TSTP Solution File: LCL067-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:03:26 EDT 2022
% Result : Unsatisfiable 2.59s 2.82s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 32 ( 31 unt; 0 nHn; 3 RR)
% Number of literals : 34 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL067-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('LCL067-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
file('LCL067-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))),
file('LCL067-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))),
file('LCL067-1.p',unknown),
[] ).
cnf(6,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(8,plain,
is_a_theorem(implies(A,implies(B,implies(C,A)))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(13,plain,
is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))),
inference(hyper,[status(thm)],[8,1,3]),
[iquote('hyper,8,1,3')] ).
cnf(21,plain,
is_a_theorem(implies(not(A),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[4,1,6]),
[iquote('hyper,4,1,6')] ).
cnf(22,plain,
is_a_theorem(implies(not(implies(A,B)),implies(B,C))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(42,plain,
is_a_theorem(implies(not(not(A)),implies(implies(B,C),implies(implies(A,B),C)))),
inference(hyper,[status(thm)],[5,1,4]),
[iquote('hyper,5,1,4')] ).
cnf(43,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(D,B),A),implies(B,C)))),
inference(hyper,[status(thm)],[5,1,22]),
[iquote('hyper,5,1,22')] ).
cnf(44,plain,
is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(implies(C,A),implies(B,implies(C,D))))),
inference(hyper,[status(thm)],[5,1,21]),
[iquote('hyper,5,1,21')] ).
cnf(47,plain,
is_a_theorem(implies(implies(A,implies(B,not(C))),implies(implies(C,A),implies(B,not(C))))),
inference(hyper,[status(thm)],[5,1,6]),
[iquote('hyper,5,1,6')] ).
cnf(145,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),not(not(D))),implies(implies(B,C),implies(implies(D,B),C)))),
inference(hyper,[status(thm)],[43,1,42]),
[iquote('hyper,43,1,42')] ).
cnf(149,plain,
is_a_theorem(implies(implies(implies(A,B),not(C)),implies(B,implies(C,D)))),
inference(hyper,[status(thm)],[43,1,21]),
[iquote('hyper,43,1,21')] ).
cnf(152,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,implies(D,implies(E,C))))),
inference(hyper,[status(thm)],[43,1,13]),
[iquote('hyper,43,1,13')] ).
cnf(156,plain,
is_a_theorem(implies(implies(implies(A,B),implies(implies(C,B),D)),implies(B,D))),
inference(hyper,[status(thm)],[43,1,3]),
[iquote('hyper,43,1,3')] ).
cnf(219,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(hyper,[status(thm)],[156,1,149]),
[iquote('hyper,156,1,149')] ).
cnf(221,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[156,1,3]),
[iquote('hyper,156,1,3')] ).
cnf(256,plain,
is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[44,1,219]),
[iquote('hyper,44,1,219')] ).
cnf(261,plain,
is_a_theorem(implies(implies(A,implies(implies(B,C),D)),implies(C,implies(A,implies(E,D))))),
inference(hyper,[status(thm)],[44,1,152]),
[iquote('hyper,44,1,152')] ).
cnf(288,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(hyper,[status(thm)],[256,1,221]),
[iquote('hyper,256,1,221')] ).
cnf(294,plain,
is_a_theorem(implies(implies(implies(A,not(B)),B),implies(not(B),C))),
inference(hyper,[status(thm)],[288,1,43]),
[iquote('hyper,288,1,43')] ).
cnf(580,plain,
is_a_theorem(implies(implies(A,implies(B,not(A))),implies(B,not(A)))),
inference(hyper,[status(thm)],[47,1,221]),
[iquote('hyper,47,1,221')] ).
cnf(581,plain,
is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))),
inference(hyper,[status(thm)],[47,1,219]),
[iquote('hyper,47,1,219')] ).
cnf(2897,plain,
is_a_theorem(implies(not(A),not(implies(implies(B,not(A)),A)))),
inference(hyper,[status(thm)],[580,1,294]),
[iquote('hyper,580,1,294')] ).
cnf(2921,plain,
is_a_theorem(implies(implies(implies(A,not(B)),B),not(not(B)))),
inference(hyper,[status(thm)],[2897,1,581]),
[iquote('hyper,2897,1,581')] ).
cnf(2954,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(A,B),A),B))),
inference(hyper,[status(thm)],[145,1,2921]),
[iquote('hyper,145,1,2921')] ).
cnf(3177,plain,
is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))),
inference(hyper,[status(thm)],[261,1,2954]),
[iquote('hyper,261,1,2954')] ).
cnf(3183,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(hyper,[status(thm)],[3177,1,44]),
[iquote('hyper,3177,1,44')] ).
cnf(3184,plain,
$false,
inference(binary,[status(thm)],[3183,2]),
[iquote('binary,3183.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:18:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.59/2.82 ----- Otter 3.3f, August 2004 -----
% 2.59/2.82 The process was started by sandbox2 on n008.cluster.edu,
% 2.59/2.82 Wed Jul 27 09:18:38 2022
% 2.59/2.82 The command was "./otter". The process ID is 18436.
