TSTP Solution File: SET678+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n024.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 05:03:05 EDT 2022
% Result : Theorem 13.91s 2.46s
% Output : Proof 14.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ilf_type(sK14,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_45)]) ).
cnf(g1,plain,
ilf_type(sK15,identity_relation_of_type(sK14)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_45)]) ).
cnf(g2,plain,
( ~ sPE(compose(identity_relation_of(sK14),sK15),sK15)
| ~ sPE(compose(sK15,identity_relation_of(sK14)),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_45)]) ).
cnf(g3,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK14,sK14))
| sPE(range(sK14,sK14,sK15),range_of(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34)]) ).
cnf(g4,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,set_type)
| ~ ilf_type(sK15,identity_relation_of_type(sK14))
| ilf_type(sK15,relation_type(sK14,sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7)]) ).
cnf(g5,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK14,sK14))
| ilf_type(sK15,subset_type(cross_product(sK14,sK14))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15)]) ).
cnf(g6,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,binary_relation_type)
| ~ subset(domain_of(sK15),sK14)
| sPE(compose(identity_relation_of(sK14),sK15),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).
cnf(g7,plain,
( ~ ilf_type(sK14,set_type)
| ilf_type(power_set(sK14),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27)]) ).
cnf(g8,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK14,sK14))
| sPE(domain(sK14,sK14,sK15),domain_of(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32)]) ).
cnf(g9,plain,
( ~ ilf_type(sK14,set_type)
| ~ empty(power_set(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27)]) ).
cnf(g10,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK14,sK14))
| ilf_type(domain(sK14,sK14,sK15),subset_type(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33)]) ).
cnf(g11,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,binary_relation_type)
| ~ subset(range_of(sK15),sK14)
| sPE(compose(sK15,identity_relation_of(sK14)),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).
cnf(g12,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,subset_type(cross_product(sK14,sK14)))
| relation_like(sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25)]) ).
cnf(g13,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK14,sK14))
| ilf_type(range(sK14,sK14,sK15),subset_type(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35)]) ).
cnf(g14,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(g15,plain,
ilf_type(sK15,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38)]) ).
cnf(g16,plain,
( ~ ilf_type(range_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| subset(range_of(sK15),sK14)
| member(sK6(range_of(sK15),sK14),range_of(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19)]) ).
cnf(g17,plain,
( ~ ilf_type(range_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| ~ member(sK6(range_of(sK15),sK14),sK14)
| subset(range_of(sK15),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19)]) ).
cnf(g18,plain,
( ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| subset(domain_of(sK15),sK14)
| member(sK6(domain_of(sK15),sK14),domain_of(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19)]) ).
cnf(g19,plain,
( ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| ~ member(sK6(domain_of(sK15),sK14),sK14)
| subset(domain_of(sK15),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19)]) ).
cnf(g20,plain,
sPE(set_type,set_type),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
ilf_type(range_of(sK15),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38)]) ).
cnf(g22,plain,
sPE(subset_type(sK14),subset_type(sK14)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
ilf_type(domain(sK14,sK14,sK15),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38)]) ).
cnf(g24,plain,
( ~ sPE(domain(sK14,sK14,sK15),domain_of(sK15))
| ~ sPE(subset_type(sK14),subset_type(sK14))
| ~ ilf_type(domain(sK14,sK14,sK15),subset_type(sK14))
| ilf_type(domain_of(sK15),subset_type(sK14)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(domain_of(sK15),subset_type(sK14))
| ilf_type(domain_of(sK15),member_type(power_set(sK14))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).
cnf(g26,plain,
( ~ sPE(domain(sK14,sK14,sK15),domain_of(sK15))
| ~ sPE(set_type,set_type)
| ~ ilf_type(domain(sK14,sK14,sK15),set_type)
| ilf_type(domain_of(sK15),set_type) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(range(sK14,sK14,sK15),range_of(sK15))
| ~ sPE(subset_type(sK14),subset_type(sK14))
| ~ ilf_type(range(sK14,sK14,sK15),subset_type(sK14))
| ilf_type(range_of(sK15),subset_type(sK14)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(range_of(sK15),set_type)
| ~ ilf_type(range_of(sK15),subset_type(sK14))
| ilf_type(range_of(sK15),member_type(power_set(sK14))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).
cnf(g29,plain,
ilf_type(sK6(domain_of(sK15),sK14),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38)]) ).
cnf(g30,plain,
( ~ ilf_type(range_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK6(range_of(sK15),sK14),set_type)
| ~ member(range_of(sK15),power_set(sK14))
| ~ member(sK6(range_of(sK15),sK14),range_of(sK15))
| member(sK6(range_of(sK15),sK14),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).
cnf(g31,plain,
( ~ ilf_type(range_of(sK15),set_type)
| ~ ilf_type(range_of(sK15),member_type(power_set(sK14)))
| ~ ilf_type(power_set(sK14),set_type)
| member(range_of(sK15),power_set(sK14))
| empty(power_set(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28)]) ).
cnf(g32,plain,
ilf_type(sK6(range_of(sK15),sK14),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38)]) ).
cnf(g33,plain,
( ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK6(domain_of(sK15),sK14),set_type)
| ~ member(domain_of(sK15),power_set(sK14))
| ~ member(sK6(domain_of(sK15),sK14),domain_of(sK15))
| member(sK6(domain_of(sK15),sK14),sK14) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).
cnf(g34,plain,
( ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(domain_of(sK15),member_type(power_set(sK14)))
| ~ ilf_type(power_set(sK14),set_type)
| member(domain_of(sK15),power_set(sK14))
| empty(power_set(sK14)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n024.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 04:49:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.91/2.46 % symbols: 40
% 13.91/2.46 % clauses: 107
% 13.91/2.46 % start clauses: 3
% 13.91/2.46 % iterative deepening steps: 1316
% 13.91/2.46 % maximum path limit: 3
% 13.91/2.46 % literal attempts: 2333344
% 13.91/2.46 % depth failures: 2131185
% 13.91/2.46 % regularity failures: 18427
% 13.91/2.46 % tautology failures: 11669
% 13.91/2.46 % reductions: 44404
% 13.91/2.46 % extensions: 2287359
% 13.91/2.46 % SAT variables: 623396
% 13.91/2.46 % SAT clauses: 578720
% 13.91/2.46 % WalkSAT solutions: 578709
% 13.91/2.46 % CDCL solutions: 6
% 13.91/2.46 % SZS status Theorem for theBenchmark
% 13.91/2.46 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------