%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ042-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %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 : 300s
% DateTime : Wed Jul 27 13:11:27 EDT 2022
% Result : Unsatisfiable 2.42s 2.64s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 22 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)
| state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)
| state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ state(A,B,C,D,E,F,G,H,s3(I,s(J)),K,e1(I,J),L)
| state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(I,s(J)),L) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)
| state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ state(A,B,C,D,E,h(F,G),H,I,J,K,e1(s(F),G),e2(s(F),s(G)))
| state(A,B,C,D,E,h(s(F),G),H,I,J,K,e1(F,G),e2(F,s(G))) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))
| state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L)) ),
file('PUZ042-1.p',unknown),
[] ).
cnf(42,axiom,
~ state(A,B,C,D,E,h(s(s(s(o))),s(o)),F,G,H,I,J,K),
file('PUZ042-1.p',unknown),
[] ).
cnf(43,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('PUZ042-1.p',unknown),
[] ).
cnf(44,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),
inference(hyper,[status(thm)],[43,41]),
[iquote('hyper,43,41')] ).
cnf(57,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),
inference(hyper,[status(thm)],[44,13]),
[iquote('hyper,44,13')] ).
cnf(118,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),
inference(hyper,[status(thm)],[57,7]),
[iquote('hyper,57,7')] ).
cnf(265,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),
inference(hyper,[status(thm)],[118,41]),
[iquote('hyper,118,41')] ).
cnf(688,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),
inference(hyper,[status(thm)],[265,10]),
[iquote('hyper,265,10')] ).
cnf(1443,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),
inference(hyper,[status(thm)],[688,3]),
[iquote('hyper,688,3')] ).
cnf(2104,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),
inference(hyper,[status(thm)],[1443,35]),
[iquote('hyper,1443,35')] ).
cnf(2105,plain,
$false,
inference(binary,[status(thm)],[2104,42]),
[iquote('binary,2104.1,42.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ042-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Wed Jul 27 01:46:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.81/2.02 ----- Otter 3.3f, August 2004 -----
% 1.81/2.02 The process was started by sandbox2 on n012.cluster.edu,
% 1.81/2.02 Wed Jul 27 01:46:21 2022
% 1.81/2.02 The command was "./otter". The process ID is 4368.
% 1.81/2.02
% 1.81/2.02 set(prolog_style_variables).
% 1.81/2.02 set(auto).
% 1.81/2.02 dependent: set(auto1).
% 1.81/2.02 dependent: set(process_input).
% 1.81/2.02 dependent: clear(print_kept).
% 1.81/2.02 dependent: clear(print_new_demod).
% 1.81/2.02 dependent: clear(print_back_demod).
% 1.81/2.02 dependent: clear(print_back_sub).
% 1.81/2.02 dependent: set(control_memory).
% 1.81/2.02 dependent: assign(max_mem, 12000).
% 1.81/2.02 dependent: assign(pick_given_ratio, 4).
% 1.81/2.02 dependent: assign(stats_level, 1).
% 1.81/2.02 dependent: assign(max_seconds, 10800).
% 1.81/2.02 clear(print_given).
% 1.81/2.02
% 1.81/2.02 list(usable).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2)|state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2)|state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2)|state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2)|state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2)|state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2)|state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2)|state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2).
% 1.81/2.02 0 [] -state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))|state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)).
% 1.81/2.02 0 [] -state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))|state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))).
% 1.81/2.02 0 [] -state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)|state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)|state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))|state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)).
% 1.81/2.02 0 [] -state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))|state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))).
% 1.81/2.02 0 [] -state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)|state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)|state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))|state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)).
% 1.81/2.02 0 [] -state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))|state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))).
% 1.81/2.02 0 [] -state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)|state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2)|state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))|state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))|state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)|state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2)|state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2)|state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y)))|state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))|state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))).
% 1.81/2.02 0 [] -state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y))))|state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)).
% 1.81/2.02 0 [] -state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))|state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))).
% 1.81/2.02 0 [] -state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y)))|state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))).
% 1.81/2.02 0 [] -state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))|state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W))|state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y)).
% 1.81/2.02 0 [] state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))).
