TSTP Solution File: SWV033+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV033+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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  : 600s
% DateTime : Wed Jul 20 18:14:53 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  190 (  61 unt;   0 def)
%            Number of atoms       :  524 ( 245 equ)
%            Maximal formula atoms :   56 (   2 avg)
%            Number of connectives :  464 ( 130   ~; 257   |;  52   &)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   3 avg)
%            Maximal term depth    :    4 (   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   :  164 (   9 sgn  91   !;   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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gauss_init_0045) ).

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

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

fof(finite_domain_3,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n3) )
     => ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_3) ).

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

fof(gt_1_0,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gt_1_0) ).

fof(finite_domain_1,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n1) )
     => ( X1 = n0
        | X1 = n1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_1) ).

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(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_1) ).

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(transitivity_gt,axiom,
    ! [X1,X2,X3] :
      ( ( gt(X1,X2)
        & gt(X2,X3) )
     => gt(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).

fof(successor_2,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_2) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gt_2_0) ).

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

fof(successor_3,axiom,
    succ(succ(succ(n0))) = n3,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

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

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

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_25,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_26,negated_conjecture,
    ! [X23,X24,X25] :
      ( init = init
      & leq(n0,pv1376)
      & leq(pv1376,n3)
      & ( ~ leq(n0,X23)
        | ~ leq(X23,n2)
        | ~ leq(n0,X24)
        | ~ leq(X24,n3)
        | a_select3(simplex7_init,X24,X23) = init )
      & ( ~ leq(n0,X25)
        | ~ leq(X25,minus(pv1376,n1))
        | a_select2(s_values7_init,X25) = init )
      & ( leq(n0,esk3_0)
        | leq(n0,esk1_0)
        | init != init )
      & ( leq(esk3_0,minus(plus(n1,pv1376),n1))
        | leq(n0,esk1_0)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init
        | leq(n0,esk1_0)
        | init != init )
      & ( leq(n0,esk3_0)
        | leq(esk1_0,n2)
        | init != init )
      & ( leq(esk3_0,minus(plus(n1,pv1376),n1))
        | leq(esk1_0,n2)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init
        | leq(esk1_0,n2)
        | init != init )
      & ( leq(n0,esk3_0)
        | leq(n0,esk2_0)
        | init != init )
      & ( leq(esk3_0,minus(plus(n1,pv1376),n1))
        | leq(n0,esk2_0)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init
        | leq(n0,esk2_0)
        | init != init )
      & ( leq(n0,esk3_0)
        | leq(esk2_0,n3)
        | init != init )
      & ( leq(esk3_0,minus(plus(n1,pv1376),n1))
        | leq(esk2_0,n3)
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init
        | leq(esk2_0,n3)
        | init != init )
      & ( leq(n0,esk3_0)
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init )
      & ( leq(esk3_0,minus(plus(n1,pv1376),n1))
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init )
      & ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])]) ).

fof(c_0_27,plain,
    ! [X2] : plus(n1,X2) = succ(X2),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

fof(c_0_28,plain,
    ! [X2] : plus(X2,n1) = succ(X2),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

fof(c_0_29,plain,
    ! [X2] : pred(succ(X2)) = X2,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

fof(c_0_30,plain,
    ! [X2] : minus(X2,n1) = pred(X2),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | X2 = n0
      | X2 = n1
      | X2 = n2
      | X2 = n3 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).

cnf(c_0_32,negated_conjecture,
    ( leq(esk3_0,minus(plus(n1,pv1376),n1))
    | $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_37,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ leq(X3,pred(X4))
        | gt(X4,X3) )
      & ( ~ gt(X4,X3)
        | leq(X3,pred(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])])]) ).

cnf(c_0_38,plain,
    ( X1 = n3
    | X1 = n2
    | X1 = n1
    | X1 = n0
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    leq(pv1376,n3),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,negated_conjecture,
    leq(n0,pv1376),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(esk3_0,minus(plus(n1,pv1376),n1))
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_43,plain,
    minus(plus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34]),c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(esk3_0,minus(plus(n1,pv1376),n1))
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_45,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,minus(plus(n1,pv1376),n1))
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(esk3_0,minus(plus(n1,pv1376),n1))
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_47,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(esk3_0,minus(plus(n1,pv1376),n1))
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_48,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ leq(X3,X4)
        | gt(succ(X4),X3) )
      & ( ~ gt(succ(X4),X3)
        | leq(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])])])]) ).

