TSTP Solution File: SET663+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n004.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 05:02:59 EDT 2022

% Result   : Theorem 0.18s 0.46s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK12,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_26)]) ).

cnf(g1,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_26)]) ).

cnf(g2,plain,
    ilf_type(sK14,relation_type(sK12,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_26)]) ).

cnf(g3,plain,
    ilf_type(sK14,relation_type(empty_set,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_26)]) ).

cnf(g4,plain,
    ~ sPE(sK14,empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_26)]) ).

cnf(g5,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK14,relation_type(sK12,sK13))
    | ilf_type(sK14,subset_type(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).

cnf(g6,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK14,relation_type(empty_set,sK13))
    | subset(domain_of(sK14),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3)]) ).

cnf(g7,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK14,relation_type(empty_set,sK13))
    | sPE(domain(empty_set,sK13,sK14),domain_of(sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29)]) ).

cnf(g8,plain,
    ( ~ sPE(domain_of(sK14),empty_set)
    | ~ ilf_type(sK14,binary_relation_type)
    | sPE(sK14,empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).

cnf(g9,plain,
    ilf_type(empty_set,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33)]) ).

cnf(g10,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK14,subset_type(cross_product(sK12,sK13)))
    | relation_like(sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28)]) ).

cnf(g11,plain,
    ( ~ ilf_type(domain_of(sK14),set_type)
    | ~ subset(domain_of(sK14),empty_set)
    | sPE(domain_of(sK14),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g12,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ relation_like(sK14)
    | ilf_type(sK14,binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13)]) ).

cnf(g13,plain,
    ilf_type(sK14,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33)]) ).

cnf(g14,plain,
    sPE(set_type,set_type),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ilf_type(domain(empty_set,sK13,sK14),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33)]) ).

cnf(g16,plain,
    ( ~ sPE(domain(empty_set,sK13,sK14),domain_of(sK14))
    | ~ sPE(set_type,set_type)
    | ~ ilf_type(domain(empty_set,sK13,sK14),set_type)
    | ilf_type(domain_of(sK14),set_type) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n004.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 : Mon Jul 11 09:42:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  % symbols: 37
% 0.18/0.46  % clauses: 96
% 0.18/0.46  % start clauses: 5
% 0.18/0.46  % iterative deepening steps: 142
% 0.18/0.46  % maximum path limit: 2
% 0.18/0.46  % literal attempts: 298965
% 0.18/0.46  % depth failures: 266556
% 0.18/0.46  % regularity failures: 648
% 0.18/0.46  % tautology failures: 1199
% 0.18/0.46  % reductions: 9601
% 0.18/0.46  % extensions: 288950
% 0.18/0.46  % SAT variables: 34912
% 0.18/0.46  % SAT clauses: 35841
% 0.18/0.46  % WalkSAT solutions: 35840
% 0.18/0.46  % CDCL solutions: 0
% 0.18/0.46  % SZS status Theorem for theBenchmark
% 0.18/0.46  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------