TSTP Solution File: SEU162+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 14:34:33 EDT 2022
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 2 nHn; 21 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( in(u,v)
| disjoint(singleton(u),v) ),
file('SEU162+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ disjoint(u,v)
| disjoint(v,u) ),
file('SEU162+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ in(u,v)
| ~ disjoint(singleton(u),v) ),
file('SEU162+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ disjoint(u,v)
| equal(set_difference(u,v),u) ),
file('SEU162+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ equal(set_difference(u,v),u)
| disjoint(u,v) ),
file('SEU162+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ in(skc3,skc2)
| equal(set_difference(skc2,singleton(skc3)),skc2) ),
file('SEU162+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(set_difference(skc2,singleton(skc3)),skc2)
| in(skc3,skc2) ),
file('SEU162+1.p',unknown),
[] ).
cnf(9,plain,
( in(u,v)
| disjoint(v,singleton(u)) ),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.1,2.0')] ).
cnf(15,plain,
~ in(skc3,skc2),
inference(spt,[spt(split,[position(s1)])],[7]),
[iquote('1:Spt:7.0')] ).
cnf(16,plain,
~ equal(set_difference(skc2,singleton(skc3)),skc2),
inference(mrr,[status(thm)],[8,15]),
[iquote('1:MRR:8.1,15.0')] ).
cnf(17,plain,
( ~ disjoint(skc2,singleton(skc3))
| ~ equal(skc2,skc2) ),
inference(spl,[status(thm),theory(equality)],[5,16]),
[iquote('1:SpL:5.1,16.0')] ).
cnf(18,plain,
~ disjoint(skc2,singleton(skc3)),
inference(obv,[status(thm),theory(equality)],[17]),
[iquote('1:Obv:17.1')] ).
cnf(19,plain,
in(skc3,skc2),
inference(res,[status(thm),theory(equality)],[9,18]),
[iquote('1:Res:9.1,18.0')] ).
cnf(20,plain,
$false,
inference(mrr,[status(thm)],[19,15]),
[iquote('1:MRR:19.0,15.0')] ).
cnf(21,plain,
in(skc3,skc2),
inference(spt,[spt(split,[position(sa)])],[20,15]),
[iquote('1:Spt:20.0,7.0,15.0')] ).
cnf(22,plain,
equal(set_difference(skc2,singleton(skc3)),skc2),
inference(spt,[spt(split,[position(s2)])],[7]),
[iquote('1:Spt:20.0,7.1')] ).
cnf(25,plain,
( ~ equal(skc2,skc2)
| disjoint(skc2,singleton(skc3)) ),
inference(spl,[status(thm),theory(equality)],[22,6]),
[iquote('1:SpL:22.0,6.0')] ).
cnf(26,plain,
disjoint(skc2,singleton(skc3)),
inference(obv,[status(thm),theory(equality)],[25]),
[iquote('1:Obv:25.0')] ).
cnf(28,plain,
disjoint(singleton(skc3),skc2),
inference(res,[status(thm),theory(equality)],[26,2]),
[iquote('1:Res:26.0,2.0')] ).
cnf(29,plain,
~ in(skc3,skc2),
inference(res,[status(thm),theory(equality)],[28,4]),
[iquote('1:Res:28.0,4.1')] ).
cnf(31,plain,
$false,
inference(mrr,[status(thm)],[29,21]),
[iquote('1:MRR:29.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n021.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 : Sun Jun 19 05:03:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.44
% 0.22/0.44 SPASS V 3.9
% 0.22/0.44 SPASS beiseite: Proof found.
% 0.22/0.44 % SZS status Theorem
% 0.22/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.44 SPASS derived 17 clauses, backtracked 3 clauses, performed 1 splits and kept 20 clauses.
% 0.22/0.44 SPASS allocated 85069 KBytes.
% 0.22/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.22/0.44 0:00:00.03 for the input.
% 0.22/0.44 0:00:00.02 for the FLOTTER CNF translation.
% 0.22/0.44 0:00:00.00 for inferences.
% 0.22/0.44 0:00:00.00 for the backtracking.
% 0.22/0.44 0:00:00.00 for the reduction.
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 Here is a proof with depth 4, length 21 :
% 0.22/0.44 % SZS output start Refutation
% See solution above
% 0.22/0.44 Formulae used in the proof : l28_zfmisc_1 symmetry_r1_xboole_0 l25_zfmisc_1 t83_xboole_1 t65_zfmisc_1
% 0.22/0.44
%------------------------------------------------------------------------------