TSTP Solution File: SWB029+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 19:21:34 EDT 2022
% Result : Theorem 0.10s 0.33s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 10 unt; 0 nHn; 26 RR)
% Number of literals : 73 ( 0 equ; 51 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_owl_complementOf,skc13,uri_ex_A),
file('SWB029+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdf_type,uri_ex_w,skc12),
file('SWB029+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdf_first,skc11,uri_ex_A),
file('SWB029+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_rdf_rest,skc11,skc10),
file('SWB029+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_owl_intersectionOf,skc12,skc11),
file('SWB029+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_rest,skc10,uri_rdf_nil),
file('SWB029+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_first,skc10,skc13),
file('SWB029+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB029+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ icext(u,v)
| ~ icext(w,v)
| ~ iext(uri_owl_complementOf,w,u) ),
file('SWB029+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_owl_intersectionOf,u,y)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| icext(x,v) ),
file('SWB029+2.p',unknown),
[] ).
cnf(21,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_owl_intersectionOf,u,y)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| icext(z,v) ),
file('SWB029+2.p',unknown),
[] ).
cnf(37,plain,
icext(skc12,uri_ex_w),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(40,plain,
( ~ icext(uri_ex_A,u)
| ~ icext(skc13,u) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.2')] ).
cnf(55,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc10)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| ~ iext(uri_rdf_rest,skc10,uri_rdf_nil)
| icext(x,v) ),
inference(res,[status(thm),theory(equality)],[7,21]),
[iquote('0:Res:7.0,21.1')] ).
cnf(57,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc10)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| icext(x,v) ),
inference(mrr,[status(thm)],[55,6]),
[iquote('0:MRR:55.4,6.0')] ).
cnf(58,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc11,w)
| ~ iext(uri_owl_intersectionOf,u,skc11)
| icext(w,v) ),
inference(res,[status(thm),theory(equality)],[4,57]),
[iquote('0:Res:4.0,57.1')] ).
cnf(59,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_intersectionOf,u,skc11)
| icext(uri_ex_A,v) ),
inference(res,[status(thm),theory(equality)],[3,58]),
[iquote('0:Res:3.0,58.1')] ).
cnf(60,plain,
( ~ icext(skc12,u)
| icext(uri_ex_A,u) ),
inference(res,[status(thm),theory(equality)],[5,59]),
[iquote('0:Res:5.0,59.1')] ).
cnf(61,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc10)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| ~ iext(uri_rdf_rest,skc10,uri_rdf_nil)
| icext(skc13,v) ),
inference(res,[status(thm),theory(equality)],[7,20]),
[iquote('0:Res:7.0,20.1')] ).
cnf(63,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc10)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| icext(skc13,v) ),
inference(mrr,[status(thm)],[61,6]),
[iquote('0:MRR:61.4,6.0')] ).
cnf(64,plain,
( ~ icext(skc12,u)
| ~ icext(skc13,u) ),
inference(res,[status(thm),theory(equality)],[60,40]),
[iquote('0:Res:60.1,40.0')] ).
cnf(66,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc11,w)
| ~ iext(uri_owl_intersectionOf,u,skc11)
| icext(skc13,v) ),
inference(res,[status(thm),theory(equality)],[4,63]),
[iquote('0:Res:4.0,63.1')] ).
cnf(70,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_intersectionOf,u,skc11)
| icext(skc13,v) ),
inference(res,[status(thm),theory(equality)],[3,66]),
[iquote('0:Res:3.0,66.1')] ).
cnf(71,plain,
( ~ icext(skc12,u)
| icext(skc13,u) ),
inference(res,[status(thm),theory(equality)],[5,70]),
[iquote('0:Res:5.0,70.1')] ).
cnf(72,plain,
~ icext(skc12,u),
inference(mrr,[status(thm)],[71,64]),
[iquote('0:MRR:71.1,64.1')] ).
cnf(73,plain,
$false,
inference(unc,[status(thm)],[72,37]),
[iquote('0:UnC:72.0,37.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.07 % Command : run_spass %d %s
% 0.06/0.26 % Computer : n017.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Wed Jun 1 04:34:11 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.33
% 0.10/0.33 SPASS V 3.9
% 0.10/0.33 SPASS beiseite: Proof found.
% 0.10/0.33 % SZS status Theorem
% 0.10/0.33 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 SPASS derived 36 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.10/0.33 SPASS allocated 98234 KBytes.
% 0.10/0.33 SPASS spent 0:00:00.06 on the problem.
% 0.10/0.33 0:00:00.02 for the input.
% 0.10/0.33 0:00:00.03 for the FLOTTER CNF translation.
% 0.10/0.33 0:00:00.00 for inferences.
% 0.10/0.33 0:00:00.00 for the backtracking.
% 0.10/0.33 0:00:00.00 for the reduction.
% 0.10/0.33
% 0.10/0.33
% 0.10/0.33 Here is a proof with depth 5, length 26 :
% 0.10/0.33 % SZS output start Refutation
% See solution above
% 0.10/0.33 Formulae used in the proof : testcase_premise_fullish_029_Ex_Falso_Quodlibet rdfs_cext_def owl_bool_complementof_class owl_bool_intersectionof_class_002
% 0.10/0.33
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