TSTP Solution File: SWC182+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC182+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 : Tue Jul 19 22:02:18 EDT 2022
% Result : Theorem 0.88s 1.08s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 36
% Syntax : Number of clauses : 110 ( 50 unt; 12 nHn; 110 RR)
% Number of literals : 221 ( 0 equ; 107 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc11),
file('SWC182+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC182+1.p',unknown),
[] ).
cnf(3,axiom,
ssItem(skc9),
file('SWC182+1.p',unknown),
[] ).
cnf(4,axiom,
ssList(skc8),
file('SWC182+1.p',unknown),
[] ).
cnf(8,axiom,
ssList(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(9,axiom,
cyclefreeP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(10,axiom,
totalorderP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(11,axiom,
strictorderP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(12,axiom,
totalorderedP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(13,axiom,
strictorderedP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(14,axiom,
duplicatefreeP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(15,axiom,
equalelemsP(nil),
file('SWC182+1.p',unknown),
[] ).
cnf(16,axiom,
equal(skc7,nil),
file('SWC182+1.p',unknown),
[] ).
cnf(58,axiom,
ssList(skf46(u,v)),
file('SWC182+1.p',unknown),
[] ).
cnf(62,axiom,
( memberP(skc11,skc9)
| memberP(skc10,skc9) ),
file('SWC182+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ ssList(u)
| frontsegP(u,nil) ),
file('SWC182+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ ssItem(u)
| ~ memberP(nil,u) ),
file('SWC182+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ ssItem(u)
| cyclefreeP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ ssItem(u)
| totalorderP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ ssItem(u)
| strictorderP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ ssItem(u)
| totalorderedP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ ssItem(u)
| strictorderedP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ ssItem(u)
| duplicatefreeP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ ssItem(u)
| equalelemsP(cons(u,nil)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ ssList(u)
| equal(app(nil,u),u) ),
file('SWC182+1.p',unknown),
[] ).
cnf(82,axiom,
equal(app(app(skc10,cons(skc9,nil)),skc11),skc7),
file('SWC182+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| ssList(cons(u,v)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ssList(app(v,u)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| ~ equal(cons(u,v),v) ),
file('SWC182+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| equal(hd(cons(u,v)),u) ),
file('SWC182+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ ssList(u)
| ~ ssItem(v)
| ~ equal(cons(v,nil),u)
| singletonP(u) ),
file('SWC182+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| equal(app(cons(u,nil),v),cons(u,v)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ equal(app(v,u),nil)
| equal(nil,u) ),
file('SWC182+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ equal(app(v,u),nil)
| equal(nil,v) ),
file('SWC182+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ ssList(u)
| ~ ssList(v)
| equal(nil,v)
| equal(hd(app(v,u)),hd(v)) ),
file('SWC182+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ frontsegP(v,u)
| equal(app(u,skf46(v,u)),v) ),
file('SWC182+1.p',unknown),
[] ).
cnf(196,plain,
equal(app(app(skc10,cons(skc9,nil)),skc11),nil),
inference(rew,[status(thm),theory(equality)],[16,82]),
[iquote('0:Rew:16.0,82.0')] ).
cnf(244,plain,
( ~ ssList(u)
| equal(skc8,nil)
| equal(hd(app(skc8,u)),hd(skc8)) ),
inference(res,[status(thm),theory(equality)],[4,132]),
[iquote('0:Res:4.0,132.0')] ).
cnf(267,plain,
( ~ ssItem(u)
| ssList(cons(u,skc8)) ),
inference(res,[status(thm),theory(equality)],[4,90]),
[iquote('0:Res:4.0,90.0')] ).
cnf(395,plain,
( ~ ssList(u)
| ~ equal(cons(skc9,nil),u)
| singletonP(u) ),
inference(res,[status(thm),theory(equality)],[3,120]),
[iquote('0:Res:3.0,120.0')] ).
cnf(407,plain,
~ memberP(nil,skc9),
inference(res,[status(thm),theory(equality)],[3,71]),
[iquote('0:Res:3.0,71.0')] ).
cnf(408,plain,
cyclefreeP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,72]),
[iquote('0:Res:3.0,72.0')] ).
cnf(409,plain,
totalorderP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,73]),
[iquote('0:Res:3.0,73.0')] ).
cnf(410,plain,
strictorderP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,74]),
[iquote('0:Res:3.0,74.0')] ).
cnf(411,plain,
totalorderedP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,75]),
[iquote('0:Res:3.0,75.0')] ).
cnf(412,plain,
strictorderedP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,76]),
[iquote('0:Res:3.0,76.0')] ).
