TSTP Solution File: LCL018-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:36:36 EDT 2024

% Result   : Unsatisfiable 56.62s 8.74s
% Output   : CNFRefutation 56.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   31 (  13 unt;   0 nHn;  14 RR)
%            Number of literals    :   60 (   0 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   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   :   83 (   1 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(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pym) ).

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

cnf(c_158,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X1))
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(resolution,[status(thm)],[c_49,c_50]) ).

cnf(c_176,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2)))),
    inference(resolution,[status(thm)],[c_158,c_50]) ).

cnf(c_180,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2))) ),
    inference(resolution,[status(thm)],[c_176,c_49]) ).

cnf(c_186,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2)) ),
    inference(resolution,[status(thm)],[c_180,c_49]) ).

cnf(c_196,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[c_186,c_49]) ).

cnf(c_237,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X3)),X1)))
    | ~ is_a_theorem(X3)
    | is_a_theorem(X2) ),
    inference(resolution,[status(thm)],[c_196,c_176]) ).

cnf(c_239,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(resolution,[status(thm)],[c_196,c_186]) ).

cnf(c_261,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[status(thm)],[c_239,c_50]) ).

cnf(c_275,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(resolution,[status(thm)],[c_261,c_158]) ).

cnf(c_364,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[c_237,c_180]) ).

cnf(c_417,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2)) ),
    inference(resolution,[status(thm)],[c_364,c_50]) ).

cnf(c_482,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X0)),X2))) ),
    inference(resolution,[status(thm)],[c_275,c_50]) ).

cnf(c_484,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X0),X2),X1),X2)) ),
    inference(resolution,[status(thm)],[c_275,c_176]) ).

cnf(c_519,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(resolution,[status(thm)],[c_482,c_275]) ).

cnf(c_970,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(resolution,[status(thm)],[c_519,c_176]) ).

cnf(c_1108,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
    inference(resolution,[status(thm)],[c_970,c_417]) ).

cnf(c_1113,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
    inference(resolution,[status(thm)],[c_970,c_484]) ).

cnf(c_1168,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(resolution,[status(thm)],[c_1113,c_158]) ).

cnf(c_1214,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),X2)),
    inference(resolution,[status(thm)],[c_1168,c_176]) ).

cnf(c_3273,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X0)),X2),X1))),
    inference(resolution,[status(thm)],[c_1214,c_970]) ).

cnf(c_4043,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),X0),X2)),
    inference(resolution,[status(thm)],[c_3273,c_1168]) ).

cnf(c_4143,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X1)),X2))),
    inference(resolution,[status(thm)],[c_4043,c_158]) ).

cnf(c_7045,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2))),
    inference(resolution,[status(thm)],[c_1108,c_4143]) ).

cnf(c_8280,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),X1),X2)),
    inference(resolution,[status(thm)],[c_7045,c_1168]) ).

cnf(c_11005,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))),
    inference(resolution,[status(thm)],[c_8280,c_158]) ).

cnf(c_15953,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,X2)),X2))),
    inference(resolution,[status(thm)],[c_11005,c_1108]) ).

cnf(c_21615,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
    inference(resolution,[status(thm)],[c_15953,c_1168]) ).

cnf(c_25621,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_21615]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n008.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 18:57:58 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 56.62/8.74  % SZS status Started for theBenchmark.p
% 56.62/8.74  % SZS status Unsatisfiable for theBenchmark.p
% 56.62/8.74  
% 56.62/8.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 56.62/8.74  
% 56.62/8.74  ------  iProver source info
% 56.62/8.74  
% 56.62/8.74  git: date: 2024-05-02 19:28:25 +0000
% 56.62/8.74  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 56.62/8.74  git: non_committed_changes: false
% 56.62/8.74  
% 56.62/8.74  ------ Parsing...successful
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 56.62/8.74  
% 56.62/8.74  ------ Preprocessing...
% 56.62/8.74  ------ Proving...
% 56.62/8.74  ------ Problem Properties 
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  clauses                                 3
% 56.62/8.74  conjectures                             1
% 56.62/8.74  EPR                                     0
% 56.62/8.74  Horn                                    3
% 56.62/8.74  unary                                   2
% 56.62/8.74  binary                                  0
% 56.62/8.74  lits                                    5
% 56.62/8.74  lits eq                                 0
% 56.62/8.74  fd_pure                                 0
% 56.62/8.74  fd_pseudo                               0
% 56.62/8.74  fd_cond                                 0
% 56.62/8.74  fd_pseudo_cond                          0
% 56.62/8.74  AC symbols                              0
% 56.62/8.74  
% 56.62/8.74  ------ Input Options Time Limit: Unbounded
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  ------ 
% 56.62/8.74  Current options:
% 56.62/8.74  ------ 
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  ------ Proving...
% 56.62/8.74  
% 56.62/8.74  
% 56.62/8.74  % SZS status Unsatisfiable for theBenchmark.p
% 56.62/8.74  
% 56.62/8.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.62/8.74  
% 56.62/8.74  
%------------------------------------------------------------------------------