% 2.59/2.82
% 2.59/2.82 set(prolog_style_variables).
% 2.59/2.82 set(auto).
% 2.59/2.82 dependent: set(auto1).
% 2.59/2.82 dependent: set(process_input).
% 2.59/2.82 dependent: clear(print_kept).
% 2.59/2.82 dependent: clear(print_new_demod).
% 2.59/2.82 dependent: clear(print_back_demod).
% 2.59/2.82 dependent: clear(print_back_sub).
% 2.59/2.82 dependent: set(control_memory).
% 2.59/2.82 dependent: assign(max_mem, 12000).
% 2.59/2.82 dependent: assign(pick_given_ratio, 4).
% 2.59/2.82 dependent: assign(stats_level, 1).
% 2.59/2.82 dependent: assign(max_seconds, 10800).
% 2.59/2.82 clear(print_given).
% 2.59/2.82
% 2.59/2.82 list(usable).
% 2.59/2.82 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 2.59/2.82 0 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 2.59/2.82 0 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))).
% 2.59/2.82 0 [] is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))).
% 2.59/2.82 0 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 2.59/2.82 end_of_list.
% 2.59/2.82
% 2.59/2.82 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 2.59/2.82
% 2.59/2.82 This is a Horn set without equality. The strategy will
% 2.59/2.82 be hyperresolution, with satellites in sos and nuclei
% 2.59/2.82 in usable.
% 2.59/2.82
% 2.59/2.82 dependent: set(hyper_res).
% 2.59/2.82 dependent: clear(order_hyper).
% 2.59/2.82
% 2.59/2.82 ------------> process usable:
% 2.59/2.82 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 2.59/2.82 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 2.59/2.82
% 2.59/2.82 ------------> process sos:
% 2.59/2.82 ** KEPT (pick-wt=10): 3 [] is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 2.59/2.82 ** KEPT (pick-wt=11): 4 [] is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 2.59/2.82 ** KEPT (pick-wt=15): 5 [] is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))).
% 2.59/2.82
% 2.59/2.82 ======= end of input processing =======
% 2.59/2.82
% 2.59/2.82 =========== start of search ===========
% 2.59/2.82
% 2.59/2.82
% 2.59/2.82 Resetting weight limit to 12.
% 2.59/2.82
% 2.59/2.82
% 2.59/2.82 Resetting weight limit to 12.
% 2.59/2.82
% 2.59/2.82 sos_size=2373
% 2.59/2.82
% 2.59/2.82 -------- PROOF --------
% 2.59/2.82
% 2.59/2.82 ----> UNIT CONFLICT at 0.93 sec ----> 3184 [binary,3183.1,2.1] $F.
% 2.59/2.82
% 2.59/2.82 Length of proof is 26. Level of proof is 12.
% 2.59/2.82
% 2.59/2.82 ---------------- PROOF ----------------
% 2.59/2.82 % SZS status Unsatisfiable
% 2.59/2.82 % SZS output start Refutation
% See solution above
% 2.59/2.82 ------------ end of proof -------------
% 2.59/2.82
% 2.59/2.82
% 2.59/2.82 Search stopped by max_proofs option.
% 2.59/2.82
% 2.59/2.82
% 2.59/2.82 Search stopped by max_proofs option.
% 2.59/2.82
% 2.59/2.82 ============ end of search ============
% 2.59/2.82
% 2.59/2.82 -------------- statistics -------------
% 2.59/2.82 clauses given 997
% 2.59/2.82 clauses generated 492984
% 2.59/2.82 clauses kept 3183
% 2.59/2.82 clauses forward subsumed 180485
% 2.59/2.82 clauses back subsumed 77
% 2.59/2.82 Kbytes malloced 5859
% 2.59/2.82
% 2.59/2.82 ----------- times (seconds) -----------
% 2.59/2.82 user CPU time 0.93 (0 hr, 0 min, 0 sec)
% 2.59/2.82 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.59/2.82 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.59/2.82
% 2.59/2.82 That finishes the proof of the theorem.
% 2.59/2.82
% 2.59/2.82 Process 18436 finished Wed Jul 27 09:18:41 2022
% 2.59/2.82 Otter interrupted
% 2.59/2.82 PROOF FOUND
%------------------------------------------------------------------------------