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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : COM295_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 : Thu Sep 24 12:11:53 PM UTC 2026

% Result   : Theorem 223.50s 38.18s
% Output   : CNFRefutation 223.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  142 (  54 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  135 (  52   ~;  43   |;  27   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :  131 (   0 sgn 130   !;   1   ?; 131   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    vTStore: $tType ).

tff(decl_sort2,type,
    vTable: $tType ).

tff(decl_sort3,type,
    vQuery: $tType ).

tff(decl_sort4,type,
    vOptQuery: $tType ).

tff(decl_sort5,type,
    vTType: $tType ).

tff(decl_sort6,type,
    vTTContext: $tType ).

tff(decl_26,type,
    vtvalue: vTable > vQuery ).

tff(decl_28,type,
    vsomeQuery: vQuery > vOptQuery ).

tff(decl_52,type,
    vUnion: ( vQuery * vQuery ) > vQuery ).

tff(decl_53,type,
    vq1: vQuery ).

tff(decl_64,type,
    vq2: vQuery ).

tff(decl_84,type,
    vwelltypedtable: ( vTable * vTType ) > $o ).

tff(decl_97,type,
    vreduce: ( vTStore * vQuery ) > vOptQuery ).

tff(decl_109,type,
    visSomeQuery: vOptQuery > $o ).

tff(decl_110,type,
    vstoreContextConsistent: ( vTTContext * vTStore ) > $o ).

tff(decl_112,type,
    vptcheck: ( vTType * ( vQuery * vTTContext ) ) > $o ).

tff(decl_115,type,
    vgetQuery: vOptQuery > vQuery ).

tff(decl_137,type,
    esk1_0: vQuery ).

tff(decl_138,type,
    esk2_0: vTable ).

tff(decl_139,type,
    esk3_0: vTTContext ).

tff(decl_140,type,
    esk4_0: vTStore ).

tff(decl_141,type,
    esk5_0: vTType ).

tff(decl_144,type,
    esk8_1: vOptQuery > vQuery ).

tff(decl_145,type,
    esk9_3: ( vTStore * ( vQuery * vTable ) ) > vTable ).

tff(decl_146,type,
    esk10_3: ( vTStore * ( vQuery * vTable ) ) > vTable ).

tff('Preservation-Union-tvalue-q2-isSomeQuery-True',conjecture,
    ! [X461: vQuery,X53: vTable,X460: vTTContext,X294: vTStore,X54: vTType] :
      ( ( ( vreduce(vUnion(vq1,vq2),X294) = vsomeQuery(X461) )
        & vptcheck(X460,vUnion(vq1,vq2),X54)
        & vstoreContextConsistent(X294,X460)
        & ( vq1 = vtvalue(X53) )
        & ! [X299: vTable] : ( vq2 != vtvalue(X299) )
        & visSomeQuery(vreduce(vq2,X294)) )
     => vptcheck(X460,X461,X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Union-tvalue-q2-isSomeQuery-True') ).

tff('reduce-5',axiom,
    ! [X53: vTable,X297: vQuery,X294: vTStore] :
      ( ( visSomeQuery(vreduce(X297,X294))
        & ! [X298: vTable,X299: vTable] :
            ( ( X297 != vtvalue(X299) )
            | ( X53 != X298 ) ) )
     => ( vreduce(vUnion(vtvalue(X53),X297),X294) = vsomeQuery(vUnion(vtvalue(X53),vgetQuery(vreduce(X297,X294)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-5') ).

tff('EQ-someQuery',axiom,
    ! [X9: vQuery,X10: vQuery] :
      ( ( vsomeQuery(X9) = vsomeQuery(X10) )
     => ( X9 = X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someQuery') ).

tff('TUnion_inv2',axiom,
    ! [X456: vTTContext,X300: vQuery,X297: vQuery,X455: vTType] :
      ( vptcheck(X456,vUnion(X300,X297),X455)
     => vptcheck(X456,X297,X455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','TUnion_inv2') ).

tff('Ttvalue_inv',axiom,
    ! [X456: vTTContext,X53: vTable,X455: vTType] :
      ( vptcheck(X456,vtvalue(X53),X455)
     => vwelltypedtable(X455,X53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Ttvalue_inv') ).

