TSTP Solution File: GEO342+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Wed Aug 30 23:11:04 EDT 2023

% Result   : Theorem 9.93s 2.15s
% Output   : CNFRefutation 9.93s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f854)

% Comments : 
%------------------------------------------------------------------------------
fof(f463,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1399 = X0 )
   => ( rpoint(sK1)
      & vd1399 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f464,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1400 = X1 )
   => ( rpoint(sK2)
      & vd1400 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f465,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1401 = X2 )
   => ( rpoint(sK3)
      & vd1401 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
     => ( rline(sK8(X0,X1))
        & ron(X0,sK8(X0,X1))
        & ron(X1,sK8(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

cnf(c_49,negated_conjecture,
    ( ~ ron(sK3,X0)
    | ~ ron(sK1,X0)
    | ~ rline(X0) ),
    inference(cnf_transformation,[],[f854]) ).

cnf(c_108,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | X0 = X1
    | ron(X0,sK8(X0,X1)) ),
    inference(cnf_transformation,[],[f1045]) ).

cnf(c_26087,plain,
    ( ~ ron(sK1,sK8(sK3,X0))
    | ~ rline(sK8(sK3,X0))
    | ~ rpoint(X0)
    | ~ rpoint(sK3)
    | X0 = sK3 ),
    inference(superposition,[status(thm)],[c_108,c_49]) ).

fof(f9,axiom,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1399 = X3 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1400 = X2 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1401 = X1 )
    & vd1399 != vd1400
    & vd1399 != vd1401
    & vd1401 != vd1400
    & rline(vd1407)
    & ron(vd1399,vd1406)
    & ron(vd1400,vd1406)
    & vd1406 = vd1407 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof(f602,plain,
    vd1400 = sK2,
    inference(cnf_transformation,[],[f466]) ).

fof(f36,axiom,
    ! [X122,X123] :
      ( ( ? [X125] :
            ( rpoint(X125)
            & X122 = X125 )
        & ? [X124] :
            ( rpoint(X124)
            & X123 = X124 )
        & X122 != X123 )
     => ? [X126] :
          ( rline(X126)
          & ron(X122,X126)
          & ron(X123,X126) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(f1045,plain,
    ! [X3,X4] :
      ( ron(X3,sK8(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f1044]) ).

fof(f126,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1399 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1400 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1401 = X2 )
    & vd1399 != vd1400
    & vd1399 != vd1401
    & vd1401 != vd1400
    & rline(vd1407)
    & ron(vd1399,vd1406)
    & ron(vd1400,vd1406)
    & vd1406 = vd1407 ),
    inference(rectify,[],[f9]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 )
        & X0 != X1 )
     => ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) ) ),
    inference(rectify,[],[f36]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f153]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(flattening,[],[f297]) ).

fof(f466,plain,
    ( rpoint(sK1)
    & vd1399 = sK1
    & rpoint(sK2)
    & vd1400 = sK2
    & rpoint(sK3)
    & vd1401 = sK3
    & vd1399 != vd1400
    & vd1399 != vd1401
    & vd1401 != vd1400
    & rline(vd1407)
    & ron(vd1399,vd1406)
    & ron(vd1400,vd1406)
    & vd1406 = vd1407 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f126,f465,f464,f463]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(rectify,[],[f298]) ).

fof(f485,plain,
    ! [X0,X1] :
      ( ( rline(sK8(X0,X1))
        & ron(X0,sK8(X0,X1))
        & ron(X1,sK8(X0,X1)) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f483,f484]) ).

fof(f598,plain,
    vd1399 != vd1401,
    inference(cnf_transformation,[],[f466]) ).

fof(f600,plain,
    vd1401 = sK3,
    inference(cnf_transformation,[],[f466]) ).

fof(f601,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f466]) ).

fof(f604,plain,
    vd1399 = sK1,
    inference(cnf_transformation,[],[f466]) ).

fof(f605,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f466]) ).

fof(f648,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK8(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f485]) ).

fof(f649,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK8(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f485]) ).

fof(f650,plain,
    ! [X3,X0,X1,X4] :
      ( rline(sK8(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f485]) ).

