↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC053+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n011.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 05:18:04 PM UTC 2026

% Result   : Theorem 1.60s 1.80s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   74 (  14 unt;   0 def)
%            Number of atoms       :  293 ( 100 equ)
%            Maximal formula atoms :   36 (   3 avg)
%            Number of connectives :  354 ( 135   ~; 154   |;  39   &)
%                                         (   4 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   69 (   0 sgn  38   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ( ! [X5] :
                          ( ssList(X5)
                         => ( ~ neq(X5,nil)
                            | ~ frontsegP(X4,X5)
                            | ~ frontsegP(X3,X5) ) )
                      & ( nil != X4
                        | nil != X3 ) )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ? [X6] :
                            ( ssList(X6)
                            & neq(X6,nil)
                            & segmentP(X2,X6)
                            & segmentP(X1,X6) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ! [X5] :
                            ( ssList(X5)
                           => ( ~ neq(X5,nil)
                              | ~ frontsegP(X4,X5)
                              | ~ frontsegP(X3,X5) ) )
                        & ( nil != X4
                          | nil != X3 ) )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( ~ neq(X2,nil)
                          | ? [X6] :
                              ( ssList(X6)
                              & neq(X6,nil)
                              & segmentP(X2,X6)
                              & segmentP(X1,X6) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_10,plain,
    ! [X237,X238,X241,X242] :
      ( ( ssList(esk8_2(X237,X238))
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( ssList(esk9_2(X237,X238))
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( app(app(esk8_2(X237,X238),X238),esk9_2(X237,X238)) = X237
        | ~ segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) )
      & ( ~ ssList(X241)
        | ~ ssList(X242)
        | app(app(X241,X238),X242) != X237
        | segmentP(X237,X238)
        | ~ ssList(X238)
        | ~ ssList(X237) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

fof(c_0_11,negated_conjecture,
    ! [X465] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ( nil = esk51_0
        | ssList(esk52_0) )
      & ( nil = esk50_0
        | ssList(esk52_0) )
      & ( nil = esk51_0
        | neq(esk52_0,nil) )
      & ( nil = esk50_0
        | neq(esk52_0,nil) )
      & ( nil = esk51_0
        | frontsegP(esk51_0,esk52_0) )
      & ( nil = esk50_0
        | frontsegP(esk51_0,esk52_0) )
      & ( nil = esk51_0
        | frontsegP(esk50_0,esk52_0) )
      & ( nil = esk50_0
        | frontsegP(esk50_0,esk52_0) )
      & ( neq(esk49_0,nil)
        | nil = esk49_0 )
      & ( ~ ssList(X465)
        | ~ neq(X465,nil)
        | ~ segmentP(esk49_0,X465)
        | ~ segmentP(esk48_0,X465)
        | nil = esk49_0 )
      & ( neq(esk49_0,nil)
        | nil != esk48_0 )
      & ( ~ ssList(X465)
        | ~ neq(X465,nil)
        | ~ segmentP(esk49_0,X465)
        | ~ segmentP(esk48_0,X465)
        | nil != esk48_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

cnf(c_0_12,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X344] :
      ( ~ ssList(X344)
      | app(nil,X344) = X344 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_14,plain,
    ! [X339,X340] :
      ( ~ ssList(X339)
      | ~ ssList(X340)
      | ssList(app(X339,X340)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_15,plain,
    ! [X229,X230,X232] :
      ( ( ssList(esk6_2(X229,X230))
        | ~ frontsegP(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) )
      & ( app(X230,esk6_2(X229,X230)) = X229
        | ~ frontsegP(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) )
      & ( ~ ssList(X232)
        | app(X230,X232) != X229
        | frontsegP(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_23,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( nil = esk50_0
    | frontsegP(esk50_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( nil = esk50_0
    | ssList(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_28,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_29,negated_conjecture,
    ( nil = esk51_0
    | frontsegP(esk51_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_32,plain,
    ! [X434,X435] :
      ( ( nil = X435
        | nil != app(X434,X435)
        | ~ ssList(X435)
        | ~ ssList(X434) )
      & ( nil = X434
        | nil != app(X434,X435)
        | ~ ssList(X435)
        | ~ ssList(X434) )
      & ( nil != X435
        | nil != X434
        | nil = app(X434,X435)
        | ~ ssList(X435)
        | ~ ssList(X434) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( nil = esk51_0
    | frontsegP(esk50_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_34,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ segmentP(esk48_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_36,negated_conjecture,
    ( app(esk52_0,esk6_2(esk50_0,esk52_0)) = esk50_0
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk6_2(esk50_0,esk52_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    ( app(esk52_0,esk6_2(esk51_0,esk52_0)) = esk51_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk6_2(esk51_0,esk52_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).

