TSTP Solution File: LCL203-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL203-3 : 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 07:43:07 EDT 2023

% Result   : Unsatisfiable 14.68s 2.69s
% Output   : CNFRefutation 14.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   45 (  27 unt;   0 nHn;  19 RR)
%            Number of literals    :   67 (   6 equ;  25 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;   2 con; 0-2 aty)
%            Number of variables   :   98 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(not(or(p,q)),or(not(p),not(q)))),
    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_92,plain,
    ~ theorem(implies(not(or(p,q)),implies(p,not(q)))),
    inference(demodulation,[status(thm)],[c_49,c_55]) ).

cnf(c_101,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_102,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_101]) ).

cnf(c_107,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_108,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_107]) ).

cnf(c_113,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_114,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_113]) ).

cnf(c_119,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_120,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_119]) ).

cnf(c_125,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_126,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_125]) ).

cnf(c_8216,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_114]) ).

cnf(c_8217,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_108]) ).

cnf(c_8222,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_120]) ).

cnf(c_8223,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_8222,c_55]) ).

cnf(c_8231,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_8216]) ).

cnf(c_8234,plain,
    theorem(implies(implies(X0,or(not(X1),X2)),implies(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_8223]) ).

cnf(c_8235,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_8234,c_55]) ).

cnf(c_8244,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_102,c_57]) ).

cnf(c_8248,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_126,c_57]) ).

cnf(c_8251,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_8217,c_57]) ).

cnf(c_8253,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_8231,c_57]) ).

cnf(c_8254,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_8223,c_57]) ).

cnf(c_8257,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_8235,c_57]) ).

cnf(c_8280,plain,
    ( ~ theorem(or(X0,X1))
    | ~ theorem(implies(X1,X2))
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_8248,c_57]) ).

cnf(c_8326,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_108,c_8254]) ).

cnf(c_8355,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(X0,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_8251,c_8257]) ).

cnf(c_8372,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(implies(X1,X2))
    | theorem(or(not(X0),X2)) ),
    inference(superposition,[status(thm)],[c_55,c_8280]) ).

cnf(c_8373,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(implies(X1,X2))
    | theorem(implies(X0,X2)) ),
    inference(demodulation,[status(thm)],[c_8372,c_55]) ).

cnf(c_8400,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_8326,c_8244]) ).

cnf(c_8425,plain,
    theorem(implies(X0,not(not(X0)))),
    inference(superposition,[status(thm)],[c_8400,c_8253]) ).

cnf(c_8545,plain,
    ~ theorem(implies(not(or(p,q)),not(q))),
    inference(superposition,[status(thm)],[c_8355,c_92]) ).

cnf(c_8692,plain,
    ( ~ theorem(implies(or(X0,X1),X2))
    | theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_108,c_8373]) ).

cnf(c_14617,plain,
    theorem(implies(X0,not(not(or(X1,X0))))),
    inference(superposition,[status(thm)],[c_8425,c_8692]) ).

cnf(c_19772,plain,
    theorem(implies(not(or(X0,X1)),not(X1))),
    inference(superposition,[status(thm)],[c_14617,c_8253]) ).

cnf(c_22794,plain,
    $false,
    inference(superposition,[status(thm)],[c_19772,c_8545]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL203-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 04:25:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.68/2.69  % SZS status Started for theBenchmark.p
% 14.68/2.69  % SZS status Unsatisfiable for theBenchmark.p
% 14.68/2.69  
% 14.68/2.69  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.68/2.69  
% 14.68/2.69  ------  iProver source info
% 14.68/2.69  
% 14.68/2.69  git: date: 2023-05-31 18:12:56 +0000
% 14.68/2.69  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.68/2.69  git: non_committed_changes: false
% 14.68/2.69  git: last_make_outside_of_git: false
% 14.68/2.69  
% 14.68/2.69  ------ Parsing...successful
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  ------ 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 
% 14.68/2.69  
% 14.68/2.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 14.68/2.69  
% 14.68/2.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 14.68/2.69  ------ Proving...
% 14.68/2.69  ------ Problem Properties 
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  clauses                                 8
% 14.68/2.69  conjectures                             0
% 14.68/2.69  EPR                                     0
% 14.68/2.69  Horn                                    8
% 14.68/2.69  unary                                   7
% 14.68/2.69  binary                                  0
% 14.68/2.69  lits                                    10
% 14.68/2.69  lits eq                                 1
% 14.68/2.69  fd_pure                                 0
% 14.68/2.69  fd_pseudo                               0
% 14.68/2.69  fd_cond                                 0
% 14.68/2.69  fd_pseudo_cond                          0
% 14.68/2.69  AC symbols                              0
% 14.68/2.69  
% 14.68/2.69  ------ Input Options Time Limit: Unbounded
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  ------ 
% 14.68/2.69  Current options:
% 14.68/2.69  ------ 
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  ------ Proving...
% 14.68/2.69  
% 14.68/2.69  
% 14.68/2.69  % SZS status Unsatisfiable for theBenchmark.p
% 14.68/2.69  
% 14.68/2.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.68/2.69  
% 14.68/2.69  
%------------------------------------------------------------------------------