TSTP Solution File: LCL006-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 : Thu Aug 31 07:42:01 EDT 2023

% Result   : Unsatisfiable 7.85s 1.68s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   33 (   0 equ;  14 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   :   51 (   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(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec_4) ).

cnf(c_51,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec_5) ).

cnf(c_52,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_1) ).

cnf(c_123,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_175,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_206,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X1),X2))),
    inference(superposition,[status(thm)],[c_51,c_123]) ).

cnf(c_219,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
    inference(superposition,[status(thm)],[c_51,c_175]) ).

cnf(c_277,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_206,c_49]) ).

cnf(c_380,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X1,X2))),
    inference(superposition,[status(thm)],[c_219,c_123]) ).

cnf(c_381,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_219,c_49]) ).

cnf(c_454,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2))),
    inference(superposition,[status(thm)],[c_51,c_277]) ).

cnf(c_933,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_380,c_49]) ).

cnf(c_938,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_381,c_49]) ).

cnf(c_1815,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X0))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_938,c_933]) ).

cnf(c_5357,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_5483,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X0)) ),
    inference(superposition,[status(thm)],[c_51,c_1815]) ).

cnf(c_5607,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X0),X1),X2))),
    inference(superposition,[status(thm)],[c_454,c_5357]) ).

cnf(c_16301,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X1,X2))),
    inference(superposition,[status(thm)],[c_5607,c_5483]) ).

cnf(c_16314,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_52,c_16301]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.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 : Fri Aug 25 02:20:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.85/1.68  % SZS status Started for theBenchmark.p
% 7.85/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.68  
% 7.85/1.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.85/1.68  
% 7.85/1.68  ------  iProver source info
% 7.85/1.68  
% 7.85/1.68  git: date: 2023-05-31 18:12:56 +0000
% 7.85/1.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.85/1.68  git: non_committed_changes: false
% 7.85/1.68  git: last_make_outside_of_git: false
% 7.85/1.68  
% 7.85/1.68  ------ Parsing...successful
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.85/1.68  
% 7.85/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.85/1.68  ------ Proving...
% 7.85/1.68  ------ Problem Properties 
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  clauses                                 4
% 7.85/1.68  conjectures                             1
% 7.85/1.68  EPR                                     0
% 7.85/1.68  Horn                                    4
% 7.85/1.68  unary                                   3
% 7.85/1.68  binary                                  0
% 7.85/1.68  lits                                    6
% 7.85/1.68  lits eq                                 0
% 7.85/1.68  fd_pure                                 0
% 7.85/1.68  fd_pseudo                               0
% 7.85/1.68  fd_cond                                 0
% 7.85/1.68  fd_pseudo_cond                          0
% 7.85/1.68  AC symbols                              0
% 7.85/1.68  
% 7.85/1.68  ------ Input Options Time Limit: Unbounded
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  ------ 
% 7.85/1.68  Current options:
% 7.85/1.68  ------ 
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  ------ Proving...
% 7.85/1.68  
% 7.85/1.68  
% 7.85/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.68  
% 7.85/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.68  
% 7.85/1.68  
%------------------------------------------------------------------------------