TSTP Solution File: LCL021-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %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 : 300s
% DateTime : Wed Jul 27 13:03:19 EDT 2022
% Result : Unsatisfiable 7.61s 7.76s
% Output : Refutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of clauses : 92 ( 91 unt; 0 nHn; 3 RR)
% Number of literals : 94 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 401 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(e_quivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL021-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(a,c),b)))),
file('LCL021-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B)))),
file('LCL021-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,C),D)))),A))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(5,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,B),C)))),E),e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G)))),e_quivalent(E,A))),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(6,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,e_quivalent(E,e_quivalent(e_quivalent(F,G),e_quivalent(e_quivalent(G,E),F)))),C))),A))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(7,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E)))),C)),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(8,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,B),C)))),e_quivalent(e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,A),E)),e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H)))))),
inference(hyper,[status(thm)],[7,1,4]),
[iquote('hyper,7,1,4')] ).
cnf(9,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,E),C)),e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G)))),E)),A))),
inference(hyper,[status(thm)],[7,1,3]),
[iquote('hyper,7,1,3')] ).
cnf(10,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E)))),B))),G),e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,e_quivalent(J,e_quivalent(e_quivalent(K,L),e_quivalent(e_quivalent(L,J),K)))),H))),e_quivalent(G,A))),
inference(hyper,[status(thm)],[6,1,6]),
[iquote('hyper,6,1,6')] ).
cnf(20,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B))),e_quivalent(e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,e_quivalent(F,e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),D)),F))),
inference(hyper,[status(thm)],[5,1,7]),
[iquote('hyper,5,1,7')] ).
cnf(45,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,D),B)),e_quivalent(E,e_quivalent(e_quivalent(F,G),e_quivalent(e_quivalent(G,E),F)))),D)),H),e_quivalent(I,e_quivalent(e_quivalent(J,K),e_quivalent(e_quivalent(K,I),J)))),e_quivalent(H,A))),
inference(hyper,[status(thm)],[9,1,4]),
[iquote('hyper,9,1,4')] ).
cnf(84,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G)))),D)))),A)),C)),
inference(hyper,[status(thm)],[10,1,7]),
[iquote('hyper,10,1,7')] ).
cnf(110,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B))),e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E)))),G),G)),
inference(hyper,[status(thm)],[84,1,6]),
[iquote('hyper,84,1,6')] ).
cnf(124,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E))))),A)),C)),
inference(hyper,[status(thm)],[110,1,5]),
[iquote('hyper,110,1,5')] ).
cnf(126,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,C),D))),e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G))))),A))),
inference(hyper,[status(thm)],[110,1,3]),
[iquote('hyper,110,1,3')] ).
cnf(134,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,B),C)))),e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,e_quivalent(A,e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),E)))),
inference(hyper,[status(thm)],[124,1,4]),
[iquote('hyper,124,1,4')] ).
cnf(135,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(e_quivalent(C,D),e_quivalent(e_quivalent(D,e_quivalent(E,e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G))))),C)),E)),A))),
inference(hyper,[status(thm)],[124,1,3]),
[iquote('hyper,124,1,3')] ).
cnf(197,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),e_quivalent(e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E))),e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),C)),
inference(hyper,[status(thm)],[126,1,3]),
[iquote('hyper,126,1,3')] ).
cnf(228,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),e_quivalent(e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,e_quivalent(F,e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),D)),F)),C)),
inference(hyper,[status(thm)],[135,1,3]),
[iquote('hyper,135,1,3')] ).
cnf(318,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),D),C),e_quivalent(D,e_quivalent(E,e_quivalent(e_quivalent(F,G),e_quivalent(e_quivalent(G,E),F)))))),
inference(hyper,[status(thm)],[20,1,124]),
[iquote('hyper,20,1,124')] ).
cnf(339,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(B,e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E))))),e_quivalent(C,A)),e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),
inference(hyper,[status(thm)],[318,1,124]),
[iquote('hyper,318,1,124')] ).
cnf(975,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,C),D))))),e_quivalent(B,e_quivalent(F,e_quivalent(e_quivalent(G,H),e_quivalent(e_quivalent(H,F),G)))))),
inference(hyper,[status(thm)],[228,1,7]),
[iquote('hyper,228,1,7')] ).
cnf(984,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(B,e_quivalent(C,A)),e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E)))))),C)),
inference(hyper,[status(thm)],[228,1,4]),
[iquote('hyper,228,1,4')] ).
