TSTP Solution File: LCL014-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 02:36:35 EDT 2024

% Result   : Unsatisfiable 61.63s 9.22s
% Output   : CNFRefutation 61.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   30 (  12 unt;   0 nHn;  17 RR)
%            Number of literals    :   55 (   0 equ;  26 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   :   82 (   0 sgn)

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

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

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

cnf(c_1058,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X2,equivalent(X0,X1))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_1061,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X1,X2)),X2))),
    inference(superposition,[status(thm)],[c_50,c_1058]) ).

cnf(c_1062,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
    inference(superposition,[status(thm)],[c_1061,c_49]) ).

cnf(c_1063,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X2,X0))))),
    inference(superposition,[status(thm)],[c_1061,c_1058]) ).

cnf(c_1066,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_1062,c_49]) ).

cnf(c_1077,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(superposition,[status(thm)],[c_50,c_1066]) ).

cnf(c_1078,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X1,X2))))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_1061,c_1066]) ).

cnf(c_1079,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X3))),X2))
    | ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_1062,c_1066]) ).

cnf(c_1080,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
    inference(superposition,[status(thm)],[c_1063,c_1066]) ).

cnf(c_1113,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
    inference(superposition,[status(thm)],[c_1063,c_1078]) ).

cnf(c_1125,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
    inference(superposition,[status(thm)],[c_1113,c_49]) ).

cnf(c_1146,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X1,X2),X0)))) ),
    inference(superposition,[status(thm)],[c_1125,c_1080]) ).

cnf(c_1149,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1125,c_1077]) ).

cnf(c_1150,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(equivalent(X1,X0))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_1125,c_1079]) ).

cnf(c_1351,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X2,X0)))),
    inference(superposition,[status(thm)],[c_50,c_1149]) ).

cnf(c_1434,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_1146,c_1066]) ).

cnf(c_4926,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_1351,c_1150]) ).

cnf(c_7171,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X3))
    | is_a_theorem(equivalent(X2,equivalent(X3,equivalent(X0,X1)))) ),
    inference(superposition,[status(thm)],[c_1434,c_1080]) ).

cnf(c_10478,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X2,equivalent(X0,X1))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_10483,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_7171,c_4926]) ).

cnf(c_10498,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X1,X2)),X2))),
    inference(superposition,[status(thm)],[c_50,c_10478]) ).

cnf(c_10524,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
    | is_a_theorem(equivalent(equivalent(X2,equivalent(X0,X1)),X3)) ),
    inference(superposition,[status(thm)],[c_50,c_10483]) ).

cnf(c_10559,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X2,X0))))),
    inference(superposition,[status(thm)],[c_10498,c_10478]) ).

cnf(c_10602,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
    inference(superposition,[status(thm)],[c_10559,c_4926]) ).

cnf(c_10831,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X0),X1))),
    inference(superposition,[status(thm)],[c_10602,c_10524]) ).

cnf(c_18509,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
    inference(superposition,[status(thm)],[c_10831,c_10478]) ).

cnf(c_18540,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_18509]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n020.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 18:57:31 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 61.63/9.22  % SZS status Started for theBenchmark.p
% 61.63/9.22  % SZS status Unsatisfiable for theBenchmark.p
% 61.63/9.22  
% 61.63/9.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.63/9.22  
% 61.63/9.22  ------  iProver source info
% 61.63/9.22  
% 61.63/9.22  git: date: 2024-05-02 19:28:25 +0000
% 61.63/9.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.63/9.22  git: non_committed_changes: false
% 61.63/9.22  
% 61.63/9.22  ------ Parsing...successful
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 61.63/9.22  
% 61.63/9.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 61.63/9.22  ------ Proving...
% 61.63/9.22  ------ Problem Properties 
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  clauses                                 3
% 61.63/9.22  conjectures                             1
% 61.63/9.22  EPR                                     0
% 61.63/9.22  Horn                                    3
% 61.63/9.22  unary                                   2
% 61.63/9.22  binary                                  0
% 61.63/9.22  lits                                    5
% 61.63/9.22  lits eq                                 0
% 61.63/9.22  fd_pure                                 0
% 61.63/9.22  fd_pseudo                               0
% 61.63/9.22  fd_cond                                 0
% 61.63/9.22  fd_pseudo_cond                          0
% 61.63/9.22  AC symbols                              0
% 61.63/9.22  
% 61.63/9.22  ------ Input Options Time Limit: Unbounded
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  ------ 
% 61.63/9.22  Current options:
% 61.63/9.22  ------ 
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  ------ Proving...
% 61.63/9.22  
% 61.63/9.22  
% 61.63/9.22  % SZS status Unsatisfiable for theBenchmark.p
% 61.63/9.22  
% 61.63/9.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.63/9.22  
% 61.63/9.22  
%------------------------------------------------------------------------------