TSTP Solution File: SWV042+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 03:13:21 EDT 2024

% Result   : Theorem 4.15s 1.17s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).

fof(f29,axiom,
    ! [X0] : succ(X0) = plus(X0,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).

fof(f31,axiom,
    ! [X0] : plus(X0,n2) = succ(succ(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_2_r) ).

fof(f32,axiom,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_2_l) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X19] :
          ( ( leq(X19,minus(plus(n1,n2),n1))
            & leq(n0,X19) )
         => init = a_select2(s_center7_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n3)
            & leq(n0,X3) )
         => init = a_select2(s_values7_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n2)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n3)
                & leq(n0,X17) )
             => a_select3(simplex7_init,X17,X13) = init ) ) )
   => ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X28] :
          ( ( leq(X28,n2)
            & leq(n0,X28) )
         => init = a_select2(s_center7_init,X28) )
      & ! [X27] :
          ( ( leq(X27,n3)
            & leq(n0,X27) )
         => init = a_select2(s_values7_init,X27) )
      & ! [X20] :
          ( ( leq(X20,n2)
            & leq(n0,X20) )
         => ! [X21] :
              ( ( leq(X21,n3)
                & leq(n0,X21) )
             => init = a_select3(simplex7_init,X21,X20) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0081) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X19] :
            ( ( leq(X19,minus(plus(n1,n2),n1))
              & leq(n0,X19) )
           => init = a_select2(s_center7_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n3)
              & leq(n0,X3) )
           => init = a_select2(s_values7_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n2)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n3)
                  & leq(n0,X17) )
               => a_select3(simplex7_init,X17,X13) = init ) ) )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X28] :
            ( ( leq(X28,n2)
              & leq(n0,X28) )
           => init = a_select2(s_center7_init,X28) )
        & ! [X27] :
            ( ( leq(X27,n3)
              & leq(n0,X27) )
           => init = a_select2(s_values7_init,X27) )
        & ! [X20] :
            ( ( leq(X20,n2)
              & leq(n0,X20) )
           => ! [X21] :
                ( ( leq(X21,n3)
                  & leq(n0,X21) )
               => init = a_select3(simplex7_init,X21,X20) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f84,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).

fof(f85,axiom,
    n2 = succ(succ(n0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).

fof(f86,axiom,
    n3 = succ(succ(succ(n0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).

fof(f107,plain,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X0] :
            ( ( leq(X0,minus(plus(n1,n2),n1))
              & leq(n0,X0) )
           => init = a_select2(s_center7_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n3)
              & leq(n0,X1) )
           => init = a_select2(s_values7_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n2)
              & leq(n0,X2) )
           => ! [X3] :
                ( ( leq(X3,n3)
                  & leq(n0,X3) )
               => init = a_select3(simplex7_init,X3,X2) ) ) )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X4] :
            ( ( leq(X4,n2)
              & leq(n0,X4) )
           => init = a_select2(s_center7_init,X4) )
        & ! [X5] :
            ( ( leq(X5,n3)
              & leq(n0,X5) )
           => init = a_select2(s_values7_init,X5) )
        & ! [X6] :
            ( ( leq(X6,n2)
              & leq(n0,X6) )
           => ! [X7] :
                ( ( leq(X7,n3)
                  & leq(n0,X7) )
               => init = a_select3(simplex7_init,X7,X6) ) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f149,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | ? [X5] :
          ( init != a_select2(s_values7_init,X5)
          & leq(X5,n3)
          & leq(n0,X5) )
      | ? [X6] :
          ( ? [X7] :
              ( init != a_select3(simplex7_init,X7,X6)
              & leq(X7,n3)
              & leq(n0,X7) )
          & leq(X6,n2)
          & leq(n0,X6) ) )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f150,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | ? [X5] :
          ( init != a_select2(s_values7_init,X5)
          & leq(X5,n3)
          & leq(n0,X5) )
      | ? [X6] :
          ( ? [X7] :
              ( init != a_select3(simplex7_init,X7,X6)
              & leq(X7,n3)
              & leq(n0,X7) )
          & leq(X6,n2)
          & leq(n0,X6) ) )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(flattening,[],[f149]) ).

