TSTP Solution File: LCL093-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 14:34:33 EDT 2022
% Result : Unsatisfiable 151.83s 152.19s
% Output : Refutation 155.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 3
% Syntax : Number of clauses : 117 ( 64 unt; 0 nHn; 117 RR)
% Number of literals : 178 ( 0 equ; 62 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
file('LCL093-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)),implies__dfg(implies__dfg(x,u),implies__dfg(y,implies__dfg(w,u))))),
file('LCL093-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(implies__dfg(implies__dfg(a,b),implies__dfg(implies__dfg(b,c),implies__dfg(a,c)))),
file('LCL093-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)))
| is_a_theorem(implies__dfg(implies__dfg(x,u),implies__dfg(y,implies__dfg(w,u)))) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.0,1.1')] ).
cnf(8,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(w,x)),implies__dfg(y,implies__dfg(implies__dfg(z,w),implies__dfg(w,x))))),
inference(sor,[status(thm)],[7,2]),
[iquote('0:SoR:7.0,2.0')] ).
cnf(9,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(v,w)),implies__dfg(x,implies__dfg(y,v))),implies__dfg(z,implies__dfg(x1,implies__dfg(x,implies__dfg(y,v)))))),
inference(sor,[status(thm)],[7,8]),
[iquote('0:SoR:7.0,8.0')] ).
cnf(10,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(w,x)))
| is_a_theorem(implies__dfg(y,implies__dfg(implies__dfg(z,w),implies__dfg(w,x)))) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.1')] ).
cnf(11,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(implies__dfg(x,y),implies__dfg(y,w)))))),
inference(sor,[status(thm)],[10,8]),
[iquote('0:SoR:10.0,8.0')] ).
cnf(14,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(implies__dfg(x,y),implies__dfg(y,w))))) ),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.1')] ).
cnf(15,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(v,implies__dfg(implies__dfg(w,x),implies__dfg(x,v))))),
inference(ems,[status(thm)],[14,11]),
[iquote('0:EmS:14.0,11.0')] ).
cnf(18,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(v,w)),x),implies__dfg(y,implies__dfg(w,x)))),
inference(sor,[status(thm)],[7,15]),
[iquote('0:SoR:7.0,15.0')] ).
cnf(20,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,x))),implies__dfg(implies__dfg(y,x),implies__dfg(x,z))),implies__dfg(x1,implies__dfg(x2,implies__dfg(implies__dfg(y,x),implies__dfg(x,z)))))),
inference(sor,[status(thm)],[7,9]),
[iquote('0:SoR:7.0,9.0')] ).
cnf(30,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(x,implies__dfg(y,w)))))),
inference(sor,[status(thm)],[10,18]),
[iquote('0:SoR:10.0,18.0')] ).
cnf(35,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(x,implies__dfg(y,w))))) ),
inference(res,[status(thm),theory(equality)],[30,1]),
[iquote('0:Res:30.0,1.1')] ).
cnf(36,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(v,implies__dfg(w,implies__dfg(x,v))))),
inference(ems,[status(thm)],[35,30]),
[iquote('0:EmS:35.0,30.0')] ).
cnf(44,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),x),implies__dfg(y,implies__dfg(w,x)))),
inference(sor,[status(thm)],[7,36]),
[iquote('0:SoR:7.0,36.0')] ).
cnf(45,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,v)))) ),
inference(res,[status(thm),theory(equality)],[36,1]),
[iquote('0:Res:36.0,1.1')] ).
cnf(51,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(x,implies__dfg(y,implies__dfg(u,implies__dfg(v,w)))))),
inference(sor,[status(thm)],[45,44]),
[iquote('0:SoR:45.0,44.0')] ).
cnf(54,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),x))
| is_a_theorem(implies__dfg(y,implies__dfg(w,x))) ),
inference(res,[status(thm),theory(equality)],[44,1]),
[iquote('0:Res:44.0,1.1')] ).
cnf(56,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,implies__dfg(y,v)))))),
inference(sor,[status(thm)],[54,44]),
[iquote('0:SoR:54.0,44.0')] ).
