TSTP Solution File: LCL125-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL125-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:03:38 EDT 2022
% Result : Unsatisfiable 36.00s 36.16s
% Output : Refutation 36.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of clauses : 42 ( 41 unt; 0 nHn; 3 RR)
% Number of literals : 44 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 158 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(e_quivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL125-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(e_quivalent(a,e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(b,e),e_quivalent(c,e)))))),
file('LCL125-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(A,C))),
file('LCL125-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)))),
file('LCL125-1.p',unknown),
[] ).
cnf(5,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B))),e_quivalent(D,E)),e_quivalent(E,D))),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(6,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(A,C)),e_quivalent(D,E)),e_quivalent(E,D))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(9,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)),A)),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(11,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)),A),e_quivalent(D,E)),e_quivalent(E,D))),
inference(hyper,[status(thm)],[9,1,4]),
[iquote('hyper,9,1,4')] ).
cnf(12,plain,
is_a_theorem(e_quivalent(A,A)),
inference(hyper,[status(thm)],[9,1,3]),
[iquote('hyper,9,1,3')] ).
cnf(15,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(A,C),e_quivalent(B,C)))),
inference(hyper,[status(thm)],[6,1,12]),
[iquote('hyper,6,1,12')] ).
cnf(19,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(e_quivalent(e_quivalent(A,D),e_quivalent(B,D)),C))),
inference(hyper,[status(thm)],[15,1,15]),
[iquote('hyper,15,1,15')] ).
cnf(20,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)),D),e_quivalent(A,D))),
inference(hyper,[status(thm)],[15,1,5]),
[iquote('hyper,15,1,5')] ).
cnf(26,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),D),e_quivalent(e_quivalent(A,C),D))),
inference(hyper,[status(thm)],[15,1,3]),
[iquote('hyper,15,1,3')] ).
cnf(65,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(e_quivalent(A,D),e_quivalent(C,D)))),
inference(hyper,[status(thm)],[19,1,15]),
[iquote('hyper,19,1,15')] ).
cnf(67,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),D),e_quivalent(e_quivalent(C,B),D)),A)),
inference(hyper,[status(thm)],[19,1,9]),
[iquote('hyper,19,1,9')] ).
cnf(138,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(e_quivalent(A,D),e_quivalent(C,e_quivalent(D,B))))),
inference(hyper,[status(thm)],[26,1,26]),
[iquote('hyper,26,1,26')] ).
cnf(148,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(e_quivalent(A,C),e_quivalent(D,C)),e_quivalent(B,D)))),
inference(hyper,[status(thm)],[26,1,19]),
[iquote('hyper,26,1,19')] ).
cnf(442,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(e_quivalent(D,B),C)),e_quivalent(e_quivalent(A,E),e_quivalent(D,E)))),
inference(hyper,[status(thm)],[65,1,19]),
[iquote('hyper,65,1,19')] ).
cnf(480,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),D)),e_quivalent(C,B)),D),E),e_quivalent(A,E))),
inference(hyper,[status(thm)],[67,1,65]),
[iquote('hyper,67,1,65')] ).
cnf(491,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),D)),e_quivalent(C,B)),D),A)),
inference(hyper,[status(thm)],[67,1,3]),
[iquote('hyper,67,1,3')] ).
cnf(905,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(A,C),e_quivalent(e_quivalent(B,D),e_quivalent(C,D))))),
inference(hyper,[status(thm)],[138,1,26]),
[iquote('hyper,138,1,26')] ).
cnf(911,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(C,D),e_quivalent(B,e_quivalent(D,C)))))),
inference(hyper,[status(thm)],[138,1,20]),
[iquote('hyper,138,1,20')] ).
cnf(912,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(D,C)),e_quivalent(e_quivalent(A,E),e_quivalent(D,e_quivalent(E,B))))),
inference(hyper,[status(thm)],[138,1,19]),
[iquote('hyper,138,1,19')] ).
cnf(918,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(C,D))),e_quivalent(e_quivalent(A,e_quivalent(D,C)),B))),
inference(hyper,[status(thm)],[138,1,11]),
[iquote('hyper,138,1,11')] ).
cnf(929,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),D),E),e_quivalent(A,e_quivalent(E,e_quivalent(e_quivalent(C,B),D))))),
inference(hyper,[status(thm)],[138,1,67]),
[iquote('hyper,138,1,67')] ).
