TSTP Solution File: SWC070-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC070-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 03:11:06 EDT 2024

% Result   : Unsatisfiable 7.66s 1.53s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   44 (  15 unt;   4 nHn;  43 RR)
%            Number of literals    :  113 (  31 equ;  75 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   :   24 (   2 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
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

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

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

cnf(c_68,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_111,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_117,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_134,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_175,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_192,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_233,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_251,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_175]) ).

cnf(c_260,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_233]) ).

cnf(c_1677,plain,
    ( sk3 != nil
    | sk4 != nil ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_1880,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_2835,plain,
    ( X0 != sk3
    | nil != nil
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | sk3 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1880,c_59]) ).

cnf(c_2836,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(unflattening,[status(thm)],[c_2835]) ).

cnf(c_2848,plain,
    ( X0 != sk3
    | nil != nil
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | sk4 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1880,c_57]) ).

cnf(c_2849,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_2848]) ).

cnf(c_2850,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(global_subsumption_just,[status(thm)],[c_2849,c_51,c_1677,c_2836,c_2849]) ).

cnf(c_2900,plain,
    ( X0 != sk3
    | X0 != nil
    | ~ ssList(X0)
    | sk4 = nil ),
    inference(resolution_lifted,[status(thm)],[c_57,c_251]) ).

cnf(c_2901,plain,
    ( sk3 != nil
    | ~ ssList(sk3)
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_2900]) ).

cnf(c_2902,plain,
    sk3 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2901,c_51,c_1677,c_2901]) ).

cnf(c_3511,negated_conjecture,
    frontsegP(sk4,sk3),
    inference(global_subsumption_just,[status(thm)],[c_58,c_60,c_2902]) ).

cnf(c_9352,negated_conjecture,
    frontsegP(sk4,sk3),
    inference(demodulation,[status(thm)],[c_3511]) ).

cnf(c_9355,negated_conjecture,
    ssList(sk4),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_9356,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_11932,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ ssList(sk3) ),
    inference(superposition,[status(thm)],[c_117,c_2850]) ).

cnf(c_11933,plain,
    ~ segmentP(sk4,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_11932,c_9356]) ).

cnf(c_12191,plain,
    app(nil,sk3) = sk3,
    inference(superposition,[status(thm)],[c_9356,c_134]) ).

cnf(c_12334,plain,
    ( ~ ssList(app(app(nil,sk3),X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(superposition,[status(thm)],[c_12191,c_260]) ).

cnf(c_12336,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(app(sk3,X0),sk3) ),
    inference(light_normalisation,[status(thm)],[c_12334,c_12191]) ).

cnf(c_12337,plain,
    ( ~ ssList(app(sk3,X0))
    | ~ ssList(X0)
    | segmentP(app(sk3,X0),sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12336,c_68,c_9356]) ).

cnf(c_15570,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | app(sk3,skaf45(sk4,sk3)) = sk4 ),
    inference(superposition,[status(thm)],[c_9352,c_192]) ).

cnf(c_15604,plain,
    app(sk3,skaf45(sk4,sk3)) = sk4,
    inference(forward_subsumption_resolution,[status(thm)],[c_15570,c_9355,c_9356]) ).

cnf(c_16252,plain,
    ( ~ ssList(app(sk3,skaf45(sk4,sk3)))
    | ~ ssList(skaf45(sk4,sk3))
    | segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_15604,c_12337]) ).

cnf(c_16254,plain,
    ( ~ ssList(skaf45(sk4,sk3))
    | ~ ssList(sk4)
    | segmentP(sk4,sk3) ),
    inference(light_normalisation,[status(thm)],[c_16252,c_15604]) ).

cnf(c_16255,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16254,c_11933,c_9355,c_111]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : SWC070-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.07  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n005.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 23:17:26 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.10/0.33  Running first-order theorem proving
% 0.10/0.33  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
% 7.66/1.53  % SZS status Started for theBenchmark.p
% 7.66/1.53  % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.53  
% 7.66/1.53  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.53  
% 7.66/1.53  ------  iProver source info
% 7.66/1.53  
% 7.66/1.53  git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.53  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.53  git: non_committed_changes: false
% 7.66/1.53  
% 7.66/1.53  ------ Parsing...successful
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  ------ 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 
% 7.66/1.53  
% 7.66/1.53  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.66/1.53  
% 7.66/1.53  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.66/1.53  ------ Proving...
% 7.66/1.53  ------ Problem Properties 
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  clauses                                 185
% 7.66/1.53  conjectures                             5
% 7.66/1.53  EPR                                     60
% 7.66/1.53  Horn                                    157
% 7.66/1.53  unary                                   64
% 7.66/1.53  binary                                  22
% 7.66/1.53  lits                                    553
% 7.66/1.53  lits eq                                 73
% 7.66/1.53  fd_pure                                 0
% 7.66/1.53  fd_pseudo                               0
% 7.66/1.53  fd_cond                                 16
% 7.66/1.53  fd_pseudo_cond                          14
% 7.66/1.53  AC symbols                              0
% 7.66/1.53  
% 7.66/1.53  ------ Schedule dynamic 5 is on 
% 7.66/1.53  
% 7.66/1.53  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  ------ 
% 7.66/1.53  Current options:
% 7.66/1.53  ------ 
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  ------ Proving...
% 7.66/1.53  
% 7.66/1.53  
% 7.66/1.53  % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.53  
% 7.66/1.53  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.54  
% 7.66/1.54  
%------------------------------------------------------------------------------