cnf(60,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(v,w),implies__dfg(x,implies__dfg(y,w)))))),
inference(sor,[status(thm)],[54,2]),
[iquote('0:SoR:54.0,2.0')] ).
cnf(62,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,x))),implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))),implies__dfg(x2,implies__dfg(x3,implies__dfg(y,implies__dfg(z,implies__dfg(x1,w))))))),
inference(sor,[status(thm)],[7,20]),
[iquote('0:SoR:7.0,20.0')] ).
cnf(65,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,x))),implies__dfg(implies__dfg(y,x),implies__dfg(x,z))))
| is_a_theorem(implies__dfg(x1,implies__dfg(x2,implies__dfg(implies__dfg(y,x),implies__dfg(x,z))))) ),
inference(res,[status(thm),theory(equality)],[20,1]),
[iquote('0:Res:20.0,1.1')] ).
cnf(71,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,implies__dfg(y,v))))) ),
inference(res,[status(thm),theory(equality)],[56,1]),
[iquote('0:Res:56.0,1.1')] ).
cnf(72,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,u))))),
inference(ems,[status(thm)],[71,56]),
[iquote('0:EmS:71.0,56.0')] ).
cnf(84,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,u)))) ),
inference(res,[status(thm),theory(equality)],[72,1]),
[iquote('0:Res:72.0,1.1')] ).
cnf(90,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(w,implies__dfg(x,u))) ),
inference(res,[status(thm),theory(equality)],[84,1]),
[iquote('0:Res:84.1,1.1')] ).
cnf(92,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,u))) ),
inference(con,[status(thm)],[90]),
[iquote('0:Con:90.1')] ).
cnf(101,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),x),implies__dfg(x,implies__dfg(y,x)))))),
inference(sor,[status(thm)],[65,2]),
[iquote('0:SoR:65.0,2.0')] ).
cnf(108,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(w,u)) ),
inference(res,[status(thm),theory(equality)],[92,1]),
[iquote('0:Res:92.1,1.1')] ).
cnf(110,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,u)) ),
inference(con,[status(thm)],[108]),
[iquote('0:Con:108.1')] ).
cnf(113,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(x,implies__dfg(u,w)))) ),
inference(sor,[status(thm)],[7,110]),
[iquote('0:SoR:7.0,110.1')] ).
cnf(121,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,y)))),implies__dfg(z,implies__dfg(implies__dfg(x1,y),implies__dfg(y,x2)))),implies__dfg(x3,implies__dfg(x4,implies__dfg(z,implies__dfg(implies__dfg(x1,y),implies__dfg(y,x2))))))),
inference(sor,[status(thm)],[7,62]),
[iquote('0:SoR:7.0,62.0')] ).
cnf(125,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,x))),implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))))
| is_a_theorem(implies__dfg(x2,implies__dfg(x3,implies__dfg(y,implies__dfg(z,implies__dfg(x1,w)))))) ),
inference(res,[status(thm),theory(equality)],[62,1]),
[iquote('0:Res:62.0,1.1')] ).
cnf(168,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),x),implies__dfg(x,implies__dfg(y,x))))) ),
inference(res,[status(thm),theory(equality)],[101,1]),
[iquote('0:Res:101.0,1.1')] ).
cnf(172,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,implies__dfg(x,v))),y),implies__dfg(z,implies__dfg(u,y)))),
inference(sor,[status(thm)],[7,60]),
[iquote('0:SoR:7.0,60.0')] ).
cnf(219,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),implies__dfg(y,implies__dfg(implies__dfg(z,w),w)))))),
inference(sor,[status(thm)],[125,2]),
[iquote('0:SoR:125.0,2.0')] ).
cnf(292,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(w,x),implies__dfg(x,y)))),implies__dfg(z,implies__dfg(x1,implies__dfg(x2,implies__dfg(x3,x))))),implies__dfg(x4,implies__dfg(x5,implies__dfg(z,implies__dfg(x1,implies__dfg(x2,implies__dfg(x3,x)))))))),
inference(sor,[status(thm)],[7,121]),
[iquote('0:SoR:7.0,121.0')] ).
