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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR110+3 : TPTP v9.2.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n014.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 172.57s 234.13s
% Output   : CNFRefutation 172.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   39 (  12 unt;   0 def)
%            Number of atoms       :  162 (  33 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  192 (  69   ~;  78   |;  34   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-3 aty)
%            Number of variables   :   86 (  22 sgn  33   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_32603,axiom,
    ! [X137,X12,X136] :
      ( X12 = s__UnionFn(X136,X137)
    <=> ! [X1138,X34,X1139] :
          ( ( s__instance(X136,s__SetOrClass)
            & s__instance(X12,s__SetOrClass)
            & s__instance(X137,s__SetOrClass) )
         => ( ( s__instance(X1138,X136)
              & s__instance(X34,X137)
              & s__instance(X1139,X12) )
           => ( s__instance(X1138,X12)
              & s__instance(X34,X12)
              & ( s__instance(X1139,X136)
                | s__instance(X1139,X137) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_32640,axiom,
    ! [X817] :
      ( s__instance(X817,s__SetOrClass)
     => ( s__instance(X817,s__NullSet)
       => ~ ? [X851] : s__instance(X851,X817) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32640) ).

fof(kb_SUMO_14330,axiom,
    s__BigSix != s__GroupOf6,
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_14330) ).

fof(kb_SUMO_27141,axiom,
    ! [X981,X982] :
      ( s__disjoint(X981,X982)
    <=> ! [X851] :
          ( ( s__instance(X982,s__SetOrClass)
            & s__instance(X981,s__SetOrClass) )
         => ~ ( s__instance(X851,X981)
              & s__instance(X851,X982) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27141) ).

fof(kb_SUMO_32596,axiom,
    ! [X1136,X1137] :
      ( ! [X1063] :
          ( ( s__instance(X1137,s__Set)
            & s__instance(X1136,s__Set) )
         => ( s__element(X1063,X1137)
          <=> s__element(X1063,X1136) ) )
     => X1137 = X1136 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32596) ).

fof(kb_SUMO_39907,axiom,
    ! [X638] :
      ( s__instance(X638,s__Agreement)
     => ? [X288,X286] :
          ( s__instance(X286,s__CognitiveAgent)
          & s__instance(X288,s__CognitiveAgent)
          & s__partyToAgreement(X288,X638)
          & s__partyToAgreement(X286,X638)
          & X288 != X286 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_39907) ).

fof(kb_SUMO_11754,axiom,
    s__instance(s__AirPollutionConvention,s__Agreement),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_11754) ).

fof(c_0_7,plain,
    ! [X108820,X108821,X108822,X108823,X108824,X108825,X108826,X108827,X108828] :
      ( ( s__instance(X108823,X108821)
        | ~ s__instance(X108823,X108822)
        | ~ s__instance(X108824,X108820)
        | ~ s__instance(X108825,X108821)
        | ~ s__instance(X108822,s__SetOrClass)
        | ~ s__instance(X108821,s__SetOrClass)
        | ~ s__instance(X108820,s__SetOrClass)
        | X108821 != s__UnionFn(X108822,X108820) )
      & ( s__instance(X108824,X108821)
        | ~ s__instance(X108823,X108822)
        | ~ s__instance(X108824,X108820)
        | ~ s__instance(X108825,X108821)
        | ~ s__instance(X108822,s__SetOrClass)
        | ~ s__instance(X108821,s__SetOrClass)
        | ~ s__instance(X108820,s__SetOrClass)
        | X108821 != s__UnionFn(X108822,X108820) )
      & ( s__instance(X108825,X108822)
        | s__instance(X108825,X108820)
        | ~ s__instance(X108823,X108822)
        | ~ s__instance(X108824,X108820)
        | ~ s__instance(X108825,X108821)
        | ~ s__instance(X108822,s__SetOrClass)
        | ~ s__instance(X108821,s__SetOrClass)
        | ~ s__instance(X108820,s__SetOrClass)
        | X108821 != s__UnionFn(X108822,X108820) )
      & ( s__instance(X108828,s__SetOrClass)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( s__instance(X108827,s__SetOrClass)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( s__instance(X108826,s__SetOrClass)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( s__instance(esk4527_3(X108826,X108827,X108828),X108828)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( s__instance(esk4528_3(X108826,X108827,X108828),X108826)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( s__instance(esk4529_3(X108826,X108827,X108828),X108827)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( ~ s__instance(esk4529_3(X108826,X108827,X108828),X108828)
        | ~ s__instance(esk4527_3(X108826,X108827,X108828),X108827)
        | ~ s__instance(esk4528_3(X108826,X108827,X108828),X108827)
        | X108827 = s__UnionFn(X108828,X108826) )
      & ( ~ s__instance(esk4529_3(X108826,X108827,X108828),X108826)
        | ~ s__instance(esk4527_3(X108826,X108827,X108828),X108827)
        | ~ s__instance(esk4528_3(X108826,X108827,X108828),X108827)
        | X108827 = s__UnionFn(X108828,X108826) ) ),
    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_32603])])])])])]) ).

fof(c_0_8,plain,
    ! [X108832,X108833] :
      ( ~ s__instance(X108832,s__SetOrClass)
      | ~ s__instance(X108832,s__NullSet)
      | ~ s__instance(X108833,X108832) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32640])])]) ).

