%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM571+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 14:27:38 EDT 2022
% Result : Theorem 0.76s 0.95s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 20 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
isCountable0(xS),
file('NUM571+3.p',unknown),
[] ).
cnf(12,axiom,
aSubsetOf0(xS,szNzAzT0),
file('NUM571+3.p',unknown),
[] ).
cnf(27,axiom,
equal(sdtlpdtrp0(xN,sz00),xS),
file('NUM571+3.p',unknown),
[] ).
cnf(44,axiom,
( isCountable0(sdtlpdtrp0(xN,xi))
| equal(sz00,xi) ),
file('NUM571+3.p',unknown),
[] ).
cnf(51,axiom,
( equal(sz00,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
file('NUM571+3.p',unknown),
[] ).
cnf(67,axiom,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
file('NUM571+3.p',unknown),
[] ).
cnf(235,plain,
equal(sz00,xi),
inference(spt,[spt(split,[position(s1)])],[44]),
[iquote('1:Spt:44.1')] ).
cnf(241,plain,
equal(sdtlpdtrp0(xN,xi),xS),
inference(rew,[status(thm),theory(equality)],[235,27]),
[iquote('1:Rew:235.0,27.0')] ).
cnf(251,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[241,67]),
[iquote('1:Rew:241.0,67.0')] ).
cnf(252,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[241,251]),
[iquote('1:Rew:241.0,251.1')] ).
cnf(253,plain,
$false,
inference(mrr,[status(thm)],[252,7,12]),
[iquote('1:MRR:252.0,252.1,7.0,12.0')] ).
cnf(258,plain,
~ equal(sz00,xi),
inference(spt,[spt(split,[position(sa)])],[253,235]),
[iquote('1:Spt:253.0,44.1,235.0')] ).
cnf(259,plain,
isCountable0(sdtlpdtrp0(xN,xi)),
inference(spt,[spt(split,[position(s2)])],[44]),
[iquote('1:Spt:253.0,44.0')] ).
cnf(262,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(mrr,[status(thm)],[51,258]),
[iquote('1:MRR:51.0,258.0')] ).
cnf(263,plain,
$false,
inference(mrr,[status(thm)],[67,259,262]),
[iquote('1:MRR:67.0,67.1,259.0,262.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM571+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 : Wed Jul 6 05:38:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.95
% 0.76/0.95 SPASS V 3.9
% 0.76/0.95 SPASS beiseite: Proof found.
% 0.76/0.95 % SZS status Theorem
% 0.76/0.95 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95 SPASS derived 18 clauses, backtracked 21 clauses, performed 2 splits and kept 259 clauses.
% 0.76/0.95 SPASS allocated 102582 KBytes.
% 0.76/0.95 SPASS spent 0:00:00.61 on the problem.
% 0.76/0.95 0:00:00.04 for the input.
% 0.76/0.95 0:00:00.51 for the FLOTTER CNF translation.
% 0.76/0.95 0:00:00.00 for inferences.
% 0.76/0.95 0:00:00.00 for the backtracking.
% 0.76/0.95 0:00:00.03 for the reduction.
% 0.76/0.95
% 0.76/0.95
% 0.76/0.95 Here is a proof with depth 1, length 15 :
% 0.76/0.95 % SZS output start Refutation
% See solution above
% 0.76/0.95 Formulae used in the proof : m__3435 m__3623 m__3702_02 m__3702 m__
% 0.76/0.95
%------------------------------------------------------------------------------