TSTP Solution File: LCL089-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL089-1 : 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 : Thu Aug 31 07:42:25 EDT 2023

% Result   : Unsatisfiable 13.46s 2.71s
% Output   : CNFRefutation 13.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   56 (  28 unt;   0 nHn;   6 RR)
%            Number of literals    :   87 (   0 equ;  32 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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  202 (  94 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(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_4) ).

cnf(c_346,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_349,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_346]) ).

cnf(c_350,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_349,c_49]) ).

cnf(c_354,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_350]) ).

cnf(c_356,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_354,c_49]) ).

cnf(c_358,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
    inference(superposition,[status(thm)],[c_354,c_346]) ).

cnf(c_361,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
    inference(superposition,[status(thm)],[c_50,c_356]) ).

cnf(c_363,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
    inference(superposition,[status(thm)],[c_354,c_356]) ).

cnf(c_368,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))) ),
    inference(superposition,[status(thm)],[c_358,c_49]) ).

cnf(c_372,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_361,c_49]) ).

cnf(c_376,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_363,c_49]) ).

cnf(c_396,plain,
    is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0))))),
    inference(superposition,[status(thm)],[c_50,c_368]) ).

cnf(c_412,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_50,c_372]) ).

cnf(c_430,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_50,c_376]) ).

cnf(c_478,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))))
    | is_a_theorem(implies(X4,implies(implies(X2,X0),implies(X3,X0)))) ),
    inference(superposition,[status(thm)],[c_396,c_49]) ).

cnf(c_503,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_412,c_49]) ).

cnf(c_520,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_430,c_346]) ).

cnf(c_523,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_503,c_49]) ).

cnf(c_545,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_520,c_49]) ).

cnf(c_561,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
    | is_a_theorem(implies(X4,implies(X5,implies(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_354,c_523]) ).

cnf(c_814,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_412,c_478]) ).

cnf(c_1074,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_814,c_545]) ).

cnf(c_1321,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
    inference(superposition,[status(thm)],[c_1074,c_561]) ).

cnf(c_7849,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_1321,c_49]) ).

cnf(c_7852,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1321,c_7849]) ).

cnf(c_7853,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_7852,c_49]) ).

cnf(c_7857,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_7852,c_7853]) ).

cnf(c_7859,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_7857,c_49]) ).

cnf(c_7870,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_7876,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(X2,implies(implies(X1,X3),implies(X0,X3)))) ),
    inference(superposition,[status(thm)],[c_7859,c_7870]) ).

cnf(c_7877,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_7852,c_7870]) ).

cnf(c_7878,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_7857,c_7870]) ).

cnf(c_7879,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))),
    inference(superposition,[status(thm)],[c_1321,c_7870]) ).

cnf(c_7886,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(implies(implies(X1,X3),implies(X0,X3))) ),
    inference(superposition,[status(thm)],[c_7876,c_49]) ).

cnf(c_7891,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
    inference(superposition,[status(thm)],[c_7877,c_49]) ).

cnf(c_7894,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))),
    inference(superposition,[status(thm)],[c_7877,c_7870]) ).

cnf(c_7895,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_7878,c_49]) ).

cnf(c_7933,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_7879,c_7886]) ).

cnf(c_7955,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_7879,c_7891]) ).

cnf(c_7957,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3))) ),
    inference(superposition,[status(thm)],[c_7894,c_49]) ).

cnf(c_7964,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_7955,c_49]) ).

cnf(c_7973,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3))))),
    inference(superposition,[status(thm)],[c_50,c_7964]) ).

cnf(c_8031,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_7955,c_7895]) ).

cnf(c_8189,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X0),X1),X2))),
    inference(superposition,[status(thm)],[c_7955,c_7957]) ).

cnf(c_8270,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_8031,c_49]) ).

cnf(c_8305,plain,
    ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
    | is_a_theorem(implies(X2,implies(X0,X1))) ),
    inference(superposition,[status(thm)],[c_7933,c_8270]) ).

cnf(c_9333,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(superposition,[status(thm)],[c_8031,c_8305]) ).

cnf(c_9548,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
    inference(superposition,[status(thm)],[c_9333,c_49]) ).

cnf(c_9707,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(superposition,[status(thm)],[c_8189,c_9548]) ).

cnf(c_9720,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_9707,c_49]) ).

cnf(c_10489,plain,
    ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
    | is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_7933,c_9720]) ).

cnf(c_12148,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_7973,c_10489]) ).

cnf(c_21926,plain,
    $false,
    inference(superposition,[status(thm)],[c_12148,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 06:40:00 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.46/2.71  % SZS status Started for theBenchmark.p
% 13.46/2.71  % SZS status Unsatisfiable for theBenchmark.p
% 13.46/2.71  
% 13.46/2.71  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.46/2.71  
% 13.46/2.71  ------  iProver source info
% 13.46/2.71  
% 13.46/2.71  git: date: 2023-05-31 18:12:56 +0000
% 13.46/2.71  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.46/2.71  git: non_committed_changes: false
% 13.46/2.71  git: last_make_outside_of_git: false
% 13.46/2.71  
% 13.46/2.71  ------ Parsing...successful
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 13.46/2.71  
% 13.46/2.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.46/2.71  ------ Proving...
% 13.46/2.71  ------ Problem Properties 
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  clauses                                 3
% 13.46/2.71  conjectures                             1
% 13.46/2.71  EPR                                     0
% 13.46/2.71  Horn                                    3
% 13.46/2.71  unary                                   2
% 13.46/2.71  binary                                  0
% 13.46/2.71  lits                                    5
% 13.46/2.71  lits eq                                 0
% 13.46/2.71  fd_pure                                 0
% 13.46/2.71  fd_pseudo                               0
% 13.46/2.71  fd_cond                                 0
% 13.46/2.71  fd_pseudo_cond                          0
% 13.46/2.71  AC symbols                              0
% 13.46/2.71  
% 13.46/2.71  ------ Input Options Time Limit: Unbounded
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  ------ 
% 13.46/2.71  Current options:
% 13.46/2.71  ------ 
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  ------ Proving...
% 13.46/2.71  
% 13.46/2.71  
% 13.46/2.71  % SZS status Unsatisfiable for theBenchmark.p
% 13.46/2.71  
% 13.46/2.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.46/2.71  
% 13.46/2.72  
%------------------------------------------------------------------------------