TSTP Solution File: GEO088-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO088-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:16:22 EDT 2024

% Result   : Unsatisfiable 24.57s 3.99s
% Output   : CNFRefutation 24.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   41 (   8 unt;  10 nHn;  40 RR)
%            Number of literals    :  122 (   0 equ;  86 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_67) ).

cnf(c_50,negated_conjecture,
    end_point(sk16,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_68) ).

cnf(c_51,negated_conjecture,
    incident_c(sk16,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_69) ).

cnf(c_52,negated_conjecture,
    ~ end_point(sk16,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_70) ).

cnf(c_53,plain,
    ( ~ part_of(X0,X1)
    | ~ incident_c(X2,X0)
    | incident_c(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).

cnf(c_54,plain,
    ( incident_c(ax0_sk1(X0,X1),X0)
    | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).

cnf(c_55,plain,
    ( ~ incident_c(ax0_sk1(X0,X1),X1)
    | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).

cnf(c_66,plain,
    ( ~ part_of(X0,X1)
    | ~ part_of(X2,X1)
    | ~ end_point(X3,X1)
    | ~ incident_c(X3,X0)
    | ~ incident_c(X3,X2)
    | part_of(X0,X2)
    | part_of(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).

cnf(c_67,plain,
    ( ~ incident_c(X0,X1)
    | part_of(ax0_sk3(X1,X0),X1)
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).

cnf(c_68,plain,
    ( ~ incident_c(X0,X1)
    | part_of(ax0_sk4(X1,X0),X1)
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).

cnf(c_69,plain,
    ( ~ incident_c(X0,X1)
    | incident_c(X0,ax0_sk3(X1,X0))
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).

cnf(c_70,plain,
    ( ~ incident_c(X0,X1)
    | incident_c(X0,ax0_sk4(X1,X0))
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).

cnf(c_71,plain,
    ( ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1))
    | ~ incident_c(X1,X0)
    | end_point(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).

cnf(c_72,plain,
    ( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
    | ~ incident_c(X1,X0)
    | end_point(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).

cnf(c_1056,plain,
    ( ~ incident_c(sk16,sk15)
    | part_of(ax0_sk3(sk15,sk16),sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_1057,plain,
    ( ~ incident_c(sk16,sk15)
    | part_of(ax0_sk4(sk15,sk16),sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_1058,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
    | ~ incident_c(sk16,sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_1059,plain,
    ( ~ part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16))
    | ~ incident_c(sk16,sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_1060,plain,
    ( ~ incident_c(sk16,sk15)
    | incident_c(sk16,ax0_sk3(sk15,sk16))
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_2819,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ incident_c(X1,ax0_sk3(sk15,sk16))
    | ~ incident_c(X1,ax0_sk4(sk15,sk16))
    | ~ end_point(X1,X0)
    | part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
    | part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_3438,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
    | ~ incident_c(sk16,sk15) ),
    inference(resolution,[status(thm)],[c_71,c_52]) ).

cnf(c_3439,plain,
    ~ part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16)),
    inference(global_subsumption_just,[status(thm)],[c_3438,c_51,c_52,c_1058]) ).

cnf(c_3500,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ incident_c(X1,ax0_sk3(sk15,sk16))
    | ~ incident_c(X1,ax0_sk4(sk15,sk16))
    | ~ end_point(X1,X0)
    | part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16)) ),
    inference(resolution,[status(thm)],[c_3439,c_66]) ).

cnf(c_3502,plain,
    ( ~ end_point(X1,X0)
    | ~ incident_c(X1,ax0_sk4(sk15,sk16))
    | ~ incident_c(X1,ax0_sk3(sk15,sk16))
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ part_of(ax0_sk3(sk15,sk16),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3500,c_51,c_52,c_1058,c_1059,c_2819]) ).

cnf(c_3503,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ incident_c(X1,ax0_sk3(sk15,sk16))
    | ~ incident_c(X1,ax0_sk4(sk15,sk16))
    | ~ end_point(X1,X0) ),
    inference(renaming,[status(thm)],[c_3502]) ).

cnf(c_3917,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ incident_c(sk16,ax0_sk3(sk15,sk16))
    | ~ end_point(sk16,X0)
    | ~ incident_c(sk16,sk15)
    | end_point(sk16,sk15) ),
    inference(resolution,[status(thm)],[c_3503,c_70]) ).

