TSTP Solution File: SWC392-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC392-1 : 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 03:12:19 EDT 2024

% Result   : Unsatisfiable 4.10s 1.18s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (   9 unt;  30 nHn;  40 RR)
%            Number of literals    :   97 (  54 equ;  26 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( sk4 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_63,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( sk3 = nil
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_73,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_136,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_226,plain,
    ( ~ memberP(cons(X0,X1),X2)
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | ~ ssItem(X2)
    | X0 = X2
    | memberP(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).

cnf(c_1595,plain,
    ( sk1 = nil
    | ssItem(sk6) ),
    inference(light_normalisation,[status(thm)],[c_59,c_54]) ).

cnf(c_1600,plain,
    ( sk2 = nil
    | ssItem(sk6) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1655,plain,
    ( sk1 = nil
    | memberP(sk2,sk6) ),
    inference(light_normalisation,[status(thm)],[c_64,c_53,c_54]) ).

cnf(c_1660,plain,
    ( sk2 = nil
    | memberP(sk2,sk6) ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1709,plain,
    ( cons(sk6,nil) = sk1
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_63,c_54]) ).

cnf(c_1714,plain,
    ( cons(sk6,nil) = sk1
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_60,c_53,c_54]) ).

cnf(c_9173,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk1 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1709,c_226]) ).

cnf(c_9174,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | X0 = sk6
    | sk2 = nil
    | memberP(nil,X0) ),
    inference(superposition,[status(thm)],[c_1714,c_226]) ).

cnf(c_9205,plain,
    ( sk2 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9174,c_73,c_136,c_1600,c_9174]) ).

cnf(c_9206,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_9205]) ).

cnf(c_9216,plain,
    ( ~ ssItem(sk5)
    | sk2 = nil
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_56,c_9206]) ).

cnf(c_9219,plain,
    ( sk1 = nil
    | X0 = sk6
    | ~ ssItem(X0)
    | ~ memberP(sk1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9173,c_73,c_136,c_1595,c_9173]) ).

cnf(c_9220,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | X0 = sk6
    | sk1 = nil ),
    inference(renaming,[status(thm)],[c_9219]) ).

cnf(c_9230,plain,
    ( ~ ssItem(sk5)
    | sk1 = nil
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_56,c_9220]) ).

cnf(c_9270,plain,
    ( sk2 = nil
    | sk5 = sk6 ),
    inference(global_subsumption_just,[status(thm)],[c_9216,c_55,c_9216]) ).

cnf(c_9283,plain,
    ( sk1 = nil
    | sk5 = sk6 ),
    inference(global_subsumption_just,[status(thm)],[c_9230,c_55,c_9230]) ).

cnf(c_9289,plain,
    ( sk1 = sk2
    | sk5 = sk6 ),
    inference(superposition,[status(thm)],[c_9270,c_9283]) ).

cnf(c_9397,plain,
    ( sk1 = sk2
    | sk1 = nil
    | memberP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_9289,c_1655]) ).

cnf(c_9398,plain,
    ( sk1 = sk2
    | sk2 = nil
    | memberP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_9289,c_1660]) ).

cnf(c_9501,plain,
    ( sk2 = nil
    | sk1 = sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_9398,c_57,c_9398]) ).

cnf(c_9502,plain,
    ( sk1 = sk2
    | sk2 = nil ),
    inference(renaming,[status(thm)],[c_9501]) ).

cnf(c_9535,plain,
    ( sk1 = nil
    | sk1 = sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_9397,c_57,c_9397]) ).

cnf(c_9536,plain,
    ( sk1 = sk2
    | sk1 = nil ),
    inference(renaming,[status(thm)],[c_9535]) ).

cnf(c_9543,plain,
    sk1 = sk2,
    inference(superposition,[status(thm)],[c_9536,c_9502]) ).

cnf(c_9563,plain,
    ~ memberP(sk1,sk5),
    inference(demodulation,[status(thm)],[c_57,c_9543]) ).

cnf(c_9565,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_9563]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:05:15 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 4.10/1.18  % SZS status Started for theBenchmark.p
% 4.10/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.18  
% 4.10/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.10/1.18  
% 4.10/1.18  ------  iProver source info
% 4.10/1.18  
% 4.10/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.10/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.10/1.18  git: non_committed_changes: false
% 4.10/1.18  
% 4.10/1.18  ------ Parsing...successful
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  ------ Preprocessing... sup_sim: 12  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.10/1.18  
% 4.10/1.18  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.10/1.18  
% 4.10/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.10/1.18  ------ Proving...
% 4.10/1.18  ------ Problem Properties 
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  clauses                                 192
% 4.10/1.18  conjectures                             7
% 4.10/1.18  EPR                                     65
% 4.10/1.18  Horn                                    156
% 4.10/1.18  unary                                   65
% 4.10/1.18  binary                                  27
% 4.10/1.18  lits                                    570
% 4.10/1.18  lits eq                                 83
% 4.10/1.18  fd_pure                                 0
% 4.10/1.18  fd_pseudo                               0
% 4.10/1.18  fd_cond                                 17
% 4.10/1.18  fd_pseudo_cond                          14
% 4.10/1.18  AC symbols                              0
% 4.10/1.18  
% 4.10/1.18  ------ Input Options Time Limit: Unbounded
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  ------ 
% 4.10/1.18  Current options:
% 4.10/1.18  ------ 
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  ------ Proving...
% 4.10/1.18  
% 4.10/1.18  
% 4.10/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.18  
% 4.10/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.18  
% 4.10/1.18  
%------------------------------------------------------------------------------