TSTP Solution File: LCL040-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL040-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:03:22 EDT 2022
% Result : Unsatisfiable 2.37s 2.57s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 18 ( 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 : 45 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL040-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('LCL040-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL040-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL040-1.p',unknown),
[] ).
cnf(8,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(15,plain,
is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))),
inference(hyper,[status(thm)],[8,1,3]),
[iquote('hyper,8,1,3')] ).
cnf(19,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(20,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(110,plain,
is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))),
inference(hyper,[status(thm)],[19,1,15]),
[iquote('hyper,19,1,15')] ).
cnf(113,plain,
is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))),
inference(hyper,[status(thm)],[19,1,8]),
[iquote('hyper,19,1,8')] ).
cnf(163,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)],[20,1,19]),
[iquote('hyper,20,1,19')] ).
cnf(1945,plain,
is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))),
inference(hyper,[status(thm)],[113,1,20]),
[iquote('hyper,113,1,20')] ).
cnf(2052,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[1945,1,110]),
[iquote('hyper,1945,1,110')] ).
cnf(2058,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))),
inference(hyper,[status(thm)],[2052,1,3]),
[iquote('hyper,2052,1,3')] ).
cnf(2288,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[2058,1,163]),
[iquote('hyper,2058,1,163')] ).
cnf(2289,plain,
$false,
inference(binary,[status(thm)],[2288,2]),
[iquote('binary,2288.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL040-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:35:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.37/2.57 ----- Otter 3.3f, August 2004 -----
% 2.37/2.57 The process was started by sandbox2 on n023.cluster.edu,
% 2.37/2.57 Wed Jul 27 09:35:33 2022
% 2.37/2.57 The command was "./otter". The process ID is 28874.
% 2.37/2.57
% 2.37/2.57 set(prolog_style_variables).
% 2.37/2.57 set(auto).
% 2.37/2.57 dependent: set(auto1).
% 2.37/2.57 dependent: set(process_input).
% 2.37/2.57 dependent: clear(print_kept).
% 2.37/2.57 dependent: clear(print_new_demod).
% 2.37/2.57 dependent: clear(print_back_demod).
% 2.37/2.57 dependent: clear(print_back_sub).
% 2.37/2.57 dependent: set(control_memory).
% 2.37/2.57 dependent: assign(max_mem, 12000).
% 2.37/2.57 dependent: assign(pick_given_ratio, 4).
% 2.37/2.57 dependent: assign(stats_level, 1).
% 2.37/2.57 dependent: assign(max_seconds, 10800).
% 2.37/2.57 clear(print_given).
% 2.37/2.57
% 2.37/2.57 list(usable).
% 2.37/2.57 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 2.37/2.57 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 2.37/2.57 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))).
% 2.37/2.57 0 [] is_a_theorem(implies(not(not(X)),X)).
% 2.37/2.57 0 [] is_a_theorem(implies(X,not(not(X)))).
% 2.37/2.57 0 [] is_a_theorem(implies(implies(X,Y),implies(not(Y),not(X)))).
% 2.37/2.57 0 [] -is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))).
% 2.37/2.57 end_of_list.
% 2.37/2.57
% 2.37/2.57 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 2.37/2.57
% 2.37/2.57 This is a Horn set without equality. The strategy will
% 2.37/2.57 be hyperresolution, with satellites in sos and nuclei
% 2.37/2.57 in usable.
% 2.37/2.57
% 2.37/2.57 dependent: set(hyper_res).
% 2.37/2.57 dependent: clear(order_hyper).
% 2.37/2.57
% 2.37/2.57 ------------> process usable:
% 2.37/2.57 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 2.37/2.57 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))).
% 2.37/2.57
% 2.37/2.57 ------------> process sos:
% 2.37/2.57 ** KEPT (pick-wt=6): 3 [] is_a_theorem(implies(A,implies(B,A))).
% 2.37/2.57 ** KEPT (pick-wt=14): 4 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 2.37/2.57 ** KEPT (pick-wt=6): 5 [] is_a_theorem(implies(not(not(A)),A)).
% 2.37/2.57 ** KEPT (pick-wt=6): 6 [] is_a_theorem(implies(A,not(not(A)))).
% 2.37/2.57 ** KEPT (pick-wt=10): 7 [] is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))).
% 2.37/2.57
% 2.37/2.57 ======= end of input processing =======
% 2.37/2.57
% 2.37/2.57 =========== start of search ===========
% 2.37/2.57
% 2.37/2.57
% 2.37/2.57 Resetting weight limit to 12.
% 2.37/2.57
% 2.37/2.57
% 2.37/2.57 Resetting weight limit to 12.
% 2.37/2.57
% 2.37/2.57 sos_size=1733
% 2.37/2.57
% 2.37/2.57 -------- PROOF --------
% 2.37/2.57
% 2.37/2.57 ----> UNIT CONFLICT at 0.53 sec ----> 2289 [binary,2288.1,2.1] $F.
% 2.37/2.57
% 2.37/2.57 Length of proof is 11. Level of proof is 6.
% 2.37/2.57
% 2.37/2.57 ---------------- PROOF ----------------
% 2.37/2.57 % SZS status Unsatisfiable
% 2.37/2.57 % SZS output start Refutation
% See solution above
% 2.37/2.57 ------------ end of proof -------------
% 2.37/2.57
% 2.37/2.57
% 2.37/2.57 Search stopped by max_proofs option.
% 2.37/2.57
% 2.37/2.57
% 2.37/2.57 Search stopped by max_proofs option.
% 2.37/2.57
% 2.37/2.57 ============ end of search ============
% 2.37/2.57
% 2.37/2.57 -------------- statistics -------------
% 2.37/2.57 clauses given 720
% 2.37/2.57 clauses generated 202393
% 2.37/2.57 clauses kept 2288
% 2.37/2.57 clauses forward subsumed 128493
% 2.37/2.57 clauses back subsumed 100
% 2.37/2.57 Kbytes malloced 5859
% 2.37/2.57
% 2.37/2.57 ----------- times (seconds) -----------
% 2.37/2.57 user CPU time 0.53 (0 hr, 0 min, 0 sec)
% 2.37/2.57 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.37/2.57 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.37/2.57
% 2.37/2.57 That finishes the proof of the theorem.
% 2.37/2.57
% 2.37/2.57 Process 28874 finished Wed Jul 27 09:35:35 2022
% 2.37/2.57 Otter interrupted
% 2.37/2.57 PROOF FOUND
%------------------------------------------------------------------------------