TSTP Solution File: SWC057-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC057-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Mon Jun 24 16:22:12 EDT 2024

% Result   : Unsatisfiable 7.89s 1.73s
% Output   : CNFRefutation 7.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   51 (  16 unt;   6 nHn;  50 RR)
%            Number of literals    :  132 (  44 equ;  81 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (   2 sgn)

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

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

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_56,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

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

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

cnf(c_70,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_113,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_119,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_136,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_177,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_180,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(c_194,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(c_235,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_253,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_177]) ).

cnf(c_262,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_235]) ).

cnf(c_1634,plain,
    ( sk3 = nil
    | frontsegP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_1645,plain,
    ( sk2 = nil
    | frontsegP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_60,c_53]) ).

cnf(c_1652,plain,
    ( sk2 = nil
    | neq(sk3,nil) ),
    inference(light_normalisation,[status(thm)],[c_59,c_53]) ).

cnf(c_1663,plain,
    ( sk3 != nil
    | neq(sk2,nil) ),
    inference(light_normalisation,[status(thm)],[c_57,c_54]) ).

cnf(c_2114,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_56,c_54]) ).

cnf(c_3506,plain,
    ( X0 != sk2
    | X0 != nil
    | sk3 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_1663,c_253]) ).

cnf(c_3507,plain,
    ( sk2 != nil
    | sk3 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3506]) ).

cnf(c_3537,plain,
    ( X0 != sk3
    | nil != nil
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_2114,c_1652]) ).

cnf(c_3538,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ segmentP(sk3,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3537]) ).

cnf(c_3539,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk2,sk3)
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3538,c_51,c_3538]) ).

cnf(c_3540,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ segmentP(sk3,sk3)
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_3539]) ).

cnf(c_3642,plain,
    ( X0 != sk3
    | X0 != nil
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1652,c_253]) ).

cnf(c_3643,plain,
    ( sk3 != nil
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3642]) ).

cnf(c_3644,plain,
    sk3 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3643,c_51,c_50,c_3507,c_3643]) ).

cnf(c_3676,plain,
    frontsegP(sk2,sk3),
    inference(global_subsumption_just,[status(thm)],[c_1645,c_1634,c_3644]) ).

cnf(c_9559,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_9560,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_12165,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_119,c_3540]) ).

cnf(c_12166,plain,
    ( ~ segmentP(sk2,sk3)
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12165,c_9559]) ).

cnf(c_12425,plain,
    app(nil,sk3) = sk3,
    inference(superposition,[status(thm)],[c_9559,c_136]) ).

cnf(c_12577,plain,
    ( ~ ssList(app(app(nil,sk3),X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(superposition,[status(thm)],[c_12425,c_262]) ).

cnf(c_12579,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(light_normalisation,[status(thm)],[c_12577,c_12425]) ).

cnf(c_12580,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | segmentP(app(sk3,X0),sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12579,c_70,c_9559]) ).

cnf(c_15816,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk3)
    | app(sk3,skaf45(sk2,sk3)) = sk2 ),
    inference(superposition,[status(thm)],[c_3676,c_194]) ).

cnf(c_15843,plain,
    app(sk3,skaf45(sk2,sk3)) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_15816,c_9559,c_9560]) ).

cnf(c_16452,plain,
    ( sk2 != nil
    | ~ ssList(skaf45(sk2,sk3))
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_15843,c_180]) ).

cnf(c_16460,plain,
    ( ~ ssList(app(sk3,skaf45(sk2,sk3)))
    | ~ ssList(skaf45(sk2,sk3))
    | segmentP(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_15843,c_12580]) ).

cnf(c_16462,plain,
    ( ~ ssList(skaf45(sk2,sk3))
    | ~ ssList(sk2)
    | segmentP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_16460,c_15843]) ).

cnf(c_16463,plain,
    segmentP(sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_16462,c_9560,c_113]) ).

cnf(c_16464,plain,
    sk2 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_16452,c_3644,c_9559,c_113]) ).

cnf(c_16486,plain,
    sk2 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_12166,c_16463]) ).

cnf(c_16487,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16486,c_16464]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem  : SWC057-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.15  % Command  : run_iprover %s %d THM
% 0.15/0.37  % Computer : n018.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Jun 20 03:23:24 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.24/0.52  Running first-order theorem proving
% 0.24/0.52  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
% 7.89/1.73  % SZS status Started for theBenchmark.p
% 7.89/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.89/1.73  
% 7.89/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.89/1.73  
% 7.89/1.73  ------  iProver source info
% 7.89/1.73  
% 7.89/1.73  git: date: 2024-06-12 09:56:46 +0000
% 7.89/1.73  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.89/1.73  git: non_committed_changes: false
% 7.89/1.73  
% 7.89/1.73  ------ Parsing...successful
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  ------ Preprocessing... sup_sim: 10  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 
% 7.89/1.73  
% 7.89/1.73  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.89/1.73  
% 7.89/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.89/1.73  ------ Proving...
% 7.89/1.73  ------ Problem Properties 
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  clauses                                 186
% 7.89/1.73  conjectures                             4
% 7.89/1.73  EPR                                     61
% 7.89/1.73  Horn                                    157
% 7.89/1.73  unary                                   64
% 7.89/1.73  binary                                  21
% 7.89/1.73  lits                                    558
% 7.89/1.73  lits eq                                 76
% 7.89/1.73  fd_pure                                 0
% 7.89/1.73  fd_pseudo                               0
% 7.89/1.73  fd_cond                                 16
% 7.89/1.73  fd_pseudo_cond                          14
% 7.89/1.73  AC symbols                              0
% 7.89/1.73  
% 7.89/1.73  ------ Schedule dynamic 5 is on 
% 7.89/1.73  
% 7.89/1.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  ------ 
% 7.89/1.73  Current options:
% 7.89/1.73  ------ 
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  ------ Proving...
% 7.89/1.73  
% 7.89/1.73  
% 7.89/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.89/1.73  
% 7.89/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.89/1.73  
% 7.89/1.73  
%------------------------------------------------------------------------------