TSTP Solution File: SET679+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n003.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 : Tue Jul 19 05:03:06 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ empty(sK9),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_46)]) ).

cnf(g1,plain,
    ilf_type(sK9,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_46)]) ).

cnf(g2,plain,
    ~ not_equal(identity_relation_of(sK9),empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_46)]) ).

cnf(g3,plain,
    ( ~ ilf_type(sK9,set_type)
    | member(sK1(sK9),sK9)
    | empty(sK9) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g4,plain,
    ( ~ ilf_type(sK9,set_type)
    | ilf_type(sK1(sK9),set_type)
    | empty(sK9) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g5,plain,
    ( ~ ilf_type(identity_relation_of(sK9),set_type)
    | ~ ilf_type(empty_set,set_type)
    | sPE(identity_relation_of(sK9),empty_set)
    | not_equal(identity_relation_of(sK9),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK9,set_type)
    | ~ ilf_type(sK1(sK9),set_type)
    | ~ member(sK1(sK9),sK9)
    | member(ordered_pair(sK1(sK9),sK1(sK9)),identity_relation_of(sK9)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g7,plain,
    ( ~ ilf_type(identity_relation_of(sK9),set_type)
    | ~ ilf_type(ordered_pair(sK1(sK9),sK1(sK9)),set_type)
    | ~ member(ordered_pair(sK1(sK9),sK1(sK9)),identity_relation_of(sK9))
    | ~ empty(identity_relation_of(sK9)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g8,plain,
    ilf_type(empty_set,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).

cnf(g9,plain,
    ilf_type(identity_relation_of(sK9),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).

cnf(g10,plain,
    ( ~ ilf_type(identity_relation_of(sK9),set_type)
    | ilf_type(sK1(identity_relation_of(sK9)),set_type)
    | empty(identity_relation_of(sK9)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g11,plain,
    ( ~ ilf_type(identity_relation_of(sK9),set_type)
    | member(sK1(identity_relation_of(sK9)),identity_relation_of(sK9))
    | empty(identity_relation_of(sK9)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g12,plain,
    ilf_type(ordered_pair(sK1(sK9),sK1(sK9)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).

cnf(g13,plain,
    ( ~ sPE(identity_relation_of(sK9),empty_set)
    | ~ ilf_type(identity_relation_of(sK9),set_type)
    | ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(sK1(identity_relation_of(sK9)),set_type)
    | ~ member(sK1(identity_relation_of(sK9)),identity_relation_of(sK9))
    | member(sK1(identity_relation_of(sK9)),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).

cnf(g14,plain,
    ( ~ ilf_type(sK1(identity_relation_of(sK9)),set_type)
    | ~ member(sK1(identity_relation_of(sK9)),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.08  % Command  : satcop --statistics %s
% 0.08/0.27  % Computer : n003.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sun Jul 10 16:12:44 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.12/0.35  % symbols: 28
% 0.12/0.35  % clauses: 74
% 0.12/0.35  % start clauses: 3
% 0.12/0.35  % iterative deepening steps: 150
% 0.12/0.35  % maximum path limit: 3
% 0.12/0.35  % literal attempts: 160357
% 0.12/0.35  % depth failures: 147729
% 0.12/0.35  % regularity failures: 839
% 0.12/0.35  % tautology failures: 844
% 0.12/0.35  % reductions: 602
% 0.12/0.35  % extensions: 159500
% 0.12/0.35  % SAT variables: 20614
% 0.12/0.35  % SAT clauses: 23463
% 0.12/0.35  % WalkSAT solutions: 23462
% 0.12/0.35  % CDCL solutions: 0
% 0.12/0.35  % SZS status Theorem for theBenchmark
% 0.12/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------