cnf(413,plain,
duplicatefreeP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,77]),
[iquote('0:Res:3.0,77.0')] ).
cnf(414,plain,
equalelemsP(cons(skc9,nil)),
inference(res,[status(thm),theory(equality)],[3,78]),
[iquote('0:Res:3.0,78.0')] ).
cnf(442,plain,
( ~ ssList(u)
| equal(app(cons(skc9,nil),u),cons(skc9,u)) ),
inference(res,[status(thm),theory(equality)],[3,127]),
[iquote('0:Res:3.0,127.1')] ).
cnf(453,plain,
( ~ ssList(u)
| ~ equal(cons(skc9,u),u) ),
inference(res,[status(thm),theory(equality)],[3,108]),
[iquote('0:Res:3.0,108.1')] ).
cnf(455,plain,
( ~ ssList(u)
| equal(hd(cons(skc9,u)),skc9) ),
inference(res,[status(thm),theory(equality)],[3,110]),
[iquote('0:Res:3.0,110.1')] ).
cnf(457,plain,
( ~ ssList(u)
| ssList(cons(skc9,u)) ),
inference(res,[status(thm),theory(equality)],[3,90]),
[iquote('0:Res:3.0,90.1')] ).
cnf(476,plain,
equal(skc8,nil),
inference(spt,[spt(split,[position(s1)])],[244]),
[iquote('1:Spt:244.1')] ).
cnf(491,plain,
( ~ ssItem(u)
| ssList(cons(u,nil)) ),
inference(rew,[status(thm),theory(equality)],[476,267]),
[iquote('1:Rew:476.0,267.1')] ).
cnf(825,plain,
( ~ ssList(cons(skc9,nil))
| singletonP(cons(skc9,nil)) ),
inference(eqr,[status(thm),theory(equality)],[395]),
[iquote('0:EqR:395.1')] ).
cnf(826,plain,
singletonP(cons(skc9,nil)),
inference(ssi,[status(thm)],[825,491,3,414,413,410,409,408,412,411]),
[iquote('1:SSi:825.0,491.0,3.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1')] ).
cnf(1257,plain,
( ~ ssList(cons(u,nil))
| ~ ssItem(u)
| singletonP(cons(u,nil)) ),
inference(eqr,[status(thm),theory(equality)],[120]),
[iquote('0:EqR:120.2')] ).
cnf(1695,plain,
( ~ ssList(skc11)
| ~ ssList(app(skc10,cons(skc9,nil)))
| ~ equal(nil,nil)
| equal(app(skc10,cons(skc9,nil)),nil) ),
inference(spl,[status(thm),theory(equality)],[196,129]),
[iquote('0:SpL:196.0,129.2')] ).
cnf(1703,plain,
( ~ ssList(skc11)
| ~ ssList(app(skc10,cons(skc9,nil)))
| equal(app(skc10,cons(skc9,nil)),nil) ),
inference(obv,[status(thm),theory(equality)],[1695]),
[iquote('0:Obv:1695.2')] ).
cnf(1704,plain,
equal(app(skc10,cons(skc9,nil)),nil),
inference(ssi,[status(thm)],[1703,91,2,491,3,414,413,410,409,408,412,411,826,1]),
[iquote('1:SSi:1703.1,1703.0,91.0,2.0,491.0,3.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1,826.0,1.2')] ).
cnf(1705,plain,
equal(app(nil,skc11),nil),
inference(rew,[status(thm),theory(equality)],[1704,196]),
[iquote('1:Rew:1704.0,196.0')] ).
cnf(1714,plain,
( ~ ssList(skc11)
| equal(skc11,nil) ),
inference(spr,[status(thm),theory(equality)],[1705,80]),
[iquote('1:SpR:1705.0,80.1')] ).
cnf(1720,plain,
equal(skc11,nil),
inference(ssi,[status(thm)],[1714,1]),
[iquote('1:SSi:1714.0,1.0')] ).
cnf(1722,plain,
( memberP(nil,skc9)
| memberP(skc10,skc9) ),
inference(rew,[status(thm),theory(equality)],[1720,62]),
[iquote('1:Rew:1720.0,62.0')] ).
cnf(1793,plain,
memberP(skc10,skc9),
inference(mrr,[status(thm)],[1722,407]),
[iquote('1:MRR:1722.0,407.0')] ).
cnf(1933,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(skc10)
| ~ equal(nil,nil)
| equal(skc10,nil) ),
inference(spl,[status(thm),theory(equality)],[1704,129]),
[iquote('1:SpL:1704.0,129.2')] ).