fof(f861,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f598,f604,f600]) ).

fof(f1042,plain,
    ! [X3,X1,X4] :
      ( rline(sK8(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f650]) ).

fof(f1043,plain,
    ! [X3,X4] :
      ( rline(sK8(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f1042]) ).

fof(f1044,plain,
    ! [X3,X1,X4] :
      ( ron(X3,sK8(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f649]) ).

fof(f1046,plain,
    ! [X3,X1,X4] :
      ( ron(X1,sK8(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f648]) ).

fof(f1047,plain,
    ! [X3,X4] :
      ( ron(X4,sK8(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f1046]) ).

cnf(c_56,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f605]) ).

cnf(c_58,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f601]) ).

cnf(c_60,plain,
    sK3 != sK1,
    inference(cnf_transformation,[],[f861]) ).

cnf(c_107,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | X0 = X1
    | rline(sK8(X0,X1)) ),
    inference(cnf_transformation,[],[f1043]) ).

cnf(c_109,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | X0 = X1
    | ron(X1,sK8(X0,X1)) ),
    inference(cnf_transformation,[],[f1047]) ).

cnf(c_25040,plain,
    ( ~ rpoint(sK3)
    | ~ rpoint(sK1)
    | sK3 = sK1
    | rline(sK8(sK3,sK1)) ),
    inference(instantiation,[status(thm)],[c_107]) ).

cnf(c_26095,plain,
    ( ~ ron(sK1,sK8(sK3,X0))
    | ~ rline(sK8(sK3,X0))
    | ~ rpoint(X0)
    | X0 = sK3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26087,c_58]) ).

cnf(c_26296,plain,
    ( ~ rline(sK8(sK3,sK1))
    | ~ rpoint(sK3)
    | ~ rpoint(sK1)
    | sK3 = sK1 ),
    inference(superposition,[status(thm)],[c_109,c_26095]) ).

cnf(c_26297,plain,
    ~ rline(sK8(sK3,sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_26296,c_60,c_56,c_58]) ).

cnf(c_26298,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_26297,c_25040,c_60,c_56,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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 : Tue Aug 29 20:52:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.93/2.15  % SZS status Started for theBenchmark.p
% 9.93/2.15  % SZS status Theorem for theBenchmark.p
% 9.93/2.15  
% 9.93/2.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.93/2.15  
% 9.93/2.15  ------  iProver source info
% 9.93/2.15  
% 9.93/2.15  git: date: 2023-05-31 18:12:56 +0000
% 9.93/2.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.93/2.15  git: non_committed_changes: false
% 9.93/2.15  git: last_make_outside_of_git: false
% 9.93/2.15  
% 9.93/2.15  ------ Parsing...
% 9.93/2.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 9.93/2.15  
% 9.93/2.15  ------ Preprocessing... sup_sim: 0  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 
% 9.93/2.15  
% 9.93/2.15  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.93/2.15  
% 9.93/2.15  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.93/2.15  ------ Proving...
% 9.93/2.15  ------ Problem Properties 
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  clauses                                 269
% 9.93/2.15  conjectures                             1
% 9.93/2.15  EPR                                     66
% 9.93/2.15  Horn                                    173
% 9.93/2.15  unary                                   17
% 9.93/2.15  binary                                  42
% 9.93/2.15  lits                                    1699
% 9.93/2.15  lits eq                                 283
% 9.93/2.15  fd_pure                                 0
% 9.93/2.15  fd_pseudo                               0
% 9.93/2.15  fd_cond                                 0
% 9.93/2.15  fd_pseudo_cond                          65
% 9.93/2.15  AC symbols                              0
% 9.93/2.15  
% 9.93/2.15  ------ Schedule dynamic 5 is on 
% 9.93/2.15  
% 9.93/2.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  ------ 
% 9.93/2.15  Current options:
% 9.93/2.15  ------ 
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  ------ Proving...
% 9.93/2.15  
% 9.93/2.15  
% 9.93/2.15  % SZS status Theorem for theBenchmark.p
% 9.93/2.15  
% 9.93/2.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.93/2.15  
% 9.93/2.16  
%------------------------------------------------------------------------------