cnf(1095,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,D),e_quivalent(E,D)),e_quivalent(B,E)),C))),
inference(hyper,[status(thm)],[148,1,15]),
[iquote('hyper,148,1,15')] ).
cnf(1916,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),D)),e_quivalent(C,B)),E),e_quivalent(A,e_quivalent(E,D)))),
inference(hyper,[status(thm)],[491,1,138]),
[iquote('hyper,491,1,138')] ).
cnf(2873,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(C,D)),e_quivalent(D,C))),e_quivalent(A,B))),
inference(hyper,[status(thm)],[918,1,911]),
[iquote('hyper,918,1,911')] ).
cnf(2875,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(C,D),e_quivalent(B,D))),e_quivalent(A,C))),
inference(hyper,[status(thm)],[918,1,905]),
[iquote('hyper,918,1,905')] ).
cnf(5675,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(C,D)),E)),e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(D,C),E)),B))),
inference(hyper,[status(thm)],[1916,1,1916]),
[iquote('hyper,1916,1,1916')] ).
cnf(5679,plain,
is_a_theorem(e_quivalent(A,e_quivalent(A,e_quivalent(B,B)))),
inference(hyper,[status(thm)],[1916,1,480]),
[iquote('hyper,1916,1,480')] ).
cnf(5691,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,B)),A)),
inference(hyper,[status(thm)],[5679,1,2873]),
[iquote('hyper,5679,1,2873')] ).
cnf(5862,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(C,C),B)),A)),
inference(hyper,[status(thm)],[5691,1,2875]),
[iquote('hyper,5691,1,2875')] ).
cnf(5885,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(e_quivalent(D,D),C)),A)),
inference(hyper,[status(thm)],[5691,1,1095]),
[iquote('hyper,5691,1,1095')] ).
cnf(6252,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,B),C)),D),e_quivalent(A,e_quivalent(D,C)))),
inference(hyper,[status(thm)],[5862,1,912]),
[iquote('hyper,5862,1,912')] ).
cnf(7321,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(e_quivalent(D,D),B)),C),E),e_quivalent(A,E))),
inference(hyper,[status(thm)],[5885,1,442]),
[iquote('hyper,5885,1,442')] ).
cnf(8113,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,B),C)),D),e_quivalent(e_quivalent(A,e_quivalent(E,C)),e_quivalent(D,E)))),
inference(hyper,[status(thm)],[6252,1,138]),
[iquote('hyper,6252,1,138')] ).
cnf(11554,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(D,B)),e_quivalent(C,D)))),
inference(hyper,[status(thm)],[8113,1,7321]),
[iquote('hyper,8113,1,7321')] ).
cnf(11578,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(D,C))),e_quivalent(A,e_quivalent(B,D)))),
inference(hyper,[status(thm)],[11554,1,5675]),
[iquote('hyper,11554,1,5675')] ).
cnf(11643,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(e_quivalent(C,D),e_quivalent(B,D))),A)),
inference(hyper,[status(thm)],[11578,1,2873]),
[iquote('hyper,11578,1,2873')] ).
cnf(11720,plain,
is_a_theorem(e_quivalent(A,e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(B,D),e_quivalent(C,D)))))),
inference(hyper,[status(thm)],[11643,1,929]),
[iquote('hyper,11643,1,929')] ).
cnf(11721,plain,
$false,
inference(binary,[status(thm)],[11720,2]),
[iquote('binary,11720.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL125-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n020.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 09:28:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 36.00/36.16 ----- Otter 3.3f, August 2004 -----
% 36.00/36.16 The process was started by sandbox2 on n020.cluster.edu,
% 36.00/36.16 Wed Jul 27 09:28:53 2022
% 36.00/36.16 The command was "./otter". The process ID is 914.
% 36.00/36.16
% 36.00/36.16 set(prolog_style_variables).
% 36.00/36.16 set(auto).
% 36.00/36.16 dependent: set(auto1).
% 36.00/36.16 dependent: set(process_input).
% 36.00/36.16 dependent: clear(print_kept).
% 36.00/36.16 dependent: clear(print_new_demod).
% 36.00/36.16 dependent: clear(print_back_demod).
% 36.00/36.16 dependent: clear(print_back_sub).
% 36.00/36.16 dependent: set(control_memory).
% 36.00/36.16 dependent: assign(max_mem, 12000).
% 36.00/36.16 dependent: assign(pick_given_ratio, 4).
