%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 20:41:33 EDT 2022
% Result : Theorem 1.16s 1.33s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 29 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 58 ( 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 : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
aElement0(xa),
file('RNG126+4.p',unknown),
[] ).
cnf(4,axiom,
aElement0(xb),
file('RNG126+4.p',unknown),
[] ).
cnf(16,axiom,
aElement0(skc63),
file('RNG126+4.p',unknown),
[] ).
cnf(29,axiom,
aElementOf0(xu,xI),
file('RNG126+4.p',unknown),
[] ).
cnf(51,axiom,
( ~ aIdeal0(u)
| aSet0(u) ),
file('RNG126+4.p',unknown),
[] ).
cnf(54,axiom,
aElementOf0(skf50(u),slsdtgt0(xa)),
file('RNG126+4.p',unknown),
[] ).
cnf(55,axiom,
aElementOf0(skf49(u),slsdtgt0(xb)),
file('RNG126+4.p',unknown),
[] ).
cnf(64,axiom,
equal(sdtasdt0(xu,skc63),xc),
file('RNG126+4.p',unknown),
[] ).
cnf(67,axiom,
( ~ aElement0(u)
| aIdeal0(slsdtgt0(u)) ),
file('RNG126+4.p',unknown),
[] ).
cnf(70,axiom,
equal(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),xI),
file('RNG126+4.p',unknown),
[] ).
cnf(72,axiom,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
file('RNG126+4.p',unknown),
[] ).
cnf(83,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('RNG126+4.p',unknown),
[] ).
cnf(92,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| aElement0(sdtpldt0(v,u)) ),
file('RNG126+4.p',unknown),
[] ).
cnf(107,axiom,
( ~ aElementOf0(u,xI)
| equal(sdtpldt0(skf50(u),skf49(u)),u) ),
file('RNG126+4.p',unknown),
[] ).
cnf(111,axiom,
( ~ aElement0(u)
| ~ aElementOf0(v,xI)
| aElementOf0(sdtasdt0(u,v),xI) ),
file('RNG126+4.p',unknown),
[] ).
cnf(115,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| equal(sdtasdt0(v,u),sdtasdt0(u,v)) ),
file('RNG126+4.p',unknown),
[] ).
cnf(173,plain,
~ aElementOf0(xc,xI),
inference(rew,[status(thm),theory(equality)],[70,72]),
[iquote('0:Rew:70.0,72.0')] ).
cnf(520,plain,
( ~ aSet0(slsdtgt0(xb))
| aElement0(skf49(u)) ),
inference(res,[status(thm),theory(equality)],[55,83]),
[iquote('0:Res:55.0,83.1')] ).
cnf(525,plain,
( ~ aSet0(slsdtgt0(xa))
| aElement0(skf50(u)) ),
inference(res,[status(thm),theory(equality)],[54,83]),
[iquote('0:Res:54.0,83.1')] ).
cnf(533,plain,
aElement0(skf49(u)),
inference(ssi,[status(thm)],[520,51,67,4]),
[iquote('0:SSi:520.0,51.0,67.1,4.1')] ).
cnf(534,plain,
aElement0(skf50(u)),
inference(ssi,[status(thm)],[525,51,67,3]),
[iquote('0:SSi:525.0,51.0,67.1,3.1')] ).
cnf(671,plain,
( ~ aElement0(skf49(u))
| ~ aElement0(skf50(u))
| ~ aElementOf0(u,xI)
| aElement0(u) ),
inference(spr,[status(thm),theory(equality)],[107,92]),
[iquote('0:SpR:107.1,92.2')] ).
cnf(673,plain,
( ~ aElementOf0(u,xI)
| aElement0(u) ),
inference(ssi,[status(thm)],[671,534,533]),
[iquote('0:SSi:671.1,671.0,534.0,533.0')] ).
cnf(866,plain,
( ~ aElement0(u)
| ~ aElement0(v)
| ~ aElement0(v)
| ~ aElementOf0(u,xI)
| aElementOf0(sdtasdt0(u,v),xI) ),
inference(spr,[status(thm),theory(equality)],[115,111]),
[iquote('0:SpR:115.2,111.2')] ).
cnf(902,plain,
( ~ aElement0(u)
| ~ aElement0(v)
| ~ aElementOf0(u,xI)
| aElementOf0(sdtasdt0(u,v),xI) ),
inference(obv,[status(thm),theory(equality)],[866]),
[iquote('0:Obv:866.1')] ).
cnf(903,plain,
( ~ aElement0(u)
| ~ aElementOf0(v,xI)
| aElementOf0(sdtasdt0(v,u),xI) ),
inference(mrr,[status(thm)],[902,673]),
[iquote('0:MRR:902.0,673.1')] ).
cnf(4922,plain,
( ~ aElement0(skc63)
| ~ aElementOf0(xu,xI)
| aElementOf0(xc,xI) ),
inference(spr,[status(thm),theory(equality)],[64,903]),
[iquote('0:SpR:64.0,903.2')] ).
cnf(4983,plain,
( ~ aElementOf0(xu,xI)
| aElementOf0(xc,xI) ),
inference(ssi,[status(thm)],[4922,16]),
[iquote('0:SSi:4922.0,16.0')] ).
cnf(4984,plain,
$false,
inference(mrr,[status(thm)],[4983,29,173]),
[iquote('0:MRR:4983.0,4983.1,29.0,173.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 09:14:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.16/1.33
% 1.16/1.33 SPASS V 3.9
% 1.16/1.33 SPASS beiseite: Proof found.
% 1.16/1.33 % SZS status Theorem
% 1.16/1.33 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.33 SPASS derived 3172 clauses, backtracked 0 clauses, performed 0 splits and kept 1548 clauses.
% 1.16/1.33 SPASS allocated 101976 KBytes.
% 1.16/1.33 SPASS spent 0:00:00.94 on the problem.
% 1.16/1.33 0:00:00.04 for the input.
% 1.16/1.33 0:00:00.20 for the FLOTTER CNF translation.
% 1.16/1.33 0:00:00.04 for inferences.
% 1.16/1.33 0:00:00.00 for the backtracking.
% 1.16/1.33 0:00:00.60 for the reduction.
% 1.16/1.33
% 1.16/1.33
% 1.16/1.33 Here is a proof with depth 2, length 29 :
% 1.16/1.33 % SZS output start Refutation
% See solution above
% 1.16/1.33 Formulae used in the proof : m__2091 m__2744 m__2273 mDefIdeal m__2174 mPrIdeal m__ mEOfElem mSortsB mMulComm
% 1.16/1.33
%------------------------------------------------------------------------------