TSTP Solution File: LCL123-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL123-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 13:03:38 EDT 2022
% Result : Unsatisfiable 5.21s 5.40s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 26 ( 25 unt; 0 nHn; 3 RR)
% Number of literals : 28 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(e_quivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL123-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(e_quivalent(e_quivalent(e_quivalent(a,e_quivalent(b,c)),e_quivalent(e,e_quivalent(b,f))),e_quivalent(a,e_quivalent(e,e_quivalent(c,f))))),
file('LCL123-1.p',unknown),
[] ).
cnf(3,axiom,
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)))))),
file('LCL123-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(e_quivalent(B,D),e_quivalent(C,D))))),e_quivalent(e_quivalent(E,F),e_quivalent(e_quivalent(E,G),e_quivalent(F,G))))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(6,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(A,C),e_quivalent(B,C)))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(7,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)],[6,1,6]),
[iquote('hyper,6,1,6')] ).
cnf(14,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)],[7,1,6]),
[iquote('hyper,7,1,6')] ).
cnf(17,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(e_quivalent(A,B),C))),
inference(hyper,[status(thm)],[14,1,14]),
[iquote('hyper,14,1,14')] ).
cnf(21,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),e_quivalent(D,C))),E),e_quivalent(e_quivalent(A,e_quivalent(B,D)),E))),
inference(hyper,[status(thm)],[14,1,4]),
[iquote('hyper,14,1,4')] ).
cnf(25,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(D,C)),e_quivalent(e_quivalent(A,B),D))),
inference(hyper,[status(thm)],[17,1,7]),
[iquote('hyper,17,1,7')] ).
cnf(30,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(A,B))),
inference(hyper,[status(thm)],[25,1,17]),
[iquote('hyper,25,1,17')] ).
cnf(31,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)],[25,1,4]),
[iquote('hyper,25,1,4')] ).
cnf(32,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(A,C))),
inference(hyper,[status(thm)],[30,1,7]),
[iquote('hyper,30,1,7')] ).
cnf(35,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)],[32,1,6]),
[iquote('hyper,32,1,6')] ).
cnf(37,plain,
is_a_theorem(e_quivalent(A,A)),
inference(hyper,[status(thm)],[32,1,30]),
[iquote('hyper,32,1,30')] ).
cnf(49,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,B)),e_quivalent(D,C)),e_quivalent(A,D))),
inference(hyper,[status(thm)],[35,1,31]),
[iquote('hyper,35,1,31')] ).
cnf(53,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(e_quivalent(A,e_quivalent(D,C)),e_quivalent(B,D)))),
inference(hyper,[status(thm)],[35,1,31]),
[iquote('hyper,35,1,31')] ).
cnf(121,plain,
is_a_theorem(e_quivalent(A,e_quivalent(A,e_quivalent(B,B)))),
inference(hyper,[status(thm)],[49,1,31]),
[iquote('hyper,49,1,31')] ).
cnf(127,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(A,e_quivalent(C,C)),B))),
inference(hyper,[status(thm)],[121,1,14]),
[iquote('hyper,121,1,14')] ).
cnf(216,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,B)),A)),
inference(hyper,[status(thm)],[127,1,37]),
[iquote('hyper,127,1,37')] ).
cnf(237,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,B)),C),e_quivalent(A,C))),
inference(hyper,[status(thm)],[216,1,14]),
[iquote('hyper,216,1,14')] ).
cnf(827,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)))),
inference(hyper,[status(thm)],[53,1,237]),
[iquote('hyper,53,1,237')] ).
cnf(885,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)],[827,1,53]),
[iquote('hyper,827,1,53')] ).
cnf(1375,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(e_quivalent(A,e_quivalent(D,e_quivalent(C,E))),e_quivalent(e_quivalent(B,E),D)))),
inference(hyper,[status(thm)],[21,1,53]),
[iquote('hyper,21,1,53')] ).
cnf(10729,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(D,e_quivalent(B,E))),e_quivalent(A,e_quivalent(D,e_quivalent(C,E))))),
inference(hyper,[status(thm)],[1375,1,885]),
[iquote('hyper,1375,1,885')] ).
cnf(10730,plain,
$false,
inference(binary,[status(thm)],[10729,2]),
[iquote('binary,10729.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL123-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 09:16:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.21/5.40 ----- Otter 3.3f, August 2004 -----
% 5.21/5.40 The process was started by sandbox on n018.cluster.edu,
% 5.21/5.40 Wed Jul 27 09:16:01 2022
% 5.21/5.40 The command was "./otter". The process ID is 29142.
% 5.21/5.40
% 5.21/5.40 set(prolog_style_variables).
% 5.21/5.40 set(auto).
