%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 20:41:19 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
aVector0(sziznziztdt0(xs)),
file('RNG047+2.p',unknown),
[] ).
cnf(6,axiom,
aVector0(sziznziztdt0(xt)),
file('RNG047+2.p',unknown),
[] ).
cnf(9,axiom,
equal(aDimensionOf0(xt),aDimensionOf0(xs)),
file('RNG047+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ aVector0(u)
| aNaturalNumber0(aDimensionOf0(u)) ),
file('RNG047+2.p',unknown),
[] ).
cnf(15,axiom,
equal(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),aDimensionOf0(xs)),
file('RNG047+2.p',unknown),
[] ).
cnf(16,axiom,
equal(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),aDimensionOf0(xt)),
file('RNG047+2.p',unknown),
[] ).
cnf(19,axiom,
~ equal(aDimensionOf0(sziznziztdt0(xt)),aDimensionOf0(sziznziztdt0(xs))),
file('RNG047+2.p',unknown),
[] ).
cnf(39,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ equal(szszuzczcdt0(v),szszuzczcdt0(u))
| equal(v,u) ),
file('RNG047+2.p',unknown),
[] ).
cnf(59,plain,
equal(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),aDimensionOf0(xs)),
inference(rew,[status(thm),theory(equality)],[9,16]),
[iquote('0:Rew:9.0,16.0')] ).
cnf(333,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| ~ equal(aDimensionOf0(xs),szszuzczcdt0(u))
| equal(aDimensionOf0(sziznziztdt0(xt)),u) ),
inference(spl,[status(thm),theory(equality)],[59,39]),
[iquote('0:SpL:59.0,39.2')] ).
cnf(339,plain,
( ~ aNaturalNumber0(u)
| ~ equal(aDimensionOf0(xs),szszuzczcdt0(u))
| equal(aDimensionOf0(sziznziztdt0(xt)),u) ),
inference(ssi,[status(thm)],[333,14,6]),
[iquote('0:SSi:333.1,14.0,6.1')] ).
cnf(343,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ equal(aDimensionOf0(xs),aDimensionOf0(xs))
| equal(aDimensionOf0(sziznziztdt0(xt)),aDimensionOf0(sziznziztdt0(xs))) ),
inference(spl,[status(thm),theory(equality)],[15,339]),
[iquote('0:SpL:15.0,339.1')] ).
cnf(345,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| equal(aDimensionOf0(sziznziztdt0(xt)),aDimensionOf0(sziznziztdt0(xs))) ),
inference(obv,[status(thm),theory(equality)],[343]),
[iquote('0:Obv:343.1')] ).
cnf(346,plain,
equal(aDimensionOf0(sziznziztdt0(xt)),aDimensionOf0(sziznziztdt0(xs))),
inference(ssi,[status(thm)],[345,14,5]),
[iquote('0:SSi:345.0,14.0,5.1')] ).
cnf(347,plain,
$false,
inference(mrr,[status(thm)],[346,19]),
[iquote('0:MRR:346.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 19:18:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 164 clauses, backtracked 0 clauses, performed 0 splits and kept 90 clauses.
% 0.20/0.49 SPASS allocated 97904 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.49 0:00:00.04 for the input.
% 0.20/0.49 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.01 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 2, length 15 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : m__ m__1329_01 mDimNat mSuccEqu
% 0.20/0.49
%------------------------------------------------------------------------------