TSTP Solution File: GEO002-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 23:08:39 EDT 2023

% Result   : Unsatisfiable 3.95s 1.15s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   32 (   2 equ;  17 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-5 aty)
%            Number of variables   :   53 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ between(a,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).

cnf(c_51,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X3,X2)
    | between(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).

cnf(c_54,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).

cnf(c_56,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X2,X4)
    | between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).

cnf(c_57,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X2,X4)
    | between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).

cnf(c_62,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).

cnf(c_63,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).

cnf(c_667,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_63,c_54]) ).

cnf(c_703,plain,
    ( ~ between(X0,X1,outer_pasch(X0,X2,X3,X4,X5))
    | ~ between(X2,X0,X5)
    | ~ between(X3,X5,X4)
    | between(X4,X0,X1) ),
    inference(superposition,[status(thm)],[c_57,c_51]) ).

cnf(c_708,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_667,c_62]) ).

cnf(c_712,plain,
    ( ~ between(X0,X1,X0)
    | between(X2,X0,X1) ),
    inference(superposition,[status(thm)],[c_708,c_51]) ).

cnf(c_723,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X0,X2,X3)
    | between(X4,X0,outer_pasch(X1,X0,X0,X3,X2)) ),
    inference(superposition,[status(thm)],[c_56,c_712]) ).

cnf(c_2610,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X0,X2,X3)
    | between(X3,X1,X0) ),
    inference(superposition,[status(thm)],[c_723,c_703]) ).

cnf(c_2979,plain,
    ( ~ between(X0,X1,X2)
    | between(X2,X1,X0) ),
    inference(superposition,[status(thm)],[c_708,c_2610]) ).

cnf(c_3030,plain,
    between(X0,X0,X1),
    inference(superposition,[status(thm)],[c_708,c_2979]) ).

cnf(c_3053,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_3030]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n005.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 23:12:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/1.15  % SZS status Started for theBenchmark.p
% 3.95/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.15  
% 3.95/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.95/1.15  
% 3.95/1.15  ------  iProver source info
% 3.95/1.15  
% 3.95/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.95/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.95/1.15  git: non_committed_changes: false
% 3.95/1.15  git: last_make_outside_of_git: false
% 3.95/1.15  
% 3.95/1.15  ------ Parsing...successful
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.95/1.15  ------ Proving...
% 3.95/1.15  ------ Problem Properties 
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  clauses                                 21
% 3.95/1.15  conjectures                             1
% 3.95/1.15  EPR                                     12
% 3.95/1.15  Horn                                    15
% 3.95/1.15  unary                                   7
% 3.95/1.15  binary                                  2
% 3.95/1.15  lits                                    65
% 3.95/1.15  lits eq                                 8
% 3.95/1.15  fd_pure                                 0
% 3.95/1.15  fd_pseudo                               0
% 3.95/1.15  fd_cond                                 0
% 3.95/1.15  fd_pseudo_cond                          8
% 3.95/1.15  AC symbols                              0
% 3.95/1.15  
% 3.95/1.15  ------ Schedule dynamic 5 is on 
% 3.95/1.15  
% 3.95/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  ------ 
% 3.95/1.15  Current options:
% 3.95/1.15  ------ 
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  ------ Proving...
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.15  
% 3.95/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.15  
% 3.95/1.15  
%------------------------------------------------------------------------------