cnf(355,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),w),implies__dfg(w,implies__dfg(x,w))))),
inference(ems,[status(thm)],[168,51]),
[iquote('0:EmS:168.0,51.0')] ).
cnf(398,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),w),implies__dfg(w,implies__dfg(x,w)))) ),
inference(res,[status(thm),theory(equality)],[355,1]),
[iquote('0:Res:355.0,1.1')] ).
cnf(400,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),v),implies__dfg(v,implies__dfg(w,v)))),
inference(ems,[status(thm)],[398,51]),
[iquote('0:EmS:398.0,51.0')] ).
cnf(429,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(x,implies__dfg(v,implies__dfg(w,v))))),
inference(sor,[status(thm)],[7,400]),
[iquote('0:SoR:7.0,400.0')] ).
cnf(499,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),implies__dfg(y,implies__dfg(implies__dfg(z,w),w))))) ),
inference(res,[status(thm),theory(equality)],[219,1]),
[iquote('0:Res:219.0,1.1')] ).
cnf(561,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)))
| is_a_theorem(implies__dfg(x,implies__dfg(v,implies__dfg(w,v)))) ),
inference(res,[status(thm),theory(equality)],[429,1]),
[iquote('0:Res:429.0,1.1')] ).
cnf(875,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,implies__dfg(implies__dfg(y,v),v))))),
inference(ems,[status(thm)],[499,292]),
[iquote('0:EmS:499.0,292.0')] ).
cnf(935,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,implies__dfg(implies__dfg(y,v),v)))) ),
inference(res,[status(thm),theory(equality)],[875,1]),
[iquote('0:Res:875.0,1.1')] ).
cnf(1068,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,implies__dfg(implies__dfg(x,u),u)))),
inference(ems,[status(thm)],[935,292]),
[iquote('0:EmS:935.0,292.0')] ).
cnf(1124,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(implies__dfg(w,implies__dfg(implies__dfg(x,u),u))) ),
inference(res,[status(thm),theory(equality)],[1068,1]),
[iquote('0:Res:1068.0,1.1')] ).
cnf(1159,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,implies__dfg(w,implies__dfg(x,x))),implies__dfg(w,implies__dfg(x,x))))),
inference(sor,[status(thm)],[1124,44]),
[iquote('0:SoR:1124.0,44.0')] ).
cnf(1220,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,implies__dfg(w,implies__dfg(x,x))),implies__dfg(w,implies__dfg(x,x)))) ),
inference(res,[status(thm),theory(equality)],[1159,1]),
[iquote('0:Res:1159.0,1.1')] ).
cnf(1222,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,w))),implies__dfg(v,implies__dfg(w,w)))),
inference(ems,[status(thm)],[1220,1068]),
[iquote('0:EmS:1220.0,1068.0')] ).
cnf(1277,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),implies__dfg(w,implies__dfg(x,v)))),
inference(sor,[status(thm)],[7,1222]),
[iquote('0:SoR:7.0,1222.0')] ).
cnf(1288,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w))))
| is_a_theorem(implies__dfg(v,implies__dfg(w,w))) ),
inference(res,[status(thm),theory(equality)],[1222,1]),
[iquote('0:Res:1222.0,1.1')] ).
cnf(1597,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(implies__dfg(w,implies__dfg(x,v))) ),
inference(res,[status(thm),theory(equality)],[1277,1]),
[iquote('0:Res:1277.0,1.1')] ).
cnf(1736,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,x))))),
inference(sor,[status(thm)],[1597,1222]),
[iquote('0:SoR:1597.0,1222.0')] ).
cnf(1806,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,x)))) ),
inference(res,[status(thm),theory(equality)],[1736,1]),
[iquote('0:Res:1736.0,1.1')] ).
cnf(1808,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w)))),
inference(ems,[status(thm)],[1806,1277]),
[iquote('0:EmS:1806.0,1277.0')] ).
cnf(1862,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,v))),
inference(mrr,[status(thm)],[1288,1808]),
[iquote('0:MRR:1288.0,1808.0')] ).
