TSTP Solution File: GEO042-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO042-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 61.34s 9.21s
% Output   : CNFRefutation 61.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   6 unt;   0 nHn;  14 RR)
%            Number of literals    :   31 (   5 equ;  17 neg)
%            Maximal clause size   :    4 (   2 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   :   28 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_75,plain,
    ( ~ between(X0,X1,X2)
    | between(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

cnf(c_76,plain,
    between(X0,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).

cnf(c_78,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X0,X2,X1)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).

cnf(c_81,plain,
    between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).

cnf(c_82,plain,
    between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).

cnf(c_83,negated_conjecture,
    ~ between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).

cnf(c_92,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).

cnf(c_93,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_151,plain,
    ( ~ between(w,v,u)
    | between(u,v,w) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_32216,plain,
    ( ~ between(X0,X1,inner_pasch(X2,X0,X3,X4,X1))
    | ~ between(X1,X4,X3)
    | ~ between(X2,X0,X3)
    | inner_pasch(X2,X0,X3,X4,X1) = X1 ),
    inference(superposition,[status(thm)],[c_92,c_78]) ).

cnf(c_33437,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X0,X2)
    | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    inference(superposition,[status(thm)],[c_76,c_32216]) ).

cnf(c_35033,plain,
    ( ~ between(X0,v,x)
    | inner_pasch(X0,v,x,w,v) = v ),
    inference(superposition,[status(thm)],[c_82,c_33437]) ).

cnf(c_63093,plain,
    inner_pasch(u,v,x,w,v) = v,
    inference(superposition,[status(thm)],[c_81,c_35033]) ).

cnf(c_63341,plain,
    ( ~ between(u,v,x)
    | ~ between(v,w,x)
    | between(w,v,u) ),
    inference(superposition,[status(thm)],[c_63093,c_93]) ).

cnf(c_63358,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_63341,c_151,c_83,c_81,c_82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO042-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May  3 01:23:36 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  Running first-order theorem proving
% 0.19/0.45  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
% 61.34/9.21  % SZS status Started for theBenchmark.p
% 61.34/9.21  % SZS status Unsatisfiable for theBenchmark.p
% 61.34/9.21  
% 61.34/9.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.34/9.21  
% 61.34/9.21  ------  iProver source info
% 61.34/9.21  
% 61.34/9.21  git: date: 2024-05-02 19:28:25 +0000
% 61.34/9.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.34/9.21  git: non_committed_changes: false
% 61.34/9.21  
% 61.34/9.21  ------ Parsing...successful
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 61.34/9.21  
% 61.34/9.21  ------ Preprocessing...
% 61.34/9.21  
% 61.34/9.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 61.34/9.21  ------ Proving...
% 61.34/9.21  ------ Problem Properties 
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  clauses                                 50
% 61.34/9.21  conjectures                             1
% 61.34/9.21  EPR                                     30
% 61.34/9.21  Horn                                    41
% 61.34/9.21  unary                                   20
% 61.34/9.21  binary                                  13
% 61.34/9.21  lits                                    117
% 61.34/9.21  lits eq                                 23
% 61.34/9.21  fd_pure                                 0
% 61.34/9.21  fd_pseudo                               0
% 61.34/9.21  fd_cond                                 0
% 61.34/9.21  fd_pseudo_cond                          13
% 61.34/9.21  AC symbols                              0
% 61.34/9.21  
% 61.34/9.21  ------ Input Options Time Limit: Unbounded
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  ------ 
% 61.34/9.21  Current options:
% 61.34/9.21  ------ 
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  ------ Proving...
% 61.34/9.21  
% 61.34/9.21  
% 61.34/9.21  % SZS status Unsatisfiable for theBenchmark.p
% 61.34/9.21  
% 61.34/9.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.34/9.21  
% 61.34/9.21  
%------------------------------------------------------------------------------