TSTP Solution File: LCL085-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:03:30 EDT 2022
% Result : Unsatisfiable 8.20s 8.36s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of clauses : 57 ( 56 unt; 0 nHn; 3 RR)
% Number of literals : 59 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 198 ( 90 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL085-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('LCL085-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
file('LCL085-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(5,plain,
is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(6,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(7,plain,
is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))),
inference(hyper,[status(thm)],[5,1,5]),
[iquote('hyper,5,1,5')] ).
cnf(9,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))),
inference(hyper,[status(thm)],[7,1,3]),
[iquote('hyper,7,1,3')] ).
cnf(18,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(D,C))),implies(E,implies(C,F))),implies(G,implies(E,implies(C,F))))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(19,plain,
is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))),
inference(hyper,[status(thm)],[6,1,9]),
[iquote('hyper,6,1,9')] ).
cnf(20,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(21,plain,
is_a_theorem(implies(implies(A,B),implies(B,B))),
inference(hyper,[status(thm)],[19,1,19]),
[iquote('hyper,19,1,19')] ).
cnf(24,plain,
is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))),
inference(hyper,[status(thm)],[21,1,3]),
[iquote('hyper,21,1,3')] ).
cnf(25,plain,
is_a_theorem(implies(implies(A,B),implies(A,B))),
inference(hyper,[status(thm)],[21,1,9]),
[iquote('hyper,21,1,9')] ).
cnf(27,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))),
inference(hyper,[status(thm)],[25,1,3]),
[iquote('hyper,25,1,3')] ).
cnf(30,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[24,1,4]),
[iquote('hyper,24,1,4')] ).
cnf(38,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(hyper,[status(thm)],[30,1,30]),
[iquote('hyper,30,1,30')] ).
cnf(42,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))),
inference(hyper,[status(thm)],[38,1,3]),
[iquote('hyper,38,1,3')] ).
cnf(50,plain,
is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))),
inference(hyper,[status(thm)],[27,1,3]),
[iquote('hyper,27,1,3')] ).
cnf(58,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))),
inference(hyper,[status(thm)],[18,1,3]),
[iquote('hyper,18,1,3')] ).
cnf(60,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))),
inference(hyper,[status(thm)],[20,1,3]),
[iquote('hyper,20,1,3')] ).
cnf(95,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))),
inference(hyper,[status(thm)],[50,1,3]),
[iquote('hyper,50,1,3')] ).
cnf(130,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))),
inference(hyper,[status(thm)],[58,1,58]),
[iquote('hyper,58,1,58')] ).
cnf(143,plain,
is_a_theorem(implies(A,implies(implies(implies(B,A),C),implies(D,C)))),
inference(hyper,[status(thm)],[130,1,3]),
[iquote('hyper,130,1,3')] ).
cnf(467,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))),
inference(hyper,[status(thm)],[95,1,3]),
[iquote('hyper,95,1,3')] ).
cnf(468,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))),
inference(hyper,[status(thm)],[467,1,467]),
[iquote('hyper,467,1,467')] ).
cnf(479,plain,
is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))),
inference(hyper,[status(thm)],[468,1,3]),
[iquote('hyper,468,1,3')] ).
cnf(1147,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))),
inference(hyper,[status(thm)],[479,1,42]),
[iquote('hyper,479,1,42')] ).
cnf(1150,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))),
inference(hyper,[status(thm)],[479,1,27]),
[iquote('hyper,479,1,27')] ).
cnf(1151,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(hyper,[status(thm)],[479,1,24]),
[iquote('hyper,479,1,24')] ).
cnf(1155,plain,
is_a_theorem(implies(implies(implies(A,B),A),A)),
inference(hyper,[status(thm)],[1150,1,1150]),
[iquote('hyper,1150,1,1150')] ).
cnf(1167,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))),
inference(hyper,[status(thm)],[1155,1,3]),
[iquote('hyper,1155,1,3')] ).