cnf(1906,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,v)) ),
inference(res,[status(thm),theory(equality)],[1862,1]),
[iquote('0:Res:1862.0,1.1')] ).
cnf(1908,plain,
is_a_theorem(implies__dfg(u,u)),
inference(ems,[status(thm)],[1906,1277]),
[iquote('0:EmS:1906.0,1277.0')] ).
cnf(1975,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,v)))),
inference(sor,[status(thm)],[561,1908]),
[iquote('0:SoR:561.0,1908.0')] ).
cnf(2063,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(x,implies__dfg(v,w)))),
inference(sor,[status(thm)],[7,1975]),
[iquote('0:SoR:7.0,1975.0')] ).
cnf(2079,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[1975,1]),
[iquote('0:Res:1975.0,1.1')] ).
cnf(2080,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,u))),
inference(ems,[status(thm)],[2079,1908]),
[iquote('0:EmS:2079.0,1908.0')] ).
cnf(2133,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,implies__dfg(x,u)))),
inference(sor,[status(thm)],[7,2080]),
[iquote('0:SoR:7.0,2080.0')] ).
cnf(2295,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,u)),implies__dfg(x,implies__dfg(y,implies__dfg(w,u))))),
inference(sor,[status(thm)],[7,2063]),
[iquote('0:SoR:7.0,2063.0')] ).
cnf(2305,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),w))
| is_a_theorem(implies__dfg(x,implies__dfg(v,w))) ),
inference(res,[status(thm),theory(equality)],[2063,1]),
[iquote('0:Res:2063.0,1.1')] ).
cnf(2317,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(implies__dfg(w,implies__dfg(x,u))) ),
inference(res,[status(thm),theory(equality)],[2133,1]),
[iquote('0:Res:2133.0,1.1')] ).
cnf(2373,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(implies__dfg(w,x),implies__dfg(y,implies__dfg(v,x)))))),
inference(sor,[status(thm)],[2305,2]),
[iquote('0:SoR:2305.0,2.0')] ).
cnf(2936,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,u)))
| is_a_theorem(implies__dfg(x,implies__dfg(y,implies__dfg(w,u)))) ),
inference(res,[status(thm),theory(equality)],[2295,1]),
[iquote('0:Res:2295.0,1.1')] ).
cnf(2995,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(implies__dfg(w,x),implies__dfg(y,implies__dfg(v,x))))) ),
inference(res,[status(thm),theory(equality)],[2373,1]),
[iquote('0:Res:2373.0,1.1')] ).
cnf(3943,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(v,w),implies__dfg(x,implies__dfg(u,w))))),
inference(ems,[status(thm)],[2995,1908]),
[iquote('0:EmS:2995.0,1908.0')] ).
cnf(4532,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(w,x),implies__dfg(w,implies__dfg(y,x)))))),
inference(sor,[status(thm)],[2317,172]),
[iquote('0:SoR:2317.0,172.0')] ).
cnf(4567,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(w,x),implies__dfg(w,implies__dfg(y,x))))) ),
inference(res,[status(thm),theory(equality)],[4532,1]),
[iquote('0:Res:4532.0,1.1')] ).
cnf(4568,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(v,implies__dfg(x,w))))),
inference(ems,[status(thm)],[4567,1908]),
[iquote('0:EmS:4567.0,1908.0')] ).
cnf(4653,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),x),implies__dfg(y,implies__dfg(implies__dfg(u,w),x)))),
inference(sor,[status(thm)],[7,4568]),
[iquote('0:SoR:7.0,4568.0')] ).
cnf(5997,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(implies__dfg(w,x),x))))),
inference(sor,[status(thm)],[2317,4653]),
[iquote('0:SoR:2317.0,4653.0')] ).
cnf(6037,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(implies__dfg(w,x),x)))) ),
inference(res,[status(thm),theory(equality)],[5997,1]),
[iquote('0:Res:5997.0,1.1')] ).
cnf(6121,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(v,w),w)))),
inference(ems,[status(thm)],[6037,1908]),
[iquote('0:EmS:6037.0,1908.0')] ).
