TSTP Solution File: SET648+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET648+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 05:02:53 EDT 2022
% Result : Theorem 109.43s 14.17s
% Output : Proof 109.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ilf_type(sK12,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10)]) ).
cnf(g1,plain,
ilf_type(sK13,binary_relation_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10)]) ).
cnf(g2,plain,
subset(range_of(sK13),sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10)]) ).
cnf(g3,plain,
~ ilf_type(sK13,relation_type(domain_of(sK13),sK12)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10)]) ).
cnf(g4,plain,
( ~ ilf_type(sK13,binary_relation_type)
| ilf_type(domain_of(sK13),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7)]) ).
cnf(g5,plain,
( ~ ilf_type(sK13,binary_relation_type)
| ilf_type(range_of(sK13),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9)]) ).
cnf(g6,plain,
( ~ ilf_type(sK13,binary_relation_type)
| subset(sK13,cross_product(domain_of(sK13),range_of(sK13))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).
cnf(g7,plain,
( ~ ilf_type(domain_of(sK13),set_type)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,subset_type(cross_product(domain_of(sK13),sK12)))
| ilf_type(sK13,relation_type(domain_of(sK13),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).
cnf(g8,plain,
( ~ ilf_type(range_of(sK13),set_type)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(domain_of(sK13),set_type)
| ~ subset(range_of(sK13),sK12)
| subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(domain_of(sK13),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3)]) ).
cnf(g9,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(domain_of(sK13),range_of(sK13)),set_type)
| ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ~ subset(sK13,cross_product(domain_of(sK13),range_of(sK13)))
| ~ subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(domain_of(sK13),sK12))
| subset(sK13,cross_product(domain_of(sK13),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g10,plain,
ilf_type(sK13,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26)]) ).
cnf(g11,plain,
( ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK13,member_type(power_set(cross_product(domain_of(sK13),sK12))))
| ilf_type(sK13,subset_type(cross_product(domain_of(sK13),sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15)]) ).
cnf(g12,plain,
ilf_type(cross_product(domain_of(sK13),range_of(sK13)),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26)]) ).
cnf(g13,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(power_set(cross_product(domain_of(sK13),sK12)),set_type)
| ~ member(sK13,power_set(cross_product(domain_of(sK13),sK12)))
| ilf_type(sK13,member_type(power_set(cross_product(domain_of(sK13),sK12))))
| empty(power_set(cross_product(domain_of(sK13),sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22)]) ).
cnf(g14,plain,
( ~ ilf_type(domain_of(sK13),set_type)
| ~ ilf_type(sK12,set_type)
| ilf_type(cross_product(domain_of(sK13),sK12),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13)]) ).
cnf(g15,plain,
( ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ilf_type(power_set(cross_product(domain_of(sK13),sK12)),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21)]) ).
cnf(g16,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ~ member(sK9(sK13,cross_product(domain_of(sK13),sK12)),cross_product(domain_of(sK13),sK12))
| member(sK13,power_set(cross_product(domain_of(sK13),sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20)]) ).
cnf(g17,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ilf_type(sK9(sK13,cross_product(domain_of(sK13),sK12)),set_type)
| member(sK13,power_set(cross_product(domain_of(sK13),sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20)]) ).
cnf(g18,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| member(sK13,power_set(cross_product(domain_of(sK13),sK12)))
| member(sK9(sK13,cross_product(domain_of(sK13),sK12)),sK13) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20)]) ).
cnf(g19,plain,
( ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ~ empty(power_set(cross_product(domain_of(sK13),sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21)]) ).
cnf(g20,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(domain_of(sK13),sK12),set_type)
| ~ ilf_type(sK9(sK13,cross_product(domain_of(sK13),sK12)),set_type)
| ~ subset(sK13,cross_product(domain_of(sK13),sK12))
| ~ member(sK9(sK13,cross_product(domain_of(sK13),sK12)),sK13)
| member(sK9(sK13,cross_product(domain_of(sK13),sK12)),cross_product(domain_of(sK13),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET648+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n011.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 : Mon Jul 11 04:10:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 109.43/14.17 % symbols: 31
% 109.43/14.17 % clauses: 80
% 109.43/14.17 % start clauses: 4
% 109.43/14.17 % iterative deepening steps: 1779
% 109.43/14.17 % maximum path limit: 4
% 109.43/14.17 % literal attempts: 6061896
% 109.43/14.17 % depth failures: 5381947
% 109.43/14.17 % regularity failures: 41325
% 109.43/14.17 % tautology failures: 74486
% 109.43/14.17 % reductions: 37260
% 109.43/14.17 % extensions: 6020911
% 109.43/14.17 % SAT variables: 441383
% 109.43/14.17 % SAT clauses: 494936
% 109.43/14.17 % WalkSAT solutions: 493666
% 109.43/14.17 % CDCL solutions: 1262
% 109.43/14.17 % SZS status Theorem for theBenchmark
% 109.43/14.17 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------