tff('TUnion_inv1',axiom,
    ! [X456: vTTContext,X300: vQuery,X297: vQuery,X455: vTType] :
      ( vptcheck(X456,vUnion(X300,X297),X455)
     => vptcheck(X456,X300,X455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','TUnion_inv1') ).

tff('Preservation-Union-IH1',axiom,
    ! [X294: vTStore,X460: vTTContext,X54: vTType,X461: vQuery] :
      ( ( ( vreduce(vq2,X294) = vsomeQuery(X461) )
        & vptcheck(X460,vq2,X54)
        & vstoreContextConsistent(X294,X460) )
     => vptcheck(X460,X461,X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Union-IH1') ).

tff('TUnion',axiom,
    ! [X456: vTTContext,X300: vQuery,X455: vTType,X297: vQuery] :
      ( ( vptcheck(X456,X297,X455)
        & vptcheck(X456,X300,X455) )
     => vptcheck(X456,vUnion(X300,X297),X455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','TUnion') ).

tff('Ttvalue',axiom,
    ! [X455: vTType,X53: vTable,X456: vTTContext] :
      ( vwelltypedtable(X455,X53)
     => vptcheck(X456,vtvalue(X53),X455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Ttvalue') ).

tff('getQuery-0',axiom,
    ! [X55: vQuery] : ( vgetQuery(vsomeQuery(X55)) = X55 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','getQuery-0') ).

tff('isSomeQuery-true-INV',axiom,
    ! [X219: vOptQuery] :
      ( visSomeQuery(X219)
     => ? [X220: vQuery] : ( X219 = vsomeQuery(X220) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQuery-true-INV') ).

tff(c_0_11,negated_conjecture,
    ~ ! [X461: vQuery,X53: vTable,X460: vTTContext,X294: vTStore,X54: vTType] :
        ( ( ( vreduce(vUnion(vq1,vq2),X294) = vsomeQuery(X461) )
          & vptcheck(X460,vUnion(vq1,vq2),X54)
          & vstoreContextConsistent(X294,X460)
          & ( vq1 = vtvalue(X53) )
          & ! [X299: vTable] : ( vq2 != vtvalue(X299) )
          & visSomeQuery(vreduce(vq2,X294)) )
       => vptcheck(X460,X461,X54) ),
    inference(assume_negation,[status(cth)],['Preservation-Union-tvalue-q2-isSomeQuery-True']) ).

tff(c_0_12,negated_conjecture,
    ~ ! [X461: vQuery,X53: vTable,X460: vTTContext,X294: vTStore,X54: vTType] :
        ( ( ( vreduce(vUnion(vq1,vq2),X294) = vsomeQuery(X461) )
          & vptcheck(X460,vUnion(vq1,vq2),X54)
          & vstoreContextConsistent(X294,X460)
          & ( vq1 = vtvalue(X53) )
          & ! [X299: vTable] : ( vq2 != vtvalue(X299) )
          & visSomeQuery(vreduce(vq2,X294)) )
       => vptcheck(X460,X461,X54) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

tff(c_0_13,plain,
    ! [X53: vTable,X297: vQuery,X294: vTStore] :
      ( ( visSomeQuery(vreduce(X297,X294))
        & ! [X298: vTable,X299: vTable] :
            ( ( X297 != vtvalue(X299) )
            | ( X53 != X298 ) ) )
     => ( vreduce(vUnion(vtvalue(X53),X297),X294) = vsomeQuery(vUnion(vtvalue(X53),vgetQuery(vreduce(X297,X294)))) ) ),
    inference(fof_simplification,[status(thm)],['reduce-5']) ).

tff(c_0_14,negated_conjecture,
    ! [X467: vTable] :
      ( ~ vptcheck(esk3_0,esk1_0,esk5_0)
      & ( vreduce(vUnion(vq1,vq2),esk4_0) = vsomeQuery(esk1_0) )
      & vptcheck(esk3_0,vUnion(vq1,vq2),esk5_0)
      & vstoreContextConsistent(esk4_0,esk3_0)
      & ( vq1 = vtvalue(esk2_0) )
      & ( vq2 != vtvalue(X467) )
      & visSomeQuery(vreduce(vq2,esk4_0)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

