TSTP Solution File: LCL094-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL094-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 14:34:33 EDT 2022
% Result : Unsatisfiable 11.35s 11.57s
% Output : Refutation 11.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of clauses : 87 ( 45 unt; 0 nHn; 87 RR)
% Number of literals : 140 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 10 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('LCL094-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)),implies__dfg(y,implies__dfg(implies__dfg(x,u),implies__dfg(w,u))))),
file('LCL094-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(implies__dfg(a,implies__dfg(implies__dfg(a,b),b))),
file('LCL094-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,x)))
| is_a_theorem(implies__dfg(y,implies__dfg(implies__dfg(x,u),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(u,implies__dfg(implies__dfg(implies__dfg(implies__dfg(v,w),implies__dfg(x,w)),implies__dfg(w,y)),implies__dfg(z,implies__dfg(w,y))))),
inference(sor,[status(thm)],[7,2]),
[iquote('0:SoR:7.0,2.0')] ).
cnf(9,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,implies__dfg(w,x)),y),implies__dfg(implies__dfg(implies__dfg(implies__dfg(z,w),implies__dfg(x1,w)),implies__dfg(w,x)),y)))),
inference(sor,[status(thm)],[7,8]),
[iquote('0:SoR:7.0,8.0')] ).
cnf(10,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(v,w),implies__dfg(x,w)),implies__dfg(w,y)),implies__dfg(z,implies__dfg(w,y)))) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.1')] ).
cnf(11,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(v,x)),implies__dfg(y,implies__dfg(v,x)))),
inference(ems,[status(thm)],[10,2]),
[iquote('0:EmS:10.0,2.0')] ).
cnf(14,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(v,x)))
| is_a_theorem(implies__dfg(y,implies__dfg(v,x))) ),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.1')] ).
cnf(15,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(v,w))))),
inference(sor,[status(thm)],[14,11]),
[iquote('0:SoR:14.0,11.0')] ).
cnf(16,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(v,w),implies__dfg(x,w))))),
inference(sor,[status(thm)],[14,2]),
[iquote('0:SoR:14.0,2.0')] ).
cnf(20,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(w,implies__dfg(v,w)))) ),
inference(res,[status(thm),theory(equality)],[15,1]),
[iquote('0:Res:15.0,1.1')] ).
cnf(21,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(v,w),implies__dfg(x,w)),implies__dfg(w,y)),z),x1),implies__dfg(implies__dfg(implies__dfg(x2,implies__dfg(w,y)),z),x1)))),
inference(sor,[status(thm)],[7,9]),
[iquote('0:SoR:7.0,9.0')] ).
cnf(26,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(v,w),implies__dfg(x,w)))) ),
inference(res,[status(thm),theory(equality)],[16,1]),
[iquote('0:Res:16.0,1.1')] ).
cnf(27,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(v,implies__dfg(u,v)))),
inference(ems,[status(thm)],[20,16]),
[iquote('0:EmS:20.0,16.0')] ).
cnf(33,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(w,v)))),
inference(sor,[status(thm)],[7,27]),
[iquote('0:SoR:7.0,27.0')] ).
cnf(52,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[33,1]),
[iquote('0:Res:33.0,1.1')] ).
cnf(53,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,v),implies__dfg(w,v)))),
inference(ems,[status(thm)],[26,27]),
[iquote('0:EmS:26.0,27.0')] ).
cnf(63,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[53,1]),
[iquote('0:Res:53.0,1.1')] ).
cnf(67,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(implies__dfg(w,v)) ),
inference(res,[status(thm),theory(equality)],[63,1]),
[iquote('0:Res:63.1,1.1')] ).
cnf(71,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(v,w),implies__dfg(x,w)),implies__dfg(w,y)),z),x1),implies__dfg(implies__dfg(implies__dfg(x2,implies__dfg(w,y)),z),x1))) ),
inference(res,[status(thm),theory(equality)],[21,1]),
[iquote('0:Res:21.0,1.1')] ).
cnf(83,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(v,u))),
inference(ems,[status(thm)],[52,27]),
[iquote('0:EmS:52.0,27.0')] ).
cnf(95,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,v)))),
inference(sor,[status(thm)],[14,83]),
[iquote('0:SoR:14.0,83.0')] ).
