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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR095+4 : 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 : n006.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 04:15:14 PM UTC 2026

% Result   : Theorem 7.54s 7.93s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (  19 unt;   0 def)
%            Number of atoms       :  153 (  25 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  175 (  66   ~;  73   |;  26   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   83 (  28 sgn  33   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
    s__instance(s__Organism25_1,s__Plant),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(kb_SUMO_3489,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+0.ax',kb_SUMO_3489) ).

fof(local_2,axiom,
    ~ s__instance(s__Organism25_1,s__Microorganism),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(kb_SUMO_3496,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+0.ax',kb_SUMO_3496) ).

fof(kb_SUMO_502,axiom,
    ! [X26] : s__instance(X26,s__Entity),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_502) ).

fof(kb_SUMO_3533,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NullSet)
       => ~ ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).

fof(kb_SUMO_276,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+0.ax',kb_SUMO_276) ).

fof(local_1,axiom,
    s__instance(s__Organism25_1,s__Organism),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_8,negated_conjecture,
    ~ s__instance(s__Organism25_1,s__Plant),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_SUMO])]) ).

fof(c_0_9,plain,
    ! [X13917,X13918] :
      ( ( s__instance(X13918,s__Set)
        | X13918 = X13917 )
      & ( s__instance(X13917,s__Set)
        | X13918 = X13917 )
      & ( ~ s__element(esk157_2(X13917,X13918),X13918)
        | ~ s__element(esk157_2(X13917,X13918),X13917)
        | X13918 = X13917 )
      & ( s__element(esk157_2(X13917,X13918),X13918)
        | s__element(esk157_2(X13917,X13918),X13917)
        | X13918 = X13917 ) ),
    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_3489])])])])]) ).

fof(c_0_10,plain,
    ~ s__instance(s__Organism25_1,s__Microorganism),
    inference(fof_simplification,[status(thm)],[local_2]) ).

fof(c_0_11,plain,
    ! [X13920,X13921,X13922,X13923,X13924,X13925,X13926,X13927,X13928] :
      ( ( s__instance(X13923,X13921)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13924,X13921)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13925,X13922)
        | s__instance(X13925,X13920)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13928,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(X13927,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(X13926,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk158_3(X13926,X13927,X13928),X13928)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk159_3(X13926,X13927,X13928),X13926)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk160_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13928)
        | ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
        | ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13926)
        | ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
        | ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) ) ),
    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_3496])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ~ s__instance(s__Organism25_1,s__Plant),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ! [X9821] : s__instance(X9821,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_502]) ).

cnf(c_0_15,plain,
    ~ s__instance(s__Organism25_1,s__Microorganism),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( s__instance(s__Plant,s__Set)
    | ~ s__instance(s__Organism25_1,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(s__Organism25_1,s__UnionFn(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    s__instance(s__Plant,s__Set),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_21,plain,
    ! [X13932,X13933] :
      ( ~ s__instance(X13932,s__SetOrClass)
      | ~ s__instance(X13932,s__NullSet)
      | ~ s__instance(X13933,X13932) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).

cnf(c_0_22,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(s__Organism25_1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    s__instance(X1,s__Set),
    inference(spm,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_24,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_26,plain,
    ! [X9010,X9011,X9012,X9013,X9014] :
      ( ( ~ s__disjoint(X9010,X9011)
        | ~ s__instance(X9011,s__SetOrClass)
        | ~ s__instance(X9010,s__SetOrClass)
        | ~ s__instance(X9012,X9010)
        | ~ s__instance(X9012,X9011) )
      & ( s__instance(X9014,s__SetOrClass)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(X9013,s__SetOrClass)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(esk1_2(X9013,X9014),X9013)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(esk1_2(X9013,X9014),X9014)
        | s__disjoint(X9013,X9014) ) ),
    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_276])])])])])]) ).

cnf(c_0_27,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_28,plain,
    ( s__instance(esk1_2(X1,X2),X1)
    | s__disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_29,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(X2,esk1_2(s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    ( s__instance(esk158_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,plain,
    ( X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3)
    | s__disjoint(s__NullSet,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | s__disjoint(s__NullSet,X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_31]) ).

cnf(c_0_33,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_26]) ).

cnf(c_0_34,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(s__Organism25_1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_32]) ).

cnf(c_0_35,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_33,c_0_25]),c_0_25])]) ).

cnf(c_0_36,negated_conjecture,
    s__disjoint(s__NullSet,X1),
    inference(spm,[status(thm)],[c_0_34,c_0_23]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,negated_conjecture,
    ( X1 = s__UnionFn(s__NullSet,X2)
    | ~ s__instance(esk158_3(X2,X1,s__NullSet),X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_30]) ).

cnf(c_0_39,negated_conjecture,
    X1 = s__UnionFn(s__NullSet,X2),
    inference(spm,[status(thm)],[c_0_38,c_0_23]) ).

cnf(c_0_40,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_39]) ).

cnf(c_0_41,plain,
    s__instance(s__Organism25_1,s__Organism),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_42,negated_conjecture,
    ~ s__instance(s__Organism25_1,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_40]) ).

cnf(c_0_43,plain,
    $false,
    inference(sr,[status(thm)],[c_0_41,c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR095+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.12/0.13  % 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 : n006.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 16:56:31 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 7.54/7.93  % Version  : CSE_E---1.7
% 7.54/7.93  % Problem  : theBenchmark.p
% 7.54/7.93  % SZS status Theorem for theBenchmark.p
% 7.54/7.93  % SZS output start CNFRefutation
% See solution above
% 7.54/7.97  % Total time : 6.280s
%------------------------------------------------------------------------------