cnf(c_0_9,plain,
    s__BigSix != s__GroupOf6,
    inference(split_conjunct,[status(thm)],[kb_SUMO_14330]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    s__instance(X1,s__SetOrClass),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

fof(c_0_13,plain,
    ! [X99241,X99242,X99243,X99244,X99245] :
      ( ( ~ s__disjoint(X99241,X99242)
        | ~ s__instance(X99242,s__SetOrClass)
        | ~ s__instance(X99241,s__SetOrClass)
        | ~ s__instance(X99243,X99241)
        | ~ s__instance(X99243,X99242) )
      & ( s__instance(X99245,s__SetOrClass)
        | s__disjoint(X99244,X99245) )
      & ( s__instance(X99244,s__SetOrClass)
        | s__disjoint(X99244,X99245) )
      & ( s__instance(esk4310_2(X99244,X99245),X99244)
        | s__disjoint(X99244,X99245) )
      & ( s__instance(esk4310_2(X99244,X99245),X99245)
        | s__disjoint(X99244,X99245) ) ),
    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_27141])])])])])]) ).

cnf(c_0_14,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_15,plain,
    ( s__instance(esk4310_2(X1,X2),X1)
    | s__disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(X2,esk4310_2(s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,plain,
    ( s__instance(esk4527_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( X1 = s__UnionFn(esk4310_2(s__NullSet,X2),X3)
    | s__disjoint(s__NullSet,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,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_13]) ).

cnf(c_0_20,plain,
    ( X1 = X2
    | s__disjoint(s__NullSet,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_18]) ).

fof(c_0_21,plain,
    ! [X108817,X108818] :
      ( ( s__instance(X108818,s__Set)
        | X108818 = X108817 )
      & ( s__instance(X108817,s__Set)
        | X108818 = X108817 )
      & ( ~ s__element(esk4526_2(X108817,X108818),X108818)
        | ~ s__element(esk4526_2(X108817,X108818),X108817)
        | X108818 = X108817 )
      & ( s__element(esk4526_2(X108817,X108818),X108818)
        | s__element(esk4526_2(X108817,X108818),X108817)
        | X108818 = X108817 ) ),
    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_32596])])])])]) ).

cnf(c_0_22,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_19,c_0_12]),c_0_12])]) ).

cnf(c_0_23,plain,
    s__disjoint(s__NullSet,X1),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_20])]) ).

cnf(c_0_24,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    ( s__instance(esk4529_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,plain,
    s__instance(s__GroupOf6,s__Set),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_24])]) ).

cnf(c_0_28,plain,
    ( s__NullSet = s__UnionFn(X1,X2)
    | ~ s__instance(esk4529_3(X2,s__NullSet,X1),X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    s__instance(X1,s__Set),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_30,plain,
    ( s__instance(esk4528_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31,plain,
    s__NullSet = s__UnionFn(X1,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_32,plain,
    ! [X112032] :
      ( ( s__instance(esk5358_1(X112032),s__CognitiveAgent)
        | ~ s__instance(X112032,s__Agreement) )
      & ( s__instance(esk5357_1(X112032),s__CognitiveAgent)
        | ~ s__instance(X112032,s__Agreement) )
      & ( s__partyToAgreement(esk5357_1(X112032),X112032)
        | ~ s__instance(X112032,s__Agreement) )
      & ( s__partyToAgreement(esk5358_1(X112032),X112032)
        | ~ s__instance(X112032,s__Agreement) )
      & ( esk5357_1(X112032) != esk5358_1(X112032)
        | ~ s__instance(X112032,s__Agreement) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_39907])])])]) ).

cnf(c_0_33,plain,
    ( X1 = s__NullSet
    | ~ s__instance(esk4528_3(s__NullSet,X1,X2),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_30]),c_0_31]) ).

cnf(c_0_34,plain,
    ( esk5357_1(X1) != esk5358_1(X1)
    | ~ s__instance(X1,s__Agreement) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_35,plain,
    X1 = s__NullSet,
    inference(spm,[status(thm)],[c_0_33,c_0_29]) ).

cnf(c_0_36,plain,
    s__instance(s__AirPollutionConvention,s__Agreement),
    inference(split_conjunct,[status(thm)],[kb_SUMO_11754]) ).

cnf(c_0_37,plain,
    ~ s__instance(X1,s__Agreement),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_35])]) ).

cnf(c_0_38,plain,
    $false,
    inference(sr,[status(thm)],[c_0_36,c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR110+3 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n014.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 17:02:21 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 43.65/57.70  % Warning 104: No lemmas were extracted from the log file '/export/starexec/sandbox2/solver/bin/output/initial_lemmas_CSE.log'. Continuing with baseline prover only.
% 172.57/234.13  % Version  : CSE_E---1.7
% 172.57/234.13  % Problem  : theBenchmark.p
% 172.57/234.13  % SZS status Unsatisfiable for theBenchmark.p
% 172.57/234.13  % SZS output start CNFRefutation
% See solution above
% 172.74/234.34  % Total time : 225.851s
%------------------------------------------------------------------------------