TSTP Solution File: SWV055+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV055+1 : TPTP v8.2.0. 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 : Mon Jun 24 17:09:05 EDT 2024

% Result   : Theorem 13.76s 2.66s
% Output   : CNFRefutation 13.76s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).

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(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

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

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(f179,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

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(f236,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f240,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f179]) ).

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

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(f392,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,minus(X1,n1)) ),
    inference(definition_unfolding,[],[f240,f323]) ).

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

cnf(c_52,plain,
    leq(X0,X0),
    inference(cnf_transformation,[],[f236]) ).

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

cnf(c_57,plain,
    ( ~ leq(X0,minus(X1,n1))
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f392]) ).

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_205,plain,
    leq(n0,n0),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_206,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_234,plain,
    ( ~ leq(n0,minus(n0,n1))
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

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_357,plain,
    minus(n5,n1) = sP0_iProver_def,
    definition ).

cnf(c_358,plain,
    a_select3(q,sK34,sK35) = sP1_iProver_def,
    definition ).

cnf(c_359,plain,
    sum(n0,sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_360,plain,
    minus(pv10,n1) = sP3_iProver_def,
    definition ).

cnf(c_374,negated_conjecture,
    ( sP2_iProver_def != n1
    | sP4 ),
    inference(demodulation,[status(thm)],[c_300,c_358,c_357,c_359]) ).

cnf(c_375,negated_conjecture,
    ( leq(sK34,sP3_iProver_def)
    | sP4 ),
    inference(demodulation,[status(thm)],[c_298,c_360]) ).

cnf(c_376,negated_conjecture,
    ( leq(n0,sK34)
    | sP4 ),
    inference(demodulation,[status(thm)],[c_296]) ).

cnf(c_379,negated_conjecture,
    ( ~ leq(X0,sP3_iProver_def)
    | ~ leq(n0,X0)
    | sum(n0,sP0_iProver_def,a_select3(q,X0,X1)) = n1 ),
    inference(demodulation,[status(thm)],[c_163]) ).

cnf(c_3784,plain,
    ( ~ leq(X0,sK32)
    | ~ sP4
    | leq(X0,minus(n0,n1)) ),
    inference(superposition,[status(thm)],[c_158,c_53]) ).

cnf(c_3787,plain,
    ( ~ leq(X0,n0)
    | leq(X0,sK34)
    | sP4 ),
    inference(superposition,[status(thm)],[c_376,c_53]) ).

cnf(c_3793,plain,
    ( ~ leq(X0,sK34)
    | leq(X0,sP3_iProver_def)
    | sP4 ),
    inference(superposition,[status(thm)],[c_375,c_53]) ).

cnf(c_3821,plain,
    ( ~ leq(n0,sK32)
    | ~ sP4
    | leq(n0,minus(n0,n1)) ),
    inference(instantiation,[status(thm)],[c_3784]) ).

cnf(c_4824,plain,
    ( leq(X0,sK34)
    | ~ leq(X0,n0) ),
    inference(global_subsumption_just,[status(thm)],[c_3787,c_206,c_159,c_234,c_3787,c_3821]) ).

cnf(c_4825,plain,
    ( ~ leq(X0,n0)
    | leq(X0,sK34) ),
    inference(renaming,[status(thm)],[c_4824]) ).

cnf(c_4826,plain,
    ( ~ leq(n0,n0)
    | leq(n0,sK34) ),
    inference(instantiation,[status(thm)],[c_4825]) ).

cnf(c_4827,plain,
    leq(n0,sK34),
    inference(superposition,[status(thm)],[c_52,c_4825]) ).

cnf(c_4867,plain,
    ( leq(X0,sP3_iProver_def)
    | ~ leq(X0,sK34) ),
    inference(global_subsumption_just,[status(thm)],[c_3793,c_206,c_159,c_234,c_3793,c_3821]) ).

cnf(c_4868,plain,
    ( ~ leq(X0,sK34)
    | leq(X0,sP3_iProver_def) ),
    inference(renaming,[status(thm)],[c_4867]) ).

cnf(c_4870,plain,
    leq(sK34,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_52,c_4868]) ).

cnf(c_4984,plain,
    ( ~ leq(sK34,sP3_iProver_def)
    | sum(n0,sP0_iProver_def,a_select3(q,sK34,X0)) = n1 ),
    inference(superposition,[status(thm)],[c_4827,c_379]) ).

cnf(c_4989,negated_conjecture,
    leq(n0,sK34),
    inference(global_subsumption_just,[status(thm)],[c_376,c_205,c_4826]) ).

cnf(c_4991,negated_conjecture,
    sP2_iProver_def != n1,
    inference(global_subsumption_just,[status(thm)],[c_374,c_206,c_159,c_234,c_374,c_3821]) ).

cnf(c_4997,plain,
    ( ~ leq(sK34,sP3_iProver_def)
    | sum(n0,sP0_iProver_def,a_select3(q,sK34,X0)) = n1 ),
    inference(superposition,[status(thm)],[c_4989,c_379]) ).

cnf(c_5001,plain,
    sum(n0,sP0_iProver_def,a_select3(q,sK34,X0)) = n1,
    inference(global_subsumption_just,[status(thm)],[c_4997,c_4870,c_4984]) ).

cnf(c_5058,plain,
    sum(n0,sP0_iProver_def,sP1_iProver_def) = n1,
    inference(superposition,[status(thm)],[c_358,c_5001]) ).

cnf(c_5060,plain,
    n1 = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_5058,c_359]) ).

cnf(c_5087,plain,
    $false,
    inference(superposition,[status(thm)],[c_5060,c_4991]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV055+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.32  % Computer : n028.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Thu Jun 20 17:32:09 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.76/2.66  % SZS status Started for theBenchmark.p
% 13.76/2.66  % SZS status Theorem for theBenchmark.p
% 13.76/2.66  
% 13.76/2.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 13.76/2.66  
% 13.76/2.66  ------  iProver source info
% 13.76/2.66  
% 13.76/2.66  git: date: 2024-06-12 09:56:46 +0000
% 13.76/2.66  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 13.76/2.66  git: non_committed_changes: false
% 13.76/2.66  
% 13.76/2.66  ------ Parsing...
% 13.76/2.66  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 13.76/2.66  
% 13.76/2.66  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 13.76/2.66  
% 13.76/2.66  ------ Preprocessing...
% 13.76/2.66  
% 13.76/2.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 13.76/2.66  ------ Proving...
% 13.76/2.66  ------ Problem Properties 
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  clauses                                 173
% 13.76/2.66  conjectures                             13
% 13.76/2.66  EPR                                     49
% 13.76/2.66  Horn                                    121
% 13.76/2.66  unary                                   72
% 13.76/2.66  binary                                  40
% 13.76/2.66  lits                                    520
% 13.76/2.66  lits eq                                 133
% 13.76/2.66  fd_pure                                 0
% 13.76/2.66  fd_pseudo                               0
% 13.76/2.66  fd_cond                                 6
% 13.76/2.66  fd_pseudo_cond                          4
% 13.76/2.66  AC symbols                              0
% 13.76/2.66  
% 13.76/2.66  ------ Input Options Time Limit: Unbounded
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  ------ 
% 13.76/2.66  Current options:
% 13.76/2.66  ------ 
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  ------ Proving...
% 13.76/2.66  
% 13.76/2.66  
% 13.76/2.66  % SZS status Theorem for theBenchmark.p
% 13.76/2.66  
% 13.76/2.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.76/2.66  
% 13.76/2.67  
%------------------------------------------------------------------------------