TSTP Solution File: SWC018-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC018-1 : 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 : Fri May  3 03:10:53 EDT 2024

% Result   : Unsatisfiable 3.77s 1.14s
% Output   : CNFRefutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   37 (  15 unt;   6 nHn;  37 RR)
%            Number of literals    :   97 (  34 equ;  59 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_59,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_61,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_71,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_124,plain,
    ( ~ ssList(X0)
    | frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).

cnf(c_147,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).

cnf(c_148,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_163,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_178,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_207,plain,
    ( app(X0,X1) != X2
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(c_254,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_178]) ).

cnf(c_258,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(unflattening,[status(thm)],[c_207]) ).

cnf(c_650,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_258,c_148]) ).

cnf(c_1591,plain,
    app(sk1,sk5) = sk2,
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_1658,plain,
    ( sk1 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_3521,plain,
    ( X0 != sk2
    | X0 != nil
    | sk1 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_254]) ).

cnf(c_3522,plain,
    ( sk1 != nil
    | sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3521]) ).

cnf(c_3523,plain,
    sk1 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3522,c_50,c_1658,c_3522]) ).

cnf(c_3562,plain,
    ( X0 != X1
    | X2 != nil
    | ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_61,c_163]) ).

cnf(c_3563,plain,
    ( ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3562]) ).

cnf(c_3565,plain,
    ( ~ ssList(X0)
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk1,X0)
    | X0 = nil
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3563,c_71,c_3563]) ).

cnf(c_3566,plain,
    ( ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0)
    | X0 = nil
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_3565]) ).

cnf(c_6581,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_6585,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_9192,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk5)
    | frontsegP(sk2,sk1) ),
    inference(superposition,[status(thm)],[c_1591,c_650]) ).

cnf(c_9193,plain,
    frontsegP(sk2,sk1),
    inference(forward_subsumption_resolution,[status(thm)],[c_9192,c_6581,c_6585]) ).

cnf(c_9227,plain,
    ( ~ frontsegP(sk2,sk1)
    | ~ ssList(sk1)
    | sk1 = nil
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_124,c_3566]) ).

cnf(c_9228,plain,
    sk2 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_9227,c_3523,c_6585,c_9193]) ).

cnf(c_9229,plain,
    frontsegP(nil,sk1),
    inference(demodulation,[status(thm)],[c_9193,c_9228]) ).

cnf(c_9757,plain,
    ( ~ ssList(sk1)
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_9229,c_147]) ).

cnf(c_9758,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9757,c_3523,c_6585]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC018-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n012.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 23:13:25 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  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
% 3.77/1.14  % SZS status Started for theBenchmark.p
% 3.77/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.14  
% 3.77/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.77/1.14  
% 3.77/1.14  ------  iProver source info
% 3.77/1.14  
% 3.77/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.77/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.77/1.14  git: non_committed_changes: false
% 3.77/1.14  
% 3.77/1.14  ------ Parsing...successful
% 3.77/1.14  
% 3.77/1.14  
% 3.77/1.14  
% 3.77/1.14  ------ Preprocessing... sup_sim: 8  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 
% 3.77/1.14  
% 3.77/1.14  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.77/1.14  
% 3.77/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.77/1.14  ------ Proving...
% 3.77/1.14  ------ Problem Properties 
% 3.77/1.14  
% 3.77/1.14  
% 3.77/1.14  clauses                                 188
% 3.77/1.14  conjectures                             5
% 3.77/1.14  EPR                                     61
% 3.77/1.14  Horn                                    159
% 3.77/1.14  unary                                   66
% 3.77/1.14  binary                                  21
% 3.77/1.14  lits                                    562
% 3.77/1.14  lits eq                                 78
% 3.77/1.14  fd_pure                                 0
% 3.77/1.15  fd_pseudo                               0
% 3.77/1.15  fd_cond                                 16
% 3.77/1.15  fd_pseudo_cond                          14
% 3.77/1.15  AC symbols                              0
% 3.77/1.15  
% 3.77/1.15  ------ Schedule dynamic 5 is on 
% 3.77/1.15  
% 3.77/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.15  
% 3.77/1.15  
% 3.77/1.15  ------ 
% 3.77/1.15  Current options:
% 3.77/1.15  ------ 
% 3.77/1.15  
% 3.77/1.15  
% 3.77/1.15  
% 3.77/1.15  
% 3.77/1.15  ------ Proving...
% 3.77/1.15  
% 3.77/1.15  
% 3.77/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.15  
% 3.77/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.15  
% 3.77/1.15  
%------------------------------------------------------------------------------