cnf(c_0_49,plain,
    ( leq(X1,pred(X2))
    | ~ gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_50,plain,
    gt(n1,n0),
    inference(split_conjunct,[status(thm)],[gt_1_0]) ).

cnf(c_0_51,negated_conjecture,
    ( n0 = pv1376
    | n1 = pv1376
    | n2 = pv1376
    | n3 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n1)
      | X2 = n0
      | X2 = n1 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).

cnf(c_0_53,negated_conjecture,
    ( leq(esk3_0,pv1376)
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_54,negated_conjecture,
    ( a_select3(simplex7_init,X1,X2) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1)
    | ~ leq(X2,n2)
    | ~ leq(n0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_55,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(esk3_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(esk3_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_46]) ).

cnf(c_0_58,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(esk3_0,minus(plus(n1,pv1376),n1)) ),
    inference(cn,[status(thm)],[c_0_47]) ).

cnf(c_0_59,negated_conjecture,
    ( leq(n0,esk3_0)
    | $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_60,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(n0,esk3_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_61,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_62,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(n0,esk3_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_63,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(n0,esk3_0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_64,negated_conjecture,
    ( $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_65,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_66,negated_conjecture,
    ( leq(n0,esk1_0)
    | $false
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_67,negated_conjecture,
    ( leq(esk2_0,n3)
    | $false
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_68,negated_conjecture,
    ( leq(esk1_0,n2)
    | $false
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_69,plain,
    ! [X26,X27,X28,X29,X30] :
      ( X26 = X27
      | a_select2(X28,X27) != X29
      | a_select2(tptp_update2(X28,X26,X30),X27) = X29 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])])])]) ).

cnf(c_0_70,plain,
    ( gt(succ(X1),X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_71,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_72,plain,
    ( leq(X1,minus(X2,n1))
    | ~ gt(X2,X1) ),
    inference(rw,[status(thm)],[c_0_49,c_0_36]) ).

cnf(c_0_73,negated_conjecture,
    ( n3 = pv1376
    | n2 = pv1376
    | n0 = pv1376
    | gt(pv1376,n0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_74,plain,
    ! [X2] : leq(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_75,plain,
    ( X1 = n1
    | X1 = n0
    | ~ leq(X1,n1)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_76,negated_conjecture,
    ( leq(esk3_0,pv1376)
    | ~ leq(esk1_0,n2)
    | ~ leq(esk2_0,n3)
    | ~ leq(n0,esk1_0)
    | ~ leq(n0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_77,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(esk3_0,pv1376) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_42]),c_0_43]) ).

cnf(c_0_78,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,pv1376) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_42]),c_0_43]) ).

cnf(c_0_79,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(esk3_0,pv1376) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_42]),c_0_43]) ).

cnf(c_0_80,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(esk3_0,pv1376) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_42]),c_0_43]) ).

cnf(c_0_81,negated_conjecture,
    ( leq(n0,esk3_0)
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(cn,[status(thm)],[c_0_59]) ).

cnf(c_0_82,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(n0,esk3_0) ),
    inference(cn,[status(thm)],[c_0_60]) ).

cnf(c_0_83,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0) ),
    inference(cn,[status(thm)],[c_0_61]) ).

cnf(c_0_84,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk2_0,n3) ),
    inference(cn,[status(thm)],[c_0_62]) ).

cnf(c_0_85,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk1_0,n2) ),
    inference(cn,[status(thm)],[c_0_63]) ).

cnf(c_0_86,negated_conjecture,
    ( a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(cn,[status(thm)],[c_0_64]) ).

cnf(c_0_87,negated_conjecture,
    ( leq(n0,esk2_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(cn,[status(thm)],[c_0_65]) ).

cnf(c_0_88,negated_conjecture,
    ( leq(n0,esk1_0)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(cn,[status(thm)],[c_0_66]) ).

