TSTP Solution File: SWC065-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC065-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 03:11:05 EDT 2024

% Result   : Unsatisfiable 0.72s 1.04s
% Output   : CNFRefutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   43 (  17 unt;   6 nHn;  43 RR)
%            Number of literals    :  115 (  37 equ;  71 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

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

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,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

cnf(c_61,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_71,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_120,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_137,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_143,plain,
    ( ~ segmentP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).

cnf(c_163,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_178,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_236,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_254,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_178]) ).

cnf(c_263,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_236]) ).

cnf(c_1591,plain,
    app(sk1,sk5) = sk2,
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_1658,plain,
    ( sk1 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_3521,plain,
    ( X0 != sk2
    | X0 != nil
    | sk1 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_254]) ).

cnf(c_3522,plain,
    ( sk1 != nil
    | sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_3521]) ).

cnf(c_3523,plain,
    sk1 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3522,c_50,c_1658,c_3522]) ).

cnf(c_3562,plain,
    ( X0 != X1
    | X2 != nil
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_61,c_163]) ).

cnf(c_3563,plain,
    ( ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3562]) ).

cnf(c_3565,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk1,X0)
    | X0 = nil
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3563,c_71,c_3563]) ).

cnf(c_3566,plain,
    ( ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | X0 = nil
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_3565]) ).

cnf(c_6581,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_6584,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_6585,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_9229,plain,
    ( ~ segmentP(sk2,sk1)
    | ~ ssList(sk1)
    | sk1 = nil
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_120,c_3566]) ).

cnf(c_9230,plain,
    ( ~ segmentP(sk2,sk1)
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9229,c_3523,c_6585]) ).

cnf(c_9359,plain,
    app(nil,sk1) = sk1,
    inference(superposition,[status(thm)],[c_6585,c_137]) ).

cnf(c_9491,plain,
    ( ~ ssList(app(app(nil,sk1),X0))
    | ~ ssList(X0)
    | ~ ssList(sk1)
    | ~ ssList(nil)
    | segmentP(app(sk1,X0),sk1) ),
    inference(superposition,[status(thm)],[c_9359,c_263]) ).

cnf(c_9492,plain,
    ( ~ ssList(app(sk1,X0))
    | ~ ssList(X0)
    | ~ ssList(sk1)
    | ~ ssList(nil)
    | segmentP(app(sk1,X0),sk1) ),
    inference(light_normalisation,[status(thm)],[c_9491,c_9359]) ).

cnf(c_9493,plain,
    ( ~ ssList(app(sk1,X0))
    | ~ ssList(X0)
    | segmentP(app(sk1,X0),sk1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9492,c_71,c_6585]) ).

cnf(c_9520,plain,
    ( ~ ssList(app(sk1,sk5))
    | ~ ssList(sk5)
    | segmentP(sk2,sk1) ),
    inference(superposition,[status(thm)],[c_1591,c_9493]) ).

cnf(c_9524,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk5)
    | segmentP(sk2,sk1) ),
    inference(light_normalisation,[status(thm)],[c_9520,c_1591]) ).

cnf(c_9525,plain,
    segmentP(sk2,sk1),
    inference(forward_subsumption_resolution,[status(thm)],[c_9524,c_6581,c_6584]) ).

cnf(c_9526,plain,
    sk2 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_9230,c_9525]) ).

cnf(c_9582,plain,
    segmentP(nil,sk1),
    inference(light_normalisation,[status(thm)],[c_9525,c_9526]) ).

cnf(c_9583,plain,
    ( ~ ssList(sk1)
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_9582,c_143]) ).

cnf(c_9584,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9583,c_3523,c_6585]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SWC065-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.06/0.25  % Computer : n015.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Thu May  2 23:53:06 EDT 2024
% 0.06/0.25  % CPUTime  : 
% 0.10/0.31  Running first-order theorem proving
% 0.10/0.31  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
% 0.72/1.04  % SZS status Started for theBenchmark.p
% 0.72/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.04  
% 0.72/1.04  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.72/1.04  
% 0.72/1.04  ------  iProver source info
% 0.72/1.04  
% 0.72/1.04  git: date: 2024-05-02 19:28:25 +0000
% 0.72/1.04  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.72/1.04  git: non_committed_changes: false
% 0.72/1.04  
% 0.72/1.04  ------ Parsing...successful
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  ------ Preprocessing... sup_sim: 8  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 
% 0.72/1.04  
% 0.72/1.04  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.72/1.04  
% 0.72/1.04  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.72/1.04  ------ Proving...
% 0.72/1.04  ------ Problem Properties 
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  clauses                                 188
% 0.72/1.04  conjectures                             5
% 0.72/1.04  EPR                                     61
% 0.72/1.04  Horn                                    159
% 0.72/1.04  unary                                   66
% 0.72/1.04  binary                                  21
% 0.72/1.04  lits                                    562
% 0.72/1.04  lits eq                                 78
% 0.72/1.04  fd_pure                                 0
% 0.72/1.04  fd_pseudo                               0
% 0.72/1.04  fd_cond                                 16
% 0.72/1.04  fd_pseudo_cond                          14
% 0.72/1.04  AC symbols                              0
% 0.72/1.04  
% 0.72/1.04  ------ Schedule dynamic 5 is on 
% 0.72/1.04  
% 0.72/1.04  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  ------ 
% 0.72/1.04  Current options:
% 0.72/1.04  ------ 
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  ------ Proving...
% 0.72/1.04  
% 0.72/1.04  
% 0.72/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.04  
% 0.72/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.72/1.04  
% 0.72/1.04  
%------------------------------------------------------------------------------