TSTP Solution File: LCL009-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:36:34 EDT 2024

% Result   : Unsatisfiable 3.50s 1.17s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   23 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   40 (   0 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   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   :   58 (   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(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yql) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_5) ).

cnf(c_93,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_95,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X1))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_93,c_49]) ).

cnf(c_107,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
    | is_a_theorem(equivalent(equivalent(X3,X2),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_95]) ).

cnf(c_138,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_139,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X1))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_138,c_49]) ).

cnf(c_142,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_107]) ).

cnf(c_158,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_142,c_139]) ).

cnf(c_181,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
    inference(superposition,[status(thm)],[c_50,c_158]) ).

cnf(c_182,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1))) ),
    inference(superposition,[status(thm)],[c_138,c_158]) ).

cnf(c_208,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_181,c_49]) ).

cnf(c_260,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_182,c_49]) ).

cnf(c_266,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),equivalent(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_50,c_260]) ).

cnf(c_288,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X0,equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_182,c_107]) ).

cnf(c_376,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),X3)))
    | is_a_theorem(equivalent(equivalent(X2,X1),X3)) ),
    inference(superposition,[status(thm)],[c_266,c_208]) ).

cnf(c_506,plain,
    ~ is_a_theorem(equivalent(a,equivalent(equivalent(a,b),b))),
    inference(superposition,[status(thm)],[c_288,c_51]) ).

cnf(c_564,plain,
    is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
    inference(superposition,[status(thm)],[c_50,c_376]) ).

cnf(c_646,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
    inference(superposition,[status(thm)],[c_564,c_376]) ).

cnf(c_714,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
    inference(superposition,[status(thm)],[c_646,c_376]) ).

cnf(c_743,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_714,c_208]) ).

cnf(c_838,plain,
    $false,
    inference(superposition,[status(thm)],[c_743,c_506]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:29:28 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 3.50/1.17  % SZS status Started for theBenchmark.p
% 3.50/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.17  
% 3.50/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.50/1.17  
% 3.50/1.17  ------  iProver source info
% 3.50/1.17  
% 3.50/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.50/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.50/1.17  git: non_committed_changes: false
% 3.50/1.17  
% 3.50/1.17  ------ Parsing...successful
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.50/1.17  
% 3.50/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.17  ------ Proving...
% 3.50/1.17  ------ Problem Properties 
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  clauses                                 3
% 3.50/1.17  conjectures                             1
% 3.50/1.17  EPR                                     0
% 3.50/1.17  Horn                                    3
% 3.50/1.17  unary                                   2
% 3.50/1.17  binary                                  0
% 3.50/1.17  lits                                    5
% 3.50/1.17  lits eq                                 0
% 3.50/1.17  fd_pure                                 0
% 3.50/1.17  fd_pseudo                               0
% 3.50/1.17  fd_cond                                 0
% 3.50/1.17  fd_pseudo_cond                          0
% 3.50/1.17  AC symbols                              0
% 3.50/1.17  
% 3.50/1.17  ------ Input Options Time Limit: Unbounded
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  ------ 
% 3.50/1.17  Current options:
% 3.50/1.17  ------ 
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  ------ Proving...
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.17  
% 3.50/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.17  
% 3.50/1.17  
%------------------------------------------------------------------------------