TSTP Solution File: LCL106-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:36:51 EDT 2024

% Result   : Unsatisfiable 3.19s 1.18s
% Output   : CNFRefutation 3.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   24 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).

cnf(c_51,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).

cnf(c_52,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).

cnf(c_101,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_106,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_114,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(equivalent(X1,X0),X2)) ),
    inference(superposition,[status(thm)],[c_101,c_49]) ).

cnf(c_132,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X1,X2))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_114,c_106]) ).

cnf(c_166,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_51,c_132]) ).

cnf(c_262,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_270,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)))
    | is_a_theorem(equivalent(equivalent(X2,X1),X3)) ),
    inference(superposition,[status(thm)],[c_166,c_262]) ).

cnf(c_568,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
    inference(superposition,[status(thm)],[c_50,c_270]) ).

cnf(c_657,plain,
    $false,
    inference(superposition,[status(thm)],[c_568,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 19:31:06 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 3.19/1.18  % SZS status Started for theBenchmark.p
% 3.19/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.18  
% 3.19/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.19/1.18  
% 3.19/1.18  ------  iProver source info
% 3.19/1.18  
% 3.19/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.19/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.19/1.18  git: non_committed_changes: false
% 3.19/1.18  
% 3.19/1.18  ------ Parsing...successful
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.19/1.18  
% 3.19/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.19/1.18  ------ Proving...
% 3.19/1.18  ------ Problem Properties 
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  clauses                                 4
% 3.19/1.18  conjectures                             1
% 3.19/1.18  EPR                                     0
% 3.19/1.18  Horn                                    4
% 3.19/1.18  unary                                   3
% 3.19/1.18  binary                                  0
% 3.19/1.18  lits                                    6
% 3.19/1.18  lits eq                                 0
% 3.19/1.18  fd_pure                                 0
% 3.19/1.18  fd_pseudo                               0
% 3.19/1.18  fd_cond                                 0
% 3.19/1.18  fd_pseudo_cond                          0
% 3.19/1.18  AC symbols                              0
% 3.19/1.18  
% 3.19/1.18  ------ Input Options Time Limit: Unbounded
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  ------ 
% 3.19/1.18  Current options:
% 3.19/1.18  ------ 
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  ------ Proving...
% 3.19/1.18  
% 3.19/1.18  
% 3.19/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.18  
% 3.19/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.18  
% 3.19/1.18  
%------------------------------------------------------------------------------