TSTP Solution File: GEO089-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 23:09:18 EDT 2023

% Result   : Unsatisfiable 24.86s 4.19s
% Output   : CNFRefutation 24.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   51 (   8 unt;  11 nHn;  50 RR)
%            Number of literals    :  139 (   0 equ;  98 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    part_of(sk16,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_67) ).

cnf(c_50,negated_conjecture,
    inner_point(sk15,sk16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_68) ).

cnf(c_51,negated_conjecture,
    ~ inner_point(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_69) ).

cnf(c_52,plain,
    ( ~ part_of(X0,X1)
    | ~ incident_c(X2,X0)
    | incident_c(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).

cnf(c_53,plain,
    ( incident_c(ax0_sk1(X0,X1),X0)
    | part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).

cnf(c_54,plain,
    ( ~ incident_c(ax0_sk1(X0,X1),X1)
    | part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).

cnf(c_65,plain,
    ( ~ part_of(X0,X1)
    | ~ part_of(X2,X1)
    | ~ incident_c(X3,X0)
    | ~ incident_c(X3,X2)
    | ~ end_point(X3,X1)
    | part_of(X0,X2)
    | part_of(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).

cnf(c_66,plain,
    ( ~ incident_c(X0,X1)
    | part_of(ax0_sk3(X1,X0),X1)
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).

cnf(c_67,plain,
    ( ~ incident_c(X0,X1)
    | part_of(ax0_sk4(X1,X0),X1)
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).

cnf(c_68,plain,
    ( ~ incident_c(X0,X1)
    | incident_c(X0,ax0_sk3(X1,X0))
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).

cnf(c_69,plain,
    ( ~ incident_c(X0,X1)
    | incident_c(X0,ax0_sk4(X1,X0))
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).

cnf(c_70,plain,
    ( ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1))
    | ~ incident_c(X1,X0)
    | end_point(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).

cnf(c_71,plain,
    ( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
    | ~ incident_c(X1,X0)
    | end_point(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).

cnf(c_72,plain,
    ( ~ inner_point(X0,X1)
    | incident_c(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).

cnf(c_73,plain,
    ( ~ inner_point(X0,X1)
    | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).

cnf(c_74,plain,
    ( ~ incident_c(X0,X1)
    | inner_point(X0,X1)
    | end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).

cnf(c_1047,plain,
    ( ~ inner_point(sk15,sk16)
    | incident_c(sk15,sk16) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_1067,plain,
    ( ~ part_of(sk16,X0)
    | ~ incident_c(sk15,sk16)
    | incident_c(sk15,X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_1068,plain,
    ( ~ part_of(sk16,sk14)
    | ~ incident_c(sk15,sk16)
    | incident_c(sk15,sk14) ),
    inference(instantiation,[status(thm)],[c_1067]) ).

cnf(c_1079,plain,
    ( ~ incident_c(sk15,sk16)
    | incident_c(sk15,ax0_sk4(sk16,sk15))
    | end_point(sk15,sk16) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_1080,plain,
    ( ~ incident_c(sk15,sk16)
    | incident_c(sk15,ax0_sk3(sk16,sk15))
    | end_point(sk15,sk16) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_1087,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15))
    | ~ incident_c(sk15,sk16)
    | end_point(sk15,sk16) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_1213,plain,
    ( ~ inner_point(sk15,sk16)
    | ~ end_point(sk15,sk16) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_1277,plain,
    ( ~ incident_c(sk15,X0)
    | inner_point(sk15,X0)
    | end_point(sk15,X0) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_1278,plain,
    ( ~ incident_c(sk15,sk14)
    | inner_point(sk15,sk14)
    | end_point(sk15,sk14) ),
    inference(instantiation,[status(thm)],[c_1277]) ).

cnf(c_3549,plain,
    ( ~ incident_c(sk15,sk14)
    | end_point(sk15,sk14) ),
    inference(resolution,[status(thm)],[c_51,c_74]) ).

cnf(c_3550,plain,
    end_point(sk15,sk14),
    inference(global_subsumption_just,[status(thm)],[c_3549,c_50,c_49,c_51,c_1047,c_1068,c_1278]) ).

cnf(c_3824,plain,
    ( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
    | ~ inner_point(X1,X0)
    | ~ incident_c(X1,X0) ),
    inference(resolution,[status(thm)],[c_73,c_71]) ).

cnf(c_3948,plain,
    ( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
    | ~ inner_point(X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3824,c_72]) ).

cnf(c_4077,plain,
    ~ part_of(ax0_sk4(sk16,sk15),ax0_sk3(sk16,sk15)),
    inference(resolution,[status(thm)],[c_3948,c_50]) ).

cnf(c_4116,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),X0)
    | ~ part_of(ax0_sk4(sk16,sk15),X0)
    | ~ incident_c(X1,ax0_sk3(sk16,sk15))
    | ~ incident_c(X1,ax0_sk4(sk16,sk15))
    | ~ end_point(X1,X0)
    | part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15)) ),
    inference(resolution,[status(thm)],[c_4077,c_65]) ).

cnf(c_4118,plain,
    ( ~ end_point(X1,X0)
    | ~ incident_c(X1,ax0_sk4(sk16,sk15))
    | ~ incident_c(X1,ax0_sk3(sk16,sk15))
    | ~ part_of(ax0_sk4(sk16,sk15),X0)
    | ~ part_of(ax0_sk3(sk16,sk15),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4116,c_50,c_1047,c_1087,c_1213,c_4116]) ).

cnf(c_4119,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),X0)
    | ~ part_of(ax0_sk4(sk16,sk15),X0)
    | ~ incident_c(X1,ax0_sk3(sk16,sk15))
    | ~ incident_c(X1,ax0_sk4(sk16,sk15))
    | ~ end_point(X1,X0) ),
    inference(renaming,[status(thm)],[c_4118]) ).