fof(f170,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( init != a_select3(simplex7_init,X7,X6)
            & leq(X7,n3)
            & leq(n0,X7) )
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f171,plain,
    ( ? [X5] :
        ( init != a_select2(s_values7_init,X5)
        & leq(X5,n3)
        & leq(n0,X5) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f172,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | sP5
      | sP4 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(definition_folding,[],[f150,f171,f170]) ).

fof(f220,plain,
    ( ? [X5] :
        ( init != a_select2(s_values7_init,X5)
        & leq(X5,n3)
        & leq(n0,X5) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f171]) ).

fof(f221,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
    | ~ sP5 ),
    inference(rectify,[],[f220]) ).

fof(f222,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
   => ( init != a_select2(s_values7_init,sK33)
      & leq(sK33,n3)
      & leq(n0,sK33) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ( ( init != a_select2(s_values7_init,sK33)
      & leq(sK33,n3)
      & leq(n0,sK33) )
    | ~ sP5 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f221,f222]) ).

fof(f224,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( init != a_select3(simplex7_init,X7,X6)
            & leq(X7,n3)
            & leq(n0,X7) )
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f170]) ).

fof(f225,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP4 ),
    inference(rectify,[],[f224]) ).

fof(f226,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( ? [X1] :
          ( init != a_select3(simplex7_init,X1,sK34)
          & leq(X1,n3)
          & leq(n0,X1) )
      & leq(sK34,n2)
      & leq(n0,sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f227,plain,
    ( ? [X1] :
        ( init != a_select3(simplex7_init,X1,sK34)
        & leq(X1,n3)
        & leq(n0,X1) )
   => ( init != a_select3(simplex7_init,sK35,sK34)
      & leq(sK35,n3)
      & leq(n0,sK35) ) ),
    introduced(choice_axiom,[]) ).

fof(f228,plain,
    ( ( init != a_select3(simplex7_init,sK35,sK34)
      & leq(sK35,n3)
      & leq(n0,sK35)
      & leq(sK34,n2)
      & leq(n0,sK34) )
    | ~ sP4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f225,f227,f226]) ).

fof(f229,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X0] :
          ( init != a_select2(s_center7_init,X0)
          & leq(X0,n2)
          & leq(n0,X0) )
      | sP5
      | sP4 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,minus(plus(n1,n2),n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) ) ),
    inference(rectify,[],[f172]) ).

fof(f230,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( init != a_select2(s_center7_init,sK36)
      & leq(sK36,n2)
      & leq(n0,sK36) ) ),
    introduced(choice_axiom,[]) ).

fof(f231,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ( init != a_select2(s_center7_init,sK36)
        & leq(sK36,n2)
        & leq(n0,sK36) )
      | sP5
      | sP4 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,minus(plus(n1,n2),n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f229,f230]) ).

fof(f235,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f312,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f313,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f314,plain,
    ! [X0] : plus(X0,n2) = succ(succ(X0)),
    inference(cnf_transformation,[],[f31]) ).

fof(f315,plain,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f322,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f323,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f342,plain,
    ( leq(n0,sK33)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f223]) ).

fof(f343,plain,
    ( leq(sK33,n3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f223]) ).

fof(f344,plain,
    ( init != a_select2(s_values7_init,sK33)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f223]) ).

fof(f345,plain,
    ( leq(n0,sK34)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f346,plain,
    ( leq(sK34,n2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f347,plain,
    ( leq(n0,sK35)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f348,plain,
    ( leq(sK35,n3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f349,plain,
    ( init != a_select3(simplex7_init,sK35,sK34)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f350,plain,
    ! [X3,X4] :
      ( init = a_select3(simplex7_init,X4,X3)
      | ~ leq(X4,n3)
      | ~ leq(n0,X4)
      | ~ leq(X3,n2)
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f351,plain,
    ! [X2] :
      ( init = a_select2(s_values7_init,X2)
      | ~ leq(X2,n3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f352,plain,
    ! [X1] :
      ( init = a_select2(s_center7_init,X1)
      | ~ leq(X1,minus(plus(n1,n2),n1))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f353,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f354,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f355,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f356,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f357,plain,
    ( gt(loopcounter,n1)
    | leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f358,plain,
    ( gt(loopcounter,n1)
    | init != a_select2(s_center7_init,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f359,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f360,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f361,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | init != a_select2(s_center7_init,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f391,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

fof(f392,plain,
    n2 = succ(succ(n0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f393,plain,
    n3 = succ(succ(succ(n0))),
    inference(cnf_transformation,[],[f86]) ).

