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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV396+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n027.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 05:22:05 PM UTC 2026

% Result   : Theorem 1.93s 1.90s
% Output   : CNFRefutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   75 (  20 unt;   0 def)
%            Number of atoms       :  197 (  62 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  187 (  65   ~;  77   |;  26   &)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :  199 (  23 sgn 125   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax40,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).

fof(l32_co,conjecture,
    ! [X1] :
      ( ! [X2,X3,X4,X5] :
          ( ( pair_in_list(X1,X4,X5)
            & strictly_less_than(X4,X5)
            & ok(remove_cpq(triple(X2,X1,X3),X4)) )
         => pair_in_list(remove_slb(X1,X4),X4,X5) )
     => ! [X6,X7,X8,X9,X10,X11] :
          ( ( pair_in_list(insert_slb(X1,pair(X10,X11)),X8,X9)
            & strictly_less_than(X8,X9)
            & ok(remove_cpq(triple(X6,insert_slb(X1,pair(X10,X11)),X7),X8)) )
         => pair_in_list(remove_slb(insert_slb(X1,pair(X10,X11)),X8),X8,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_co) ).

fof(ax43,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax43) ).

fof(ax45,axiom,
    ! [X1,X2,X3,X4] :
      ( ( contains_slb(X2,X4)
        & strictly_less_than(X4,lookup_slb(X2,X4)) )
     => remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax45) ).

fof(ax21,axiom,
    ! [X1,X2,X3,X4] :
      ( contains_slb(insert_slb(X1,pair(X2,X4)),X3)
    <=> ( contains_slb(X1,X3)
        | X2 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax21) ).

fof(stricly_smaller_definition,axiom,
    ! [X1,X2] :
      ( strictly_less_than(X1,X2)
    <=> ( less_than(X1,X2)
        & ~ less_than(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

fof(ax41,axiom,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax41) ).

fof(ax27,axiom,
    ! [X1,X2,X3,X4] :
      ( ( X2 != X3
        & contains_slb(X1,X3) )
     => lookup_slb(insert_slb(X1,pair(X2,X4)),X3) = lookup_slb(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax27) ).

fof(totality,axiom,
    ! [X1,X2] :
      ( less_than(X1,X2)
      | less_than(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).

fof(ax44,axiom,
    ! [X1,X2,X3,X4] :
      ( ( contains_slb(X2,X4)
        & less_than(lookup_slb(X2,X4),X4) )
     => remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax44) ).

fof(ax25,axiom,
    ! [X1,X2,X3,X4] :
      ( ( X2 != X3
        & contains_slb(X1,X3) )
     => remove_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(remove_slb(X1,X3),pair(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax25) ).

fof(ax23,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( pair_in_list(insert_slb(X1,pair(X2,X4)),X3,X5)
    <=> ( pair_in_list(X1,X3,X5)
        | ( X2 = X3
          & X4 = X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).

fof(ax24,axiom,
    ! [X1,X2,X3] : remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax24) ).

fof(ax26,axiom,
    ! [X1,X2,X3] : lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax26) ).

fof(c_0_14,plain,
    ! [X1,X2] : ~ ok(triple(X1,X2,bad)),
    inference(fof_simplification,[status(thm)],[ax40]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( ! [X2,X3,X4,X5] :
            ( ( pair_in_list(X1,X4,X5)
              & strictly_less_than(X4,X5)
              & ok(remove_cpq(triple(X2,X1,X3),X4)) )
           => pair_in_list(remove_slb(X1,X4),X4,X5) )
       => ! [X6,X7,X8,X9,X10,X11] :
            ( ( pair_in_list(insert_slb(X1,pair(X10,X11)),X8,X9)
              & strictly_less_than(X8,X9)
              & ok(remove_cpq(triple(X6,insert_slb(X1,pair(X10,X11)),X7),X8)) )
           => pair_in_list(remove_slb(insert_slb(X1,pair(X10,X11)),X8),X8,X9) ) ),
    inference(assume_negation,[status(cth)],[l32_co]) ).

fof(c_0_16,plain,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    inference(fof_simplification,[status(thm)],[ax43]) ).

fof(c_0_17,plain,
    ! [X214,X215] : ~ ok(triple(X214,X215,bad)),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X231,X232,X233,X234] :
      ( ~ contains_slb(X232,X234)
      | ~ strictly_less_than(X234,lookup_slb(X232,X234))
      | remove_cpq(triple(X231,X232,X233),X234) = triple(remove_pqp(X231,X234),remove_slb(X232,X234),bad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

fof(c_0_19,negated_conjecture,
    ! [X254,X255,X256,X257] :
      ( ( ~ pair_in_list(esk1_0,X256,X257)
        | ~ strictly_less_than(X256,X257)
        | ~ ok(remove_cpq(triple(X254,esk1_0,X255),X256))
        | pair_in_list(remove_slb(esk1_0,X256),X256,X257) )
      & pair_in_list(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0,esk5_0)
      & strictly_less_than(esk4_0,esk5_0)
      & ok(remove_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk3_0),esk4_0))
      & ~ pair_in_list(remove_slb(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0),esk4_0,esk5_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).