cnf(1178,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(hyper,[status(thm)],[1151,1,1155]),
[iquote('hyper,1151,1,1155')] ).
cnf(1204,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)),
inference(hyper,[status(thm)],[1147,1,1178]),
[iquote('hyper,1147,1,1178')] ).
cnf(1216,plain,
is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))),
inference(hyper,[status(thm)],[1204,1,3]),
[iquote('hyper,1204,1,3')] ).
cnf(1251,plain,
is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))),
inference(hyper,[status(thm)],[1167,1,1167]),
[iquote('hyper,1167,1,1167')] ).
cnf(1263,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(hyper,[status(thm)],[1251,1,1251]),
[iquote('hyper,1251,1,1251')] ).
cnf(1323,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)),
inference(hyper,[status(thm)],[1263,1,60]),
[iquote('hyper,1263,1,60')] ).
cnf(1828,plain,
is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[1216,1,1263]),
[iquote('hyper,1216,1,1263')] ).
cnf(1840,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))),
inference(hyper,[status(thm)],[1216,1,143]),
[iquote('hyper,1216,1,143')] ).
cnf(1842,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[1840,1,1840]),
[iquote('hyper,1840,1,1840')] ).
cnf(1858,plain,
is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))),
inference(hyper,[status(thm)],[1842,1,3]),
[iquote('hyper,1842,1,3')] ).
cnf(1859,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))),
inference(hyper,[status(thm)],[1858,1,1858]),
[iquote('hyper,1858,1,1858')] ).
cnf(1869,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))),
inference(hyper,[status(thm)],[1858,1,3]),
[iquote('hyper,1858,1,3')] ).
cnf(1953,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))),
inference(hyper,[status(thm)],[1828,1,3]),
[iquote('hyper,1828,1,3')] ).
cnf(1959,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))),
inference(hyper,[status(thm)],[1953,1,1323]),
[iquote('hyper,1953,1,1323')] ).
cnf(1989,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))),
inference(hyper,[status(thm)],[1953,1,1858]),
[iquote('hyper,1953,1,1858')] ).
cnf(2019,plain,
is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))),
inference(hyper,[status(thm)],[1953,1,1167]),
[iquote('hyper,1953,1,1167')] ).
cnf(2087,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))),
inference(hyper,[status(thm)],[1953,1,42]),
[iquote('hyper,1953,1,42')] ).
cnf(2920,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)),
inference(hyper,[status(thm)],[1859,1,1263]),
[iquote('hyper,1859,1,1263')] ).
cnf(2967,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)),
inference(hyper,[status(thm)],[1869,1,1263]),
[iquote('hyper,1869,1,1263')] ).
cnf(4562,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))),
inference(hyper,[status(thm)],[2087,1,2967]),
[iquote('hyper,2087,1,2967')] ).
cnf(5598,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)),
inference(hyper,[status(thm)],[4562,1,1959]),
[iquote('hyper,4562,1,1959')] ).
cnf(5678,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))),
inference(hyper,[status(thm)],[5598,1,1989]),
[iquote('hyper,5598,1,1989')] ).
cnf(5686,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))),
inference(hyper,[status(thm)],[5678,1,2920]),
[iquote('hyper,5678,1,2920')] ).
cnf(5711,plain,
is_a_theorem(implies(A,implies(implies(A,B),B))),
inference(hyper,[status(thm)],[5686,1,2019]),
[iquote('hyper,5686,1,2019')] ).
cnf(5712,plain,
$false,
inference(binary,[status(thm)],[5711,2]),
[iquote('binary,5711.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 09:22:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.20/8.36 ----- Otter 3.3f, August 2004 -----
% 8.20/8.36 The process was started by sandbox2 on n013.cluster.edu,
% 8.20/8.36 Wed Jul 27 09:22:30 2022
% 8.20/8.36 The command was "./otter". The process ID is 9851.
% 8.20/8.36
% 8.20/8.36 set(prolog_style_variables).
% 8.20/8.36 set(auto).
