TSTP Solution File: LCL064-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 1.79s 2.00s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL064-2.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('LCL064-2.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL064-2.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL064-2.p',unknown),
[] ).
cnf(5,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(6,plain,
is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(9,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(10,plain,
is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(27,plain,
is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))),
inference(hyper,[status(thm)],[9,1,6]),
[iquote('hyper,9,1,6')] ).
cnf(28,plain,
is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))),
inference(hyper,[status(thm)],[9,1,5]),
[iquote('hyper,9,1,5')] ).
cnf(50,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))),
inference(hyper,[status(thm)],[10,1,9]),
[iquote('hyper,10,1,9')] ).
cnf(128,plain,
is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))),
inference(hyper,[status(thm)],[28,1,10]),
[iquote('hyper,28,1,10')] ).
cnf(384,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[128,1,27]),
[iquote('hyper,128,1,27')] ).
cnf(435,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))),
inference(hyper,[status(thm)],[384,1,3]),
[iquote('hyper,384,1,3')] ).
cnf(1918,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[50,1,435]),
[iquote('hyper,50,1,435')] ).
cnf(1954,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(hyper,[status(thm)],[1918,1,128]),
[iquote('hyper,1918,1,128')] ).
cnf(1955,plain,
$false,
inference(binary,[status(thm)],[1954,2]),
[iquote('binary,1954.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n019.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 09:24:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.79/2.00 ----- Otter 3.3f, August 2004 -----
% 1.79/2.00 The process was started by sandbox on n019.cluster.edu,
% 1.79/2.00 Wed Jul 27 09:24:52 2022
% 1.79/2.00 The command was "./otter". The process ID is 16590.
% 1.79/2.00
% 1.79/2.00 set(prolog_style_variables).
% 1.79/2.00 set(auto).
% 1.79/2.00 dependent: set(auto1).
% 1.79/2.00 dependent: set(process_input).
% 1.79/2.00 dependent: clear(print_kept).
% 1.79/2.00 dependent: clear(print_new_demod).
% 1.79/2.00 dependent: clear(print_back_demod).
% 1.79/2.00 dependent: clear(print_back_sub).
% 1.79/2.00 dependent: set(control_memory).
% 1.79/2.00 dependent: assign(max_mem, 12000).
% 1.79/2.00 dependent: assign(pick_given_ratio, 4).
% 1.79/2.00 dependent: assign(stats_level, 1).
% 1.79/2.00 dependent: assign(max_seconds, 10800).
% 1.79/2.00 clear(print_given).
% 1.79/2.00
% 1.79/2.00 list(usable).
% 1.79/2.00 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.79/2.00 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 1.79/2.00 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))).
% 1.79/2.00 0 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 1.79/2.00 end_of_list.
% 1.79/2.00
% 1.79/2.00 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.79/2.00
% 1.79/2.00 This is a Horn set without equality. The strategy will
% 1.79/2.00 be hyperresolution, with satellites in sos and nuclei
% 1.79/2.00 in usable.
% 1.79/2.00
% 1.79/2.00 dependent: set(hyper_res).
% 1.79/2.00 dependent: clear(order_hyper).
% 1.79/2.00
% 1.79/2.00 ------------> process usable:
% 1.79/2.00 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.79/2.00 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 1.79/2.00
% 1.79/2.00 ------------> process sos:
% 1.79/2.00 ** KEPT (pick-wt=6): 3 [] is_a_theorem(implies(A,implies(B,A))).
% 1.79/2.00 ** KEPT (pick-wt=14): 4 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.79/2.00
% 1.79/2.00 ======= end of input processing =======
% 1.79/2.00
% 1.79/2.00 =========== start of search ===========
% 1.79/2.00
% 1.79/2.00 -------- PROOF --------
% 1.79/2.00
% 1.79/2.00 ----> UNIT CONFLICT at 0.09 sec ----> 1955 [binary,1954.1,2.1] $F.
% 1.79/2.00
% 1.79/2.00 Length of proof is 12. Level of proof is 7.
% 1.79/2.00
% 1.79/2.00 ---------------- PROOF ----------------
% 1.79/2.00 % SZS status Unsatisfiable
% 1.79/2.00 % SZS output start Refutation
% See solution above
% 1.79/2.00 ------------ end of proof -------------
% 1.79/2.00
% 1.79/2.00
% 1.79/2.00 Search stopped by max_proofs option.
% 1.79/2.00
% 1.79/2.00
% 1.79/2.00 Search stopped by max_proofs option.
% 1.79/2.00
% 1.79/2.00 ============ end of search ============
% 1.79/2.00
% 1.79/2.00 -------------- statistics -------------
% 1.79/2.00 clauses given 102
% 1.79/2.00 clauses generated 9448
% 1.79/2.00 clauses kept 1954
% 1.79/2.00 clauses forward subsumed 7498
% 1.79/2.00 clauses back subsumed 5
% 1.79/2.00 Kbytes malloced 1953
% 1.79/2.00
% 1.79/2.00 ----------- times (seconds) -----------
% 1.79/2.00 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.79/2.00 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.79/2.00 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.79/2.00
% 1.79/2.00 That finishes the proof of the theorem.
% 1.79/2.00
% 1.79/2.00 Process 16590 finished Wed Jul 27 09:24:53 2022
% 1.79/2.00 Otter interrupted
% 1.79/2.00 PROOF FOUND
%------------------------------------------------------------------------------