TSTP Solution File: SWC071-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 20:40:46 EDT 2023

% Result   : Unsatisfiable 2.43s 1.18s
% Output   : CNFRefutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   52 (  21 unt;  11 nHn;  52 RR)
%            Number of literals    :  121 (  37 equ;  64 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   24 (   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(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( sk1 != nil
    | sk2 != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk4 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( sk4 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | sk4 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_65,negated_conjecture,
    ( sk3 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( sk3 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(c_68,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | sk3 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

cnf(c_78,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_127,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_141,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_170,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_208,plain,
    ( X0 != X1
    | ~ ssList(X2)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).

cnf(c_243,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(c_267,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | memberP(cons(X1,X0),X1) ),
    inference(unflattening,[status(thm)],[c_208]) ).

cnf(c_270,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(unflattening,[status(thm)],[c_243]) ).

cnf(c_1763,plain,
    ( sk3 != nil
    | sk4 != nil ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_2006,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_2856,plain,
    ( X0 != X1
    | X2 != nil
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_2006,c_170]) ).

cnf(c_2857,plain,
    ( ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(unflattening,[status(thm)],[c_2856]) ).

cnf(c_2859,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sk4,X0)
    | ~ segmentP(sk3,X0)
    | X0 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2857,c_78,c_2857]) ).

cnf(c_2860,plain,
    ( ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(renaming,[status(thm)],[c_2859]) ).

cnf(c_3603,negated_conjecture,
    app(app(sk6,sk3),sk7) = sk4,
    inference(global_subsumption_just,[status(thm)],[c_68,c_68,c_62,c_1763]) ).

cnf(c_3605,negated_conjecture,
    cons(sk5,nil) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_67,c_67,c_61,c_1763]) ).

cnf(c_3607,negated_conjecture,
    ssList(sk7),
    inference(global_subsumption_just,[status(thm)],[c_66,c_66,c_60,c_1763]) ).

cnf(c_3609,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_65,c_65,c_59,c_1763]) ).

cnf(c_3615,negated_conjecture,
    app(app(sk6,sk3),sk7) = sk4,
    inference(global_subsumption_just,[status(thm)],[c_62,c_3603]) ).

cnf(c_3617,negated_conjecture,
    cons(sk5,nil) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_61,c_3605]) ).

cnf(c_3619,negated_conjecture,
    ssList(sk7),
    inference(global_subsumption_just,[status(thm)],[c_60,c_3607]) ).

cnf(c_3621,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_59,c_3609]) ).

cnf(c_3623,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_58,c_58,c_57,c_1763]) ).

cnf(c_3625,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_57,c_3623]) ).

cnf(c_12105,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | memberP(sk3,sk5) ),
    inference(superposition,[status(thm)],[c_3617,c_267]) ).

cnf(c_12106,plain,
    memberP(sk3,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_12105,c_3625,c_78]) ).

cnf(c_12140,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_3615,c_270]) ).

cnf(c_12148,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3) ),
    inference(light_normalisation,[status(thm)],[c_12140,c_3615]) ).

cnf(c_12149,plain,
    segmentP(sk4,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_12148,c_3619,c_3621,c_52,c_51]) ).

cnf(c_12158,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_12149,c_2860]) ).

cnf(c_12159,plain,
    ( ~ segmentP(sk3,sk3)
    | sk3 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12158,c_51]) ).

cnf(c_12199,plain,
    ( ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_127,c_12159]) ).

cnf(c_12200,plain,
    sk3 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_12199,c_51]) ).

cnf(c_12208,plain,
    memberP(nil,sk5),
    inference(demodulation,[status(thm)],[c_12106,c_12200]) ).

cnf(c_12311,plain,
    ~ ssItem(sk5),
    inference(superposition,[status(thm)],[c_12208,c_141]) ).

cnf(c_12312,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12311,c_3625]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 18:12:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.43/1.18  % SZS status Started for theBenchmark.p
% 2.43/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.18  
% 2.43/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.43/1.18  
% 2.43/1.18  ------  iProver source info
% 2.43/1.18  
% 2.43/1.18  git: date: 2023-05-31 18:12:56 +0000
% 2.43/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.43/1.18  git: non_committed_changes: false
% 2.43/1.18  git: last_make_outside_of_git: false
% 2.43/1.18  
% 2.43/1.18  ------ Parsing...successful
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  ------ Preprocessing... sup_sim: 6  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  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.43/1.18  
% 2.43/1.18  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.43/1.18  
% 2.43/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.43/1.18  ------ Proving...
% 2.43/1.18  ------ Problem Properties 
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  clauses                                 190
% 2.43/1.18  conjectures                             11
% 2.43/1.18  EPR                                     63
% 2.43/1.18  Horn                                    162
% 2.43/1.18  unary                                   67
% 2.43/1.18  binary                                  22
% 2.43/1.18  lits                                    562
% 2.43/1.18  lits eq                                 76
% 2.43/1.18  fd_pure                                 0
% 2.43/1.18  fd_pseudo                               0
% 2.43/1.18  fd_cond                                 16
% 2.43/1.18  fd_pseudo_cond                          14
% 2.43/1.18  AC symbols                              0
% 2.43/1.18  
% 2.43/1.18  ------ Schedule dynamic 5 is on 
% 2.43/1.18  
% 2.43/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  ------ 
% 2.43/1.18  Current options:
% 2.43/1.18  ------ 
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  ------ Proving...
% 2.43/1.18  
% 2.43/1.18  
% 2.43/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.18  
% 2.43/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.18  
% 2.43/1.18  
%------------------------------------------------------------------------------