cnf(1934,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(skc10)
| equal(skc10,nil) ),
inference(obv,[status(thm),theory(equality)],[1933]),
[iquote('1:Obv:1933.2')] ).
cnf(1935,plain,
equal(skc10,nil),
inference(ssi,[status(thm)],[1934,2,491,3,414,413,410,409,408,412,411,826]),
[iquote('1:SSi:1934.1,1934.0,2.0,491.0,3.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1,826.0')] ).
cnf(1940,plain,
memberP(nil,skc9),
inference(rew,[status(thm),theory(equality)],[1935,1793]),
[iquote('1:Rew:1935.0,1793.0')] ).
cnf(2004,plain,
$false,
inference(mrr,[status(thm)],[1940,407]),
[iquote('1:MRR:1940.0,407.0')] ).
cnf(2135,plain,
~ equal(skc8,nil),
inference(spt,[spt(split,[position(sa)])],[2004,476]),
[iquote('1:Spt:2004.0,244.1,476.0')] ).
cnf(2136,plain,
( ~ ssList(u)
| equal(hd(app(skc8,u)),hd(skc8)) ),
inference(spt,[spt(split,[position(s2)])],[244]),
[iquote('1:Spt:2004.0,244.0,244.2')] ).
cnf(2142,plain,
singletonP(cons(skc9,nil)),
inference(ssi,[status(thm)],[825,457,15,14,11,10,9,13,12,8,414,413,410,409,408,412,411]),
[iquote('0:SSi:825.0,457.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1')] ).
cnf(2147,plain,
( ~ ssItem(u)
| singletonP(cons(u,nil)) ),
inference(ssi,[status(thm)],[1257,90,15,14,11,10,9,13,12,8,78,77,74,73,72,76,75]),
[iquote('0:SSi:1257.0,90.1,15.1,14.1,11.1,10.1,9.1,13.1,12.0,8.0,78.0,77.0,74.0,73.0,72.0,76.0,75.2')] ).
cnf(2154,plain,
( ~ ssList(app(skc10,cons(skc9,nil)))
| equal(app(skc10,cons(skc9,nil)),nil) ),
inference(mrr,[status(thm)],[1703,1]),
[iquote('0:MRR:1703.0,1.0')] ).
cnf(2283,plain,
( ~ ssList(skc11)
| ~ ssList(app(skc10,cons(skc9,nil)))
| ~ equal(nil,nil)
| equal(skc11,nil) ),
inference(spl,[status(thm),theory(equality)],[196,128]),
[iquote('0:SpL:196.0,128.2')] ).
cnf(2285,plain,
( ~ ssList(skc11)
| ~ ssList(app(skc10,cons(skc9,nil)))
| equal(skc11,nil) ),
inference(obv,[status(thm),theory(equality)],[2283]),
[iquote('0:Obv:2283.2')] ).
cnf(2286,plain,
equal(skc11,nil),
inference(ssi,[status(thm)],[2285,91,2,457,15,14,11,10,9,13,12,8,414,413,410,409,408,412,411,2142,1]),
[iquote('0:SSi:2285.1,2285.0,91.0,2.0,457.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1,2142.0,1.2')] ).
cnf(2288,plain,
( memberP(nil,skc9)
| memberP(skc10,skc9) ),
inference(rew,[status(thm),theory(equality)],[2286,62]),
[iquote('0:Rew:2286.0,62.0')] ).
cnf(2290,plain,
memberP(skc10,skc9),
inference(mrr,[status(thm)],[2288,407]),
[iquote('0:MRR:2288.0,407.0')] ).
cnf(2343,plain,
( ~ ssList(u)
| ~ ssList(u)
| ~ ssList(cons(skc9,nil))
| equal(cons(skc9,nil),nil)
| equal(hd(cons(skc9,u)),hd(cons(skc9,nil))) ),
inference(spr,[status(thm),theory(equality)],[442,132]),
[iquote('0:SpR:442.1,132.3')] ).
cnf(2345,plain,
( ~ ssList(u)
| ~ ssList(cons(skc9,nil))
| equal(cons(skc9,nil),nil)
| equal(hd(cons(skc9,u)),hd(cons(skc9,nil))) ),
inference(obv,[status(thm),theory(equality)],[2343]),
[iquote('0:Obv:2343.0')] ).
cnf(2346,plain,
( ~ ssList(u)
| ~ ssList(cons(skc9,nil))
| equal(cons(skc9,nil),nil)
| equal(hd(cons(skc9,nil)),skc9) ),
inference(rew,[status(thm),theory(equality)],[455,2345]),
[iquote('0:Rew:455.1,2345.3')] ).
