TSTP Solution File: GEO010-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Fri May  3 02:16:01 EDT 2024

% Result   : Unsatisfiable 3.85s 1.20s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (   6 unt;   2 nHn;  27 RR)
%            Number of literals    :   66 (   0 equ;  49 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_112,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).

cnf(c_113,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).

cnf(c_114,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).

cnf(c_115,plain,
    colinear(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).

cnf(c_116,negated_conjecture,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a)
    | ~ colinear(c,a,b)
    | ~ colinear(c,b,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).

cnf(c_119,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).

cnf(c_120,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).

cnf(c_121,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).

cnf(c_122,plain,
    ( ~ colinear(X0,X1,X2)
    | between(X0,X1,X2)
    | between(X1,X2,X0)
    | between(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).

cnf(c_2322,plain,
    ( ~ between(a,b,c)
    | colinear(c,b,a) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_2323,plain,
    ( ~ between(c,a,b)
    | colinear(c,b,a) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_2324,plain,
    ( ~ between(b,c,a)
    | colinear(c,b,a) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_4053,plain,
    ( between(a,b,c)
    | between(b,c,a)
    | between(c,a,b) ),
    inference(resolution,[status(thm)],[c_122,c_115]) ).

cnf(c_4146,plain,
    ( ~ colinear(c,a,b)
    | ~ colinear(b,c,a)
    | ~ colinear(b,a,c)
    | ~ colinear(a,c,b) ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_116,c_2322,c_2323,c_2324,c_4053]) ).

cnf(c_4147,negated_conjecture,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a)
    | ~ colinear(c,a,b) ),
    inference(renaming,[status(thm)],[c_4146]) ).

cnf(c_4263,plain,
    ( ~ between(c,a,b)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a) ),
    inference(resolution,[status(thm)],[c_119,c_4147]) ).

cnf(c_4269,plain,
    ~ between(c,a,b),
    inference(forward_subsumption_resolution,[status(thm)],[c_4263,c_120,c_112,c_114]) ).

cnf(c_4282,plain,
    ( ~ between(a,b,c)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a) ),
    inference(resolution,[status(thm)],[c_120,c_4147]) ).

cnf(c_4344,plain,
    ~ between(a,b,c),
    inference(forward_subsumption_resolution,[status(thm)],[c_4282,c_121,c_114,c_113]) ).

cnf(c_4365,plain,
    ( ~ between(b,c,a)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a) ),
    inference(resolution,[status(thm)],[c_121,c_4147]) ).

cnf(c_4371,plain,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a) ),
    inference(global_subsumption_just,[status(thm)],[c_4365,c_4053,c_4269,c_4344,c_4365]) ).

cnf(c_4385,plain,
    ( ~ between(b,c,a)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c) ),
    inference(resolution,[status(thm)],[c_4371,c_119]) ).

cnf(c_4395,plain,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c) ),
    inference(global_subsumption_just,[status(thm)],[c_4385,c_4053,c_4269,c_4344,c_4385]) ).

cnf(c_4407,plain,
    ( ~ between(b,c,a)
    | ~ colinear(a,c,b) ),
    inference(resolution,[status(thm)],[c_4395,c_113]) ).

cnf(c_4415,plain,
    ~ colinear(a,c,b),
    inference(global_subsumption_just,[status(thm)],[c_4407,c_4053,c_4269,c_4344,c_4407]) ).

cnf(c_4422,plain,
    ~ between(b,c,a),
    inference(resolution,[status(thm)],[c_4415,c_112]) ).

cnf(c_4423,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4422,c_4344,c_4269,c_4053]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13  % 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 : Fri May  3 01:11:50 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/1.20  % SZS status Started for theBenchmark.p
% 3.85/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.20  
% 3.85/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.20  
% 3.85/1.20  ------  iProver source info
% 3.85/1.20  
% 3.85/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.20  git: non_committed_changes: false
% 3.85/1.20  
% 3.85/1.20  ------ Parsing...successful
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.85/1.20  
% 3.85/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.20  
% 3.85/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.85/1.20  ------ Proving...
% 3.85/1.20  ------ Problem Properties 
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  clauses                                 85
% 3.85/1.20  conjectures                             1
% 3.85/1.20  EPR                                     57
% 3.85/1.20  Horn                                    66
% 3.85/1.20  unary                                   24
% 3.85/1.20  binary                                  21
% 3.85/1.20  lits                                    237
% 3.85/1.20  lits eq                                 39
% 3.85/1.20  fd_pure                                 0
% 3.85/1.20  fd_pseudo                               0
% 3.85/1.20  fd_cond                                 0
% 3.85/1.20  fd_pseudo_cond                          21
% 3.85/1.20  AC symbols                              0
% 3.85/1.20  
% 3.85/1.20  ------ Input Options Time Limit: Unbounded
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  ------ 
% 3.85/1.20  Current options:
% 3.85/1.20  ------ 
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  ------ Proving...
% 3.85/1.20  
% 3.85/1.20  
% 3.85/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.20  
% 3.85/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.20  
% 3.85/1.20  
%------------------------------------------------------------------------------