TSTP Solution File: SWC058-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC058-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 03:11:04 EDT 2024

% Result   : Unsatisfiable 8.18s 1.65s
% Output   : CNFRefutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   50 (  15 unt;   6 nHn;  49 RR)
%            Number of literals    :  131 (  43 equ;  82 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   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/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

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

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

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

cnf(c_112,plain,
    ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

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

cnf(c_135,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

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

cnf(c_181,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X1 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

cnf(c_193,plain,
    ( ~ rearsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(c_235,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/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
    | rearsegP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_1643,plain,
    ( sk2 = nil
    | rearsegP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_60,c_53]) ).

cnf(c_1648,plain,
    ( sk2 = nil
    | neq(sk3,nil) ),
    inference(light_normalisation,[status(thm)],[c_59,c_53]) ).

cnf(c_1657,plain,
    ( sk3 != nil
    | neq(sk2,nil) ),
    inference(light_normalisation,[status(thm)],[c_57,c_54]) ).

cnf(c_2106,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_3488,plain,
    ( X0 != sk2
    | X0 != nil
    | sk3 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_1657,c_253]) ).

cnf(c_3489,plain,
    ( sk2 != nil
    | sk3 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3488]) ).

cnf(c_3519,plain,
    ( X0 != sk3
    | nil != nil
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_2106,c_1648]) ).

cnf(c_3520,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ segmentP(sk3,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3519]) ).

cnf(c_3521,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk2,sk3)
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3520,c_51,c_3520]) ).

cnf(c_3522,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ segmentP(sk3,sk3)
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_3521]) ).

cnf(c_3624,plain,
    ( X0 != sk3
    | X0 != nil
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1648,c_253]) ).

cnf(c_3625,plain,
    ( sk3 != nil
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3624]) ).

cnf(c_3626,plain,
    sk3 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3625,c_51,c_50,c_3489,c_3625]) ).

cnf(c_3658,plain,
    rearsegP(sk2,sk3),
    inference(global_subsumption_just,[status(thm)],[c_1643,c_1634,c_3626]) ).

cnf(c_9541,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_9542,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_12147,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_119,c_3522]) ).

cnf(c_12148,plain,
    ( ~ segmentP(sk2,sk3)
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12147,c_9541]) ).

cnf(c_12345,plain,
    app(sk2,nil) = sk2,
    inference(superposition,[status(thm)],[c_9542,c_135]) ).

cnf(c_15519,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk3)
    | app(skaf46(sk2,sk3),sk3) = sk2 ),
    inference(superposition,[status(thm)],[c_3658,c_193]) ).

cnf(c_15546,plain,
    app(skaf46(sk2,sk3),sk3) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_15519,c_9541,c_9542]) ).

cnf(c_15980,plain,
    ( sk2 != nil
    | ~ ssList(skaf46(sk2,sk3))
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_15546,c_181]) ).

cnf(c_15984,plain,
    ( ~ ssList(app(app(skaf46(sk2,sk3),sk3),X0))
    | ~ ssList(skaf46(sk2,sk3))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | segmentP(app(sk2,X0),sk3) ),
    inference(superposition,[status(thm)],[c_15546,c_262]) ).

cnf(c_15986,plain,
    sk2 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_15980,c_3626,c_9541,c_112]) ).

cnf(c_15987,plain,
    ( ~ ssList(app(sk2,X0))
    | ~ ssList(skaf46(sk2,sk3))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | segmentP(app(sk2,X0),sk3) ),
    inference(light_normalisation,[status(thm)],[c_15984,c_15546]) ).

cnf(c_15988,plain,
    ( ~ ssList(app(sk2,X0))
    | ~ ssList(X0)
    | segmentP(app(sk2,X0),sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15987,c_9541,c_112]) ).

cnf(c_15999,plain,
    ~ segmentP(sk2,sk3),
    inference(backward_subsumption_resolution,[status(thm)],[c_12148,c_15986]) ).

cnf(c_20029,plain,
    ( ~ ssList(app(sk2,nil))
    | ~ ssList(nil)
    | segmentP(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_12345,c_15988]) ).

cnf(c_20033,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | segmentP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_20029,c_12345]) ).

cnf(c_20034,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_20033,c_15999,c_70,c_9542]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC058-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n016.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 : Fri May  3 00:04:45 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.18/1.65  % SZS status Started for theBenchmark.p
% 8.18/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.65  
% 8.18/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.18/1.65  
% 8.18/1.65  ------  iProver source info
% 8.18/1.65  
% 8.18/1.65  git: date: 2024-05-02 19:28:25 +0000
% 8.18/1.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.18/1.65  git: non_committed_changes: false
% 8.18/1.65  
% 8.18/1.65  ------ Parsing...successful
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  ------ 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 
% 8.18/1.65  
% 8.18/1.65  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.18/1.65  
% 8.18/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.18/1.65  ------ Proving...
% 8.18/1.65  ------ Problem Properties 
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  clauses                                 186
% 8.18/1.65  conjectures                             4
% 8.18/1.65  EPR                                     61
% 8.18/1.65  Horn                                    157
% 8.18/1.65  unary                                   64
% 8.18/1.65  binary                                  21
% 8.18/1.65  lits                                    558
% 8.18/1.65  lits eq                                 76
% 8.18/1.65  fd_pure                                 0
% 8.18/1.65  fd_pseudo                               0
% 8.18/1.65  fd_cond                                 16
% 8.18/1.65  fd_pseudo_cond                          14
% 8.18/1.65  AC symbols                              0
% 8.18/1.65  
% 8.18/1.65  ------ Schedule dynamic 5 is on 
% 8.18/1.65  
% 8.18/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  ------ 
% 8.18/1.65  Current options:
% 8.18/1.65  ------ 
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  ------ Proving...
% 8.18/1.65  
% 8.18/1.65  
% 8.18/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.65  
% 8.18/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.18/1.65  
% 8.18/1.66  
%------------------------------------------------------------------------------