tff(c_0_15,plain,
    ! [X551: vTable,X552: vQuery,X553: vTStore] :
      ( ( ( vreduce(vUnion(vtvalue(X551),X552),X553) = vsomeQuery(vUnion(vtvalue(X551),vgetQuery(vreduce(X552,X553)))) )
        | ~ visSomeQuery(vreduce(X552,X553))
        | ( X552 = vtvalue(esk10_3(X551,X552,X553)) ) )
      & ( ( vreduce(vUnion(vtvalue(X551),X552),X553) = vsomeQuery(vUnion(vtvalue(X551),vgetQuery(vreduce(X552,X553)))) )
        | ~ visSomeQuery(vreduce(X552,X553))
        | ( X551 = esk9_3(X551,X552,X553) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).

tcf(c_0_16,negated_conjecture,
    ! [X5: vTable] : vq2 != vtvalue(X5),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_17,plain,
    ! [X4: vQuery,X5: vTable,X47: vTStore] :
      ( ~ visSomeQuery(vreduce(X4,X47))
      | ( vreduce(vUnion(vtvalue(X5),X4),X47) = vsomeQuery(vUnion(vtvalue(X5),vgetQuery(vreduce(X4,X47)))) )
      | ( X4 = vtvalue(esk10_3(X5,X4,X47)) ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tff(c_0_18,plain,
    ! [X537: vQuery,X538: vQuery] :
      ( ( X537 = X538 )
      | ( vsomeQuery(X537) != vsomeQuery(X538) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someQuery'])])]) ).

tcf(c_0_19,negated_conjecture,
    ! [X5: vTable,X47: vTStore] :
      ( ~ visSomeQuery(vreduce(vq2,X47))
      | ( vsomeQuery(vUnion(vtvalue(X5),vgetQuery(vreduce(vq2,X47)))) = vreduce(vUnion(vtvalue(X5),vq2),X47) ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).

tcf(c_0_20,negated_conjecture,
    vq1 = vtvalue(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_21,plain,
    ! [X4: vQuery,X9: vQuery] :
      ( ( vsomeQuery(X4) != vsomeQuery(X9) )
      | ( X4 = X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_22,negated_conjecture,
    ! [X47: vTStore] :
      ( ~ visSomeQuery(vreduce(vq2,X47))
      | ( vsomeQuery(vUnion(vq1,vgetQuery(vreduce(vq2,X47)))) = vreduce(vUnion(vq1,vq2),X47) ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

tff(c_0_23,plain,
    ! [X515: vTTContext,X516: vQuery,X517: vQuery,X518: vTType] :
      ( vptcheck(X515,X517,X518)
      | ~ vptcheck(X515,vUnion(X516,X517),X518) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['TUnion_inv2'])])]) ).

tff(c_0_24,plain,
    ! [X502: vTTContext,X503: vTable,X504: vTType] :
      ( vwelltypedtable(X504,X503)
      | ~ vptcheck(X502,vtvalue(X503),X504) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Ttvalue_inv'])])]) ).

tff(c_0_25,plain,
    ! [X511: vTTContext,X512: vQuery,X513: vQuery,X514: vTType] :
      ( vptcheck(X511,X512,X514)
      | ~ vptcheck(X511,vUnion(X512,X513),X514) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['TUnion_inv1'])])]) ).

tcf(c_0_26,negated_conjecture,
    ! [X4: vQuery,X47: vTStore] :
      ( ~ visSomeQuery(vreduce(vq2,X47))
      | ( vsomeQuery(X4) != vreduce(vUnion(vq1,vq2),X47) )
      | ( X4 = vUnion(vq1,vgetQuery(vreduce(vq2,X47))) ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

tcf(c_0_27,negated_conjecture,
    vreduce(vUnion(vq1,vq2),esk4_0) = vsomeQuery(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_28,negated_conjecture,
    visSomeQuery(vreduce(vq2,esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tff(c_0_29,plain,
    ! [X688: vTStore,X689: vTTContext,X690: vTType,X691: vQuery] :
      ( vptcheck(X689,X691,X690)
      | ( vreduce(vq2,X688) != vsomeQuery(X691) )
      | ~ vptcheck(X689,vq2,X690)
      | ~ vstoreContextConsistent(X688,X689) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Preservation-Union-IH1'])])]) ).

