TSTP Solution File: LCL045-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL045-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:03:23 EDT 2022
% Result : Unsatisfiable 3.69s 3.96s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 17 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 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; 2 con; 0-2 aty)
% Number of variables : 38 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL045-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('LCL045-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(not(A),B))),
file('LCL045-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL045-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
file('LCL045-1.p',unknown),
[] ).
cnf(6,axiom,
is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))),
file('LCL045-1.p',unknown),
[] ).
cnf(7,axiom,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))),
file('LCL045-1.p',unknown),
[] ).
cnf(23,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(hyper,[status(thm)],[5,1,4]),
[iquote('hyper,5,1,4')] ).
cnf(25,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[23,1,23]),
[iquote('hyper,23,1,23')] ).
cnf(28,plain,
is_a_theorem(implies(A,implies(implies(A,B),B))),
inference(hyper,[status(thm)],[25,1,5]),
[iquote('hyper,25,1,5')] ).
cnf(35,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(hyper,[status(thm)],[6,1,5]),
[iquote('hyper,6,1,5')] ).
cnf(43,plain,
is_a_theorem(implies(implies(A,B),implies(A,implies(not(B),C)))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(74,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)),
inference(hyper,[status(thm)],[28,1,4]),
[iquote('hyper,28,1,4')] ).
cnf(87,plain,
is_a_theorem(implies(implies(not(A),B),implies(implies(A,B),B))),
inference(hyper,[status(thm)],[7,1,5]),
[iquote('hyper,7,1,5')] ).
cnf(1027,plain,
is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(implies(A,B),D))),
inference(hyper,[status(thm)],[35,1,43]),
[iquote('hyper,35,1,43')] ).
cnf(1143,plain,
is_a_theorem(implies(implies(A,implies(B,not(A))),implies(B,not(A)))),
inference(hyper,[status(thm)],[87,1,74]),
[iquote('hyper,87,1,74')] ).
cnf(2462,plain,
is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))),
inference(hyper,[status(thm)],[1027,1,1143]),
[iquote('hyper,1027,1,1143')] ).
cnf(2463,plain,
$false,
inference(binary,[status(thm)],[2462,2]),
[iquote('binary,2462.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL045-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 08:43:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.69/3.96 ----- Otter 3.3f, August 2004 -----
% 3.69/3.96 The process was started by sandbox on n017.cluster.edu,
% 3.69/3.96 Wed Jul 27 08:43:48 2022
% 3.69/3.96 The command was "./otter". The process ID is 14343.
% 3.69/3.96
% 3.69/3.96 set(prolog_style_variables).
% 3.69/3.96 set(auto).
% 3.69/3.96 dependent: set(auto1).
% 3.69/3.96 dependent: set(process_input).
% 3.69/3.96 dependent: clear(print_kept).
% 3.69/3.96 dependent: clear(print_new_demod).
% 3.69/3.96 dependent: clear(print_back_demod).
% 3.69/3.96 dependent: clear(print_back_sub).
% 3.69/3.96 dependent: set(control_memory).
% 3.69/3.96 dependent: assign(max_mem, 12000).
% 3.69/3.96 dependent: assign(pick_given_ratio, 4).
% 3.69/3.96 dependent: assign(stats_level, 1).
% 3.69/3.96 dependent: assign(max_seconds, 10800).
% 3.69/3.96 clear(print_given).
% 3.69/3.96
% 3.69/3.96 list(usable).
% 3.69/3.96 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 3.69/3.96 0 [] is_a_theorem(implies(X,implies(not(X),Y))).
% 3.69/3.96 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 3.69/3.96 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))).
% 3.69/3.96 0 [] is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))).
% 3.69/3.96 0 [] is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))).
% 3.69/3.96 0 [] -is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))).
% 3.69/3.96 end_of_list.
% 3.69/3.96
% 3.69/3.96 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 3.69/3.96
% 3.69/3.96 This is a Horn set without equality. The strategy will
% 3.69/3.96 be hyperresolution, with satellites in sos and nuclei
% 3.69/3.96 in usable.
% 3.69/3.96
% 3.69/3.96 dependent: set(hyper_res).
% 3.69/3.96 dependent: clear(order_hyper).
% 3.69/3.96
% 3.69/3.96 ------------> process usable:
% 3.69/3.96 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 3.69/3.96 ** KEPT (pick-wt=10): 2 [] -is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))).
% 3.69/3.96
% 3.69/3.96 ------------> process sos:
% 3.69/3.96 ** KEPT (pick-wt=7): 3 [] is_a_theorem(implies(A,implies(not(A),B))).
% 3.69/3.96 ** KEPT (pick-wt=6): 4 [] is_a_theorem(implies(A,implies(B,A))).
% 3.69/3.96 ** KEPT (pick-wt=12): 5 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 3.69/3.96 ** KEPT (pick-wt=12): 6 [] is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 3.69/3.96 ** KEPT (pick-wt=11): 7 [] is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))).
% 3.69/3.96
% 3.69/3.96 ======= end of input processing =======
% 3.69/3.96
% 3.69/3.96 =========== start of search ===========
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Resetting weight limit to 12.
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Resetting weight limit to 12.
% 3.69/3.96
% 3.69/3.96 sos_size=1936
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Resetting weight limit to 11.
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Resetting weight limit to 11.
% 3.69/3.96
% 3.69/3.96 sos_size=2115
% 3.69/3.96
% 3.69/3.96 -------- PROOF --------
% 3.69/3.96
% 3.69/3.96 ----> UNIT CONFLICT at 2.07 sec ----> 2463 [binary,2462.1,2.1] $F.
% 3.69/3.96
% 3.69/3.96 Length of proof is 10. Level of proof is 6.
% 3.69/3.96
% 3.69/3.96 ---------------- PROOF ----------------
% 3.69/3.96 % SZS status Unsatisfiable
% 3.69/3.96 % SZS output start Refutation
% See solution above
% 3.69/3.96 ------------ end of proof -------------
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Search stopped by max_proofs option.
% 3.69/3.96
% 3.69/3.96
% 3.69/3.96 Search stopped by max_proofs option.
% 3.69/3.96
% 3.69/3.96 ============ end of search ============
% 3.69/3.96
% 3.69/3.96 -------------- statistics -------------
% 3.69/3.96 clauses given 1489
% 3.69/3.96 clauses generated 1158605
% 3.69/3.96 clauses kept 2462
% 3.69/3.96 clauses forward subsumed 370397
% 3.69/3.96 clauses back subsumed 6
% 3.69/3.96 Kbytes malloced 6835
% 3.69/3.96
% 3.69/3.96 ----------- times (seconds) -----------
% 3.69/3.96 user CPU time 2.07 (0 hr, 0 min, 2 sec)
% 3.69/3.96 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.69/3.96 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.69/3.96
% 3.69/3.96 That finishes the proof of the theorem.
% 3.69/3.96
% 3.69/3.96 Process 14343 finished Wed Jul 27 08:43:51 2022
% 3.69/3.96 Otter interrupted
% 3.69/3.96 PROOF FOUND
%------------------------------------------------------------------------------