cnf(c_0_89,negated_conjecture,
    ( leq(esk2_0,n3)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(cn,[status(thm)],[c_0_67]) ).

cnf(c_0_90,negated_conjecture,
    ( leq(esk1_0,n2)
    | a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init ),
    inference(cn,[status(thm)],[c_0_68]) ).

cnf(c_0_91,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = X5
    | X2 = X4
    | a_select2(X1,X4) != X5 ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

fof(c_0_92,plain,
    ! [X4,X5,X6] :
      ( ~ leq(X4,X5)
      | ~ leq(X5,X6)
      | leq(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

fof(c_0_93,plain,
    ! [X4,X5,X6] :
      ( ~ gt(X4,X5)
      | ~ gt(X5,X6)
      | gt(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).

cnf(c_0_94,plain,
    succ(succ(n0)) = n2,
    inference(split_conjunct,[status(thm)],[successor_2]) ).

fof(c_0_95,plain,
    ! [X2] : ~ gt(X2,X2),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[irreflexivity_gt])]) ).

cnf(c_0_96,plain,
    ( gt(plus(X1,n1),X2)
    | ~ leq(X2,X1) ),
    inference(rw,[status(thm)],[c_0_70,c_0_34]) ).

cnf(c_0_97,plain,
    plus(n0,n1) = n1,
    inference(rw,[status(thm)],[c_0_71,c_0_34]) ).

cnf(c_0_98,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(X1,minus(pv1376,n1))
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_99,negated_conjecture,
    ( n0 = pv1376
    | n2 = pv1376
    | n3 = pv1376
    | leq(n0,minus(pv1376,n1)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_100,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_101,negated_conjecture,
    ( n3 = pv1376
    | n2 = pv1376
    | n0 = pv1376
    | X1 = n0
    | X1 = pv1376
    | ~ leq(X1,pv1376)
    | ~ leq(n0,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_51]) ).

cnf(c_0_102,negated_conjecture,
    leq(esk3_0,pv1376),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]),c_0_80]) ).

cnf(c_0_103,negated_conjecture,
    leq(n0,esk3_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_82]),c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_104,negated_conjecture,
    a_select2(tptp_update2(s_values7_init,pv1376,init),esk3_0) != init,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_54]),c_0_87]),c_0_88]),c_0_89]),c_0_90]) ).

cnf(c_0_105,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_91]) ).

cnf(c_0_106,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_107,plain,
    ( gt(X1,X2)
    | ~ leq(X2,pred(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_108,plain,
    ( gt(X1,X2)
    | ~ gt(X3,X2)
    | ~ gt(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_109,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

fof(c_0_110,plain,
    ! [X3,X4] :
      ( ~ leq(succ(X3),X4)
      | gt(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).

cnf(c_0_111,plain,
    succ(succ(succ(n0))) = n3,
    inference(split_conjunct,[status(thm)],[successor_3]) ).

cnf(c_0_112,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_34]),c_0_34]) ).

cnf(c_0_113,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_114,plain,
    ( gt(n1,X1)
    | ~ leq(X1,n0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_115,negated_conjecture,
    ( a_select2(s_values7_init,n0) = init
    | n3 = pv1376
    | n2 = pv1376
    | n0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).

cnf(c_0_116,negated_conjecture,
    ( esk3_0 = pv1376
    | n0 = esk3_0
    | n0 = pv1376
    | n2 = pv1376
    | n3 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).

cnf(c_0_117,negated_conjecture,
    ( esk3_0 = pv1376
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_118,negated_conjecture,
    ( leq(X1,n3)
    | ~ leq(X1,pv1376) ),
    inference(spm,[status(thm)],[c_0_106,c_0_39]) ).

fof(c_0_119,plain,
    ! [X3,X4] :
      ( ~ gt(X4,X3)
      | leq(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).

cnf(c_0_120,plain,
    ( gt(X1,X2)
    | ~ leq(X2,minus(X1,n1)) ),
    inference(rw,[status(thm)],[c_0_107,c_0_36]) ).

