TSTP Solution File: SWV055+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Thu Aug 31 22:30:56 EDT 2023

% Result   : Theorem 4.16s 1.12s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   74 (  30 unt;   0 def)
%            Number of atoms       :  241 (  55 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  259 (  92   ~;  80   |;  71   &)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   99 (   2 sgn;  62   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).

fof(f29,axiom,
    ! [X0] : succ(X0) = plus(X0,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).

fof(f53,conjecture,
    ( ( ! [X13,X17] :
          ( ( leq(X13,minus(pv10,n1))
            & leq(n0,X13) )
         => n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10) )
   => ( ! [X20,X21] :
          ( ( leq(X20,minus(pv10,n1))
            & leq(n0,X20) )
         => n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
      & ! [X3,X19] :
          ( ( leq(X3,minus(n0,n1))
            & leq(n0,X3) )
         => a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X13,X17] :
            ( ( leq(X13,minus(pv10,n1))
              & leq(n0,X13) )
           => n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) )
     => ( ! [X20,X21] :
            ( ( leq(X20,minus(pv10,n1))
              & leq(n0,X20) )
           => n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
        & ! [X3,X19] :
            ( ( leq(X3,minus(n0,n1))
              & leq(n0,X3) )
           => a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f114,plain,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X0,minus(pv10,n1))
              & leq(n0,X0) )
           => n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) )
     => ( ! [X2,X3] :
            ( ( leq(X2,minus(pv10,n1))
              & leq(n0,X2) )
           => n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
        & ! [X4,X5] :
            ( ( leq(X4,minus(n0,n1))
              & leq(n0,X4) )
           => a_select3(q,pv10,X4) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))))) )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) ) ),
    inference(rectify,[],[f54]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f118]) ).

fof(f156,plain,
    ( ( ? [X2,X3] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
          & leq(X2,minus(pv10,n1))
          & leq(n0,X2) )
      | ? [X4,X5] :
          ( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
          & leq(X4,minus(n0,n1))
          & leq(n0,X4) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) )
    & ! [X0,X1] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
        | ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ( ( ? [X2,X3] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
          & leq(X2,minus(pv10,n1))
          & leq(n0,X2) )
      | ? [X4,X5] :
          ( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
          & leq(X4,minus(n0,n1))
          & leq(n0,X4) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) )
    & ! [X0,X1] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
        | ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10) ),
    inference(flattening,[],[f156]) ).

fof(f177,plain,
    ( ? [X4,X5] :
        ( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
        & leq(X4,minus(n0,n1))
        & leq(n0,X4) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f178,plain,
    ( ( ? [X2,X3] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
          & leq(X2,minus(pv10,n1))
          & leq(n0,X2) )
      | sP4
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) )
    & ! [X0,X1] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
        | ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10) ),
    inference(definition_folding,[],[f157,f177]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | ~ gt(succ(X1),X0) )
      & ( gt(succ(X1),X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f226,plain,
    ( ? [X4,X5] :
        ( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
        & leq(X4,minus(n0,n1))
        & leq(n0,X4) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f177]) ).

fof(f227,plain,
    ( ? [X0,X1] :
        ( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
        & leq(X0,minus(n0,n1))
        & leq(n0,X0) )
    | ~ sP4 ),
    inference(rectify,[],[f226]) ).

fof(f228,plain,
    ( ? [X0,X1] :
        ( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
        & leq(X0,minus(n0,n1))
        & leq(n0,X0) )
   => ( a_select3(q,pv10,sK32) != divide(sqrt(times(minus(a_select3(center,sK32,n0),a_select2(x,pv10)),minus(a_select3(center,sK32,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10))))))
      & leq(sK32,minus(n0,n1))
      & leq(n0,sK32) ) ),
    introduced(choice_axiom,[]) ).

fof(f229,plain,
    ( ( a_select3(q,pv10,sK32) != divide(sqrt(times(minus(a_select3(center,sK32,n0),a_select2(x,pv10)),minus(a_select3(center,sK32,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10))))))
      & leq(sK32,minus(n0,n1))
      & leq(n0,sK32) )
    | ~ sP4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f227,f228]) ).

