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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET667+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 05:03:00 EDT 2022

% Result   : Theorem 8.01s 1.39s
% Output   : Proof 8.01s
% 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_30)]) ).

cnf(g1,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_30)]) ).

cnf(g2,plain,
    ilf_type(sK14,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_30)]) ).

cnf(g3,plain,
    ilf_type(sK15,relation_type(sK12,sK13)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_30)]) ).

cnf(g4,plain,
    subset(identity_relation_of(sK14),sK15),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_30)]) ).

cnf(g5,plain,
    ( ~ subset(sK14,domain(sK12,sK13,sK15))
    | ~ subset(sK14,range(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_30)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK15,relation_type(sK12,sK13))
    | sPE(domain(sK12,sK13,sK15),domain_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27)]) ).

cnf(g7,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK15,relation_type(sK12,sK13))
    | sPE(range(sK12,sK13,sK15),range_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29)]) ).

cnf(g8,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK15,relation_type(sK12,sK13))
    | ilf_type(sK15,subset_type(cross_product(sK12,sK13))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5)]) ).

cnf(g9,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(range(sK12,sK13,sK15),set_type)
    | member(sK1(sK14,range(sK12,sK13,sK15)),sK14)
    | subset(sK14,range(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g10,plain,
    ( ~ sPE(domain(sK12,sK13,sK15),domain_of(sK15))
    | sPE(domain_of(sK15),domain(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(sK14,sK14)
    | ~ sPE(range(sK12,sK13,sK15),range_of(sK15))
    | sPE(sK1(sK14,range(sK12,sK13,sK15)),sK1(sK14,range_of(sK15))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(range(sK12,sK13,sK15),range_of(sK15))
    | sPE(range_of(sK15),range(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK15,subset_type(cross_product(sK12,sK13)))
    | relation_like(sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g14,plain,
    ilf_type(sK15,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)]) ).

cnf(g15,plain,
    ilf_type(identity_relation_of(sK14),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)]) ).

cnf(g16,plain,
    ilf_type(range(sK12,sK13,sK15),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)]) ).

cnf(g17,plain,
    sPE(sK14,sK14),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ ilf_type(sK15,set_type)
    | ~ relation_like(sK15)
    | ilf_type(sK15,binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).

cnf(g19,plain,
    ( ~ ilf_type(sK15,binary_relation_type)
    | ilf_type(range_of(sK15),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11)]) ).

cnf(g20,plain,
    ( ~ sPE(sK1(sK14,range(sK12,sK13,sK15)),sK1(sK14,range_of(sK15)))
    | ~ sPE(sK14,sK14)
    | ~ member(sK1(sK14,range(sK12,sK13,sK15)),sK14)
    | member(sK1(sK14,range_of(sK15)),sK14) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(sK14,sK14)
    | ~ sPE(range_of(sK15),range(sK12,sK13,sK15))
    | ~ subset(sK14,range_of(sK15))
    | subset(sK14,range(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(domain_of(sK15),set_type)
    | ~ member(sK1(sK14,domain_of(sK15)),domain_of(sK15))
    | subset(sK14,domain_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g23,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(range_of(sK15),set_type)
    | ~ member(sK1(sK14,range_of(sK15)),range_of(sK15))
    | subset(sK14,range_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g24,plain,
    ( ~ ilf_type(sK15,binary_relation_type)
    | ilf_type(domain_of(sK15),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9)]) ).

cnf(g25,plain,
    ( ~ sPE(sK14,sK14)
    | ~ sPE(domain_of(sK15),domain(sK12,sK13,sK15))
    | ~ subset(sK14,domain_of(sK15))
    | subset(sK14,domain(sK12,sK13,sK15)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(domain_of(sK15),set_type)
    | member(sK1(sK14,domain_of(sK15)),sK14)
    | subset(sK14,domain_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g27,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(range_of(sK15),set_type)
    | ilf_type(sK1(sK14,range_of(sK15)),set_type)
    | subset(sK14,range_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g28,plain,
    ( ~ ilf_type(identity_relation_of(sK14),set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),set_type)
    | ~ member(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),identity_relation_of(sK14))
    | ~ subset(identity_relation_of(sK14),sK15)
    | member(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g29,plain,
    ( ~ ilf_type(sK1(sK14,range_of(sK15)),set_type)
    | ~ ilf_type(sK1(sK14,range_of(sK15)),set_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | ~ member(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),sK15)
    | member(sK1(sK14,range_of(sK15)),range_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g30,plain,
    ilf_type(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)]) ).

cnf(g31,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK1(sK14,range_of(sK15)),set_type)
    | ~ member(sK1(sK14,range_of(sK15)),sK14)
    | member(ordered_pair(sK1(sK14,range_of(sK15)),sK1(sK14,range_of(sK15))),identity_relation_of(sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).

cnf(g32,plain,
    ilf_type(sK1(sK14,domain_of(sK15)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)]) ).

cnf(g33,plain,
    ( ~ ilf_type(identity_relation_of(sK14),set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),set_type)
    | ~ member(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),identity_relation_of(sK14))
    | ~ subset(identity_relation_of(sK14),sK15)
    | member(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).

cnf(g34,plain,
    ( ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | ~ member(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),sK15)
    | member(sK1(sK14,domain_of(sK15)),domain_of(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g35,plain,
    ( ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ilf_type(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).

cnf(g36,plain,
    ( ~ sPE(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15)))
    | ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ~ ilf_type(sK1(sK14,domain_of(sK15)),set_type)
    | ~ member(sK1(sK14,domain_of(sK15)),sK14)
    | member(ordered_pair(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),identity_relation_of(sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)]) ).

cnf(g37,plain,
    sPE(sK1(sK14,domain_of(sK15)),sK1(sK14,domain_of(sK15))),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET667+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 : Sun Jul 10 00:30:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.01/1.39  % symbols: 36
% 8.01/1.39  % clauses: 93
% 8.01/1.39  % start clauses: 6
% 8.01/1.39  % iterative deepening steps: 368
% 8.01/1.39  % maximum path limit: 3
% 8.01/1.39  % literal attempts: 1240277
% 8.01/1.39  % depth failures: 1146128
% 8.01/1.39  % regularity failures: 1819
% 8.01/1.39  % tautology failures: 7501
% 8.01/1.39  % reductions: 7224
% 8.01/1.39  % extensions: 1231728
% 8.01/1.39  % SAT variables: 132243
% 8.01/1.39  % SAT clauses: 138992
% 8.01/1.39  % WalkSAT solutions: 138690
% 8.01/1.39  % CDCL solutions: 295
% 8.01/1.39  % SZS status Theorem for theBenchmark
% 8.01/1.39  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------