fof(c_0_121,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ leq(succ(X3),succ(X4))
        | leq(X3,X4) )
      & ( ~ leq(X3,X4)
        | leq(succ(X3),succ(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_succ])])])]) ).

fof(c_0_122,plain,
    ! [X2] : succ(pred(X2)) = X2,
    inference(variable_rename,[status(thm)],[succ_pred]) ).

cnf(c_0_123,plain,
    ( gt(X1,n0)
    | ~ gt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_124,plain,
    ( gt(X1,X2)
    | ~ leq(succ(X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_125,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_34]),c_0_34]),c_0_34]) ).

cnf(c_0_126,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_112,c_0_97]) ).

cnf(c_0_127,plain,
    ~ leq(n1,n0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_128,negated_conjecture,
    ( n0 = pv1376
    | esk3_0 = pv1376
    | n2 = pv1376
    | n3 = pv1376 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    ( X1 = n0
    | X1 = n1
    | X1 = n2
    | X1 = n3
    | ~ leq(n0,X1)
    | ~ leq(X1,pv1376) ),
    inference(spm,[status(thm)],[c_0_38,c_0_118]) ).

cnf(c_0_130,plain,
    ( leq(X1,X2)
    | ~ gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_131,plain,
    gt(X1,minus(X1,n1)),
    inference(spm,[status(thm)],[c_0_120,c_0_100]) ).

cnf(c_0_132,plain,
    ( leq(X1,X2)
    | ~ leq(succ(X1),succ(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_133,plain,
    succ(pred(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_134,plain,
    ~ gt(n0,n2),
    inference(spm,[status(thm)],[c_0_113,c_0_123]) ).

cnf(c_0_135,plain,
    ( gt(X1,X2)
    | ~ leq(plus(X2,n1),X1) ),
    inference(rw,[status(thm)],[c_0_124,c_0_34]) ).

cnf(c_0_136,plain,
    plus(n2,n1) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_97]),c_0_126]) ).

cnf(c_0_137,negated_conjecture,
    ( n3 = pv1376
    | n2 = pv1376
    | esk3_0 = pv1376
    | ~ leq(n1,pv1376) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_138,negated_conjecture,
    ( n3 = esk3_0
    | n2 = esk3_0
    | n1 = esk3_0
    | n0 = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_103]),c_0_102])]) ).

cnf(c_0_139,plain,
    leq(minus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_140,plain,
    ( leq(X1,X2)
    | ~ leq(plus(X1,n1),plus(X2,n1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_34]),c_0_34]) ).

cnf(c_0_141,plain,
    plus(minus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_34]),c_0_36]) ).

cnf(c_0_142,plain,
    ~ leq(n3,n0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_143,negated_conjecture,
    ( n0 = esk3_0
    | n2 = esk3_0
    | n3 = esk3_0
    | esk3_0 = pv1376
    | n2 = pv1376
    | n3 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_102])]) ).

cnf(c_0_144,plain,
    ( gt(X1,n0)
    | ~ gt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_50]) ).

cnf(c_0_145,plain,
    ( leq(X1,X2)
    | ~ leq(X1,minus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_106,c_0_139]) ).

cnf(c_0_146,plain,
    ( leq(n1,X1)
    | ~ leq(n2,plus(X1,n1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_42]),c_0_126]) ).

cnf(c_0_147,plain,
    plus(n1,minus(X1,n1)) = X1,
    inference(rw,[status(thm)],[c_0_141,c_0_42]) ).

cnf(c_0_148,negated_conjecture,
    ( n3 = pv1376
    | n2 = pv1376
    | esk3_0 = pv1376
    | ~ leq(n3,pv1376) ),
    inference(spm,[status(thm)],[c_0_142,c_0_128]) ).

cnf(c_0_149,negated_conjecture,
    ( n3 = esk3_0
    | n2 = esk3_0
    | n3 = pv1376
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(spm,[status(thm)],[c_0_128,c_0_143]) ).

cnf(c_0_150,plain,
    ( gt(X1,n0)
    | ~ leq(n2,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_135]),c_0_126]) ).

cnf(c_0_151,plain,
    ( leq(n1,X1)
    | ~ leq(n2,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_42]),c_0_147]) ).

