TSTP Solution File: LCL131-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 07:42:40 EDT 2023

% Result   : Unsatisfiable 20.74s 3.69s
% Output   : CNFRefutation 20.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   44 (  22 unt;   0 nHn;  17 RR)
%            Number of literals    :   70 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  145 (   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(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_6) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).

cnf(c_103,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_133,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))),
    inference(superposition,[status(thm)],[c_50,c_103]) ).

cnf(c_148,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
    inference(superposition,[status(thm)],[c_133,c_103]) ).

cnf(c_162,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_148,c_49]) ).

cnf(c_163,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
    inference(superposition,[status(thm)],[c_148,c_103]) ).

cnf(c_221,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
    inference(superposition,[status(thm)],[c_133,c_162]) ).

cnf(c_242,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
    | is_a_theorem(equivalent(equivalent(X0,X2),X3)) ),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_243,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))),
    inference(superposition,[status(thm)],[c_163,c_103]) ).

cnf(c_283,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
    inference(superposition,[status(thm)],[c_221,c_49]) ).

cnf(c_329,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
    inference(superposition,[status(thm)],[c_50,c_242]) ).

cnf(c_331,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_221,c_242]) ).

cnf(c_405,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))
    | is_a_theorem(equivalent(X0,equivalent(X1,X3))) ),
    inference(superposition,[status(thm)],[c_329,c_49]) ).

cnf(c_407,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
    inference(superposition,[status(thm)],[c_329,c_242]) ).

cnf(c_460,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
    inference(superposition,[status(thm)],[c_221,c_283]) ).

cnf(c_594,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3))),
    inference(superposition,[status(thm)],[c_163,c_405]) ).

cnf(c_595,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(X1,X3))),equivalent(X0,X2))),
    inference(superposition,[status(thm)],[c_329,c_405]) ).

cnf(c_655,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_331,c_49]) ).

cnf(c_733,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_655,c_49]) ).

cnf(c_737,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1)))) ),
    inference(superposition,[status(thm)],[c_655,c_242]) ).

cnf(c_771,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4))
    | is_a_theorem(equivalent(X0,X4)) ),
    inference(superposition,[status(thm)],[c_50,c_733]) ).

cnf(c_776,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4))
    | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X3)),X4)) ),
    inference(superposition,[status(thm)],[c_329,c_733]) ).

cnf(c_980,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)))
    | is_a_theorem(equivalent(X0,X3)) ),
    inference(superposition,[status(thm)],[c_243,c_49]) ).

cnf(c_1108,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)))
    | is_a_theorem(equivalent(X0,X3)) ),
    inference(superposition,[status(thm)],[c_594,c_49]) ).

cnf(c_1111,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(X1,X3))))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_595,c_49]) ).

cnf(c_1121,plain,
    is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
    inference(superposition,[status(thm)],[c_407,c_980]) ).

cnf(c_1122,plain,
    is_a_theorem(equivalent(X0,X0)),
    inference(superposition,[status(thm)],[c_460,c_980]) ).

cnf(c_1192,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_737,c_1111]) ).

cnf(c_1451,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
    inference(superposition,[status(thm)],[c_1121,c_1108]) ).

cnf(c_1468,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1))) ),
    inference(superposition,[status(thm)],[c_1451,c_49]) ).

cnf(c_1487,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))),
    inference(superposition,[status(thm)],[c_1451,c_1192]) ).

cnf(c_1539,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2)) ),
    inference(superposition,[status(thm)],[c_1487,c_49]) ).

cnf(c_1556,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
    inference(superposition,[status(thm)],[c_1468,c_49]) ).

cnf(c_1568,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X2)))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_1539,c_49]) ).

cnf(c_1624,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X1),X0)) ),
    inference(superposition,[status(thm)],[c_1122,c_1556]) ).

cnf(c_2093,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(superposition,[status(thm)],[c_407,c_1568]) ).

cnf(c_3597,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1624,c_1108]) ).

cnf(c_3922,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
    inference(superposition,[status(thm)],[c_1451,c_3597]) ).

cnf(c_8512,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
    inference(superposition,[status(thm)],[c_3922,c_776]) ).

cnf(c_9163,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
    inference(superposition,[status(thm)],[c_8512,c_771]) ).

cnf(c_40600,plain,
    is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
    inference(superposition,[status(thm)],[c_9163,c_2093]) ).

cnf(c_40662,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_40600]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug 24 21:58:12 EDT 2023
% 0.12/0.33  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.74/3.69  % SZS status Started for theBenchmark.p
% 20.74/3.69  % SZS status Unsatisfiable for theBenchmark.p
% 20.74/3.69  
% 20.74/3.69  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.74/3.69  
% 20.74/3.69  ------  iProver source info
% 20.74/3.69  
% 20.74/3.69  git: date: 2023-05-31 18:12:56 +0000
% 20.74/3.69  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.74/3.69  git: non_committed_changes: false
% 20.74/3.69  git: last_make_outside_of_git: false
% 20.74/3.69  
% 20.74/3.69  ------ Parsing...successful
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 20.74/3.69  
% 20.74/3.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.74/3.69  ------ Proving...
% 20.74/3.69  ------ Problem Properties 
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  clauses                                 3
% 20.74/3.69  conjectures                             1
% 20.74/3.69  EPR                                     0
% 20.74/3.69  Horn                                    3
% 20.74/3.69  unary                                   2
% 20.74/3.69  binary                                  0
% 20.74/3.69  lits                                    5
% 20.74/3.69  lits eq                                 0
% 20.74/3.69  fd_pure                                 0
% 20.74/3.69  fd_pseudo                               0
% 20.74/3.69  fd_cond                                 0
% 20.74/3.69  fd_pseudo_cond                          0
% 20.74/3.69  AC symbols                              0
% 20.74/3.69  
% 20.74/3.69  ------ Schedule dynamic 5 is on 
% 20.74/3.69  
% 20.74/3.69  ------ no equalities: superposition off 
% 20.74/3.69  
% 20.74/3.69  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  ------ 
% 20.74/3.69  Current options:
% 20.74/3.69  ------ 
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  ------ Proving...
% 20.74/3.69  
% 20.74/3.69  
% 20.74/3.69  % SZS status Unsatisfiable for theBenchmark.p
% 20.74/3.69  
% 20.74/3.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.74/3.69  
% 20.74/3.69  
%------------------------------------------------------------------------------