TSTP Solution File: LCL023-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 07:42:05 EDT 2023

% Result   : Unsatisfiable 2.97s 1.17s
% Output   : CNFRefutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   29 (  13 unt;   0 nHn;  15 RR)
%            Number of literals    :   50 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   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   :   71 (   0 sgn)

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

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_2) ).

cnf(c_117,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_128,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X1))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_117,c_49]) ).

cnf(c_162,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
    | is_a_theorem(equivalent(equivalent(X3,X2),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_128]) ).

cnf(c_163,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(equivalent(X1,X3))
    | is_a_theorem(equivalent(equivalent(X2,X3),X0)) ),
    inference(superposition,[status(thm)],[c_117,c_128]) ).

cnf(c_222,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_162]) ).

cnf(c_223,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X3,X0),X2))) ),
    inference(superposition,[status(thm)],[c_117,c_162]) ).

cnf(c_268,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_222,c_128]) ).

cnf(c_283,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
    inference(superposition,[status(thm)],[c_50,c_268]) ).

cnf(c_285,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1))) ),
    inference(superposition,[status(thm)],[c_117,c_268]) ).

cnf(c_323,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(equivalent(X3,X0),X2),equivalent(X3,X1))) ),
    inference(superposition,[status(thm)],[c_50,c_163]) ).

cnf(c_407,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_283,c_49]) ).

cnf(c_466,plain,
    is_a_theorem(equivalent(X0,X0)),
    inference(superposition,[status(thm)],[c_222,c_407]) ).

cnf(c_480,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(equivalent(X3,X0),X2))
    | is_a_theorem(equivalent(X3,X1)) ),
    inference(superposition,[status(thm)],[c_323,c_49]) ).

cnf(c_484,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_323,c_407]) ).

cnf(c_696,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2)))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_466,c_480]) ).

cnf(c_755,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_285,c_49]) ).

cnf(c_885,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X1,equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_117,c_484]) ).

cnf(c_888,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
    inference(superposition,[status(thm)],[c_466,c_484]) ).

cnf(c_1090,plain,
    ~ is_a_theorem(equivalent(equivalent(b,equivalent(b,c)),c)),
    inference(superposition,[status(thm)],[c_223,c_51]) ).

cnf(c_1191,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_888,c_696]) ).

cnf(c_1263,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
    inference(superposition,[status(thm)],[c_888,c_885]) ).

cnf(c_1612,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_1191,c_885]) ).

cnf(c_1671,plain,
    is_a_theorem(equivalent(X0,X0)),
    inference(superposition,[status(thm)],[c_1612,c_696]) ).

cnf(c_1675,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1671,c_755]) ).

cnf(c_3318,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
    inference(superposition,[status(thm)],[c_1263,c_1675]) ).

cnf(c_3337,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_1090,c_3318]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n016.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 18:42:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.97/1.17  % SZS status Started for theBenchmark.p
% 2.97/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.97/1.17  
% 2.97/1.17  ------  iProver source info
% 2.97/1.17  
% 2.97/1.17  git: date: 2023-05-31 18:12:56 +0000
% 2.97/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.97/1.17  git: non_committed_changes: false
% 2.97/1.17  git: last_make_outside_of_git: false
% 2.97/1.17  
% 2.97/1.17  ------ Parsing...successful
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.97/1.17  ------ Proving...
% 2.97/1.17  ------ Problem Properties 
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  clauses                                 3
% 2.97/1.17  conjectures                             1
% 2.97/1.17  EPR                                     0
% 2.97/1.17  Horn                                    3
% 2.97/1.17  unary                                   2
% 2.97/1.17  binary                                  0
% 2.97/1.17  lits                                    5
% 2.97/1.17  lits eq                                 0
% 2.97/1.17  fd_pure                                 0
% 2.97/1.17  fd_pseudo                               0
% 2.97/1.17  fd_cond                                 0
% 2.97/1.17  fd_pseudo_cond                          0
% 2.97/1.17  AC symbols                              0
% 2.97/1.17  
% 2.97/1.17  ------ Schedule dynamic 5 is on 
% 2.97/1.17  
% 2.97/1.17  ------ no equalities: superposition off 
% 2.97/1.17  
% 2.97/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ 
% 2.97/1.17  Current options:
% 2.97/1.17  ------ 
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ Proving...
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/1.18  
% 2.97/1.18  
%------------------------------------------------------------------------------