TSTP Solution File: LCL218-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:37:18 EDT 2024

% Result   : Unsatisfiable 9.62s 2.19s
% Output   : CNFRefutation 9.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   40 (  19 unt;   0 nHn;  29 RR)
%            Number of literals    :   79 (   0 equ;  40 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   3 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   :   52 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),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_51,plain,
    axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

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_93,plain,
    theorem(or(not(or(q,q)),q)),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_125,plain,
    ( ~ theorem(or(not(or(X0,X1)),X2))
    | theorem(or(not(X1),X2)) ),
    inference(resolution,[status(thm)],[c_51,c_57]) ).

cnf(c_126,plain,
    ( ~ theorem(or(not(or(q,q)),q))
    | theorem(or(not(q),q)) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_217,plain,
    ( ~ axiom(or(not(X0),or(not(or(not(or(p,q)),q)),or(not(p),q))))
    | ~ theorem(X0)
    | theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_221,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),or(not(or(not(or(p,q)),q)),or(not(p),q))))
    | ~ theorem(or(not(X0),X1))
    | theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_217]) ).

cnf(c_224,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_227,plain,
    ( ~ axiom(or(not(or(not(p),or(not(or(not(or(p,q)),q)),q))),or(not(or(not(or(p,q)),q)),or(not(p),q))))
    | ~ theorem(or(not(p),or(not(or(not(or(p,q)),q)),q)))
    | theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_243,plain,
    ( ~ theorem(or(not(X0),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(p),X0))
    | theorem(or(not(p),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_253,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
    | ~ theorem(or(not(X0),X1))
    | theorem(or(not(or(X2,X0)),or(X2,X1))) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_286,plain,
    ( ~ theorem(or(not(or(X0,p)),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(p),or(X0,p)))
    | theorem(or(not(p),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_243]) ).

cnf(c_287,plain,
    ( ~ theorem(or(not(or(q,p)),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(p),or(q,p)))
    | theorem(or(not(p),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_286]) ).

cnf(c_297,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_325,plain,
    axiom(or(not(p),or(X0,p))),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_326,plain,
    axiom(or(not(p),or(q,p))),
    inference(instantiation,[status(thm)],[c_325]) ).

cnf(c_364,plain,
    axiom(or(not(or(not(p),or(not(or(not(or(p,q)),q)),q))),or(not(or(not(or(p,q)),q)),or(not(p),q)))),
    inference(instantiation,[status(thm)],[c_297]) ).

cnf(c_372,plain,
    ( ~ axiom(or(not(or(X0,or(not(X1),X2))),X3))
    | ~ theorem(or(X0,or(not(X1),X2)))
    | theorem(X3) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_517,plain,
    ( ~ theorem(or(not(X0),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(or(X1,p)),X0))
    | theorem(or(not(or(X1,p)),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_576,plain,
    ( ~ axiom(or(not(or(not(X0),or(not(X1),X2))),or(not(X1),or(not(X0),X2))))
    | ~ theorem(or(not(X0),or(not(X1),X2)))
    | theorem(or(not(X1),or(not(X0),X2))) ),
    inference(instantiation,[status(thm)],[c_372]) ).

cnf(c_746,plain,
    ( ~ theorem(or(not(or(p,X0)),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(or(X0,p)),or(p,X0)))
    | theorem(or(not(or(X0,p)),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_517]) ).

cnf(c_747,plain,
    ( ~ theorem(or(not(or(p,q)),or(not(or(not(or(p,q)),q)),q)))
    | ~ axiom(or(not(or(q,p)),or(p,q)))
    | theorem(or(not(or(q,p)),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_746]) ).

cnf(c_856,plain,
    axiom(or(not(or(not(X0),or(not(X1),X2))),or(not(X1),or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_297]) ).

cnf(c_1093,plain,
    axiom(or(not(or(X0,p)),or(p,X0))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_1094,plain,
    axiom(or(not(or(q,p)),or(p,q))),
    inference(instantiation,[status(thm)],[c_1093]) ).

cnf(c_2608,plain,
    ( ~ axiom(or(not(or(not(or(not(or(p,q)),q)),or(not(or(p,X0)),q))),or(not(or(p,X0)),or(not(or(not(or(p,q)),q)),q))))
    | ~ theorem(or(not(or(not(or(p,q)),q)),or(not(or(p,X0)),q)))
    | theorem(or(not(or(p,X0)),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_2609,plain,
    ( ~ axiom(or(not(or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q))),or(not(or(p,q)),or(not(or(not(or(p,q)),q)),q))))
    | ~ theorem(or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q)))
    | theorem(or(not(or(p,q)),or(not(or(not(or(p,q)),q)),q))) ),
    inference(instantiation,[status(thm)],[c_2608]) ).

cnf(c_5616,plain,
    axiom(or(not(or(not(or(not(or(p,q)),q)),or(not(or(p,X0)),q))),or(not(or(p,X0)),or(not(or(not(or(p,q)),q)),q)))),
    inference(instantiation,[status(thm)],[c_856]) ).

cnf(c_5617,plain,
    axiom(or(not(or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q))),or(not(or(p,q)),or(not(or(not(or(p,q)),q)),q)))),
    inference(instantiation,[status(thm)],[c_5616]) ).

cnf(c_10135,plain,
    ( ~ axiom(or(not(or(not(q),q)),or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q))))
    | ~ theorem(or(not(q),q))
    | theorem(or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q))) ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_18383,plain,
    axiom(or(not(or(not(q),q)),or(not(or(not(or(p,q)),q)),or(not(or(p,q)),q)))),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_18384,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18383,c_10135,c_5617,c_2609,c_1094,c_747,c_364,c_326,c_287,c_227,c_126,c_93,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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 19:43:31 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.62/2.19  % SZS status Started for theBenchmark.p
% 9.62/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.62/2.19  
% 9.62/2.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.62/2.19  
% 9.62/2.19  ------  iProver source info
% 9.62/2.19  
% 9.62/2.19  git: date: 2024-05-02 19:28:25 +0000
% 9.62/2.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.62/2.19  git: non_committed_changes: false
% 9.62/2.19  
% 9.62/2.19  ------ Parsing...successful
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.62/2.19  
% 9.62/2.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.62/2.19  ------ Proving...
% 9.62/2.19  ------ Problem Properties 
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  clauses                                 9
% 9.62/2.19  conjectures                             1
% 9.62/2.19  EPR                                     1
% 9.62/2.19  Horn                                    9
% 9.62/2.19  unary                                   6
% 9.62/2.19  binary                                  1
% 9.62/2.19  lits                                    14
% 9.62/2.19  lits eq                                 0
% 9.62/2.19  fd_pure                                 0
% 9.62/2.19  fd_pseudo                               0
% 9.62/2.19  fd_cond                                 0
% 9.62/2.19  fd_pseudo_cond                          0
% 9.62/2.19  AC symbols                              0
% 9.62/2.19  
% 9.62/2.19  ------ Input Options Time Limit: Unbounded
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  ------ 
% 9.62/2.19  Current options:
% 9.62/2.19  ------ 
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  ------ Proving...
% 9.62/2.19  
% 9.62/2.19  
% 9.62/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.62/2.19  
% 9.62/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.62/2.19  
% 9.62/2.20  
%------------------------------------------------------------------------------