fof(c_0_20,plain,
    ! [X223,X224,X225,X226] :
      ( contains_slb(X224,X226)
      | remove_cpq(triple(X223,X224,X225),X226) = triple(X223,X224,bad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).

cnf(c_0_21,plain,
    ~ ok(triple(X1,X2,bad)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    ( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),bad)
    | ~ contains_slb(X1,X2)
    | ~ strictly_less_than(X2,lookup_slb(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ok(remove_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,plain,
    ( contains_slb(X1,X2)
    | remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_25,plain,
    ! [X153,X154,X155,X156] :
      ( ( ~ contains_slb(insert_slb(X153,pair(X154,X156)),X155)
        | contains_slb(X153,X155)
        | X154 = X155 )
      & ( ~ contains_slb(X153,X155)
        | contains_slb(insert_slb(X153,pair(X154,X156)),X155) )
      & ( X154 != X155
        | contains_slb(insert_slb(X153,pair(X154,X156)),X155) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

fof(c_0_26,plain,
    ! [X1,X2] :
      ( strictly_less_than(X1,X2)
    <=> ( less_than(X1,X2)
        & ~ less_than(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[stricly_smaller_definition]) ).

fof(c_0_27,plain,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    inference(fof_simplification,[status(thm)],[ax41]) ).

cnf(c_0_28,plain,
    ( ~ ok(remove_cpq(triple(X1,X2,X3),X4))
    | ~ contains_slb(X2,X4)
    | ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    contains_slb(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).

fof(c_0_30,plain,
    ! [X174,X175,X176,X177] :
      ( X175 = X176
      | ~ contains_slb(X174,X176)
      | lookup_slb(insert_slb(X174,pair(X175,X177)),X176) = lookup_slb(X174,X176) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).

cnf(c_0_31,plain,
    ( contains_slb(X1,X4)
    | X2 = X4
    | ~ contains_slb(insert_slb(X1,pair(X2,X3)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_32,plain,
    ! [X146,X147] :
      ( ( less_than(X146,X147)
        | ~ strictly_less_than(X146,X147) )
      & ( ~ less_than(X147,X146)
        | ~ strictly_less_than(X146,X147) )
      & ( ~ less_than(X146,X147)
        | less_than(X147,X146)
        | strictly_less_than(X146,X147) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

fof(c_0_33,plain,
    ! [X143,X144] :
      ( less_than(X143,X144)
      | less_than(X144,X143) ),
    inference(variable_rename,[status(thm)],[totality]) ).

fof(c_0_34,plain,
    ! [X216,X217,X218] :
      ( ok(triple(X216,X217,X218))
      | X218 = bad ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).

fof(c_0_35,plain,
    ! [X227,X228,X229,X230] :
      ( ~ contains_slb(X228,X230)
      | ~ less_than(lookup_slb(X228,X230),X230)
      | remove_cpq(triple(X227,X228,X229),X230) = triple(remove_pqp(X227,X230),remove_slb(X228,X230),X229) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])]) ).

cnf(c_0_36,negated_conjecture,
    ~ strictly_less_than(esk4_0,lookup_slb(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_29])]) ).

cnf(c_0_37,plain,
    ( X1 = X2
    | lookup_slb(insert_slb(X3,pair(X1,X4)),X2) = lookup_slb(X3,X2)
    | ~ contains_slb(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    ( esk6_0 = esk4_0
    | contains_slb(esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_29]) ).

cnf(c_0_39,plain,
    ( less_than(X2,X1)
    | strictly_less_than(X1,X2)
    | ~ less_than(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,plain,
    ( ok(triple(X1,X2,X3))
    | X3 = bad ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,plain,
    ( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),X4)
    | ~ contains_slb(X1,X2)
    | ~ less_than(lookup_slb(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    ( esk6_0 = esk4_0
    | ~ strictly_less_than(esk4_0,lookup_slb(esk1_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_44,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_45,plain,
    ! [X167,X168,X169,X170] :
      ( X168 = X169
      | ~ contains_slb(X167,X169)
      | remove_slb(insert_slb(X167,pair(X168,X170)),X169) = insert_slb(remove_slb(X167,X169),pair(X168,X170)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).

