TSTP Solution File: SEU154+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 14:34:26 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 3 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
~ in(skc4,skc5),
file('SEU154+2.p',unknown),
[] ).
cnf(8,axiom,
~ disjoint(singleton(skc4),skc5),
file('SEU154+2.p',unknown),
[] ).
cnf(11,axiom,
~ equal(singleton(u),empty_set),
file('SEU154+2.p',unknown),
[] ).
cnf(31,axiom,
( ~ disjoint(u,v)
| disjoint(v,u) ),
file('SEU154+2.p',unknown),
[] ).
cnf(42,axiom,
( disjoint(u,v)
| in(skf20(v,u),u) ),
file('SEU154+2.p',unknown),
[] ).
cnf(43,axiom,
( disjoint(u,v)
| in(skf20(v,w),v) ),
file('SEU154+2.p',unknown),
[] ).
cnf(48,axiom,
( ~ in(u,v)
| ~ disjoint(singleton(u),v) ),
file('SEU154+2.p',unknown),
[] ).
cnf(76,axiom,
( ~ in(u,v)
| ~ equal(v,singleton(w))
| equal(u,w) ),
file('SEU154+2.p',unknown),
[] ).
cnf(77,axiom,
( ~ equal(u,v)
| ~ equal(w,singleton(v))
| in(u,w) ),
file('SEU154+2.p',unknown),
[] ).
cnf(139,plain,
~ disjoint(skc5,singleton(skc4)),
inference(res,[status(thm),theory(equality)],[31,8]),
[iquote('0:Res:31.1,8.0')] ).
cnf(278,plain,
( ~ in(u,v)
| in(skf20(v,w),v) ),
inference(res,[status(thm),theory(equality)],[43,48]),
[iquote('0:Res:43.0,48.1')] ).
cnf(936,plain,
( ~ equal(u,v)
| in(u,singleton(v)) ),
inference(eqr,[status(thm),theory(equality)],[77]),
[iquote('0:EqR:77.1')] ).
cnf(944,plain,
( ~ equal(u,v)
| in(skf20(singleton(v),w),singleton(v)) ),
inference(res,[status(thm),theory(equality)],[936,278]),
[iquote('0:Res:936.1,278.0')] ).
cnf(952,plain,
in(skf20(singleton(u),v),singleton(u)),
inference(aed,[status(thm),theory(equality)],[11,944]),
[iquote('0:AED:11.0,944.0')] ).
cnf(954,plain,
( ~ in(u,singleton(v))
| equal(u,v) ),
inference(eqr,[status(thm),theory(equality)],[76]),
[iquote('0:EqR:76.1')] ).
cnf(1014,plain,
equal(skf20(singleton(u),v),u),
inference(res,[status(thm),theory(equality)],[952,954]),
[iquote('0:Res:952.0,954.0')] ).
cnf(1058,plain,
( disjoint(u,singleton(v))
| in(v,u) ),
inference(spr,[status(thm),theory(equality)],[1014,42]),
[iquote('0:SpR:1014.0,42.1')] ).
cnf(1114,plain,
in(skc4,skc5),
inference(res,[status(thm),theory(equality)],[1058,139]),
[iquote('0:Res:1058.0,139.0')] ).
cnf(1119,plain,
$false,
inference(mrr,[status(thm)],[1114,6]),
[iquote('0:MRR:1114.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 03:30:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.57
% 0.19/0.57 SPASS V 3.9
% 0.19/0.57 SPASS beiseite: Proof found.
% 0.19/0.57 % SZS status Theorem
% 0.19/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57 SPASS derived 874 clauses, backtracked 0 clauses, performed 0 splits and kept 351 clauses.
% 0.19/0.57 SPASS allocated 99272 KBytes.
% 0.19/0.57 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.57 0:00:00.03 for the input.
% 0.19/0.57 0:00:00.11 for the FLOTTER CNF translation.
% 0.19/0.57 0:00:00.01 for inferences.
% 0.19/0.57 0:00:00.00 for the backtracking.
% 0.19/0.57 0:00:00.04 for the reduction.
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 Here is a proof with depth 5, length 19 :
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 Formulae used in the proof : l28_zfmisc_1 l1_zfmisc_1 symmetry_r1_xboole_0 t3_xboole_0 l25_zfmisc_1 d1_tarski
% 0.19/0.57
%------------------------------------------------------------------------------