TSTP Solution File: LCL208-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL208-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 07:43:10 EDT 2023

% Result   : Unsatisfiable 24.53s 4.23s
% Output   : CNFRefutation 24.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   51 (  20 unt;   0 nHn;  36 RR)
%            Number of literals    :  100 (   0 equ;  50 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   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   :   86 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(or(not(or(p,q)),or(not(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_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_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_230,plain,
    axiom(or(not(or(p,q)),or(q,p))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_245,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_246,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_274,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_332,plain,
    ( ~ axiom(or(not(or(not(not(p)),or(not(X0),q))),or(not(X0),or(not(not(p)),q))))
    | ~ theorem(or(not(not(p)),or(not(X0),q)))
    | theorem(or(not(X0),or(not(not(p)),q))) ),
    inference(instantiation,[status(thm)],[c_245]) ).

cnf(c_333,plain,
    ( ~ axiom(or(not(or(not(not(p)),or(not(p),q))),or(not(p),or(not(not(p)),q))))
    | ~ theorem(or(not(not(p)),or(not(p),q)))
    | theorem(or(not(p),or(not(not(p)),q))) ),
    inference(instantiation,[status(thm)],[c_332]) ).

cnf(c_350,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_50,c_56]) ).

cnf(c_351,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_51,c_56]) ).

cnf(c_353,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_388,plain,
    axiom(or(not(or(X0,not(X1))),or(not(X1),X0))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_406,plain,
    ( ~ axiom(or(not(or(X0,or(not(X1),X2))),or(or(not(X1),X2),X0)))
    | ~ theorem(or(X0,or(not(X1),X2)))
    | theorem(or(or(not(X1),X2),X0)) ),
    inference(instantiation,[status(thm)],[c_274]) ).

cnf(c_422,plain,
    axiom(or(not(not(p)),or(X0,not(p)))),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_426,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_539,plain,
    ( ~ theorem(or(not(X0),or(not(X1),q)))
    | ~ axiom(or(not(not(p)),X0))
    | theorem(or(not(not(p)),or(not(X1),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_738,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_909,plain,
    ( ~ theorem(or(not(or(X0,not(p))),or(not(X1),q)))
    | ~ axiom(or(not(not(p)),or(X0,not(p))))
    | theorem(or(not(not(p)),or(not(X1),q))) ),
    inference(instantiation,[status(thm)],[c_539]) ).

cnf(c_942,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_351,c_353]) ).

cnf(c_1675,plain,
    ( ~ theorem(or(not(or(q,not(p))),or(not(p),q)))
    | ~ axiom(or(not(not(p)),or(q,not(p))))
    | theorem(or(not(not(p)),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_909]) ).

cnf(c_1676,plain,
    ( ~ axiom(or(not(or(q,not(p))),or(not(p),q)))
    | theorem(or(not(or(q,not(p))),or(not(p),q))) ),
    inference(instantiation,[status(thm)],[c_738]) ).

cnf(c_1802,plain,
    ( ~ axiom(or(not(X0),or(X1,X2)))
    | ~ theorem(or(not(X2),X3))
    | theorem(or(not(X0),or(X1,X3))) ),
    inference(superposition,[status(thm)],[c_426,c_57]) ).

cnf(c_2260,plain,
    ( ~ theorem(or(or(X0,X1),X1))
    | theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_942,c_350]) ).

cnf(c_2614,plain,
    ( ~ theorem(or(or(X0,or(X1,X2)),X2))
    | theorem(or(X0,or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_942,c_2260]) ).

cnf(c_2926,plain,
    axiom(or(not(or(not(X0),or(not(X1),X2))),or(not(X1),or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_246]) ).

cnf(c_4523,plain,
    axiom(or(not(not(p)),or(q,not(p)))),
    inference(instantiation,[status(thm)],[c_422]) ).

cnf(c_4525,plain,
    axiom(or(not(or(q,not(p))),or(not(p),q))),
    inference(instantiation,[status(thm)],[c_388]) ).

cnf(c_7155,plain,
    axiom(or(not(or(not(not(p)),or(not(X0),q))),or(not(X0),or(not(not(p)),q)))),
    inference(instantiation,[status(thm)],[c_2926]) ).

cnf(c_7156,plain,
    axiom(or(not(or(not(not(p)),or(not(p),q))),or(not(p),or(not(not(p)),q)))),
    inference(instantiation,[status(thm)],[c_7155]) ).

cnf(c_22947,plain,
    ( ~ axiom(or(not(or(q,or(not(or(p,q)),or(not(not(p)),q)))),or(or(not(or(p,q)),or(not(not(p)),q)),q)))
    | ~ theorem(or(q,or(not(or(p,q)),or(not(not(p)),q))))
    | theorem(or(or(not(or(p,q)),or(not(not(p)),q)),q)) ),
    inference(instantiation,[status(thm)],[c_406]) ).