cnf(6226,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),w),implies__dfg(x,implies__dfg(u,w)))),
inference(sor,[status(thm)],[7,6121]),
[iquote('0:SoR:7.0,6121.0')] ).
cnf(6257,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(v,w),w))) ),
inference(res,[status(thm),theory(equality)],[6121,1]),
[iquote('0:Res:6121.0,1.1')] ).
cnf(6258,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,v),v))),
inference(ems,[status(thm)],[6257,1908]),
[iquote('0:EmS:6257.0,1908.0')] ).
cnf(6364,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,implies__dfg(implies__dfg(implies__dfg(v,x),u),v)))),
inference(sor,[status(thm)],[7,6258]),
[iquote('0:SoR:7.0,6258.0')] ).
cnf(6384,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,w),x),x)))),
inference(sor,[status(thm)],[1597,6258]),
[iquote('0:SoR:1597.0,6258.0')] ).
cnf(6388,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),w)))),
inference(sor,[status(thm)],[2936,6258]),
[iquote('0:SoR:2936.0,6258.0')] ).
cnf(6389,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(u,v),v)) ),
inference(res,[status(thm),theory(equality)],[6258,1]),
[iquote('0:Res:6258.0,1.1')] ).
cnf(6430,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(x,implies__dfg(implies__dfg(u,v),w)))) ),
inference(sor,[status(thm)],[113,6389]),
[iquote('0:SoR:113.0,6389.1')] ).
cnf(6463,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
inference(res,[status(thm),theory(equality)],[6389,1]),
[iquote('0:Res:6389.1,1.1')] ).
cnf(7009,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,w),x),x))) ),
inference(sor,[status(thm)],[6463,6384]),
[iquote('0:SoR:6463.1,6384.0')] ).
cnf(7315,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,v),w),w))),
inference(ems,[status(thm)],[7009,1908]),
[iquote('0:EmS:7009.0,1908.0')] ).
cnf(7429,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,v),w),w)) ),
inference(sor,[status(thm)],[6463,7315]),
[iquote('0:SoR:6463.1,7315.0')] ).
cnf(7508,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),v)),
inference(ems,[status(thm)],[7429,1908]),
[iquote('0:EmS:7429.0,1908.0')] ).
cnf(7624,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(v) ),
inference(sor,[status(thm)],[6463,7508]),
[iquote('0:SoR:6463.1,7508.0')] ).
cnf(7702,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),v))),
inference(sor,[status(thm)],[7624,6388]),
[iquote('0:SoR:7624.0,6388.0')] ).
cnf(7933,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),u)),
inference(sor,[status(thm)],[7624,7702]),
[iquote('0:SoR:7624.0,7702.0')] ).
cnf(7947,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(u) ),
inference(sor,[status(thm)],[6463,7933]),
[iquote('0:SoR:6463.1,7933.0')] ).
cnf(10258,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(u,v))),
inference(sor,[status(thm)],[7947,6226]),
[iquote('0:SoR:7947.0,6226.0')] ).
cnf(10264,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(u,v)))
| is_a_theorem(implies__dfg(u,v)) ),
inference(sor,[status(thm)],[6463,10258]),
[iquote('0:SoR:6463.1,10258.0')] ).
cnf(10317,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),w),implies__dfg(u,w))),
inference(sor,[status(thm)],[10264,6226]),
[iquote('0:SoR:10264.0,6226.0')] ).
cnf(10842,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),v),w))
| is_a_theorem(implies__dfg(u,w)) ),
inference(sor,[status(thm)],[6463,10317]),
[iquote('0:SoR:6463.1,10317.0')] ).
cnf(12031,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),w),w))),
inference(sor,[status(thm)],[10842,6258]),
[iquote('0:SoR:10842.0,6258.0')] ).
cnf(12372,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),w),w)) ),
inference(sor,[status(thm)],[6463,12031]),
[iquote('0:SoR:6463.1,12031.0')] ).
cnf(13551,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),v),w))
| ~ is_a_theorem(u)
| is_a_theorem(w) ),
inference(sor,[status(thm)],[6463,12372]),
[iquote('0:SoR:6463.1,12372.1')] ).
