%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM548+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:27:22 EDT 2022
% Result : Theorem 1.52s 1.70s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 10 unt; 0 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
aSet0(xS),
file('NUM548+1.p',unknown),
[] ).
cnf(6,axiom,
~ isFinite0(xQ),
file('NUM548+1.p',unknown),
[] ).
cnf(8,axiom,
aElementOf0(xk,szNzAzT0),
file('NUM548+1.p',unknown),
[] ).
cnf(14,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('NUM548+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM548+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ aSet0(u)
| ~ aElementOf0(sbrdtbr0(u),szNzAzT0)
| isFinite0(u) ),
file('NUM548+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| aSubsetOf0(v,u) ),
file('NUM548+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| equal(sbrdtbr0(v),x) ),
file('NUM548+1.p',unknown),
[] ).
cnf(125,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[40,6]),
[iquote('0:Res:40.2,6.0')] ).
cnf(1766,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,slbdtsldtrb0(u,w))
| ~ aElementOf0(w,szNzAzT0)
| aSubsetOf0(v,u) ),
inference(eqr,[status(thm),theory(equality)],[84]),
[iquote('0:EqR:84.3')] ).
cnf(2181,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,slbdtsldtrb0(u,w))
| ~ aElementOf0(w,szNzAzT0)
| equal(sbrdtbr0(v),w) ),
inference(eqr,[status(thm),theory(equality)],[93]),
[iquote('0:EqR:93.3')] ).
cnf(3953,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(xQ,xS) ),
inference(res,[status(thm),theory(equality)],[14,1766]),
[iquote('0:Res:14.0,1766.1')] ).
cnf(3955,plain,
( ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(xQ,xS) ),
inference(ssi,[status(thm)],[3953,4]),
[iquote('0:SSi:3953.0,4.0')] ).
cnf(3956,plain,
aSubsetOf0(xQ,xS),
inference(mrr,[status(thm)],[3955,8]),
[iquote('0:MRR:3955.0,8.0')] ).
cnf(3980,plain,
( ~ aSet0(xS)
| aSet0(xQ) ),
inference(res,[status(thm),theory(equality)],[3956,33]),
[iquote('0:Res:3956.0,33.1')] ).
cnf(3983,plain,
aSet0(xQ),
inference(ssi,[status(thm)],[3980,4]),
[iquote('0:SSi:3980.0,4.0')] ).
cnf(3985,plain,
~ aElementOf0(sbrdtbr0(xQ),szNzAzT0),
inference(mrr,[status(thm)],[125,3983]),
[iquote('0:MRR:125.0,3983.0')] ).
cnf(5418,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0)
| equal(sbrdtbr0(xQ),xk) ),
inference(res,[status(thm),theory(equality)],[14,2181]),
[iquote('0:Res:14.0,2181.1')] ).
cnf(5420,plain,
( ~ aElementOf0(xk,szNzAzT0)
| equal(sbrdtbr0(xQ),xk) ),
inference(ssi,[status(thm)],[5418,4]),
[iquote('0:SSi:5418.0,4.0')] ).
cnf(5421,plain,
equal(sbrdtbr0(xQ),xk),
inference(mrr,[status(thm)],[5420,8]),
[iquote('0:MRR:5420.0,8.0')] ).
cnf(5422,plain,
~ aElementOf0(xk,szNzAzT0),
inference(rew,[status(thm),theory(equality)],[5421,3985]),
[iquote('0:Rew:5421.0,3985.0')] ).
cnf(5423,plain,
$false,
inference(mrr,[status(thm)],[5422,8]),
[iquote('0:MRR:5422.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM548+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 23:18:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.52/1.70
% 1.52/1.70 SPASS V 3.9
% 1.52/1.70 SPASS beiseite: Proof found.
% 1.52/1.70 % SZS status Theorem
% 1.52/1.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.70 SPASS derived 4045 clauses, backtracked 249 clauses, performed 9 splits and kept 1736 clauses.
% 1.52/1.70 SPASS allocated 102377 KBytes.
% 1.52/1.70 SPASS spent 0:00:01.30 on the problem.
% 1.52/1.70 0:00:00.04 for the input.
% 1.52/1.70 0:00:00.11 for the FLOTTER CNF translation.
% 1.52/1.70 0:00:00.08 for inferences.
% 1.52/1.70 0:00:00.01 for the backtracking.
% 1.52/1.70 0:00:01.03 for the reduction.
% 1.52/1.70
% 1.52/1.70
% 1.52/1.70 Here is a proof with depth 3, length 22 :
% 1.52/1.70 % SZS output start Refutation
% See solution above
% 1.52/1.70 Formulae used in the proof : m__2202_02 m__ m__2202 m__2270 mDefSub mCardNum mDefSel
% 1.52/1.70
%------------------------------------------------------------------------------