% 36.00/36.16 dependent: assign(stats_level, 1).
% 36.00/36.16 dependent: assign(max_seconds, 10800).
% 36.00/36.16 clear(print_given).
% 36.00/36.16
% 36.00/36.16 list(usable).
% 36.00/36.16 0 [] -is_a_theorem(e_quivalent(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 36.00/36.16 0 [] is_a_theorem(e_quivalent(e_quivalent(e_quivalent(X,Y),e_quivalent(Z,Y)),e_quivalent(X,Z))).
% 36.00/36.16 0 [] is_a_theorem(e_quivalent(X,e_quivalent(e_quivalent(X,e_quivalent(Y,Z)),e_quivalent(Z,Y)))).
% 36.00/36.16 0 [] -is_a_theorem(e_quivalent(a,e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(b,e),e_quivalent(c,e)))))).
% 36.00/36.16 end_of_list.
% 36.00/36.16
% 36.00/36.16 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 36.00/36.16
% 36.00/36.16 This is a Horn set without equality. The strategy will
% 36.00/36.16 be hyperresolution, with satellites in sos and nuclei
% 36.00/36.16 in usable.
% 36.00/36.16
% 36.00/36.16 dependent: set(hyper_res).
% 36.00/36.16 dependent: clear(order_hyper).
% 36.00/36.16
% 36.00/36.16 ------------> process usable:
% 36.00/36.16 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(e_quivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 36.00/36.16 ** KEPT (pick-wt=16): 2 [] -is_a_theorem(e_quivalent(a,e_quivalent(a,e_quivalent(e_quivalent(b,c),e_quivalent(e_quivalent(b,e),e_quivalent(c,e)))))).
% 36.00/36.16
% 36.00/36.16 ------------> process sos:
% 36.00/36.16 ** KEPT (pick-wt=12): 3 [] is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(A,C))).
% 36.00/36.16 ** KEPT (pick-wt=12): 4 [] is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)))).
% 36.00/36.16
% 36.00/36.16 ======= end of input processing =======
% 36.00/36.16
% 36.00/36.16 =========== start of search ===========
% 36.00/36.16
% 36.00/36.16
% 36.00/36.16 Resetting weight limit to 20.
% 36.00/36.16
% 36.00/36.16
% 36.00/36.16 Resetting weight limit to 20.
% 36.00/36.16
% 36.00/36.16 sos_size=5267
% 36.00/36.16
% 36.00/36.16 -- HEY sandbox2, WE HAVE A PROOF!! --
% 36.00/36.16
% 36.00/36.16 ----> UNIT CONFLICT at 34.04 sec ----> 11721 [binary,11720.1,2.1] $F.
% 36.00/36.16
% 36.00/36.16 Length of proof is 37. Level of proof is 17.
% 36.00/36.16
% 36.00/36.16 ---------------- PROOF ----------------
% 36.00/36.16 % SZS status Unsatisfiable
% 36.00/36.16 % SZS output start Refutation
% See solution above
% 36.00/36.16 ------------ end of proof -------------
% 36.00/36.16
% 36.00/36.16
% 36.00/36.16 Search stopped by max_proofs option.
% 36.00/36.16
% 36.00/36.16
% 36.00/36.16 Search stopped by max_proofs option.
% 36.00/36.16
% 36.00/36.16 ============ end of search ============
% 36.00/36.16
% 36.00/36.16 -------------- statistics -------------
% 36.00/36.16 clauses given 4149
% 36.00/36.16 clauses generated 9631134
% 36.00/36.16 clauses kept 11720
% 36.00/36.16 clauses forward subsumed 3057139
% 36.00/36.16 clauses back subsumed 744
% 36.00/36.16 Kbytes malloced 7812
% 36.00/36.16
% 36.00/36.16 ----------- times (seconds) -----------
% 36.00/36.16 user CPU time 34.04 (0 hr, 0 min, 34 sec)
% 36.00/36.16 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 36.00/36.16 wall-clock time 36 (0 hr, 0 min, 36 sec)
% 36.00/36.16
% 36.00/36.16 That finishes the proof of the theorem.
% 36.00/36.16
% 36.00/36.16 Process 914 finished Wed Jul 27 09:29:29 2022
% 36.00/36.16 Otter interrupted
% 36.00/36.16 PROOF FOUND
%------------------------------------------------------------------------------