fof(f401,plain,
    ! [X0] : plus(X0,n1) = plus(n1,X0),
    inference(definition_unfolding,[],[f313,f312]) ).

fof(f402,plain,
    ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
    inference(definition_unfolding,[],[f314,f312,f312]) ).

fof(f403,plain,
    ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
    inference(definition_unfolding,[],[f315,f312,f312]) ).

fof(f410,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f323,f322,f312]) ).

fof(f417,plain,
    n1 = plus(n0,n1),
    inference(definition_unfolding,[],[f391,f312]) ).

fof(f418,plain,
    n2 = plus(plus(n0,n1),n1),
    inference(definition_unfolding,[],[f392,f312,f312]) ).

fof(f419,plain,
    n3 = plus(plus(plus(n0,n1),n1),n1),
    inference(definition_unfolding,[],[f393,f312,f312,f312]) ).

cnf(c_52,plain,
    leq(X0,X0),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_129,plain,
    plus(X0,n1) = plus(n1,X0),
    inference(cnf_transformation,[],[f401]) ).

cnf(c_130,plain,
    plus(plus(X0,n1),n1) = plus(X0,n2),
    inference(cnf_transformation,[],[f402]) ).

cnf(c_131,plain,
    plus(plus(X0,n1),n1) = plus(n2,X0),
    inference(cnf_transformation,[],[f403]) ).

cnf(c_138,plain,
    minus(plus(X0,n1),n1) = X0,
    inference(cnf_transformation,[],[f410]) ).

cnf(c_157,plain,
    ( a_select2(s_values7_init,sK33) != init
    | ~ sP5 ),
    inference(cnf_transformation,[],[f344]) ).

cnf(c_158,plain,
    ( ~ sP5
    | leq(sK33,n3) ),
    inference(cnf_transformation,[],[f343]) ).

cnf(c_159,plain,
    ( ~ sP5
    | leq(n0,sK33) ),
    inference(cnf_transformation,[],[f342]) ).

cnf(c_160,plain,
    ( a_select3(simplex7_init,sK35,sK34) != init
    | ~ sP4 ),
    inference(cnf_transformation,[],[f349]) ).

cnf(c_161,plain,
    ( ~ sP4
    | leq(sK35,n3) ),
    inference(cnf_transformation,[],[f348]) ).

cnf(c_162,plain,
    ( ~ sP4
    | leq(n0,sK35) ),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_163,plain,
    ( ~ sP4
    | leq(sK34,n2) ),
    inference(cnf_transformation,[],[f346]) ).

cnf(c_164,plain,
    ( ~ sP4
    | leq(n0,sK34) ),
    inference(cnf_transformation,[],[f345]) ).

cnf(c_165,negated_conjecture,
    ( a_select2(s_center7_init,sK36) != init
    | init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_166,negated_conjecture,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_167,negated_conjecture,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_168,negated_conjecture,
    ( a_select2(s_center7_init,sK36) != init
    | gt(loopcounter,n1)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_169,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f357]) ).

cnf(c_170,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f356]) ).

cnf(c_171,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | init = pvar1402_init ),
    inference(cnf_transformation,[],[f355]) ).

cnf(c_172,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | init = pvar1401_init ),
    inference(cnf_transformation,[],[f354]) ).

cnf(c_173,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | init = pvar1400_init ),
    inference(cnf_transformation,[],[f353]) ).

cnf(c_174,negated_conjecture,
    ( ~ leq(X0,minus(plus(n1,n2),n1))
    | ~ leq(n0,X0)
    | a_select2(s_center7_init,X0) = init ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_175,negated_conjecture,
    ( ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | a_select2(s_values7_init,X0) = init ),
    inference(cnf_transformation,[],[f351]) ).

