TSTP Solution File: SET682+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET682+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 05:03:07 EDT 2022
% Result : Theorem 1.67s 0.78s
% Output : Proof 1.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ilf_type(sK10,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g1,plain,
~ empty(sK11),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g2,plain,
ilf_type(sK11,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g3,plain,
ilf_type(sK12,relation_type(sK10,sK11)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g4,plain,
member(sK13,domain(sK10,sK11,sK12)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g5,plain,
( ~ ilf_type(sK11,set_type)
| ilf_type(power_set(sK11),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15)]) ).
cnf(g6,plain,
( ~ ilf_type(sK11,set_type)
| ~ empty(power_set(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15)]) ).
cnf(g7,plain,
( ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK12,relation_type(sK10,sK11))
| sPE(range(sK10,sK11,sK12),range_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22)]) ).
cnf(g8,plain,
( ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK12,relation_type(sK10,sK11))
| ilf_type(sK12,subset_type(cross_product(sK10,sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).
cnf(g9,plain,
( ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK12,relation_type(sK10,sK11))
| sPE(domain(sK10,sK11,sK12),domain_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20)]) ).
cnf(g10,plain,
( ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK12,relation_type(sK10,sK11))
| ilf_type(range(sK10,sK11,sK12),subset_type(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23)]) ).
cnf(g11,plain,
( ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK12,subset_type(cross_product(sK10,sK11)))
| relation_like(sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18)]) ).
cnf(g12,plain,
( ~ sPE(range(sK10,sK11,sK12),range_of(sK12))
| sPE(range_of(sK12),range(sK10,sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
ilf_type(sK13,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24)]) ).
cnf(g14,plain,
sPE(sK13,sK13),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
ilf_type(domain(sK10,sK11,sK12),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24)]) ).
cnf(g16,plain,
sPE(set_type,set_type),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(sK13,sK13)
| ~ sPE(domain(sK10,sK11,sK12),domain_of(sK12))
| ~ member(sK13,domain(sK10,sK11,sK12))
| member(sK13,domain_of(sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ ilf_type(domain_of(sK12),set_type)
| ~ ilf_type(sK13,set_type)
| ~ member(sK13,domain_of(sK12))
| ~ empty(domain_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).
cnf(g19,plain,
ilf_type(range(sK10,sK11,sK12),set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24)]) ).
cnf(g20,plain,
sPE(subset_type(sK11),subset_type(sK11)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(range(sK10,sK11,sK12),range_of(sK12))
| ~ sPE(subset_type(sK11),subset_type(sK11))
| ~ ilf_type(range(sK10,sK11,sK12),subset_type(sK11))
| ilf_type(range_of(sK12),subset_type(sK11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(range_of(sK12),set_type)
| ~ ilf_type(range_of(sK12),subset_type(sK11))
| ilf_type(range_of(sK12),member_type(power_set(sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12)]) ).
cnf(g23,plain,
( ~ sPE(range(sK10,sK11,sK12),range_of(sK12))
| ~ sPE(set_type,set_type)
| ~ ilf_type(range(sK10,sK11,sK12),set_type)
| ilf_type(range_of(sK12),set_type) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
ilf_type(sK12,set_type),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24)]) ).
cnf(g25,plain,
( ~ ilf_type(sK3(domain_of(sK12)),set_type)
| ~ ilf_type(sK12,binary_relation_type)
| ~ member(sK3(domain_of(sK12)),domain_of(sK12))
| member(sK0(sK3(domain_of(sK12)),sK12),range_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g26,plain,
( ~ ilf_type(sK3(domain_of(sK12)),set_type)
| ~ ilf_type(sK12,binary_relation_type)
| ~ member(sK3(domain_of(sK12)),domain_of(sK12))
| ilf_type(sK0(sK3(domain_of(sK12)),sK12),set_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).
cnf(g27,plain,
( ~ sPE(domain(sK10,sK11,sK12),domain_of(sK12))
| ~ sPE(set_type,set_type)
| ~ ilf_type(domain(sK10,sK11,sK12),set_type)
| ilf_type(domain_of(sK12),set_type) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ ilf_type(domain_of(sK12),set_type)
| ilf_type(sK3(domain_of(sK12)),set_type)
| empty(domain_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).
cnf(g29,plain,
( ~ ilf_type(domain_of(sK12),set_type)
| member(sK3(domain_of(sK12)),domain_of(sK12))
| empty(domain_of(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).
cnf(g30,plain,
( ~ ilf_type(sK12,set_type)
| ~ relation_like(sK12)
| ilf_type(sK12,binary_relation_type) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10)]) ).
cnf(g31,plain,
( ~ ilf_type(sK0(sK3(domain_of(sK12)),sK12),member_type(sK11))
| ~ member(sK0(sK3(domain_of(sK12)),sK12),range(sK10,sK11,sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49)]) ).
cnf(g32,plain,
( ~ sPE(sK0(sK3(domain_of(sK12)),sK12),sK0(sK3(domain_of(sK12)),sK12))
| ~ sPE(range_of(sK12),range(sK10,sK11,sK12))
| ~ member(sK0(sK3(domain_of(sK12)),sK12),range_of(sK12))
| member(sK0(sK3(domain_of(sK12)),sK12),range(sK10,sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
sPE(sK0(sK3(domain_of(sK12)),sK12),sK0(sK3(domain_of(sK12)),sK12)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ ilf_type(sK0(sK3(domain_of(sK12)),sK12),set_type)
| ~ ilf_type(sK11,set_type)
| ~ member(sK0(sK3(domain_of(sK12)),sK12),sK11)
| ilf_type(sK0(sK3(domain_of(sK12)),sK12),member_type(sK11))
| empty(sK11) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).
cnf(g35,plain,
( ~ ilf_type(range_of(sK12),set_type)
| ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK0(sK3(domain_of(sK12)),sK12),set_type)
| ~ member(range_of(sK12),power_set(sK11))
| ~ member(sK0(sK3(domain_of(sK12)),sK12),range_of(sK12))
| member(sK0(sK3(domain_of(sK12)),sK12),sK11) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14)]) ).
cnf(g36,plain,
( ~ ilf_type(range_of(sK12),set_type)
| ~ ilf_type(range_of(sK12),member_type(power_set(sK11)))
| ~ ilf_type(power_set(sK11),set_type)
| member(range_of(sK12),power_set(sK11))
| empty(power_set(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 08:55:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.67/0.78 % symbols: 32
% 1.67/0.78 % clauses: 74
% 1.67/0.78 % start clauses: 8
% 1.67/0.78 % iterative deepening steps: 212
% 1.67/0.78 % maximum path limit: 3
% 1.67/0.78 % literal attempts: 474717
% 1.67/0.78 % depth failures: 425658
% 1.67/0.78 % regularity failures: 2605
% 1.67/0.78 % tautology failures: 1436
% 1.67/0.78 % reductions: 4343
% 1.67/0.78 % extensions: 469173
% 1.67/0.78 % SAT variables: 77637
% 1.67/0.78 % SAT clauses: 77430
% 1.67/0.78 % WalkSAT solutions: 77425
% 1.67/0.78 % CDCL solutions: 0
% 1.67/0.78 % SZS status Theorem for theBenchmark
% 1.67/0.78 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------