TSTP Solution File: LCL065-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 1.76s 1.93s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 24 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 46 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL065-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('LCL065-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL065-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL065-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
file('LCL065-1.p',unknown),
[] ).
cnf(6,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(8,plain,
is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(11,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(13,plain,
is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))),
inference(hyper,[status(thm)],[4,1,8]),
[iquote('hyper,4,1,8')] ).
cnf(16,plain,
is_a_theorem(implies(implies(A,B),implies(A,A))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(19,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[16,1,8]),
[iquote('hyper,16,1,8')] ).
cnf(20,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))),
inference(hyper,[status(thm)],[19,1,4]),
[iquote('hyper,19,1,4')] ).
cnf(21,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(hyper,[status(thm)],[19,1,3]),
[iquote('hyper,19,1,3')] ).
cnf(22,plain,
is_a_theorem(implies(A,implies(B,implies(C,C)))),
inference(hyper,[status(thm)],[21,1,3]),
[iquote('hyper,21,1,3')] ).
cnf(60,plain,
is_a_theorem(implies(implies(implies(A,implies(B,B)),C),C)),
inference(hyper,[status(thm)],[20,1,22]),
[iquote('hyper,20,1,22')] ).
cnf(66,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)),
inference(hyper,[status(thm)],[20,1,6]),
[iquote('hyper,20,1,6')] ).
cnf(77,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(hyper,[status(thm)],[11,1,60]),
[iquote('hyper,11,1,60')] ).
cnf(137,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(hyper,[status(thm)],[13,1,66]),
[iquote('hyper,13,1,66')] ).
cnf(155,plain,
is_a_theorem(implies(implies(not(A),A),implies(not(A),B))),
inference(hyper,[status(thm)],[137,1,4]),
[iquote('hyper,137,1,4')] ).
cnf(638,plain,
is_a_theorem(implies(implies(not(A),A),implies(B,A))),
inference(hyper,[status(thm)],[155,1,13]),
[iquote('hyper,155,1,13')] ).
cnf(653,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(hyper,[status(thm)],[638,1,77]),
[iquote('hyper,638,1,77')] ).
cnf(654,plain,
$false,
inference(binary,[status(thm)],[653,2]),
[iquote('binary,653.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 09:07:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.76/1.93 ----- Otter 3.3f, August 2004 -----
% 1.76/1.93 The process was started by sandbox on n007.cluster.edu,
% 1.76/1.93 Wed Jul 27 09:07:46 2022
% 1.76/1.93 The command was "./otter". The process ID is 21741.
% 1.76/1.93
% 1.76/1.93 set(prolog_style_variables).
% 1.76/1.93 set(auto).
% 1.76/1.93 dependent: set(auto1).
% 1.76/1.93 dependent: set(process_input).
% 1.76/1.93 dependent: clear(print_kept).
% 1.76/1.93 dependent: clear(print_new_demod).
% 1.76/1.93 dependent: clear(print_back_demod).
% 1.76/1.93 dependent: clear(print_back_sub).
% 1.76/1.93 dependent: set(control_memory).
% 1.76/1.93 dependent: assign(max_mem, 12000).
% 1.76/1.93 dependent: assign(pick_given_ratio, 4).
% 1.76/1.93 dependent: assign(stats_level, 1).
% 1.76/1.93 dependent: assign(max_seconds, 10800).
% 1.76/1.93 clear(print_given).
% 1.76/1.93
% 1.76/1.93 list(usable).
% 1.76/1.93 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.76/1.93 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 1.76/1.93 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))).
% 1.76/1.93 0 [] is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))).
% 1.76/1.93 0 [] -is_a_theorem(implies(implies(not(a),a),a)).
% 1.76/1.93 end_of_list.
% 1.76/1.93
% 1.76/1.93 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.76/1.93
% 1.76/1.93 This is a Horn set without equality. The strategy will
% 1.76/1.93 be hyperresolution, with satellites in sos and nuclei
% 1.76/1.93 in usable.
% 1.76/1.93
% 1.76/1.93 dependent: set(hyper_res).
% 1.76/1.93 dependent: clear(order_hyper).
% 1.76/1.93
% 1.76/1.93 ------------> process usable:
% 1.76/1.93 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.76/1.93 ** KEPT (pick-wt=7): 2 [] -is_a_theorem(implies(implies(not(a),a),a)).
% 1.76/1.93
% 1.76/1.93 ------------> process sos:
% 1.76/1.93 ** KEPT (pick-wt=6): 3 [] is_a_theorem(implies(A,implies(B,A))).
% 1.76/1.93 ** KEPT (pick-wt=14): 4 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.76/1.93 ** KEPT (pick-wt=10): 5 [] is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 1.76/1.93
% 1.76/1.93 ======= end of input processing =======
% 1.76/1.93
% 1.76/1.93 =========== start of search ===========
% 1.76/1.93
% 1.76/1.93 -------- PROOF --------
% 1.76/1.93
% 1.76/1.93 ----> UNIT CONFLICT at 0.02 sec ----> 654 [binary,653.1,2.1] $F.
% 1.76/1.93
% 1.76/1.93 Length of proof is 16. Level of proof is 8.
% 1.76/1.93
% 1.76/1.93 ---------------- PROOF ----------------
% 1.76/1.93 % SZS status Unsatisfiable
% 1.76/1.93 % SZS output start Refutation
% See solution above
% 1.76/1.93 ------------ end of proof -------------
% 1.76/1.93
% 1.76/1.93
% 1.76/1.93 Search stopped by max_proofs option.
% 1.76/1.93
% 1.76/1.93
% 1.76/1.93 Search stopped by max_proofs option.
% 1.76/1.93
% 1.76/1.93 ============ end of search ============
% 1.76/1.93
% 1.76/1.93 -------------- statistics -------------
% 1.76/1.93 clauses given 72
% 1.76/1.93 clauses generated 2992
% 1.76/1.93 clauses kept 653
% 1.76/1.93 clauses forward subsumed 2344
% 1.76/1.93 clauses back subsumed 6
% 1.76/1.93 Kbytes malloced 2929
% 1.76/1.93
% 1.76/1.93 ----------- times (seconds) -----------
% 1.76/1.93 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.76/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.76/1.93
% 1.76/1.93 That finishes the proof of the theorem.
% 1.76/1.93
% 1.76/1.93 Process 21741 finished Wed Jul 27 09:07:47 2022
% 1.76/1.94 Otter interrupted
% 1.76/1.94 PROOF FOUND
%------------------------------------------------------------------------------