cnf(1107,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B))),D),D),e_quivalent(E,e_quivalent(e_quivalent(F,G),e_quivalent(e_quivalent(G,E),F))))),
inference(hyper,[status(thm)],[975,1,8]),
[iquote('hyper,975,1,8')] ).
cnf(1115,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(e_quivalent(e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,C),D))),F),F),e_quivalent(G,e_quivalent(e_quivalent(H,I),e_quivalent(e_quivalent(I,G),H))))),A))),
inference(hyper,[status(thm)],[1107,1,134]),
[iquote('hyper,1107,1,134')] ).
cnf(1343,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,D)),A)),C),D),e_quivalent(E,e_quivalent(e_quivalent(F,G),e_quivalent(e_quivalent(G,E),F))))),
inference(hyper,[status(thm)],[339,1,318]),
[iquote('hyper,339,1,318')] ).
cnf(1976,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B))),D),D)),
inference(hyper,[status(thm)],[1115,1,124]),
[iquote('hyper,1115,1,124')] ).
cnf(2072,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(B,e_quivalent(D,e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(F,D),E))))),e_quivalent(C,A))),
inference(hyper,[status(thm)],[1976,1,228]),
[iquote('hyper,1976,1,228')] ).
cnf(2164,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),B),e_quivalent(C,e_quivalent(e_quivalent(D,E),e_quivalent(e_quivalent(E,C),D)))),A)),
inference(hyper,[status(thm)],[2072,1,975]),
[iquote('hyper,2072,1,975')] ).
cnf(2179,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,D)),A)),C),D)),
inference(hyper,[status(thm)],[2072,1,4]),
[iquote('hyper,2072,1,4')] ).
cnf(2240,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,D),B)),e_quivalent(E,A)),D)),E)),
inference(hyper,[status(thm)],[2179,1,197]),
[iquote('hyper,2179,1,197')] ).
cnf(2340,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,C)),A))),
inference(hyper,[status(thm)],[2164,1,1343]),
[iquote('hyper,2164,1,1343')] ).
cnf(2342,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,B)),C),e_quivalent(D,D)),e_quivalent(C,A))),
inference(hyper,[status(thm)],[2340,1,2340]),
[iquote('hyper,2340,1,2340')] ).
cnf(2343,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),A),B)),
inference(hyper,[status(thm)],[2340,1,2072]),
[iquote('hyper,2340,1,2072')] ).
cnf(2344,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),e_quivalent(D,D)),C)),
inference(hyper,[status(thm)],[2340,1,1976]),
[iquote('hyper,2340,1,1976')] ).
cnf(2456,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,B)),e_quivalent(e_quivalent(C,A),C))),
inference(hyper,[status(thm)],[2343,1,2340]),
[iquote('hyper,2343,1,2340')] ).
cnf(3155,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(A,e_quivalent(C,C))),B))),
inference(hyper,[status(thm)],[2342,1,2179]),
[iquote('hyper,2342,1,2179')] ).
cnf(3370,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,A)),B)),
inference(hyper,[status(thm)],[2344,1,2072]),
[iquote('hyper,2344,1,2072')] ).
cnf(3380,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,B)),e_quivalent(C,e_quivalent(A,C)))),
inference(hyper,[status(thm)],[3370,1,2340]),
[iquote('hyper,3370,1,2340')] ).
cnf(3415,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,e_quivalent(D,C)),D)),A))),
inference(hyper,[status(thm)],[3370,1,3]),
[iquote('hyper,3370,1,3')] ).
cnf(3416,plain,
is_a_theorem(e_quivalent(A,e_quivalent(A,e_quivalent(B,B)))),
inference(hyper,[status(thm)],[3370,1,3155]),
[iquote('hyper,3370,1,3155')] ).
cnf(3538,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,A)),B),e_quivalent(C,C))),
inference(hyper,[status(thm)],[3416,1,3370]),
[iquote('hyper,3416,1,3370')] ).
cnf(3539,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(A,e_quivalent(C,C))),B)),e_quivalent(D,D))),
inference(hyper,[status(thm)],[3416,1,3155]),
[iquote('hyper,3416,1,3155')] ).
cnf(3542,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,B)),e_quivalent(e_quivalent(C,A),C)),e_quivalent(D,D))),
inference(hyper,[status(thm)],[3416,1,2456]),
[iquote('hyper,3416,1,2456')] ).
