TSTP Solution File: SET640+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET640+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 05:02:50 EDT 2022
% Result : Theorem 49.08s 6.57s
% Output : Proof 49.08s
% 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_2)]) ).
cnf(g1,plain,
ilf_type(sK12,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2)]) ).
cnf(g2,plain,
ilf_type(sK13,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2)]) ).
cnf(g3,plain,
ilf_type(sK14,relation_type(sK12,sK13)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2)]) ).
cnf(g4,plain,
subset(sK11,sK14),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2)]) ).
cnf(g5,plain,
~ subset(sK11,cross_product(sK12,sK13)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2)]) ).
cnf(g6,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/sandbox/benchmark/theBenchmark.p',p3)]) ).
cnf(g7,plain,
( ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK14,relation_type(sK12,sK13))
| ilf_type(sK14,subset_type(cross_product(sK12,sK13))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4)]) ).
cnf(g8,plain,
( ~ ilf_type(cross_product(sK12,sK13),set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,subset_type(cross_product(sK12,sK13)))
| ilf_type(sK14,member_type(power_set(cross_product(sK12,sK13)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).
cnf(g9,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK12,sK13),set_type)
| ~ subset(sK11,sK14)
| ~ subset(sK14,cross_product(sK12,sK13))
| subset(sK11,cross_product(sK12,sK13)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).
cnf(g10,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK12,sK13),set_type)
| ~ member(sK3(sK14,cross_product(sK12,sK13)),cross_product(sK12,sK13))
| subset(sK14,cross_product(sK12,sK13)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).
cnf(g11,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK12,sK13),set_type)
| subset(sK14,cross_product(sK12,sK13))
| member(sK3(sK14,cross_product(sK12,sK13)),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).
cnf(g12,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK12,sK13),set_type)
| ilf_type(sK3(sK14,cross_product(sK12,sK13)),set_type)
| subset(sK14,cross_product(sK12,sK13)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).
cnf(g13,plain,
ilf_type(sK14,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19)]) ).
cnf(g14,plain,
( ~ ilf_type(cross_product(sK12,sK13),set_type)
| ~ empty(power_set(cross_product(sK12,sK13))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).
cnf(g15,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/sandbox/benchmark/theBenchmark.p',p12)]) ).
cnf(g16,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,member_type(power_set(cross_product(sK12,sK13))))
| ~ ilf_type(power_set(cross_product(sK12,sK13)),set_type)
| member(sK14,power_set(cross_product(sK12,sK13)))
| empty(power_set(cross_product(sK12,sK13))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).
cnf(g17,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(cross_product(sK12,sK13),set_type)
| ~ ilf_type(sK3(sK14,cross_product(sK12,sK13)),set_type)
| ~ member(sK14,power_set(cross_product(sK12,sK13)))
| ~ member(sK3(sK14,cross_product(sK12,sK13)),sK14)
| member(sK3(sK14,cross_product(sK12,sK13)),cross_product(sK12,sK13)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 00:27:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 49.08/6.57 % symbols: 29
% 49.08/6.57 % clauses: 72
% 49.08/6.57 % start clauses: 6
% 49.08/6.57 % iterative deepening steps: 1450
% 49.08/6.57 % maximum path limit: 4
% 49.08/6.57 % literal attempts: 21284724
% 49.08/6.57 % depth failures: 19236535
% 49.08/6.57 % regularity failures: 95895
% 49.08/6.57 % tautology failures: 149986
% 49.08/6.57 % reductions: 158998
% 49.08/6.57 % extensions: 21121457
% 49.08/6.57 % SAT variables: 927270
% 49.08/6.57 % SAT clauses: 970648
% 49.08/6.57 % WalkSAT solutions: 970639
% 49.08/6.57 % CDCL solutions: 8
% 49.08/6.57 % SZS status Theorem for theBenchmark
% 49.08/6.57 % SZS output start ListOfCNF for theBenchmark
% See solution above
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