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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV033+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n015.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 05:20:40 PM UTC 2026

% Result   : Theorem 29.76s 17.79s
% Output   : CNFRefutation 29.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   95 (  27 unt;   0 def)
%            Number of atoms       :  294 ( 116 equ)
%            Maximal formula atoms :   56 (   3 avg)
%            Number of connectives :  282 (  83   ~; 136   |;  46   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-3 aty)
%            Number of variables   :   76 (   3 sgn  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0045,conjecture,
    ( ( init = init
      & leq(n0,pv1376)
      & leq(pv1376,n3)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,minus(pv1376,n1)) )
         => a_select2(s_values7_init,X4) = init ) )
   => ( init = init
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => ! [X21] :
              ( ( leq(n0,X21)
                & leq(X21,n3) )
             => a_select3(simplex7_init,X21,X20) = init ) )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,minus(plus(n1,pv1376),n1)) )
         => a_select2(tptp_update2(s_values7_init,pv1376,init),X22) = init ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0045) ).

fof(sel2_update_2,axiom,
    ! [X5,X7,X1,X17,X25] :
      ( ( X5 != X7
        & a_select2(X1,X7) = X17 )
     => a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

fof(leq_gt_pred,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(pred_succ,axiom,
    ! [X1] : pred(succ(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

fof(leq_gt2,axiom,
    ! [X1,X2] :
      ( ( leq(X1,X2)
        & X1 != X2 )
     => gt(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).

fof(sel2_update_1,axiom,
    ! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(c_0_9,negated_conjecture,
    ~ ( ( init = init
        & leq(n0,pv1376)
        & leq(pv1376,n3)
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,n2) )
           => ! [X18] :
                ( ( leq(n0,X18)
                  & leq(X18,n3) )
               => a_select3(simplex7_init,X18,X14) = init ) )
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,minus(pv1376,n1)) )
           => a_select2(s_values7_init,X4) = init ) )
     => ( init = init
        & ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n2) )
           => ! [X21] :
                ( ( leq(n0,X21)
                  & leq(X21,n3) )
               => a_select3(simplex7_init,X21,X20) = init ) )
        & ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,minus(plus(n1,pv1376),n1)) )
           => a_select2(tptp_update2(s_values7_init,pv1376,init),X22) = init ) ) ),
    inference(assume_negation,[status(cth)],[gauss_init_0045]) ).

fof(c_0_10,negated_conjecture,
    ! [X360,X361,X362] :
      ( init = init
      & leq(n0,pv1376)
      & leq(pv1376,n3)
      & ( ~ leq(n0,X360)
        | ~ leq(X360,n2)
        | ~ leq(n0,X361)
        | ~ leq(X361,n3)
        | a_select3(simplex7_init,X361,X360) = init )
      & ( ~ leq(n0,X362)
        | ~ leq(X362,minus(pv1376,n1))
        | a_select2(s_values7_init,X362) = init )
      & ( leq(n0,esk26_0)
        | leq(n0,esk24_0)
        | init != init )
      & ( leq(esk26_0,minus(plus(n1,pv1376),n1))
        | leq(n0,esk24_0)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
        | leq(n0,esk24_0)
        | init != init )
      & ( leq(n0,esk26_0)
        | leq(esk24_0,n2)
        | init != init )
      & ( leq(esk26_0,minus(plus(n1,pv1376),n1))
        | leq(esk24_0,n2)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
        | leq(esk24_0,n2)
        | init != init )
      & ( leq(n0,esk26_0)
        | leq(n0,esk25_0)
        | init != init )
      & ( leq(esk26_0,minus(plus(n1,pv1376),n1))
        | leq(n0,esk25_0)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
        | leq(n0,esk25_0)
        | init != init )
      & ( leq(n0,esk26_0)
        | leq(esk25_0,n3)
        | init != init )
      & ( leq(esk26_0,minus(plus(n1,pv1376),n1))
        | leq(esk25_0,n3)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
        | leq(esk25_0,n3)
        | init != init )
      & ( leq(n0,esk26_0)
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init )
      & ( leq(esk26_0,minus(plus(n1,pv1376),n1))
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init ) ),
    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])])])])]) ).

fof(c_0_11,plain,
    ! [X350,X351,X352,X353,X354] :
      ( X350 = X351
      | a_select2(X352,X351) != X353
      | a_select2(tptp_update2(X352,X350,X354),X351) = X353 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).

fof(c_0_12,plain,
    ! [X220,X221] :
      ( ( ~ leq(X220,pred(X221))
        | gt(X221,X220) )
      & ( ~ gt(X221,X220)
        | leq(X220,pred(X221)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).

fof(c_0_13,plain,
    ! [X319] : minus(X319,n1) = pred(X319),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

fof(c_0_14,plain,
    ! [X320] : pred(succ(X320)) = X320,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

fof(c_0_15,plain,
    ! [X309] : plus(X309,n1) = succ(X309),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

fof(c_0_16,plain,
    ! [X310] : plus(n1,X310) = succ(X310),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

cnf(c_0_17,negated_conjecture,
    ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X5),X2) = X4
    | a_select2(X3,X2) != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( leq(X2,pred(X1))
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk24_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk25_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_24,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_27,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,negated_conjecture,
    ( a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
    inference(cn,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_31,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv1376,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_32,plain,
    ( leq(X2,minus(X1,n1))
    | ~ gt(X1,X2) ),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_33,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[c_0_21]) ).

