TSTP Solution File: LCL094-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 07:42:27 EDT 2023

% Result   : Unsatisfiable 13.98s 2.67s
% Output   : CNFRefutation 13.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   50 (  30 unt;   0 nHn;   6 RR)
%            Number of literals    :   72 (   0 equ;  23 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   :  171 (  81 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,implies(implies(a,b),b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).

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_462,plain,
    is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))),
    inference(superposition,[status(thm)],[c_317,c_108]) ).

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_621,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_698,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_1188,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_50,c_698]) ).

cnf(c_1210,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1188,c_108]) ).

cnf(c_1481,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1210,c_49]) ).

cnf(c_1910,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_1210,c_1481]) ).

cnf(c_1973,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,implies(X1,X0))) ),
    inference(superposition,[status(thm)],[c_1910,c_621]) ).

cnf(c_1976,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1910,c_230]) ).

cnf(c_3058,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1976,c_49]) ).

cnf(c_3059,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_1976,c_108]) ).

cnf(c_3292,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_1976,c_3058]) ).

cnf(c_3298,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
    inference(superposition,[status(thm)],[c_3292,c_108]) ).

cnf(c_4909,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
    inference(superposition,[status(thm)],[c_3059,c_49]) ).

cnf(c_4954,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_3298,c_49]) ).

cnf(c_5164,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
    inference(superposition,[status(thm)],[c_1976,c_1973]) ).

cnf(c_5582,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
    inference(superposition,[status(thm)],[c_5164,c_1973]) ).

cnf(c_6273,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_5582,c_4909]) ).

cnf(c_6329,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_5582,c_4954]) ).

cnf(c_6649,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_6273,c_49]) ).

cnf(c_6729,plain,
    is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
    inference(superposition,[status(thm)],[c_6329,c_108]) ).

cnf(c_6979,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),implies(X3,X2)))),
    inference(superposition,[status(thm)],[c_508,c_6649]) ).

cnf(c_8110,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
    inference(superposition,[status(thm)],[c_462,c_49]) ).

cnf(c_8485,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
    inference(superposition,[status(thm)],[c_5582,c_8110]) ).

cnf(c_8717,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X0)),X3),implies(X4,X3)))),
    inference(superposition,[status(thm)],[c_6979,c_6649]) ).

cnf(c_16570,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_6729,c_49]) ).

cnf(c_17745,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
    | is_a_theorem(implies(X0,X3)) ),
    inference(superposition,[status(thm)],[c_8485,c_49]) ).

cnf(c_19368,plain,
    is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_8717,c_16570]) ).

cnf(c_20057,plain,
    ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
    | is_a_theorem(implies(X2,implies(X0,X1))) ),
    inference(superposition,[status(thm)],[c_19368,c_49]) ).

cnf(c_20066,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
    inference(superposition,[status(thm)],[c_19368,c_17745]) ).

cnf(c_26841,plain,
    is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(superposition,[status(thm)],[c_6329,c_20057]) ).

cnf(c_26866,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
    inference(superposition,[status(thm)],[c_20066,c_20057]) ).

cnf(c_27855,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
    inference(superposition,[status(thm)],[c_26841,c_49]) ).

cnf(c_29443,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(superposition,[status(thm)],[c_26866,c_27855]) ).

cnf(c_29469,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_29443,c_49]) ).

cnf(c_29631,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_26866,c_29469]) ).

cnf(c_29636,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_29631]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 23:36:03 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
% 13.98/2.67  % SZS status Started for theBenchmark.p
% 13.98/2.67  % SZS status Unsatisfiable for theBenchmark.p
% 13.98/2.67  
% 13.98/2.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.98/2.67  
% 13.98/2.67  ------  iProver source info
% 13.98/2.67  
% 13.98/2.67  git: date: 2023-05-31 18:12:56 +0000
% 13.98/2.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.98/2.67  git: non_committed_changes: false
% 13.98/2.67  git: last_make_outside_of_git: false
% 13.98/2.67  
% 13.98/2.67  ------ Parsing...successful
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 13.98/2.67  
% 13.98/2.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.98/2.67  ------ Proving...
% 13.98/2.67  ------ Problem Properties 
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  clauses                                 3
% 13.98/2.67  conjectures                             1
% 13.98/2.67  EPR                                     0
% 13.98/2.67  Horn                                    3
% 13.98/2.67  unary                                   2
% 13.98/2.67  binary                                  0
% 13.98/2.67  lits                                    5
% 13.98/2.67  lits eq                                 0
% 13.98/2.67  fd_pure                                 0
% 13.98/2.67  fd_pseudo                               0
% 13.98/2.67  fd_cond                                 0
% 13.98/2.67  fd_pseudo_cond                          0
% 13.98/2.67  AC symbols                              0
% 13.98/2.67  
% 13.98/2.67  ------ Schedule dynamic 5 is on 
% 13.98/2.67  
% 13.98/2.67  ------ no equalities: superposition off 
% 13.98/2.67  
% 13.98/2.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  ------ 
% 13.98/2.67  Current options:
% 13.98/2.67  ------ 
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  ------ Proving...
% 13.98/2.67  
% 13.98/2.67  
% 13.98/2.67  % SZS status Unsatisfiable for theBenchmark.p
% 13.98/2.67  
% 13.98/2.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.98/2.67  
% 13.98/2.68  
%------------------------------------------------------------------------------