%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n005.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 05:02:58 EDT 2022

% Result   : Theorem 0.19s 0.46s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK9,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25)]) ).

cnf(g1,plain,
    ilf_type(sK10,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25)]) ).

cnf(g2,plain,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25)]) ).

cnf(g3,plain,
    ( ~ ilf_type(sK9,set_type)
    | ~ ilf_type(sK10,set_type)
    | ilf_type(cross_product(sK9,sK10),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).

cnf(g4,plain,
    ( ~ ilf_type(sK9,set_type)
    | ~ ilf_type(sK10,set_type)
    | subset(empty_set,cross_product(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g5,plain,
    ( ~ ilf_type(sK9,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(empty_set,subset_type(cross_product(sK9,sK10)))
    | ilf_type(empty_set,relation_type(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).

cnf(g6,plain,
    ( ~ ilf_type(cross_product(sK9,sK10),set_type)
    | ~ empty(power_set(cross_product(sK9,sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).

cnf(g7,plain,
    ( ~ ilf_type(cross_product(sK9,sK10),set_type)
    | ilf_type(power_set(cross_product(sK9,sK10)),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).

cnf(g8,plain,
    ilf_type(empty_set,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

cnf(g9,plain,
    ( ~ ilf_type(cross_product(sK9,sK10),set_type)
    | ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10))))
    | ilf_type(empty_set,subset_type(cross_product(sK9,sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g10,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(power_set(cross_product(sK9,sK10)),set_type)
    | ~ member(empty_set,power_set(cross_product(sK9,sK10)))
    | ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10))))
    | empty(power_set(cross_product(sK9,sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14)]) ).

cnf(g11,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(cross_product(sK9,sK10),set_type)
    | ~ ilf_type(sK4(empty_set,cross_product(sK9,sK10)),set_type)
    | ~ subset(empty_set,cross_product(sK9,sK10))
    | ~ member(sK4(empty_set,cross_product(sK9,sK10)),empty_set)
    | member(sK4(empty_set,cross_product(sK9,sK10)),cross_product(sK9,sK10)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9)]) ).

cnf(g12,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(cross_product(sK9,sK10),set_type)
    | ~ member(sK4(empty_set,cross_product(sK9,sK10)),cross_product(sK9,sK10))
    | member(empty_set,power_set(cross_product(sK9,sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).

cnf(g13,plain,
    ( ~ ilf_type(empty_set,set_type)
    | ~ ilf_type(cross_product(sK9,sK10),set_type)
    | member(empty_set,power_set(cross_product(sK9,sK10)))
    | member(sK4(empty_set,cross_product(sK9,sK10)),empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).

cnf(g14,plain,
    ilf_type(sK4(empty_set,cross_product(sK9,sK10)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 03:39:07 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.46  % symbols: 27
% 0.19/0.46  % clauses: 65
% 0.19/0.46  % start clauses: 3
% 0.19/0.46  % iterative deepening steps: 219
% 0.19/0.46  % maximum path limit: 3
% 0.19/0.46  % literal attempts: 213284
% 0.19/0.46  % depth failures: 185816
% 0.19/0.46  % regularity failures: 1080
% 0.19/0.46  % tautology failures: 1203
% 0.19/0.46  % reductions: 1649
% 0.19/0.46  % extensions: 211297
% 0.19/0.46  % SAT variables: 30087
% 0.19/0.46  % SAT clauses: 34882
% 0.19/0.46  % WalkSAT solutions: 34884
% 0.19/0.46  % CDCL solutions: 0
% 0.19/0.46  % SZS status Theorem for theBenchmark
% 0.19/0.46  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------