cnf(c_61639,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_62037,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_61639]) ).

cnf(c_62038,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_62227,plain,
    axiom(or(not(or(X0,or(not(X1),X2))),or(or(not(X1),X2),X0))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_64417,plain,
    ( ~ theorem(or(or(not(X0),or(X1,X2)),X2))
    | theorem(or(not(X0),or(X1,X2))) ),
    inference(instantiation,[status(thm)],[c_2614]) ).

cnf(c_67510,plain,
    ( ~ theorem(or(or(not(or(p,q)),or(not(not(p)),q)),q))
    | theorem(or(not(or(p,q)),or(not(not(p)),q))) ),
    inference(instantiation,[status(thm)],[c_64417]) ).

cnf(c_101182,plain,
    ( ~ axiom(or(not(or(not(or(p,q)),or(q,or(not(not(p)),q)))),or(q,or(not(or(p,q)),or(not(not(p)),q)))))
    | ~ theorem(or(not(or(p,q)),or(q,or(not(not(p)),q))))
    | theorem(or(q,or(not(or(p,q)),or(not(not(p)),q)))) ),
    inference(instantiation,[status(thm)],[c_62037]) ).

cnf(c_113275,plain,
    ( ~ theorem(or(not(X0),or(not(not(p)),q)))
    | ~ axiom(or(not(or(p,q)),or(q,X0)))
    | theorem(or(not(or(p,q)),or(q,or(not(not(p)),q)))) ),
    inference(instantiation,[status(thm)],[c_1802]) ).

cnf(c_113276,plain,
    ( ~ theorem(or(not(p),or(not(not(p)),q)))
    | ~ axiom(or(not(or(p,q)),or(q,p)))
    | theorem(or(not(or(p,q)),or(q,or(not(not(p)),q)))) ),
    inference(instantiation,[status(thm)],[c_113275]) ).

cnf(c_113656,plain,
    axiom(or(not(or(not(or(p,q)),or(q,or(not(not(p)),q)))),or(q,or(not(or(p,q)),or(not(not(p)),q))))),
    inference(instantiation,[status(thm)],[c_62038]) ).

cnf(c_115951,plain,
    axiom(or(not(or(q,or(not(or(p,q)),or(not(not(p)),q)))),or(or(not(or(p,q)),or(not(not(p)),q)),q))),
    inference(instantiation,[status(thm)],[c_62227]) ).

cnf(c_115952,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_115951,c_113656,c_113276,c_101182,c_67510,c_22947,c_7156,c_4525,c_4523,c_1676,c_1675,c_333,c_230,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL208-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 17:28:51 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.53/4.23  % SZS status Started for theBenchmark.p
% 24.53/4.23  % SZS status Unsatisfiable for theBenchmark.p
% 24.53/4.23  
% 24.53/4.23  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.53/4.23  
% 24.53/4.23  ------  iProver source info
% 24.53/4.23  
% 24.53/4.23  git: date: 2023-05-31 18:12:56 +0000
% 24.53/4.23  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.53/4.23  git: non_committed_changes: false
% 24.53/4.23  git: last_make_outside_of_git: false
% 24.53/4.23  
% 24.53/4.23  ------ Parsing...successful
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 24.53/4.23  
% 24.53/4.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 24.53/4.23  ------ Proving...
% 24.53/4.23  ------ Problem Properties 
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  clauses                                 9
% 24.53/4.23  conjectures                             1
% 24.53/4.23  EPR                                     1
% 24.53/4.23  Horn                                    9
% 24.53/4.23  unary                                   6
% 24.53/4.23  binary                                  1
% 24.53/4.23  lits                                    14
% 24.53/4.23  lits eq                                 0
% 24.53/4.23  fd_pure                                 0
% 24.53/4.23  fd_pseudo                               0
% 24.53/4.23  fd_cond                                 0
% 24.53/4.23  fd_pseudo_cond                          0
% 24.53/4.23  AC symbols                              0
% 24.53/4.23  
% 24.53/4.23  ------ Schedule dynamic 5 is on 
% 24.53/4.23  
% 24.53/4.23  ------ no equalities: superposition off 
% 24.53/4.23  
% 24.53/4.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  ------ 
% 24.53/4.23  Current options:
% 24.53/4.23  ------ 
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  ------ Proving...
% 24.53/4.23  
% 24.53/4.23  
% 24.53/4.23  % SZS status Unsatisfiable for theBenchmark.p
% 24.53/4.23  
% 24.53/4.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.53/4.23  
% 24.53/4.23  
%------------------------------------------------------------------------------