TSTP Solution File: NUM582+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 : Mon Jul 18 14:27:46 EDT 2022
% Result : Theorem 1.22s 1.38s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 6 unt; 0 nHn; 19 RR)
% Number of literals : 47 ( 0 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
aSet0(xS),
file('NUM582+3.p',unknown),
[] ).
cnf(11,axiom,
aElementOf0(sz00,szNzAzT0),
file('NUM582+3.p',unknown),
[] ).
cnf(15,axiom,
aElementOf0(xi,szNzAzT0),
file('NUM582+3.p',unknown),
[] ).
cnf(31,axiom,
equal(sdtlpdtrp0(xN,sz00),xS),
file('NUM582+3.p',unknown),
[] ).
cnf(32,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('NUM582+3.p',unknown),
[] ).
cnf(42,axiom,
( ~ aElementOf0(u,szNzAzT0)
| sdtlseqdt0(sz00,u) ),
file('NUM582+3.p',unknown),
[] ).
cnf(60,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM582+3.p',unknown),
[] ).
cnf(165,axiom,
( ~ sdtlseqdt0(u,v)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,v),sdtlpdtrp0(xN,u)) ),
file('NUM582+3.p',unknown),
[] ).
cnf(181,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aSubsetOf0(u,v)
| ~ aSubsetOf0(v,w)
| aSubsetOf0(u,w) ),
file('NUM582+3.p',unknown),
[] ).
cnf(249,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(mrr,[status(thm)],[181,60]),
[iquote('0:MRR:181.0,181.1,60.2,60.2')] ).
cnf(305,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),u)
| ~ aSubsetOf0(u,xS) ),
inference(res,[status(thm),theory(equality)],[249,32]),
[iquote('0:Res:249.3,32.0')] ).
cnf(315,plain,
( ~ aSubsetOf0(u,xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),u) ),
inference(mrr,[status(thm)],[305,6]),
[iquote('0:MRR:305.0,6.0')] ).
cnf(5078,plain,
( ~ sdtlseqdt0(sz00,u)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(spr,[status(thm),theory(equality)],[31,165]),
[iquote('0:SpR:31.0,165.3')] ).
cnf(5084,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(res,[status(thm),theory(equality)],[165,315]),
[iquote('0:Res:165.3,315.1')] ).
cnf(5085,plain,
( ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(mrr,[status(thm)],[5078,42,11]),
[iquote('0:MRR:5078.0,5078.1,42.1,11.0')] ).
cnf(5087,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(mrr,[status(thm)],[5084,15]),
[iquote('0:MRR:5084.2,15.0')] ).
cnf(5088,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0) ),
inference(mrr,[status(thm)],[5087,5085]),
[iquote('0:MRR:5087.2,5085.1')] ).
cnf(5093,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[42,5088]),
[iquote('0:Res:42.1,5088.0')] ).
cnf(5103,plain,
$false,
inference(mrr,[status(thm)],[5093,15,11]),
[iquote('0:MRR:5093.0,5093.1,15.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 : Thu Jul 7 11:42:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.22/1.38
% 1.22/1.38 SPASS V 3.9
% 1.22/1.38 SPASS beiseite: Proof found.
% 1.22/1.38 % SZS status Theorem
% 1.22/1.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.38 SPASS derived 3749 clauses, backtracked 495 clauses, performed 15 splits and kept 2097 clauses.
% 1.22/1.38 SPASS allocated 102572 KBytes.
% 1.22/1.38 SPASS spent 0:00:01.01 on the problem.
% 1.22/1.38 0:00:00.04 for the input.
% 1.22/1.38 0:00:00.36 for the FLOTTER CNF translation.
% 1.22/1.38 0:00:00.05 for inferences.
% 1.22/1.38 0:00:00.01 for the backtracking.
% 1.22/1.38 0:00:00.49 for the reduction.
% 1.22/1.38
% 1.22/1.38
% 1.22/1.38 Here is a proof with depth 3, length 19 :
% 1.22/1.38 % SZS output start Refutation
% See solution above
% 1.22/1.38 Formulae used in the proof : m__3435 mZeroNum m__3989 m__3623 m__ mZeroLess mDefSub m__3754 mSubTrans
% 1.22/1.38
%------------------------------------------------------------------------------