fof(f230,plain,
    ( ( ? [X0,X1] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
          & leq(X0,minus(pv10,n1))
          & leq(n0,X0) )
      | sP4
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) )
    & ! [X2,X3] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
        | ~ leq(X2,minus(pv10,n1))
        | ~ leq(n0,X2) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10) ),
    inference(rectify,[],[f178]) ).

fof(f231,plain,
    ( ? [X0,X1] :
        ( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
        & leq(X0,minus(pv10,n1))
        & leq(n0,X0) )
   => ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK34,sK35))
      & leq(sK34,minus(pv10,n1))
      & leq(n0,sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f232,plain,
    ( ( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK34,sK35))
        & leq(sK34,minus(pv10,n1))
        & leq(n0,sK34) )
      | sP4
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) )
    & ! [X2,X3] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
        | ~ leq(X2,minus(pv10,n1))
        | ~ leq(n0,X2) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f230,f231]) ).

fof(f235,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f237,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f312,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f313,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f314,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f323,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f324,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f343,plain,
    ( leq(n0,sK32)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f229]) ).

fof(f344,plain,
    ( leq(sK32,minus(n0,n1))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f229]) ).

fof(f346,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f232]) ).

fof(f347,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f232]) ).

fof(f348,plain,
    ! [X2,X3] :
      ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
      | ~ leq(X2,minus(pv10,n1))
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f349,plain,
    ( leq(n0,sK34)
    | sP4
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f350,plain,
    ( leq(sK34,minus(pv10,n1))
    | sP4
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f351,plain,
    ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK34,sK35))
    | sP4
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( gt(plus(X1,n1),X0)
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f244,f313]) ).

fof(f397,plain,
    n0 = plus(tptp_minus_1,n1),
    inference(definition_unfolding,[],[f312,f313]) ).

fof(f398,plain,
    ! [X0] : plus(X0,n1) = plus(n1,X0),
    inference(definition_unfolding,[],[f314,f313]) ).

fof(f407,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f324,f323,f313]) ).

cnf(c_51,plain,
    ~ gt(X0,X0),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_53,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X2)
    | leq(X0,X2) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_61,plain,
    ( ~ leq(X0,X1)
    | gt(plus(X1,n1),X0) ),
    inference(cnf_transformation,[],[f396]) ).

cnf(c_128,plain,
    plus(tptp_minus_1,n1) = n0,
    inference(cnf_transformation,[],[f397]) ).

cnf(c_129,plain,
    plus(X0,n1) = plus(n1,X0),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_138,plain,
    minus(plus(X0,n1),n1) = X0,
    inference(cnf_transformation,[],[f407]) ).

cnf(c_158,plain,
    ( ~ sP4
    | leq(sK32,minus(n0,n1)) ),
    inference(cnf_transformation,[],[f344]) ).

cnf(c_159,plain,
    ( ~ sP4
    | leq(n0,sK32) ),
    inference(cnf_transformation,[],[f343]) ).

cnf(c_160,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,sK34,sK35)) != n1
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10)
    | sP4 ),
    inference(cnf_transformation,[],[f351]) ).

cnf(c_161,negated_conjecture,
    ( ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10)
    | leq(sK34,minus(pv10,n1))
    | sP4 ),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_162,negated_conjecture,
    ( ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10)
    | leq(n0,sK34)
    | sP4 ),
    inference(cnf_transformation,[],[f349]) ).

cnf(c_163,negated_conjecture,
    ( ~ leq(X0,minus(pv10,n1))
    | ~ leq(n0,X0)
    | sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 ),
    inference(cnf_transformation,[],[f348]) ).

cnf(c_164,negated_conjecture,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_165,negated_conjecture,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f346]) ).

cnf(c_296,negated_conjecture,
    ( leq(n0,sK34)
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_162,c_165,c_164,c_162]) ).

cnf(c_298,negated_conjecture,
    ( leq(sK34,minus(pv10,n1))
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_161,c_165,c_164,c_161]) ).

cnf(c_300,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,sK34,sK35)) != n1
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_160,c_165,c_164,c_160]) ).

cnf(c_1707,plain,
    plus(n1,tptp_minus_1) = n0,
    inference(demodulation,[status(thm)],[c_128,c_129]) ).

