TSTP Solution File: SET797+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% 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 05:28:44 EDT 2022
% Result : Theorem 0.45s 0.64s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 1 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
subset(skc8,skc7),
file('SET797+4.p',unknown),
[] ).
cnf(5,axiom,
upper_bound(skc9,skc5,skc7),
file('SET797+4.p',unknown),
[] ).
cnf(7,axiom,
~ upper_bound(skc9,skc5,skc8),
file('SET797+4.p',unknown),
[] ).
cnf(40,axiom,
( member(skf30(u,v,w),u)
| upper_bound(x,y,u) ),
file('SET797+4.p',unknown),
[] ).
cnf(44,axiom,
( ~ member(u,v)
| ~ subset(v,w)
| member(u,w) ),
file('SET797+4.p',unknown),
[] ).
cnf(58,axiom,
( ~ apply(u,skf30(v,w,u),w)
| upper_bound(w,u,v) ),
file('SET797+4.p',unknown),
[] ).
cnf(61,axiom,
( ~ member(u,v)
| ~ upper_bound(w,x,v)
| apply(x,u,w) ),
file('SET797+4.p',unknown),
[] ).
cnf(108,plain,
( ~ member(u,skc8)
| member(u,skc7) ),
inference(res,[status(thm),theory(equality)],[2,44]),
[iquote('0:Res:2.0,44.0')] ).
cnf(117,plain,
( ~ member(u,skc7)
| apply(skc5,u,skc9) ),
inference(res,[status(thm),theory(equality)],[5,61]),
[iquote('0:Res:5.0,61.0')] ).
cnf(121,plain,
~ apply(skc5,skf30(skc8,skc9,skc5),skc9),
inference(res,[status(thm),theory(equality)],[58,7]),
[iquote('0:Res:58.1,7.0')] ).
cnf(122,plain,
member(skf30(skc8,u,v),skc8),
inference(res,[status(thm),theory(equality)],[40,7]),
[iquote('0:Res:40.1,7.0')] ).
cnf(125,plain,
member(skf30(skc8,u,v),skc7),
inference(res,[status(thm),theory(equality)],[122,108]),
[iquote('0:Res:122.0,108.0')] ).
cnf(140,plain,
~ member(skf30(skc8,skc9,skc5),skc7),
inference(res,[status(thm),theory(equality)],[117,121]),
[iquote('0:Res:117.1,121.0')] ).
cnf(141,plain,
$false,
inference(mrr,[status(thm)],[140,125]),
[iquote('0:MRR:140.0,125.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 : Sat Jul 9 23:06:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.64
% 0.45/0.64 SPASS V 3.9
% 0.45/0.64 SPASS beiseite: Proof found.
% 0.45/0.64 % SZS status Theorem
% 0.45/0.64 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.64 SPASS derived 45 clauses, backtracked 0 clauses, performed 1 splits and kept 126 clauses.
% 0.45/0.64 SPASS allocated 88340 KBytes.
% 0.45/0.64 SPASS spent 0:00:00.29 on the problem.
% 0.45/0.64 0:00:00.04 for the input.
% 0.45/0.64 0:00:00.22 for the FLOTTER CNF translation.
% 0.45/0.64 0:00:00.00 for inferences.
% 0.45/0.64 0:00:00.00 for the backtracking.
% 0.45/0.64 0:00:00.00 for the reduction.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 Here is a proof with depth 2, length 14 :
% 0.45/0.64 % SZS output start Refutation
% See solution above
% 0.45/0.64 Formulae used in the proof : thIV9 upper_bound subset
% 0.45/0.64
%------------------------------------------------------------------------------