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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO088-1 : TPTP v8.2.0. Released v2.4.0.
% 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 : Mon Jun 24 06:13:03 EDT 2024

% Result   : Unsatisfiable 52.33s 7.77s
% Output   : CNFRefutation 52.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   36 (   5 unt;  15 nHn;  35 RR)
%            Number of literals    :  108 (   0 equ;  58 neg)
%            Maximal clause size   :    7 (   3 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   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_67) ).

cnf(c_50,negated_conjecture,
    end_point(sk16,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_68) ).

cnf(c_51,negated_conjecture,
    incident_c(sk16,sk15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_69) ).

cnf(c_52,negated_conjecture,
    ~ end_point(sk16,sk15),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).

cnf(c_193,plain,
    ( ~ incident_c(sk16,sk15)
    | part_of(ax0_sk3(sk15,sk16),sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_194,plain,
    ( ~ incident_c(sk16,sk15)
    | part_of(ax0_sk4(sk15,sk16),sk15)
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_195,plain,
    ( ~ incident_c(sk16,sk15)
    | incident_c(sk16,ax0_sk3(sk15,sk16))
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_200,plain,
    ( ~ incident_c(sk16,sk15)
    | incident_c(sk16,ax0_sk4(sk15,sk16))
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_201,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_202,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_296,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_1217,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),X0)
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | ~ incident_c(sk16,ax0_sk3(sk15,sk16))
    | ~ incident_c(sk16,ax0_sk4(sk15,sk16))
    | ~ end_point(sk16,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_296]) ).

cnf(c_3591,plain,
    ( ~ part_of(ax0_sk3(sk15,sk16),sk14)
    | ~ part_of(ax0_sk4(sk15,sk16),sk14)
    | ~ incident_c(sk16,ax0_sk3(sk15,sk16))
    | ~ incident_c(sk16,ax0_sk4(sk15,sk16))
    | ~ end_point(sk16,sk14)
    | 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_1217]) ).

cnf(c_8128,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14)
    | part_of(ax0_sk3(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_8129,plain,
    ( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16))
    | part_of(ax0_sk3(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_13671,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14)
    | part_of(ax0_sk4(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_13672,plain,
    ( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16))
    | part_of(ax0_sk4(sk15,sk16),sk14) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_17248,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16))
    | ~ part_of(ax0_sk3(sk15,sk16),X0)
    | incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_17249,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16))
    | ~ part_of(ax0_sk3(sk15,sk16),sk15)
    | incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk15) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

cnf(c_19343,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16))
    | ~ part_of(ax0_sk4(sk15,sk16),X0)
    | incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_19344,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16))
    | ~ part_of(ax0_sk4(sk15,sk16),sk15)
    | incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk15) ),
    inference(instantiation,[status(thm)],[c_19343]) ).

cnf(c_27736,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),X0)
    | ~ part_of(X0,sk14)
    | incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_27737,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk15)
    | ~ part_of(sk15,sk14)
    | incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14) ),
    inference(instantiation,[status(thm)],[c_27736]) ).

cnf(c_60478,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0)
    | ~ part_of(X0,sk14)
    | incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_60479,plain,
    ( ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk15)
    | ~ part_of(sk15,sk14)
    | incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14) ),
    inference(instantiation,[status(thm)],[c_60478]) ).

cnf(c_60480,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_60479,c_27737,c_19344,c_17249,c_13671,c_13672,c_8128,c_8129,c_3591,c_202,c_201,c_200,c_195,c_194,c_193,c_52,c_49,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO088-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % 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 Jun 21 09:50:54 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 52.33/7.77  % SZS status Started for theBenchmark.p
% 52.33/7.77  % SZS status Unsatisfiable for theBenchmark.p
% 52.33/7.77  
% 52.33/7.77  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 52.33/7.77  
% 52.33/7.77  ------  iProver source info
% 52.33/7.77  
% 52.33/7.77  git: date: 2024-06-12 09:56:46 +0000
% 52.33/7.77  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 52.33/7.77  git: non_committed_changes: false
% 52.33/7.77  
% 52.33/7.77  ------ Parsing...successful
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 52.33/7.77  
% 52.33/7.77  ------ Preprocessing...
% 52.33/7.77  
% 52.33/7.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 52.33/7.77  ------ Proving...
% 52.33/7.77  ------ Problem Properties 
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  clauses                                 47
% 52.33/7.77  conjectures                             4
% 52.33/7.77  EPR                                     19
% 52.33/7.77  Horn                                    31
% 52.33/7.77  unary                                   5
% 52.33/7.77  binary                                  18
% 52.33/7.77  lits                                    137
% 52.33/7.77  lits eq                                 12
% 52.33/7.77  fd_pure                                 0
% 52.33/7.77  fd_pseudo                               0
% 52.33/7.77  fd_cond                                 0
% 52.33/7.77  fd_pseudo_cond                          7
% 52.33/7.77  AC symbols                              0
% 52.33/7.77  
% 52.33/7.77  ------ Input Options Time Limit: Unbounded
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  ------ 
% 52.33/7.77  Current options:
% 52.33/7.77  ------ 
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  ------ Proving...
% 52.33/7.77  
% 52.33/7.77  
% 52.33/7.77  % SZS status Unsatisfiable for theBenchmark.p
% 52.33/7.77  
% 52.33/7.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.33/7.77  
% 52.33/7.78  
%------------------------------------------------------------------------------