cnf(2347,plain,
( ~ ssList(cons(skc9,nil))
| equal(cons(skc9,nil),nil)
| equal(hd(cons(skc9,nil)),skc9) ),
inference(con,[status(thm)],[2346]),
[iquote('0:Con:2346.0')] ).
cnf(2348,plain,
( equal(cons(skc9,nil),nil)
| equal(hd(cons(skc9,nil)),skc9) ),
inference(ssi,[status(thm)],[2347,457,15,14,11,10,9,13,12,8,414,413,410,409,408,412,411,2142]),
[iquote('0:SSi:2347.0,457.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,414.0,413.0,410.0,409.0,408.0,412.0,411.0,2142.1')] ).
cnf(2800,plain,
( ~ ssList(nil)
| ~ ssList(u)
| ~ ssList(skf46(u,nil))
| ~ frontsegP(u,nil)
| equal(skf46(u,nil),u) ),
inference(spr,[status(thm),theory(equality)],[135,80]),
[iquote('0:SpR:135.3,80.1')] ).
cnf(2803,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(u)
| ~ ssList(skf46(u,cons(skc9,nil)))
| ~ frontsegP(u,cons(skc9,nil))
| equal(cons(skc9,skf46(u,cons(skc9,nil))),u) ),
inference(spr,[status(thm),theory(equality)],[135,442]),
[iquote('0:SpR:135.3,442.1')] ).
cnf(2815,plain,
( ~ ssList(u)
| ~ frontsegP(u,nil)
| equal(skf46(u,nil),u) ),
inference(ssi,[status(thm)],[2800,58,15,14,11,10,9,13,12,8]),
[iquote('0:SSi:2800.2,2800.0,58.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0')] ).
cnf(2816,plain,
( ~ ssList(u)
| equal(skf46(u,nil),u) ),
inference(mrr,[status(thm)],[2815,65]),
[iquote('0:MRR:2815.1,65.1')] ).
cnf(2827,plain,
( ~ ssList(u)
| ~ frontsegP(u,cons(skc9,nil))
| equal(cons(skc9,skf46(u,cons(skc9,nil))),u) ),
inference(ssi,[status(thm)],[2803,58,457,15,14,11,10,9,13,12,8,414,413,410,409,408,412,411,2142]),
[iquote('0:SSi:2803.2,2803.0,58.0,457.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1,2142.0,457.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0,414.0,413.0,410.0,409.0,408.0,412.0,411.1,2142.0')] ).
cnf(2878,plain,
equal(cons(skc9,nil),nil),
inference(spt,[spt(split,[position(s2s1)])],[2348]),
[iquote('2:Spt:2348.0')] ).
cnf(2923,plain,
( ~ ssList(u)
| ~ frontsegP(u,nil)
| equal(cons(skc9,skf46(u,cons(skc9,nil))),u) ),
inference(rew,[status(thm),theory(equality)],[2878,2827]),
[iquote('2:Rew:2878.0,2827.1')] ).
cnf(2964,plain,
( ~ ssList(u)
| ~ frontsegP(u,nil)
| equal(cons(skc9,skf46(u,nil)),u) ),
inference(rew,[status(thm),theory(equality)],[2878,2923]),
[iquote('2:Rew:2878.0,2923.2')] ).
cnf(2965,plain,
( ~ ssList(u)
| ~ frontsegP(u,nil)
| equal(cons(skc9,u),u) ),
inference(rew,[status(thm),theory(equality)],[2816,2964]),
[iquote('2:Rew:2816.1,2964.2')] ).
cnf(2966,plain,
~ ssList(u),
inference(mrr,[status(thm)],[2965,65,453]),
[iquote('2:MRR:2965.1,2965.2,65.1,453.1')] ).
cnf(2967,plain,
$false,
inference(unc,[status(thm)],[2966,2]),
[iquote('2:UnC:2966.0,2.0')] ).
cnf(2969,plain,
~ equal(cons(skc9,nil),nil),
inference(spt,[spt(split,[position(s2sa)])],[2967,2878]),
[iquote('2:Spt:2967.0,2348.0,2878.0')] ).
cnf(2970,plain,
equal(hd(cons(skc9,nil)),skc9),
inference(spt,[spt(split,[position(s2s2)])],[2348]),
[iquote('2:Spt:2967.0,2348.1')] ).
