TSTP Solution File: LCL015-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 07:42:03 EDT 2023

% Result   : Unsatisfiable 49.98s 7.72s
% Output   : CNFRefutation 49.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   42 (  11 unt;   0 nHn;  25 RR)
%            Number of literals    :   88 (   0 equ;  47 neg)
%            Maximal clause size   :    4 (   2 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   :  120 (   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,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yrm) ).

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

cnf(c_69,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_73,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_69,c_49]) ).

cnf(c_86,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_73,c_49]) ).

cnf(c_109,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_138,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3))
    | ~ is_a_theorem(X3)
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_50,c_86]) ).

cnf(c_139,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
    | ~ is_a_theorem(equivalent(X2,X0))
    | ~ is_a_theorem(X3)
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_109,c_86]) ).

cnf(c_172,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X0),X2)))
    | is_a_theorem(equivalent(X3,X1)) ),
    inference(superposition,[status(thm)],[c_50,c_138]) ).

cnf(c_195,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_214,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_195,c_172]) ).

cnf(c_251,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)),
    inference(superposition,[status(thm)],[c_50,c_214]) ).

cnf(c_280,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(X2,X3))))
    | ~ is_a_theorem(equivalent(X1,X2))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_50,c_139]) ).

cnf(c_283,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X2,equivalent(X0,X1))) ),
    inference(superposition,[status(thm)],[c_251,c_139]) ).

cnf(c_345,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_400,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_345,c_172]) ).

cnf(c_446,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,equivalent(X2,X1)))))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_50,c_280]) ).

cnf(c_447,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X2,X0))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_345,c_280]) ).

cnf(c_527,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)),
    inference(superposition,[status(thm)],[c_50,c_400]) ).

cnf(c_530,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(superposition,[status(thm)],[c_283,c_400]) ).

cnf(c_578,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_586,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_578,c_49]) ).

cnf(c_606,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X2))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_50,c_447]) ).

cnf(c_613,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X0,X1),X2)),X2)) ),
    inference(superposition,[status(thm)],[c_50,c_530]) ).

cnf(c_654,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X2,X1))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_586,c_606]) ).

cnf(c_659,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_613,c_49]) ).

cnf(c_850,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_578,c_659]) ).

cnf(c_29358,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_50,c_850]) ).

cnf(c_29359,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_29529,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_527,c_654]) ).

cnf(c_29551,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
    inference(superposition,[status(thm)],[c_29529,c_29358]) ).

cnf(c_29552,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_29529,c_446]) ).

cnf(c_29558,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_29359,c_29552]) ).

cnf(c_29626,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
    inference(superposition,[status(thm)],[c_527,c_29551]) ).

cnf(c_29682,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X2,X1))),
    inference(superposition,[status(thm)],[c_50,c_29558]) ).

cnf(c_29696,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X1,X2))),
    inference(superposition,[status(thm)],[c_29626,c_29558]) ).

cnf(c_29717,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
    inference(superposition,[status(thm)],[c_29682,c_530]) ).

cnf(c_30621,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X1,X2))),X2)),
    inference(superposition,[status(thm)],[c_29696,c_29551]) ).

cnf(c_31602,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X2,X0)))),
    inference(superposition,[status(thm)],[c_30621,c_29717]) ).

cnf(c_33690,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X0,X1)))),
    inference(superposition,[status(thm)],[c_31602,c_29558]) ).

cnf(c_33707,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_33690]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 20:04:06 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 49.98/7.72  % SZS status Started for theBenchmark.p
% 49.98/7.72  % SZS status Unsatisfiable for theBenchmark.p
% 49.98/7.72  
% 49.98/7.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 49.98/7.72  
% 49.98/7.72  ------  iProver source info
% 49.98/7.72  
% 49.98/7.72  git: date: 2023-05-31 18:12:56 +0000
% 49.98/7.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 49.98/7.72  git: non_committed_changes: false
% 49.98/7.72  git: last_make_outside_of_git: false
% 49.98/7.72  
% 49.98/7.72  ------ Parsing...successful
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 49.98/7.72  
% 49.98/7.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 49.98/7.72  ------ Proving...
% 49.98/7.72  ------ Problem Properties 
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  clauses                                 3
% 49.98/7.72  conjectures                             1
% 49.98/7.72  EPR                                     0
% 49.98/7.72  Horn                                    3
% 49.98/7.72  unary                                   2
% 49.98/7.72  binary                                  0
% 49.98/7.72  lits                                    5
% 49.98/7.72  lits eq                                 0
% 49.98/7.72  fd_pure                                 0
% 49.98/7.72  fd_pseudo                               0
% 49.98/7.72  fd_cond                                 0
% 49.98/7.72  fd_pseudo_cond                          0
% 49.98/7.72  AC symbols                              0
% 49.98/7.72  
% 49.98/7.72  ------ Input Options Time Limit: Unbounded
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  ------ 
% 49.98/7.72  Current options:
% 49.98/7.72  ------ 
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  ------ Proving...
% 49.98/7.72  
% 49.98/7.72  
% 49.98/7.72  % SZS status Unsatisfiable for theBenchmark.p
% 49.98/7.72  
% 49.98/7.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.98/7.72  
% 49.98/7.72  
%------------------------------------------------------------------------------