cnf(c_0_152,plain,
    leq(n0,n1),
    inference(spm,[status(thm)],[c_0_130,c_0_50]) ).

cnf(c_0_153,plain,
    minus(n3,n1) = n2,
    inference(spm,[status(thm)],[c_0_43,c_0_136]) ).

cnf(c_0_154,negated_conjecture,
    ( n3 = pv1376
    | n2 = esk3_0
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_102])]) ).

cnf(c_0_155,plain,
    ( leq(n0,X1)
    | ~ leq(n2,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    ( a_select2(s_values7_init,n1) = init
    | ~ leq(n2,minus(pv1376,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_151]),c_0_152])]) ).

cnf(c_0_157,negated_conjecture,
    ( minus(pv1376,n1) = n2
    | esk3_0 = pv1376
    | n2 = pv1376
    | n2 = esk3_0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

fof(c_0_158,plain,
    ! [X3,X4] :
      ( ~ leq(X3,X4)
      | X3 = X4
      | gt(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).

cnf(c_0_159,negated_conjecture,
    ( a_select2(s_values7_init,n0) = init
    | ~ leq(n2,minus(pv1376,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_155]),c_0_100])]) ).

cnf(c_0_160,negated_conjecture,
    ( a_select2(s_values7_init,n1) = init
    | n2 = esk3_0
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_100])]) ).

cnf(c_0_161,plain,
    ( gt(X1,X2)
    | X2 = X1
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_162,negated_conjecture,
    ( a_select2(s_values7_init,n0) = init
    | n2 = esk3_0
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_157]),c_0_100])]) ).

cnf(c_0_163,negated_conjecture,
    ( n0 = esk3_0
    | n3 = esk3_0
    | esk3_0 = pv1376
    | n2 = pv1376
    | n2 = esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_138]),c_0_117]) ).

cnf(c_0_164,plain,
    ( n0 = n2
    | ~ leq(n2,n0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_161]) ).

cnf(c_0_165,negated_conjecture,
    ( n3 = esk3_0
    | esk3_0 = pv1376
    | n2 = pv1376
    | n2 = esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_117]) ).

cnf(c_0_166,negated_conjecture,
    ( n3 = pv1376
    | esk3_0 = pv1376
    | n2 = pv1376
    | ~ leq(n2,pv1376) ),
    inference(spm,[status(thm)],[c_0_164,c_0_128]) ).

cnf(c_0_167,negated_conjecture,
    ( n2 = esk3_0
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_165]),c_0_102])]) ).

cnf(c_0_168,negated_conjecture,
    ( n2 = pv1376
    | esk3_0 = pv1376
    | n3 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_102])]) ).

cnf(c_0_169,negated_conjecture,
    ( a_select2(s_values7_init,minus(pv1376,n1)) = init
    | ~ leq(n0,minus(pv1376,n1)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_100]) ).

cnf(c_0_170,negated_conjecture,
    ( minus(pv1376,n1) = n2
    | esk3_0 = pv1376
    | n2 = pv1376 ),
    inference(spm,[status(thm)],[c_0_153,c_0_168]) ).

cnf(c_0_171,plain,
    leq(n0,n2),
    inference(spm,[status(thm)],[c_0_130,c_0_109]) ).

cnf(c_0_172,negated_conjecture,
    ( a_select2(s_values7_init,n2) = init
    | n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171])]) ).

cnf(c_0_173,plain,
    minus(n2,n1) = n1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_126]) ).

cnf(c_0_174,negated_conjecture,
    ( n2 = pv1376
    | esk3_0 = pv1376 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_167]),c_0_117]) ).

cnf(c_0_175,negated_conjecture,
    ( minus(pv1376,n1) = n1
    | esk3_0 = pv1376 ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_176,plain,
    ( gt(n3,X1)
    | ~ leq(X1,n2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_136]) ).

cnf(c_0_177,negated_conjecture,
    ( a_select2(s_values7_init,minus(minus(pv1376,n1),n1)) = init
    | ~ leq(n0,minus(minus(pv1376,n1),n1)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_139]) ).

