TSTP Solution File: RNG099+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 20:41:28 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 26 RR)
% Number of literals : 40 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
aSet0(xI),
file('RNG099+2.p',unknown),
[] ).
cnf(4,axiom,
aIdeal0(xI),
file('RNG099+2.p',unknown),
[] ).
cnf(5,axiom,
aSet0(xJ),
file('RNG099+2.p',unknown),
[] ).
cnf(6,axiom,
aIdeal0(xJ),
file('RNG099+2.p',unknown),
[] ).
cnf(7,axiom,
aElement0(xx),
file('RNG099+2.p',unknown),
[] ).
cnf(8,axiom,
aElement0(xy),
file('RNG099+2.p',unknown),
[] ).
cnf(10,axiom,
aElementOf0(xa,xI),
file('RNG099+2.p',unknown),
[] ).
cnf(11,axiom,
aElementOf0(xb,xJ),
file('RNG099+2.p',unknown),
[] ).
cnf(18,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('RNG099+2.p',unknown),
[] ).
cnf(19,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('RNG099+2.p',unknown),
[] ).
cnf(29,axiom,
( ~ aElementOf0(sdtpldt0(u,smndt0(xx)),xI)
| skP2(u) ),
file('RNG099+2.p',unknown),
[] ).
cnf(32,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('RNG099+2.p',unknown),
[] ).
cnf(35,axiom,
equal(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xw),
file('RNG099+2.p',unknown),
[] ).
cnf(36,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| aElement0(sdtpldt0(v,u)) ),
file('RNG099+2.p',unknown),
[] ).
cnf(37,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| aElement0(sdtasdt0(v,u)) ),
file('RNG099+2.p',unknown),
[] ).
cnf(48,axiom,
( ~ skP2(u)
| ~ aElement0(u)
| ~ aElementOf0(sdtpldt0(u,smndt0(xy)),xJ) ),
file('RNG099+2.p',unknown),
[] ).
cnf(79,plain,
skP2(xw),
inference(res,[status(thm),theory(equality)],[18,29]),
[iquote('0:Res:18.0,29.0')] ).
cnf(90,plain,
( ~ aElement0(xw)
| ~ skP2(xw) ),
inference(res,[status(thm),theory(equality)],[19,48]),
[iquote('0:Res:19.0,48.2')] ).
cnf(91,plain,
~ aElement0(xw),
inference(mrr,[status(thm)],[90,79]),
[iquote('0:MRR:90.1,79.0')] ).
cnf(128,plain,
( ~ aSet0(xJ)
| aElement0(xb) ),
inference(res,[status(thm),theory(equality)],[11,32]),
[iquote('0:Res:11.0,32.1')] ).
cnf(131,plain,
( ~ aSet0(xI)
| aElement0(xa) ),
inference(res,[status(thm),theory(equality)],[10,32]),
[iquote('0:Res:10.0,32.1')] ).
cnf(137,plain,
aElement0(xb),
inference(ssi,[status(thm)],[128,6,5]),
[iquote('0:SSi:128.0,6.0,5.0')] ).
cnf(138,plain,
aElement0(xa),
inference(ssi,[status(thm)],[131,4,3]),
[iquote('0:SSi:131.0,4.0,3.0')] ).
cnf(174,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa))
| aElement0(xw) ),
inference(spr,[status(thm),theory(equality)],[35,36]),
[iquote('0:SpR:35.0,36.2')] ).
cnf(178,plain,
aElement0(xw),
inference(ssi,[status(thm)],[174,37,8,138,7,137]),
[iquote('0:SSi:174.1,174.0,37.0,8.0,138.2,37.0,7.0,137.2')] ).
cnf(179,plain,
$false,
inference(mrr,[status(thm)],[178,91]),
[iquote('0:MRR:178.0,91.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 18:21:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 82 clauses, backtracked 0 clauses, performed 0 splits and kept 116 clauses.
% 0.21/0.51 SPASS allocated 98859 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.21/0.51 0:00:00.03 for the input.
% 0.21/0.51 0:00:00.09 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.00 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.01 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 1, length 26 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : m__1205 m__1217 m__1294 m__1332 m__1409 m__ mEOfElem m__1319 mSortsB mSortsB_02
% 0.21/0.51
%------------------------------------------------------------------------------