TSTP Solution File: SWC081-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC081-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 03:11:09 EDT 2024

% Result   : Unsatisfiable 7.69s 1.69s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   52 (  22 unt;   7 nHn;  51 RR)
%            Number of literals    :  119 (  27 equ;  66 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   2 sgn)

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

cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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_55,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

cnf(c_59,negated_conjecture,
    ( sk4 = nil
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( sk4 = nil
    | frontsegP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

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

cnf(c_63,negated_conjecture,
    ( sk3 = nil
    | frontsegP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( sk3 = nil
    | frontsegP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_72,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_115,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_179,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_196,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(c_237,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_255,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_179]) ).

cnf(c_264,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_237]) ).

cnf(c_1554,plain,
    neq(sk4,nil),
    inference(demodulation,[status(thm)],[c_55,c_53]) ).

cnf(c_1910,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_3464,plain,
    ( X0 != sk5
    | nil != nil
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk4,X0)
    | ~ ssList(X0)
    | sk4 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1910,c_59]) ).

cnf(c_3465,plain,
    ( ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5)
    | ~ ssList(sk5)
    | sk4 = nil ),
    inference(unflattening,[status(thm)],[c_3464]) ).

cnf(c_3466,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ segmentP(sk3,sk5)
    | sk4 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3465,c_57,c_3465]) ).

cnf(c_3467,plain,
    ( ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5)
    | sk4 = nil ),
    inference(renaming,[status(thm)],[c_3466]) ).

cnf(c_3561,plain,
    ( X0 != sk4
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_255,c_1554]) ).

cnf(c_3562,plain,
    ( sk4 != nil
    | ~ ssList(sk4) ),
    inference(unflattening,[status(thm)],[c_3561]) ).

cnf(c_3585,negated_conjecture,
    frontsegP(sk3,sk5),
    inference(global_subsumption_just,[status(thm)],[c_64,c_52,c_61,c_3562]) ).

cnf(c_3587,negated_conjecture,
    frontsegP(sk4,sk5),
    inference(global_subsumption_just,[status(thm)],[c_63,c_52,c_60,c_3562]) ).

cnf(c_3589,negated_conjecture,
    ssList(sk5),
    inference(global_subsumption_just,[status(thm)],[c_58,c_52,c_57,c_3562]) ).

cnf(c_9458,negated_conjecture,
    frontsegP(sk3,sk5),
    inference(demodulation,[status(thm)],[c_3585]) ).

cnf(c_9459,negated_conjecture,
    frontsegP(sk4,sk5),
    inference(demodulation,[status(thm)],[c_3587]) ).

cnf(c_9460,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_3589]) ).

cnf(c_9463,negated_conjecture,
    ssList(sk4),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_9464,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_12189,plain,
    app(nil,sk5) = sk5,
    inference(superposition,[status(thm)],[c_9460,c_138]) ).

cnf(c_12334,plain,
    ( ~ ssList(app(app(nil,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(superposition,[status(thm)],[c_12189,c_264]) ).

cnf(c_12336,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_12334,c_12189]) ).

cnf(c_12337,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | segmentP(app(sk5,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12336,c_9460,c_72]) ).

cnf(c_16056,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk4,sk5)) = sk4 ),
    inference(superposition,[status(thm)],[c_9459,c_196]) ).

cnf(c_16057,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk3,sk5)) = sk3 ),
    inference(superposition,[status(thm)],[c_9458,c_196]) ).

cnf(c_16091,plain,
    app(sk5,skaf45(sk3,sk5)) = sk3,
    inference(forward_subsumption_resolution,[status(thm)],[c_16057,c_9460,c_9464]) ).

cnf(c_16092,plain,
    app(sk5,skaf45(sk4,sk5)) = sk4,
    inference(forward_subsumption_resolution,[status(thm)],[c_16056,c_9460,c_9463]) ).

cnf(c_17104,plain,
    ( ~ ssList(app(sk5,skaf45(sk3,sk5)))
    | ~ ssList(skaf45(sk3,sk5))
    | segmentP(sk3,sk5) ),
    inference(superposition,[status(thm)],[c_16091,c_12337]) ).

cnf(c_17106,plain,
    ( ~ ssList(skaf45(sk3,sk5))
    | ~ ssList(sk3)
    | segmentP(sk3,sk5) ),
    inference(light_normalisation,[status(thm)],[c_17104,c_16091]) ).

cnf(c_17107,plain,
    segmentP(sk3,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_17106,c_9464,c_115]) ).

cnf(c_17164,plain,
    ( ~ ssList(app(sk5,skaf45(sk4,sk5)))
    | ~ ssList(skaf45(sk4,sk5))
    | segmentP(sk4,sk5) ),
    inference(superposition,[status(thm)],[c_16092,c_12337]) ).

cnf(c_17166,plain,
    ( ~ ssList(skaf45(sk4,sk5))
    | ~ ssList(sk4)
    | segmentP(sk4,sk5) ),
    inference(light_normalisation,[status(thm)],[c_17164,c_16092]) ).

cnf(c_17167,plain,
    segmentP(sk4,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_17166,c_9463,c_115]) ).

cnf(c_17193,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17167,c_17107,c_3562,c_3467,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SWC081-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15  % Command  : run_iprover %s %d THM
% 0.13/0.37  % Computer : n002.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Thu May  2 23:43:12 EDT 2024
% 0.13/0.37  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 7.69/1.69  % SZS status Started for theBenchmark.p
% 7.69/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.69  
% 7.69/1.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.69/1.69  
% 7.69/1.69  ------  iProver source info
% 7.69/1.69  
% 7.69/1.69  git: date: 2024-05-02 19:28:25 +0000
% 7.69/1.69  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.69/1.69  git: non_committed_changes: false
% 7.69/1.69  
% 7.69/1.69  ------ Parsing...successful
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  ------ 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 
% 7.69/1.69  
% 7.69/1.69  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.69/1.69  
% 7.69/1.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.69/1.69  ------ Proving...
% 7.69/1.69  ------ Problem Properties 
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  clauses                                 189
% 7.69/1.69  conjectures                             7
% 7.69/1.69  EPR                                     64
% 7.69/1.69  Horn                                    161
% 7.69/1.69  unary                                   67
% 7.69/1.69  binary                                  23
% 7.69/1.69  lits                                    558
% 7.69/1.69  lits eq                                 74
% 7.69/1.69  fd_pure                                 0
% 7.69/1.69  fd_pseudo                               0
% 7.69/1.69  fd_cond                                 16
% 7.69/1.69  fd_pseudo_cond                          14
% 7.69/1.69  AC symbols                              0
% 7.69/1.69  
% 7.69/1.69  ------ Schedule dynamic 5 is on 
% 7.69/1.69  
% 7.69/1.69  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  ------ 
% 7.69/1.69  Current options:
% 7.69/1.69  ------ 
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  ------ Proving...
% 7.69/1.69  
% 7.69/1.69  
% 7.69/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.69  
% 7.69/1.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.69/1.69  
% 7.69/1.70  
%------------------------------------------------------------------------------