TSTP Solution File: NUM571+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 0.46s 0.68s
% Output : Refutation 0.46s
% 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(6,axiom,
isCountable0(xS),
file('NUM571+1.p',unknown),
[] ).
cnf(11,axiom,
aSubsetOf0(xS,szNzAzT0),
file('NUM571+1.p',unknown),
[] ).
cnf(24,axiom,
equal(sdtlpdtrp0(xN,sz00),xS),
file('NUM571+1.p',unknown),
[] ).
cnf(38,axiom,
( isCountable0(sdtlpdtrp0(xN,xi))
| equal(sz00,xi) ),
file('NUM571+1.p',unknown),
[] ).
cnf(44,axiom,
( equal(sz00,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
file('NUM571+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
file('NUM571+1.p',unknown),
[] ).
cnf(177,plain,
equal(sz00,xi),
inference(spt,[spt(split,[position(s1)])],[38]),
[iquote('1:Spt:38.1')] ).
cnf(183,plain,
equal(sdtlpdtrp0(xN,xi),xS),
inference(rew,[status(thm),theory(equality)],[177,24]),
[iquote('1:Rew:177.0,24.0')] ).
cnf(190,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[183,56]),
[iquote('1:Rew:183.0,56.0')] ).
cnf(191,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[183,190]),
[iquote('1:Rew:183.0,190.1')] ).
cnf(192,plain,
$false,
inference(mrr,[status(thm)],[191,6,11]),
[iquote('1:MRR:191.0,191.1,6.0,11.0')] ).
cnf(193,plain,
~ equal(sz00,xi),
inference(spt,[spt(split,[position(sa)])],[192,177]),
[iquote('1:Spt:192.0,38.1,177.0')] ).
cnf(194,plain,
isCountable0(sdtlpdtrp0(xN,xi)),
inference(spt,[spt(split,[position(s2)])],[38]),
[iquote('1:Spt:192.0,38.0')] ).
cnf(196,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(mrr,[status(thm)],[44,193]),
[iquote('1:MRR:44.0,193.0')] ).
cnf(197,plain,
$false,
inference(mrr,[status(thm)],[56,194,196]),
[iquote('1:MRR:56.0,56.1,194.0,196.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.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 15:11:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/0.68
% 0.46/0.68 SPASS V 3.9
% 0.46/0.68 SPASS beiseite: Proof found.
% 0.46/0.68 % SZS status Theorem
% 0.46/0.68 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.68 SPASS derived 14 clauses, backtracked 17 clauses, performed 1 splits and kept 195 clauses.
% 0.46/0.68 SPASS allocated 100986 KBytes.
% 0.46/0.68 SPASS spent 0:00:00.33 on the problem.
% 0.46/0.68 0:00:00.04 for the input.
% 0.46/0.68 0:00:00.24 for the FLOTTER CNF translation.
% 0.46/0.68 0:00:00.00 for inferences.
% 0.46/0.68 0:00:00.00 for the backtracking.
% 0.46/0.68 0:00:00.02 for the reduction.
% 0.46/0.68
% 0.46/0.68
% 0.46/0.68 Here is a proof with depth 1, length 15 :
% 0.46/0.68 % SZS output start Refutation
% See solution above
% 0.46/0.68 Formulae used in the proof : m__3435 m__3623 m__3702_02 m__3702 m__
% 0.46/0.68
%------------------------------------------------------------------------------