TSTP Solution File: LCL211-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL211-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 14:35:29 EDT 2022
% Result : Unsatisfiable 271.14s 271.38s
% Output : Refutation 299.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of clauses : 77 ( 77 unt; 0 nHn; 77 RR)
% Number of literals : 77 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('LCL211-10.p',unknown),
[] ).
cnf(2,axiom,
equal(axiom(implies__dfg(or__dfg(u,u),u)),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(3,axiom,
equal(axiom(implies__dfg(u,or__dfg(v,u))),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(4,axiom,
equal(axiom(implies__dfg(or__dfg(u,v),or__dfg(v,u))),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(5,axiom,
equal(axiom(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(6,axiom,
equal(axiom(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(w,u),or__dfg(w,v)))),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(7,axiom,
equal(or__dfg(not__dfg(u),v),implies__dfg(u,v)),
file('LCL211-10.p',unknown),
[] ).
cnf(8,axiom,
equal(ifeq(axiom(u),true__dfg,theorem(u),true__dfg),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(9,axiom,
equal(ifeq(theorem(implies__dfg(u,v)),true__dfg,ifeq(theorem(u),true__dfg,theorem(v),true__dfg),true__dfg),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(10,axiom,
~ equal(theorem(implies__dfg(not__dfg(q),implies__dfg(or__dfg(p,q),p))),true__dfg),
file('LCL211-10.p',unknown),
[] ).
cnf(18,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(or__dfg(u,u),u)),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2,8]),
[iquote('0:SpR:2.0,8.0')] ).
cnf(19,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(u,or__dfg(v,u))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3,8]),
[iquote('0:SpR:3.0,8.0')] ).
cnf(20,plain,
equal(theorem(implies__dfg(or__dfg(u,u),u)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(21,plain,
equal(theorem(implies__dfg(u,or__dfg(v,u))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(37,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(or__dfg(u,v),or__dfg(v,u))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,8]),
[iquote('0:SpR:4.0,8.0')] ).
cnf(40,plain,
equal(theorem(implies__dfg(or__dfg(u,v),or__dfg(v,u))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,37]),
[iquote('0:Rew:1.0,37.0')] ).
cnf(50,plain,
equal(theorem(implies__dfg(implies__dfg(u,v),or__dfg(v,not__dfg(u)))),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,40]),
[iquote('0:SpR:7.0,40.0')] ).
cnf(72,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[5,8]),
[iquote('0:SpR:5.0,8.0')] ).
cnf(73,plain,
equal(axiom(implies__dfg(or__dfg(not__dfg(u),or__dfg(v,w)),or__dfg(v,implies__dfg(u,w)))),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,5]),
[iquote('0:SpR:7.0,5.0')] ).
cnf(77,plain,
equal(axiom(implies__dfg(implies__dfg(u,or__dfg(v,w)),or__dfg(v,implies__dfg(u,w)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[7,73]),
[iquote('0:Rew:7.0,73.0')] ).
cnf(81,plain,
equal(theorem(implies__dfg(or__dfg(u,or__dfg(v,w)),or__dfg(v,or__dfg(u,w)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,72]),
[iquote('0:Rew:1.0,72.0')] ).
cnf(86,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(w,u),or__dfg(w,v)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[6,8]),
[iquote('0:SpR:6.0,8.0')] ).
cnf(87,plain,
equal(axiom(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(not__dfg(w),u),implies__dfg(w,v)))),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,6]),
[iquote('0:SpR:7.0,6.0')] ).
cnf(89,plain,
equal(axiom(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(w,u),implies__dfg(w,v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[7,87]),
[iquote('0:Rew:7.0,87.0')] ).
cnf(91,plain,
equal(theorem(implies__dfg(implies__dfg(u,v),implies__dfg(or__dfg(w,u),or__dfg(w,v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,86]),
[iquote('0:Rew:1.0,86.0')] ).
cnf(94,plain,
equal(axiom(implies__dfg(implies__dfg(u,or__dfg(not__dfg(v),w)),implies__dfg(v,implies__dfg(u,w)))),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,77]),
[iquote('0:SpR:7.0,77.0')] ).
cnf(96,plain,
equal(axiom(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(v,implies__dfg(u,w)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[7,94]),
[iquote('0:Rew:7.0,94.0')] ).
cnf(116,plain,
equal(ifeq(theorem(implies__dfg(implies__dfg(or__dfg(u,v),or__dfg(v,u)),w)),true__dfg,ifeq(true__dfg,true__dfg,theorem(w),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[40,9]),
[iquote('0:SpR:40.0,9.0')] ).
cnf(118,plain,
equal(ifeq(theorem(implies__dfg(implies__dfg(u,or__dfg(v,u)),w)),true__dfg,ifeq(true__dfg,true__dfg,theorem(w),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[21,9]),
[iquote('0:SpR:21.0,9.0')] ).
cnf(123,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(or__dfg(u,u)),true__dfg,theorem(u),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[20,9]),
[iquote('0:SpR:20.0,9.0')] ).
