TSTP Solution File: RNG106+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG106+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 20:41:29 EDT 2022
% Result : Theorem 0.91s 1.09s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 41 ( 13 unt; 0 nHn; 41 RR)
% Number of literals : 81 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aElement0(skc3),
file('RNG106+2.p',unknown),
[] ).
cnf(6,axiom,
aSet0(slsdtgt0(xc)),
file('RNG106+2.p',unknown),
[] ).
cnf(8,axiom,
aElementOf0(skc2,slsdtgt0(xc)),
file('RNG106+2.p',unknown),
[] ).
cnf(18,axiom,
aElementOf0(skf28(u),slsdtgt0(xc)),
file('RNG106+2.p',unknown),
[] ).
cnf(19,axiom,
aElement0(skf24(u,v,w)),
file('RNG106+2.p',unknown),
[] ).
cnf(20,axiom,
aElement0(skf23(u,v,w)),
file('RNG106+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ aElementOf0(u,slsdtgt0(xc))
| skP4(u) ),
file('RNG106+2.p',unknown),
[] ).
cnf(34,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('RNG106+2.p',unknown),
[] ).
cnf(39,axiom,
( ~ skP5(skc2)
| ~ aElementOf0(sdtasdt0(skc3,skc2),slsdtgt0(xc)) ),
file('RNG106+2.p',unknown),
[] ).
cnf(40,axiom,
( ~ aElementOf0(sdtpldt0(u,skf28(u)),slsdtgt0(xc))
| skP5(u) ),
file('RNG106+2.p',unknown),
[] ).
cnf(41,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| aElement0(sdtpldt0(v,u)) ),
file('RNG106+2.p',unknown),
[] ).
cnf(49,axiom,
( ~ skP3(u,v,w)
| aElementOf0(sdtasdt0(u,w),slsdtgt0(xc)) ),
file('RNG106+2.p',unknown),
[] ).
cnf(52,axiom,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xc,u),v)
| skP4(v) ),
file('RNG106+2.p',unknown),
[] ).
cnf(58,axiom,
( ~ skP3(u,v,w)
| equal(sdtasdt0(xc,skf24(u,w,v)),v) ),
file('RNG106+2.p',unknown),
[] ).
cnf(59,axiom,
( ~ aElement0(u)
| ~ equal(sdtasdt0(xc,u),v)
| aElementOf0(v,slsdtgt0(xc)) ),
file('RNG106+2.p',unknown),
[] ).
cnf(60,axiom,
( ~ skP4(u)
| ~ skP4(v)
| ~ aElement0(w)
| skP3(w,v,u) ),
file('RNG106+2.p',unknown),
[] ).
cnf(94,axiom,
( ~ skP3(u,v,w)
| equal(sdtasdt0(xc,sdtpldt0(skf23(u,v,w),skf24(u,w,v))),sdtpldt0(w,v)) ),
file('RNG106+2.p',unknown),
[] ).
cnf(135,plain,
( ~ skP4(u)
| ~ skP4(v)
| skP3(skc3,v,u) ),
inference(res,[status(thm),theory(equality)],[1,60]),
[iquote('0:Res:1.0,60.0')] ).
cnf(210,plain,
( ~ aElementOf0(u,slsdtgt0(xc))
| aElement0(u) ),
inference(res,[status(thm),theory(equality)],[6,34]),
[iquote('0:Res:6.0,34.0')] ).
cnf(769,plain,
skP4(skc2),
inference(res,[status(thm),theory(equality)],[8,24]),
[iquote('0:Res:8.0,24.0')] ).
cnf(770,plain,
skP4(skf28(u)),
inference(res,[status(thm),theory(equality)],[18,24]),
[iquote('0:Res:18.0,24.0')] ).
cnf(772,plain,
aElement0(skc2),
inference(res,[status(thm),theory(equality)],[8,210]),
[iquote('0:Res:8.0,210.0')] ).
cnf(773,plain,
aElement0(skf28(u)),
inference(res,[status(thm),theory(equality)],[18,210]),
[iquote('0:Res:18.0,210.0')] ).
cnf(946,plain,
( ~ aElement0(u)
| skP4(sdtasdt0(xc,u)) ),
inference(eqr,[status(thm),theory(equality)],[52]),
[iquote('0:EqR:52.1')] ).
cnf(966,plain,
( ~ skP4(u)
| ~ skP4(v)
| aElementOf0(sdtasdt0(skc3,u),slsdtgt0(xc)) ),
inference(res,[status(thm),theory(equality)],[135,49]),
[iquote('0:Res:135.2,49.0')] ).
cnf(967,plain,
( ~ skP4(u)
| aElementOf0(sdtasdt0(skc3,u),slsdtgt0(xc)) ),
inference(con,[status(thm)],[966]),
[iquote('0:Con:966.1')] ).