fof(c_0_40,plain,
    ! [X403] :
      ( ~ ssList(X403)
      | segmentP(X403,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_41,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,negated_conjecture,
    ( app(esk52_0,esk6_2(esk50_0,esk52_0)) = esk50_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_33]),c_0_26])]),c_0_31]) ).

cnf(c_0_43,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk6_2(esk50_0,esk52_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_26])]),c_0_31]) ).

cnf(c_0_44,negated_conjecture,
    ( esk51_0 = nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_19]),c_0_17]),c_0_19]) ).

cnf(c_0_45,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(esk50_0,esk52_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27]),c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    ( nil = esk51_0
    | neq(esk52_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_47,negated_conjecture,
    ( esk51_0 = nil
    | segmentP(esk51_0,esk52_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_31]),c_0_39]) ).

cnf(c_0_48,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ segmentP(esk48_0,X1)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_50,negated_conjecture,
    ( esk51_0 = nil
    | esk52_0 = nil
    | esk50_0 != nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31]),c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ( esk50_0 = nil
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_31]),c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( esk51_0 = nil
    | ~ segmentP(esk51_0,nil)
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_22]),c_0_26])]) ).

cnf(c_0_53,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_17]),c_0_17]),c_0_19]) ).

cnf(c_0_54,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_55,negated_conjecture,
    ( esk52_0 = nil
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( esk51_0 = nil
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_30])]) ).

cnf(c_0_57,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk51_0,nil)
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_22]),c_0_26])]) ).

cnf(c_0_58,negated_conjecture,
    ( nil = esk50_0
    | frontsegP(esk51_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_59,negated_conjecture,
    ( neq(esk51_0,nil)
    | esk50_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_19]),c_0_17]) ).

cnf(c_0_60,negated_conjecture,
    esk51_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_55]),c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( esk50_0 != nil
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_30])]) ).

cnf(c_0_62,negated_conjecture,
    ( app(esk52_0,esk6_2(esk51_0,esk52_0)) = esk51_0
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_58]),c_0_30])]),c_0_27]) ).

cnf(c_0_63,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk6_2(esk51_0,esk52_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_58]),c_0_30])]),c_0_27]) ).

fof(c_0_64,plain,
    ! [X318,X319] :
      ( ( ~ neq(X318,X319)
        | X318 != X319
        | ~ ssList(X319)
        | ~ ssList(X318) )
      & ( X318 = X319
        | neq(X318,X319)
        | ~ ssList(X319)
        | ~ ssList(X318) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_65,negated_conjecture,
    ( nil = esk50_0
    | neq(esk52_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_66,negated_conjecture,
    esk50_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    ( esk50_0 = nil
    | esk52_0 = nil
    | esk51_0 != nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_62]),c_0_27]),c_0_63]) ).

cnf(c_0_68,plain,
    ( ~ neq(X1,X2)
    | X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    neq(esk52_0,nil),
    inference(sr,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    esk52_0 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_60])]),c_0_66]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X1)
    | ~ neq(X1,X1) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC053+1 : TPTP v9.2.1. Released v2.4.0.
% 0.11/0.13  % 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
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue May  5 04:18:32 EDT 2026
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % start to proof: theBenchmark
% 1.60/1.80  % Version  : CSE_E---1.7
% 1.60/1.80  % Problem  : theBenchmark.p
% 1.60/1.80  % SZS status Theorem for theBenchmark.p
% 1.60/1.80  % SZS output start CNFRefutation
% See solution above
% 1.60/1.80  % Total time : 1.372s
%------------------------------------------------------------------------------