TSTP Solution File: GEO043-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO043-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 02:16:11 EDT 2024

% Result   : Unsatisfiable 39.34s 6.23s
% Output   : CNFRefutation 39.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (   4 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-5 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_75,plain,
    ( ~ between(X0,X1,X2)
    | between(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

cnf(c_82,plain,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(c_83,plain,
    between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).

cnf(c_84,negated_conjecture,
    ~ between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).

cnf(c_92,plain,
    ( ~ between(X0,X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).

cnf(c_93,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).

cnf(c_94,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_377,plain,
    between(w,v,u),
    inference(resolution,[status(thm)],[c_75,c_82]) ).

cnf(c_378,plain,
    between(x,w,u),
    inference(resolution,[status(thm)],[c_75,c_83]) ).

cnf(c_1990,plain,
    between(w,v,u),
    inference(superposition,[status(thm)],[c_82,c_75]) ).

cnf(c_1991,plain,
    between(x,w,u),
    inference(superposition,[status(thm)],[c_83,c_75]) ).

cnf(c_2288,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X0,X2)
    | inner_pasch(X0,X1,X2,X0,X3) = X0 ),
    inference(superposition,[status(thm)],[c_94,c_92]) ).

cnf(c_2839,plain,
    ( ~ between(X0,w,u)
    | inner_pasch(w,v,u,w,X0) = w ),
    inference(superposition,[status(thm)],[c_1990,c_2288]) ).

cnf(c_8942,plain,
    inner_pasch(w,v,u,w,x) = w,
    inference(superposition,[status(thm)],[c_1991,c_2839]) ).

cnf(c_9060,plain,
    ( ~ between(w,v,u)
    | ~ between(x,w,u)
    | between(v,w,x) ),
    inference(superposition,[status(thm)],[c_8942,c_93]) ).

cnf(c_9070,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9060,c_378,c_377,c_84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO043-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May  3 02:02:15 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 39.34/6.23  % SZS status Started for theBenchmark.p
% 39.34/6.23  % SZS status Unsatisfiable for theBenchmark.p
% 39.34/6.23  
% 39.34/6.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.34/6.23  
% 39.34/6.23  ------  iProver source info
% 39.34/6.23  
% 39.34/6.23  git: date: 2024-05-02 19:28:25 +0000
% 39.34/6.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.34/6.23  git: non_committed_changes: false
% 39.34/6.23  
% 39.34/6.23  ------ Parsing...successful
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 39.34/6.23  
% 39.34/6.23  ------ Preprocessing...
% 39.34/6.23  
% 39.34/6.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 39.34/6.23  ------ Proving...
% 39.34/6.23  ------ Problem Properties 
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  clauses                                 50
% 39.34/6.23  conjectures                             1
% 39.34/6.23  EPR                                     30
% 39.34/6.23  Horn                                    41
% 39.34/6.23  unary                                   20
% 39.34/6.23  binary                                  13
% 39.34/6.23  lits                                    117
% 39.34/6.23  lits eq                                 23
% 39.34/6.23  fd_pure                                 0
% 39.34/6.23  fd_pseudo                               0
% 39.34/6.23  fd_cond                                 0
% 39.34/6.23  fd_pseudo_cond                          13
% 39.34/6.23  AC symbols                              0
% 39.34/6.23  
% 39.34/6.23  ------ Input Options Time Limit: Unbounded
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  ------ 
% 39.34/6.23  Current options:
% 39.34/6.23  ------ 
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  ------ Proving...
% 39.34/6.23  
% 39.34/6.23  
% 39.34/6.23  % SZS status Unsatisfiable for theBenchmark.p
% 39.34/6.23  
% 39.34/6.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.34/6.23  
% 39.34/6.23  
%------------------------------------------------------------------------------