TSTP Solution File: LCL176-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 07:42:53 EDT 2023

% Result   : Unsatisfiable 2.81s 1.18s
% Output   : CNFRefutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   34 (  14 unt;   0 nHn;  15 RR)
%            Number of literals    :   56 (   5 equ;  23 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    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   71 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(p,p)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_51,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_52,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_53,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_55,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_56,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_57,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_104,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_105,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_104]) ).

cnf(c_110,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_111,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_110]) ).

cnf(c_112,plain,
    theorem(implies(p,or(p,p))),
    inference(instantiation,[status(thm)],[c_111]) ).

cnf(c_116,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_117,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_116]) ).

cnf(c_122,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).

cnf(c_123,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_122]) ).

cnf(c_282,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_123]) ).

cnf(c_293,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_105,c_57]) ).

cnf(c_294,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_111,c_57]) ).

cnf(c_296,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_123,c_57]) ).

cnf(c_451,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_282,c_55]) ).

cnf(c_454,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_451,c_57]) ).

cnf(c_457,plain,
    ( ~ theorem(implies(p,or(p,p)))
    | theorem(or(p,implies(p,p))) ),
    inference(instantiation,[status(thm)],[c_454]) ).

cnf(c_503,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_294,c_296]) ).

cnf(c_608,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_55,c_503]) ).

cnf(c_621,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(light_normalisation,[status(thm)],[c_608,c_55]) ).

cnf(c_781,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(or(X2,X1)) ),
    inference(superposition,[status(thm)],[c_621,c_57]) ).

cnf(c_865,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X2,or(X1,X0))) ),
    inference(superposition,[status(thm)],[c_117,c_781]) ).

cnf(c_1378,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,or(X2,X0))) ),
    inference(superposition,[status(thm)],[c_865,c_296]) ).

cnf(c_1574,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_55,c_1378]) ).

cnf(c_1666,plain,
    ( ~ theorem(or(X0,implies(X1,X0)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1574,c_293]) ).

cnf(c_1684,plain,
    ( ~ theorem(or(p,implies(p,p)))
    | theorem(implies(p,p)) ),
    inference(instantiation,[status(thm)],[c_1666]) ).

cnf(c_1685,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1684,c_457,c_112,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 04:50:32 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.81/1.18  % SZS status Started for theBenchmark.p
% 2.81/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.81/1.18  
% 2.81/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.81/1.18  
% 2.81/1.18  ------  iProver source info
% 2.81/1.18  
% 2.81/1.18  git: date: 2023-05-31 18:12:56 +0000
% 2.81/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.81/1.18  git: non_committed_changes: false
% 2.81/1.18  git: last_make_outside_of_git: false
% 2.81/1.18  
% 2.81/1.18  ------ Parsing...successful
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  ------ Preprocessing... sup_sim: 0  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 
% 2.81/1.18  
% 2.81/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.81/1.18  
% 2.81/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.81/1.18  ------ Proving...
% 2.81/1.18  ------ Problem Properties 
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  clauses                                 8
% 2.81/1.18  conjectures                             1
% 2.81/1.18  EPR                                     0
% 2.81/1.18  Horn                                    8
% 2.81/1.18  unary                                   7
% 2.81/1.18  binary                                  0
% 2.81/1.18  lits                                    10
% 2.81/1.18  lits eq                                 1
% 2.81/1.18  fd_pure                                 0
% 2.81/1.18  fd_pseudo                               0
% 2.81/1.18  fd_cond                                 0
% 2.81/1.18  fd_pseudo_cond                          0
% 2.81/1.18  AC symbols                              0
% 2.81/1.18  
% 2.81/1.18  ------ Schedule dynamic 5 is on 
% 2.81/1.18  
% 2.81/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  ------ 
% 2.81/1.18  Current options:
% 2.81/1.18  ------ 
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  ------ Proving...
% 2.81/1.18  
% 2.81/1.18  
% 2.81/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.81/1.18  
% 2.81/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.81/1.18  
% 2.81/1.18  
%------------------------------------------------------------------------------