cnf(3762,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(C,B)),C)),A)),
inference(hyper,[status(thm)],[3538,1,2456]),
[iquote('hyper,3538,1,2456')] ).
cnf(4669,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,e_quivalent(B,e_quivalent(D,D))),C)),A))),
inference(hyper,[status(thm)],[3539,1,3380]),
[iquote('hyper,3539,1,3380')] ).
cnf(4672,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,e_quivalent(C,C)),e_quivalent(e_quivalent(D,B),D)),A))),
inference(hyper,[status(thm)],[3542,1,3380]),
[iquote('hyper,3542,1,3380')] ).
cnf(4733,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,A),B))),
inference(hyper,[status(thm)],[2240,1,4672]),
[iquote('hyper,2240,1,4672')] ).
cnf(4734,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B)),e_quivalent(D,D)))),
inference(hyper,[status(thm)],[2240,1,4669]),
[iquote('hyper,2240,1,4669')] ).
cnf(4799,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,B)),C),e_quivalent(C,A))),
inference(hyper,[status(thm)],[4734,1,2240]),
[iquote('hyper,4734,1,2240')] ).
cnf(4801,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,e_quivalent(C,C)),D),e_quivalent(D,B))),A)),
inference(hyper,[status(thm)],[4799,1,4733]),
[iquote('hyper,4799,1,4733')] ).
cnf(4900,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,A)),B),C),e_quivalent(C,e_quivalent(D,D)))),
inference(hyper,[status(thm)],[4801,1,3415]),
[iquote('hyper,4801,1,3415')] ).
cnf(4942,plain,
is_a_theorem(e_quivalent(A,e_quivalent(B,e_quivalent(A,B)))),
inference(hyper,[status(thm)],[4900,1,984]),
[iquote('hyper,4900,1,984')] ).
cnf(4978,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,e_quivalent(C,e_quivalent(D,e_quivalent(C,D)))),A))),
inference(hyper,[status(thm)],[4942,1,3]),
[iquote('hyper,4942,1,3')] ).
cnf(5063,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),A)),B),C)),
inference(hyper,[status(thm)],[4978,1,2072]),
[iquote('hyper,4978,1,2072')] ).
cnf(5072,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(B,C),A)),C)),
inference(hyper,[status(thm)],[5063,1,45]),
[iquote('hyper,5063,1,45')] ).
cnf(5080,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,D),B)),D)),A)),
inference(hyper,[status(thm)],[5072,1,4733]),
[iquote('hyper,5072,1,4733')] ).
cnf(5124,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),e_quivalent(C,A))),
inference(hyper,[status(thm)],[5080,1,7]),
[iquote('hyper,5080,1,7')] ).
cnf(5125,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,A),B)),C))),
inference(hyper,[status(thm)],[5080,1,4978]),
[iquote('hyper,5080,1,4978')] ).
cnf(5129,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,e_quivalent(D,A)),B)),D))),
inference(hyper,[status(thm)],[5080,1,4]),
[iquote('hyper,5080,1,4')] ).
cnf(5227,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(A,C))),B)),
inference(hyper,[status(thm)],[5124,1,3762]),
[iquote('hyper,5124,1,3762')] ).
cnf(5249,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(A,B)),B)),
inference(hyper,[status(thm)],[5125,1,5072]),
[iquote('hyper,5125,1,5072')] ).
cnf(5258,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),B),A)),
inference(hyper,[status(thm)],[5249,1,5124]),
[iquote('hyper,5249,1,5124')] ).
cnf(5312,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(B,C)),C)),A)),
inference(hyper,[status(thm)],[5249,1,4733]),
[iquote('hyper,5249,1,4733')] ).
cnf(5432,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,C),C),B)),A)),
inference(hyper,[status(thm)],[5258,1,4733]),
[iquote('hyper,5258,1,4733')] ).
cnf(5524,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(C,A),B))),C)),
inference(hyper,[status(thm)],[5227,1,5072]),
[iquote('hyper,5227,1,5072')] ).
cnf(5559,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(A,B)),B),C),C)),
inference(hyper,[status(thm)],[5312,1,5258]),
[iquote('hyper,5312,1,5258')] ).
cnf(5594,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),B),A),C),C)),
inference(hyper,[status(thm)],[5432,1,5258]),
[iquote('hyper,5432,1,5258')] ).
