TSTP Solution File: LCL218-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 07:43:15 EDT 2023

% Result   : Unsatisfiable 3.70s 1.16s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   39 (  18 unt;   0 nHn;  29 RR)
%            Number of literals    :   77 (   0 equ;  39 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   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   :   52 (   2 sgn)

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

cnf(c_51,plain,
    axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(c_52,plain,
    axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

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

cnf(c_56,plain,
    ( ~ axiom(or(not(X0),X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(c_218,plain,
    ( ~ axiom(or(not(or(X0,X1)),or(X1,X0)))
    | theorem(or(not(or(X0,X1)),or(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_221,plain,
    ( ~ axiom(or(not(or(not(or(p,q)),q)),X0))
    | ~ theorem(or(not(X0),or(not(p),q)))
    | theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_223,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_241,plain,
    axiom(or(not(or(not(X0),X1)),or(X1,not(X0)))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_244,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_223]) ).

cnf(c_245,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_280,plain,
    axiom(or(not(or(not(or(p,q)),q)),or(q,not(or(p,q))))),
    inference(instantiation,[status(thm)],[c_241]) ).

cnf(c_281,plain,
    ( ~ axiom(or(not(or(not(or(p,q)),q)),or(q,not(or(p,q)))))
    | ~ theorem(or(not(or(q,not(or(p,q)))),or(not(p),q)))
    | theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_322,plain,
    ( ~ axiom(or(not(or(not(p),or(not(or(q,not(or(p,q)))),q))),or(not(or(q,not(or(p,q)))),or(not(p),q))))
    | ~ theorem(or(not(p),or(not(or(q,not(or(p,q)))),q)))
    | theorem(or(not(or(q,not(or(p,q)))),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_244]) ).

cnf(c_362,plain,
    axiom(or(not(or(X0,not(X1))),or(not(X1),X0))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_453,plain,
    axiom(or(not(p),or(X0,p))),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_455,plain,
    axiom(or(not(p),or(q,p))),
    inference(instantiation,[status(thm)],[c_453]) ).

cnf(c_467,plain,
    ( ~ theorem(or(not(X0),or(not(or(q,not(or(p,q)))),q)))
    | ~ axiom(or(not(p),X0))
    | theorem(or(not(p),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_499,plain,
    axiom(or(not(or(not(X0),or(not(or(p,q)),q))),or(not(or(p,q)),or(not(X0),q)))),
    inference(instantiation,[status(thm)],[c_245]) ).

cnf(c_806,plain,
    ( ~ theorem(or(not(X0),or(not(X1),X2)))
    | ~ axiom(or(not(X3),X0))
    | theorem(or(not(X3),or(not(X1),X2))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_814,plain,
    ( ~ axiom(or(not(or(X0,not(X1))),or(not(X1),X0)))
    | theorem(or(not(or(X0,not(X1))),or(not(X1),X0))) ),
    inference(instantiation,[status(thm)],[c_218]) ).

cnf(c_833,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_244]) ).

cnf(c_1032,plain,
    ( ~ theorem(or(not(or(X0,p)),or(not(or(q,not(or(p,q)))),q)))
    | ~ axiom(or(not(p),or(X0,p)))
    | theorem(or(not(p),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_467]) ).

cnf(c_1033,plain,
    ( ~ theorem(or(not(or(q,p)),or(not(or(q,not(or(p,q)))),q)))
    | ~ axiom(or(not(p),or(q,p)))
    | theorem(or(not(p),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_1032]) ).

cnf(c_1517,plain,
    ( ~ theorem(or(not(or(X0,X1)),or(not(X2),X3)))
    | ~ axiom(or(not(or(X1,X0)),or(X0,X1)))
    | theorem(or(not(or(X1,X0)),or(not(X2),X3))) ),
    inference(instantiation,[status(thm)],[c_806]) ).

cnf(c_1737,plain,
    ( ~ axiom(or(not(or(not(or(X0,not(X1))),or(not(X1),X0))),or(not(X1),or(not(or(X0,not(X1))),X0))))
    | ~ theorem(or(not(or(X0,not(X1))),or(not(X1),X0)))
    | theorem(or(not(X1),or(not(or(X0,not(X1))),X0))) ),
    inference(instantiation,[status(thm)],[c_833]) ).

