TSTP Solution File: GEO006-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 23:08:41 EDT 2023

% Result   : Unsatisfiable 3.65s 1.18s
% Output   : CNFRefutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  14 unt;   4 nHn;  25 RR)
%            Number of literals    :   57 (  12 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   46 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

cnf(c_51,plain,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).

cnf(c_52,plain,
    between(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).

cnf(c_53,negated_conjecture,
    ( between(a,d,c)
    | between(c,a,d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).

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

cnf(c_55,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_58,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).

cnf(c_60,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_61,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_66,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).

cnf(c_67,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).

cnf(c_699,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_67,c_58]) ).

cnf(c_701,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_699,c_66]) ).

cnf(c_713,plain,
    ( ~ between(a,X0,d)
    | between(c,a,X0)
    | between(a,d,c) ),
    inference(superposition,[status(thm)],[c_53,c_55]) ).

cnf(c_733,plain,
    ( between(a,d,c)
    | between(c,a,c) ),
    inference(superposition,[status(thm)],[c_52,c_713]) ).

cnf(c_741,plain,
    ( a = c
    | between(a,d,c) ),
    inference(superposition,[status(thm)],[c_733,c_54]) ).

cnf(c_743,plain,
    between(a,d,c),
    inference(forward_subsumption_resolution,[status(thm)],[c_741,c_49]) ).

cnf(c_820,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X0,X2,X3)
    | outer_pasch(X1,X0,X0,X3,X2) = X0 ),
    inference(superposition,[status(thm)],[c_60,c_54]) ).

cnf(c_919,plain,
    ( ~ between(c,d,c)
    | c = d ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_1443,plain,
    ( ~ between(c,d,X0)
    | ~ between(d,c,X0)
    | between(c,d,c) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_1444,plain,
    ( ~ between(c,d,a)
    | ~ between(d,c,a)
    | between(c,d,c) ),
    inference(instantiation,[status(thm)],[c_1443]) ).

cnf(c_4335,plain,
    ( ~ between(a,d,X0)
    | outer_pasch(c,a,a,X0,d) = a ),
    inference(superposition,[status(thm)],[c_52,c_820]) ).

cnf(c_4336,plain,
    ( ~ between(a,c,X0)
    | outer_pasch(d,a,a,X0,c) = a ),
    inference(superposition,[status(thm)],[c_743,c_820]) ).

cnf(c_4604,plain,
    outer_pasch(c,a,a,extension(a,d,X0,X1),d) = a,
    inference(superposition,[status(thm)],[c_66,c_4335]) ).

cnf(c_4763,plain,
    outer_pasch(d,a,a,c,c) = a,
    inference(superposition,[status(thm)],[c_701,c_4336]) ).

cnf(c_4929,plain,
    ( ~ between(a,c,c)
    | ~ between(a,d,c)
    | between(c,d,a) ),
    inference(superposition,[status(thm)],[c_4763,c_61]) ).

cnf(c_4934,plain,
    between(c,d,a),
    inference(forward_subsumption_resolution,[status(thm)],[c_4929,c_743,c_701]) ).

cnf(c_5075,plain,
    ( ~ between(a,d,extension(a,d,X0,X1))
    | ~ between(a,c,d)
    | between(extension(a,d,X0,X1),c,a) ),
    inference(superposition,[status(thm)],[c_4604,c_61]) ).

cnf(c_5081,plain,
    between(extension(a,d,X0,X1),c,a),
    inference(forward_subsumption_resolution,[status(thm)],[c_5075,c_52,c_66]) ).

cnf(c_5088,plain,
    between(d,c,a),
    inference(superposition,[status(thm)],[c_699,c_5081]) ).

cnf(c_5098,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_5088,c_4934,c_1444,c_919,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.31  % Computer : n023.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Tue Aug 29 19:16:25 EDT 2023
% 0.12/0.31  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.65/1.18  % SZS status Started for theBenchmark.p
% 3.65/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.18  
% 3.65/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.65/1.18  
% 3.65/1.18  ------  iProver source info
% 3.65/1.18  
% 3.65/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.65/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.65/1.18  git: non_committed_changes: false
% 3.65/1.18  git: last_make_outside_of_git: false
% 3.65/1.18  
% 3.65/1.18  ------ Parsing...successful
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.65/1.18  
% 3.65/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.65/1.18  
% 3.65/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.65/1.18  ------ Proving...
% 3.65/1.18  ------ Problem Properties 
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  clauses                                 25
% 3.65/1.18  conjectures                             1
% 3.65/1.18  EPR                                     16
% 3.65/1.18  Horn                                    18
% 3.65/1.18  unary                                   10
% 3.65/1.18  binary                                  3
% 3.65/1.18  lits                                    70
% 3.65/1.18  lits eq                                 11
% 3.65/1.18  fd_pure                                 0
% 3.65/1.18  fd_pseudo                               0
% 3.65/1.18  fd_cond                                 0
% 3.65/1.18  fd_pseudo_cond                          8
% 3.65/1.18  AC symbols                              0
% 3.65/1.18  
% 3.65/1.18  ------ Schedule dynamic 5 is on 
% 3.65/1.18  
% 3.65/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  ------ 
% 3.65/1.18  Current options:
% 3.65/1.18  ------ 
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  ------ Proving...
% 3.65/1.18  
% 3.65/1.18  
% 3.65/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.18  
% 3.65/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.18  
% 3.65/1.18  
%------------------------------------------------------------------------------