TSTP Solution File: KLE145+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KLE145+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Sun Jul 17 02:28:45 EDT 2022
% Result : Theorem 137.40s 137.68s
% Output : Refutation 138.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of clauses : 103 ( 74 unt; 0 nHn; 103 RR)
% Number of literals : 135 ( 0 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(addition(u,zero),u),
file('KLE145+1.p',unknown),
[] ).
cnf(2,axiom,
equal(addition(u,u),u),
file('KLE145+1.p',unknown),
[] ).
cnf(3,axiom,
equal(multiplication(u,one),u),
file('KLE145+1.p',unknown),
[] ).
cnf(4,axiom,
equal(multiplication(one,u),u),
file('KLE145+1.p',unknown),
[] ).
cnf(5,axiom,
equal(multiplication(zero,u),zero),
file('KLE145+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(star(strong_iteration(skc1)),strong_iteration(skc1)),
file('KLE145+1.p',unknown),
[] ).
cnf(7,axiom,
equal(addition(u,v),addition(v,u)),
file('KLE145+1.p',unknown),
[] ).
cnf(8,axiom,
equal(addition(one,multiplication(u,star(u))),star(u)),
file('KLE145+1.p',unknown),
[] ).
cnf(9,axiom,
equal(addition(one,multiplication(star(u),u)),star(u)),
file('KLE145+1.p',unknown),
[] ).
cnf(10,axiom,
equal(addition(multiplication(u,strong_iteration(u)),one),strong_iteration(u)),
file('KLE145+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ leq(u,v)
| equal(addition(u,v),v) ),
file('KLE145+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(addition(u,v),v)
| leq(u,v) ),
file('KLE145+1.p',unknown),
[] ).
cnf(13,axiom,
equal(addition(star(u),multiplication(strong_iteration(u),zero)),strong_iteration(u)),
file('KLE145+1.p',unknown),
[] ).
cnf(14,axiom,
equal(addition(addition(u,v),w),addition(u,addition(v,w))),
file('KLE145+1.p',unknown),
[] ).
cnf(15,axiom,
equal(multiplication(multiplication(u,v),w),multiplication(u,multiplication(v,w))),
file('KLE145+1.p',unknown),
[] ).
cnf(16,axiom,
equal(multiplication(u,addition(v,w)),addition(multiplication(u,v),multiplication(u,w))),
file('KLE145+1.p',unknown),
[] ).
cnf(17,axiom,
equal(multiplication(addition(u,v),w),addition(multiplication(u,w),multiplication(v,w))),
file('KLE145+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ leq(addition(multiplication(u,v),w),v)
| leq(multiplication(star(u),w),v) ),
file('KLE145+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ leq(addition(multiplication(u,v),w),u)
| leq(multiplication(w,star(v)),u) ),
file('KLE145+1.p',unknown),
[] ).
cnf(21,plain,
equal(addition(one,multiplication(u,strong_iteration(u))),strong_iteration(u)),
inference(rew,[status(thm),theory(equality)],[7,10]),
[iquote('0:Rew:7.0,10.0')] ).
cnf(30,plain,
equal(addition(zero,u),u),
inference(spr,[status(thm),theory(equality)],[7,1]),
[iquote('0:SpR:7.0,1.0')] ).
cnf(60,plain,
( ~ leq(u,v)
| equal(addition(v,u),v) ),
inference(spr,[status(thm),theory(equality)],[11,7]),
[iquote('0:SpR:11.1,7.0')] ).
cnf(66,plain,
( ~ leq(one,multiplication(u,star(u)))
| equal(multiplication(u,star(u)),star(u)) ),
inference(spr,[status(thm),theory(equality)],[11,8]),
[iquote('0:SpR:11.1,8.0')] ).
cnf(75,plain,
( ~ equal(u,u)
| leq(u,u) ),
inference(spl,[status(thm),theory(equality)],[2,12]),
[iquote('0:SpL:2.0,12.0')] ).
cnf(79,plain,
( ~ equal(u,u)
| leq(zero,u) ),
inference(spl,[status(thm),theory(equality)],[30,12]),
[iquote('0:SpL:30.0,12.0')] ).
cnf(85,plain,
leq(u,u),
inference(obv,[status(thm),theory(equality)],[75]),
[iquote('0:Obv:75.0')] ).
