TSTP Solution File: NUN069+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 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 : Thu Aug 31 12:49:17 EDT 2023

% Result   : Theorem 2.57s 1.13s
% Output   : CNFRefutation 2.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f107)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( X0 != X1
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( X3 != X4
        & ~ r2(X2,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f14,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | ( X1 != X2
        & ~ r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f26,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 = X1
          & r1(X1) )
        | ( X0 != X1
          & ~ r1(X1) ) )
   => ! [X1] :
        ( ( sK0 = X1
          & r1(X1) )
        | ( sK0 != X1
          & ~ r1(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X1] :
      ( ( sK0 = X1
        & r1(X1) )
      | ( sK0 != X1
        & ~ r1(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f26]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 = X2
            & r2(X0,X2) )
          | ( X1 != X2
            & ~ r2(X0,X2) ) )
     => ! [X2] :
          ( ( sK1(X0) = X2
            & r2(X0,X2) )
          | ( sK1(X0) != X2
            & ~ r2(X0,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X2] :
      ( ( sK1(X0) = X2
        & r2(X0,X2) )
      | ( sK1(X0) != X2
        & ~ r2(X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f28]) ).

fof(f55,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 != X1 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X2,X0] :
      ( r2(X0,X2)
      | sK1(X0) != X2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f98,plain,
    r1(sK0),
    inference(equality_resolution,[],[f55]) ).

fof(f100,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f59]) ).

cnf(c_50,plain,
    r1(sK0),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_52,plain,
    r2(X0,sK1(X0)),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_77,negated_conjecture,
    ( ~ r2(X0,X1)
    | ~ r1(X0) ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_899,plain,
    ~ r1(X0),
    inference(superposition,[status(thm)],[c_52,c_77]) ).

cnf(c_900,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_899]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 09:13:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.57/1.13  % SZS status Started for theBenchmark.p
% 2.57/1.13  % SZS status Theorem for theBenchmark.p
% 2.57/1.13  
% 2.57/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.57/1.13  
% 2.57/1.13  ------  iProver source info
% 2.57/1.13  
% 2.57/1.13  git: date: 2023-05-31 18:12:56 +0000
% 2.57/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.57/1.13  git: non_committed_changes: false
% 2.57/1.13  git: last_make_outside_of_git: false
% 2.57/1.13  
% 2.57/1.13  ------ Parsing...
% 2.57/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.57/1.13  
% 2.57/1.13  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 2.57/1.13  
% 2.57/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.57/1.13  
% 2.57/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.57/1.13  ------ Proving...
% 2.57/1.13  ------ Problem Properties 
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  clauses                                 25
% 2.57/1.13  conjectures                             1
% 2.57/1.13  EPR                                     5
% 2.57/1.13  Horn                                    21
% 2.57/1.13  unary                                   16
% 2.57/1.13  binary                                  8
% 2.57/1.13  lits                                    35
% 2.57/1.13  lits eq                                 15
% 2.57/1.13  fd_pure                                 0
% 2.57/1.13  fd_pseudo                               0
% 2.57/1.13  fd_cond                                 1
% 2.57/1.13  fd_pseudo_cond                          2
% 2.57/1.13  AC symbols                              0
% 2.57/1.13  
% 2.57/1.13  ------ Schedule dynamic 5 is on 
% 2.57/1.13  
% 2.57/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  ------ 
% 2.57/1.13  Current options:
% 2.57/1.13  ------ 
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  ------ Proving...
% 2.57/1.13  
% 2.57/1.13  
% 2.57/1.13  % SZS status Theorem for theBenchmark.p
% 2.57/1.13  
% 2.57/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/1.13  
% 2.57/1.13  
%------------------------------------------------------------------------------