%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 05:02:50 EDT 2022

% Result   : Theorem 1.42s 0.54s
% Output   : Proof 1.42s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK11,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3)]) ).

cnf(g1,plain,
    ilf_type(sK12,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3)]) ).

cnf(g2,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3)]) ).

cnf(g3,plain,
    subset(sK11,cross_product(sK12,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3)]) ).

cnf(g4,plain,
    ~ ilf_type(sK11,relation_type(sK12,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3)]) ).

cnf(g5,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ilf_type(cross_product(sK12,sK13),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK11,subset_type(cross_product(sK12,sK13)))
    | ilf_type(sK11,relation_type(sK12,sK13)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g7,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(cross_product(sK12,sK13),set_type)
    | ~ ilf_type(sK5(sK11,cross_product(sK12,sK13)),set_type)
    | ~ member(sK5(sK11,cross_product(sK12,sK13)),sK11)
    | ~ subset(sK11,cross_product(sK12,sK13))
    | member(sK5(sK11,cross_product(sK12,sK13)),cross_product(sK12,sK13)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5)]) ).

cnf(g8,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(cross_product(sK12,sK13),set_type)
    | member(sK11,power_set(cross_product(sK12,sK13)))
    | member(sK5(sK11,cross_product(sK12,sK13)),sK11) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10)]) ).

cnf(g9,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(cross_product(sK12,sK13),set_type)
    | ~ member(sK5(sK11,cross_product(sK12,sK13)),cross_product(sK12,sK13))
    | member(sK11,power_set(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10)]) ).

cnf(g10,plain,
    ilf_type(sK5(sK11,cross_product(sK12,sK13)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18)]) ).

cnf(g11,plain,
    ( ~ ilf_type(cross_product(sK12,sK13),set_type)
    | ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK11,member_type(power_set(cross_product(sK12,sK13))))
    | ilf_type(sK11,subset_type(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7)]) ).

cnf(g12,plain,
    ( ~ ilf_type(cross_product(sK12,sK13),set_type)
    | ilf_type(power_set(cross_product(sK12,sK13)),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11)]) ).

cnf(g13,plain,
    ( ~ ilf_type(cross_product(sK12,sK13),set_type)
    | ~ empty(power_set(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11)]) ).

cnf(g14,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(power_set(cross_product(sK12,sK13)),set_type)
    | ~ member(sK11,power_set(cross_product(sK12,sK13)))
    | ilf_type(sK11,member_type(power_set(cross_product(sK12,sK13))))
    | empty(power_set(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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 08:31:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.42/0.54  % symbols: 28
% 1.42/0.54  % clauses: 70
% 1.42/0.54  % start clauses: 5
% 1.42/0.54  % iterative deepening steps: 183
% 1.42/0.54  % maximum path limit: 3
% 1.42/0.54  % literal attempts: 430467
% 1.42/0.54  % depth failures: 393119
% 1.42/0.54  % regularity failures: 464
% 1.42/0.54  % tautology failures: 1138
% 1.42/0.54  % reductions: 1918
% 1.42/0.54  % extensions: 427935
% 1.42/0.54  % SAT variables: 41437
% 1.42/0.54  % SAT clauses: 43556
% 1.42/0.54  % WalkSAT solutions: 43557
% 1.42/0.54  % CDCL solutions: 0
% 1.42/0.54  % SZS status Theorem for theBenchmark
% 1.42/0.54  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------