TSTP Solution File: GEO066-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:16:17 EDT 2024

% Result   : Unsatisfiable 3.89s 1.18s
% Output   : CNFRefutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   33 (   9 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   39 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    between(v,u,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_between_v_and_w) ).

cnf(c_50,negated_conjecture,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_colinear) ).

cnf(c_53,plain,
    ( ~ between(X0,X1,X2)
    | colinear(X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity3) ).

cnf(c_57,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_58,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_59,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_61,plain,
    ( ~ between(X0,X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).

cnf(c_62,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X4,inner_pasch(X3,X4,X2,X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).

cnf(c_63,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X1,inner_pasch(X3,X4,X2,X1,X0),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_356,plain,
    ( X0 != v
    | X1 != u
    | X2 != w
    | ~ between(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_53]) ).

cnf(c_357,plain,
    ~ between(w,u,v),
    inference(unflattening,[status(thm)],[c_356]) ).

cnf(c_899,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_59,c_57]) ).

cnf(c_913,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_899,c_58]) ).

cnf(c_997,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X3,X2)
    | inner_pasch(X1,X3,X2,X1,X0) = X1 ),
    inference(superposition,[status(thm)],[c_63,c_61]) ).

cnf(c_2008,plain,
    ( ~ between(u,X0,w)
    | inner_pasch(u,X0,w,u,v) = u ),
    inference(superposition,[status(thm)],[c_49,c_997]) ).

cnf(c_2060,plain,
    inner_pasch(u,w,w,u,v) = u,
    inference(superposition,[status(thm)],[c_913,c_2008]) ).

cnf(c_2150,plain,
    ( ~ between(v,u,w)
    | ~ between(u,w,w)
    | between(w,u,v) ),
    inference(superposition,[status(thm)],[c_2060,c_62]) ).

cnf(c_2151,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2150,c_357,c_913,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May  3 01:45:07 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 3.89/1.18  % SZS status Started for theBenchmark.p
% 3.89/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.18  
% 3.89/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.89/1.18  
% 3.89/1.18  ------  iProver source info
% 3.89/1.18  
% 3.89/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.89/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.89/1.18  git: non_committed_changes: false
% 3.89/1.18  
% 3.89/1.18  ------ Parsing...successful
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.89/1.18  
% 3.89/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.89/1.18  
% 3.89/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.89/1.18  ------ Proving...
% 3.89/1.18  ------ Problem Properties 
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  clauses                                 22
% 3.89/1.18  conjectures                             0
% 3.89/1.18  EPR                                     13
% 3.89/1.18  Horn                                    17
% 3.89/1.18  unary                                   10
% 3.89/1.18  binary                                  2
% 3.89/1.18  lits                                    60
% 3.89/1.18  lits eq                                 7
% 3.89/1.18  fd_pure                                 0
% 3.89/1.18  fd_pseudo                               0
% 3.89/1.18  fd_cond                                 0
% 3.89/1.18  fd_pseudo_cond                          7
% 3.89/1.18  AC symbols                              0
% 3.89/1.18  
% 3.89/1.18  ------ Schedule dynamic 5 is on 
% 3.89/1.18  
% 3.89/1.18  ------ no conjectures: strip conj schedule 
% 3.89/1.18  
% 3.89/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  ------ 
% 3.89/1.18  Current options:
% 3.89/1.18  ------ 
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  ------ Proving...
% 3.89/1.18  
% 3.89/1.18  
% 3.89/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.18  
% 3.89/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.18  
% 3.89/1.18  
%------------------------------------------------------------------------------