cnf(124,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(or__dfg(u,v)),true__dfg,theorem(or__dfg(v,u)),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[40,9]),
[iquote('0:SpR:40.0,9.0')] ).
cnf(126,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(u),true__dfg,theorem(or__dfg(v,u)),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[21,9]),
[iquote('0:SpR:21.0,9.0')] ).
cnf(131,plain,
equal(ifeq(theorem(or__dfg(u,u)),true__dfg,theorem(u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,123]),
[iquote('0:Rew:1.0,123.0')] ).
cnf(132,plain,
equal(ifeq(theorem(u),true__dfg,theorem(or__dfg(v,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,126]),
[iquote('0:Rew:1.0,126.0')] ).
cnf(134,plain,
equal(ifeq(theorem(or__dfg(u,v)),true__dfg,theorem(or__dfg(v,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,124]),
[iquote('0:Rew:1.0,124.0')] ).
cnf(139,plain,
equal(ifeq(theorem(implies__dfg(implies__dfg(u,or__dfg(v,u)),w)),true__dfg,theorem(w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,118]),
[iquote('0:Rew:1.0,118.0')] ).
cnf(143,plain,
equal(ifeq(theorem(implies__dfg(implies__dfg(or__dfg(u,v),or__dfg(v,u)),w)),true__dfg,theorem(w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,116]),
[iquote('0:Rew:1.0,116.0')] ).
cnf(227,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(or__dfg(u,or__dfg(v,w))),true__dfg,theorem(or__dfg(v,or__dfg(u,w))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[81,9]),
[iquote('0:SpR:81.0,9.0')] ).
cnf(239,plain,
equal(ifeq(theorem(or__dfg(u,or__dfg(v,w))),true__dfg,theorem(or__dfg(v,or__dfg(u,w))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,227]),
[iquote('0:Rew:1.0,227.0')] ).
cnf(306,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(w,u),implies__dfg(w,v)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[89,8]),
[iquote('0:SpR:89.0,8.0')] ).
cnf(307,plain,
equal(theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(w,u),implies__dfg(w,v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,306]),
[iquote('0:Rew:1.0,306.0')] ).
cnf(409,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(implies__dfg(u,v)),true__dfg,theorem(implies__dfg(or__dfg(w,u),or__dfg(w,v))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[91,9]),
[iquote('0:SpR:91.0,9.0')] ).
cnf(420,plain,
equal(ifeq(theorem(implies__dfg(u,v)),true__dfg,theorem(implies__dfg(or__dfg(w,u),or__dfg(w,v))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,409]),
[iquote('0:Rew:1.0,409.0')] ).
cnf(629,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(v,implies__dfg(u,w)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[96,8]),
[iquote('0:SpR:96.0,8.0')] ).
cnf(630,plain,
equal(theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),implies__dfg(v,implies__dfg(u,w)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,629]),
[iquote('0:Rew:1.0,629.0')] ).
cnf(1357,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(or__dfg(u,v),not__dfg(v))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[50,139]),
[iquote('0:SpR:50.0,139.0')] ).
cnf(1366,plain,
equal(theorem(or__dfg(or__dfg(u,v),not__dfg(v))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1357]),
[iquote('0:Rew:1.0,1357.0')] ).
cnf(1597,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(implies__dfg(u,or__dfg(v,w)),implies__dfg(u,or__dfg(w,v)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[307,143]),
[iquote('0:SpR:307.0,143.0')] ).
cnf(1619,plain,
equal(theorem(implies__dfg(implies__dfg(u,or__dfg(v,w)),implies__dfg(u,or__dfg(w,v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1597]),
[iquote('0:Rew:1.0,1597.0')] ).
cnf(1733,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(w)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1366,132]),
[iquote('0:SpR:1366.0,132.0')] ).
cnf(1750,plain,
equal(theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(w)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1733]),
[iquote('0:Rew:1.0,1733.0')] ).
cnf(2696,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(or__dfg(u,v),or__dfg(w,not__dfg(v)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1750,239]),
[iquote('0:SpR:1750.0,239.0')] ).
cnf(2721,plain,
equal(theorem(or__dfg(or__dfg(u,v),or__dfg(w,not__dfg(v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2696]),
[iquote('0:Rew:1.0,2696.0')] ).
cnf(3120,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(or__dfg(u,not__dfg(v)),or__dfg(w,v))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2721,134]),
[iquote('0:SpR:2721.0,134.0')] ).
cnf(3136,plain,
equal(theorem(or__dfg(or__dfg(u,not__dfg(v)),or__dfg(w,v))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3120]),
[iquote('0:Rew:1.0,3120.0')] ).
cnf(3773,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(u,or__dfg(or__dfg(v,not__dfg(w)),w))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3136,239]),
[iquote('0:SpR:3136.0,239.0')] ).
cnf(3791,plain,
equal(theorem(or__dfg(u,or__dfg(or__dfg(v,not__dfg(w)),w))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3773]),
[iquote('0:Rew:1.0,3773.0')] ).
cnf(3978,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(or__dfg(u,not__dfg(v)),v)),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3791,131]),
[iquote('0:SpR:3791.0,131.0')] ).
