TSTP Solution File: LCL027-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL027-1 : 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 13:03:21 EDT 2022
% Result : Unsatisfiable 1.94s 2.10s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 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; 2 con; 0-2 aty)
% Number of variables : 27 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL027-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(falsehood,a)),
file('LCL027-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(A,implies(B,A))),
file('LCL027-1.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)),
file('LCL027-1.p',unknown),
[] ).
cnf(5,axiom,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL027-1.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(7,plain,
is_a_theorem(implies(falsehood,falsehood)),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(8,plain,
is_a_theorem(implies(A,implies(implies(implies(B,falsehood),falsehood),B))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(9,plain,
is_a_theorem(implies(A,implies(falsehood,falsehood))),
inference(hyper,[status(thm)],[7,1,3]),
[iquote('hyper,7,1,3')] ).
cnf(10,plain,
is_a_theorem(implies(A,implies(B,implies(falsehood,falsehood)))),
inference(hyper,[status(thm)],[9,1,3]),
[iquote('hyper,9,1,3')] ).
cnf(17,plain,
is_a_theorem(implies(implies(A,B),implies(A,A))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(23,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[17,1,10]),
[iquote('hyper,17,1,10')] ).
cnf(24,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))),
inference(hyper,[status(thm)],[23,1,5]),
[iquote('hyper,23,1,5')] ).
cnf(26,plain,
is_a_theorem(implies(implies(A,implies(implies(B,falsehood),falsehood)),implies(A,B))),
inference(hyper,[status(thm)],[8,1,5]),
[iquote('hyper,8,1,5')] ).
cnf(94,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)),
inference(hyper,[status(thm)],[24,1,6]),
[iquote('hyper,24,1,6')] ).
cnf(132,plain,
is_a_theorem(implies(falsehood,A)),
inference(hyper,[status(thm)],[26,1,94]),
[iquote('hyper,26,1,94')] ).
cnf(133,plain,
$false,
inference(binary,[status(thm)],[132,2]),
[iquote('binary,132.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 09:26:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.10 ----- Otter 3.3f, August 2004 -----
% 1.94/2.10 The process was started by sandbox on n013.cluster.edu,
% 1.94/2.10 Wed Jul 27 09:26:15 2022
% 1.94/2.10 The command was "./otter". The process ID is 24979.
% 1.94/2.10
% 1.94/2.10 set(prolog_style_variables).
% 1.94/2.10 set(auto).
% 1.94/2.10 dependent: set(auto1).
% 1.94/2.10 dependent: set(process_input).
% 1.94/2.10 dependent: clear(print_kept).
% 1.94/2.10 dependent: clear(print_new_demod).
% 1.94/2.10 dependent: clear(print_back_demod).
% 1.94/2.10 dependent: clear(print_back_sub).
% 1.94/2.10 dependent: set(control_memory).
% 1.94/2.10 dependent: assign(max_mem, 12000).
% 1.94/2.10 dependent: assign(pick_given_ratio, 4).
% 1.94/2.10 dependent: assign(stats_level, 1).
% 1.94/2.10 dependent: assign(max_seconds, 10800).
% 1.94/2.10 clear(print_given).
% 1.94/2.10
% 1.94/2.10 list(usable).
% 1.94/2.10 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.94/2.10 0 [] is_a_theorem(implies(X,implies(Y,X))).
% 1.94/2.10 0 [] is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)).
% 1.94/2.10 0 [] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))).
% 1.94/2.10 0 [] -is_a_theorem(implies(falsehood,a)).
% 1.94/2.10 end_of_list.
% 1.94/2.10
% 1.94/2.10 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.94/2.10
% 1.94/2.10 This is a Horn set without equality. The strategy will
% 1.94/2.10 be hyperresolution, with satellites in sos and nuclei
% 1.94/2.10 in usable.
% 1.94/2.10
% 1.94/2.10 dependent: set(hyper_res).
% 1.94/2.10 dependent: clear(order_hyper).
% 1.94/2.10
% 1.94/2.10 ------------> process usable:
% 1.94/2.10 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.94/2.10 ** KEPT (pick-wt=4): 2 [] -is_a_theorem(implies(falsehood,a)).
% 1.94/2.10
% 1.94/2.10 ------------> process sos:
% 1.94/2.10 ** KEPT (pick-wt=6): 3 [] is_a_theorem(implies(A,implies(B,A))).
% 1.94/2.10 ** KEPT (pick-wt=8): 4 [] is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)).
% 1.94/2.10 ** KEPT (pick-wt=14): 5 [] is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.94/2.10
% 1.94/2.10 ======= end of input processing =======
% 1.94/2.10
% 1.94/2.10 =========== start of search ===========
% 1.94/2.10
% 1.94/2.10 -------- PROOF --------
% 1.94/2.10
% 1.94/2.10 ----> UNIT CONFLICT at 0.00 sec ----> 133 [binary,132.1,2.1] $F.
% 1.94/2.10
% 1.94/2.10 Length of proof is 11. Level of proof is 7.
% 1.94/2.10
% 1.94/2.10 ---------------- PROOF ----------------
% 1.94/2.10 % SZS status Unsatisfiable
% 1.94/2.10 % SZS output start Refutation
% See solution above
% 1.94/2.10 ------------ end of proof -------------
% 1.94/2.10
% 1.94/2.10
% 1.94/2.10 Search stopped by max_proofs option.
% 1.94/2.10
% 1.94/2.10
% 1.94/2.10 Search stopped by max_proofs option.
% 1.94/2.10
% 1.94/2.10 ============ end of search ============
% 1.94/2.10
% 1.94/2.10 -------------- statistics -------------
% 1.94/2.10 clauses given 31
% 1.94/2.10 clauses generated 595
% 1.94/2.10 clauses kept 132
% 1.94/2.10 clauses forward subsumed 468
% 1.94/2.10 clauses back subsumed 10
% 1.94/2.10 Kbytes malloced 976
% 1.94/2.10
% 1.94/2.10 ----------- times (seconds) -----------
% 1.94/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.10 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.94/2.10
% 1.94/2.10 That finishes the proof of the theorem.
% 1.94/2.10
% 1.94/2.10 Process 24979 finished Wed Jul 27 09:26:16 2022
% 1.94/2.10 Otter interrupted
% 1.94/2.10 PROOF FOUND
%------------------------------------------------------------------------------