% 8.20/8.36 dependent: set(auto1).
% 8.20/8.36 dependent: set(process_input).
% 8.20/8.36 dependent: clear(print_kept).
% 8.20/8.36 dependent: clear(print_new_demod).
% 8.20/8.36 dependent: clear(print_back_demod).
% 8.20/8.36 dependent: clear(print_back_sub).
% 8.20/8.36 dependent: set(control_memory).
% 8.20/8.36 dependent: assign(max_mem, 12000).
% 8.20/8.36 dependent: assign(pick_given_ratio, 4).
% 8.20/8.36 dependent: assign(stats_level, 1).
% 8.20/8.36 dependent: assign(max_seconds, 10800).
% 8.20/8.36 clear(print_given).
% 8.20/8.36
% 8.20/8.36 list(usable).
% 8.20/8.36 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 8.20/8.36 0 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))).
% 8.20/8.36 0 [] -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 8.20/8.36 end_of_list.
% 8.20/8.36
% 8.20/8.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 8.20/8.36
% 8.20/8.36 This is a Horn set without equality. The strategy will
% 8.20/8.36 be hyperresolution, with satellites in sos and nuclei
% 8.20/8.36 in usable.
% 8.20/8.36
% 8.20/8.36 dependent: set(hyper_res).
% 8.20/8.36 dependent: clear(order_hyper).
% 8.20/8.36
% 8.20/8.36 ------------> process usable:
% 8.20/8.36 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 8.20/8.36 ** KEPT (pick-wt=8): 2 [] -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 8.20/8.36
% 8.20/8.36 ------------> process sos:
% 8.20/8.36 ** KEPT (pick-wt=14): 3 [] is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))).
% 8.20/8.36
% 8.20/8.36 ======= end of input processing =======
% 8.20/8.36
% 8.20/8.36 =========== start of search ===========
% 8.20/8.36
% 8.20/8.36
% 8.20/8.36 Resetting weight limit to 20.
% 8.20/8.36
% 8.20/8.36
% 8.20/8.36 Resetting weight limit to 20.
% 8.20/8.36
% 8.20/8.36 sos_size=3814
% 8.20/8.36
% 8.20/8.36 -------- PROOF --------
% 8.20/8.36
% 8.20/8.36 ----> UNIT CONFLICT at 6.26 sec ----> 5712 [binary,5711.1,2.1] $F.
% 8.20/8.36
% 8.20/8.36 Length of proof is 53. Level of proof is 28.
% 8.20/8.36
% 8.20/8.36 ---------------- PROOF ----------------
% 8.20/8.36 % SZS status Unsatisfiable
% 8.20/8.36 % SZS output start Refutation
% See solution above
% 8.20/8.36 ------------ end of proof -------------
% 8.20/8.36
% 8.20/8.36
% 8.20/8.36 Search stopped by max_proofs option.
% 8.20/8.36
% 8.20/8.36
% 8.20/8.36 Search stopped by max_proofs option.
% 8.20/8.36
% 8.20/8.36 ============ end of search ============
% 8.20/8.36
% 8.20/8.36 -------------- statistics -------------
% 8.20/8.36 clauses given 1647
% 8.20/8.36 clauses generated 2389585
% 8.20/8.36 clauses kept 5711
% 8.20/8.36 clauses forward subsumed 1985812
% 8.20/8.36 clauses back subsumed 251
% 8.20/8.36 Kbytes malloced 4882
% 8.20/8.36
% 8.20/8.36 ----------- times (seconds) -----------
% 8.20/8.36 user CPU time 6.26 (0 hr, 0 min, 6 sec)
% 8.20/8.36 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 8.20/8.36 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.20/8.36
% 8.20/8.36 That finishes the proof of the theorem.
% 8.20/8.36
% 8.20/8.36 Process 9851 finished Wed Jul 27 09:22:38 2022
% 8.20/8.36 Otter interrupted
% 8.20/8.36 PROOF FOUND
%------------------------------------------------------------------------------