% 1.81/2.02 0 [] -state(B,V1,V2,V3,V4,h(s(s(s(o))),s(o)),S1,S2,S3,S4,E1,E2).
% 1.81/2.02 end_of_list.
% 1.81/2.02
% 1.81/2.02 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.81/2.02
% 1.81/2.02 This is a Horn set without equality. The strategy will
% 1.81/2.02 be hyperresolution, with satellites in sos and nuclei
% 1.81/2.02 in usable.
% 1.81/2.02
% 1.81/2.02 dependent: set(hyper_res).
% 1.81/2.02 dependent: clear(order_hyper).
% 1.81/2.02
% 1.81/2.02 ------------> process usable:
% 1.81/2.02 ** KEPT (pick-wt=36): 1 [] -state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L)|state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 2 [] -state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 3 [] -state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)|state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 4 [] -state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 5 [] -state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(H,s(I)),L)|state(A,B,C,D,E,F,G,s2(H,s(I)),J,K,e1(H,I),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 6 [] -state(A,B,C,D,E,F,G,s2(H,s(I)),J,K,e1(H,I),L)|state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(H,s(I)),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 7 [] -state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)|state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 8 [] -state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L)|state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 9 [] -state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(I,s(J)),L)|state(A,B,C,D,E,F,G,H,s3(I,s(J)),K,e1(I,J),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 10 [] -state(A,B,C,D,E,F,G,H,s3(I,s(J)),K,e1(I,J),L)|state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(I,s(J)),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 11 [] -state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L)|state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 12 [] -state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L)|state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 13 [] -state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)|state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 14 [] -state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L)|state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 15 [] -state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(s(J),K),L)|state(A,B,C,D,E,F,G,H,I,s4(s(J),K),e1(J,K),L).
% 1.81/2.02 ** KEPT (pick-wt=36): 16 [] -state(A,B,C,D,E,F,G,H,I,s4(s(J),K),e1(J,K),L)|state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(s(J),K),L).
% 2.42/2.64 ** KEPT (pick-wt=43): 17 [] -state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(B,s(C)),e2(s(B),s(C)))|state(A,v1(B,s(C)),D,E,F,G,H,I,J,K,e1(B,C),e2(s(B),C)).
% 2.42/2.64 ** KEPT (pick-wt=43): 18 [] -state(A,v1(B,s(C)),D,E,F,G,H,I,J,K,e1(B,C),e2(s(B),C))|state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(B,s(C)),e2(s(B),s(C))).
% 2.42/2.64 ** KEPT (pick-wt=37): 19 [] -state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)|state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 20 [] -state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)|state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L).
% 2.42/2.64 ** KEPT (pick-wt=43): 21 [] -state(A,B,v2(C,D),E,F,G,H,I,J,K,e1(C,s(D)),e2(s(C),s(D)))|state(A,B,v2(C,s(D)),E,F,G,H,I,J,K,e1(C,D),e2(s(C),D)).
% 2.42/2.64 ** KEPT (pick-wt=43): 22 [] -state(A,B,v2(C,s(D)),E,F,G,H,I,J,K,e1(C,D),e2(s(C),D))|state(A,B,v2(C,D),E,F,G,H,I,J,K,e1(C,s(D)),e2(s(C),s(D))).
% 2.42/2.64 ** KEPT (pick-wt=37): 23 [] -state(A,B,v2(C,D),E,F,G,H,I,J,K,e1(s(s(C)),D),L)|state(A,B,v2(s(C),D),E,F,G,H,I,J,K,e1(C,D),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 24 [] -state(A,B,v2(s(C),D),E,F,G,H,I,J,K,e1(C,D),L)|state(A,B,v2(C,D),E,F,G,H,I,J,K,e1(s(s(C)),D),L).
% 2.42/2.64 ** KEPT (pick-wt=43): 25 [] -state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E)))|state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E)).
% 2.42/2.64 ** KEPT (pick-wt=43): 26 [] -state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E))|state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E))).
% 2.42/2.64 ** KEPT (pick-wt=37): 27 [] -state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)|state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 28 [] -state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L)|state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L).
% 2.42/2.64 ** KEPT (pick-wt=43): 29 [] -state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F)))|state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F)).