cnf(99,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),x),implies__dfg(w,x)))),
inference(sor,[status(thm)],[7,95]),
[iquote('0:SoR:7.0,95.0')] ).
cnf(103,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[95,1]),
[iquote('0:Res:95.0,1.1')] ).
cnf(107,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,u))),
inference(ems,[status(thm)],[103,83]),
[iquote('0:EmS:103.0,83.0')] ).
cnf(118,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,v)))),
inference(sor,[status(thm)],[7,107]),
[iquote('0:SoR:7.0,107.0')] ).
cnf(157,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),x),implies__dfg(w,x))) ),
inference(res,[status(thm),theory(equality)],[99,1]),
[iquote('0:Res:99.0,1.1')] ).
cnf(173,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(v,x)),y),z),implies__dfg(implies__dfg(implies__dfg(x1,implies__dfg(v,x)),y),z))),
inference(ems,[status(thm)],[71,8]),
[iquote('0:EmS:71.0,8.0')] ).
cnf(178,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,w),v),implies__dfg(x,v))) ),
inference(res,[status(thm),theory(equality)],[118,1]),
[iquote('0:Res:118.0,1.1')] ).
cnf(268,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(v,w))),
inference(ems,[status(thm)],[157,107]),
[iquote('0:EmS:157.0,107.0')] ).
cnf(290,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),w))
| is_a_theorem(implies__dfg(x,implies__dfg(v,w))) ),
inference(sor,[status(thm)],[67,268]),
[iquote('0:SoR:67.1,268.0')] ).
cnf(294,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),w))
| is_a_theorem(implies__dfg(v,w)) ),
inference(res,[status(thm),theory(equality)],[268,1]),
[iquote('0:Res:268.0,1.1')] ).
cnf(299,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,u)))),
inference(sor,[status(thm)],[294,107]),
[iquote('0:SoR:294.0,107.0')] ).
cnf(308,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,implies__dfg(implies__dfg(v,x),implies__dfg(u,x))))),
inference(sor,[status(thm)],[294,2]),
[iquote('0:SoR:294.0,2.0')] ).
cnf(318,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,implies__dfg(w,x)),w),implies__dfg(y,w)))),
inference(sor,[status(thm)],[7,299]),
[iquote('0:SoR:7.0,299.0')] ).
cnf(365,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,u))),
inference(ems,[status(thm)],[178,268]),
[iquote('0:EmS:178.0,268.0')] ).
cnf(397,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,implies__dfg(v,w)),implies__dfg(x,implies__dfg(v,w))))),
inference(sor,[status(thm)],[7,365]),
[iquote('0:SoR:7.0,365.0')] ).
cnf(402,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(implies__dfg(w,u)) ),
inference(res,[status(thm),theory(equality)],[365,1]),
[iquote('0:Res:365.0,1.1')] ).
cnf(404,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,v))),
inference(sor,[status(thm)],[402,365]),
[iquote('0:SoR:402.0,365.0')] ).
cnf(432,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,v)) ),
inference(res,[status(thm),theory(equality)],[404,1]),
[iquote('0:Res:404.0,1.1')] ).
cnf(433,plain,
is_a_theorem(implies__dfg(u,u)),
inference(ems,[status(thm)],[432,173]),
[iquote('0:EmS:432.0,173.0')] ).
cnf(499,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,w)))),
inference(sor,[status(thm)],[290,404]),
[iquote('0:SoR:290.0,404.0')] ).
cnf(557,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,v),w),implies__dfg(x,w)))),
inference(sor,[status(thm)],[7,499]),
[iquote('0:SoR:7.0,499.0')] ).
cnf(604,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,v),w),implies__dfg(x,w))) ),
inference(res,[status(thm),theory(equality)],[557,1]),
[iquote('0:Res:557.0,1.1')] ).
cnf(672,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),implies__dfg(w,v))),
inference(ems,[status(thm)],[604,433]),
[iquote('0:EmS:604.0,433.0')] ).
cnf(1074,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,implies__dfg(w,x)),w),implies__dfg(y,w))) ),
inference(res,[status(thm),theory(equality)],[318,1]),
[iquote('0:Res:318.0,1.1')] ).
