TSTP Solution File: LCL025-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:03:20 EDT 2022
% Result : Unsatisfiable 2.24s 2.41s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 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 : 48 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL025-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('LCL025-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL025-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL025-1.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(11,plain,
is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(12,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)],[5,1,5]),
[iquote('hyper,5,1,5')] ).
cnf(13,plain,
is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(42,plain,
is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))),
inference(hyper,[status(thm)],[12,1,11]),
[iquote('hyper,12,1,11')] ).
cnf(44,plain,
is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))),
inference(hyper,[status(thm)],[12,1,6]),
[iquote('hyper,12,1,6')] ).
cnf(64,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))),
inference(hyper,[status(thm)],[13,1,12]),
[iquote('hyper,13,1,12')] ).
cnf(318,plain,
is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))),
inference(hyper,[status(thm)],[44,1,13]),
[iquote('hyper,44,1,13')] ).
cnf(1309,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[318,1,42]),
[iquote('hyper,318,1,42')] ).
cnf(1427,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))),
inference(hyper,[status(thm)],[1309,1,3]),
[iquote('hyper,1309,1,3')] ).
cnf(3378,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[1427,1,64]),
[iquote('hyper,1427,1,64')] ).
cnf(6143,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(hyper,[status(thm)],[3378,1,318]),
[iquote('hyper,3378,1,318')] ).
cnf(6144,plain,
$false,
inference(binary,[status(thm)],[6143,2]),
[iquote('binary,6143.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 09:10:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.24/2.41 ----- Otter 3.3f, August 2004 -----
% 2.24/2.41 The process was started by sandbox2 on n013.cluster.edu,
% 2.24/2.41 Wed Jul 27 09:10:45 2022
% 2.24/2.41 The command was "./otter". The process ID is 16326.
% 2.24/2.41
% 2.24/2.41 set(prolog_style_variables).
% 2.24/2.41 set(auto).
% 2.24/2.41 dependent: set(auto1).
% 2.24/2.41 dependent: set(process_input).
% 2.24/2.41 dependent: clear(print_kept).
% 2.24/2.41 dependent: clear(print_new_demod).
% 2.24/2.41 dependent: clear(print_back_demod).
% 2.24/2.41 dependent: clear(print_back_sub).
% 2.24/2.41 dependent: set(control_memory).
% 2.24/2.41 dependent: assign(max_mem, 12000).
% 2.24/2.41 dependent: assign(pick_given_ratio, 4).
% 2.24/2.41 dependent: assign(stats_level, 1).
% 2.24/2.41 dependent: assign(max_seconds, 10800).
% 2.24/2.41 clear(print_given).
% 2.24/2.41
% 2.24/2.41 list(usable).
% 2.24/2.41 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 2.24/2.41 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 2.24/2.41 0 [] is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)).
% 2.24/2.41 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))).
% 2.24/2.41 0 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 2.24/2.41 end_of_list.
% 2.24/2.41
% 2.24/2.41 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 2.24/2.41
% 2.24/2.41 This is a Horn set without equality. The strategy will
% 2.24/2.41 be hyperresolution, with satellites in sos and nuclei
% 2.24/2.41 in usable.
% 2.24/2.41
% 2.24/2.41 dependent: set(hyper_res).
% 2.24/2.41 dependent: clear(order_hyper).
% 2.24/2.41
% 2.24/2.41 ------------> process usable:
% 2.24/2.41 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 2.24/2.41 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 2.24/2.41
% 2.24/2.41 ------------> process sos:
% 2.24/2.41 ** KEPT (pick-wt=6): 3 [] is_a_theorem(implies(A,implies(B,A))).
% 2.24/2.41 ** KEPT (pick-wt=8): 4 [] is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)).
% 2.24/2.41 ** KEPT (pick-wt=14): 5 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 2.24/2.41
% 2.24/2.41 ======= end of input processing =======
% 2.24/2.41
% 2.24/2.41 =========== start of search ===========
% 2.24/2.41
% 2.24/2.41
% 2.24/2.41 Resetting weight limit to 14.
% 2.24/2.41
% 2.24/2.41
% 2.24/2.41 Resetting weight limit to 14.
% 2.24/2.41
% 2.24/2.41 sos_size=5822
% 2.24/2.41
% 2.24/2.41 -------- PROOF --------
% 2.24/2.41
% 2.24/2.41 ----> UNIT CONFLICT at 0.29 sec ----> 6144 [binary,6143.1,2.1] $F.
% 2.24/2.41
% 2.24/2.41 Length of proof is 12. Level of proof is 7.
% 2.24/2.41
% 2.24/2.41 ---------------- PROOF ----------------
% 2.24/2.41 % SZS status Unsatisfiable
% 2.24/2.41 % SZS output start Refutation
% See solution above
% 2.24/2.41 ------------ end of proof -------------
% 2.24/2.41
% 2.24/2.41
% 2.24/2.41 Search stopped by max_proofs option.
% 2.24/2.41
% 2.24/2.41
% 2.24/2.41 Search stopped by max_proofs option.
% 2.24/2.41
% 2.24/2.41 ============ end of search ============
% 2.24/2.41
% 2.24/2.41 -------------- statistics -------------
% 2.24/2.41 clauses given 250
% 2.24/2.41 clauses generated 41375
% 2.24/2.41 clauses kept 6143
% 2.24/2.41 clauses forward subsumed 33546
% 2.24/2.41 clauses back subsumed 48
% 2.24/2.41 Kbytes malloced 4882
% 2.24/2.41
% 2.24/2.41 ----------- times (seconds) -----------
% 2.24/2.41 user CPU time 0.29 (0 hr, 0 min, 0 sec)
% 2.24/2.41 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.24/2.41 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.24/2.41
% 2.24/2.41 That finishes the proof of the theorem.
% 2.24/2.41
% 2.24/2.41 Process 16326 finished Wed Jul 27 09:10:47 2022
% 2.24/2.41 Otter interrupted
% 2.24/2.41 PROOF FOUND
%------------------------------------------------------------------------------