cnf(86,plain,
leq(zero,u),
inference(obv,[status(thm),theory(equality)],[79]),
[iquote('0:Obv:79.0')] ).
cnf(115,plain,
( ~ leq(u,v)
| ~ leq(v,u)
| equal(v,u) ),
inference(spr,[status(thm),theory(equality)],[60,11]),
[iquote('0:SpR:60.1,11.1')] ).
cnf(135,plain,
equal(addition(u,addition(u,v)),addition(u,v)),
inference(spr,[status(thm),theory(equality)],[2,14]),
[iquote('0:SpR:2.0,14.0')] ).
cnf(137,plain,
equal(addition(addition(u,v),w),addition(v,addition(u,w))),
inference(spr,[status(thm),theory(equality)],[7,14]),
[iquote('0:SpR:7.0,14.0')] ).
cnf(143,plain,
equal(addition(one,addition(multiplication(u,star(u)),v)),addition(star(u),v)),
inference(spr,[status(thm),theory(equality)],[8,14]),
[iquote('0:SpR:8.0,14.0')] ).
cnf(146,plain,
equal(addition(star(u),addition(multiplication(strong_iteration(u),zero),v)),addition(strong_iteration(u),v)),
inference(spr,[status(thm),theory(equality)],[13,14]),
[iquote('0:SpR:13.0,14.0')] ).
cnf(150,plain,
equal(addition(u,addition(v,w)),addition(v,addition(u,w))),
inference(rew,[status(thm),theory(equality)],[14,137]),
[iquote('0:Rew:14.0,137.0')] ).
cnf(192,plain,
( ~ equal(addition(u,v),addition(u,v))
| leq(u,addition(u,v)) ),
inference(spl,[status(thm),theory(equality)],[135,12]),
[iquote('0:SpL:135.0,12.0')] ).
cnf(197,plain,
leq(u,addition(u,v)),
inference(obv,[status(thm),theory(equality)],[192]),
[iquote('0:Obv:192.0')] ).
cnf(213,plain,
equal(addition(multiplication(one,u),multiplication(multiplication(star(v),v),u)),multiplication(star(v),u)),
inference(spr,[status(thm),theory(equality)],[9,17]),
[iquote('0:SpR:9.0,17.0')] ).
cnf(214,plain,
equal(addition(multiplication(one,u),multiplication(multiplication(v,strong_iteration(v)),u)),multiplication(strong_iteration(v),u)),
inference(spr,[status(thm),theory(equality)],[21,17]),
[iquote('0:SpR:21.0,17.0')] ).
cnf(215,plain,
equal(addition(multiplication(one,u),multiplication(multiplication(v,star(v)),u)),multiplication(star(v),u)),
inference(spr,[status(thm),theory(equality)],[8,17]),
[iquote('0:SpR:8.0,17.0')] ).
cnf(216,plain,
equal(addition(multiplication(star(u),v),multiplication(multiplication(strong_iteration(u),zero),v)),multiplication(strong_iteration(u),v)),
inference(spr,[status(thm),theory(equality)],[13,17]),
[iquote('0:SpR:13.0,17.0')] ).
cnf(224,plain,
equal(addition(u,multiplication(star(v),multiplication(v,u))),multiplication(star(v),u)),
inference(rew,[status(thm),theory(equality)],[4,213,15]),
[iquote('0:Rew:4.0,213.0,15.0,213.0')] ).
cnf(225,plain,
equal(addition(u,multiplication(v,multiplication(strong_iteration(v),u))),multiplication(strong_iteration(v),u)),
inference(rew,[status(thm),theory(equality)],[4,214,15]),
[iquote('0:Rew:4.0,214.0,15.0,214.0')] ).
cnf(226,plain,
equal(addition(u,multiplication(v,multiplication(star(v),u))),multiplication(star(v),u)),
inference(rew,[status(thm),theory(equality)],[4,215,15]),
[iquote('0:Rew:4.0,215.0,15.0,215.0')] ).
cnf(227,plain,
equal(addition(multiplication(strong_iteration(u),zero),multiplication(star(u),v)),multiplication(strong_iteration(u),v)),
inference(rew,[status(thm),theory(equality)],[7,216,5,15]),
[iquote('0:Rew:7.0,216.0,5.0,216.0,15.0,216.0')] ).