cnf(c_9136,plain,
    minus(plus(n1,X0),n1) = X0,
    inference(superposition,[status(thm)],[c_129,c_138]) ).

cnf(c_9410,plain,
    ~ leq(plus(X0,n1),X0),
    inference(superposition,[status(thm)],[c_61,c_51]) ).

cnf(c_9596,plain,
    ~ leq(plus(n1,X0),X0),
    inference(superposition,[status(thm)],[c_129,c_9410]) ).

cnf(c_9611,plain,
    minus(n0,n1) = tptp_minus_1,
    inference(superposition,[status(thm)],[c_1707,c_9136]) ).

cnf(c_9621,plain,
    ( ~ sP4
    | leq(sK32,tptp_minus_1) ),
    inference(demodulation,[status(thm)],[c_158,c_9611]) ).

cnf(c_9689,plain,
    ~ leq(n0,tptp_minus_1),
    inference(superposition,[status(thm)],[c_1707,c_9596]) ).

cnf(c_9791,plain,
    ( ~ leq(sK34,minus(pv10,n1))
    | ~ leq(n0,sK34)
    | sum(n0,minus(n5,n1),a_select3(q,sK34,X0)) = n1 ),
    inference(instantiation,[status(thm)],[c_163]) ).

cnf(c_10519,plain,
    ( ~ leq(X0,sK32)
    | ~ sP4
    | leq(X0,tptp_minus_1) ),
    inference(superposition,[status(thm)],[c_9621,c_53]) ).

cnf(c_10668,plain,
    ( ~ leq(n0,sK32)
    | ~ sP4
    | leq(n0,tptp_minus_1) ),
    inference(instantiation,[status(thm)],[c_10519]) ).

cnf(c_11272,plain,
    ( ~ leq(sK34,minus(pv10,n1))
    | ~ leq(n0,sK34)
    | sum(n0,minus(n5,n1),a_select3(q,sK34,sK35)) = n1 ),
    inference(instantiation,[status(thm)],[c_9791]) ).

cnf(c_11699,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11272,c_10668,c_9689,c_300,c_298,c_296,c_159]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n028.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Tue Aug 29 06:58:40 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.17/0.41  Running first-order theorem proving
% 0.17/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.16/1.12  % SZS status Started for theBenchmark.p
% 4.16/1.12  % SZS status Theorem for theBenchmark.p
% 4.16/1.12  
% 4.16/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.16/1.12  
% 4.16/1.12  ------  iProver source info
% 4.16/1.12  
% 4.16/1.12  git: date: 2023-05-31 18:12:56 +0000
% 4.16/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.16/1.12  git: non_committed_changes: false
% 4.16/1.12  git: last_make_outside_of_git: false
% 4.16/1.12  
% 4.16/1.12  ------ Parsing...
% 4.16/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.16/1.12  
% 4.16/1.12  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.16/1.12  
% 4.16/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.16/1.12  
% 4.16/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.16/1.12  ------ Proving...
% 4.16/1.12  ------ Problem Properties 
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  clauses                                 156
% 4.16/1.12  conjectures                             3
% 4.16/1.12  EPR                                     46
% 4.16/1.12  Horn                                    104
% 4.16/1.12  unary                                   55
% 4.16/1.12  binary                                  40
% 4.16/1.12  lits                                    503
% 4.16/1.12  lits eq                                 116
% 4.16/1.12  fd_pure                                 0
% 4.16/1.12  fd_pseudo                               0
% 4.16/1.12  fd_cond                                 6
% 4.16/1.12  fd_pseudo_cond                          4
% 4.16/1.12  AC symbols                              0
% 4.16/1.12  
% 4.16/1.12  ------ Schedule dynamic 5 is on 
% 4.16/1.12  
% 4.16/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  ------ 
% 4.16/1.12  Current options:
% 4.16/1.12  ------ 
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  ------ Proving...
% 4.16/1.12  
% 4.16/1.12  
% 4.16/1.12  % SZS status Theorem for theBenchmark.p
% 4.16/1.12  
% 4.16/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.12  
% 4.16/1.13  
%------------------------------------------------------------------------------