TSTP Solution File: LCL213-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL213-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Fri May  3 02:37:17 EDT 2024

% Result   : Unsatisfiable 14.18s 2.66s
% Output   : CNFRefutation 14.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   38 (  12 unt;   0 nHn;  27 RR)
%            Number of literals    :   75 (   0 equ;  38 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(or(not(or(not(p),q)),or(not(or(not(not(p)),q)),q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(c_52,plain,
    axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(c_53,plain,
    axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(c_54,plain,
    axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

cnf(c_55,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(c_56,plain,
    ( ~ axiom(or(not(X0),X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(c_57,plain,
    ( ~ theorem(or(not(X0),X1))
    | ~ axiom(or(not(X2),X0))
    | theorem(or(not(X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(c_92,plain,
    theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[status(thm)],[c_50,c_55]) ).

cnf(c_231,plain,
    ( ~ axiom(or(not(or(not(or(X0,X0)),X0)),X1))
    | ~ theorem(or(not(or(X0,X0)),X0))
    | theorem(X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_233,plain,
    ( ~ axiom(or(not(or(not(or(X0,X0)),X0)),X1))
    | theorem(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_92,c_231]) ).

cnf(c_263,plain,
    ( ~ axiom(or(not(or(X0,X1)),or(X1,X0)))
    | ~ theorem(or(not(or(X1,X0)),X2))
    | theorem(or(not(or(X0,X1)),X2)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_264,plain,
    ( ~ theorem(or(not(or(X1,X0)),X2))
    | theorem(or(not(or(X0,X1)),X2)) ),
    inference(global_subsumption_just,[status(thm)],[c_263,c_52,c_263]) ).

cnf(c_265,plain,
    ( ~ theorem(or(not(or(X0,X1)),X2))
    | theorem(or(not(or(X1,X0)),X2)) ),
    inference(renaming,[status(thm)],[c_264]) ).

cnf(c_275,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
    | ~ theorem(or(not(or(not(or(X2,X0)),or(X2,X1))),X3))
    | theorem(or(not(or(not(X0),X1)),X3)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_278,plain,
    ( ~ axiom(or(not(or(not(or(X0,X0)),X0)),X1))
    | ~ theorem(or(not(or(X0,X0)),X0))
    | theorem(X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_279,plain,
    ( ~ axiom(or(not(or(not(or(X0,X0)),X0)),X1))
    | theorem(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_278,c_233]) ).

cnf(c_290,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_293,plain,
    ( ~ theorem(or(not(or(q,not(p))),or(not(or(not(not(p)),q)),q)))
    | theorem(or(not(or(not(p),q)),or(not(or(not(not(p)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_265]) ).

cnf(c_330,plain,
    ( ~ axiom(or(not(or(not(or(X0,X0)),X0)),or(not(or(X1,or(X0,X0))),or(X1,X0))))
    | theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_279]) ).

cnf(c_356,plain,
    ( ~ axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2))))
    | ~ theorem(or(not(X0),or(X1,X2)))
    | theorem(or(X1,or(not(X0),X2))) ),
    inference(instantiation,[status(thm)],[c_290]) ).

cnf(c_481,plain,
    axiom(or(not(or(not(or(X0,X0)),X0)),or(not(or(X1,or(X0,X0))),or(X1,X0)))),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_513,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_628,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
    | ~ theorem(or(not(or(not(or(X2,X0)),or(X2,X1))),X3))
    | theorem(or(not(or(not(X0),X1)),X3)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_629,plain,
    ( ~ theorem(or(not(or(not(or(X2,X0)),or(X2,X1))),X3))
    | theorem(or(not(or(not(X0),X1)),X3)) ),
    inference(global_subsumption_just,[status(thm)],[c_628,c_54,c_275]) ).

cnf(c_630,plain,
    ( ~ theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),X3))
    | theorem(or(not(or(not(X1),X2)),X3)) ),
    inference(renaming,[status(thm)],[c_629]) ).