% 5.21/5.40 dependent: set(auto1).
% 5.21/5.40 dependent: set(process_input).
% 5.21/5.40 dependent: clear(print_kept).
% 5.21/5.40 dependent: clear(print_new_demod).
% 5.21/5.40 dependent: clear(print_back_demod).
% 5.21/5.40 dependent: clear(print_back_sub).
% 5.21/5.40 dependent: set(control_memory).
% 5.21/5.40 dependent: assign(max_mem, 12000).
% 5.21/5.40 dependent: assign(pick_given_ratio, 4).
% 5.21/5.40 dependent: assign(stats_level, 1).
% 5.21/5.40 dependent: assign(max_seconds, 10800).
% 5.21/5.40 clear(print_given).
% 5.21/5.40
% 5.21/5.40 list(usable).
% 5.21/5.40 0 [] -is_a_theorem(e_quivalent(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 5.21/5.40 0 [] is_a_theorem(e_quivalent(X,e_quivalent(X,e_quivalent(e_quivalent(Y,Z),e_quivalent(e_quivalent(Y,U),e_quivalent(Z,U)))))).
% 5.21/5.40 0 [] -is_a_theorem(e_quivalent(e_quivalent(e_quivalent(a,e_quivalent(b,c)),e_quivalent(e,e_quivalent(b,f))),e_quivalent(a,e_quivalent(e,e_quivalent(c,f))))).
% 5.21/5.40 end_of_list.
% 5.21/5.40
% 5.21/5.40 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 5.21/5.40
% 5.21/5.40 This is a Horn set without equality. The strategy will
% 5.21/5.40 be hyperresolution, with satellites in sos and nuclei
% 5.21/5.40 in usable.
% 5.21/5.40
% 5.21/5.40 dependent: set(hyper_res).
% 5.21/5.40 dependent: clear(order_hyper).
% 5.21/5.40
% 5.21/5.40 ------------> process usable:
% 5.21/5.40 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(e_quivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 5.21/5.40 ** KEPT (pick-wt=20): 2 [] -is_a_theorem(e_quivalent(e_quivalent(e_quivalent(a,e_quivalent(b,c)),e_quivalent(e,e_quivalent(b,f))),e_quivalent(a,e_quivalent(e,e_quivalent(c,f))))).
% 5.21/5.40
% 5.21/5.40 ------------> process sos:
% 5.21/5.40 ** KEPT (pick-wt=16): 3 [] 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)))))).
% 5.21/5.40
% 5.21/5.40 ======= end of input processing =======
% 5.21/5.40
% 5.21/5.40 =========== start of search ===========
% 5.21/5.40
% 5.21/5.40
% 5.21/5.40 Resetting weight limit to 20.
% 5.21/5.40
% 5.21/5.40
% 5.21/5.40 Resetting weight limit to 20.
% 5.21/5.40
% 5.21/5.40 sos_size=5849
% 5.21/5.40
% 5.21/5.40 -------- PROOF --------
% 5.21/5.40
% 5.21/5.40 ----> UNIT CONFLICT at 3.49 sec ----> 10730 [binary,10729.1,2.1] $F.
% 5.21/5.40
% 5.21/5.40 Length of proof is 22. Level of proof is 17.
% 5.21/5.40
% 5.21/5.40 ---------------- PROOF ----------------
% 5.21/5.40 % SZS status Unsatisfiable
% 5.21/5.40 % SZS output start Refutation
% See solution above
% 5.21/5.40 ------------ end of proof -------------
% 5.21/5.40
% 5.21/5.40
% 5.21/5.40 Search stopped by max_proofs option.
% 5.21/5.40
% 5.21/5.40
% 5.21/5.40 Search stopped by max_proofs option.
% 5.21/5.40
% 5.21/5.40 ============ end of search ============
% 5.21/5.40
% 5.21/5.40 -------------- statistics -------------
% 5.21/5.40 clauses given 1127
% 5.21/5.40 clauses generated 748126
% 5.21/5.40 clauses kept 10729
% 5.21/5.40 clauses forward subsumed 344603
% 5.21/5.40 clauses back subsumed 10
% 5.21/5.40 Kbytes malloced 6835
% 5.21/5.40
% 5.21/5.40 ----------- times (seconds) -----------
% 5.21/5.40 user CPU time 3.49 (0 hr, 0 min, 3 sec)
% 5.21/5.40 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 5.21/5.40 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.21/5.40
% 5.21/5.40 That finishes the proof of the theorem.
% 5.21/5.40
% 5.21/5.40 Process 29142 finished Wed Jul 27 09:16:06 2022
% 5.21/5.40 Otter interrupted
% 5.21/5.40 PROOF FOUND
%------------------------------------------------------------------------------