TSTP Solution File: SET923+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 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 05:29:49 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ equal(skc4,empty_set),
file('SET923+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(singleton(skc5),skc4),
file('SET923+1.p',unknown),
[] ).
cnf(7,axiom,
equal(set_difference(skc4,singleton(skc5)),empty_set),
file('SET923+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ equal(set_difference(u,v),empty_set)
| subset(u,v) ),
file('SET923+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ subset(u,singleton(v))
| equal(u,empty_set)
| equal(u,singleton(v)) ),
file('SET923+1.p',unknown),
[] ).
cnf(14,plain,
( ~ subset(skc4,singleton(skc5))
| equal(skc4,empty_set) ),
inference(res,[status(thm),theory(equality)],[12,6]),
[iquote('0:Res:12.1,6.0')] ).
cnf(15,plain,
subset(skc4,singleton(skc5)),
inference(res,[status(thm),theory(equality)],[7,10]),
[iquote('0:Res:7.0,10.0')] ).
cnf(18,plain,
$false,
inference(mrr,[status(thm)],[14,15,5]),
[iquote('0:MRR:14.0,14.1,15.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 11 09:25:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42
% 0.18/0.42 SPASS V 3.9
% 0.18/0.42 SPASS beiseite: Proof found.
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.18/0.42 SPASS allocated 85080 KBytes.
% 0.18/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.42 0:00:00.03 for the input.
% 0.18/0.42 0:00:00.02 for the FLOTTER CNF translation.
% 0.18/0.42 0:00:00.00 for inferences.
% 0.18/0.42 0:00:00.00 for the backtracking.
% 0.18/0.42 0:00:00.00 for the reduction.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Here is a proof with depth 1, length 8 :
% 0.18/0.42 % SZS output start Refutation
% See solution above
% 0.18/0.42 Formulae used in the proof : t66_zfmisc_1 t37_xboole_1 l4_zfmisc_1
% 0.18/0.42
%------------------------------------------------------------------------------