TSTP Solution File: SWC198-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 20:41:37 EDT 2023

% Result   : Unsatisfiable 42.28s 6.79s
% Output   : CNFRefutation 42.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   41 (   8 unt;  24 nHn;  41 RR)
%            Number of literals    :  105 (  51 equ;  42 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    ( ~ ssItem(X0)
    | ssItem(sk5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ ssItem(X0)
    | memberP(sk1,sk5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk5(X0) != X0
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_63,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(c_73,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_74,plain,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).

cnf(c_136,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_226,plain,
    ( ~ memberP(cons(X0,X1),X2)
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | ~ ssItem(X2)
    | X0 = X2
    | memberP(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).

cnf(c_1678,plain,
    ( cons(sk6,nil) = sk1
    | sk2 = nil ),
    inference(demodulation,[status(thm)],[c_60,c_53,c_54]) ).

cnf(c_1693,plain,
    ( sk2 = nil
    | ssItem(sk6) ),
    inference(demodulation,[status(thm)],[c_58,c_53]) ).

cnf(c_1724,plain,
    ( sk1 = nil
    | ssItem(sk6) ),
    inference(demodulation,[status(thm)],[c_59,c_54]) ).

cnf(c_1769,plain,
    ( cons(sk6,nil) = sk1
    | sk1 = nil ),
    inference(demodulation,[status(thm)],[c_63,c_54]) ).

cnf(c_1956,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk1 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1769,c_226]) ).

cnf(c_1957,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk2 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1678,c_226]) ).

cnf(c_1959,plain,
    ( sk2 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1957,c_73,c_136,c_1693,c_1957]) ).

cnf(c_1960,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_1959]) ).

cnf(c_1967,plain,
    ( sk1 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1956,c_73,c_136,c_1724,c_1956]) ).

cnf(c_1968,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk1 = nil ),
    inference(renaming,[status(thm)],[c_1967]) ).

cnf(c_2005,plain,
    ( ~ ssItem(sk5(X0))
    | ~ ssItem(X0)
    | sk5(X0) = sk6
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_56,c_1960]) ).

cnf(c_2007,plain,
    ( ~ ssItem(X0)
    | sk5(X0) = sk6
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2005,c_55,c_2005]) ).

cnf(c_2018,plain,
    ( sk5(sk6) = sk6
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_1693,c_2007]) ).

cnf(c_2032,plain,
    ( ~ ssItem(sk6)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_2018,c_57]) ).

cnf(c_2035,plain,
    sk2 = nil,
    inference(global_subsumption_just,[status(thm)],[c_2032,c_1693,c_2032]) ).

cnf(c_2040,plain,
    ( ~ memberP(sk2,X0)
    | ~ ssItem(X0) ),
    inference(superposition,[status(thm)],[c_2035,c_136]) ).

cnf(c_2084,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk1 = sk2 ),
    inference(demodulation,[status(thm)],[c_1968,c_2035]) ).

cnf(c_2086,plain,
    ( ~ ssItem(sk5(X0))
    | ~ ssItem(X0)
    | sk5(X0) = sk6
    | sk1 = sk2 ),
    inference(superposition,[status(thm)],[c_56,c_2084]) ).

cnf(c_2088,plain,
    ( ~ ssItem(X0)
    | sk5(X0) = sk6
    | sk1 = sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_2086,c_55,c_2086]) ).

cnf(c_2121,plain,
    ( sk5(sk6) = sk6
    | sk1 = sk2
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_1724,c_2088]) ).

cnf(c_2125,plain,
    ( sk5(sk6) = sk6
    | sk1 = sk2 ),
    inference(light_normalisation,[status(thm)],[c_2121,c_2035]) ).

cnf(c_2137,plain,
    ( ~ ssItem(sk6)
    | sk1 = sk2 ),
    inference(superposition,[status(thm)],[c_2125,c_57]) ).

cnf(c_2146,plain,
    ( sk1 = sk2
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_1724,c_2137]) ).

cnf(c_2149,plain,
    sk1 = sk2,
    inference(light_normalisation,[status(thm)],[c_2146,c_2035]) ).

cnf(c_2170,plain,
    ( ~ ssItem(X0)
    | memberP(sk2,sk5(X0)) ),
    inference(superposition,[status(thm)],[c_2149,c_56]) ).

cnf(c_2253,plain,
    ( ~ ssItem(sk5(X0))
    | ~ ssItem(X0) ),
    inference(superposition,[status(thm)],[c_2170,c_2040]) ).

cnf(c_2255,plain,
    ~ ssItem(X0),
    inference(global_subsumption_just,[status(thm)],[c_2253,c_55,c_2253]) ).

cnf(c_2261,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_74,c_2255]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 18:17:24 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 42.28/6.79  % SZS status Started for theBenchmark.p
% 42.28/6.79  % SZS status Unsatisfiable for theBenchmark.p
% 42.28/6.79  
% 42.28/6.79  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 42.28/6.79  
% 42.28/6.79  ------  iProver source info
% 42.28/6.79  
% 42.28/6.79  git: date: 2023-05-31 18:12:56 +0000
% 42.28/6.79  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 42.28/6.79  git: non_committed_changes: false
% 42.28/6.79  git: last_make_outside_of_git: false
% 42.28/6.79  
% 42.28/6.79  ------ Parsing...successful
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 42.28/6.79  
% 42.28/6.79  ------ Preprocessing...
% 42.28/6.79  
% 42.28/6.79  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 42.28/6.79  ------ Proving...
% 42.28/6.79  ------ Problem Properties 
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  clauses                                 198
% 42.28/6.79  conjectures                             17
% 42.28/6.79  EPR                                     66
% 42.28/6.79  Horn                                    160
% 42.28/6.79  unary                                   60
% 42.28/6.79  binary                                  34
% 42.28/6.79  lits                                    595
% 42.28/6.79  lits eq                                 86
% 42.28/6.79  fd_pure                                 0
% 42.28/6.79  fd_pseudo                               0
% 42.28/6.79  fd_cond                                 17
% 42.28/6.79  fd_pseudo_cond                          16
% 42.28/6.79  AC symbols                              0
% 42.28/6.79  
% 42.28/6.79  ------ Input Options Time Limit: Unbounded
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  ------ 
% 42.28/6.79  Current options:
% 42.28/6.79  ------ 
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  ------ Proving...
% 42.28/6.79  
% 42.28/6.79  
% 42.28/6.79  % SZS status Unsatisfiable for theBenchmark.p
% 42.28/6.79  
% 42.28/6.79  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.28/6.79  
% 42.28/6.79  
%------------------------------------------------------------------------------