cnf(c_176,negated_conjecture,
    ( ~ leq(X0,n2)
    | ~ leq(X1,n3)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(simplex7_init,X1,X0) = init ),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_206,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f417]) ).

cnf(c_207,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(cnf_transformation,[],[f418]) ).

cnf(c_208,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    inference(cnf_transformation,[],[f419]) ).

cnf(c_302,negated_conjecture,
    ( leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_173,c_172,c_171,c_170,c_167]) ).

cnf(c_304,negated_conjecture,
    ( leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_173,c_172,c_171,c_169,c_166]) ).

cnf(c_306,negated_conjecture,
    ( a_select2(s_center7_init,sK36) != init
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_173,c_172,c_171,c_168,c_165]) ).

cnf(c_308,negated_conjecture,
    ( leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_302]) ).

cnf(c_310,negated_conjecture,
    ( leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_304]) ).

cnf(c_312,negated_conjecture,
    ( a_select2(s_center7_init,sK36) != init
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_306]) ).

cnf(c_1798,plain,
    plus(n1,n1) = n2,
    inference(light_normalisation,[status(thm)],[c_207,c_206]) ).

cnf(c_1923,plain,
    plus(n2,n1) = n3,
    inference(light_normalisation,[status(thm)],[c_208,c_206,c_1798]) ).

cnf(c_1924,plain,
    plus(n1,n2) = n3,
    inference(demodulation,[status(thm)],[c_1923,c_129]) ).

cnf(c_1929,plain,
    plus(n1,plus(X0,n1)) = plus(n2,X0),
    inference(demodulation,[status(thm)],[c_131,c_129]) ).

cnf(c_1930,plain,
    plus(X0,n2) = plus(n2,X0),
    inference(demodulation,[status(thm)],[c_130,c_129,c_1929]) ).

cnf(c_1997,plain,
    ( ~ leq(X0,minus(n3,n1))
    | ~ leq(n0,X0)
    | a_select2(s_center7_init,X0) = init ),
    inference(light_normalisation,[status(thm)],[c_174,c_1924]) ).

cnf(c_12280,plain,
    a_select2(s_center7_init,sK36) = sP0_iProver_def,
    definition ).

cnf(c_12281,negated_conjecture,
    ( sP0_iProver_def != init
    | sP5
    | sP4 ),
    inference(demodulation,[status(thm)],[c_312,c_12280]) ).

cnf(c_12282,negated_conjecture,
    ( leq(sK36,n2)
    | sP5
    | sP4 ),
    inference(demodulation,[status(thm)],[c_310]) ).

cnf(c_12283,negated_conjecture,
    ( leq(n0,sK36)
    | sP5
    | sP4 ),
    inference(demodulation,[status(thm)],[c_308]) ).

cnf(c_12284,negated_conjecture,
    ( ~ leq(X0,n2)
    | ~ leq(X1,n3)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(simplex7_init,X1,X0) = init ),
    inference(demodulation,[status(thm)],[c_176]) ).

cnf(c_12285,negated_conjecture,
    ( ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | a_select2(s_values7_init,X0) = init ),
    inference(demodulation,[status(thm)],[c_175]) ).

cnf(c_15585,plain,
    ( ~ leq(sK33,n3)
    | ~ sP5
    | a_select2(s_values7_init,sK33) = init ),
    inference(superposition,[status(thm)],[c_159,c_12285]) ).

cnf(c_15628,plain,
    ~ sP5,
    inference(global_subsumption_just,[status(thm)],[c_15585,c_158,c_157,c_15585]) ).

cnf(c_15635,plain,
    ( init != sP0_iProver_def
    | sP4 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12281,c_15628]) ).

cnf(c_15636,plain,
    ( leq(sK36,n2)
    | sP4 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12282,c_15628]) ).

cnf(c_15637,plain,
    ( leq(n0,sK36)
    | sP4 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12283,c_15628]) ).

cnf(c_15720,plain,
    ( ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | ~ leq(sK34,n2)
    | ~ sP4
    | a_select3(simplex7_init,X0,sK34) = init ),
    inference(superposition,[status(thm)],[c_164,c_12284]) ).

