TSTP Solution File: RNG086+2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 14:04:00 EDT 2024

% Result   : Theorem 2.73s 1.16s
% Output   : CNFRefutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   66 (  18 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   62 (  15   ~;   9   |;  36   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn   4   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ( aElement0(xz)
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xx
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).

fof(f27,conjecture,
    ? [X0,X1] :
      ( sdtpldt0(X0,X1) = xx
      & aElementOf0(X1,xJ)
      & aElementOf0(X0,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f28,negated_conjecture,
    ~ ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xx
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f34,plain,
    ( aElement0(xz)
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [X2,X3] :
        ( xx = sdtpldt0(X2,X3)
        & aElementOf0(X3,xJ)
        & aElementOf0(X2,xI) ) ),
    inference(rectify,[],[f26]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) != xx
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f87,plain,
    ( ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) )
   => ( xy = sdtpldt0(sK10,sK11)
      & aElementOf0(sK11,xJ)
      & aElementOf0(sK10,xI) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ( ? [X2,X3] :
        ( xx = sdtpldt0(X2,X3)
        & aElementOf0(X3,xJ)
        & aElementOf0(X2,xI) )
   => ( xx = sdtpldt0(sK12,sK13)
      & aElementOf0(sK13,xJ)
      & aElementOf0(sK12,xI) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( aElement0(xz)
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & xy = sdtpldt0(sK10,sK11)
    & aElementOf0(sK11,xJ)
    & aElementOf0(sK10,xI)
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & xx = sdtpldt0(sK12,sK13)
    & aElementOf0(sK13,xJ)
    & aElementOf0(sK12,xI) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f34,f88,f87]) ).

fof(f148,plain,
    aElementOf0(sK12,xI),
    inference(cnf_transformation,[],[f89]) ).

fof(f149,plain,
    aElementOf0(sK13,xJ),
    inference(cnf_transformation,[],[f89]) ).

fof(f150,plain,
    xx = sdtpldt0(sK12,sK13),
    inference(cnf_transformation,[],[f89]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) != xx
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_113,plain,
    sdtpldt0(sK12,sK13) = xx,
    inference(cnf_transformation,[],[f150]) ).

cnf(c_114,plain,
    aElementOf0(sK13,xJ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_115,plain,
    aElementOf0(sK12,xI),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_116,negated_conjecture,
    ( sdtpldt0(X0,X1) != xx
    | ~ aElementOf0(X0,xI)
    | ~ aElementOf0(X1,xJ) ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_2926,negated_conjecture,
    ( sdtpldt0(X0,X1) != xx
    | ~ aElementOf0(X0,xI)
    | ~ aElementOf0(X1,xJ) ),
    inference(demodulation,[status(thm)],[c_116]) ).

cnf(c_3795,plain,
    ( ~ aElementOf0(sK12,xI)
    | ~ aElementOf0(sK13,xJ) ),
    inference(superposition,[status(thm)],[c_113,c_2926]) ).

cnf(c_3796,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3795,c_114,c_115]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Jun 18 13:40:39 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  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
% 2.73/1.16  % SZS status Started for theBenchmark.p
% 2.73/1.16  % SZS status Theorem for theBenchmark.p
% 2.73/1.16  
% 2.73/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.73/1.16  
% 2.73/1.16  ------  iProver source info
% 2.73/1.16  
% 2.73/1.16  git: date: 2024-06-12 09:56:46 +0000
% 2.73/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.73/1.16  git: non_committed_changes: false
% 2.73/1.16  
% 2.73/1.16  ------ Parsing...
% 2.73/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.73/1.16  
% 2.73/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.73/1.16  
% 2.73/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.73/1.16  
% 2.73/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.73/1.16  ------ Proving...
% 2.73/1.16  ------ Problem Properties 
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  clauses                                 62
% 2.73/1.16  conjectures                             1
% 2.73/1.16  EPR                                     12
% 2.73/1.16  Horn                                    53
% 2.73/1.16  unary                                   14
% 2.73/1.16  binary                                  12
% 2.73/1.16  lits                                    182
% 2.73/1.16  lits eq                                 34
% 2.73/1.16  fd_pure                                 0
% 2.73/1.16  fd_pseudo                               0
% 2.73/1.16  fd_cond                                 1
% 2.73/1.16  fd_pseudo_cond                          8
% 2.73/1.16  AC symbols                              0
% 2.73/1.16  
% 2.73/1.16  ------ Schedule dynamic 5 is on 
% 2.73/1.16  
% 2.73/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  ------ 
% 2.73/1.16  Current options:
% 2.73/1.16  ------ 
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  ------ Proving...
% 2.73/1.16  
% 2.73/1.16  
% 2.73/1.16  % SZS status Theorem for theBenchmark.p
% 2.73/1.16  
% 2.73/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.73/1.16  
% 2.73/1.16  
%------------------------------------------------------------------------------