TSTP Solution File: LCL033-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:03:21 EDT 2022
% Result : Unsatisfiable 1.83s 2.05s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 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 : 29 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL033-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(a,implies(b,a))),
file('LCL033-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
file('LCL033-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(6,plain,
is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),implies(D,C))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(14,plain,
is_a_theorem(implies(A,implies(B,implies(falsehood,C)))),
inference(hyper,[status(thm)],[6,1,6]),
[iquote('hyper,6,1,6')] ).
cnf(23,plain,
is_a_theorem(implies(A,implies(falsehood,B))),
inference(hyper,[status(thm)],[14,1,14]),
[iquote('hyper,14,1,14')] ).
cnf(26,plain,
is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))),
inference(hyper,[status(thm)],[23,1,3]),
[iquote('hyper,23,1,3')] ).
cnf(28,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[26,1,4]),
[iquote('hyper,26,1,4')] ).
cnf(29,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(hyper,[status(thm)],[28,1,28]),
[iquote('hyper,28,1,28')] ).
cnf(30,plain,
$false,
inference(binary,[status(thm)],[29,2]),
[iquote('binary,29.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 09:21:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.83/2.05 ----- Otter 3.3f, August 2004 -----
% 1.83/2.05 The process was started by sandbox on n020.cluster.edu,
% 1.83/2.05 Wed Jul 27 09:21:53 2022
% 1.83/2.05 The command was "./otter". The process ID is 10293.
% 1.83/2.05
% 1.83/2.05 set(prolog_style_variables).
% 1.83/2.05 set(auto).
% 1.83/2.05 dependent: set(auto1).
% 1.83/2.05 dependent: set(process_input).
% 1.83/2.05 dependent: clear(print_kept).
% 1.83/2.05 dependent: clear(print_new_demod).
% 1.83/2.05 dependent: clear(print_back_demod).
% 1.83/2.05 dependent: clear(print_back_sub).
% 1.83/2.05 dependent: set(control_memory).
% 1.83/2.05 dependent: assign(max_mem, 12000).
% 1.83/2.05 dependent: assign(pick_given_ratio, 4).
% 1.83/2.05 dependent: assign(stats_level, 1).
% 1.83/2.05 dependent: assign(max_seconds, 10800).
% 1.83/2.05 clear(print_given).
% 1.83/2.05
% 1.83/2.05 list(usable).
% 1.83/2.05 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.83/2.05 0 [] is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))).
% 1.83/2.05 0 [] -is_a_theorem(implies(a,implies(b,a))).
% 1.83/2.05 end_of_list.
% 1.83/2.05
% 1.83/2.05 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.83/2.05
% 1.83/2.05 This is a Horn set without equality. The strategy will
% 1.83/2.05 be hyperresolution, with satellites in sos and nuclei
% 1.83/2.05 in usable.
% 1.83/2.05
% 1.83/2.05 dependent: set(hyper_res).
% 1.83/2.05 dependent: clear(order_hyper).
% 1.83/2.05
% 1.83/2.05 ------------> process usable:
% 1.83/2.05 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.83/2.05 ** KEPT (pick-wt=6): 2 [] -is_a_theorem(implies(a,implies(b,a))).
% 1.83/2.05
% 1.83/2.05 ------------> process sos:
% 1.83/2.05 ** KEPT (pick-wt=20): 3 [] is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))).
% 1.83/2.05
% 1.83/2.05 ======= end of input processing =======
% 1.83/2.05
% 1.83/2.05 =========== start of search ===========
% 1.83/2.05
% 1.83/2.05 -------- PROOF --------
% 1.83/2.05
% 1.83/2.05 ----> UNIT CONFLICT at 0.00 sec ----> 30 [binary,29.1,2.1] $F.
% 1.83/2.05
% 1.83/2.05 Length of proof is 7. Level of proof is 7.
% 1.83/2.05
% 1.83/2.05 ---------------- PROOF ----------------
% 1.83/2.05 % SZS status Unsatisfiable
% 1.83/2.05 % SZS output start Refutation
% See solution above
% 1.83/2.05 ------------ end of proof -------------
% 1.83/2.05
% 1.83/2.05
% 1.83/2.05 Search stopped by max_proofs option.
% 1.83/2.05
% 1.83/2.05
% 1.83/2.05 Search stopped by max_proofs option.
% 1.83/2.05
% 1.83/2.05 ============ end of search ============
% 1.83/2.05
% 1.83/2.05 -------------- statistics -------------
% 1.83/2.05 clauses given 12
% 1.83/2.05 clauses generated 89
% 1.83/2.05 clauses kept 29
% 1.83/2.05 clauses forward subsumed 63
% 1.83/2.05 clauses back subsumed 5
% 1.83/2.05 Kbytes malloced 976
% 1.83/2.05
% 1.83/2.05 ----------- times (seconds) -----------
% 1.83/2.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.83/2.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.83/2.05 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.83/2.05
% 1.83/2.05 That finishes the proof of the theorem.
% 1.83/2.05
% 1.83/2.05 Process 10293 finished Wed Jul 27 09:21:55 2022
% 1.83/2.05 Otter interrupted
% 1.83/2.05 PROOF FOUND
%------------------------------------------------------------------------------