cnf(4019,plain,
equal(theorem(or__dfg(or__dfg(u,not__dfg(v)),v)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3978]),
[iquote('0:Rew:1.0,3978.0')] ).
cnf(4109,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(u,or__dfg(v,not__dfg(u)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4019,134]),
[iquote('0:SpR:4019.0,134.0')] ).
cnf(4121,plain,
equal(theorem(or__dfg(u,or__dfg(v,not__dfg(u)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4109]),
[iquote('0:Rew:1.0,4109.0')] ).
cnf(4191,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(u,or__dfg(v,not__dfg(v)))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4121,239]),
[iquote('0:SpR:4121.0,239.0')] ).
cnf(4220,plain,
equal(theorem(or__dfg(u,or__dfg(v,not__dfg(v)))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4191]),
[iquote('0:Rew:1.0,4191.0')] ).
cnf(4326,plain,
equal(ifeq(true__dfg,true__dfg,theorem(or__dfg(u,not__dfg(u))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4220,131]),
[iquote('0:SpR:4220.0,131.0')] ).
cnf(4368,plain,
equal(theorem(or__dfg(u,not__dfg(u))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4326]),
[iquote('0:Rew:1.0,4326.0')] ).
cnf(4408,plain,
equal(theorem(implies__dfg(u,not__dfg(not__dfg(u)))),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,4368]),
[iquote('0:SpR:7.0,4368.0')] ).
cnf(4422,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(or__dfg(u,v),or__dfg(u,not__dfg(not__dfg(v))))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4408,420]),
[iquote('0:SpR:4408.0,420.0')] ).
cnf(4441,plain,
equal(theorem(implies__dfg(or__dfg(u,v),or__dfg(u,not__dfg(not__dfg(v))))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4422]),
[iquote('0:Rew:1.0,4422.0')] ).
cnf(5415,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(implies__dfg(u,implies__dfg(v,w))),true__dfg,theorem(implies__dfg(v,implies__dfg(u,w))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[630,9]),
[iquote('0:SpR:630.0,9.0')] ).
cnf(5437,plain,
equal(ifeq(theorem(implies__dfg(u,implies__dfg(v,w))),true__dfg,theorem(implies__dfg(v,implies__dfg(u,w))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,5415]),
[iquote('0:Rew:1.0,5415.0')] ).
cnf(5927,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(theorem(implies__dfg(u,or__dfg(v,w))),true__dfg,theorem(implies__dfg(u,or__dfg(w,v))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1619,9]),
[iquote('0:SpR:1619.0,9.0')] ).
cnf(5954,plain,
equal(ifeq(theorem(implies__dfg(u,or__dfg(v,w))),true__dfg,theorem(implies__dfg(u,or__dfg(w,v))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,5927]),
[iquote('0:Rew:1.0,5927.0')] ).
cnf(119771,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(or__dfg(u,v),or__dfg(not__dfg(not__dfg(v)),u))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4441,5954]),
[iquote('0:SpR:4441.0,5954.0')] ).
cnf(119987,plain,
equal(theorem(implies__dfg(or__dfg(u,v),implies__dfg(not__dfg(v),u))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,119771,7]),
[iquote('0:Rew:1.0,119771.0,7.0,119771.0')] ).
cnf(123100,plain,
equal(ifeq(true__dfg,true__dfg,theorem(implies__dfg(not__dfg(u),implies__dfg(or__dfg(v,u),v))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[119987,5437]),
[iquote('0:SpR:119987.0,5437.0')] ).
cnf(123150,plain,
equal(theorem(implies__dfg(not__dfg(u),implies__dfg(or__dfg(v,u),v))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,123100]),
[iquote('0:Rew:1.0,123100.0')] ).
cnf(123151,plain,
$false,
inference(unc,[status(thm)],[123150,10]),
[iquote('0:UnC:123150.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL211-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 21:21:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 271.14/271.38
% 271.14/271.38 SPASS V 3.9
% 271.14/271.38 SPASS beiseite: Proof found.
% 271.14/271.38 % SZS status Theorem
% 271.14/271.38 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.14/271.38 SPASS derived 105815 clauses, backtracked 0 clauses, performed 0 splits and kept 9288 clauses.
% 271.14/271.38 SPASS allocated 173413 KBytes.
% 271.14/271.38 SPASS spent 0:4:30.92 on the problem.
% 271.14/271.38 0:00:00.04 for the input.
% 271.14/271.38 0:00:00.00 for the FLOTTER CNF translation.
% 271.14/271.38 0:00:01.20 for inferences.
% 271.14/271.38 0:00:00.00 for the backtracking.
% 271.14/271.38 0:4:29.14 for the reduction.
% 271.14/271.38
% 271.14/271.38
% 271.14/271.38 Here is a proof with depth 15, length 77 :
% 271.14/271.38 % SZS output start Refutation
% See solution above
% 299.33/299.60 Formulae used in the proof : ifeq_axiom axiom_1_2 axiom_1_3 axiom_1_4 axiom_1_5 axiom_1_6 implies_definition rule_1 rule_2 prove_this
% 299.33/299.60
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