TSTP Solution File: GEO124-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 23:09:31 EDT 2023

% Result   : Unsatisfiable 9.08s 2.25s
% Output   : CNFRefutation 9.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  11 unt;   1 nHn;  34 RR)
%            Number of literals    :   78 (  31 equ;  52 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   65 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    start_point(sk26,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_133) ).

cnf(c_50,negated_conjecture,
    start_point(sk27,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_134) ).

cnf(c_51,negated_conjecture,
    sk26 != sk27,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_135) ).

cnf(c_56,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ ordered_by(X0,X2,X3)
    | between_o(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',between_o_defn_5) ).

cnf(c_58,plain,
    ( ~ start_point(X0,X1)
    | incident_o(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',start_point_defn_7) ).

cnf(c_59,plain,
    ( ~ start_point(X0,X1)
    | ~ incident_o(X2,X1)
    | X0 = X2
    | ordered_by(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).

cnf(c_68,plain,
    ( ~ ordered_by(X0,X1,X2)
    | incident_o(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o1_17) ).

cnf(c_75,plain,
    ( ~ between_o(X0,X1,X2,X3)
    | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o3_24) ).

cnf(c_94,negated_conjecture,
    ( X0 != X1
    | ~ between_c(X2,X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).

cnf(c_148,negated_conjecture,
    ~ between_c(X0,X1,X2,X1),
    inference(unflattening,[status(thm)],[c_94]) ).

cnf(c_302,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_304,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_375,plain,
    ( ~ start_point(sk27,sk25)
    | incident_o(sk27,sk25) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_385,plain,
    ( sk26 != X0
    | sk27 != X0
    | sk26 = sk27 ),
    inference(instantiation,[status(thm)],[c_304]) ).

cnf(c_646,plain,
    ( X0 != X1
    | sk27 != X1
    | sk27 = X0 ),
    inference(instantiation,[status(thm)],[c_304]) ).

cnf(c_676,plain,
    sk26 = sk26,
    inference(instantiation,[status(thm)],[c_302]) ).

cnf(c_708,plain,
    sk27 = sk27,
    inference(instantiation,[status(thm)],[c_302]) ).

cnf(c_1021,plain,
    ( X0 != X1
    | sk26 != X1
    | sk26 = X0 ),
    inference(instantiation,[status(thm)],[c_304]) ).

cnf(c_1835,plain,
    ( X0 != sk27
    | sk27 != sk27
    | sk27 = X0 ),
    inference(instantiation,[status(thm)],[c_646]) ).

cnf(c_2133,plain,
    ~ between_o(X0,X1,X2,X1),
    inference(superposition,[status(thm)],[c_75,c_148]) ).

cnf(c_2271,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ ordered_by(X0,X2,X1) ),
    inference(superposition,[status(thm)],[c_56,c_2133]) ).

cnf(c_2304,plain,
    ( X0 != sk26
    | sk26 != sk26
    | sk26 = X0 ),
    inference(instantiation,[status(thm)],[c_1021]) ).

cnf(c_2342,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ start_point(X2,X0)
    | ~ incident_o(X1,X0)
    | X1 = X2 ),
    inference(superposition,[status(thm)],[c_59,c_2271]) ).

cnf(c_2698,plain,
    ~ between_o(X0,X1,X2,X1),
    inference(superposition,[status(thm)],[c_75,c_148]) ).

cnf(c_2723,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ ordered_by(X0,X2,X1) ),
    inference(superposition,[status(thm)],[c_56,c_2698]) ).

cnf(c_2744,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ start_point(X2,X0)
    | ~ incident_o(X1,X0)
    | X1 = X2 ),
    inference(superposition,[status(thm)],[c_59,c_2723]) ).

cnf(c_2799,plain,
    ( ~ start_point(X2,X0)
    | ~ ordered_by(X0,X1,X2)
    | X1 = X2 ),
    inference(global_subsumption_just,[status(thm)],[c_2744,c_68,c_2342]) ).

cnf(c_2800,plain,
    ( ~ ordered_by(X0,X1,X2)
    | ~ start_point(X2,X0)
    | X1 = X2 ),
    inference(renaming,[status(thm)],[c_2799]) ).

cnf(c_2802,plain,
    ( ~ start_point(X0,X1)
    | ~ start_point(X2,X1)
    | ~ incident_o(X2,X1)
    | X0 = X2 ),
    inference(superposition,[status(thm)],[c_59,c_2800]) ).

cnf(c_3573,plain,
    ( ~ start_point(X0,sk25)
    | ~ incident_o(X0,sk25)
    | X0 = sk26 ),
    inference(superposition,[status(thm)],[c_49,c_2802]) ).

cnf(c_3574,plain,
    ( ~ start_point(X0,sk25)
    | ~ incident_o(X0,sk25)
    | X0 = sk27 ),
    inference(superposition,[status(thm)],[c_50,c_2802]) ).

cnf(c_3579,plain,
    ( ~ incident_o(X0,sk25)
    | ~ start_point(X0,sk25) ),
    inference(global_subsumption_just,[status(thm)],[c_3573,c_51,c_385,c_676,c_708,c_1835,c_2304,c_3574,c_3573]) ).

cnf(c_3580,plain,
    ( ~ start_point(X0,sk25)
    | ~ incident_o(X0,sk25) ),
    inference(renaming,[status(thm)],[c_3579]) ).

cnf(c_3583,plain,
    ~ incident_o(sk27,sk25),
    inference(superposition,[status(thm)],[c_50,c_3580]) ).

cnf(c_3585,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3583,c_375,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 21:30:01 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.08/2.25  % SZS status Started for theBenchmark.p
% 9.08/2.25  % SZS status Unsatisfiable for theBenchmark.p
% 9.08/2.25  
% 9.08/2.25  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.08/2.25  
% 9.08/2.25  ------  iProver source info
% 9.08/2.25  
% 9.08/2.25  git: date: 2023-05-31 18:12:56 +0000
% 9.08/2.25  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.08/2.25  git: non_committed_changes: false
% 9.08/2.25  git: last_make_outside_of_git: false
% 9.08/2.25  
% 9.08/2.25  ------ Parsing...successful
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 9.08/2.25  
% 9.08/2.25  ------ Preprocessing...
% 9.08/2.25  
% 9.08/2.25  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.08/2.25  ------ Proving...
% 9.08/2.25  ------ Problem Properties 
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  clauses                                 88
% 9.08/2.25  conjectures                             7
% 9.08/2.25  EPR                                     32
% 9.08/2.25  Horn                                    57
% 9.08/2.25  unary                                   7
% 9.08/2.25  binary                                  31
% 9.08/2.25  lits                                    258
% 9.08/2.25  lits eq                                 25
% 9.08/2.25  fd_pure                                 0
% 9.08/2.25  fd_pseudo                               0
% 9.08/2.25  fd_cond                                 0
% 9.08/2.25  fd_pseudo_cond                          17
% 9.08/2.25  AC symbols                              0
% 9.08/2.25  
% 9.08/2.25  ------ Input Options Time Limit: Unbounded
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  ------ 
% 9.08/2.25  Current options:
% 9.08/2.25  ------ 
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  ------ Proving...
% 9.08/2.25  
% 9.08/2.25  
% 9.08/2.25  % SZS status Unsatisfiable for theBenchmark.p
% 9.08/2.25  
% 9.08/2.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.08/2.25  
% 9.08/2.25  
%------------------------------------------------------------------------------