cnf(14182,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(implies__dfg(v,w),u),v))),
inference(sor,[status(thm)],[10264,6364]),
[iquote('0:SoR:10264.0,6364.0')] ).
cnf(14238,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,implies__dfg(implies__dfg(implies__dfg(u,x),v),v)))),
inference(sor,[status(thm)],[7,14182]),
[iquote('0:SoR:7.0,14182.0')] ).
cnf(26423,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(implies__dfg(u,w),v),v))),
inference(sor,[status(thm)],[10264,14238]),
[iquote('0:SoR:10264.0,14238.0')] ).
cnf(26633,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),w),v),v)) ),
inference(sor,[status(thm)],[13551,26423]),
[iquote('0:SoR:13551.0,26423.0')] ).
cnf(27205,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),v))
| ~ is_a_theorem(u)
| is_a_theorem(v) ),
inference(sor,[status(thm)],[6463,26633]),
[iquote('0:SoR:6463.1,26633.1')] ).
cnf(27779,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(u,w))))
| is_a_theorem(implies__dfg(v,implies__dfg(u,w))) ),
inference(sor,[status(thm)],[27205,6226]),
[iquote('0:SoR:27205.0,6226.0')] ).
cnf(38160,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(implies__dfg(u,v),w))) ),
inference(sor,[status(thm)],[10264,6430]),
[iquote('0:SoR:10264.0,6430.1')] ).
cnf(38316,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(implies__dfg(v,implies__dfg(u,w)),w)) ),
inference(sor,[status(thm)],[13551,38160]),
[iquote('0:SoR:13551.0,38160.1')] ).
cnf(40410,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,w)))
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(u,w)) ),
inference(sor,[status(thm)],[10842,38316]),
[iquote('0:SoR:10842.0,38316.2')] ).
cnf(70814,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(w,u),implies__dfg(w,v)))),
inference(sor,[status(thm)],[27779,3943]),
[iquote('0:SoR:27779.0,3943.0')] ).
cnf(71393,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,implies__dfg(u,w)),implies__dfg(v,w)))),
inference(sor,[status(thm)],[10842,70814]),
[iquote('0:SoR:10842.0,70814.0')] ).
cnf(71669,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,w)))
| is_a_theorem(implies__dfg(v,implies__dfg(u,w))) ),
inference(sor,[status(thm)],[40410,71393]),
[iquote('0:SoR:40410.0,71393.0')] ).
cnf(76777,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(v,w),implies__dfg(u,w)))),
inference(sor,[status(thm)],[71669,70814]),
[iquote('0:SoR:71669.0,70814.0')] ).
cnf(77195,plain,
$false,
inference(unc,[status(thm)],[76777,3]),
[iquote('0:UnC:76777.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 : Sun Jul 3 17:46:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 151.83/152.19
% 151.83/152.19 SPASS V 3.9
% 151.83/152.19 SPASS beiseite: Proof found.
% 151.83/152.19 % SZS status Theorem
% 151.83/152.19 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.83/152.19 SPASS derived 76200 clauses, backtracked 0 clauses, performed 0 splits and kept 14303 clauses.
% 151.83/152.19 SPASS allocated 161743 KBytes.
% 151.83/152.19 SPASS spent 0:2:31.77 on the problem.
% 151.83/152.19 0:00:00.04 for the input.
% 151.83/152.19 0:00:00.00 for the FLOTTER CNF translation.
% 151.83/152.19 0:00:02.29 for inferences.
% 151.83/152.19 0:00:00.00 for the backtracking.
% 151.83/152.19 0:2:29.20 for the reduction.
% 151.83/152.19
% 151.83/152.19
% 151.83/152.19 Here is a proof with depth 56, length 117 :
% 151.83/152.19 % SZS output start Refutation
% See solution above
% 155.16/155.48 Formulae used in the proof : condensed_detachment ic_JLukasiewicz_5 prove_ic_4
% 155.16/155.48
%------------------------------------------------------------------------------