TSTP Solution File: NUM456+6 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM456+6 : 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 14:26:23 EDT 2022
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 6 unt; 3 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
~ equal(skc42,sz10),
file('NUM456+6.p',unknown),
[] ).
cnf(30,axiom,
equal(stldt0(sbsmnsldt0(xS)),cS2076),
file('NUM456+6.p',unknown),
[] ).
cnf(31,axiom,
aElementOf0(skc42,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
file('NUM456+6.p',unknown),
[] ).
cnf(32,axiom,
~ equal(smndt0(sz10),skc42),
file('NUM456+6.p',unknown),
[] ).
cnf(99,axiom,
( ~ aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(u,stldt0(sbsmnsldt0(xS))) ),
file('NUM456+6.p',unknown),
[] ).
cnf(111,axiom,
( ~ aElementOf0(u,stldt0(sbsmnsldt0(xS)))
| equal(u,sz10)
| equal(u,smndt0(sz10)) ),
file('NUM456+6.p',unknown),
[] ).
cnf(217,plain,
( ~ aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(u,cS2076) ),
inference(rew,[status(thm),theory(equality)],[30,99]),
[iquote('0:Rew:30.0,99.1')] ).
cnf(228,plain,
( ~ aElementOf0(u,cS2076)
| equal(u,sz10)
| equal(u,smndt0(sz10)) ),
inference(rew,[status(thm),theory(equality)],[30,111]),
[iquote('0:Rew:30.0,111.0')] ).
cnf(433,plain,
aElementOf0(skc42,cS2076),
inference(res,[status(thm),theory(equality)],[31,217]),
[iquote('0:Res:31.0,217.0')] ).
cnf(819,plain,
( equal(skc42,sz10)
| equal(smndt0(sz10),skc42) ),
inference(res,[status(thm),theory(equality)],[433,228]),
[iquote('0:Res:433.0,228.0')] ).
cnf(827,plain,
$false,
inference(mrr,[status(thm)],[819,28,32]),
[iquote('0:MRR:819.0,819.1,28.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM456+6 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % 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 : Thu Jul 7 14:50:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.61/0.78
% 0.61/0.78 SPASS V 3.9
% 0.61/0.78 SPASS beiseite: Proof found.
% 0.61/0.78 % SZS status Theorem
% 0.61/0.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 SPASS derived 435 clauses, backtracked 69 clauses, performed 29 splits and kept 557 clauses.
% 0.61/0.78 SPASS allocated 100948 KBytes.
% 0.61/0.78 SPASS spent 0:00:00.42 on the problem.
% 0.61/0.78 0:00:00.03 for the input.
% 0.61/0.78 0:00:00.24 for the FLOTTER CNF translation.
% 0.61/0.78 0:00:00.01 for inferences.
% 0.61/0.78 0:00:00.00 for the backtracking.
% 0.61/0.78 0:00:00.11 for the reduction.
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 Here is a proof with depth 2, length 11 :
% 0.61/0.78 % SZS output start Refutation
% See solution above
% 0.61/0.78 Formulae used in the proof : m__2203 m__2079 m__2171
% 0.61/0.78
%------------------------------------------------------------------------------