cnf(233,plain,
leq(u,addition(v,u)),
inference(spr,[status(thm),theory(equality)],[7,197]),
[iquote('0:SpR:7.0,197.0')] ).
cnf(238,plain,
leq(one,star(u)),
inference(spr,[status(thm),theory(equality)],[9,197]),
[iquote('0:SpR:9.0,197.0')] ).
cnf(255,plain,
equal(addition(multiplication(u,v),multiplication(u,zero)),multiplication(u,v)),
inference(spr,[status(thm),theory(equality)],[1,16]),
[iquote('0:SpR:1.0,16.0')] ).
cnf(257,plain,
( ~ leq(u,v)
| equal(addition(multiplication(w,u),multiplication(w,v)),multiplication(w,v)) ),
inference(spr,[status(thm),theory(equality)],[11,16]),
[iquote('0:SpR:11.1,16.0')] ).
cnf(263,plain,
equal(addition(multiplication(u,one),multiplication(u,multiplication(star(v),v))),multiplication(u,star(v))),
inference(spr,[status(thm),theory(equality)],[9,16]),
[iquote('0:SpR:9.0,16.0')] ).
cnf(264,plain,
equal(addition(multiplication(u,one),multiplication(u,multiplication(v,strong_iteration(v)))),multiplication(u,strong_iteration(v))),
inference(spr,[status(thm),theory(equality)],[21,16]),
[iquote('0:SpR:21.0,16.0')] ).
cnf(266,plain,
equal(addition(multiplication(u,star(v)),multiplication(u,multiplication(strong_iteration(v),zero))),multiplication(u,strong_iteration(v))),
inference(spr,[status(thm),theory(equality)],[13,16]),
[iquote('0:SpR:13.0,16.0')] ).
cnf(273,plain,
equal(addition(u,multiplication(u,multiplication(star(v),v))),multiplication(u,star(v))),
inference(rew,[status(thm),theory(equality)],[3,263]),
[iquote('0:Rew:3.0,263.0')] ).
cnf(274,plain,
equal(addition(u,multiplication(u,multiplication(v,strong_iteration(v)))),multiplication(u,strong_iteration(v))),
inference(rew,[status(thm),theory(equality)],[3,264]),
[iquote('0:Rew:3.0,264.0')] ).
cnf(289,plain,
leq(multiplication(u,strong_iteration(u)),strong_iteration(u)),
inference(spr,[status(thm),theory(equality)],[21,233]),
[iquote('0:SpR:21.0,233.0')] ).
cnf(290,plain,
leq(multiplication(u,star(u)),star(u)),
inference(spr,[status(thm),theory(equality)],[8,233]),
[iquote('0:SpR:8.0,233.0')] ).
cnf(292,plain,
leq(u,addition(v,addition(w,u))),
inference(spr,[status(thm),theory(equality)],[14,233]),
[iquote('0:SpR:14.0,233.0')] ).
cnf(335,plain,
( ~ leq(multiplication(u,v),w)
| ~ leq(w,v)
| leq(multiplication(star(u),w),v) ),
inference(spl,[status(thm),theory(equality)],[11,18]),
[iquote('0:SpL:11.1,18.0')] ).
cnf(370,plain,
leq(u,addition(v,addition(u,w))),
inference(spr,[status(thm),theory(equality)],[7,292]),
[iquote('0:SpR:7.0,292.0')] ).
cnf(400,plain,
( ~ leq(multiplication(u,v),w)
| ~ leq(w,u)
| leq(multiplication(w,star(v)),u) ),
inference(spl,[status(thm),theory(equality)],[11,19]),
[iquote('0:SpL:11.1,19.0')] ).
cnf(401,plain,
( ~ leq(addition(u,multiplication(v,w)),v)
| leq(multiplication(u,star(w)),v) ),
inference(spl,[status(thm),theory(equality)],[7,19]),
[iquote('0:SpL:7.0,19.0')] ).
cnf(421,plain,
leq(one,addition(u,star(v))),
inference(spr,[status(thm),theory(equality)],[9,370]),
[iquote('0:SpR:9.0,370.0')] ).
cnf(441,plain,
leq(one,addition(star(u),v)),
inference(spr,[status(thm),theory(equality)],[7,421]),
[iquote('0:SpR:7.0,421.0')] ).