tcf(c_0_30,plain,
    ! [X4: vQuery,X9: vQuery,X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,vUnion(X4,X9),X18)
      | vptcheck(X23,X9,X18) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

tcf(c_0_31,negated_conjecture,
    vptcheck(esk3_0,vUnion(vq1,vq2),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_32,plain,
    ! [X5: vTable,X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,vtvalue(X5),X18)
      | vwelltypedtable(X18,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

tcf(c_0_33,plain,
    ! [X4: vQuery,X9: vQuery,X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,vUnion(X4,X9),X18)
      | vptcheck(X23,X4,X18) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

tff(c_0_34,plain,
    ! [X490: vTTContext,X491: vQuery,X492: vTType,X493: vQuery] :
      ( vptcheck(X490,vUnion(X491,X493),X492)
      | ~ vptcheck(X490,X493,X492)
      | ~ vptcheck(X490,X491,X492) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['TUnion'])])]) ).

tcf(c_0_35,negated_conjecture,
    ! [X4: vQuery] :
      ( ( vsomeQuery(X4) != vsomeQuery(esk1_0) )
      | ( X4 = vUnion(vq1,vgetQuery(vreduce(vq2,esk4_0))) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

tcf(c_0_36,plain,
    ! [X18: vTType,X47: vTStore,X23: vTTContext,X4: vQuery] :
      ( ( vreduce(vq2,X47) != vsomeQuery(X4) )
      | ~ vptcheck(X23,vq2,X18)
      | ~ vstoreContextConsistent(X47,X23)
      | vptcheck(X23,X4,X18) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

tcf(c_0_37,negated_conjecture,
    vptcheck(esk3_0,vq2,esk5_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

tff(c_0_38,plain,
    ! [X481: vTType,X482: vTable,X483: vTTContext] :
      ( vptcheck(X483,vtvalue(X482),X481)
      | ~ vwelltypedtable(X481,X482) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Ttvalue'])])]) ).

tcf(c_0_39,negated_conjecture,
    ! [X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,vq1,X18)
      | vwelltypedtable(X18,esk2_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_20]) ).

tcf(c_0_40,negated_conjecture,
    vptcheck(esk3_0,vq1,esk5_0),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

tff(c_0_41,plain,
    ! [X540: vQuery] : ( vgetQuery(vsomeQuery(X540)) = X540 ),
    inference(variable_rename,[status(thm)],['getQuery-0']) ).

tff(c_0_42,plain,
    ! [X542: vOptQuery] :
      ( ( X542 = vsomeQuery(esk8_1(X542)) )
      | ~ visSomeQuery(X542) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['isSomeQuery-true-INV'])])])]) ).

tcf(c_0_43,plain,
    ! [X4: vQuery,X9: vQuery,X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,X9,X18)
      | ~ vptcheck(X23,X4,X18)
      | vptcheck(X23,vUnion(X4,X9),X18) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

tcf(c_0_44,negated_conjecture,
    vUnion(vq1,vgetQuery(vreduce(vq2,esk4_0))) = esk1_0,
    inference(er,[status(thm)],[c_0_35]) ).

tcf(c_0_45,negated_conjecture,
    ! [X4: vQuery,X47: vTStore] :
      ( ~ vstoreContextConsistent(X47,esk3_0)
      | ( vreduce(vq2,X47) != vsomeQuery(X4) )
      | vptcheck(esk3_0,X4,esk5_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

tcf(c_0_46,negated_conjecture,
    vstoreContextConsistent(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_47,plain,
    ! [X23: vTTContext,X18: vTType,X5: vTable] :
      ( ~ vwelltypedtable(X18,X5)
      | vptcheck(X23,vtvalue(X5),X18) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

tcf(c_0_48,negated_conjecture,
    vwelltypedtable(esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

tcf(c_0_49,plain,
    ! [X4: vQuery] : vgetQuery(vsomeQuery(X4)) = X4,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

tcf(c_0_50,plain,
    ! [X36: vOptQuery] :
      ( ~ visSomeQuery(X36)
      | ( X36 = vsomeQuery(esk8_1(X36)) ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

tcf(c_0_51,negated_conjecture,
    ! [X23: vTTContext,X18: vTType] :
      ( ~ vptcheck(X23,vq1,X18)
      | ~ vptcheck(X23,vgetQuery(vreduce(vq2,esk4_0)),X18)
      | vptcheck(X23,esk1_0,X18) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

tcf(c_0_52,negated_conjecture,
    ! [X4: vQuery] :
      ( ( vsomeQuery(X4) != vreduce(vq2,esk4_0) )
      | vptcheck(esk3_0,X4,esk5_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

tcf(c_0_53,negated_conjecture,
    ! [X23: vTTContext] : vptcheck(X23,vq1,esk5_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_20]) ).

