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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR105+7 : 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 : n013.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 04:15:21 PM UTC 2026

% Result   : Theorem 31.61s 31.44s
% Output   : CNFRefutation 31.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :  115 (  19 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  142 (  52   ~;  54   |;  29   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   51 (  10 sgn  25   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2341,X2342] : s__overlapsTemporally(X2341,X2342),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(kb_SUMO_33471,axiom,
    ! [X563,X564] :
      ( ( s__instance(X564,s__Object)
        & s__instance(X563,s__Object) )
     => ( s__connected(X563,X564)
       => s__overlapsTemporally(s__WhenFn(X563),s__WhenFn(X564)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_33471) ).

fof(kb_SUMO_27887,axiom,
    ! [X851] :
      ( s__instance(X851,s__Object)
     => s__connected(X851,X851) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27887) ).

fof(kb_SUMO_34973,axiom,
    ! [X24] :
      ( s__instance(X24,s__WaterArea)
     => ? [X868,X1068,X557] :
          ( s__instance(X557,s__Object)
          & s__instance(X1068,s__Hole)
          & s__instance(X868,s__Object)
          & s__HoleHostFn(X1068) = X868
          & s__instance(X557,s__Water)
          & s__properlyFills(X557,X1068)
          & s__MereologicalSumFn(X868,X557) = X24 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_34973) ).

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/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_12269,axiom,
    s__instance(s__IndianOcean,s__Ocean),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_12269) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X2341,X2342] : s__overlapsTemporally(X2341,X2342),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_7,plain,
    ! [X3029,X3030] :
      ( ~ s__instance(X3030,s__Object)
      | ~ s__instance(X3029,s__Object)
      | ~ s__connected(X3029,X3030)
      | s__overlapsTemporally(s__WhenFn(X3029),s__WhenFn(X3030)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_33471])]) ).

fof(c_0_8,negated_conjecture,
    ! [X3010,X3011] : ~ s__overlapsTemporally(X3010,X3011),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

cnf(c_0_9,plain,
    ( s__overlapsTemporally(s__WhenFn(X2),s__WhenFn(X1))
    | ~ s__instance(X1,s__Object)
    | ~ s__instance(X2,s__Object)
    | ~ s__connected(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ s__overlapsTemporally(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X3207] :
      ( ~ s__instance(X3207,s__Object)
      | s__connected(X3207,X3207) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27887])]) ).

fof(c_0_12,plain,
    ! [X3519] :
      ( ( s__instance(esk34_1(X3519),s__Object)
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__instance(esk33_1(X3519),s__Hole)
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__instance(esk32_1(X3519),s__Object)
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__HoleHostFn(esk33_1(X3519)) = esk32_1(X3519)
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__instance(esk34_1(X3519),s__Water)
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__properlyFills(esk34_1(X3519),esk33_1(X3519))
        | ~ s__instance(X3519,s__WaterArea) )
      & ( s__MereologicalSumFn(esk32_1(X3519),esk34_1(X3519)) = X3519
        | ~ s__instance(X3519,s__WaterArea) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_34973])])])]) ).

cnf(c_0_13,plain,
    ( ~ s__connected(X1,X2)
    | ~ s__instance(X1,s__Object)
    | ~ s__instance(X2,s__Object) ),
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( s__connected(X1,X1)
    | ~ s__instance(X1,s__Object) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( s__instance(esk32_1(X1),s__Object)
    | ~ s__instance(X1,s__WaterArea) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ~ s__instance(X1,s__Object),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_17,plain,
    ! [X3378,X3379,X3380,X3381,X3382,X3383,X3384,X3385,X3386] :
      ( ( s__instance(X3381,X3379)
        | ~ s__instance(X3381,X3380)
        | ~ s__instance(X3382,X3378)
        | ~ s__instance(X3383,X3379)
        | ~ s__instance(X3380,s__SetOrClass)
        | ~ s__instance(X3379,s__SetOrClass)
        | ~ s__instance(X3378,s__SetOrClass)
        | X3379 != s__UnionFn(X3380,X3378) )
      & ( s__instance(X3382,X3379)
        | ~ s__instance(X3381,X3380)
        | ~ s__instance(X3382,X3378)
        | ~ s__instance(X3383,X3379)
        | ~ s__instance(X3380,s__SetOrClass)
        | ~ s__instance(X3379,s__SetOrClass)
        | ~ s__instance(X3378,s__SetOrClass)
        | X3379 != s__UnionFn(X3380,X3378) )
      & ( s__instance(X3383,X3380)
        | s__instance(X3383,X3378)
        | ~ s__instance(X3381,X3380)
        | ~ s__instance(X3382,X3378)
        | ~ s__instance(X3383,X3379)
        | ~ s__instance(X3380,s__SetOrClass)
        | ~ s__instance(X3379,s__SetOrClass)
        | ~ s__instance(X3378,s__SetOrClass)
        | X3379 != s__UnionFn(X3380,X3378) )
      & ( s__instance(X3386,s__SetOrClass)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( s__instance(X3385,s__SetOrClass)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( s__instance(X3384,s__SetOrClass)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( s__instance(esk22_3(X3384,X3385,X3386),X3386)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( s__instance(esk23_3(X3384,X3385,X3386),X3384)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( s__instance(esk24_3(X3384,X3385,X3386),X3385)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( ~ s__instance(esk24_3(X3384,X3385,X3386),X3386)
        | ~ s__instance(esk22_3(X3384,X3385,X3386),X3385)
        | ~ s__instance(esk23_3(X3384,X3385,X3386),X3385)
        | X3385 = s__UnionFn(X3386,X3384) )
      & ( ~ s__instance(esk24_3(X3384,X3385,X3386),X3384)
        | ~ s__instance(esk22_3(X3384,X3385,X3386),X3385)
        | ~ s__instance(esk23_3(X3384,X3385,X3386),X3385)
        | X3385 = s__UnionFn(X3386,X3384) ) ),
    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])])])])])]) ).

cnf(c_0_18,plain,
    ~ s__instance(X1,s__WaterArea),
    inference(sr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( s__instance(esk22_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,plain,
    X1 = s__UnionFn(s__WaterArea,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_20,c_0_20]) ).

cnf(c_0_22,plain,
    s__instance(s__IndianOcean,s__Ocean),
    inference(split_conjunct,[status(thm)],[kb_SUMO_12269]) ).

cnf(c_0_23,plain,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_21]) ).

cnf(c_0_24,plain,
    $false,
    inference(sr,[status(thm)],[c_0_22,c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR105+7 : 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
% 0.15/0.33  % Computer : n013.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 16:59:41 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 31.61/31.44  % Version  : CSE_E---1.7
% 31.61/31.44  % Problem  : theBenchmark.p
% 31.61/31.44  % SZS status Theorem for theBenchmark.p
% 31.61/31.44  % SZS output start CNFRefutation
% See solution above
% 31.61/31.44  % Total time : 31.036s
%------------------------------------------------------------------------------