) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4682])])])])])]) ).

cnf(c_0_11,plain,
    ~ s__overlapsTemporally(s__CommonEra,s__BeforeCommonEra),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__overlapsTemporally(s__UnionFn(X2,X1),s__BeforeCommonEra) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_14,plain,
    ! [X16571] :
      ( ~ s__instance(X16571,s__TimeInterval)
      | s__overlapsTemporally(X16571,X16571) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_1099])]) ).

fof(c_0_15,plain,
    ! [X22634,X22635] :
      ( ~ s__instance(X22634,s__SetOrClass)
      | ~ s__instance(X22634,s__NullSet)
      | ~ s__instance(X22635,X22634) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4719])])]) ).

cnf(c_0_16,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__overlapsTemporally(X2,s__BeforeCommonEra) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,plain,
    ( s__overlapsTemporally(X1,X1)
    | ~ s__instance(X1,s__TimeInterval) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    s__instance(s__BeforeCommonEra,s__TimeInterval),
    inference(split_conjunct,[status(thm)],[kb_SUMO_10665]) ).

cnf(c_0_19,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    s__instance(X1,s__SetOrClass),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

fof(c_0_21,plain,
    ! [X15451,X15452,X15453,X15454,X15455] :
      ( ( ~ s__disjoint(X15451,X15452)
        | ~ s__instance(X15452,s__SetOrClass)
        | ~ s__instance(X15451,s__SetOrClass)
        | ~ s__instance(X15453,X15451)
        | ~ s__instance(X15453,X15452) )
      & ( s__instance(X15455,s__SetOrClass)
        | s__disjoint(X15454,X15455) )
      & ( s__instance(X15454,s__SetOrClass)
        | s__disjoint(X15454,X15455) )
      & ( s__instance(esk1_2(X15454,X15455),X15454)
        | s__disjoint(X15454,X15455) )
      & ( s__instance(esk1_2(X15454,X15455),X15455)
        | s__disjoint(X15454,X15455) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_374])])])])])]) ).

cnf(c_0_22,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_23,plain,
    ( s__instance(esk1_2(X1,X2),X1)
    | s__disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(X2,esk1_2(s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    ( s__instance(esk188_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,plain,
    ( X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3)
    | s__disjoint(s__NullSet,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    ( X1 = X2
    | s__disjoint(s__NullSet,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_26]) ).

fof(c_0_28,plain,
    ! [X22619,X22620] :
      ( ( s__instance(X22620,s__Set)
        | X22620 = X22619 )
      & ( s__instance(X22619,s__Set)
        | X22620 = X22619 )
      & ( ~ s__element(esk187_2(X22619,X22620),X22620)
        | ~ s__element(esk187_2(X22619,X22620),X22619)
        | X22620 = X22619 )
      & ( s__element(esk187_2(X22619,X22620),X22620)
        | s__element(esk187_2(X22619,X22620),X22619)
        | X22620 = X22619 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4675])])])])]) ).

cnf(c_0_29,plain,
    ( ~ s__disjoint(X1,X2)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X3,X1)
    | ~ s__instance(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__overlapsTemporally(X2,s__BeforeCommonEra) ),
    inference(spm,[status(thm)],[c_0_11,c_0_27]) ).

cnf(c_0_31,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( ~ s__disjoint(X1,X2)
    | ~ s__instance(X3,X2)
    | ~ s__instance(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_20]),c_0_20])]) ).

cnf(c_0_33,plain,
    s__disjoint(s__NullSet,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_18])]) ).

cnf(c_0_34,plain,
    ( s__instance(X1,s__Set)
    | ~ s__overlapsTemporally(X1,s__BeforeCommonEra) ),
    inference(spm,[status(thm)],[c_0_11,c_0_31]) ).

cnf(c_0_35,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    ( s__instance(esk190_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,plain,
    s__instance(s__BeforeCommonEra,s__Set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_17]),c_0_18])]) ).

cnf(c_0_38,plain,
    ( s__NullSet = s__UnionFn(X1,X2)
    | ~ s__instance(esk190_3(X2,s__NullSet,X1),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    s__instance(X1,s__Set),
    inference(spm,[status(thm)],[c_0_37,c_0_31]) ).

cnf(c_0_40,plain,
    ( s__instance(esk189_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,plain,
    s__NullSet = s__UnionFn(X1,X2),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_42,plain,
    ! [X25085,X25089,X25090,X25091,X25092] :
      ( ( s__instance(esk748_1(X25085),s__Process)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__instance(esk747_1(X25085),s__Object)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__instance(esk746_1(X25085),s__Object)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__instance(esk746_1(X25085),s__CompoundSubstance)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__instance(esk747_1(X25085),s__CompoundSubstance)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( esk746_1(X25085) != esk747_1(X25085)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__instance(esk748_1(X25085),s__ChemicalSynthesis)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__resource(esk748_1(X25085),esk746_1(X25085))
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__resource(esk748_1(X25085),esk747_1(X25085))
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( s__result(esk748_1(X25085),X25085)
        | ~ s__instance(X25085,s__ConjugatedSubstance) )
      & ( ~ s__instance(X25092,s__Process)
        | ~ s__instance(X25091,s__Object)
        | ~ s__instance(X25090,s__Object)
        | ~ s__instance(X25090,s__CompoundSubstance)
        | ~ s__instance(X25091,s__CompoundSubstance)
        | X25090 = X25091
        | ~ s__instance(X25092,s__ChemicalSynthesis)
        | ~ s__resource(X25092,X25090)
        | ~ s__resource(X25092,X25091)
        | ~ s__result(X25092,X25089)
        | s__instance(X25089,s__ConjugatedSubstance) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_10189])])])])])]) ).

cnf(c_0_43,plain,
    ( X1 = s__NullSet
    | ~ s__instance(esk189_3(s__NullSet,X1,X2),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_40]),c_0_41]) ).

cnf(c_0_44,plain,
    ( esk746_1(X1) != esk747_1(X1)
    | ~ s__instance(X1,s__ConjugatedSubstance) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_45,plain,
    X1 = s__NullSet,
    inference(spm,[status(thm)],[c_0_43,c_0_39]) ).

cnf(c_0_46,plain,
    ~ s__instance(X1,s__ConjugatedSubstance),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_45]) ).

cnf(c_0_47,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_45,c_0_45]) ).

cnf(c_0_48,plain,
    s__instance(s__instance__m,s__BinaryPredicate),
    inference(split_conjunct,[status(thm)],[kb_SUMO_1]) ).

cnf(c_0_49,plain,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,plain,
    $false,
    inference(sr,[status(thm)],[c_0_48,c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR110+2 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34  % Computer : n031.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon May  4 17:03:53 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 20.41/21.49  % Version  : CSE_E---1.7
% 20.41/21.49  % Problem  : theBenchmark.p
% 20.41/21.49  % SZS status Unsatisfiable for theBenchmark.p
% 20.41/21.49  % SZS output start CNFRefutation
% See solution above
% 20.51/21.56  % Total time : 18.474s
%------------------------------------------------------------------------------