cnf(c_0_46,plain,
    ( X1 = bad
    | ok(remove_cpq(triple(X2,X3,X1),X4))
    | ~ contains_slb(X3,X4)
    | ~ less_than(lookup_slb(X3,X4),X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( esk6_0 = esk4_0
    | less_than(lookup_slb(esk1_0,esk4_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_48,plain,
    ! [X159,X160,X161,X162,X163] :
      ( ( X160 = X161
        | pair_in_list(X159,X161,X163)
        | ~ pair_in_list(insert_slb(X159,pair(X160,X162)),X161,X163) )
      & ( X162 = X163
        | pair_in_list(X159,X161,X163)
        | ~ pair_in_list(insert_slb(X159,pair(X160,X162)),X161,X163) )
      & ( ~ pair_in_list(X159,X161,X163)
        | pair_in_list(insert_slb(X159,pair(X160,X162)),X161,X163) )
      & ( X160 != X161
        | X162 != X163
        | pair_in_list(insert_slb(X159,pair(X160,X162)),X161,X163) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

cnf(c_0_49,negated_conjecture,
    ~ pair_in_list(remove_slb(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0),esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_50,plain,
    ( X1 = X2
    | remove_slb(insert_slb(X3,pair(X1,X4)),X2) = insert_slb(remove_slb(X3,X2),pair(X1,X4))
    | ~ contains_slb(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( pair_in_list(remove_slb(esk1_0,X1),X1,X2)
    | ~ pair_in_list(esk1_0,X1,X2)
    | ~ strictly_less_than(X1,X2)
    | ~ ok(remove_cpq(triple(X3,esk1_0,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_52,negated_conjecture,
    ( esk6_0 = esk4_0
    | X1 = bad
    | ok(remove_cpq(triple(X2,esk1_0,X1),esk4_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_38]) ).

cnf(c_0_53,plain,
    ( X1 = X2
    | pair_in_list(X3,X2,X4)
    | ~ pair_in_list(insert_slb(X3,pair(X1,X5)),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    pair_in_list(insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_55,negated_conjecture,
    ( esk6_0 = esk4_0
    | ~ pair_in_list(insert_slb(remove_slb(esk1_0,esk4_0),pair(esk6_0,esk7_0)),esk4_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_38]) ).

cnf(c_0_56,plain,
    ( pair_in_list(insert_slb(X1,pair(X4,X5)),X2,X3)
    | ~ pair_in_list(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    ( esk6_0 = esk4_0
    | X1 = bad
    | pair_in_list(remove_slb(esk1_0,esk4_0),esk4_0,X2)
    | ~ pair_in_list(esk1_0,esk4_0,X2)
    | ~ strictly_less_than(esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( esk6_0 = esk4_0
    | pair_in_list(esk1_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    strictly_less_than(esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_60,negated_conjecture,
    ( esk6_0 = esk4_0
    | ~ pair_in_list(remove_slb(esk1_0,esk4_0),esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( esk6_0 = esk4_0
    | X1 = bad ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),c_0_60]) ).

cnf(c_0_62,negated_conjecture,
    ( esk6_0 = esk4_0
    | ~ ok(bad) ),
    inference(spm,[status(thm)],[c_0_21,c_0_61]) ).

cnf(c_0_63,negated_conjecture,
    ( esk6_0 = esk4_0
    | ~ ok(X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

fof(c_0_64,plain,
    ! [X164,X165,X166] : remove_slb(insert_slb(X164,pair(X165,X166)),X165) = X164,
    inference(variable_rename,[status(thm)],[ax24]) ).

fof(c_0_65,plain,
    ! [X171,X172,X173] : lookup_slb(insert_slb(X171,pair(X172,X173)),X172) = X173,
    inference(variable_rename,[status(thm)],[ax26]) ).

cnf(c_0_66,plain,
    ( X1 = X2
    | pair_in_list(X3,X4,X2)
    | ~ pair_in_list(insert_slb(X3,pair(X5,X1)),X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_67,negated_conjecture,
    esk6_0 = esk4_0,
    inference(spm,[status(thm)],[c_0_63,c_0_23]) ).

cnf(c_0_68,plain,
    remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,plain,
    lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( esk7_0 = esk5_0
    | pair_in_list(esk1_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_54]) ).

cnf(c_0_71,negated_conjecture,
    ~ pair_in_list(esk1_0,esk4_0,esk5_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_67]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ~ strictly_less_than(esk4_0,esk7_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_67]),c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    esk7_0 = esk5_0,
    inference(sr,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_59])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWV396+1 : TPTP v9.2.1. Released v3.3.0.
% 0.13/0.14  % 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
% 0.17/0.35  % Computer : n027.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Tue May  5 05:07:35 EDT 2026
% 0.17/0.35  % CPUTime    : 
% 0.17/0.36  % start to proof: theBenchmark
% 1.93/1.90  % Version  : CSE_E---1.7
% 1.93/1.90  % Problem  : theBenchmark.p
% 1.93/1.90  % SZS status Theorem for theBenchmark.p
% 1.93/1.90  % SZS output start CNFRefutation
% See solution above
% 1.93/1.90  % Total time : 1.372s
%------------------------------------------------------------------------------