%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET933+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 05:29:55 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
subset(u,u),
file('SET933+1.p',unknown),
[] ).
cnf(4,axiom,
~ subset(singleton(skc3),powerset(skc3)),
file('SET933+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ in(u,v)
| subset(singleton(u),v) ),
file('SET933+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ subset(u,v)
| ~ equal(w,powerset(v))
| in(u,w) ),
file('SET933+1.p',unknown),
[] ).
cnf(12,plain,
~ in(skc3,powerset(skc3)),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('0:Res:7.1,4.0')] ).
cnf(21,plain,
( ~ subset(u,v)
| in(u,powerset(v)) ),
inference(eqr,[status(thm),theory(equality)],[10]),
[iquote('0:EqR:10.1')] ).
cnf(22,plain,
~ subset(skc3,skc3),
inference(res,[status(thm),theory(equality)],[21,12]),
[iquote('0:Res:21.1,12.0')] ).
cnf(26,plain,
$false,
inference(mrr,[status(thm)],[22,3]),
[iquote('0:MRR:22.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET933+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 9 17:06:41 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.46
% 0.21/0.46 SPASS V 3.9
% 0.21/0.46 SPASS beiseite: Proof found.
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.21/0.46 SPASS allocated 85115 KBytes.
% 0.21/0.46 SPASS spent 0:00:00.08 on the problem.
% 0.21/0.46 0:00:00.03 for the input.
% 0.21/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.46 0:00:00.00 for inferences.
% 0.21/0.46 0:00:00.00 for the backtracking.
% 0.21/0.46 0:00:00.00 for the reduction.
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 Here is a proof with depth 2, length 8 :
% 0.21/0.46 % SZS output start Refutation
% See solution above
% 0.21/0.46 Formulae used in the proof : reflexivity_r1_tarski t80_zfmisc_1 l2_zfmisc_1 d1_zfmisc_1
% 0.21/0.46
%------------------------------------------------------------------------------