cnf(c_3918,plain,
    ( ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ end_point(sk16,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3917,c_51,c_52,c_1060,c_3917]) ).

cnf(c_3919,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ end_point(sk16,X0) ),
    inference(renaming,[status(thm)],[c_3918]) ).

cnf(c_4507,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(ax0_sk4(sk15,sk16),sk14) ),
    inference(resolution,[status(thm)],[c_3919,c_50]) ).

cnf(c_4642,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14)
    | ~ part_of(ax0_sk3(sk15,sk16),sk14) ),
    inference(resolution,[status(thm)],[c_4507,c_55]) ).

cnf(c_5030,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),X0)
    | ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(X0,sk14) ),
    inference(resolution,[status(thm)],[c_4642,c_53]) ).

cnf(c_5339,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),X0)
    | ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(X0,X1)
    | ~ part_of(X1,sk14) ),
    inference(resolution,[status(thm)],[c_5030,c_53]) ).

cnf(c_5597,plain,
    ( ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(X0,sk14)
    | part_of(ax0_sk4(sk15,sk16),sk14) ),
    inference(resolution,[status(thm)],[c_5339,c_54]) ).

cnf(c_5598,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(ax0_sk4(sk15,sk16),sk15)
    | ~ part_of(sk15,sk14)
    | part_of(ax0_sk4(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_5597]) ).

cnf(c_5599,plain,
    ~ part_of(ax0_sk3(sk15,sk16),sk14),
    inference(global_subsumption_just,[status(thm)],[c_5597,c_51,c_49,c_52,c_1057,c_4507,c_5598]) ).

cnf(c_5735,plain,
    ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14),
    inference(resolution,[status(thm)],[c_5599,c_55]) ).

cnf(c_6553,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0)
    | ~ part_of(X0,sk14) ),
    inference(resolution,[status(thm)],[c_5735,c_53]) ).

cnf(c_6686,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0)
    | ~ part_of(X0,X1)
    | ~ part_of(X1,sk14) ),
    inference(resolution,[status(thm)],[c_6553,c_53]) ).

cnf(c_6767,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(X0,sk14)
    | part_of(ax0_sk3(sk15,sk16),sk14) ),
    inference(resolution,[status(thm)],[c_6686,c_54]) ).

cnf(c_6768,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),sk15)
    | ~ part_of(sk15,sk14)
    | part_of(ax0_sk3(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_6767]) ).

cnf(c_6769,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6768,c_5599,c_1056,c_52,c_49,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : GEO088-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n002.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Fri May  3 01:45:42 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  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
% 24.57/3.99  % SZS status Started for theBenchmark.p
% 24.57/3.99  % SZS status Unsatisfiable for theBenchmark.p
% 24.57/3.99  
% 24.57/3.99  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.57/3.99  
% 24.57/3.99  ------  iProver source info
% 24.57/3.99  
% 24.57/3.99  git: date: 2024-05-02 19:28:25 +0000
% 24.57/3.99  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.57/3.99  git: non_committed_changes: false
% 24.57/3.99  
% 24.57/3.99  ------ Parsing...successful
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  ------ Preprocessing...
% 24.57/3.99  
% 24.57/3.99  ------ Preprocessing...
% 24.57/3.99  
% 24.57/3.99  ------ Preprocessing...
% 24.57/3.99  ------ Proving...
% 24.57/3.99  ------ Problem Properties 
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  clauses                                 47
% 24.57/3.99  conjectures                             4
% 24.57/3.99  EPR                                     19
% 24.57/3.99  Horn                                    31
% 24.57/3.99  unary                                   5
% 24.57/3.99  binary                                  18
% 24.57/3.99  lits                                    137
% 24.57/3.99  lits eq                                 12
% 24.57/3.99  fd_pure                                 0
% 24.57/3.99  fd_pseudo                               0
% 24.57/3.99  fd_cond                                 0
% 24.57/3.99  fd_pseudo_cond                          7
% 24.57/3.99  AC symbols                              0
% 24.57/3.99  
% 24.57/3.99  ------ Input Options Time Limit: Unbounded
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  ------ 
% 24.57/3.99  Current options:
% 24.57/3.99  ------ 
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  ------ Proving...
% 24.57/3.99  
% 24.57/3.99  
% 24.57/3.99  % SZS status Unsatisfiable for theBenchmark.p
% 24.57/3.99  
% 24.57/3.99  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.57/3.99  
% 24.57/3.99  
%------------------------------------------------------------------------------