cnf(565,plain,
equal(addition(u,multiplication(u,zero)),u),
inference(spr,[status(thm),theory(equality)],[3,255]),
[iquote('0:SpR:3.0,255.0')] ).
cnf(957,plain,
equal(addition(one,addition(u,multiplication(v,star(v)))),addition(u,star(v))),
inference(spr,[status(thm),theory(equality)],[8,150]),
[iquote('0:SpR:8.0,150.0')] ).
cnf(1870,plain,
( ~ leq(multiplication(u,star(u)),v)
| equal(addition(star(u),v),addition(one,v)) ),
inference(spr,[status(thm),theory(equality)],[11,143]),
[iquote('0:SpR:11.1,143.0')] ).
cnf(2003,plain,
leq(u,addition(v,multiplication(star(w),u))),
inference(spr,[status(thm),theory(equality)],[224,370]),
[iquote('0:SpR:224.0,370.0')] ).
cnf(2007,plain,
leq(one,multiplication(star(u),star(v))),
inference(spr,[status(thm),theory(equality)],[224,441]),
[iquote('0:SpR:224.0,441.0')] ).
cnf(2086,plain,
equal(multiplication(u,multiplication(strong_iteration(u),zero)),multiplication(strong_iteration(u),zero)),
inference(spr,[status(thm),theory(equality)],[225,30]),
[iquote('0:SpR:225.0,30.0')] ).
cnf(2316,plain,
leq(u,star(u)),
inference(spr,[status(thm),theory(equality)],[9,2003]),
[iquote('0:SpR:9.0,2003.0')] ).
cnf(2348,plain,
equal(multiplication(star(u),u),multiplication(u,star(u))),
inference(spr,[status(thm),theory(equality)],[273,226]),
[iquote('0:SpR:273.0,226.0')] ).
cnf(3353,plain,
equal(multiplication(star(u),star(star(u))),star(star(u))),
inference(res,[status(thm),theory(equality)],[2007,66]),
[iquote('0:Res:2007.0,66.0')] ).
cnf(3744,plain,
equal(multiplication(star(u),multiplication(strong_iteration(u),zero)),multiplication(strong_iteration(u),multiplication(u,multiplication(strong_iteration(u),zero)))),
inference(spr,[status(thm),theory(equality)],[227,224]),
[iquote('0:SpR:227.0,224.0')] ).
cnf(3777,plain,
equal(multiplication(star(u),multiplication(strong_iteration(u),zero)),multiplication(strong_iteration(u),multiplication(strong_iteration(u),zero))),
inference(rew,[status(thm),theory(equality)],[2086,3744]),
[iquote('0:Rew:2086.0,3744.0')] ).
cnf(4264,plain,
( ~ leq(multiplication(u,strong_iteration(v)),u)
| leq(multiplication(u,star(multiplication(v,strong_iteration(v)))),u) ),
inference(spl,[status(thm),theory(equality)],[274,401]),
[iquote('0:SpL:274.0,401.0')] ).
cnf(6452,plain,
( ~ leq(zero,u)
| equal(addition(star(v),multiplication(strong_iteration(v),u)),addition(strong_iteration(v),multiplication(strong_iteration(v),u))) ),
inference(spr,[status(thm),theory(equality)],[257,146]),
[iquote('0:SpR:257.1,146.0')] ).
cnf(6464,plain,
( ~ leq(one,u)
| equal(addition(v,multiplication(v,u)),multiplication(v,u)) ),
inference(spr,[status(thm),theory(equality)],[3,257]),
[iquote('0:SpR:3.0,257.1')] ).
cnf(6491,plain,
equal(addition(star(u),multiplication(strong_iteration(u),v)),addition(strong_iteration(u),multiplication(strong_iteration(u),v))),
inference(mrr,[status(thm)],[6452,86]),
[iquote('0:MRR:6452.0,86.0')] ).
cnf(7084,plain,
( ~ leq(strong_iteration(u),strong_iteration(u))
| leq(multiplication(star(u),strong_iteration(u)),strong_iteration(u)) ),
inference(res,[status(thm),theory(equality)],[289,335]),
[iquote('0:Res:289.0,335.0')] ).
cnf(7086,plain,
( ~ leq(star(u),star(u))
| leq(multiplication(star(u),star(u)),star(u)) ),
inference(res,[status(thm),theory(equality)],[290,335]),
[iquote('0:Res:290.0,335.0')] ).