cnf(2971,plain,
equal(app(skc10,cons(skc9,nil)),nil),
inference(ssi,[status(thm)],[2154,91,2,2147,3,457,15,14,11,10,9,13,12,8,78,77,74,73,72,76,75]),
[iquote('0:SSi:2154.0,91.0,2.1,2147.0,3.1,457.0,15.1,14.0,11.1,10.0,9.1,13.0,12.1,8.0,78.1,3.0,77.0,3.0,74.0,3.0,73.0,3.0,72.0,3.1,76.0,3.1,75.0,3.2')] ).
cnf(2995,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(skc10)
| equal(skc10,nil)
| equal(hd(skc10),hd(nil)) ),
inference(spr,[status(thm),theory(equality)],[2971,132]),
[iquote('0:SpR:2971.0,132.3')] ).
cnf(2997,plain,
( equal(skc10,nil)
| equal(hd(skc10),hd(nil)) ),
inference(ssi,[status(thm)],[2995,2,2142,457,15,14,11,10,9,13,12,8,78,3,77,74,73,72,76,75]),
[iquote('0:SSi:2995.1,2995.0,2.0,2142.1,457.0,15.1,14.0,11.1,10.0,9.1,13.0,12.1,8.0,78.1,3.0,77.1,3.0,74.0,3.0,73.0,3.0,72.0,3.0,76.0,3.1,75.0,3.0')] ).
cnf(2998,plain,
equal(skc10,nil),
inference(spt,[spt(split,[position(s2s2s1)])],[2997]),
[iquote('3:Spt:2997.0')] ).
cnf(3000,plain,
memberP(nil,skc9),
inference(rew,[status(thm),theory(equality)],[2998,2290]),
[iquote('3:Rew:2998.0,2290.0')] ).
cnf(3005,plain,
$false,
inference(mrr,[status(thm)],[3000,407]),
[iquote('3:MRR:3000.0,407.0')] ).
cnf(3012,plain,
~ equal(skc10,nil),
inference(spt,[spt(split,[position(s2s2sa)])],[3005,2998]),
[iquote('3:Spt:3005.0,2997.0,2998.0')] ).
cnf(3013,plain,
equal(hd(skc10),hd(nil)),
inference(spt,[spt(split,[position(s2s2s2)])],[2997]),
[iquote('3:Spt:3005.0,2997.1')] ).
cnf(3144,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(skc10)
| ~ equal(nil,nil)
| equal(skc10,nil) ),
inference(spl,[status(thm),theory(equality)],[2971,129]),
[iquote('0:SpL:2971.0,129.2')] ).
cnf(3145,plain,
( ~ ssList(cons(skc9,nil))
| ~ ssList(skc10)
| equal(skc10,nil) ),
inference(obv,[status(thm),theory(equality)],[3144]),
[iquote('0:Obv:3144.2')] ).
cnf(3146,plain,
equal(skc10,nil),
inference(ssi,[status(thm)],[3145,2,2142,457,15,14,11,10,9,13,12,8,78,3,77,74,73,72,76,75]),
[iquote('0:SSi:3145.1,3145.0,2.0,2142.1,457.0,15.1,14.0,11.1,10.0,9.1,13.0,12.1,8.0,78.1,3.0,77.1,3.0,74.0,3.0,73.0,3.0,72.0,3.0,76.0,3.1,75.0,3.0')] ).
cnf(3147,plain,
$false,
inference(mrr,[status(thm)],[3146,3012]),
[iquote('3:MRR:3146.0,3012.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC182+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 06:38:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.08
% 0.88/1.08 SPASS V 3.9
% 0.88/1.08 SPASS beiseite: Proof found.
% 0.88/1.08 % SZS status Theorem
% 0.88/1.08 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/1.08 SPASS derived 1901 clauses, backtracked 317 clauses, performed 10 splits and kept 1340 clauses.
% 0.88/1.08 SPASS allocated 100280 KBytes.
% 0.88/1.08 SPASS spent 0:00:00.74 on the problem.
% 0.88/1.08 0:00:00.04 for the input.
% 0.88/1.08 0:00:00.07 for the FLOTTER CNF translation.
% 0.88/1.08 0:00:00.02 for inferences.
% 0.88/1.08 0:00:00.01 for the backtracking.
% 0.88/1.08 0:00:00.44 for the reduction.
% 0.88/1.08
% 0.88/1.08
% 0.88/1.08 Here is a proof with depth 3, length 110 :
% 0.88/1.08 % SZS output start Refutation
% See solution above
% 0.91/1.10 Formulae used in the proof : co1 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax5 ax45 ax38 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax16 ax26 ax18 ax23 ax4 ax2 ax81 ax83 ax85
% 0.91/1.10
%------------------------------------------------------------------------------