↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV380+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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  : 600s
% DateTime : Wed Jul 20 17:47:02 EDT 2022

% Result   : Theorem 7.60s 2.50s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   44 (  15 unt;  26 nHn;  24 RR)
%            Number of literals    :   92 (  39 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   83 (  31 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_38) ).

cnf(i_0_37,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | contains_slb(X1,findmin_pqp_res(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_37) ).

cnf(i_0_49,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_49) ).

cnf(i_0_52,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_52) ).

cnf(i_0_46,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_46) ).

cnf(i_0_31,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_31) ).

cnf(i_0_30,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_30) ).

cnf(i_0_45,negated_conjecture,
    ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_45) ).

cnf(i_0_47,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_47) ).

cnf(i_0_41,plain,
    ( X1 = create_slb
    | findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_41) ).

cnf(i_0_39,plain,
    ( X1 = create_slb
    | triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3) = findmin_cpq_eff(triple(X2,X1,X3))
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_39) ).

cnf(i_0_36,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_36) ).

cnf(i_0_40,plain,
    findmin_cpq_res(triple(X1,create_slb,X2)) = bottom,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3gw3guxk/lgb.p',i_0_40) ).

cnf(c_0_66,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2))) ),
    i_0_38 ).

cnf(c_0_67,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | contains_slb(X1,findmin_pqp_res(X2)) ),
    i_0_37 ).

cnf(c_0_68,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_49 ).

cnf(c_0_69,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_52 ).

cnf(c_0_70,plain,
    ( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
    | X2 = create_slb
    | ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) ),
    inference(csr,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,plain,
    ( less_than(X1,X2)
    | strictly_less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    i_0_46 ).

cnf(c_0_73,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    i_0_31 ).

cnf(c_0_74,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_30 ).

cnf(c_0_75,plain,
    ( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
    | X2 = create_slb
    | less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
    i_0_45 ).

cnf(c_0_77,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
    i_0_47 ).

cnf(c_0_79,plain,
    ( X1 = create_slb
    | less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2))
    | ~ ok(findmin_cpq_eff(triple(X2,X1,X3))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,bad)),findmin_cpq_res(triple(esk1_0,esk2_0,bad)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).

cnf(c_0_81,plain,
    ( X1 = create_slb
    | findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
    i_0_41 ).

cnf(c_0_82,plain,
    ( X1 = create_slb
    | contains_slb(X1,findmin_pqp_res(X2))
    | ~ ok(findmin_cpq_eff(triple(X2,X1,X3))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_67]) ).

cnf(c_0_83,lemma,
    ( X1 = create_slb
    | less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2))
    | ~ ok(remove_cpq(findmin_cpq_eff(triple(X2,X1,X3)),X4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ( esk2_0 = create_slb
    | ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,bad)),findmin_pqp_res(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,lemma,
    ( X1 = create_slb
    | contains_slb(X1,findmin_pqp_res(X2))
    | ~ ok(remove_cpq(findmin_cpq_eff(triple(X2,X1,X3)),X4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_67]),c_0_82]) ).

cnf(c_0_86,plain,
    ( X1 = create_slb
    | triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3) = findmin_cpq_eff(triple(X2,X1,X3))
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ),
    i_0_39 ).

cnf(c_0_87,negated_conjecture,
    ( esk2_0 = create_slb
    | less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( esk2_0 = create_slb
    | contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_84]) ).

cnf(c_0_89,plain,
    ( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
    | esk2_0 = create_slb ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_90,lemma,
    ( esk2_0 = create_slb
    | ok(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
    | ~ ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_89]) ).

cnf(c_0_91,plain,
    ( esk2_0 = create_slb
    | ~ ok(findmin_cpq_eff(triple(esk1_0,esk2_0,bad))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    esk2_0 = create_slb,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_84]),c_0_91]) ).

cnf(c_0_93,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    i_0_36 ).

cnf(c_0_94,plain,
    findmin_cpq_res(triple(X1,create_slb,X2)) = bottom,
    i_0_40 ).

cnf(c_0_95,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,create_slb,bad),bottom)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_92]),c_0_93]),c_0_92]),c_0_94]) ).

cnf(c_0_96,lemma,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_95]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV380+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n027.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  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 07:09:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.60/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.60/2.50  # No SInE strategy applied
% 7.60/2.50  # Trying AutoSched0 for 150 seconds
% 7.60/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S069N
% 7.60/2.50  # and selection function SelectComplexAHPExceptRRHorn.
% 7.60/2.50  #
% 7.60/2.50  # Preprocessing time       : 0.024 s
% 7.60/2.50  # Presaturation interreduction done
% 7.60/2.50  
% 7.60/2.50  # Proof found!
% 7.60/2.50  # SZS status Theorem
% 7.60/2.50  # SZS output start CNFRefutation
% See solution above
% 7.60/2.50  # Training examples: 0 positive, 0 negative
% 7.60/2.50  
% 7.60/2.50  # -------------------------------------------------
% 7.60/2.50  # User time                : 0.060 s
% 7.60/2.50  # System time              : 0.009 s
% 7.60/2.50  # Total time               : 0.069 s
% 7.60/2.50  # Maximum resident set size: 7124 pages
% 7.60/2.50  
%------------------------------------------------------------------------------