TSTP Solution File: SWB025+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 19:21:30 EDT 2022
% Result : Theorem 1.66s 1.85s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 36 ( 20 unt; 0 nHn; 36 RR)
% Number of literals : 89 ( 0 equ; 55 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skc22),
file('SWB025+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdf_first,skc22,uri_ex_hasCousin),
file('SWB025+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdf_rest,skc22,skc21),
file('SWB025+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skc20),
file('SWB025+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_first,skc20,uri_ex_hasUncle),
file('SWB025+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_rest,skc20,skc19),
file('SWB025+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_rest,skc19,uri_rdf_nil),
file('SWB025+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_rdf_first,skc19,skc18),
file('SWB025+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_owl_inverseOf,skc18,uri_ex_hasFather),
file('SWB025+2.p',unknown),
[] ).
cnf(10,axiom,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
file('SWB025+2.p',unknown),
[] ).
cnf(11,axiom,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
file('SWB025+2.p',unknown),
[] ).
cnf(12,axiom,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
file('SWB025+2.p',unknown),
[] ).
cnf(13,axiom,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
file('SWB025+2.p',unknown),
[] ).
cnf(14,axiom,
iext(uri_rdf_rest,skc21,uri_rdf_nil),
file('SWB025+2.p',unknown),
[] ).
cnf(15,axiom,
iext(uri_rdf_first,skc21,uri_ex_hasFather),
file('SWB025+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('SWB025+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_owl_inverseOf,x,u)
| iext(x,w,v) ),
file('SWB025+2.p',unknown),
[] ).
cnf(26,axiom,
( ~ iext(u,v,w)
| ~ iext(x,y,v)
| ~ iext(uri_rdf_first,z,u)
| ~ iext(uri_rdf_rest,x1,z)
| ~ iext(uri_rdf_first,x1,x)
| ~ iext(uri_owl_propertyChainAxiom,x2,x1)
| ~ iext(uri_rdf_rest,z,uri_rdf_nil)
| iext(x2,y,w) ),
file('SWB025+2.p',unknown),
[] ).
cnf(39,plain,
( ~ iext(uri_owl_inverseOf,u,uri_ex_hasFather)
| iext(u,uri_ex_dave,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[13,20]),
[iquote('0:Res:13.0,20.0')] ).
cnf(52,plain,
iext(skc18,uri_ex_dave,uri_ex_alice),
inference(res,[status(thm),theory(equality)],[9,39]),
[iquote('0:Res:9.0,39.0')] ).
cnf(112,plain,
( ~ iext(u,v,uri_ex_bob)
| ~ iext(uri_rdf_first,w,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,uri_ex_charly) ),
inference(res,[status(thm),theory(equality)],[11,26]),
[iquote('0:Res:11.0,26.0')] ).
cnf(124,plain,
( ~ iext(u,v,uri_ex_dave)
| ~ iext(uri_rdf_first,w,skc18)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[52,26]),
[iquote('0:Res:52.0,26.0')] ).
cnf(474,plain,
( ~ iext(uri_rdf_first,u,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_alice,uri_ex_charly) ),
inference(res,[status(thm),theory(equality)],[12,112]),
[iquote('0:Res:12.0,112.0')] ).
cnf(1556,plain,
( ~ iext(uri_rdf_rest,u,skc21)
| ~ iext(uri_rdf_first,u,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc21,uri_rdf_nil)
| iext(v,uri_ex_alice,uri_ex_charly) ),
inference(res,[status(thm),theory(equality)],[15,474]),
[iquote('0:Res:15.0,474.0')] ).
cnf(1557,plain,
( ~ iext(uri_rdf_rest,u,skc21)
| ~ iext(uri_rdf_first,u,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_alice,uri_ex_charly) ),
inference(mrr,[status(thm)],[1556,14]),
[iquote('0:MRR:1556.3,14.0')] ).
cnf(1558,plain,
( ~ iext(uri_rdf_first,skc22,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,u,skc22)
| iext(u,uri_ex_alice,uri_ex_charly) ),
inference(res,[status(thm),theory(equality)],[3,1557]),
[iquote('0:Res:3.0,1557.0')] ).
cnf(1559,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc22)
| iext(u,uri_ex_alice,uri_ex_charly) ),
inference(mrr,[status(thm)],[1558,2]),
[iquote('0:MRR:1558.0,2.0')] ).
cnf(1560,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(res,[status(thm),theory(equality)],[1,1559]),
[iquote('0:Res:1.0,1559.0')] ).
cnf(1562,plain,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(mrr,[status(thm)],[18,1560]),
[iquote('0:MRR:18.1,1560.0')] ).
cnf(2013,plain,
( ~ iext(uri_rdf_first,u,skc18)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_bob,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[10,124]),
[iquote('0:Res:10.0,124.0')] ).
cnf(3571,plain,
( ~ iext(uri_rdf_rest,u,skc19)
| ~ iext(uri_rdf_first,u,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc19,uri_rdf_nil)
| iext(v,uri_ex_bob,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[8,2013]),
[iquote('0:Res:8.0,2013.0')] ).
cnf(3572,plain,
( ~ iext(uri_rdf_rest,u,skc19)
| ~ iext(uri_rdf_first,u,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_bob,uri_ex_alice) ),
inference(mrr,[status(thm)],[3571,7]),
[iquote('0:MRR:3571.3,7.0')] ).
cnf(3573,plain,
( ~ iext(uri_rdf_first,skc20,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,u,skc20)
| iext(u,uri_ex_bob,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[6,3572]),
[iquote('0:Res:6.0,3572.0')] ).
cnf(3574,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc20)
| iext(u,uri_ex_bob,uri_ex_alice) ),
inference(mrr,[status(thm)],[3573,5]),
[iquote('0:MRR:3573.0,5.0')] ).
cnf(3575,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(res,[status(thm),theory(equality)],[4,3574]),
[iquote('0:Res:4.0,3574.0')] ).
cnf(3577,plain,
$false,
inference(mrr,[status(thm)],[3575,1562]),
[iquote('0:MRR:3575.0,1562.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Wed Jun 1 08:35:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.66/1.85
% 1.66/1.85 SPASS V 3.9
% 1.66/1.85 SPASS beiseite: Proof found.
% 1.66/1.85 % SZS status Theorem
% 1.66/1.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.85 SPASS derived 3243 clauses, backtracked 0 clauses, performed 10 splits and kept 2107 clauses.
% 1.66/1.85 SPASS allocated 101204 KBytes.
% 1.66/1.85 SPASS spent 0:00:01.49 on the problem.
% 1.66/1.85 0:00:00.03 for the input.
% 1.66/1.85 0:00:00.10 for the FLOTTER CNF translation.
% 1.66/1.85 0:00:00.08 for inferences.
% 1.66/1.85 0:00:00.08 for the backtracking.
% 1.66/1.85 0:00:01.15 for the reduction.
% 1.66/1.85
% 1.66/1.85
% 1.66/1.85 Here is a proof with depth 7, length 36 :
% 1.66/1.85 % SZS output start Refutation
% See solution above
% 1.66/1.85 Formulae used in the proof : testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties owl_inv owl_chain_002
% 1.66/1.85
%------------------------------------------------------------------------------