cnf(7120,plain,
leq(multiplication(star(u),strong_iteration(u)),strong_iteration(u)),
inference(mrr,[status(thm)],[7084,85]),
[iquote('0:MRR:7084.0,85.0')] ).
cnf(7121,plain,
leq(multiplication(star(u),star(u)),star(u)),
inference(mrr,[status(thm)],[7086,85]),
[iquote('0:MRR:7086.0,85.0')] ).
cnf(7500,plain,
( ~ leq(star(u),star(u))
| leq(multiplication(star(u),star(star(u))),star(u)) ),
inference(res,[status(thm),theory(equality)],[7121,400]),
[iquote('0:Res:7121.0,400.0')] ).
cnf(7514,plain,
( ~ leq(star(u),star(u))
| leq(star(star(u)),star(u)) ),
inference(rew,[status(thm),theory(equality)],[3353,7500]),
[iquote('0:Rew:3353.0,7500.1')] ).
cnf(7515,plain,
leq(star(star(u)),star(u)),
inference(mrr,[status(thm)],[7514,85]),
[iquote('0:MRR:7514.0,85.0')] ).
cnf(9708,plain,
equal(addition(multiplication(star(u),star(star(u))),multiplication(star(star(u)),multiplication(strong_iteration(u),zero))),multiplication(star(star(u)),strong_iteration(u))),
inference(spr,[status(thm),theory(equality)],[2348,266]),
[iquote('0:SpR:2348.0,266.0')] ).
cnf(9850,plain,
equal(addition(star(star(u)),multiplication(star(star(u)),multiplication(strong_iteration(u),zero))),multiplication(star(star(u)),strong_iteration(u))),
inference(rew,[status(thm),theory(equality)],[3353,9708]),
[iquote('0:Rew:3353.0,9708.0')] ).
cnf(20628,plain,
( ~ leq(strong_iteration(u),multiplication(star(u),strong_iteration(u)))
| equal(multiplication(star(u),strong_iteration(u)),strong_iteration(u)) ),
inference(res,[status(thm),theory(equality)],[7120,115]),
[iquote('0:Res:7120.0,115.0')] ).
cnf(20645,plain,
( ~ leq(star(u),star(star(u)))
| equal(star(star(u)),star(u)) ),
inference(res,[status(thm),theory(equality)],[7515,115]),
[iquote('0:Res:7515.0,115.0')] ).
cnf(20658,plain,
equal(star(star(u)),star(u)),
inference(mrr,[status(thm)],[20645,2316]),
[iquote('0:MRR:20645.0,2316.0')] ).
cnf(20703,plain,
equal(addition(star(u),multiplication(star(u),multiplication(strong_iteration(u),zero))),multiplication(star(u),strong_iteration(u))),
inference(rew,[status(thm),theory(equality)],[20658,9850]),
[iquote('0:Rew:20658.0,9850.0')] ).
cnf(20735,plain,
equal(multiplication(star(u),strong_iteration(u)),addition(strong_iteration(u),multiplication(strong_iteration(u),multiplication(strong_iteration(u),zero)))),
inference(rew,[status(thm),theory(equality)],[6491,20703,3777]),
[iquote('0:Rew:6491.0,20703.0,3777.0,20703.0')] ).
cnf(20741,plain,
( ~ leq(strong_iteration(u),addition(strong_iteration(u),multiplication(strong_iteration(u),multiplication(strong_iteration(u),zero))))
| equal(addition(strong_iteration(u),multiplication(strong_iteration(u),multiplication(strong_iteration(u),zero))),strong_iteration(u)) ),
inference(rew,[status(thm),theory(equality)],[20735,20628]),
[iquote('0:Rew:20735.0,20628.1,20735.0,20628.0')] ).
cnf(20742,plain,
equal(addition(strong_iteration(u),multiplication(strong_iteration(u),multiplication(strong_iteration(u),zero))),strong_iteration(u)),
inference(mrr,[status(thm)],[20741,197]),
[iquote('0:MRR:20741.0,197.0')] ).
cnf(20743,plain,
equal(multiplication(star(u),strong_iteration(u)),strong_iteration(u)),
inference(rew,[status(thm),theory(equality)],[20742,20735]),
[iquote('0:Rew:20742.0,20735.0')] ).