cnf(1165,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(v,implies__dfg(v,w)),implies__dfg(x,implies__dfg(v,w)))) ),
inference(res,[status(thm),theory(equality)],[397,1]),
[iquote('0:Res:397.0,1.1')] ).
cnf(1988,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),v),implies__dfg(x,v))),
inference(ems,[status(thm)],[1074,433]),
[iquote('0:EmS:1074.0,433.0')] ).
cnf(2161,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(w,implies__dfg(u,v)))),
inference(ems,[status(thm)],[1165,433]),
[iquote('0:EmS:1165.0,433.0')] ).
cnf(2266,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(u,v)))
| is_a_theorem(implies__dfg(w,implies__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[2161,1]),
[iquote('0:Res:2161.0,1.1')] ).
cnf(2268,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,v),w),w))),
inference(sor,[status(thm)],[2266,672]),
[iquote('0:SoR:2266.0,672.0')] ).
cnf(2274,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,implies__dfg(w,x)),w),w))),
inference(sor,[status(thm)],[2266,1988]),
[iquote('0:SoR:2266.0,1988.0')] ).
cnf(2277,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),v))),
inference(sor,[status(thm)],[2266,365]),
[iquote('0:SoR:2266.0,365.0')] ).
cnf(2279,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,implies__dfg(v,w)),implies__dfg(v,w)))),
inference(sor,[status(thm)],[2266,2161]),
[iquote('0:SoR:2266.0,2161.0')] ).
cnf(2316,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(u,w),w))) ),
inference(sor,[status(thm)],[2266,63]),
[iquote('0:SoR:2266.0,63.1')] ).
cnf(2360,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,v),w),w)) ),
inference(res,[status(thm),theory(equality)],[2268,1]),
[iquote('0:Res:2268.0,1.1')] ).
cnf(2477,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(implies__dfg(u,w),w)) ),
inference(res,[status(thm),theory(equality)],[2316,1]),
[iquote('0:Res:2316.1,1.1')] ).
cnf(2478,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(u,v),v)) ),
inference(con,[status(thm)],[2477]),
[iquote('0:Con:2477.1')] ).
cnf(2502,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
inference(res,[status(thm),theory(equality)],[2478,1]),
[iquote('0:Res:2478.1,1.1')] ).
cnf(2656,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),v)),
inference(ems,[status(thm)],[2360,433]),
[iquote('0:EmS:2360.0,433.0')] ).
cnf(2742,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(v) ),
inference(sor,[status(thm)],[2502,2656]),
[iquote('0:SoR:2502.1,2656.0')] ).
cnf(2813,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),u)),
inference(sor,[status(thm)],[2742,2277]),
[iquote('0:SoR:2742.0,2277.0')] ).
cnf(2841,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(u) ),
inference(sor,[status(thm)],[2502,2813]),
[iquote('0:SoR:2502.1,2813.0')] ).
cnf(2954,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),v),v)),
inference(sor,[status(thm)],[2841,2274]),
[iquote('0:SoR:2841.0,2274.0')] ).
cnf(2966,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),v))
| is_a_theorem(v) ),
inference(sor,[status(thm)],[2502,2954]),
[iquote('0:SoR:2502.1,2954.0')] ).
cnf(3197,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(u,v))),
inference(sor,[status(thm)],[2966,2279]),
[iquote('0:SoR:2966.0,2279.0')] ).
cnf(3239,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(u,v)))
| is_a_theorem(implies__dfg(u,v)) ),
inference(sor,[status(thm)],[2502,3197]),
[iquote('0:SoR:2502.1,3197.0')] ).
cnf(3264,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(v,w),implies__dfg(u,w)))),
inference(sor,[status(thm)],[3239,308]),
[iquote('0:SoR:3239.0,308.0')] ).
cnf(3833,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(implies__dfg(implies__dfg(v,w),implies__dfg(u,w))) ),
inference(sor,[status(thm)],[2502,3264]),
[iquote('0:SoR:2502.1,3264.0')] ).
cnf(4275,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(implies__dfg(implies__dfg(x,u),v),w))),
inference(sor,[status(thm)],[3833,268]),
[iquote('0:SoR:3833.0,268.0')] ).
cnf(4280,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)],[3833,2478]),
[iquote('0:SoR:3833.0,2478.1')] ).
