TSTP Solution File: LCL083-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 07:42:23 EDT 2023

% Result   : Unsatisfiable 9.80s 2.15s
% Output   : CNFRefutation 9.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   46 (  31 unt;   0 nHn;   4 RR)
%            Number of literals    :   62 (   0 equ;  17 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  162 (  90 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),X2),implies(implies(X2,X0),implies(X3,X0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).

cnf(c_104,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(X2,X0),implies(X3,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_121,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_104]) ).

cnf(c_145,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
    inference(superposition,[status(thm)],[c_121,c_104]) ).

cnf(c_272,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))))
    | is_a_theorem(implies(X5,implies(implies(X3,X1),implies(X4,X1)))) ),
    inference(superposition,[status(thm)],[c_145,c_49]) ).

cnf(c_428,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_50,c_272]) ).

cnf(c_429,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_121,c_272]) ).

cnf(c_509,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) ),
    inference(superposition,[status(thm)],[c_429,c_49]) ).

cnf(c_581,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,X1))),
    inference(superposition,[status(thm)],[c_428,c_509]) ).

cnf(c_596,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_581,c_49]) ).

cnf(c_670,plain,
    is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(X1,X2)))),
    inference(superposition,[status(thm)],[c_121,c_596]) ).

cnf(c_20625,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(X2,X0),implies(X3,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_20633,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X0),implies(X3,X0))),
    inference(superposition,[status(thm)],[c_670,c_20625]) ).

cnf(c_20634,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X0))
    | is_a_theorem(implies(X3,X0)) ),
    inference(superposition,[status(thm)],[c_20633,c_49]) ).

cnf(c_20642,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X2)))),
    inference(superposition,[status(thm)],[c_20633,c_20634]) ).

cnf(c_20643,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X1,X2))) ),
    inference(superposition,[status(thm)],[c_20642,c_49]) ).

cnf(c_20658,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_20643]) ).

cnf(c_20664,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_20658,c_20625]) ).

cnf(c_20699,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_20664,c_49]) ).

cnf(c_20700,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2)))),
    inference(superposition,[status(thm)],[c_20664,c_20625]) ).

cnf(c_20715,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_20664,c_20699]) ).

cnf(c_20722,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_20715,c_20625]) ).

cnf(c_20741,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_20722,c_49]) ).

cnf(c_20742,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X2)),implies(X3,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_20722,c_20625]) ).

cnf(c_20748,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_20742,c_20699]) ).

cnf(c_20753,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_50,c_20741]) ).

cnf(c_20761,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))),
    inference(superposition,[status(thm)],[c_20753,c_20625]) ).

cnf(c_20777,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
    inference(superposition,[status(thm)],[c_20748,c_20625]) ).

cnf(c_20805,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
    inference(superposition,[status(thm)],[c_20777,c_20741]) ).

cnf(c_20811,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X2))),X3),implies(X4,X3))),
    inference(superposition,[status(thm)],[c_20805,c_20625]) ).

cnf(c_20841,plain,
    is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X3,X1)),implies(X4,implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_20700,c_20625]) ).

cnf(c_20848,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
    inference(superposition,[status(thm)],[c_20811,c_20741]) ).

cnf(c_20858,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,X1)))
    | is_a_theorem(implies(X4,implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_20841,c_49]) ).

cnf(c_20952,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3))
    | is_a_theorem(implies(X4,X3)) ),
    inference(superposition,[status(thm)],[c_20761,c_49]) ).

cnf(c_21004,plain,
    is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_20858]) ).

cnf(c_21020,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
    inference(superposition,[status(thm)],[c_21004,c_49]) ).

cnf(c_21043,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_21020]) ).

cnf(c_21077,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),
    inference(superposition,[status(thm)],[c_21043,c_20625]) ).

cnf(c_21518,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
    inference(superposition,[status(thm)],[c_21077,c_20952]) ).

cnf(c_21585,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
    inference(superposition,[status(thm)],[c_21518,c_49]) ).

cnf(c_21832,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(superposition,[status(thm)],[c_20848,c_21585]) ).

cnf(c_21989,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
    inference(superposition,[status(thm)],[c_21832,c_49]) ).

cnf(c_22054,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(superposition,[status(thm)],[c_20848,c_21989]) ).

cnf(c_22088,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_22054]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n017.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 00:47:40 EDT 2023
% 0.13/0.35  % 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
% 9.80/2.15  % SZS status Started for theBenchmark.p
% 9.80/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 9.80/2.15  
% 9.80/2.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.80/2.15  
% 9.80/2.15  ------  iProver source info
% 9.80/2.15  
% 9.80/2.15  git: date: 2023-05-31 18:12:56 +0000
% 9.80/2.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.80/2.15  git: non_committed_changes: false
% 9.80/2.15  git: last_make_outside_of_git: false
% 9.80/2.15  
% 9.80/2.15  ------ Parsing...successful
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.80/2.15  
% 9.80/2.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.80/2.15  ------ Proving...
% 9.80/2.15  ------ Problem Properties 
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  clauses                                 3
% 9.80/2.15  conjectures                             1
% 9.80/2.15  EPR                                     0
% 9.80/2.15  Horn                                    3
% 9.80/2.15  unary                                   2
% 9.80/2.15  binary                                  0
% 9.80/2.15  lits                                    5
% 9.80/2.15  lits eq                                 0
% 9.80/2.15  fd_pure                                 0
% 9.80/2.15  fd_pseudo                               0
% 9.80/2.15  fd_cond                                 0
% 9.80/2.15  fd_pseudo_cond                          0
% 9.80/2.15  AC symbols                              0
% 9.80/2.15  
% 9.80/2.15  ------ Schedule dynamic 5 is on 
% 9.80/2.15  
% 9.80/2.15  ------ no equalities: superposition off 
% 9.80/2.15  
% 9.80/2.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  ------ 
% 9.80/2.15  Current options:
% 9.80/2.15  ------ 
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  ------ Proving...
% 9.80/2.15  
% 9.80/2.15  
% 9.80/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 9.80/2.15  
% 9.80/2.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.80/2.15  
% 9.80/2.15  
%------------------------------------------------------------------------------