cnf(978,plain,
( ~ skP4(skc2)
| ~ skP5(skc2) ),
inference(res,[status(thm),theory(equality)],[967,39]),
[iquote('0:Res:967.1,39.1')] ).
cnf(980,plain,
~ skP5(skc2),
inference(ssi,[status(thm)],[978,769,772]),
[iquote('0:SSi:978.0,769.0,772.0')] ).
cnf(1034,plain,
( ~ aElement0(u)
| aElementOf0(sdtasdt0(xc,u),slsdtgt0(xc)) ),
inference(eqr,[status(thm),theory(equality)],[59]),
[iquote('0:EqR:59.1')] ).
cnf(1270,plain,
( ~ aElement0(skf24(u,v,w))
| ~ skP3(u,w,v)
| aElementOf0(w,slsdtgt0(xc)) ),
inference(spr,[status(thm),theory(equality)],[58,1034]),
[iquote('0:SpR:58.1,1034.1')] ).
cnf(1277,plain,
( ~ skP3(u,v,w)
| aElementOf0(v,slsdtgt0(xc)) ),
inference(ssi,[status(thm)],[1270,19]),
[iquote('0:SSi:1270.0,19.0')] ).
cnf(1376,plain,
( ~ skP4(u)
| ~ skP4(v)
| aElementOf0(v,slsdtgt0(xc)) ),
inference(res,[status(thm),theory(equality)],[135,1277]),
[iquote('0:Res:135.2,1277.0')] ).
cnf(1378,plain,
( ~ skP4(u)
| aElementOf0(u,slsdtgt0(xc)) ),
inference(con,[status(thm)],[1376]),
[iquote('0:Con:1376.0')] ).
cnf(1382,plain,
( ~ skP4(sdtpldt0(u,skf28(u)))
| skP5(u) ),
inference(res,[status(thm),theory(equality)],[1378,40]),
[iquote('0:Res:1378.1,40.0')] ).
cnf(3692,plain,
( ~ aElement0(sdtpldt0(skf23(u,v,w),skf24(u,w,v)))
| ~ skP3(u,v,w)
| skP4(sdtpldt0(w,v)) ),
inference(spr,[status(thm),theory(equality)],[94,946]),
[iquote('0:SpR:94.1,946.1')] ).
cnf(3702,plain,
( ~ skP3(u,v,w)
| skP4(sdtpldt0(w,v)) ),
inference(ssi,[status(thm)],[3692,41,20,19]),
[iquote('0:SSi:3692.0,41.0,20.0,19.2')] ).
cnf(3712,plain,
( ~ skP3(u,skf28(v),v)
| skP5(v) ),
inference(sor,[status(thm)],[1382,3702]),
[iquote('0:SoR:1382.0,3702.1')] ).
cnf(3715,plain,
( ~ skP4(u)
| ~ skP4(skf28(u))
| skP5(u) ),
inference(res,[status(thm),theory(equality)],[135,3712]),
[iquote('0:Res:135.2,3712.0')] ).
cnf(3717,plain,
( ~ skP4(u)
| skP5(u) ),
inference(ssi,[status(thm)],[3715,773,770]),
[iquote('0:SSi:3715.1,773.0,770.0')] ).
cnf(3718,plain,
~ skP4(skc2),
inference(res,[status(thm),theory(equality)],[3717,980]),
[iquote('0:Res:3717.1,980.0')] ).
cnf(3719,plain,
$false,
inference(ssi,[status(thm)],[3718,772,769]),
[iquote('0:SSi:3718.0,772.0,769.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG106+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n028.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 07:37:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.91/1.09
% 0.91/1.09 SPASS V 3.9
% 0.91/1.09 SPASS beiseite: Proof found.
% 0.91/1.09 % SZS status Theorem
% 0.91/1.09 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.09 SPASS derived 2575 clauses, backtracked 428 clauses, performed 6 splits and kept 1440 clauses.
% 0.91/1.09 SPASS allocated 100446 KBytes.
% 0.91/1.09 SPASS spent 0:00:00.72 on the problem.
% 0.91/1.09 0:00:00.04 for the input.
% 0.91/1.09 0:00:00.14 for the FLOTTER CNF translation.
% 0.91/1.09 0:00:00.04 for inferences.
% 0.91/1.09 0:00:00.01 for the backtracking.
% 0.91/1.09 0:00:00.44 for the reduction.
% 0.91/1.09
% 0.91/1.09
% 0.91/1.09 Here is a proof with depth 7, length 41 :
% 0.91/1.09 % SZS output start Refutation
% See solution above
% 0.91/1.09 Formulae used in the proof : m__ m__1905 mEOfElem mSortsB
% 0.91/1.09
%------------------------------------------------------------------------------