TSTP Solution File: LCL086-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 07:42:25 EDT 2023

% Result   : Unsatisfiable 7.18s 1.65s
% Output   : CNFRefutation 7.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   36 (  21 unt;   0 nHn;   3 RR)
%            Number of literals    :   53 (   0 equ;  18 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    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :  117 (  59 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(implies(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(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_1) ).

cnf(c_108,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
    | is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_140,plain,
    is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
    inference(superposition,[status(thm)],[c_50,c_108]) ).

cnf(c_159,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
    inference(superposition,[status(thm)],[c_140,c_49]) ).

cnf(c_222,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(superposition,[status(thm)],[c_50,c_159]) ).

cnf(c_230,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
    | is_a_theorem(implies(X4,implies(X1,X3))) ),
    inference(superposition,[status(thm)],[c_222,c_49]) ).

cnf(c_317,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
    inference(superposition,[status(thm)],[c_50,c_230]) ).

cnf(c_319,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
    inference(superposition,[status(thm)],[c_222,c_230]) ).

cnf(c_461,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_317,c_49]) ).

cnf(c_508,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_50,c_461]) ).

cnf(c_519,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_508,c_49]) ).

cnf(c_620,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_519,c_49]) ).

cnf(c_697,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_319,c_49]) ).

cnf(c_1186,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_50,c_697]) ).

cnf(c_1207,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1186,c_108]) ).

cnf(c_1478,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1207,c_49]) ).

cnf(c_1907,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_1207,c_1478]) ).

cnf(c_1970,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,implies(X1,X0))) ),
    inference(superposition,[status(thm)],[c_1907,c_620]) ).

cnf(c_1973,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1907,c_230]) ).

cnf(c_3027,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1973,c_49]) ).

cnf(c_3028,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_1973,c_108]) ).

cnf(c_3158,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_1973,c_3027]) ).

cnf(c_3177,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_3158,c_108]) ).

cnf(c_4815,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
    inference(superposition,[status(thm)],[c_3028,c_49]) ).

cnf(c_4918,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_3177,c_49]) ).

cnf(c_5084,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
    inference(superposition,[status(thm)],[c_1973,c_1970]) ).

cnf(c_5511,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
    inference(superposition,[status(thm)],[c_5084,c_1970]) ).

cnf(c_6082,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_5511,c_4815]) ).

cnf(c_6115,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_5511,c_4918]) ).

cnf(c_6391,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_6115,c_49]) ).

cnf(c_7276,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_6082,c_6391]) ).

cnf(c_7349,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_7276,c_49]) ).

cnf(c_7591,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_5511,c_7349]) ).

cnf(c_7597,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_7591]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.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 Aug 24 18:32:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.18/1.65  % SZS status Started for theBenchmark.p
% 7.18/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.18/1.65  
% 7.18/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.18/1.65  
% 7.18/1.65  ------  iProver source info
% 7.18/1.65  
% 7.18/1.65  git: date: 2023-05-31 18:12:56 +0000
% 7.18/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.18/1.65  git: non_committed_changes: false
% 7.18/1.65  git: last_make_outside_of_git: false
% 7.18/1.65  
% 7.18/1.65  ------ Parsing...successful
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.18/1.65  
% 7.18/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.18/1.65  ------ Proving...
% 7.18/1.65  ------ Problem Properties 
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  clauses                                 3
% 7.18/1.65  conjectures                             1
% 7.18/1.65  EPR                                     0
% 7.18/1.65  Horn                                    3
% 7.18/1.65  unary                                   2
% 7.18/1.65  binary                                  0
% 7.18/1.65  lits                                    5
% 7.18/1.65  lits eq                                 0
% 7.18/1.65  fd_pure                                 0
% 7.18/1.65  fd_pseudo                               0
% 7.18/1.65  fd_cond                                 0
% 7.18/1.65  fd_pseudo_cond                          0
% 7.18/1.65  AC symbols                              0
% 7.18/1.65  
% 7.18/1.65  ------ Schedule dynamic 5 is on 
% 7.18/1.65  
% 7.18/1.65  ------ no equalities: superposition off 
% 7.18/1.65  
% 7.18/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  ------ 
% 7.18/1.65  Current options:
% 7.18/1.65  ------ 
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  ------ Proving...
% 7.18/1.65  
% 7.18/1.65  
% 7.18/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.18/1.65  
% 7.18/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.18/1.65  
% 7.18/1.65  
%------------------------------------------------------------------------------