cnf(c_15780,plain,
    ( ~ leq(n0,X0)
    | ~ leq(X0,n3)
    | ~ sP4
    | a_select3(simplex7_init,X0,sK34) = init ),
    inference(global_subsumption_just,[status(thm)],[c_15720,c_163,c_15720]) ).

cnf(c_15781,plain,
    ( ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | ~ sP4
    | a_select3(simplex7_init,X0,sK34) = init ),
    inference(renaming,[status(thm)],[c_15780]) ).

cnf(c_15791,plain,
    ( ~ leq(n0,n3)
    | ~ sP4
    | a_select3(simplex7_init,n0,sK34) = init ),
    inference(superposition,[status(thm)],[c_52,c_15781]) ).

cnf(c_15792,plain,
    ( ~ leq(sK35,n3)
    | ~ sP4
    | a_select3(simplex7_init,sK35,sK34) = init ),
    inference(superposition,[status(thm)],[c_162,c_15781]) ).

cnf(c_15818,plain,
    ~ sP4,
    inference(global_subsumption_just,[status(thm)],[c_15791,c_161,c_160,c_15792]) ).

cnf(c_15820,plain,
    leq(n0,sK36),
    inference(backward_subsumption_resolution,[status(thm)],[c_15637,c_15818]) ).

cnf(c_15821,plain,
    leq(sK36,n2),
    inference(backward_subsumption_resolution,[status(thm)],[c_15636,c_15818]) ).

cnf(c_15822,plain,
    init != sP0_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_15635,c_15818]) ).

cnf(c_15842,plain,
    minus(plus(n1,n2),n1) = n2,
    inference(superposition,[status(thm)],[c_1930,c_138]) ).

cnf(c_15846,plain,
    minus(n3,n1) = n2,
    inference(light_normalisation,[status(thm)],[c_15842,c_1924]) ).

cnf(c_15849,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select2(s_center7_init,X0) = init ),
    inference(demodulation,[status(thm)],[c_1997,c_15846]) ).

cnf(c_15877,plain,
    ( ~ leq(sK36,n2)
    | a_select2(s_center7_init,sK36) = init ),
    inference(superposition,[status(thm)],[c_15820,c_15849]) ).

cnf(c_15878,plain,
    ( ~ leq(sK36,n2)
    | init = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15877,c_12280]) ).

cnf(c_15879,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15878,c_15822,c_15821]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:49:20 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.15/1.17  % SZS status Started for theBenchmark.p
% 4.15/1.17  % SZS status Theorem for theBenchmark.p
% 4.15/1.17  
% 4.15/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.15/1.17  
% 4.15/1.17  ------  iProver source info
% 4.15/1.17  
% 4.15/1.17  git: date: 2024-05-02 19:28:25 +0000
% 4.15/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.15/1.17  git: non_committed_changes: false
% 4.15/1.17  
% 4.15/1.17  ------ Parsing...
% 4.15/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.15/1.17  
% 4.15/1.17  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.15/1.17  
% 4.15/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.15/1.17  
% 4.15/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.15/1.17  ------ Proving...
% 4.15/1.17  ------ Problem Properties 
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  clauses                                 158
% 4.15/1.17  conjectures                             8
% 4.15/1.17  EPR                                     48
% 4.15/1.17  Horn                                    105
% 4.15/1.17  unary                                   47
% 4.15/1.17  binary                                  45
% 4.15/1.17  lits                                    522
% 4.15/1.17  lits eq                                 123
% 4.15/1.17  fd_pure                                 0
% 4.15/1.17  fd_pseudo                               0
% 4.15/1.17  fd_cond                                 6
% 4.15/1.17  fd_pseudo_cond                          4
% 4.15/1.17  AC symbols                              0
% 4.15/1.17  
% 4.15/1.17  ------ Schedule dynamic 5 is on 
% 4.15/1.17  
% 4.15/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  ------ 
% 4.15/1.17  Current options:
% 4.15/1.17  ------ 
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  ------ Proving...
% 4.15/1.17  
% 4.15/1.17  
% 4.15/1.17  % SZS status Theorem for theBenchmark.p
% 4.15/1.17  
% 4.15/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.17  
% 4.15/1.17  
%------------------------------------------------------------------------------