TSTP Solution File: SET665+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n019.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 1.45s 0.55s
% Output : Proof 1.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ilf_type(sK14,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_28)]) ).
cnf(g1,plain,
~ subset(identity_relation_of(sK14),cross_product(sK14,sK14)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_28)]) ).
cnf(g2,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ilf_type(cross_product(sK14,sK14),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).
cnf(g3,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ilf_type(cross_product(sK14,sK14),relation_type(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).
cnf(g4,plain,
( ~ ilf_type(sK14,set_type)
| ilf_type(identity_relation_of(sK14),binary_relation_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8)]) ).
cnf(g5,plain,
( ~ ilf_type(identity_relation_of(sK14),binary_relation_type)
| ~ ilf_type(cross_product(sK14,sK14),binary_relation_type)
| ilf_type(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| subset(identity_relation_of(sK14),cross_product(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g6,plain,
( ~ ilf_type(identity_relation_of(sK14),binary_relation_type)
| ~ ilf_type(cross_product(sK14,sK14),binary_relation_type)
| subset(identity_relation_of(sK14),cross_product(sK14,sK14))
| member(ordered_pair(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))),identity_relation_of(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g7,plain,
( ~ ilf_type(identity_relation_of(sK14),binary_relation_type)
| ~ ilf_type(cross_product(sK14,sK14),binary_relation_type)
| ~ member(ordered_pair(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))),cross_product(sK14,sK14))
| subset(identity_relation_of(sK14),cross_product(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g8,plain,
( ~ ilf_type(identity_relation_of(sK14),binary_relation_type)
| ~ ilf_type(cross_product(sK14,sK14),binary_relation_type)
| ilf_type(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| subset(identity_relation_of(sK14),cross_product(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g9,plain,
( ~ ilf_type(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ ilf_type(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ member(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK14)
| ~ member(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),sK14)
| member(ordered_pair(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))),cross_product(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3)]) ).
cnf(g10,plain,
( ~ ilf_type(cross_product(sK14,sK14),set_type)
| ~ relation_like(cross_product(sK14,sK14))
| ilf_type(cross_product(sK14,sK14),binary_relation_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11)]) ).
cnf(g11,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK14,sK14),relation_type(sK14,sK14))
| ilf_type(cross_product(sK14,sK14),subset_type(cross_product(sK14,sK14))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13)]) ).
cnf(g12,plain,
sPE(sK14,sK14),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK14,sK14),subset_type(cross_product(sK14,sK14)))
| relation_like(cross_product(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20)]) ).
cnf(g14,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ ilf_type(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ member(ordered_pair(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))),identity_relation_of(sK14))
| member(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).
cnf(g15,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ ilf_type(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),set_type)
| ~ member(ordered_pair(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))),identity_relation_of(sK14))
| sPE(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7)]) ).
cnf(g16,plain,
( ~ sPE(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK1(identity_relation_of(sK14),cross_product(sK14,sK14)))
| ~ sPE(sK14,sK14)
| ~ member(sK0(identity_relation_of(sK14),cross_product(sK14,sK14)),sK14)
| member(sK1(identity_relation_of(sK14),cross_product(sK14,sK14)),sK14) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n019.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 02:21:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.45/0.55 % symbols: 31
% 1.45/0.55 % clauses: 90
% 1.45/0.55 % start clauses: 2
% 1.45/0.55 % iterative deepening steps: 243
% 1.45/0.55 % maximum path limit: 3
% 1.45/0.55 % literal attempts: 393285
% 1.45/0.55 % depth failures: 367513
% 1.45/0.55 % regularity failures: 154
% 1.45/0.55 % tautology failures: 989
% 1.45/0.55 % reductions: 5205
% 1.45/0.55 % extensions: 387821
% 1.45/0.55 % SAT variables: 20820
% 1.45/0.55 % SAT clauses: 24482
% 1.45/0.55 % WalkSAT solutions: 24479
% 1.45/0.55 % CDCL solutions: 0
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------