% 2.42/2.64 ** KEPT (pick-wt=43): 30 [] -state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F))|state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F))).
% 2.42/2.64 ** KEPT (pick-wt=37): 31 [] -state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L)|state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 32 [] -state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L)|state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 33 [] -state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)|state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L).
% 2.42/2.64 ** KEPT (pick-wt=37): 34 [] -state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)|state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L).
% 2.42/2.64 ** KEPT (pick-wt=43): 35 [] -state(A,B,C,D,E,h(F,G),H,I,J,K,e1(s(F),G),e2(s(F),s(G)))|state(A,B,C,D,E,h(s(F),G),H,I,J,K,e1(F,G),e2(F,s(G))).
% 2.42/2.64 ** KEPT (pick-wt=43): 36 [] -state(A,B,C,D,E,h(s(F),G),H,I,J,K,e1(F,G),e2(F,s(G)))|state(A,B,C,D,E,h(F,G),H,I,J,K,e1(s(F),G),e2(s(F),s(G))).
% 2.42/2.64 ** KEPT (pick-wt=45): 37 [] -state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B))))|state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B)).
% 2.42/2.64 ** KEPT (pick-wt=45): 38 [] -state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B))|state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B)))).
% 2.42/2.64 ** KEPT (pick-wt=45): 39 [] -state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(s(s(A)),B),e2(s(s(A)),s(B)))|state(bb(s(A),B),C,D,E,F,G,H,I,J,K,e1(A,B),e2(A,s(B))).
% 2.42/2.64 ** KEPT (pick-wt=45): 40 [] -state(bb(s(A),B),C,D,E,F,G,H,I,J,K,e1(A,B),e2(A,s(B)))|state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(s(s(A)),B),e2(s(s(A)),s(B))).
% 2.42/2.64 ** KEPT (pick-wt=34): 41 [] -state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))|state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L)).
% 2.42/2.64 ** KEPT (pick-wt=19): 42 [] -state(A,B,C,D,E,h(s(s(s(o))),s(o)),F,G,H,I,J,K).
% 2.42/2.64
% 2.42/2.64 ------------> process sos:
% 2.42/2.64 ** KEPT (pick-wt=82): 43 [] state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))).
% 2.42/2.64
% 2.42/2.64 ======= end of input processing =======
% 2.42/2.64
% 2.42/2.64 =========== start of search ===========
% 2.42/2.64
% 2.42/2.64 -------- PROOF --------
% 2.42/2.64
% 2.42/2.64 ----> UNIT CONFLICT at 0.62 sec ----> 2105 [binary,2104.1,42.1] $F.
% 2.42/2.64
% 2.42/2.64 Length of proof is 7. Level of proof is 7.
% 2.42/2.64
% 2.42/2.64 ---------------- PROOF ----------------
% 2.42/2.64 % SZS status Unsatisfiable
% 2.42/2.64 % SZS output start Refutation
% See solution above
% 2.42/2.64 ------------ end of proof -------------
% 2.42/2.64
% 2.42/2.64
% 2.42/2.64 Search stopped by max_proofs option.
% 2.42/2.64
% 2.42/2.64
% 2.42/2.64 Search stopped by max_proofs option.
% 2.42/2.64
% 2.42/2.64 ============ end of search ============
% 2.42/2.64
% 2.42/2.64 -------------- statistics -------------
% 2.42/2.64 clauses given 1671
% 2.42/2.64 clauses generated 4668
% 2.42/2.64 clauses kept 2104
% 2.42/2.64 clauses forward subsumed 2607
% 2.42/2.64 clauses back subsumed 0
% 2.42/2.64 Kbytes malloced 3906
% 2.42/2.64
% 2.42/2.64 ----------- times (seconds) -----------
% 2.42/2.64 user CPU time 0.62 (0 hr, 0 min, 0 sec)
% 2.42/2.64 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.42/2.64 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.42/2.64
% 2.42/2.64 That finishes the proof of the theorem.
% 2.42/2.64
% 2.42/2.64 Process 4368 finished Wed Jul 27 01:46:23 2022
% 2.42/2.64 Otter interrupted
% 2.42/2.64 PROOF FOUND
%------------------------------------------------------------------------------