cnf(c_2389,plain,
    axiom(or(not(or(not(p),or(X0,X1))),or(X0,or(not(p),X1)))),
    inference(instantiation,[status(thm)],[c_245]) ).

cnf(c_2930,plain,
    axiom(or(not(or(X0,p)),or(p,X0))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_2932,plain,
    axiom(or(not(or(q,p)),or(p,q))),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_3342,plain,
    axiom(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q))),
    inference(instantiation,[status(thm)],[c_362]) ).

cnf(c_3468,plain,
    ( ~ axiom(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q)))
    | theorem(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q))) ),
    inference(instantiation,[status(thm)],[c_814]) ).

cnf(c_4735,plain,
    ( ~ theorem(or(not(or(p,X0)),or(not(or(q,not(or(p,q)))),q)))
    | ~ axiom(or(not(or(X0,p)),or(p,X0)))
    | theorem(or(not(or(X0,p)),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_1517]) ).

cnf(c_4736,plain,
    ( ~ theorem(or(not(or(p,q)),or(not(or(q,not(or(p,q)))),q)))
    | ~ axiom(or(not(or(q,p)),or(p,q)))
    | theorem(or(not(or(q,p)),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_4735]) ).

cnf(c_5436,plain,
    ( ~ axiom(or(not(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q))),or(not(or(p,q)),or(not(or(q,not(or(p,q)))),q))))
    | ~ theorem(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q)))
    | theorem(or(not(or(p,q)),or(not(or(q,not(or(p,q)))),q))) ),
    inference(instantiation,[status(thm)],[c_1737]) ).

cnf(c_5437,plain,
    axiom(or(not(or(not(or(q,not(or(p,q)))),or(not(or(p,q)),q))),or(not(or(p,q)),or(not(or(q,not(or(p,q)))),q)))),
    inference(instantiation,[status(thm)],[c_499]) ).

cnf(c_10600,plain,
    axiom(or(not(or(not(p),or(not(or(q,not(or(p,q)))),q))),or(not(or(q,not(or(p,q)))),or(not(p),q)))),
    inference(instantiation,[status(thm)],[c_2389]) ).

cnf(c_10601,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10600,c_5437,c_5436,c_4736,c_3468,c_3342,c_2932,c_1033,c_455,c_322,c_281,c_280,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL218-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 04:09:08 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.70/1.16  % SZS status Started for theBenchmark.p
% 3.70/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.16  
% 3.70/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.70/1.16  
% 3.70/1.16  ------  iProver source info
% 3.70/1.16  
% 3.70/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.70/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.70/1.16  git: non_committed_changes: false
% 3.70/1.16  git: last_make_outside_of_git: false
% 3.70/1.16  
% 3.70/1.16  ------ Parsing...successful
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.70/1.16  
% 3.70/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.70/1.16  ------ Proving...
% 3.70/1.16  ------ Problem Properties 
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  clauses                                 9
% 3.70/1.16  conjectures                             1
% 3.70/1.16  EPR                                     1
% 3.70/1.16  Horn                                    9
% 3.70/1.16  unary                                   6
% 3.70/1.16  binary                                  1
% 3.70/1.16  lits                                    14
% 3.70/1.16  lits eq                                 0
% 3.70/1.16  fd_pure                                 0
% 3.70/1.16  fd_pseudo                               0
% 3.70/1.16  fd_cond                                 0
% 3.70/1.16  fd_pseudo_cond                          0
% 3.70/1.16  AC symbols                              0
% 3.70/1.16  
% 3.70/1.16  ------ Schedule dynamic 5 is on 
% 3.70/1.16  
% 3.70/1.16  ------ no equalities: superposition off 
% 3.70/1.16  
% 3.70/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  ------ 
% 3.70/1.16  Current options:
% 3.70/1.16  ------ 
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  ------ Proving...
% 3.70/1.16  
% 3.70/1.16  
% 3.70/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.16  
% 3.70/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.16  
% 3.70/1.17  
%------------------------------------------------------------------------------