TSTP Solution File: LCL220-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL220-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 07:43:17 EDT 2023

% Result   : Satisfiable 146.99s 20.32s
% Output   : Saturation 146.99s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(implies(implies(p,q),q),implies(implies(q,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_54,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

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_95,plain,
    ( X0 != X1
    | ~ axiom(X1)
    | axiom(X0) ),
    theory(equality) ).

cnf(c_96,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_97,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_96]) ).

cnf(c_102,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_103,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_102]) ).

cnf(c_108,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_109,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_108]) ).

cnf(c_114,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_115,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_114]) ).

cnf(c_120,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).

cnf(c_121,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_120]) ).

cnf(c_158,plain,
    X0_1 = X0_1,
    theory(equality) ).

cnf(c_265,plain,
    theorem(implies(implies(X0,not(X0)),not(X0))),
    inference(superposition,[status(thm)],[c_55,c_97]) ).

cnf(c_266,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_109]) ).

cnf(c_267,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_103]) ).

cnf(c_268,plain,
    theorem(implies(implies(X0,X1),or(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_109]) ).

cnf(c_270,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_266]) ).

cnf(c_281,plain,
    theorem(implies(or(X0,or(not(X1),X2)),implies(X1,or(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_115]) ).

cnf(c_282,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_115]) ).

cnf(c_283,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_282,c_55]) ).

cnf(c_284,plain,
    theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
    inference(demodulation,[status(thm)],[c_281,c_55]) ).

cnf(c_294,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_97,c_57]) ).

cnf(c_295,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_103,c_57]) ).

cnf(c_296,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_109,c_57]) ).

cnf(c_297,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_115,c_57]) ).

cnf(c_298,plain,
    ( ~ theorem(implies(X0,not(X0)))
    | theorem(not(X0)) ),
    inference(superposition,[status(thm)],[c_265,c_57]) ).

cnf(c_299,plain,
    ( ~ theorem(or(X0,not(X1)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_266,c_57]) ).

cnf(c_300,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_267,c_57]) ).

cnf(c_309,plain,
    ~ theorem(implies(implies(q,p),p)),
    inference(superposition,[status(thm)],[c_300,c_49]) ).

cnf(c_312,plain,
    ~ theorem(p),
    inference(superposition,[status(thm)],[c_300,c_309]) ).

cnf(c_316,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_268,c_57]) ).

cnf(c_317,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_295,c_296]) ).

cnf(c_377,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_55,c_317]) ).

cnf(c_418,plain,
    ~ theorem(not(implies(implies(p,q),q))),
    inference(superposition,[status(thm)],[c_377,c_49]) ).

cnf(c_419,plain,
    ( ~ theorem(not(X0))
    | ~ theorem(X0)
    | theorem(X1) ),
    inference(superposition,[status(thm)],[c_377,c_57]) ).

cnf(c_420,plain,
    ~ theorem(not(implies(q,p))),
    inference(superposition,[status(thm)],[c_377,c_309]) ).

cnf(c_552,plain,
    theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_55,c_121]) ).

cnf(c_553,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_121,c_57]) ).

cnf(c_554,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_552,c_55]) ).

cnf(c_1335,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_270,c_57]) ).

cnf(c_3796,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_377,c_1335]) ).

cnf(c_3798,plain,
    theorem(implies(X0,not(implies(X0,not(X0))))),
    inference(superposition,[status(thm)],[c_265,c_1335]) ).

cnf(c_3799,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X0,not(X1))) ),
    inference(superposition,[status(thm)],[c_300,c_1335]) ).

cnf(c_5310,plain,
    ( ~ theorem(X0)
    | theorem(not(implies(X0,not(X0)))) ),
    inference(superposition,[status(thm)],[c_3798,c_57]) ).

cnf(c_11923,plain,
    ( ~ theorem(not(X0))
    | ~ theorem(X0)
    | theorem(not(X1)) ),
    inference(superposition,[status(thm)],[c_3799,c_57]) ).

cnf(c_15114,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_283,c_57]) ).

cnf(c_27160,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_317,c_297]) ).

cnf(c_30381,plain,
    ( ~ theorem(not(X0))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_377,c_15114]) ).

cnf(c_31925,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_55,c_27160]) ).

cnf(c_31928,plain,
    ( ~ theorem(X0)
    | theorem(or(or(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_27160,c_296]) ).

cnf(c_31929,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_27160,c_297]) ).

cnf(c_33758,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_55,c_31925]) ).

cnf(c_33759,plain,
    ( ~ theorem(X0)
    | ~ theorem(X1)
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_31925,c_57]) ).

cnf(c_33760,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,implies(X1,X2))) ),
    inference(superposition,[status(thm)],[c_31925,c_15114]) ).

cnf(c_35975,plain,
    ( ~ theorem(X0)
    | theorem(or(or(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_31929,c_296]) ).

cnf(c_37224,plain,
    ( ~ theorem(X0)
    | theorem(or(implies(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_33760,c_296]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL220-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 23:35:55 EDT 2023
% 0.13/0.35  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 146.99/20.32  % SZS status Started for theBenchmark.p
% 146.99/20.32  % SZS status Satisfiable for theBenchmark.p
% 146.99/20.32  
% 146.99/20.32  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 146.99/20.32  
% 146.99/20.32  ------  iProver source info
% 146.99/20.32  
% 146.99/20.32  git: date: 2023-05-31 18:12:56 +0000
% 146.99/20.32  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 146.99/20.32  git: non_committed_changes: false
% 146.99/20.32  git: last_make_outside_of_git: false
% 146.99/20.32  
% 146.99/20.32  ------ Parsing...successful
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  ------ 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 
% 146.99/20.32  
% 146.99/20.32  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 146.99/20.32  
% 146.99/20.32  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 146.99/20.32  ------ Proving...
% 146.99/20.32  ------ Problem Properties 
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  clauses                                 8
% 146.99/20.32  conjectures                             1
% 146.99/20.32  EPR                                     0
% 146.99/20.32  Horn                                    8
% 146.99/20.32  unary                                   7
% 146.99/20.32  binary                                  0
% 146.99/20.32  lits                                    10
% 146.99/20.32  lits eq                                 1
% 146.99/20.32  fd_pure                                 0
% 146.99/20.32  fd_pseudo                               0
% 146.99/20.32  fd_cond                                 0
% 146.99/20.32  fd_pseudo_cond                          0
% 146.99/20.32  AC symbols                              0
% 146.99/20.32  
% 146.99/20.32  ------ Input Options Time Limit: Unbounded
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  ------ 
% 146.99/20.32  Current options:
% 146.99/20.32  ------ 
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  ------ Proving...
% 146.99/20.32  
% 146.99/20.32  
% 146.99/20.32  % SZS status Satisfiable for theBenchmark.p
% 146.99/20.32  
% 146.99/20.32  % SZS output start Saturation for theBenchmark.p
% See solution above
% 146.99/20.32  
% 146.99/20.32  
%------------------------------------------------------------------------------