%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 18:14:52 EDT 2022
% Result : Theorem 129.33s 129.54s
% Output : Refutation 129.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 27 ( 10 unt; 4 nHn; 27 RR)
% Number of literals : 50 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
partition(skc5,skc4),
file('SEV517+1.p',unknown),
[] ).
cnf(3,axiom,
member(skc7,difference(skc4,skc6)),
file('SEV517+1.p',unknown),
[] ).
cnf(6,axiom,
member(u,skf37(u,v)),
file('SEV517+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ partition(u,v)
| skP1(u,v) ),
file('SEV517+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ member(u,singleton(v))
| equal(u,v) ),
file('SEV517+1.p',unknown),
[] ).
cnf(23,axiom,
( disjoint(u,v)
| member(skf32(v,u),u) ),
file('SEV517+1.p',unknown),
[] ).
cnf(24,axiom,
( disjoint(u,v)
| member(skf32(v,w),v) ),
file('SEV517+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ member(u,difference(v,w))
| member(u,v) ),
file('SEV517+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ member(u,v)
| ~ member(u,difference(w,v)) ),
file('SEV517+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ member(u,difference(skc5,singleton(skc6)))
| ~ member(skc7,u) ),
file('SEV517+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ member(u,v)
| member(u,w)
| member(u,difference(v,w)) ),
file('SEV517+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ member(u,v)
| ~ member(u,w)
| ~ disjoint(w,v) ),
file('SEV517+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ member(u,v)
| ~ skP1(w,v)
| member(skf37(u,w),w) ),
file('SEV517+1.p',unknown),
[] ).
cnf(92,plain,
skP1(skc5,skc4),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(95,plain,
member(skc7,skc4),
inference(res,[status(thm),theory(equality)],[3,36]),
[iquote('0:Res:3.0,36.0')] ).
cnf(273,plain,
( ~ member(skf32(u,difference(v,w)),w)
| disjoint(difference(v,w),u) ),
inference(res,[status(thm),theory(equality)],[23,41]),
[iquote('0:Res:23.1,41.1')] ).
cnf(474,plain,
( ~ member(u,v)
| ~ disjoint(v,skf37(u,w)) ),
inference(res,[status(thm),theory(equality)],[6,55]),
[iquote('0:Res:6.0,55.0')] ).
cnf(604,plain,
( ~ member(u,skc5)
| ~ member(skc7,u)
| member(u,singleton(skc6)) ),
inference(res,[status(thm),theory(equality)],[51,44]),
[iquote('0:Res:51.2,44.0')] ).
cnf(790,plain,
( ~ skP1(u,skc4)
| member(skf37(skc7,u),u) ),
inference(res,[status(thm),theory(equality)],[95,65]),
[iquote('0:Res:95.0,65.0')] ).
cnf(4498,plain,
( ~ member(u,skc5)
| ~ member(skc7,u)
| equal(u,skc6) ),
inference(res,[status(thm),theory(equality)],[604,21]),
[iquote('0:Res:604.2,21.0')] ).
cnf(10335,plain,
( disjoint(u,v)
| disjoint(difference(w,v),v) ),
inference(res,[status(thm),theory(equality)],[24,273]),
[iquote('0:Res:24.1,273.0')] ).
cnf(10342,plain,
disjoint(difference(u,v),v),
inference(con,[status(thm)],[10335]),
[iquote('0:Con:10335.0')] ).
cnf(10354,plain,
~ member(u,difference(v,skf37(u,w))),
inference(res,[status(thm),theory(equality)],[10342,474]),
[iquote('0:Res:10342.0,474.1')] ).
cnf(82032,plain,
( ~ skP1(skc5,skc4)
| ~ member(skc7,skf37(skc7,skc5))
| equal(skf37(skc7,skc5),skc6) ),
inference(res,[status(thm),theory(equality)],[790,4498]),
[iquote('0:Res:790.1,4498.0')] ).
cnf(82139,plain,
equal(skf37(skc7,skc5),skc6),
inference(mrr,[status(thm)],[82032,92,6]),
[iquote('0:MRR:82032.0,82032.1,92.0,6.0')] ).
cnf(82167,plain,
~ member(skc7,difference(u,skc6)),
inference(spl,[status(thm),theory(equality)],[82139,10354]),
[iquote('0:SpL:82139.0,10354.0')] ).
cnf(82186,plain,
$false,
inference(unc,[status(thm)],[82167,3]),
[iquote('0:UnC:82167.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 00:37:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 129.33/129.54
% 129.33/129.54 SPASS V 3.9
% 129.33/129.54 SPASS beiseite: Proof found.
% 129.33/129.54 % SZS status Theorem
% 129.33/129.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.33/129.54 SPASS derived 69676 clauses, backtracked 268 clauses, performed 15 splits and kept 31950 clauses.
% 129.33/129.54 SPASS allocated 160481 KBytes.
% 129.33/129.54 SPASS spent 0:02:06.79 on the problem.
% 129.33/129.54 0:00:00.04 for the input.
% 129.33/129.54 0:00:00.24 for the FLOTTER CNF translation.
% 129.33/129.54 0:00:01.12 for inferences.
% 129.33/129.54 0:00:02.10 for the backtracking.
% 129.33/129.54 0:02:01.73 for the reduction.
% 129.33/129.54
% 129.33/129.54
% 129.33/129.54 Here is a proof with depth 4, length 27 :
% 129.33/129.54 % SZS output start Refutation
% See solution above
% 129.33/129.54 Formulae used in the proof : diff_elem_in_partition partition product empty_set singleton disjoint difference
% 129.33/129.54
%------------------------------------------------------------------------------