TSTP Solution File: SET060-7 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET060-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:23:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% 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 : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 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(11,axiom,
member(y__dfg,intersection(complement(x__dfg),x__dfg)),
file('SET060-7.p',unknown),
[] ).
cnf(32,axiom,
( ~ member(u,intersection(v,w))
| member(u,v) ),
file('SET060-7.p',unknown),
[] ).
cnf(33,axiom,
( ~ member(u,intersection(v,w))
| member(u,w) ),
file('SET060-7.p',unknown),
[] ).
cnf(35,axiom,
( ~ member(u,v)
| ~ member(u,complement(v)) ),
file('SET060-7.p',unknown),
[] ).
cnf(110,plain,
member(y__dfg,complement(x__dfg)),
inference(res,[status(thm),theory(equality)],[11,32]),
[iquote('0:Res:11.0,32.0')] ).
cnf(111,plain,
member(y__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[11,33]),
[iquote('0:Res:11.0,33.0')] ).
cnf(136,plain,
~ member(y__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[110,35]),
[iquote('0:Res:110.0,35.1')] ).
cnf(139,plain,
$false,
inference(mrr,[status(thm)],[136,111]),
[iquote('0:MRR:136.0,111.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET060-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : Sun Jul 10 02:02:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 28 clauses, backtracked 0 clauses, performed 0 splits and kept 114 clauses.
% 0.19/0.43 SPASS allocated 75781 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 8 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : prove_special_classes_lemma_1 intersection1 intersection2 complement1
% 0.19/0.43
%------------------------------------------------------------------------------