TSTP Solution File: GEO305+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 23:10:57 EDT 2023

% Result   : Theorem 7.95s 1.74s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f850)

% Comments : 
%------------------------------------------------------------------------------
fof(f455,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1287 = X0 )
   => ( rpoint(sK1)
      & vd1287 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f456,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
   => ( rpoint(sK2)
      & vd1288 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f457,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1289 = X2 )
   => ( rpoint(sK3)
      & vd1289 = sK3 ) ),
    introduced(choice_axiom,[]) ).

cnf(c_49,negated_conjecture,
    ~ ron(vd1303,vd1297),
    inference(cnf_transformation,[],[f845]) ).

cnf(c_53,plain,
    rR(sK3,sK1,vd1303),
    inference(cnf_transformation,[],[f848]) ).

cnf(c_55,plain,
    ron(sK3,vd1297),
    inference(cnf_transformation,[],[f849]) ).

cnf(c_56,plain,
    ron(sK1,vd1297),
    inference(cnf_transformation,[],[f850]) ).

cnf(c_57,plain,
    rline(vd1297),
    inference(cnf_transformation,[],[f586]) ).

fof(f5,axiom,
    ( rR(vd1288,vd1287,vd1299)
    & rpoint(vd1303)
    & rR(vd1289,vd1287,vd1302)
    & vd1302 = vd1303 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof(f580,plain,
    rR(vd1289,vd1287,vd1302),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,axiom,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1287 = X2 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
    & ? [X0] :
        ( rpoint(X0)
        & vd1289 = X0 )
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof(f596,plain,
    vd1288 = sK2,
    inference(cnf_transformation,[],[f458]) ).

fof(f128,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1287 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1289 = X2 )
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    inference(rectify,[],[f13]) ).

fof(f458,plain,
    ( rpoint(sK1)
    & vd1287 = sK1
    & rpoint(sK2)
    & vd1288 = sK2
    & rpoint(sK3)
    & vd1289 = sK3
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f128,f457,f456,f455]) ).

fof(f581,plain,
    rpoint(vd1303),
    inference(cnf_transformation,[],[f5]) ).

fof(f590,plain,
    vf(vd1287,vd1288) = vf(vd1287,vd1289),
    inference(cnf_transformation,[],[f458]) ).

fof(f594,plain,
    vd1289 = sK3,
    inference(cnf_transformation,[],[f458]) ).

fof(f595,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f458]) ).

fof(f598,plain,
    vd1287 = sK1,
    inference(cnf_transformation,[],[f458]) ).

fof(f14,axiom,
    ! [X3,X4,X5,X6,X7] :
      ( ( ? [X10] :
            ( rpoint(X10)
            & X3 = X10 )
        & ? [X9] :
            ( rpoint(X9)
            & X4 = X9 )
        & ? [X8] :
            ( rpoint(X8)
            & X5 = X8 )
        & rline(X7)
        & rR(X4,X3,X5)
        & ron(X3,X6)
        & ron(X4,X6)
        & X6 = X7 )
     => ron(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof(f856,plain,
    vf(sK1,sK2) = vf(sK1,sK3),
    inference(definition_unfolding,[],[f590,f598,f596,f598,f594]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & rR(X1,X0,X2)
        & ron(X0,X3)
        & ron(X1,X3)
        & X3 = X4 )
     => ron(X2,X3) ),
    inference(rectify,[],[f14]) ).

fof(f243,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(ennf_transformation,[],[f129]) ).

fof(f244,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(flattening,[],[f243]) ).

fof(f599,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f458]) ).

fof(f600,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f866,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f600]) ).

fof(f867,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X6,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f866]) ).

fof(f868,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ron(X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f867]) ).

fof(f869,plain,
    ! [X6,X7,X4,X5] :
      ( ron(X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f868]) ).

cnf(c_52,plain,
    rpoint(vd1303),
    inference(cnf_transformation,[],[f581]) ).

cnf(c_61,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f599]) ).

cnf(c_63,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f595]) ).

cnf(c_68,plain,
    ( ~ rR(X0,X1,X2)
    | ~ ron(X0,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ron(X2,X3) ),
    inference(cnf_transformation,[],[f869]) ).

cnf(c_24003,plain,
    ( ~ ron(sK1,X0)
    | ~ ron(sK3,X0)
    | ~ rline(X0)
    | ~ rpoint(vd1303)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ron(vd1303,X0) ),
    inference(superposition,[status(thm)],[c_53,c_68]) ).

cnf(c_24004,plain,
    ( ~ ron(sK1,X0)
    | ~ ron(sK3,X0)
    | ~ rline(X0)
    | ron(vd1303,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24003,c_63,c_61,c_52]) ).

cnf(c_27146,plain,
    ( ~ ron(sK3,vd1297)
    | ~ rline(vd1297)
    | ron(vd1303,vd1297) ),
    inference(superposition,[status(thm)],[c_56,c_24004]) ).

cnf(c_27154,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_27146,c_49,c_57,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 22:49:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.95/1.74  % SZS status Started for theBenchmark.p
% 7.95/1.74  % SZS status Theorem for theBenchmark.p
% 7.95/1.74  
% 7.95/1.74  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.95/1.74  
% 7.95/1.74  ------  iProver source info
% 7.95/1.74  
% 7.95/1.74  git: date: 2023-05-31 18:12:56 +0000
% 7.95/1.74  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.95/1.74  git: non_committed_changes: false
% 7.95/1.74  git: last_make_outside_of_git: false
% 7.95/1.74  
% 7.95/1.74  ------ Parsing...
% 7.95/1.74  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.95/1.74  
% 7.95/1.74  ------ 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 
% 7.95/1.74  
% 7.95/1.74  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.95/1.74  
% 7.95/1.74  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.95/1.74  ------ Proving...
% 7.95/1.74  ------ Problem Properties 
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  clauses                                 269
% 7.95/1.74  conjectures                             1
% 7.95/1.74  EPR                                     71
% 7.95/1.74  Horn                                    176
% 7.95/1.74  unary                                   21
% 7.95/1.74  binary                                  42
% 7.95/1.74  lits                                    1668
% 7.95/1.74  lits eq                                 265
% 7.95/1.74  fd_pure                                 0
% 7.95/1.74  fd_pseudo                               0
% 7.95/1.74  fd_cond                                 0
% 7.95/1.74  fd_pseudo_cond                          62
% 7.95/1.74  AC symbols                              0
% 7.95/1.74  
% 7.95/1.74  ------ Schedule dynamic 5 is on 
% 7.95/1.74  
% 7.95/1.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  ------ 
% 7.95/1.74  Current options:
% 7.95/1.74  ------ 
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  ------ Proving...
% 7.95/1.74  
% 7.95/1.74  
% 7.95/1.74  % SZS status Theorem for theBenchmark.p
% 7.95/1.74  
% 7.95/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.74  
% 7.95/1.74  
%------------------------------------------------------------------------------