TSTP Solution File: RNG120+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG120+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 20:41:32 EDT 2022
% Result : Theorem 0.46s 0.71s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 29 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 53 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aElement0(sz10),
file('RNG120+4.p',unknown),
[] ).
cnf(3,axiom,
aElement0(xa),
file('RNG120+4.p',unknown),
[] ).
cnf(4,axiom,
aElement0(xb),
file('RNG120+4.p',unknown),
[] ).
cnf(17,axiom,
aElement0(xq),
file('RNG120+4.p',unknown),
[] ).
cnf(29,axiom,
aElementOf0(xu,xI),
file('RNG120+4.p',unknown),
[] ).
cnf(50,axiom,
( ~ aIdeal0(u)
| aSet0(u) ),
file('RNG120+4.p',unknown),
[] ).
cnf(53,axiom,
aElementOf0(skf46(u),slsdtgt0(xa)),
file('RNG120+4.p',unknown),
[] ).
cnf(54,axiom,
aElementOf0(skf45(u),slsdtgt0(xb)),
file('RNG120+4.p',unknown),
[] ).
cnf(64,axiom,
( ~ aElement0(u)
| aElement0(smndt0(u)) ),
file('RNG120+4.p',unknown),
[] ).
cnf(66,axiom,
( ~ aElement0(u)
| aIdeal0(slsdtgt0(u)) ),
file('RNG120+4.p',unknown),
[] ).
cnf(71,axiom,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('RNG120+4.p',unknown),
[] ).
cnf(86,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('RNG120+4.p',unknown),
[] ).
cnf(97,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| aElement0(sdtpldt0(v,u)) ),
file('RNG120+4.p',unknown),
[] ).
cnf(99,axiom,
( ~ aElement0(u)
| equal(sdtasdt0(smndt0(sz10),u),smndt0(u)) ),
file('RNG120+4.p',unknown),
[] ).
cnf(111,axiom,
( ~ aElementOf0(u,xI)
| equal(sdtpldt0(skf46(u),skf45(u)),u) ),
file('RNG120+4.p',unknown),
[] ).
cnf(116,axiom,
( ~ aElement0(u)
| ~ aElementOf0(v,xI)
| aElementOf0(sdtasdt0(u,v),xI) ),
file('RNG120+4.p',unknown),
[] ).
cnf(256,plain,
( ~ aSet0(slsdtgt0(xb))
| aElement0(skf45(u)) ),
inference(res,[status(thm),theory(equality)],[54,86]),
[iquote('0:Res:54.0,86.1')] ).
cnf(261,plain,
( ~ aSet0(slsdtgt0(xa))
| aElement0(skf46(u)) ),
inference(res,[status(thm),theory(equality)],[53,86]),
[iquote('0:Res:53.0,86.1')] ).
cnf(272,plain,
aElement0(skf45(u)),
inference(ssi,[status(thm)],[256,50,66,4]),
[iquote('0:SSi:256.0,50.0,66.1,4.1')] ).
cnf(273,plain,
aElement0(skf46(u)),
inference(ssi,[status(thm)],[261,50,66,3]),
[iquote('0:SSi:261.0,50.0,66.1,3.1')] ).
cnf(356,plain,
( ~ aElement0(skf45(u))
| ~ aElement0(skf46(u))
| ~ aElementOf0(u,xI)
| aElement0(u) ),
inference(spr,[status(thm),theory(equality)],[111,97]),
[iquote('0:SpR:111.1,97.2')] ).
cnf(358,plain,
( ~ aElementOf0(u,xI)
| aElement0(u) ),
inference(ssi,[status(thm)],[356,273,272]),
[iquote('0:SSi:356.1,356.0,273.0,272.0')] ).
cnf(384,plain,
( ~ aElement0(u)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(u,xI)
| aElementOf0(smndt0(u),xI) ),
inference(spr,[status(thm),theory(equality)],[99,116]),
[iquote('0:SpR:99.1,116.2')] ).
cnf(401,plain,
( ~ aElement0(u)
| ~ aElementOf0(u,xI)
| aElementOf0(smndt0(u),xI) ),
inference(ssi,[status(thm)],[384,64,2]),
[iquote('0:SSi:384.1,64.0,2.1')] ).
cnf(402,plain,
( ~ aElementOf0(u,xI)
| aElementOf0(smndt0(u),xI) ),
inference(mrr,[status(thm)],[401,358]),
[iquote('0:MRR:401.0,358.1')] ).
cnf(416,plain,
~ aElementOf0(sdtasdt0(xq,xu),xI),
inference(res,[status(thm),theory(equality)],[402,71]),
[iquote('0:Res:402.1,71.0')] ).
cnf(423,plain,
( ~ aElement0(xq)
| ~ aElementOf0(xu,xI) ),
inference(res,[status(thm),theory(equality)],[116,416]),
[iquote('0:Res:116.2,416.0')] ).
cnf(424,plain,
~ aElementOf0(xu,xI),
inference(ssi,[status(thm)],[423,17]),
[iquote('0:SSi:423.0,17.0')] ).
cnf(425,plain,
$false,
inference(mrr,[status(thm)],[424,29]),
[iquote('0:MRR:424.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG120+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 16:56:27 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.46/0.71
% 0.46/0.71 SPASS V 3.9
% 0.46/0.71 SPASS beiseite: Proof found.
% 0.46/0.71 % SZS status Theorem
% 0.46/0.71 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.71 SPASS derived 195 clauses, backtracked 0 clauses, performed 0 splits and kept 254 clauses.
% 0.46/0.71 SPASS allocated 100275 KBytes.
% 0.46/0.71 SPASS spent 0:00:00.36 on the problem.
% 0.46/0.71 0:00:00.04 for the input.
% 0.46/0.71 0:00:00.25 for the FLOTTER CNF translation.
% 0.46/0.71 0:00:00.00 for inferences.
% 0.46/0.71 0:00:00.00 for the backtracking.
% 0.46/0.71 0:00:00.03 for the reduction.
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 Here is a proof with depth 3, length 29 :
% 0.46/0.71 % SZS output start Refutation
% See solution above
% 0.46/0.71 Formulae used in the proof : mSortsC_01 m__2091 m__2666 m__2273 mDefIdeal m__2174 mSortsU mPrIdeal m__ mEOfElem mSortsB mMulMnOne
% 0.46/0.71
%------------------------------------------------------------------------------