TSTP Solution File: LCL092-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 1.67s 1.89s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 3
% Syntax : Number of clauses : 85 ( 52 unt; 0 nHn; 85 RR)
% Number of literals : 120 ( 0 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 11 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('LCL092-1.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('LCL092-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(a,b),a),a)),
file('LCL092-1.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(22,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(v,w)),implies__dfg(x,implies__dfg(y,v))))
| is_a_theorem(implies__dfg(z,implies__dfg(x1,implies__dfg(x,implies__dfg(y,v))))) ),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.0,1.1')] ).
cnf(29,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)],[29,1]),
[iquote('0:Res:29.0,1.1')] ).
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)],[35,29]),
[iquote('0:EmS:35.0,29.0')] ).
cnf(43,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(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)],[43,1]),
[iquote('0:Res:43.0,1.1')] ).
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)],[54,43]),
[iquote('0:SoR:54.0,43.0')] ).
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(61,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(66,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,implies__dfg(w,x))),y),implies__dfg(z,implies__dfg(x,y)))),
inference(sor,[status(thm)],[7,56]),
[iquote('0:SoR:7.0,56.0')] ).
cnf(100,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(130,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)],[61,1]),
[iquote('0:Res:61.0,1.1')] ).
cnf(156,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(171,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),v),implies__dfg(v,implies__dfg(w,v))),x),implies__dfg(y,implies__dfg(z,x)))),
inference(sor,[status(thm)],[7,100]),
[iquote('0:SoR:7.0,100.0')] ).
cnf(178,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)],[100,1]),
[iquote('0:Res:100.0,1.1')] ).
cnf(246,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)],[130,2]),
[iquote('0:SoR:130.0,2.0')] ).
cnf(373,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)],[178,66]),
[iquote('0:EmS:178.0,66.0')] ).
cnf(404,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)],[373,1]),
[iquote('0:Res:373.0,1.1')] ).
cnf(411,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),v),implies__dfg(v,implies__dfg(w,v)))),
inference(ems,[status(thm)],[404,66]),
[iquote('0:EmS:404.0,66.0')] ).
cnf(433,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)],[7,411]),
[iquote('0:SoR:7.0,411.0')] ).
cnf(521,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)],[246,1]),
[iquote('0:Res:246.0,1.1')] ).
cnf(550,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)],[433,1]),
[iquote('0:Res:433.0,1.1')] ).
cnf(926,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)],[521,171]),
[iquote('0:EmS:521.0,171.0')] ).
cnf(983,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)],[926,1]),
[iquote('0:Res:926.0,1.1')] ).
cnf(1052,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)],[983,171]),
[iquote('0:EmS:983.0,171.0')] ).
cnf(1121,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)],[1052,1]),
[iquote('0:Res:1052.0,1.1')] ).
cnf(1156,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)],[1121,43]),
[iquote('0:SoR:1121.0,43.0')] ).
cnf(1177,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)],[1156,1]),
[iquote('0:Res:1156.0,1.1')] ).
cnf(1179,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)],[1177,1052]),
[iquote('0:EmS:1177.0,1052.0')] ).
cnf(1249,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),implies__dfg(w,implies__dfg(x,v)))),
inference(sor,[status(thm)],[7,1179]),
[iquote('0:SoR:7.0,1179.0')] ).
cnf(1251,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(w,w))))),
inference(sor,[status(thm)],[22,1179]),
[iquote('0:SoR:22.0,1179.0')] ).
cnf(1264,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)],[1179,1]),
[iquote('0:Res:1179.0,1.1')] ).
cnf(1283,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(w,w)))) ),
inference(res,[status(thm),theory(equality)],[1251,1]),
[iquote('0:Res:1251.0,1.1')] ).
cnf(1305,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(v,v)))),
inference(ems,[status(thm)],[1283,1052]),
[iquote('0:EmS:1283.0,1052.0')] ).
cnf(1397,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(v,v))) ),
inference(res,[status(thm),theory(equality)],[1305,1]),
[iquote('0:Res:1305.0,1.1')] ).
cnf(1399,plain,
is_a_theorem(implies__dfg(u,implies__dfg(u,u))),
inference(ems,[status(thm)],[1397,1052]),
[iquote('0:EmS:1397.0,1052.0')] ).
cnf(1593,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)],[1249,1]),
[iquote('0:Res:1249.0,1.1')] ).
cnf(1717,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(x,x))))),
inference(sor,[status(thm)],[1593,1179]),
[iquote('0:SoR:1593.0,1179.0')] ).
cnf(1811,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,implies__dfg(x,x)))) ),
inference(res,[status(thm),theory(equality)],[1717,1]),
[iquote('0:Res:1717.0,1.1')] ).
cnf(1813,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w)))),
inference(ems,[status(thm)],[1811,1399]),
[iquote('0:EmS:1811.0,1399.0')] ).
cnf(1866,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,v))),
inference(mrr,[status(thm)],[1264,1813]),
[iquote('0:MRR:1264.0,1813.0')] ).
cnf(1888,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,v)) ),
inference(res,[status(thm),theory(equality)],[1866,1]),
[iquote('0:Res:1866.0,1.1')] ).
cnf(1890,plain,
is_a_theorem(implies__dfg(u,u)),
inference(ems,[status(thm)],[1888,1866]),
[iquote('0:EmS:1888.0,1866.0')] ).
