TSTP Solution File: GEO036-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:16:09 EDT 2024

% Result   : Unsatisfiable 3.02s 1.11s
% Output   : CNFRefutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (  10 unt;   4 nHn;  12 RR)
%            Number of literals    :   25 (  14 equ;   7 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    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   16 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | lower_dimension_point_1 = lower_dimension_point_3
    | lower_dimension_point_2 = lower_dimension_point_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).

cnf(c_52,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_53,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_54,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_59,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).

cnf(c_60,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).

cnf(c_61,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).

cnf(c_304,negated_conjecture,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | lower_dimension_point_1 = lower_dimension_point_3
    | lower_dimension_point_2 = lower_dimension_point_3 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_605,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | lower_dimension_point_1 = lower_dimension_point_2
    | lower_dimension_point_1 = lower_dimension_point_3 ),
    inference(superposition,[status(thm)],[c_304,c_59]) ).

cnf(c_656,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_54,c_52]) ).

cnf(c_658,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_656,c_53]) ).

cnf(c_660,plain,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | lower_dimension_point_1 = lower_dimension_point_3 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_605,c_658]) ).

cnf(c_674,plain,
    ( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[status(thm)],[c_660,c_60]) ).

cnf(c_678,plain,
    lower_dimension_point_1 = lower_dimension_point_2,
    inference(forward_subsumption_resolution,[status(thm)],[c_674,c_658]) ).

cnf(c_679,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
    inference(demodulation,[status(thm)],[c_61,c_678]) ).

cnf(c_682,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_679,c_658]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 01:27:50 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.02/1.11  % SZS status Started for theBenchmark.p
% 3.02/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.11  
% 3.02/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.02/1.11  
% 3.02/1.11  ------  iProver source info
% 3.02/1.11  
% 3.02/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.02/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.02/1.11  git: non_committed_changes: false
% 3.02/1.11  
% 3.02/1.11  ------ Parsing...successful
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.02/1.11  
% 3.02/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.02/1.11  
% 3.02/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.02/1.11  ------ Proving...
% 3.02/1.11  ------ Problem Properties 
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  clauses                                 19
% 3.02/1.11  conjectures                             1
% 3.02/1.11  EPR                                     10
% 3.02/1.11  Horn                                    13
% 3.02/1.11  unary                                   6
% 3.02/1.11  binary                                  2
% 3.02/1.11  lits                                    59
% 3.02/1.11  lits eq                                 10
% 3.02/1.11  fd_pure                                 0
% 3.02/1.11  fd_pseudo                               0
% 3.02/1.11  fd_cond                                 0
% 3.02/1.11  fd_pseudo_cond                          7
% 3.02/1.11  AC symbols                              0
% 3.02/1.11  
% 3.02/1.11  ------ Schedule dynamic 5 is on 
% 3.02/1.11  
% 3.02/1.11  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  ------ 
% 3.02/1.11  Current options:
% 3.02/1.11  ------ 
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  ------ Proving...
% 3.02/1.11  
% 3.02/1.11  
% 3.02/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.11  
% 3.02/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.11  
% 3.02/1.11  
%------------------------------------------------------------------------------