cnf(c_0_178,plain,
    minus(n1,n1) = n0,
    inference(spm,[status(thm)],[c_0_43,c_0_97]) ).

cnf(c_0_179,negated_conjecture,
    ( a_select2(s_values7_init,n1) = init
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_175]),c_0_152])]) ).

cnf(c_0_180,plain,
    ~ leq(n3,n2),
    inference(spm,[status(thm)],[c_0_113,c_0_176]) ).

cnf(c_0_181,negated_conjecture,
    ( a_select2(s_values7_init,n0) = init
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_175]),c_0_178]),c_0_178]),c_0_100])]) ).

cnf(c_0_182,negated_conjecture,
    ( n0 = esk3_0
    | n2 = esk3_0
    | n3 = esk3_0
    | esk3_0 = pv1376 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_138]),c_0_117]) ).

cnf(c_0_183,negated_conjecture,
    ( esk3_0 = pv1376
    | ~ leq(n3,pv1376) ),
    inference(spm,[status(thm)],[c_0_180,c_0_174]) ).

cnf(c_0_184,negated_conjecture,
    ( n3 = esk3_0
    | n2 = esk3_0
    | esk3_0 = pv1376 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_117]) ).

cnf(c_0_185,negated_conjecture,
    ( n2 = esk3_0
    | esk3_0 = pv1376 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_102])]) ).

fof(c_0_186,plain,
    ! [X18,X19,X20] : a_select2(tptp_update2(X18,X19,X20),X19) = X20,
    inference(variable_rename,[status(thm)],[sel2_update_1]) ).

cnf(c_0_187,negated_conjecture,
    esk3_0 = pv1376,
    inference(spm,[status(thm)],[c_0_174,c_0_185]) ).

cnf(c_0_188,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_189,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_187]),c_0_188])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV033+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 14:50:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.021 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 190
% 0.23/1.41  # Proof object clause steps            : 144
% 0.23/1.41  # Proof object formula steps           : 46
% 0.23/1.41  # Proof object conjectures             : 86
% 0.23/1.41  # Proof object clause conjectures      : 83
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 44
% 0.23/1.41  # Proof object initial formulas used   : 25
% 0.23/1.41  # Proof object generating inferences   : 65
% 0.23/1.41  # Proof object simplifying inferences  : 106
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 85
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 21
% 0.23/1.41  # Initial clauses                      : 88
% 0.23/1.41  # Removed in clause preprocessing      : 3
% 0.23/1.41  # Initial clauses in saturation        : 85
% 0.23/1.41  # Processed clauses                    : 2330
% 0.23/1.41  # ...of these trivial                  : 63
% 0.23/1.41  # ...subsumed                          : 1359
% 0.23/1.41  # ...remaining for further processing  : 908
% 0.23/1.41  # Other redundant clauses eliminated   : 2
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 207
% 0.23/1.41  # Backward-rewritten                   : 140
% 0.23/1.41  # Generated clauses                    : 13326
% 0.23/1.41  # ...of the previous two non-trivial   : 10112
% 0.23/1.41  # Contextual simplify-reflections      : 470
% 0.23/1.41  # Paramodulations                      : 13311
% 0.23/1.41  # Factorizations                       : 11
% 0.23/1.41  # Equation resolutions                 : 4
% 0.23/1.41  # Current number of processed clauses  : 561
% 0.23/1.41  #    Positive orientable unit clauses  : 116
% 0.23/1.41  #    Positive unorientable unit clauses: 6
% 0.23/1.41  #    Negative unit clauses             : 50
% 0.23/1.41  #    Non-unit-clauses                  : 389
% 0.23/1.41  # Current number of unprocessed clauses: 3391
% 0.23/1.41  # ...number of literals in the above   : 12049
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 349
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 26466
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 8006
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 1496
% 0.23/1.41  # Unit Clause-clause subsumption calls : 1932
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 54
% 0.23/1.41  # BW rewrite match successes           : 50
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 126080
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.423 s
% 0.23/1.41  # System time              : 0.005 s
% 0.23/1.41  # Total time               : 0.428 s
% 0.23/1.41  # Maximum resident set size: 8228 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------