cnf(1968,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,v)))),
inference(sor,[status(thm)],[550,1890]),
[iquote('0:SoR:550.0,1890.0')] ).
cnf(2003,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(x,implies__dfg(v,w)))),
inference(sor,[status(thm)],[7,1968]),
[iquote('0:SoR:7.0,1968.0')] ).
cnf(2021,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[1968,1]),
[iquote('0:Res:1968.0,1.1')] ).
cnf(2034,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,u))),
inference(ems,[status(thm)],[2021,1890]),
[iquote('0:EmS:2021.0,1890.0')] ).
cnf(2086,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,implies__dfg(x,u)))),
inference(sor,[status(thm)],[7,2034]),
[iquote('0:SoR:7.0,2034.0')] ).
cnf(2206,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)],[7,2003]),
[iquote('0:SoR:7.0,2003.0')] ).
cnf(2282,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)],[2086,1]),
[iquote('0:Res:2086.0,1.1')] ).
cnf(2845,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)],[2206,1]),
[iquote('0:Res:2206.0,1.1')] ).
cnf(4431,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)],[2282,156]),
[iquote('0:SoR:2282.0,156.0')] ).
cnf(4465,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)],[4431,1]),
[iquote('0:Res:4431.0,1.1')] ).
cnf(4499,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(v,implies__dfg(x,w))))),
inference(ems,[status(thm)],[4465,1890]),
[iquote('0:EmS:4465.0,1890.0')] ).
cnf(4581,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)],[7,4499]),
[iquote('0:SoR:7.0,4499.0')] ).
cnf(5875,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,implies__dfg(implies__dfg(w,x),x))))),
inference(sor,[status(thm)],[2282,4581]),
[iquote('0:SoR:2282.0,4581.0')] ).
cnf(5915,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)],[5875,1]),
[iquote('0:Res:5875.0,1.1')] ).
cnf(5916,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(v,w),w)))),
inference(ems,[status(thm)],[5915,1890]),
[iquote('0:EmS:5915.0,1890.0')] ).
cnf(6050,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(v,w),w))) ),
inference(res,[status(thm),theory(equality)],[5916,1]),
[iquote('0:Res:5916.0,1.1')] ).
cnf(6085,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,v),v))),
inference(ems,[status(thm)],[6050,1890]),
[iquote('0:EmS:6050.0,1890.0')] ).
cnf(6196,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,w),x),x)))),
inference(sor,[status(thm)],[1593,6085]),
[iquote('0:SoR:1593.0,6085.0')] ).
cnf(6214,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(w,x),w),w)))),
inference(sor,[status(thm)],[2845,6085]),
[iquote('0:SoR:2845.0,6085.0')] ).
cnf(6215,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(u,v),v)) ),
inference(res,[status(thm),theory(equality)],[6085,1]),
[iquote('0:Res:6085.0,1.1')] ).
cnf(6254,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
inference(res,[status(thm),theory(equality)],[6215,1]),
[iquote('0:Res:6215.1,1.1')] ).
cnf(6770,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)],[6254,6196]),
[iquote('0:SoR:6254.1,6196.0')] ).
cnf(7183,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,v),w),w))),
inference(ems,[status(thm)],[6770,1890]),
[iquote('0:EmS:6770.0,1890.0')] ).
cnf(7319,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,v),w),w)) ),
inference(sor,[status(thm)],[6254,7183]),
[iquote('0:SoR:6254.1,7183.0')] ).
cnf(7338,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),v)),
inference(ems,[status(thm)],[7319,1890]),
[iquote('0:EmS:7319.0,1890.0')] ).
cnf(7515,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(v) ),
inference(sor,[status(thm)],[6254,7338]),
[iquote('0:SoR:6254.1,7338.0')] ).
cnf(7541,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),v))),
inference(sor,[status(thm)],[7515,6214]),
[iquote('0:SoR:7515.0,6214.0')] ).
cnf(7855,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),u)),
inference(sor,[status(thm)],[7515,7541]),
[iquote('0:SoR:7515.0,7541.0')] ).
cnf(7885,plain,
$false,
inference(unc,[status(thm)],[7855,3]),
[iquote('0:UnC:7855.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 Jul 3 01:09:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.89
% 1.67/1.89 SPASS V 3.9
% 1.67/1.89 SPASS beiseite: Proof found.
% 1.67/1.89 % SZS status Theorem
% 1.67/1.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.89 SPASS derived 7780 clauses, backtracked 0 clauses, performed 0 splits and kept 1075 clauses.
% 1.67/1.89 SPASS allocated 84774 KBytes.
% 1.67/1.89 SPASS spent 0:00:01.55 on the problem.
% 1.67/1.89 0:00:00.03 for the input.
% 1.67/1.89 0:00:00.00 for the FLOTTER CNF translation.
% 1.67/1.89 0:00:00.17 for inferences.
% 1.67/1.89 0:00:00.00 for the backtracking.
% 1.67/1.89 0:00:01.32 for the reduction.
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Here is a proof with depth 42, length 85 :
% 1.67/1.89 % SZS output start Refutation
% See solution above
% 1.76/1.95 Formulae used in the proof : condensed_detachment ic_JLukasiewicz_5 prove_ic_3
% 1.76/1.95
%------------------------------------------------------------------------------