TSTP Solution File: SWC017-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC017-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 03:10:53 EDT 2024

% Result   : Unsatisfiable 4.25s 1.21s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  10 unt;   6 nHn;  38 RR)
%            Number of literals    :  101 (  42 equ;  65 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   13 (   0 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)
    | ~ frontsegP(sk1,X0)
    | ~ frontsegP(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_58,negated_conjecture,
    ( sk1 != nil
    | ~ neq(X0,nil)
    | ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

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_123,plain,
    ( ~ ssList(X0)
    | frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).

cnf(c_146,plain,
    ( ~ frontsegP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).

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

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

cnf(c_1643,plain,
    ( sk2 = nil
    | frontsegP(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)
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_56,c_54]) ).

cnf(c_2231,plain,
    ( sk3 != nil
    | ~ neq(X0,nil)
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_58,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_3504,plain,
    ( X0 != sk3
    | sk3 != nil
    | nil != nil
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_2231,c_1648]) ).

cnf(c_3505,plain,
    ( sk3 != nil
    | ~ frontsegP(sk2,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3504]) ).

cnf(c_3506,plain,
    ( sk3 != nil
    | ~ frontsegP(sk3,sk3) ),
    inference(global_subsumption_just,[status(thm)],[c_3505,c_51,c_50,c_1643,c_3489,c_3505]) ).

cnf(c_3516,plain,
    ( X0 != sk3
    | nil != nil
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_2106,c_1648]) ).

cnf(c_3517,plain,
    ( ~ frontsegP(sk2,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3516]) ).

cnf(c_3518,plain,
    ( ~ frontsegP(sk3,sk3)
    | sk2 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3517,c_51,c_1634,c_3506,c_3517]) ).

cnf(c_3618,plain,
    ( X0 != sk3
    | X0 != nil
    | ~ ssList(X0)
    | sk2 = nil ),
    inference(resolution_lifted,[status(thm)],[c_1648,c_253]) ).

cnf(c_3619,plain,
    ( sk3 != nil
    | ~ ssList(sk3)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_3618]) ).

cnf(c_3620,plain,
    sk3 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3619,c_51,c_50,c_3489,c_3619]) ).

cnf(c_3651,plain,
    frontsegP(sk2,sk3),
    inference(global_subsumption_just,[status(thm)],[c_1643,c_1634,c_3620]) ).

cnf(c_9526,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_12118,plain,
    ( ~ ssList(sk3)
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_123,c_3518]) ).

cnf(c_12119,plain,
    sk2 = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_12118,c_9526]) ).

cnf(c_12120,plain,
    frontsegP(nil,sk3),
    inference(demodulation,[status(thm)],[c_3651,c_12119]) ).

cnf(c_12610,plain,
    ( ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_12120,c_146]) ).

cnf(c_12611,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12610,c_3620,c_9526]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC017-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 23:20:04 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 4.25/1.21  % SZS status Started for theBenchmark.p
% 4.25/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.21  
% 4.25/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.25/1.21  
% 4.25/1.21  ------  iProver source info
% 4.25/1.21  
% 4.25/1.21  git: date: 2024-05-02 19:28:25 +0000
% 4.25/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.25/1.21  git: non_committed_changes: false
% 4.25/1.21  
% 4.25/1.21  ------ Parsing...successful
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  ------ 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 
% 4.25/1.21  
% 4.25/1.21  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.25/1.21  
% 4.25/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.25/1.21  ------ Proving...
% 4.25/1.21  ------ Problem Properties 
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  clauses                                 186
% 4.25/1.21  conjectures                             4
% 4.25/1.21  EPR                                     61
% 4.25/1.21  Horn                                    157
% 4.25/1.21  unary                                   64
% 4.25/1.21  binary                                  22
% 4.25/1.21  lits                                    557
% 4.25/1.21  lits eq                                 76
% 4.25/1.21  fd_pure                                 0
% 4.25/1.21  fd_pseudo                               0
% 4.25/1.21  fd_cond                                 16
% 4.25/1.21  fd_pseudo_cond                          14
% 4.25/1.21  AC symbols                              0
% 4.25/1.21  
% 4.25/1.21  ------ Schedule dynamic 5 is on 
% 4.25/1.21  
% 4.25/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  ------ 
% 4.25/1.21  Current options:
% 4.25/1.21  ------ 
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  ------ Proving...
% 4.25/1.21  
% 4.25/1.21  
% 4.25/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.21  
% 4.25/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.25/1.21  
% 4.25/1.21  
%------------------------------------------------------------------------------