tcf(c_0_54,negated_conjecture,
    ~ vptcheck(esk3_0,esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_55,plain,
    ! [X36: vOptQuery] :
      ( ~ visSomeQuery(X36)
      | ( esk8_1(X36) = vgetQuery(X36) ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

tcf(c_0_56,negated_conjecture,
    vsomeQuery(vgetQuery(vreduce(vq2,esk4_0))) != vreduce(vq2,esk4_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),c_0_54]) ).

tcf(c_0_57,plain,
    ! [X36: vOptQuery] :
      ( ~ visSomeQuery(X36)
      | ( vsomeQuery(vgetQuery(X36)) = X36 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM295_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.40  % Computer : n007.cluster.edu
% 0.12/5.40  % Model    : x86_64 x86_64
% 0.12/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40  % Memory   : 8046.5625MB
% 0.12/5.40  % OS       : Linux 6.8.0-71-generic
% 0.12/5.40  % CPULimit : 300
% 0.12/5.40  % WCLimit  : 300
% 0.12/5.40  % DateTime : Mon Sep 21 14:20:42 UTC 2026
% 0.12/5.40  % CPUTime  : 
% 0.12/5.40  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.47  Running first-order theorem proving
% 0.12/5.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 223.50/38.18  % Version: 3.5.1
% 223.50/38.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 223.50/38.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 223.50/38.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 223.50/38.18  % Starting new_bool_3 with 300s (1) cores
% 223.50/38.18  % Starting new_bool_1 with 300s (1) cores
% 223.50/38.18  % Starting sh5l with 300s (1) cores
% 223.50/38.18  % sh5l with pid 1321610 completed with status 0
% 223.50/38.18  % Result found by sh5l
% 223.50/38.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 223.50/38.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 223.50/38.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 223.50/38.18  % Starting new_bool_3 with 300s (1) cores
% 223.50/38.18  % Starting new_bool_1 with 300s (1) cores
% 223.50/38.18  % Starting sh5l with 300s (1) cores
% 223.50/38.18  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 223.50/38.18  % SinE strategy is gf500_gu_R04_F100_L20000
% 223.50/38.18  % Search class: FGHSM-SMLM32-DFFFFFNN
% 223.50/38.18  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 223.50/38.18  % Starting SubtermCWHack with 28s (1) cores
% 223.50/38.18  % SubtermCWHack with pid 1321613 completed with status 8
% 223.50/38.18  % Starting sh5l with 31s (1) cores
% 223.50/38.18  % sh5l with pid 1321625 completed with status 0
% 223.50/38.18  % Result found by sh5l
% 223.50/38.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 223.50/38.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 223.50/38.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 223.50/38.18  % Starting new_bool_3 with 300s (1) cores
% 223.50/38.18  % Starting new_bool_1 with 300s (1) cores
% 223.50/38.18  % Starting sh5l with 300s (1) cores
% 223.50/38.18  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 223.50/38.18  % SinE strategy is gf500_gu_R04_F100_L20000
% 223.50/38.18  % Search class: FGHSM-SMLM32-DFFFFFNN
% 223.50/38.18  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 223.50/38.18  % Starting SubtermCWHack with 28s (1) cores
% 223.50/38.18  % SubtermCWHack with pid 1321613 completed with status 8
% 223.50/38.18  % Starting sh5l with 31s (1) cores
% 223.50/38.18  % Preprocessing time       : 0.067 s
% 223.50/38.18  % Presaturation interreduction done
% 223.50/38.18  
% 223.50/38.18  % Proof found!
% 223.50/38.18  % SZS status Theorem
% 223.50/38.18  % SZS output start CNFRefutation
% See solution above
% 223.50/38.18  % Parsed axioms                        : 412
% 223.50/38.18  % Removed by relevancy pruning/SinE    : 128
% 223.50/38.18  % Initial clauses                      : 2769
% 223.50/38.18  % Removed in clause preprocessing      : 0
