TSTP Solution File: LCL215-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL215-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 9.06s 2.17s
% Output   : CNFRefutation 9.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   31 (  15 unt;   0 nHn;  24 RR)
%            Number of literals    :   62 (   0 equ;  32 neg)
%            Maximal clause size   :    3 (   2 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   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(or(not(or(not(p),q)),or(not(or(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_93,plain,
    theorem(or(not(or(q,q)),q)),
    inference(instantiation,[status(thm)],[c_92]) ).

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

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

cnf(c_232,plain,
    ( ~ axiom(or(not(or(not(X0),X1)),X2))
    | ~ theorem(or(not(X0),X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_235,plain,
    ( ~ axiom(or(not(or(not(or(p,q)),or(not(or(not(p),q)),q))),or(not(or(not(p),q)),or(not(or(p,q)),q))))
    | ~ theorem(or(not(or(p,q)),or(not(or(not(p),q)),q)))
    | theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_237,plain,
    axiom(or(not(or(not(p),q)),or(not(or(X0,p)),or(X0,q)))),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_238,plain,
    axiom(or(not(or(not(p),q)),or(not(or(q,p)),or(q,q)))),
    inference(instantiation,[status(thm)],[c_237]) ).

cnf(c_259,plain,
    ( ~ theorem(or(not(X0),or(not(or(not(p),q)),q)))
    | ~ axiom(or(not(or(p,q)),X0))
    | theorem(or(not(or(p,q)),or(not(or(not(p),q)),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_272,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_232]) ).

cnf(c_274,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_232]) ).

cnf(c_316,plain,
    ( ~ theorem(or(not(or(q,p)),or(not(or(not(p),q)),q)))
    | ~ axiom(or(not(or(p,q)),or(q,p)))
    | theorem(or(not(or(p,q)),or(not(or(not(p),q)),q))) ),
    inference(instantiation,[status(thm)],[c_259]) ).

cnf(c_333,plain,
    axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_355,plain,
    axiom(or(not(or(p,q)),or(q,p))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_387,plain,
    axiom(or(not(or(not(or(p,q)),or(not(or(not(p),q)),q))),or(not(or(not(p),q)),or(not(or(p,q)),q)))),
    inference(instantiation,[status(thm)],[c_333]) ).

cnf(c_490,plain,
    ( ~ axiom(or(not(or(not(or(not(p),q)),or(not(or(q,p)),q))),or(not(or(q,p)),or(not(or(not(p),q)),q))))
    | ~ theorem(or(not(or(not(p),q)),or(not(or(q,p)),q)))
    | theorem(or(not(or(q,p)),or(not(or(not(p),q)),q))) ),
    inference(instantiation,[status(thm)],[c_272]) ).

cnf(c_569,plain,
    axiom(or(not(or(not(or(not(p),q)),or(not(or(q,p)),q))),or(not(or(q,p)),or(not(or(not(p),q)),q)))),
    inference(instantiation,[status(thm)],[c_333]) ).

cnf(c_890,plain,
    ( ~ theorem(or(not(X0),or(not(or(q,p)),q)))
    | ~ axiom(or(not(or(not(p),q)),X0))
    | theorem(or(not(or(not(p),q)),or(not(or(q,p)),q))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1863,plain,
    ( ~ theorem(or(not(or(not(or(X0,p)),or(X0,q))),or(not(or(q,p)),q)))
    | ~ axiom(or(not(or(not(p),q)),or(not(or(X0,p)),or(X0,q))))
    | theorem(or(not(or(not(p),q)),or(not(or(q,p)),q))) ),
    inference(instantiation,[status(thm)],[c_890]) ).

cnf(c_1864,plain,
    ( ~ theorem(or(not(or(not(or(q,p)),or(q,q))),or(not(or(q,p)),q)))
    | ~ axiom(or(not(or(not(p),q)),or(not(or(q,p)),or(q,q))))
    | theorem(or(not(or(not(p),q)),or(not(or(q,p)),q))) ),
    inference(instantiation,[status(thm)],[c_1863]) ).

cnf(c_8054,plain,
    ( ~ axiom(or(not(or(not(or(q,q)),q)),or(not(or(not(or(q,p)),or(q,q))),or(not(or(q,p)),q))))
    | ~ theorem(or(not(or(q,q)),q))
    | theorem(or(not(or(not(or(q,p)),or(q,q))),or(not(or(q,p)),q))) ),
    inference(instantiation,[status(thm)],[c_274]) ).

cnf(c_14594,plain,
    axiom(or(not(or(not(or(q,q)),q)),or(not(or(not(or(q,p)),or(q,q))),or(not(or(q,p)),q)))),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_14595,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14594,c_8054,c_1864,c_569,c_490,c_387,c_355,c_316,c_238,c_235,c_93,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL215-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 19:36:33 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 9.06/2.17  % SZS status Started for theBenchmark.p
% 9.06/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.06/2.17  
% 9.06/2.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.06/2.17  
% 9.06/2.17  ------  iProver source info
% 9.06/2.17  
% 9.06/2.17  git: date: 2024-05-02 19:28:25 +0000
% 9.06/2.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.06/2.17  git: non_committed_changes: false
% 9.06/2.17  
% 9.06/2.17  ------ Parsing...successful
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.06/2.17  
% 9.06/2.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.06/2.17  ------ Proving...
% 9.06/2.17  ------ Problem Properties 
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  clauses                                 9
% 9.06/2.17  conjectures                             1
% 9.06/2.17  EPR                                     1
% 9.06/2.17  Horn                                    9
% 9.06/2.17  unary                                   6
% 9.06/2.17  binary                                  1
% 9.06/2.17  lits                                    14
% 9.06/2.17  lits eq                                 0
% 9.06/2.17  fd_pure                                 0
% 9.06/2.17  fd_pseudo                               0
% 9.06/2.17  fd_cond                                 0
% 9.06/2.17  fd_pseudo_cond                          0
% 9.06/2.17  AC symbols                              0
% 9.06/2.17  
% 9.06/2.17  ------ Input Options Time Limit: Unbounded
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  ------ 
% 9.06/2.17  Current options:
% 9.06/2.17  ------ 
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  ------ Proving...
% 9.06/2.17  
% 9.06/2.17  
% 9.06/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.06/2.17  
% 9.06/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.06/2.17  
% 9.06/2.17  
%------------------------------------------------------------------------------