TSTP Solution File: LCL181-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL181-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 07:42:56 EDT 2023

% Result   : Satisfiable 137.31s 18.84s
% Output   : Saturation 137.31s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

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

cnf(c_52,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

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

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

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

cnf(c_96,plain,
    ( X0 != X1
    | ~ axiom(X1)
    | axiom(X0) ),
    theory(equality) ).

cnf(c_97,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_98,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_97]) ).

cnf(c_103,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_104,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_103]) ).

cnf(c_109,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_110,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_109]) ).

cnf(c_115,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_116,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_115]) ).

cnf(c_121,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_122,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_121]) ).

cnf(c_160,plain,
    X0_1 = X0_1,
    theory(equality) ).

cnf(c_277,plain,
    theorem(implies(implies(X0,not(X0)),not(X0))),
    inference(superposition,[status(thm)],[c_55,c_98]) ).

cnf(c_278,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_110]) ).

cnf(c_279,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_104]) ).

cnf(c_280,plain,
    theorem(implies(implies(X0,X1),or(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_110]) ).

cnf(c_282,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_278]) ).

cnf(c_293,plain,
    theorem(implies(or(X0,or(not(X1),X2)),implies(X1,or(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_116]) ).

cnf(c_294,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_116]) ).

cnf(c_295,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_294,c_55]) ).

cnf(c_296,plain,
    theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
    inference(demodulation,[status(thm)],[c_293,c_55]) ).

cnf(c_306,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_98,c_57]) ).

cnf(c_307,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_104,c_57]) ).

cnf(c_308,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_110,c_57]) ).

cnf(c_309,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_116,c_57]) ).

cnf(c_310,plain,
    ( ~ theorem(implies(X0,not(X0)))
    | theorem(not(X0)) ),
    inference(superposition,[status(thm)],[c_277,c_57]) ).

cnf(c_311,plain,
    ( ~ theorem(or(X0,not(X1)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_278,c_57]) ).

cnf(c_312,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_279,c_57]) ).

cnf(c_321,plain,
    ~ theorem(implies(not(q),p)),
    inference(superposition,[status(thm)],[c_312,c_49]) ).

cnf(c_324,plain,
    ~ theorem(p),
    inference(superposition,[status(thm)],[c_312,c_321]) ).

cnf(c_328,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_280,c_57]) ).

cnf(c_329,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_307,c_308]) ).

cnf(c_389,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_55,c_329]) ).

cnf(c_424,plain,
    ~ theorem(not(implies(not(p),q))),
    inference(superposition,[status(thm)],[c_389,c_49]) ).

cnf(c_425,plain,
    ( ~ theorem(not(X0))
    | ~ theorem(X0)
    | theorem(X1) ),
    inference(superposition,[status(thm)],[c_389,c_57]) ).

cnf(c_426,plain,
    ~ theorem(not(not(q))),
    inference(superposition,[status(thm)],[c_389,c_321]) ).

cnf(c_564,plain,
    theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_55,c_122]) ).

cnf(c_565,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_122,c_57]) ).

cnf(c_566,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_564,c_55]) ).

cnf(c_1342,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_282,c_57]) ).

cnf(c_3832,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_389,c_1342]) ).

cnf(c_3834,plain,
    theorem(implies(X0,not(implies(X0,not(X0))))),
    inference(superposition,[status(thm)],[c_277,c_1342]) ).

cnf(c_3835,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X0,not(X1))) ),
    inference(superposition,[status(thm)],[c_312,c_1342]) ).

cnf(c_5210,plain,
    ( ~ theorem(X0)
    | theorem(not(implies(X0,not(X0)))) ),
    inference(superposition,[status(thm)],[c_3834,c_57]) ).

cnf(c_11807,plain,
    ( ~ theorem(not(X0))
    | ~ theorem(X0)
    | theorem(not(X1)) ),
    inference(superposition,[status(thm)],[c_3835,c_57]) ).

cnf(c_14842,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_295,c_57]) ).

cnf(c_28709,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_329,c_309]) ).

cnf(c_32093,plain,
    ( ~ theorem(not(X0))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_389,c_14842]) ).

cnf(c_32990,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_55,c_28709]) ).

cnf(c_32993,plain,
    ( ~ theorem(X0)
    | theorem(or(or(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_28709,c_308]) ).

cnf(c_32994,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_28709,c_309]) ).

cnf(c_33930,plain,
    ( ~ theorem(not(X0))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_55,c_32990]) ).

cnf(c_33931,plain,
    ( ~ theorem(X0)
    | ~ theorem(X1)
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_32990,c_57]) ).

cnf(c_33932,plain,
    ( ~ theorem(X0)
    | theorem(or(X0,implies(X1,X2))) ),
    inference(superposition,[status(thm)],[c_32990,c_14842]) ).

cnf(c_35649,plain,
    ( ~ theorem(X0)
    | theorem(or(or(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_32994,c_308]) ).

cnf(c_37323,plain,
    ( ~ theorem(X0)
    | theorem(or(implies(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_33932,c_308]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL181-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 18:38:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 137.31/18.84  % SZS status Started for theBenchmark.p
% 137.31/18.84  % SZS status Satisfiable for theBenchmark.p
% 137.31/18.84  
% 137.31/18.84  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 137.31/18.84  
% 137.31/18.84  ------  iProver source info
% 137.31/18.84  
% 137.31/18.84  git: date: 2023-05-31 18:12:56 +0000
% 137.31/18.84  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 137.31/18.84  git: non_committed_changes: false
% 137.31/18.84  git: last_make_outside_of_git: false
% 137.31/18.84  
% 137.31/18.84  ------ Parsing...successful
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  ------ 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 
% 137.31/18.84  
% 137.31/18.84  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 137.31/18.84  
% 137.31/18.84  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 137.31/18.84  ------ Proving...
% 137.31/18.84  ------ Problem Properties 
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  clauses                                 8
% 137.31/18.84  conjectures                             1
% 137.31/18.84  EPR                                     0
% 137.31/18.84  Horn                                    8
% 137.31/18.84  unary                                   7
% 137.31/18.84  binary                                  0
% 137.31/18.84  lits                                    10
% 137.31/18.84  lits eq                                 1
% 137.31/18.84  fd_pure                                 0
% 137.31/18.84  fd_pseudo                               0
% 137.31/18.84  fd_cond                                 0
% 137.31/18.84  fd_pseudo_cond                          0
% 137.31/18.84  AC symbols                              0
% 137.31/18.84  
% 137.31/18.84  ------ Input Options Time Limit: Unbounded
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  ------ 
% 137.31/18.84  Current options:
% 137.31/18.84  ------ 
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  ------ Proving...
% 137.31/18.84  
% 137.31/18.84  
% 137.31/18.84  % SZS status Satisfiable for theBenchmark.p
% 137.31/18.84  
% 137.31/18.84  % SZS output start Saturation for theBenchmark.p
% See solution above
% 137.31/18.84  
% 137.31/18.85  
%------------------------------------------------------------------------------