cnf(21136,plain,
equal(multiplication(strong_iteration(u),strong_iteration(u)),addition(multiplication(strong_iteration(u),zero),strong_iteration(u))),
inference(spr,[status(thm),theory(equality)],[20743,227]),
[iquote('0:SpR:20743.0,227.0')] ).
cnf(21229,plain,
equal(multiplication(strong_iteration(u),strong_iteration(u)),strong_iteration(u)),
inference(rew,[status(thm),theory(equality)],[565,21136,7]),
[iquote('0:Rew:565.0,21136.0,7.0,21136.0')] ).
cnf(32809,plain,
( ~ leq(one,star(u))
| equal(addition(one,multiplication(u,star(u))),addition(u,star(u))) ),
inference(spr,[status(thm),theory(equality)],[6464,957]),
[iquote('0:SpR:6464.1,957.0')] ).
cnf(32966,plain,
( ~ leq(one,star(u))
| equal(addition(u,star(u)),star(u)) ),
inference(rew,[status(thm),theory(equality)],[8,32809]),
[iquote('0:Rew:8.0,32809.1')] ).
cnf(32967,plain,
equal(addition(u,star(u)),star(u)),
inference(mrr,[status(thm)],[32966,238]),
[iquote('0:MRR:32966.0,238.0')] ).
cnf(121045,plain,
( ~ leq(multiplication(multiplication(u,strong_iteration(u)),strong_iteration(u)),multiplication(u,strong_iteration(u)))
| equal(addition(star(multiplication(u,strong_iteration(u))),multiplication(u,strong_iteration(u))),addition(one,multiplication(u,strong_iteration(u)))) ),
inference(res,[status(thm),theory(equality)],[4264,1870]),
[iquote('0:Res:4264.1,1870.0')] ).
cnf(121100,plain,
( ~ leq(multiplication(u,strong_iteration(u)),multiplication(u,strong_iteration(u)))
| equal(star(multiplication(u,strong_iteration(u))),strong_iteration(u)) ),
inference(rew,[status(thm),theory(equality)],[32967,121045,7,21,21229,15]),
[iquote('0:Rew:32967.0,121045.1,7.0,121045.1,21.0,121045.1,21229.0,121045.0,15.0,121045.0')] ).
cnf(121101,plain,
equal(star(multiplication(u,strong_iteration(u))),strong_iteration(u)),
inference(mrr,[status(thm)],[121100,85]),
[iquote('0:MRR:121100.0,85.0')] ).
cnf(121284,plain,
equal(star(strong_iteration(u)),strong_iteration(u)),
inference(spr,[status(thm),theory(equality)],[121101,20658]),
[iquote('0:SpR:121101.0,20658.0')] ).
cnf(121602,plain,
$false,
inference(unc,[status(thm)],[121284,6]),
[iquote('0:UnC:121284.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE145+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 : Thu Jun 16 09:08:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 137.40/137.68
% 137.40/137.68 SPASS V 3.9
% 137.40/137.68 SPASS beiseite: Proof found.
% 137.40/137.68 % SZS status Theorem
% 137.40/137.68 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.40/137.68 SPASS derived 88520 clauses, backtracked 0 clauses, performed 0 splits and kept 18460 clauses.
% 137.40/137.68 SPASS allocated 168721 KBytes.
% 137.40/137.68 SPASS spent 0:2:17.22 on the problem.
% 137.40/137.68 0:00:00.03 for the input.
% 137.40/137.68 0:00:00.03 for the FLOTTER CNF translation.
% 137.40/137.68 0:00:00.66 for inferences.
% 137.40/137.68 0:00:00.00 for the backtracking.
% 137.40/137.68 0:2:16.20 for the reduction.
% 137.40/137.68
% 137.40/137.68
% 137.40/137.68 Here is a proof with depth 9, length 103 :
% 137.40/137.68 % SZS output start Refutation
% See solution above
% 138.67/138.94 Formulae used in the proof : additive_identity idempotence multiplicative_right_identity multiplicative_left_identity left_annihilation goals additive_commutativity star_unfold1 star_unfold2 infty_unfold1 order isolation additive_associativity multiplicative_associativity distributivity1 distributivity2 star_induction1 star_induction2
% 138.67/138.94
%------------------------------------------------------------------------------