TSTP Solution File: SET666+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n009.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 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ilf_type(sK11,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_29)]) ).
cnf(g1,plain,
~ ilf_type(identity_relation_of(sK11),identity_relation_of_type(sK11)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_29)]) ).
cnf(g2,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK11,set_type)
| ilf_type(cross_product(sK11,sK11),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).
cnf(g3,plain,
( ~ ilf_type(sK11,set_type)
| subset(identity_relation_of(sK11),cross_product(sK11,sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)]) ).
cnf(g4,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(identity_relation_of(sK11),relation_type(sK11,sK11))
| ilf_type(identity_relation_of(sK11),identity_relation_of_type(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).
cnf(g5,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(identity_relation_of(sK11),subset_type(cross_product(sK11,sK11)))
| ilf_type(identity_relation_of(sK11),relation_type(sK11,sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).
cnf(g6,plain,
ilf_type(identity_relation_of(sK11),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).
cnf(g7,plain,
( ~ ilf_type(cross_product(sK11,sK11),set_type)
| ~ empty(power_set(cross_product(sK11,sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17)]) ).
cnf(g8,plain,
( ~ ilf_type(cross_product(sK11,sK11),set_type)
| ilf_type(power_set(cross_product(sK11,sK11)),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17)]) ).
cnf(g9,plain,
( ~ ilf_type(cross_product(sK11,sK11),set_type)
| ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(identity_relation_of(sK11),member_type(power_set(cross_product(sK11,sK11))))
| ilf_type(identity_relation_of(sK11),subset_type(cross_product(sK11,sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).
cnf(g10,plain,
( ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(cross_product(sK11,sK11),set_type)
| ~ ilf_type(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),set_type)
| ~ subset(identity_relation_of(sK11),cross_product(sK11,sK11))
| ~ member(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),identity_relation_of(sK11))
| member(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),cross_product(sK11,sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14)]) ).
cnf(g11,plain,
( ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(cross_product(sK11,sK11),set_type)
| ~ member(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),cross_product(sK11,sK11))
| member(identity_relation_of(sK11),power_set(cross_product(sK11,sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16)]) ).
cnf(g12,plain,
( ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(cross_product(sK11,sK11),set_type)
| member(identity_relation_of(sK11),power_set(cross_product(sK11,sK11)))
| member(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),identity_relation_of(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16)]) ).
cnf(g13,plain,
ilf_type(sK5(identity_relation_of(sK11),cross_product(sK11,sK11)),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).
cnf(g14,plain,
( ~ ilf_type(identity_relation_of(sK11),set_type)
| ~ ilf_type(power_set(cross_product(sK11,sK11)),set_type)
| ~ member(identity_relation_of(sK11),power_set(cross_product(sK11,sK11)))
| ilf_type(identity_relation_of(sK11),member_type(power_set(cross_product(sK11,sK11))))
| empty(power_set(cross_product(sK11,sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 17:09:22 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.43 % symbols: 29
% 0.20/0.43 % clauses: 73
% 0.20/0.43 % start clauses: 2
% 0.20/0.43 % iterative deepening steps: 217
% 0.20/0.43 % maximum path limit: 3
% 0.20/0.43 % literal attempts: 140139
% 0.20/0.43 % depth failures: 121845
% 0.20/0.43 % regularity failures: 1332
% 0.20/0.43 % tautology failures: 585
% 0.20/0.43 % reductions: 1233
% 0.20/0.43 % extensions: 138687
% 0.20/0.43 % SAT variables: 24076
% 0.20/0.43 % SAT clauses: 28677
% 0.20/0.43 % WalkSAT solutions: 28676
% 0.20/0.43 % CDCL solutions: 0
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------