TSTP Solution File: SWC205-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 : Fri May  3 03:11:34 EDT 2024

% Result   : Unsatisfiable 1.89s 1.15s
% Output   : CNFRefutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  14 unt;   1 nHn;  26 RR)
%            Number of literals    :   47 (  21 equ;  31 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_66,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_158,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_173,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_249,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_173]) ).

cnf(c_390,plain,
    ( sk4 = nil
    | sk3 != nil ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

cnf(c_391,plain,
    ( sk3 != nil
    | sk4 = nil ),
    inference(renaming,[status(thm)],[c_390]) ).

cnf(c_434,plain,
    ( ~ ssList(X0)
    | ~ neq(X0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_249]) ).

cnf(c_435,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_1852,plain,
    ~ neq(sk3,nil),
    inference(demodulation,[status(thm)],[c_56,c_54]) ).

cnf(c_1854,plain,
    neq(sk4,nil),
    inference(demodulation,[status(thm)],[c_55,c_53]) ).

cnf(c_2916,plain,
    ( X0 != nil
    | X1 != sk3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_158,c_1852]) ).

cnf(c_2917,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3 ),
    inference(unflattening,[status(thm)],[c_2916]) ).

cnf(c_2918,plain,
    nil = sk3,
    inference(global_subsumption_just,[status(thm)],[c_2917,c_51,c_66,c_2917]) ).

cnf(c_2923,plain,
    ( X0 != sk4
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_435,c_1854]) ).

cnf(c_2924,plain,
    ( sk4 != nil
    | ~ ssList(sk4) ),
    inference(unflattening,[status(thm)],[c_2923]) ).

cnf(c_2925,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2924,c_52,c_2924]) ).

cnf(c_2940,plain,
    sk3 != nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_391,c_2925]) ).

cnf(c_4856,plain,
    nil != nil,
    inference(demodulation,[status(thm)],[c_2940,c_2918]) ).

cnf(c_4857,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_4856]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 23:23:49 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.89/1.15  % SZS status Started for theBenchmark.p
% 1.89/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.15  
% 1.89/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.89/1.15  
% 1.89/1.15  ------  iProver source info
% 1.89/1.15  
% 1.89/1.15  git: date: 2024-05-02 19:28:25 +0000
% 1.89/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.89/1.15  git: non_committed_changes: false
% 1.89/1.15  
% 1.89/1.15  ------ Parsing...successful
% 1.89/1.15  
% 1.89/1.15  
% 1.89/1.15  
% 1.89/1.15  ------ Preprocessing... sup_sim: 6  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 1.89/1.15  
% 1.89/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.15  
% 1.89/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.15  
% 1.89/1.15  
%------------------------------------------------------------------------------