TSTP Solution File: LCL414-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 13:04:22 EDT 2022
% Result : Unsatisfiable 1.92s 2.09s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( a_truth(A)
| ~ a_truth(B)
| ~ a_truth(implies(B,A)) ),
file('LCL414-1.p',unknown),
[] ).
cnf(2,axiom,
~ a_truth(implies(sk1,sk1)),
file('LCL414-1.p',unknown),
[] ).
cnf(3,axiom,
a_truth(implies(A,implies(B,A))),
file('LCL414-1.p',unknown),
[] ).
cnf(4,axiom,
a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL414-1.p',unknown),
[] ).
cnf(5,axiom,
a_truth(implies(implies(not(A),not(B)),implies(B,A))),
file('LCL414-1.p',unknown),
[] ).
cnf(8,plain,
a_truth(implies(A,implies(implies(not(B),not(C)),implies(C,B)))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(15,plain,
a_truth(implies(implies(A,B),implies(A,A))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(18,plain,
a_truth(implies(A,A)),
inference(hyper,[status(thm)],[15,1,8]),
[iquote('hyper,15,1,8')] ).
cnf(19,plain,
$false,
inference(binary,[status(thm)],[18,2]),
[iquote('binary,18.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 09:14:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.92/2.09 ----- Otter 3.3f, August 2004 -----
% 1.92/2.09 The process was started by sandbox on n006.cluster.edu,
% 1.92/2.09 Wed Jul 27 09:14:17 2022
% 1.92/2.09 The command was "./otter". The process ID is 30891.
% 1.92/2.09
% 1.92/2.09 set(prolog_style_variables).
% 1.92/2.09 set(auto).
% 1.92/2.09 dependent: set(auto1).
% 1.92/2.09 dependent: set(process_input).
% 1.92/2.09 dependent: clear(print_kept).
% 1.92/2.09 dependent: clear(print_new_demod).
% 1.92/2.09 dependent: clear(print_back_demod).
% 1.92/2.09 dependent: clear(print_back_sub).
% 1.92/2.09 dependent: set(control_memory).
% 1.92/2.09 dependent: assign(max_mem, 12000).
% 1.92/2.09 dependent: assign(pick_given_ratio, 4).
% 1.92/2.09 dependent: assign(stats_level, 1).
% 1.92/2.09 dependent: assign(max_seconds, 10800).
% 1.92/2.09 clear(print_given).
% 1.92/2.09
% 1.92/2.09 list(usable).
% 1.92/2.09 0 [] a_truth(B)| -a_truth(A)| -a_truth(implies(A,B)).
% 1.92/2.09 0 [] a_truth(implies(A,implies(B,A))).
% 1.92/2.09 0 [] a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.92/2.09 0 [] a_truth(implies(implies(not(A),not(B)),implies(B,A))).
% 1.92/2.09 0 [] -a_truth(implies(sk1,sk1)).
% 1.92/2.09 end_of_list.
% 1.92/2.09
% 1.92/2.09 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.92/2.09
% 1.92/2.09 This is a Horn set without equality. The strategy will
% 1.92/2.09 be hyperresolution, with satellites in sos and nuclei
% 1.92/2.09 in usable.
% 1.92/2.09
% 1.92/2.09 dependent: set(hyper_res).
% 1.92/2.09 dependent: clear(order_hyper).
% 1.92/2.09
% 1.92/2.09 ------------> process usable:
% 1.92/2.09 ** KEPT (pick-wt=8): 1 [] a_truth(A)| -a_truth(B)| -a_truth(implies(B,A)).
% 1.92/2.09 ** KEPT (pick-wt=4): 2 [] -a_truth(implies(sk1,sk1)).
% 1.92/2.09
% 1.92/2.09 ------------> process sos:
% 1.92/2.09 ** KEPT (pick-wt=6): 3 [] a_truth(implies(A,implies(B,A))).
% 1.92/2.09 ** KEPT (pick-wt=14): 4 [] a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.92/2.09 ** KEPT (pick-wt=10): 5 [] a_truth(implies(implies(not(A),not(B)),implies(B,A))).
% 1.92/2.09
% 1.92/2.09 ======= end of input processing =======
% 1.92/2.09
% 1.92/2.09 =========== start of search ===========
% 1.92/2.09
% 1.92/2.09 -------- PROOF --------
% 1.92/2.09
% 1.92/2.09 ----> UNIT CONFLICT at 0.00 sec ----> 19 [binary,18.1,2.1] $F.
% 1.92/2.09
% 1.92/2.09 Length of proof is 3. Level of proof is 2.
% 1.92/2.09
% 1.92/2.09 ---------------- PROOF ----------------
% 1.92/2.09 % SZS status Unsatisfiable
% 1.92/2.09 % SZS output start Refutation
% See solution above
% 1.92/2.09 ------------ end of proof -------------
% 1.92/2.09
% 1.92/2.09
% 1.92/2.09 Search stopped by max_proofs option.
% 1.92/2.09
% 1.92/2.09
% 1.92/2.09 Search stopped by max_proofs option.
% 1.92/2.09
% 1.92/2.09 ============ end of search ============
% 1.92/2.09
% 1.92/2.09 -------------- statistics -------------
% 1.92/2.09 clauses given 7
% 1.92/2.09 clauses generated 37
% 1.92/2.09 clauses kept 18
% 1.92/2.09 clauses forward subsumed 24
% 1.92/2.09 clauses back subsumed 0
% 1.92/2.09 Kbytes malloced 976
% 1.92/2.09
% 1.92/2.09 ----------- times (seconds) -----------
% 1.92/2.09 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.92/2.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.92/2.09 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.92/2.09
% 1.92/2.09 That finishes the proof of the theorem.
% 1.92/2.09
% 1.92/2.09 Process 30891 finished Wed Jul 27 09:14:18 2022
% 1.92/2.09 Otter interrupted
% 1.92/2.09 PROOF FOUND
%------------------------------------------------------------------------------