cnf(c_4342,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(ax0_sk4(sk16,sk15),sk14)
    | ~ incident_c(sk15,ax0_sk3(sk16,sk15))
    | ~ incident_c(sk15,ax0_sk4(sk16,sk15)) ),
    inference(resolution,[status(thm)],[c_4119,c_3550]) ).

cnf(c_4343,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(ax0_sk4(sk16,sk15),sk14) ),
    inference(global_subsumption_just,[status(thm)],[c_4342,c_50,c_1047,c_1080,c_1079,c_1213,c_4342]) ).

cnf(c_5052,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),sk14)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14) ),
    inference(resolution,[status(thm)],[c_4343,c_54]) ).

cnf(c_5620,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),X0)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(X0,sk14) ),
    inference(resolution,[status(thm)],[c_5052,c_52]) ).

cnf(c_5668,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),X0)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(X0,X1)
    | ~ part_of(X1,sk14) ),
    inference(resolution,[status(thm)],[c_5620,c_52]) ).

cnf(c_5906,plain,
    ( ~ part_of(ax0_sk4(sk16,sk15),X0)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(X0,sk14)
    | part_of(ax0_sk4(sk16,sk15),sk14) ),
    inference(resolution,[status(thm)],[c_5668,c_53]) ).

cnf(c_5907,plain,
    ( ~ part_of(X0,sk14)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(ax0_sk4(sk16,sk15),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_5906,c_4343,c_5906]) ).

cnf(c_5908,plain,
    ( ~ part_of(ax0_sk4(sk16,sk15),X0)
    | ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(X0,sk14) ),
    inference(renaming,[status(thm)],[c_5907]) ).

cnf(c_6267,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),sk14)
    | ~ part_of(sk16,sk14)
    | ~ incident_c(sk15,sk16)
    | end_point(sk15,sk16) ),
    inference(resolution,[status(thm)],[c_5908,c_67]) ).

cnf(c_6268,plain,
    ~ part_of(ax0_sk3(sk16,sk15),sk14),
    inference(global_subsumption_just,[status(thm)],[c_6267,c_50,c_49,c_1047,c_1213,c_6267]) ).

cnf(c_6493,plain,
    ~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),sk14),
    inference(resolution,[status(thm)],[c_6268,c_54]) ).

cnf(c_7129,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),X0)
    | ~ part_of(X0,sk14) ),
    inference(resolution,[status(thm)],[c_6493,c_52]) ).

cnf(c_7141,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),X0)
    | ~ part_of(X0,X1)
    | ~ part_of(X1,sk14) ),
    inference(resolution,[status(thm)],[c_7129,c_52]) ).

cnf(c_7250,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),X0)
    | ~ part_of(X0,sk14)
    | part_of(ax0_sk3(sk16,sk15),sk14) ),
    inference(resolution,[status(thm)],[c_7141,c_53]) ).

cnf(c_7251,plain,
    ( ~ part_of(X0,sk14)
    | ~ part_of(ax0_sk3(sk16,sk15),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_7250,c_50,c_49,c_1047,c_1213,c_6267,c_7250]) ).

cnf(c_7252,plain,
    ( ~ part_of(ax0_sk3(sk16,sk15),X0)
    | ~ part_of(X0,sk14) ),
    inference(renaming,[status(thm)],[c_7251]) ).

cnf(c_7443,plain,
    ( ~ part_of(sk16,sk14)
    | ~ incident_c(sk15,sk16)
    | end_point(sk15,sk16) ),
    inference(resolution,[status(thm)],[c_7252,c_66]) ).

cnf(c_7444,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7443,c_1213,c_1047,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.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 23:45:29 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.86/4.19  % SZS status Started for theBenchmark.p
% 24.86/4.19  % SZS status Unsatisfiable for theBenchmark.p
% 24.86/4.19  
% 24.86/4.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.86/4.19  
% 24.86/4.19  ------  iProver source info
% 24.86/4.19  
% 24.86/4.19  git: date: 2023-05-31 18:12:56 +0000
% 24.86/4.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.86/4.19  git: non_committed_changes: false
% 24.86/4.19  git: last_make_outside_of_git: false
% 24.86/4.19  
% 24.86/4.19  ------ Parsing...successful
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  ------ Preprocessing...
% 24.86/4.19  
% 24.86/4.19  ------ Preprocessing...
% 24.86/4.19  
% 24.86/4.19  ------ Preprocessing...
% 24.86/4.19  ------ Proving...
% 24.86/4.19  ------ Problem Properties 
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  clauses                                 46
% 24.86/4.19  conjectures                             3
% 24.86/4.19  EPR                                     18
% 24.86/4.19  Horn                                    30
% 24.86/4.19  unary                                   4
% 24.86/4.19  binary                                  18
% 24.86/4.19  lits                                    136
% 24.86/4.19  lits eq                                 12
% 24.86/4.19  fd_pure                                 0
% 24.86/4.19  fd_pseudo                               0
% 24.86/4.19  fd_cond                                 0
% 24.86/4.19  fd_pseudo_cond                          7
% 24.86/4.19  AC symbols                              0
% 24.86/4.19  
% 24.86/4.19  ------ Input Options Time Limit: Unbounded
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  ------ 
% 24.86/4.19  Current options:
% 24.86/4.19  ------ 
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  ------ Proving...
% 24.86/4.19  
% 24.86/4.19  
% 24.86/4.19  % SZS status Unsatisfiable for theBenchmark.p
% 24.86/4.19  
% 24.86/4.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.86/4.19  
% 24.86/4.20  
%------------------------------------------------------------------------------