cnf(c_0_34,negated_conjecture,
    ( a_select3(simplex7_init,X2,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ leq(n0,X2)
    | ~ leq(X2,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_35,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[c_0_23]) ).

cnf(c_0_37,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2) ),
    inference(cn,[status(thm)],[c_0_24]) ).

cnf(c_0_38,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3) ),
    inference(cn,[status(thm)],[c_0_25]) ).

cnf(c_0_39,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,plain,
    minus(plus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_20]) ).

cnf(c_0_41,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_42,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | leq(n0,esk24_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | leq(n0,esk25_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_45,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | leq(esk24_0,n2)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | leq(esk25_0,n3)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_47,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_48,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_49,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_50,negated_conjecture,
    ( esk26_0 = pv1376
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_51,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ gt(pv1376,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_52,negated_conjecture,
    leq(n0,esk26_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).

fof(c_0_53,plain,
    ! [X218,X219] :
      ( ~ leq(X218,X219)
      | X218 = X219
      | gt(X219,X218) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).

cnf(c_0_54,negated_conjecture,
    ( leq(esk26_0,minus(plus(n1,pv1376),n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[c_0_39]) ).

cnf(c_0_55,plain,
    minus(plus(n1,X1),n1) = X1,
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
    inference(cn,[status(thm)],[c_0_42]) ).

cnf(c_0_57,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_43]) ).

cnf(c_0_58,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_44]) ).

cnf(c_0_59,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_45]) ).

cnf(c_0_60,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_46]) ).

cnf(c_0_61,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
    inference(cn,[status(thm)],[c_0_47]) ).

cnf(c_0_62,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
    inference(cn,[status(thm)],[c_0_48]) ).

cnf(c_0_63,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
    inference(cn,[status(thm)],[c_0_49]) ).

cnf(c_0_64,negated_conjecture,
    ( esk26_0 = pv1376
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | ~ gt(pv1376,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_65,plain,
    ( X1 = X2
    | gt(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_66,negated_conjecture,
    ( leq(esk26_0,pv1376)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_67,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(spm,[status(thm)],[c_0_56,c_0_30]) ).

cnf(c_0_68,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(esk26_0,pv1376) ),
    inference(rw,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_69,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(esk26_0,pv1376) ),
    inference(rw,[status(thm)],[c_0_58,c_0_55]) ).

cnf(c_0_70,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(esk26_0,pv1376) ),
    inference(rw,[status(thm)],[c_0_59,c_0_55]) ).

cnf(c_0_71,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(esk26_0,pv1376) ),
    inference(rw,[status(thm)],[c_0_60,c_0_55]) ).

cnf(c_0_72,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(spm,[status(thm)],[c_0_61,c_0_30]) ).

cnf(c_0_73,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(spm,[status(thm)],[c_0_62,c_0_30]) ).

cnf(c_0_74,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(spm,[status(thm)],[c_0_63,c_0_30]) ).

cnf(c_0_75,negated_conjecture,
    ( esk26_0 = pv1376
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_76,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk25_0,n3)
    | ~ gt(pv1376,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_51]),c_0_52])]) ).

cnf(c_0_77,negated_conjecture,
    leq(esk26_0,pv1376),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_34]),c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk24_0)
    | ~ gt(pv1376,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_51]),c_0_52])]) ).

cnf(c_0_79,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk25_0)
    | ~ gt(pv1376,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_51]),c_0_52])]) ).

cnf(c_0_80,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk24_0,n2)
    | ~ gt(pv1376,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_51]),c_0_52])]) ).

cnf(c_0_81,negated_conjecture,
    ( esk26_0 = pv1376
    | ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_34]) ).

cnf(c_0_82,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk25_0,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_65]),c_0_77])]) ).

cnf(c_0_83,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_65]),c_0_77])]) ).

cnf(c_0_84,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(n0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_65]),c_0_77])]) ).

cnf(c_0_85,negated_conjecture,
    ( esk26_0 = pv1376
    | leq(esk24_0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_65]),c_0_77])]) ).

fof(c_0_86,plain,
    ! [X347,X348,X349] : a_select2(tptp_update2(X347,X348,X349),X348) = X349,
    inference(variable_rename,[status(thm)],[sel2_update_1]) ).

cnf(c_0_87,negated_conjecture,
    esk26_0 = pv1376,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_88,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    a_select3(simplex7_init,esk25_0,esk24_0) != init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_87]),c_0_88])]) ).

cnf(c_0_90,negated_conjecture,
    leq(esk25_0,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_87]),c_0_88])]) ).

cnf(c_0_91,negated_conjecture,
    leq(esk24_0,n2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_87]),c_0_88])]) ).

cnf(c_0_92,negated_conjecture,
    leq(n0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_87]),c_0_88])]) ).

cnf(c_0_93,negated_conjecture,
    leq(n0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_87]),c_0_88])]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_34]),c_0_90]),c_0_91])]),c_0_92]),c_0_93])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV033+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n015.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   : Tue May  5 04:54:32 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 29.76/17.79  % Version  : CSE_E---1.7
% 29.76/17.79  % Problem  : theBenchmark.p
% 29.76/17.79  % SZS status Theorem for theBenchmark.p
% 29.76/17.79  % SZS output start CNFRefutation
% See solution above
% 29.86/17.89  % Total time : 13.399s
%------------------------------------------------------------------------------