TSTP Solution File: GEO233+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Fri May  3 02:17:09 EDT 2024

% Result   : Theorem 1.85s 1.14s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).

fof(f11,axiom,
    ! [X1,X2,X5] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X2,X5)
        | unequally_directed_lines(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).

fof(f14,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).

fof(f16,axiom,
    ! [X1,X2] :
      ~ ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).

fof(f18,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2)
        & line(X2)
        & line(X1) )
     => point(intersection_point(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco2) ).

fof(f22,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
        & ~ apart_point_and_line(intersection_point(X1,X2),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco6) ).

fof(f32,conjecture,
    ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    inference(negated_conjecture,[],[f32]) ).

fof(f41,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f46,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1)
        & line(X1)
        & line(X0) )
     => point(intersection_point(X0,X1)) ),
    inference(rectify,[],[f18]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f59,plain,
    ~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
    inference(rectify,[],[f33]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f66]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f78]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f84]) ).

fof(f96,plain,
    ? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
    inference(ennf_transformation,[],[f59]) ).

fof(f97,plain,
    ( ? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0)
   => unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97]) ).

fof(f105,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f41]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f75]) ).

fof(f116,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f75]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f134,plain,
    unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_55,plain,
    ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_56,plain,
    ( ~ unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X0,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_62,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1)
    | left_convergent_lines(X0,reverse_line(X1))
    | left_convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_65,plain,
    ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_66,plain,
    ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_68,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1)
    | ~ line(X0)
    | ~ line(X1)
    | point(intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_74,plain,
    ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
    | ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_84,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_109,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_66,c_65,c_62]) ).

cnf(c_125,plain,
    ( ~ unequally_directed_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_109]) ).

cnf(c_126,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(renaming,[status(thm)],[c_125]) ).

cnf(c_238,plain,
    reverse_line(sK0) = sP0_iProver_def,
    definition ).

cnf(c_239,plain,
    reverse_line(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_240,negated_conjecture,
    unequally_directed_lines(sP1_iProver_def,sK0),
    inference(demodulation,[status(thm)],[c_84,c_238,c_239]) ).

cnf(c_337,plain,
    ( ~ unequally_directed_lines(X0,sK0)
    | ~ unequally_directed_lines(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_238,c_126]) ).

cnf(c_338,plain,
    ( ~ unequally_directed_lines(X0,sP0_iProver_def)
    | ~ unequally_directed_lines(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_239,c_126]) ).

cnf(c_343,plain,
    ( ~ unequally_directed_lines(sK0,sP0_iProver_def)
    | ~ unequally_directed_lines(sK0,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_338]) ).

cnf(c_358,plain,
    ( unequally_directed_lines(sK0,X0)
    | unequally_directed_lines(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_240,c_56]) ).

cnf(c_366,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(sK0,X1)
    | unequally_directed_lines(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_358,c_56]) ).

cnf(c_388,plain,
    ( unequally_directed_lines(X0,sK0)
    | unequally_directed_lines(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_366,c_55]) ).

cnf(c_399,plain,
    ( ~ unequally_directed_lines(X0,sK0)
    | unequally_directed_lines(sP1_iProver_def,X0)
    | unequally_directed_lines(sK0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_366,c_337]) ).

cnf(c_402,plain,
    ( unequally_directed_lines(sK0,sP1_iProver_def)
    | unequally_directed_lines(sP1_iProver_def,sP1_iProver_def) ),
    inference(equality_factoring,[status(thm)],[c_366]) ).

cnf(c_404,plain,
    unequally_directed_lines(sK0,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_402,c_55]) ).

cnf(c_458,plain,
    unequally_directed_lines(sP1_iProver_def,X0),
    inference(global_subsumption_just,[status(thm)],[c_388,c_343,c_404,c_388,c_399]) ).

cnf(c_460,plain,
    $false,
    inference(superposition,[status(thm)],[c_458,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 01:47:07 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.85/1.14  % SZS status Started for theBenchmark.p
% 1.85/1.14  % SZS status Theorem for theBenchmark.p
% 1.85/1.14  
% 1.85/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.85/1.14  
% 1.85/1.14  ------  iProver source info
% 1.85/1.14  
% 1.85/1.14  git: date: 2024-05-02 19:28:25 +0000
% 1.85/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.85/1.14  git: non_committed_changes: false
% 1.85/1.14  
% 1.85/1.14  ------ Parsing...
% 1.85/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.85/1.14  
% 1.85/1.14  ------ Preprocessing... sf_s  rm: 15 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.85/1.14  
% 1.85/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.85/1.14  
% 1.85/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.85/1.14  ------ Proving...
% 1.85/1.14  ------ Problem Properties 
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  clauses                                 8
% 1.85/1.14  conjectures                             1
% 1.85/1.14  EPR                                     3
% 1.85/1.14  Horn                                    7
% 1.85/1.14  unary                                   6
% 1.85/1.14  binary                                  1
% 1.85/1.14  lits                                    11
% 1.85/1.14  lits eq                                 2
% 1.85/1.14  fd_pure                                 0
% 1.85/1.14  fd_pseudo                               0
% 1.85/1.14  fd_cond                                 0
% 1.85/1.14  fd_pseudo_cond                          0
% 1.85/1.14  AC symbols                              0
% 1.85/1.14  
% 1.85/1.14  ------ Schedule dynamic 5 is on 
% 1.85/1.14  
% 1.85/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  ------ 
% 1.85/1.14  Current options:
% 1.85/1.14  ------ 
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  ------ Proving...
% 1.85/1.14  
% 1.85/1.14  
% 1.85/1.14  % SZS status Theorem for theBenchmark.p
% 1.85/1.14  
% 1.85/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/1.14  
% 1.85/1.14  
%------------------------------------------------------------------------------