% 223.50/38.18  % Initial clauses in saturation        : 2769
% 223.50/38.18  % Processed clauses                    : 6619
% 223.50/38.18  % ...of these trivial                  : 66
% 223.50/38.18  % ...subsumed                          : 2333
% 223.50/38.18  % ...remaining for further processing  : 4220
% 223.50/38.18  % Other redundant clauses eliminated   : 769
% 223.50/38.18  % Clauses deleted for lack of memory   : 0
% 223.50/38.18  % Backward-subsumed                    : 14
% 223.50/38.18  % Backward-rewritten                   : 16
% 223.50/38.18  % Generated clauses                    : 9404
% 223.50/38.18  % ...of the previous two non-redundant : 7801
% 223.50/38.18  % ...aggressively subsumed             : 0
% 223.50/38.18  % Contextual simplify-reflections      : 7
% 223.50/38.18  % Paramodulations                      : 8595
% 223.50/38.18  % Factorizations                       : 0
% 223.50/38.18  % NegExts                              : 0
% 223.50/38.18  % Equation resolutions                 : 820
% 223.50/38.18  % Disequality decompositions           : 0
% 223.50/38.18  % Total rewrite steps                  : 2458
% 223.50/38.18  % ...of those cached                   : 2177
% 223.50/38.18  % Propositional unsat checks           : 0
% 223.50/38.18  %    Propositional check models        : 0
% 223.50/38.18  %    Propositional check unsatisfiable : 0
% 223.50/38.18  %    Propositional clauses             : 0
% 223.50/38.18  %    Propositional clauses after purity: 0
% 223.50/38.18  %    Propositional unsat core size     : 0
% 223.50/38.18  %    Propositional preprocessing time  : 0.000
% 223.50/38.18  %    Propositional encoding time       : 0.000
% 223.50/38.18  %    Propositional solver time         : 0.000
% 223.50/38.18  %    Success case prop preproc time    : 0.000
% 223.50/38.18  %    Success case prop encoding time   : 0.000
% 223.50/38.18  %    Success case prop solver time     : 0.000
% 223.50/38.18  % Current number of processed clauses  : 1448
% 223.50/38.18  %    Positive orientable unit clauses  : 163
% 223.50/38.18  %    Positive unorientable unit clauses: 17
% 223.50/38.18  %    Negative unit clauses             : 92
% 223.50/38.18  %    Non-unit-clauses                  : 1176
% 223.50/38.18  % Current number of unprocessed clauses: 6500
% 223.50/38.18  % ...number of literals in the above   : 23438
% 223.50/38.18  % Current number of archived formulas  : 0
% 223.50/38.18  % Current number of archived clauses   : 2631
% 223.50/38.18  % Clause-clause subsumption calls (NU) : 1234460
% 223.50/38.18  % Rec. Clause-clause subsumption calls : 503220
% 223.50/38.18  % Non-unit clause-clause subsumptions  : 1620
% 223.50/38.18  % Unit Clause-clause subsumption calls : 18769
% 223.50/38.18  % Rewrite failures with RHS unbound    : 289
% 223.50/38.18  % BW rewrite match attempts            : 61
% 223.50/38.18  % BW rewrite match successes           : 32
% 223.50/38.18  % Condensation attempts                : 6619
% 223.50/38.18  % Condensation successes               : 36
% 223.50/38.18  % Termbank termtop insertions          : 246711
% 223.50/38.18  % Search garbage collected termcells   : 19487
% 223.50/38.18  
% 223.50/38.18  % -------------------------------------------------
% 223.50/38.18  % User time                : 28.945 s
% 223.50/38.18  % System time              : 0.956 s
% 223.50/38.18  % Total time               : 29.901 s
% 223.50/38.18  % Maximum resident set size: 9304 pages
% 223.50/38.18  
% 223.50/38.18  % -------------------------------------------------
% 223.50/38.18  % User time                : 28.970 s
% 223.50/38.18  % System time              : 0.969 s
% 223.50/38.18  % Total time               : 29.938 s
% 223.50/38.18  % Maximum resident set size: 5632 pages
% 223.50/38.18  % E exiting
%------------------------------------------------------------------------------