cnf(4450,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| ~ is_a_theorem(w)
| is_a_theorem(implies__dfg(implies__dfg(w,u),v)) ),
inference(sor,[status(thm)],[2502,4280]),
[iquote('0:SoR:2502.1,4280.1')] ).
cnf(5217,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(v,w),v)),v)) ),
inference(sor,[status(thm)],[4450,2813]),
[iquote('0:SoR:4450.0,2813.0')] ).
cnf(5251,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(v,w)),w)) ),
inference(sor,[status(thm)],[4450,2478]),
[iquote('0:SoR:4450.0,2478.1')] ).
cnf(5438,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(v,w),v)))
| ~ is_a_theorem(u)
| is_a_theorem(v) ),
inference(sor,[status(thm)],[2502,5217]),
[iquote('0:SoR:2502.1,5217.1')] ).
cnf(5715,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(v,w)))
| ~ is_a_theorem(v)
| ~ is_a_theorem(u)
| is_a_theorem(w) ),
inference(sor,[status(thm)],[2502,5251]),
[iquote('0:SoR:2502.1,5251.2')] ).
cnf(7743,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,u)))
| is_a_theorem(implies__dfg(w,u)) ),
inference(sor,[status(thm)],[5438,4275]),
[iquote('0:SoR:5438.0,4275.0')] ).
cnf(8065,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),w),v),implies__dfg(u,v))),
inference(sor,[status(thm)],[7743,53]),
[iquote('0:SoR:7743.0,53.0')] ).
cnf(8101,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),v))
| is_a_theorem(implies__dfg(u,v)) ),
inference(sor,[status(thm)],[2502,8065]),
[iquote('0:SoR:2502.1,8065.0')] ).
cnf(11955,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| ~ is_a_theorem(implies__dfg(w,u))
| is_a_theorem(implies__dfg(w,v)) ),
inference(sor,[status(thm)],[5715,3264]),
[iquote('0:SoR:5715.0,3264.0')] ).
cnf(13052,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)],[11955,2478]),
[iquote('0:SoR:11955.0,2478.1')] ).
cnf(15444,plain,
( ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(implies__dfg(implies__dfg(w,u),implies__dfg(w,v))) ),
inference(sor,[status(thm)],[13052,3264]),
[iquote('0:SoR:13052.0,3264.0')] ).
cnf(16403,plain,
is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(u,implies__dfg(w,v)))),
inference(sor,[status(thm)],[15444,107]),
[iquote('0:SoR:15444.0,107.0')] ).
cnf(16481,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),x),implies__dfg(implies__dfg(u,w),x))),
inference(sor,[status(thm)],[3833,16403]),
[iquote('0:SoR:3833.0,16403.0')] ).
cnf(22825,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,v),v))),
inference(sor,[status(thm)],[8101,16481]),
[iquote('0:SoR:8101.0,16481.0')] ).
cnf(22833,plain,
$false,
inference(unc,[status(thm)],[22825,3]),
[iquote('0:UnC:22825.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL094-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 14:56:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.35/11.57
% 11.35/11.57 SPASS V 3.9
% 11.35/11.57 SPASS beiseite: Proof found.
% 11.35/11.57 % SZS status Theorem
% 11.35/11.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.35/11.57 SPASS derived 22416 clauses, backtracked 0 clauses, performed 0 splits and kept 4390 clauses.
% 11.35/11.57 SPASS allocated 103349 KBytes.
% 11.35/11.57 SPASS spent 0:0:11.21 on the problem.
% 11.35/11.57 0:00:00.04 for the input.
% 11.35/11.57 0:00:00.00 for the FLOTTER CNF translation.
% 11.35/11.57 0:00:00.46 for inferences.
% 11.35/11.57 0:00:00.00 for the backtracking.
% 11.35/11.57 0:0:10.65 for the reduction.
% 11.35/11.57
% 11.35/11.57
% 11.35/11.57 Here is a proof with depth 45, length 87 :
% 11.35/11.57 % SZS output start Refutation
% See solution above
% 11.71/11.92 Formulae used in the proof : condensed_detachment ic_JLukasiewicz_4 prove_ic_5
% 11.71/11.92
%------------------------------------------------------------------------------