TSTP Solution File: LCL398-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:04:21 EDT 2022
% Result : Unsatisfiable 1.67s 1.89s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL398-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(not(implies(x,x)),y)),
file('LCL398-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('LCL398-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(not(A),A),A)),
file('LCL398-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(A,implies(not(A),B))),
file('LCL398-1.p',unknown),
[] ).
cnf(9,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(40,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[9,1,4]),
[iquote('hyper,9,1,4')] ).
cnf(42,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(hyper,[status(thm)],[40,1,5]),
[iquote('hyper,40,1,5')] ).
cnf(43,plain,
$false,
inference(binary,[status(thm)],[42,2]),
[iquote('binary,42.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:37:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.89 ----- Otter 3.3f, August 2004 -----
% 1.67/1.89 The process was started by sandbox2 on n016.cluster.edu,
% 1.67/1.89 Wed Jul 27 09:37:07 2022
% 1.67/1.89 The command was "./otter". The process ID is 13216.
% 1.67/1.89
% 1.67/1.89 set(prolog_style_variables).
% 1.67/1.89 set(auto).
% 1.67/1.89 dependent: set(auto1).
% 1.67/1.89 dependent: set(process_input).
% 1.67/1.89 dependent: clear(print_kept).
% 1.67/1.89 dependent: clear(print_new_demod).
% 1.67/1.89 dependent: clear(print_back_demod).
% 1.67/1.89 dependent: clear(print_back_sub).
% 1.67/1.89 dependent: set(control_memory).
% 1.67/1.89 dependent: assign(max_mem, 12000).
% 1.67/1.89 dependent: assign(pick_given_ratio, 4).
% 1.67/1.89 dependent: assign(stats_level, 1).
% 1.67/1.89 dependent: assign(max_seconds, 10800).
% 1.67/1.89 clear(print_given).
% 1.67/1.89
% 1.67/1.89 list(usable).
% 1.67/1.89 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.67/1.89 0 [] is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 1.67/1.89 0 [] is_a_theorem(implies(implies(not(X),X),X)).
% 1.67/1.89 0 [] is_a_theorem(implies(X,implies(not(X),Y))).
% 1.67/1.89 0 [] -is_a_theorem(implies(not(implies(x,x)),y)).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.67/1.89
% 1.67/1.89 This is a Horn set without equality. The strategy will
% 1.67/1.89 be hyperresolution, with satellites in sos and nuclei
% 1.67/1.89 in usable.
% 1.67/1.89
% 1.67/1.89 dependent: set(hyper_res).
% 1.67/1.89 dependent: clear(order_hyper).
% 1.67/1.89
% 1.67/1.89 ------------> process usable:
% 1.67/1.89 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.67/1.89 ** KEPT (pick-wt=7): 2 [] -is_a_theorem(implies(not(implies(x,x)),y)).
% 1.67/1.89
% 1.67/1.89 ------------> process sos:
% 1.67/1.89 ** KEPT (pick-wt=12): 3 [] is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 1.67/1.89 ** KEPT (pick-wt=7): 4 [] is_a_theorem(implies(implies(not(A),A),A)).
% 1.67/1.89 ** KEPT (pick-wt=7): 5 [] is_a_theorem(implies(A,implies(not(A),B))).
% 1.67/1.89
% 1.67/1.89 ======= end of input processing =======
% 1.67/1.89
% 1.67/1.89 =========== start of search ===========
% 1.67/1.89
% 1.67/1.89 -------- PROOF --------
% 1.67/1.89
% 1.67/1.89 ----> UNIT CONFLICT at 0.00 sec ----> 43 [binary,42.1,2.1] $F.
% 1.67/1.89
% 1.67/1.89 Length of proof is 3. Level of proof is 3.
% 1.67/1.89
% 1.67/1.89 ---------------- PROOF ----------------
% 1.67/1.89 % SZS status Unsatisfiable
% 1.67/1.89 % SZS output start Refutation
% See solution above
% 1.67/1.89 ------------ end of proof -------------
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89 ============ end of search ============
% 1.67/1.89
% 1.67/1.89 -------------- statistics -------------
% 1.67/1.89 clauses given 10
% 1.67/1.89 clauses generated 50
% 1.67/1.89 clauses kept 42
% 1.67/1.89 clauses forward subsumed 13
% 1.67/1.89 clauses back subsumed 0
% 1.67/1.89 Kbytes malloced 976
% 1.67/1.89
% 1.67/1.89 ----------- times (seconds) -----------
% 1.67/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.67/1.89
% 1.67/1.89 That finishes the proof of the theorem.
% 1.67/1.89
% 1.67/1.89 Process 13216 finished Wed Jul 27 09:37:09 2022
% 1.67/1.90 Otter interrupted
% 1.67/1.90 PROOF FOUND
%------------------------------------------------------------------------------