cnf(5803,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(C,B)),A)),C)),
inference(hyper,[status(thm)],[5524,1,5124]),
[iquote('hyper,5524,1,5124')] ).
cnf(5816,plain,
is_a_theorem(e_quivalent(A,e_quivalent(B,e_quivalent(B,A)))),
inference(hyper,[status(thm)],[5559,1,5124]),
[iquote('hyper,5559,1,5124')] ).
cnf(5848,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(C,e_quivalent(C,B)))),A)),
inference(hyper,[status(thm)],[5816,1,4733]),
[iquote('hyper,5816,1,4733')] ).
cnf(5935,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),B))),
inference(hyper,[status(thm)],[5594,1,5124]),
[iquote('hyper,5594,1,5124')] ).
cnf(5970,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(B,C),C))),A)),
inference(hyper,[status(thm)],[5935,1,4733]),
[iquote('hyper,5935,1,4733')] ).
cnf(6260,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(A,B)),C),B),C)),
inference(hyper,[status(thm)],[5848,1,5124]),
[iquote('hyper,5848,1,5124')] ).
cnf(6364,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),B),C),A),C)),
inference(hyper,[status(thm)],[5970,1,5124]),
[iquote('hyper,5970,1,5124')] ).
cnf(6695,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,A)),e_quivalent(C,e_quivalent(C,B)))),
inference(hyper,[status(thm)],[6260,1,5803]),
[iquote('hyper,6260,1,5803')] ).
cnf(6734,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(B,A))),
inference(hyper,[status(thm)],[6364,1,5072]),
[iquote('hyper,6364,1,5072')] ).
cnf(6780,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(C,B))),A)),
inference(hyper,[status(thm)],[6734,1,4733]),
[iquote('hyper,6734,1,4733')] ).
cnf(7287,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(C,e_quivalent(C,A)))),B)),
inference(hyper,[status(thm)],[6695,1,5124]),
[iquote('hyper,6695,1,5124')] ).
cnf(7745,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(B,A)),C)),
inference(hyper,[status(thm)],[6780,1,5124]),
[iquote('hyper,6780,1,5124')] ).
cnf(8850,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),A)),e_quivalent(C,B))),
inference(hyper,[status(thm)],[7745,1,5803]),
[iquote('hyper,7745,1,5803')] ).
cnf(9042,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(B,A))),C)),
inference(hyper,[status(thm)],[8850,1,5124]),
[iquote('hyper,8850,1,5124')] ).
cnf(9174,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(B,e_quivalent(C,A)))),
inference(hyper,[status(thm)],[5129,1,2240]),
[iquote('hyper,5129,1,2240')] ).
cnf(9186,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(e_quivalent(C,A),B))),
inference(hyper,[status(thm)],[9174,1,6734]),
[iquote('hyper,9174,1,6734')] ).
cnf(9219,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(A,e_quivalent(C,B)))),
inference(hyper,[status(thm)],[9174,1,9042]),
[iquote('hyper,9174,1,9042')] ).
cnf(9240,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(B,C))),e_quivalent(A,C))),
inference(hyper,[status(thm)],[9174,1,7287]),
[iquote('hyper,9174,1,7287')] ).
cnf(9457,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(A,C))),e_quivalent(C,B))),
inference(hyper,[status(thm)],[9186,1,9186]),
[iquote('hyper,9186,1,9186')] ).
cnf(9858,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),e_quivalent(A,C))),
inference(hyper,[status(thm)],[9219,1,5124]),
[iquote('hyper,9219,1,5124')] ).
cnf(13564,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(A,B))),C)),
inference(hyper,[status(thm)],[9457,1,9240]),
[iquote('hyper,9457,1,9240')] ).
cnf(16393,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(A,C),B)))),
inference(hyper,[status(thm)],[13564,1,9858]),
[iquote('hyper,13564,1,9858')] ).
cnf(16394,plain,
$false,
inference(binary,[status(thm)],[16393,2]),
[iquote('binary,16393.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.15/0.34 % Computer : n018.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Jul 27 09:27:16 EDT 2022
% 0.15/0.34 % CPUTime :
% 7.61/7.76 ----- Otter 3.3f, August 2004 -----
% 7.61/7.76 The process was started by sandbox on n018.cluster.edu,
% 7.61/7.76 Wed Jul 27 09:27:16 2022
% 7.61/7.76 The command was "./otter". The process ID is 4003.
