%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM603+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 14:27:59 EDT 2022
% Result : Theorem 2.00s 2.20s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 7 unt; 0 nHn; 21 RR)
% Number of literals : 50 ( 0 equ; 37 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('NUM603+3.p',unknown),
[] ).
cnf(16,axiom,
aElementOf0(sz00,szNzAzT0),
file('NUM603+3.p',unknown),
[] ).
cnf(22,axiom,
aElementOf0(xi,szNzAzT0),
file('NUM603+3.p',unknown),
[] ).
cnf(44,axiom,
equal(sdtlpdtrp0(xN,sz00),xS),
file('NUM603+3.p',unknown),
[] ).
cnf(51,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('NUM603+3.p',unknown),
[] ).
cnf(65,axiom,
( ~ aElementOf0(u,szNzAzT0)
| sdtlseqdt0(sz00,u) ),
file('NUM603+3.p',unknown),
[] ).
cnf(66,axiom,
( ~ aElementOf0(u,szNzAzT0)
| sdtlseqdt0(u,u) ),
file('NUM603+3.p',unknown),
[] ).
cnf(84,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM603+3.p',unknown),
[] ).
cnf(229,axiom,
( ~ sdtlseqdt0(u,v)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,v),sdtlpdtrp0(xN,u)) ),
file('NUM603+3.p',unknown),
[] ).
cnf(259,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aSubsetOf0(u,v)
| ~ aSubsetOf0(v,w)
| aSubsetOf0(u,w) ),
file('NUM603+3.p',unknown),
[] ).
cnf(418,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(mrr,[status(thm)],[259,84]),
[iquote('0:MRR:259.0,259.1,84.2,84.2')] ).
cnf(518,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),u)
| ~ aSubsetOf0(u,xS) ),
inference(res,[status(thm),theory(equality)],[418,51]),
[iquote('0:Res:418.3,51.0')] ).
cnf(530,plain,
( ~ aSubsetOf0(u,xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),u) ),
inference(mrr,[status(thm)],[518,6]),
[iquote('0:MRR:518.0,6.0')] ).
cnf(5674,plain,
( ~ sdtlseqdt0(sz00,u)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(spr,[status(thm),theory(equality)],[44,229]),
[iquote('0:SpR:44.0,229.3')] ).
cnf(5676,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(res,[status(thm),theory(equality)],[229,530]),
[iquote('0:Res:229.3,530.1')] ).
cnf(5681,plain,
( ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(mrr,[status(thm)],[5674,65,16]),
[iquote('0:MRR:5674.0,5674.1,65.1,16.0')] ).
cnf(5683,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(mrr,[status(thm)],[5676,22]),
[iquote('0:MRR:5676.2,22.0')] ).
cnf(5684,plain,
( ~ sdtlseqdt0(u,xi)
| ~ aElementOf0(u,szNzAzT0) ),
inference(mrr,[status(thm)],[5683,5681]),
[iquote('0:MRR:5683.2,5681.1')] ).
cnf(5689,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[66,5684]),
[iquote('0:Res:66.1,5684.0')] ).
cnf(5694,plain,
~ aElementOf0(xi,szNzAzT0),
inference(obv,[status(thm),theory(equality)],[5689]),
[iquote('0:Obv:5689.0')] ).
cnf(5695,plain,
$false,
inference(mrr,[status(thm)],[5694,22]),
[iquote('0:MRR:5694.0,22.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM603+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n020.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 00:08:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.00/2.20
% 2.00/2.20 SPASS V 3.9
% 2.00/2.20 SPASS beiseite: Proof found.
% 2.00/2.20 % SZS status Theorem
% 2.00/2.20 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/2.20 SPASS derived 3933 clauses, backtracked 648 clauses, performed 18 splits and kept 3015 clauses.
% 2.00/2.20 SPASS allocated 104656 KBytes.
% 2.00/2.20 SPASS spent 0:00:01.81 on the problem.
% 2.00/2.20 0:00:00.04 for the input.
% 2.00/2.20 0:00:00.68 for the FLOTTER CNF translation.
% 2.00/2.20 0:00:00.06 for inferences.
% 2.00/2.20 0:00:00.03 for the backtracking.
% 2.00/2.20 0:00:00.92 for the reduction.
% 2.00/2.20
% 2.00/2.20
% 2.00/2.20 Here is a proof with depth 3, length 21 :
% 2.00/2.20 % SZS output start Refutation
% See solution above
% 2.00/2.20 Formulae used in the proof : m__3435 mZeroNum m__5034 m__3623 m__ mZeroLess mLessRefl mDefSub m__3754 mSubTrans
% 2.00/2.20
%------------------------------------------------------------------------------