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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n023.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 05:02:52 EDT 2022

% Result   : Theorem 16.30s 2.58s
% Output   : Proof 16.30s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK12,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_9)]) ).

cnf(g1,plain,
    ilf_type(sK13,binary_relation_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_9)]) ).

cnf(g2,plain,
    subset(domain_of(sK13),sK12),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_9)]) ).

cnf(g3,plain,
    ~ ilf_type(sK13,relation_type(sK12,range_of(sK13))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_9)]) ).

cnf(g4,plain,
    ( ~ ilf_type(sK13,binary_relation_type)
    | ilf_type(domain_of(sK13),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g5,plain,
    ( ~ ilf_type(sK13,binary_relation_type)
    | ilf_type(range_of(sK13),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK13,binary_relation_type)
    | subset(sK13,cross_product(domain_of(sK13),range_of(sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).

cnf(g7,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(range_of(sK13),set_type)
    | ~ ilf_type(sK13,subset_type(cross_product(sK12,range_of(sK13))))
    | ilf_type(sK13,relation_type(sK12,range_of(sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4)]) ).

cnf(g8,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g9,plain,
    ( ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK13,member_type(power_set(cross_product(sK12,range_of(sK13)))))
    | ilf_type(sK13,subset_type(cross_product(sK12,range_of(sK13)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15)]) ).

cnf(g10,plain,
    ilf_type(cross_product(domain_of(sK13),range_of(sK13)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g11,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(power_set(cross_product(sK12,range_of(sK13))),set_type)
    | ~ member(sK13,power_set(cross_product(sK12,range_of(sK13))))
    | ilf_type(sK13,member_type(power_set(cross_product(sK12,range_of(sK13)))))
    | empty(power_set(cross_product(sK12,range_of(sK13)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).

cnf(g12,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(range_of(sK13),set_type)
    | ilf_type(cross_product(sK12,range_of(sK13)),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).

cnf(g13,plain,
    ( ~ ilf_type(domain_of(sK13),set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(range_of(sK13),set_type)
    | ~ subset(domain_of(sK13),sK12)
    | subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(sK12,range_of(sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)]) ).

cnf(g14,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(cross_product(domain_of(sK13),range_of(sK13)),set_type)
    | ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ~ subset(sK13,cross_product(domain_of(sK13),range_of(sK13)))
    | ~ subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(sK12,range_of(sK13)))
    | subset(sK13,cross_product(sK12,range_of(sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g15,plain,
    ( ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ilf_type(power_set(cross_product(sK12,range_of(sK13))),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21)]) ).

cnf(g16,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ilf_type(sK9(sK13,cross_product(sK12,range_of(sK13))),set_type)
    | member(sK13,power_set(cross_product(sK12,range_of(sK13)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

cnf(g17,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ~ member(sK9(sK13,cross_product(sK12,range_of(sK13))),cross_product(sK12,range_of(sK13)))
    | member(sK13,power_set(cross_product(sK12,range_of(sK13)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

cnf(g18,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | member(sK13,power_set(cross_product(sK12,range_of(sK13))))
    | member(sK9(sK13,cross_product(sK12,range_of(sK13))),sK13) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

cnf(g19,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ~ ilf_type(sK9(sK13,cross_product(sK12,range_of(sK13))),set_type)
    | ~ subset(sK13,cross_product(sK12,range_of(sK13)))
    | ~ member(sK9(sK13,cross_product(sK12,range_of(sK13))),sK13)
    | member(sK9(sK13,cross_product(sK12,range_of(sK13))),cross_product(sK12,range_of(sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).

cnf(g20,plain,
    ( ~ ilf_type(cross_product(sK12,range_of(sK13)),set_type)
    | ~ empty(power_set(cross_product(sK12,range_of(sK13)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 00:51:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 16.30/2.58  % symbols: 31
% 16.30/2.58  % clauses: 80
% 16.30/2.58  % start clauses: 4
% 16.30/2.58  % iterative deepening steps: 1406
% 16.30/2.58  % maximum path limit: 4
% 16.30/2.58  % literal attempts: 5979739
% 16.30/2.58  % depth failures: 5334248
% 16.30/2.58  % regularity failures: 34567
% 16.30/2.58  % tautology failures: 57160
% 16.30/2.58  % reductions: 34539
% 16.30/2.58  % extensions: 5941826
% 16.30/2.58  % SAT variables: 317043
% 16.30/2.58  % SAT clauses: 355996
% 16.30/2.58  % WalkSAT solutions: 355974
% 16.30/2.58  % CDCL solutions: 17
% 16.30/2.58  % SZS status Theorem for theBenchmark
% 16.30/2.58  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------