TSTP Solution File: LCL239-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL239-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:37:25 EDT 2024

% Result   : Unsatisfiable 4.39s 1.15s
% Output   : CNFRefutation 4.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   33 (  21 unt;   0 nHn;  15 RR)
%            Number of literals    :   46 (   7 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   61 (   4 sgn)

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

cnf(c_50,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).

cnf(c_51,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_52,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_53,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_54,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_56,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_57,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_58,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_101,plain,
    not(implies(X0,not(X1))) = and(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_56]) ).

cnf(c_112,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_57]) ).

cnf(c_113,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_112]) ).

cnf(c_118,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_57]) ).

cnf(c_119,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_118]) ).

cnf(c_124,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).

cnf(c_125,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_124]) ).

cnf(c_130,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).

cnf(c_131,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_130]) ).

cnf(c_331,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_125]) ).

cnf(c_340,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_56,c_131]) ).

cnf(c_351,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_113,c_58]) ).

cnf(c_484,plain,
    ( ~ theorem(or(X0,not(X1)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_331,c_58]) ).

cnf(c_625,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_340,c_56]) ).

cnf(c_632,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_625,c_58]) ).

cnf(c_1263,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_56,c_484]) ).

cnf(c_5064,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_119,c_632]) ).

cnf(c_5554,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_5064,c_351]) ).

cnf(c_5599,plain,
    theorem(implies(X0,not(not(X0)))),
    inference(superposition,[status(thm)],[c_5554,c_1263]) ).

cnf(c_5756,plain,
    ( ~ theorem(X0)
    | theorem(not(not(X0))) ),
    inference(superposition,[status(thm)],[c_5599,c_58]) ).

cnf(c_5840,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(not(and(X0,X1))) ),
    inference(superposition,[status(thm)],[c_101,c_5756]) ).

cnf(c_5889,plain,
    theorem(not(and(X0,not(X0)))),
    inference(superposition,[status(thm)],[c_5599,c_5840]) ).

cnf(c_5951,plain,
    theorem(not(and(p,not(p)))),
    inference(instantiation,[status(thm)],[c_5889]) ).

cnf(c_5952,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_5951,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL239-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 19:17:59 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.39/1.15  % SZS status Started for theBenchmark.p
% 4.39/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.39/1.15  
% 4.39/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.39/1.15  
% 4.39/1.15  ------  iProver source info
% 4.39/1.15  
% 4.39/1.15  git: date: 2024-05-02 19:28:25 +0000
% 4.39/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.39/1.15  git: non_committed_changes: false
% 4.39/1.15  
% 4.39/1.15  ------ Parsing...successful
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 4.39/1.15  
% 4.39/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.39/1.15  
% 4.39/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.39/1.15  ------ Proving...
% 4.39/1.15  ------ Problem Properties 
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  clauses                                 12
% 4.39/1.15  conjectures                             1
% 4.39/1.15  EPR                                     1
% 4.39/1.15  Horn                                    12
% 4.39/1.15  unary                                   11
% 4.39/1.15  binary                                  0
% 4.39/1.15  lits                                    14
% 4.39/1.15  lits eq                                 5
% 4.39/1.15  fd_pure                                 0
% 4.39/1.15  fd_pseudo                               0
% 4.39/1.15  fd_cond                                 0
% 4.39/1.15  fd_pseudo_cond                          0
% 4.39/1.15  AC symbols                              0
% 4.39/1.15  
% 4.39/1.15  ------ Schedule dynamic 5 is on 
% 4.39/1.15  
% 4.39/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  ------ 
% 4.39/1.15  Current options:
% 4.39/1.15  ------ 
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  ------ Proving...
% 4.39/1.15  
% 4.39/1.15  
% 4.39/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.39/1.15  
% 4.39/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.39/1.15  
% 4.39/1.15  
%------------------------------------------------------------------------------