cnf(c_641,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_735,plain,
    ( ~ axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2))))
    | ~ theorem(or(not(X0),or(X1,X2)))
    | theorem(or(X1,or(not(X0),X2))) ),
    inference(instantiation,[status(thm)],[c_641]) ).

cnf(c_736,plain,
    ( ~ theorem(or(not(X0),or(X1,X2)))
    | theorem(or(X1,or(not(X0),X2))) ),
    inference(global_subsumption_just,[status(thm)],[c_735,c_356,c_513]) ).

cnf(c_993,plain,
    ( ~ theorem(or(not(or(not(not(p)),q)),or(not(or(q,not(p))),q)))
    | theorem(or(not(or(q,not(p))),or(not(or(not(not(p)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_736]) ).

cnf(c_2111,plain,
    ( ~ theorem(or(not(or(not(or(X0,not(p))),or(X0,q))),or(not(or(q,not(p))),q)))
    | theorem(or(not(or(not(not(p)),q)),or(not(or(q,not(p))),q))) ),
    inference(instantiation,[status(thm)],[c_630]) ).

cnf(c_2112,plain,
    ( ~ theorem(or(not(or(not(or(q,not(p))),or(q,q))),or(not(or(q,not(p))),q)))
    | theorem(or(not(or(not(not(p)),q)),or(not(or(q,not(p))),q))) ),
    inference(instantiation,[status(thm)],[c_2111]) ).

cnf(c_2779,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(or(not(or(X2,X0)),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_54,c_56]) ).

cnf(c_11321,plain,
    ( ~ theorem(or(not(or(X0,X0)),X0))
    | theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_2779]) ).

cnf(c_11322,plain,
    theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
    inference(global_subsumption_just,[status(thm)],[c_11321,c_330,c_481]) ).

cnf(c_11323,plain,
    theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))),
    inference(renaming,[status(thm)],[c_11322]) ).

cnf(c_34584,plain,
    theorem(or(not(or(not(or(q,not(p))),or(q,q))),or(not(or(q,not(p))),q))),
    inference(instantiation,[status(thm)],[c_11323]) ).

cnf(c_34585,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_34584,c_2112,c_993,c_293,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL213-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n029.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 : Thu May  2 19:32:07 EDT 2024
% 0.20/0.34  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.18/2.66  % SZS status Started for theBenchmark.p
% 14.18/2.66  % SZS status Unsatisfiable for theBenchmark.p
% 14.18/2.66  
% 14.18/2.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.18/2.66  
% 14.18/2.66  ------  iProver source info
% 14.18/2.66  
% 14.18/2.66  git: date: 2024-05-02 19:28:25 +0000
% 14.18/2.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.18/2.66  git: non_committed_changes: false
% 14.18/2.66  
% 14.18/2.66  ------ Parsing...successful
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 14.18/2.66  
% 14.18/2.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 14.18/2.66  ------ Proving...
% 14.18/2.66  ------ Problem Properties 
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  clauses                                 9
% 14.18/2.66  conjectures                             1
% 14.18/2.66  EPR                                     1
% 14.18/2.66  Horn                                    9
% 14.18/2.66  unary                                   6
% 14.18/2.66  binary                                  1
% 14.18/2.66  lits                                    14
% 14.18/2.66  lits eq                                 0
% 14.18/2.66  fd_pure                                 0
% 14.18/2.66  fd_pseudo                               0
% 14.18/2.66  fd_cond                                 0
% 14.18/2.66  fd_pseudo_cond                          0
% 14.18/2.66  AC symbols                              0
% 14.18/2.66  
% 14.18/2.66  ------ Input Options Time Limit: Unbounded
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  ------ 
% 14.18/2.66  Current options:
% 14.18/2.66  ------ 
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  ------ Proving...
% 14.18/2.66  
% 14.18/2.66  
% 14.18/2.66  % SZS status Unsatisfiable for theBenchmark.p
% 14.18/2.66  
% 14.18/2.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.18/2.66  
% 14.18/2.66  
%------------------------------------------------------------------------------