%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG052+2 : 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 20:41:20 EDT 2022
% Result : Theorem 0.47s 0.67s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 26 RR)
% Number of literals : 56 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
aVector0(xp),
file('RNG052+2.p',unknown),
[] ).
cnf(6,axiom,
aVector0(xq),
file('RNG052+2.p',unknown),
[] ).
cnf(23,axiom,
equal(aDimensionOf0(xt),aDimensionOf0(xs)),
file('RNG052+2.p',unknown),
[] ).
cnf(25,axiom,
equal(sdtasasdt0(xp,xp),xC),
file('RNG052+2.p',unknown),
[] ).
cnf(26,axiom,
equal(sdtasasdt0(xq,xq),xD),
file('RNG052+2.p',unknown),
[] ).
cnf(27,axiom,
equal(sdtasasdt0(xp,xq),xE),
file('RNG052+2.p',unknown),
[] ).
cnf(38,axiom,
( ~ aVector0(u)
| aNaturalNumber0(aDimensionOf0(u)) ),
file('RNG052+2.p',unknown),
[] ).
cnf(39,axiom,
equal(szszuzczcdt0(aDimensionOf0(xp)),aDimensionOf0(xs)),
file('RNG052+2.p',unknown),
[] ).
cnf(40,axiom,
equal(szszuzczcdt0(aDimensionOf0(xq)),aDimensionOf0(xt)),
file('RNG052+2.p',unknown),
[] ).
cnf(43,axiom,
( ~ aNaturalNumber0(u)
| iLess0(u,szszuzczcdt0(u)) ),
file('RNG052+2.p',unknown),
[] ).
cnf(45,axiom,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('RNG052+2.p',unknown),
[] ).
cnf(66,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ equal(szszuzczcdt0(v),szszuzczcdt0(u))
| equal(v,u) ),
file('RNG052+2.p',unknown),
[] ).
cnf(86,axiom,
( ~ aVector0(u)
| ~ aVector0(v)
| ~ equal(aDimensionOf0(v),aDimensionOf0(u))
| ~ iLess0(aDimensionOf0(v),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(v,u),sdtasasdt0(v,u)),sdtasdt0(sdtasasdt0(v,v),sdtasasdt0(u,u))) ),
file('RNG052+2.p',unknown),
[] ).
cnf(91,plain,
equal(szszuzczcdt0(aDimensionOf0(xq)),aDimensionOf0(xs)),
inference(rew,[status(thm),theory(equality)],[23,40]),
[iquote('0:Rew:23.0,40.0')] ).
cnf(134,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
inference(spr,[status(thm),theory(equality)],[39,43]),
[iquote('0:SpR:39.0,43.1')] ).
cnf(136,plain,
iLess0(aDimensionOf0(xp),aDimensionOf0(xs)),
inference(ssi,[status(thm)],[134,38,5]),
[iquote('0:SSi:134.0,38.0,5.1')] ).
cnf(423,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ equal(aDimensionOf0(xs),szszuzczcdt0(u))
| equal(aDimensionOf0(xq),u) ),
inference(spl,[status(thm),theory(equality)],[91,66]),
[iquote('0:SpL:91.0,66.2')] ).
cnf(429,plain,
( ~ aNaturalNumber0(u)
| ~ equal(aDimensionOf0(xs),szszuzczcdt0(u))
| equal(aDimensionOf0(xq),u) ),
inference(ssi,[status(thm)],[423,38,6]),
[iquote('0:SSi:423.1,38.0,6.1')] ).
cnf(438,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ equal(aDimensionOf0(xs),aDimensionOf0(xs))
| equal(aDimensionOf0(xq),aDimensionOf0(xp)) ),
inference(spl,[status(thm),theory(equality)],[39,429]),
[iquote('0:SpL:39.0,429.1')] ).
cnf(440,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| equal(aDimensionOf0(xq),aDimensionOf0(xp)) ),
inference(obv,[status(thm),theory(equality)],[438]),
[iquote('0:Obv:438.1')] ).
cnf(441,plain,
equal(aDimensionOf0(xq),aDimensionOf0(xp)),
inference(ssi,[status(thm)],[440,38,5]),
[iquote('0:SSi:440.0,38.0,5.1')] ).
cnf(1681,plain,
( ~ aVector0(xq)
| ~ aVector0(xp)
| ~ equal(aDimensionOf0(xq),aDimensionOf0(xp))
| ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq))) ),
inference(spr,[status(thm),theory(equality)],[27,86]),
[iquote('0:SpR:27.0,86.4')] ).
cnf(1697,plain,
( ~ aVector0(xq)
| ~ aVector0(xp)
| ~ equal(aDimensionOf0(xp),aDimensionOf0(xp))
| ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
inference(rew,[status(thm),theory(equality)],[25,1681,26,441]),
[iquote('0:Rew:25.0,1681.4,26.0,1681.4,441.0,1681.2')] ).
cnf(1698,plain,
( ~ aVector0(xq)
| ~ aVector0(xp)
| ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
inference(obv,[status(thm),theory(equality)],[1697]),
[iquote('0:Obv:1697.2')] ).
cnf(1699,plain,
( ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
inference(ssi,[status(thm)],[1698,5,6]),
[iquote('0:SSi:1698.1,1698.0,5.0,6.0')] ).
cnf(1700,plain,
$false,
inference(mrr,[status(thm)],[1699,136,45]),
[iquote('0:MRR:1699.0,1699.1,136.0,45.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG052+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : Mon May 30 07:07:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.67
% 0.47/0.67 SPASS V 3.9
% 0.47/0.67 SPASS beiseite: Proof found.
% 0.47/0.67 % SZS status Theorem
% 0.47/0.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.67 SPASS derived 892 clauses, backtracked 0 clauses, performed 0 splits and kept 472 clauses.
% 0.47/0.67 SPASS allocated 99426 KBytes.
% 0.47/0.67 SPASS spent 0:00:00.30 on the problem.
% 0.47/0.67 0:00:00.04 for the input.
% 0.47/0.67 0:00:00.04 for the FLOTTER CNF translation.
% 0.47/0.67 0:00:00.01 for inferences.
% 0.47/0.67 0:00:00.00 for the backtracking.
% 0.47/0.67 0:00:00.19 for the reduction.
% 0.47/0.67
% 0.47/0.67
% 0.47/0.67 Here is a proof with depth 2, length 26 :
% 0.47/0.67 % SZS output start Refutation
% See solution above
% 0.47/0.67 Formulae used in the proof : m__1709 m__1726 m__1678_01 m__1783 m__1800 m__1820 mDimNat mIH m__ mSuccEqu m__1652
% 0.47/0.67
%------------------------------------------------------------------------------