TSTP Solution File: GEO001-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:15:58 EDT 2024

% Result   : Unsatisfiable 3.85s 1.24s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   27 (   6 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   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   :   33 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    between(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).

cnf(c_50,negated_conjecture,
    ~ between(c,b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).

cnf(c_53,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_54,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_55,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_57,plain,
    ( ~ between(X0,X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).

cnf(c_58,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X4,inner_pasch(X3,X4,X2,X1,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).

cnf(c_59,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X1,inner_pasch(X3,X4,X2,X1,X0),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_297,negated_conjecture,
    ~ between(c,b,a),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_598,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_629,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X3,X2)
    | inner_pasch(X1,X3,X2,X1,X0) = X1 ),
    inference(superposition,[status(thm)],[c_59,c_57]) ).

cnf(c_633,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_598,c_54]) ).

cnf(c_1799,plain,
    ( ~ between(b,X0,c)
    | inner_pasch(b,X0,c,b,a) = b ),
    inference(superposition,[status(thm)],[c_49,c_629]) ).

cnf(c_1851,plain,
    inner_pasch(b,c,c,b,a) = b,
    inference(superposition,[status(thm)],[c_633,c_1799]) ).

cnf(c_1964,plain,
    ( ~ between(a,b,c)
    | ~ between(b,c,c)
    | between(c,b,a) ),
    inference(superposition,[status(thm)],[c_1851,c_58]) ).

cnf(c_1965,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1964,c_297,c_633,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 02:00:32 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 3.85/1.24  % SZS status Started for theBenchmark.p
% 3.85/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.24  
% 3.85/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.24  
% 3.85/1.24  ------  iProver source info
% 3.85/1.24  
% 3.85/1.24  git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.24  git: non_committed_changes: false
% 3.85/1.24  
% 3.85/1.24  ------ Parsing...successful
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.85/1.24  
% 3.85/1.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.24  
% 3.85/1.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.85/1.24  ------ Proving...
% 3.85/1.24  ------ Problem Properties 
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  clauses                                 20
% 3.85/1.24  conjectures                             1
% 3.85/1.24  EPR                                     11
% 3.85/1.24  Horn                                    15
% 3.85/1.24  unary                                   8
% 3.85/1.24  binary                                  2
% 3.85/1.24  lits                                    58
% 3.85/1.24  lits eq                                 7
% 3.85/1.24  fd_pure                                 0
% 3.85/1.24  fd_pseudo                               0
% 3.85/1.24  fd_cond                                 0
% 3.85/1.24  fd_pseudo_cond                          7
% 3.85/1.24  AC symbols                              0
% 3.85/1.24  
% 3.85/1.24  ------ Schedule dynamic 5 is on 
% 3.85/1.24  
% 3.85/1.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  ------ 
% 3.85/1.24  Current options:
% 3.85/1.24  ------ 
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  ------ Proving...
% 3.85/1.24  
% 3.85/1.24  
% 3.85/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.24  
% 3.85/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.24  
% 3.85/1.24  
%------------------------------------------------------------------------------