TSTP Solution File: RNG108+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 20:41:30 EDT 2022
% Result : Theorem 0.46s 0.68s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 13 unt; 0 nHn; 32 RR)
% Number of literals : 63 ( 0 equ; 47 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aElement0(sz00),
file('RNG108+4.p',unknown),
[] ).
cnf(2,axiom,
aElement0(sz10),
file('RNG108+4.p',unknown),
[] ).
cnf(3,axiom,
aElement0(xa),
file('RNG108+4.p',unknown),
[] ).
cnf(4,axiom,
aElement0(xb),
file('RNG108+4.p',unknown),
[] ).
cnf(39,axiom,
( ~ aElement0(u)
| equal(sdtasdt0(u,sz10),u) ),
file('RNG108+4.p',unknown),
[] ).
cnf(41,axiom,
( ~ aElement0(u)
| equal(sdtasdt0(u,sz00),sz00) ),
file('RNG108+4.p',unknown),
[] ).
cnf(58,axiom,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xa,u),sz00)
| skC0 ),
file('RNG108+4.p',unknown),
[] ).
cnf(59,axiom,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xa,u),xa)
| skC1 ),
file('RNG108+4.p',unknown),
[] ).
cnf(60,axiom,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xb,u),sz00)
| skC2 ),
file('RNG108+4.p',unknown),
[] ).
cnf(93,axiom,
( ~ aElement0(u)
| ~ skC2
| ~ skC1
| ~ skC0
| ~ equal(sdtasdt0(xb,u),xb) ),
file('RNG108+4.p',unknown),
[] ).
cnf(188,plain,
( ~ skC2
| ~ skC1
| ~ skC0
| ~ equal(sdtasdt0(xb,sz10),xb) ),
inference(res,[status(thm),theory(equality)],[2,93]),
[iquote('0:Res:2.0,93.0')] ).
cnf(200,plain,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xb,u),sz00) ),
inference(spt,[spt(split,[position(s1)])],[60]),
[iquote('1:Spt:60.0,60.1')] ).
cnf(221,plain,
( ~ aElement0(xb)
| ~ aElement0(sz00)
| ~ equal(sz00,sz00) ),
inference(spl,[status(thm),theory(equality)],[41,200]),
[iquote('1:SpL:41.1,200.1')] ).
cnf(228,plain,
( ~ aElement0(xb)
| ~ aElement0(sz00) ),
inference(obv,[status(thm),theory(equality)],[221]),
[iquote('1:Obv:221.2')] ).
cnf(229,plain,
$false,
inference(ssi,[status(thm)],[228,1,4]),
[iquote('1:SSi:228.1,228.0,1.0,4.0')] ).
cnf(234,plain,
skC2,
inference(spt,[spt(split,[position(s2)])],[60]),
[iquote('1:Spt:229.0,60.2')] ).
cnf(237,plain,
( ~ skC1
| ~ skC0
| ~ equal(sdtasdt0(xb,sz10),xb) ),
inference(mrr,[status(thm)],[188,234]),
[iquote('1:MRR:188.0,234.0')] ).
cnf(244,plain,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xa,u),xa) ),
inference(spt,[spt(split,[position(s2s1)])],[59]),
[iquote('2:Spt:59.0,59.1')] ).
cnf(279,plain,
( ~ aElement0(xa)
| ~ aElement0(sz10)
| ~ equal(xa,xa) ),
inference(spl,[status(thm),theory(equality)],[39,244]),
[iquote('2:SpL:39.1,244.1')] ).
cnf(283,plain,
( ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(obv,[status(thm),theory(equality)],[279]),
[iquote('2:Obv:279.2')] ).
cnf(284,plain,
$false,
inference(ssi,[status(thm)],[283,2,3]),
[iquote('2:SSi:283.1,283.0,2.0,3.0')] ).
cnf(285,plain,
skC1,
inference(spt,[spt(split,[position(s2s2)])],[59]),
[iquote('2:Spt:284.0,59.2')] ).
cnf(292,plain,
( ~ skC0
| ~ equal(sdtasdt0(xb,sz10),xb) ),
inference(mrr,[status(thm)],[237,285]),
[iquote('2:MRR:237.0,285.0')] ).
cnf(295,plain,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xa,u),sz00) ),
inference(spt,[spt(split,[position(s2s2s1)])],[58]),
[iquote('3:Spt:58.0,58.1')] ).
cnf(296,plain,
( ~ aElement0(xa)
| ~ aElement0(sz00)
| ~ equal(sz00,sz00) ),
inference(spl,[status(thm),theory(equality)],[41,295]),
[iquote('3:SpL:41.1,295.1')] ).
cnf(298,plain,
( ~ aElement0(xa)
| ~ aElement0(sz00) ),
inference(obv,[status(thm),theory(equality)],[296]),
[iquote('3:Obv:296.2')] ).
cnf(299,plain,
$false,
inference(ssi,[status(thm)],[298,1,3]),
[iquote('3:SSi:298.1,298.0,1.0,3.0')] ).
cnf(301,plain,
skC0,
inference(spt,[spt(split,[position(s2s2s2)])],[58]),
[iquote('3:Spt:299.0,58.2')] ).
cnf(308,plain,
~ equal(sdtasdt0(xb,sz10),xb),
inference(mrr,[status(thm)],[292,301]),
[iquote('3:MRR:292.0,301.0')] ).
cnf(313,plain,
( ~ aElement0(xb)
| ~ equal(xb,xb) ),
inference(spl,[status(thm),theory(equality)],[39,308]),
[iquote('3:SpL:39.1,308.0')] ).
cnf(314,plain,
~ aElement0(xb),
inference(obv,[status(thm),theory(equality)],[313]),
[iquote('3:Obv:313.1')] ).
cnf(315,plain,
$false,
inference(ssi,[status(thm)],[314,4]),
[iquote('3:SSi:314.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 07:52:57 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 101 clauses, backtracked 68 clauses, performed 11 splits and kept 270 clauses.
% 0.46/0.68 SPASS allocated 99704 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 0:00:00.23 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 2, length 32 :
% 0.46/0.68 % SZS output start Refutation
% See solution above
% 0.46/0.68 Formulae used in the proof : mSortsC mSortsC_01 m__2091 mMulUnit mMulZero m__
% 0.46/0.68
%------------------------------------------------------------------------------