% 7.61/7.76
% 7.61/7.76 set(prolog_style_variables).
% 7.61/7.76 set(auto).
% 7.61/7.76 dependent: set(auto1).
% 7.61/7.76 dependent: set(process_input).
% 7.61/7.76 dependent: clear(print_kept).
% 7.61/7.76 dependent: clear(print_new_demod).
% 7.61/7.76 dependent: clear(print_back_demod).
% 7.61/7.76 dependent: clear(print_back_sub).
% 7.61/7.76 dependent: set(control_memory).
% 7.61/7.76 dependent: assign(max_mem, 12000).
% 7.61/7.76 dependent: assign(pick_given_ratio, 4).
% 7.61/7.76 dependent: assign(stats_level, 1).
% 7.61/7.76 dependent: assign(max_seconds, 10800).
% 7.61/7.76 clear(print_given).
% 7.61/7.76
% 7.61/7.76 list(usable).
% 7.61/7.76 0 [] -is_a_theorem(e_quivalent(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 7.61/7.76 0 [] is_a_theorem(e_quivalent(X,e_quivalent(e_quivalent(Y,Z),e_quivalent(e_quivalent(Z,X),Y)))).
% 7.61/7.76 0 [] -is_a_theorem(e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(a,c),b)))).
% 7.61/7.76 end_of_list.
% 7.61/7.76
% 7.61/7.76 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 7.61/7.76
% 7.61/7.76 This is a Horn set without equality. The strategy will
% 7.61/7.76 be hyperresolution, with satellites in sos and nuclei
% 7.61/7.76 in usable.
% 7.61/7.76
% 7.61/7.76 dependent: set(hyper_res).
% 7.61/7.76 dependent: clear(order_hyper).
% 7.61/7.76
% 7.61/7.76 ------------> process usable:
% 7.61/7.76 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(e_quivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 7.61/7.76 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(a,c),b)))).
% 7.61/7.76
% 7.61/7.76 ------------> process sos:
% 7.61/7.76 ** KEPT (pick-wt=12): 3 [] is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(C,A),B)))).
% 7.61/7.76
% 7.61/7.76 ======= end of input processing =======
% 7.61/7.76
% 7.61/7.76 =========== start of search ===========
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 28.
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 28.
% 7.61/7.76
% 7.61/7.76 sos_size=3426
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 20.
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 20.
% 7.61/7.76
% 7.61/7.76 sos_size=3651
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 16.
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Resetting weight limit to 16.
% 7.61/7.76
% 7.61/7.76 sos_size=4443
% 7.61/7.76
% 7.61/7.76 -------- PROOF --------
% 7.61/7.76
% 7.61/7.76 ----> UNIT CONFLICT at 5.86 sec ----> 16394 [binary,16393.1,2.1] $F.
% 7.61/7.76
% 7.61/7.76 Length of proof is 88. Level of proof is 45.
% 7.61/7.76
% 7.61/7.76 ---------------- PROOF ----------------
% 7.61/7.76 % SZS status Unsatisfiable
% 7.61/7.76 % SZS output start Refutation
% See solution above
% 7.61/7.76 ------------ end of proof -------------
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Search stopped by max_proofs option.
% 7.61/7.76
% 7.61/7.76
% 7.61/7.76 Search stopped by max_proofs option.
% 7.61/7.76
% 7.61/7.76 ============ end of search ============
% 7.61/7.76
% 7.61/7.76 -------------- statistics -------------
% 7.61/7.76 clauses given 1560
% 7.61/7.76 clauses generated 1223308
% 7.61/7.76 clauses kept 16393
% 7.61/7.76 clauses forward subsumed 282091
% 7.61/7.76 clauses back subsumed 1
% 7.61/7.76 Kbytes malloced 9765
% 7.61/7.76
% 7.61/7.76 ----------- times (seconds) -----------
% 7.61/7.76 user CPU time 5.86 (0 hr, 0 min, 5 sec)
% 7.61/7.76 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 7.61/7.76 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 7.61/7.76
% 7.61/7.76 That finishes the proof of the theorem.
% 7.61/7.76
% 7.61/7.76 Process 4003 finished Wed Jul 27 09:27:24 2022
% 7.61/7.76 Otter interrupted
% 7.61/7.76 PROOF FOUND
%------------------------------------------------------------------------------