TSTP Solution File: SET043-5 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET043-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:12:54 EDT 2022
% Result : Unsatisfiable 1.69s 1.90s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 3 unt; 1 nHn; 4 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ element(A,a)
| ~ element(A,A) ),
file('SET043-5.p',unknown),
[] ).
cnf(2,plain,
~ element(a,a),
inference(factor,[status(thm)],[1]),
[iquote('factor,1.1.2')] ).
cnf(3,axiom,
( element(A,A)
| element(A,a) ),
file('SET043-5.p',unknown),
[] ).
cnf(4,plain,
element(a,a),
inference(factor,[status(thm)],[3]),
[iquote('factor,3.1.2')] ).
cnf(5,plain,
$false,
inference(binary,[status(thm)],[4,2]),
[iquote('binary,4.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET043-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.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 10:38:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.69/1.90
% 1.69/1.90 -------- PROOF --------
% 1.69/1.90 ----- Otter 3.3f, August 2004 -----
% 1.69/1.90 The process was started by sandbox2 on n007.cluster.edu,
% 1.69/1.90 Wed Jul 27 10:38:01 2022
% 1.69/1.90 The command was "./otter". The process ID is 7100.
% 1.69/1.90
% 1.69/1.90 set(prolog_style_variables).
% 1.69/1.90 set(auto).
% 1.69/1.90 dependent: set(auto1).
% 1.69/1.90 dependent: set(process_input).
% 1.69/1.90 dependent: clear(print_kept).
% 1.69/1.90 dependent: clear(print_new_demod).
% 1.69/1.90 dependent: clear(print_back_demod).
% 1.69/1.90 dependent: clear(print_back_sub).
% 1.69/1.90 dependent: set(control_memory).
% 1.69/1.90 dependent: assign(max_mem, 12000).
% 1.69/1.90 dependent: assign(pick_given_ratio, 4).
% 1.69/1.90 dependent: assign(stats_level, 1).
% 1.69/1.90 dependent: assign(max_seconds, 10800).
% 1.69/1.90 clear(print_given).
% 1.69/1.90
% 1.69/1.90 list(usable).
% 1.69/1.90 0 [] -element(X,a)| -element(X,X).
% 1.69/1.90 0 [] element(X,X)|element(X,a).
% 1.69/1.90 end_of_list.
% 1.69/1.90
% 1.69/1.90 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.69/1.90
% 1.69/1.90 This is a non-Horn set without equality. The strategy will
% 1.69/1.90 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.90 satellites in sos and with nuclei in usable.
% 1.69/1.90
% 1.69/1.90 dependent: set(hyper_res).
% 1.69/1.90 dependent: set(factor).
% 1.69/1.90 dependent: set(unit_deletion).
% 1.69/1.90
% 1.69/1.90 ------------> process usable:
% 1.69/1.90 ** KEPT (pick-wt=6): 1 [] -element(A,a)| -element(A,A).
% 1.69/1.90
% 1.69/1.90 ------------> process sos:
% 1.69/1.90 ** KEPT (pick-wt=6): 3 [] element(A,A)|element(A,a).
% 1.69/1.90
% 1.69/1.90 ----> UNIT CONFLICT at 0.00 sec ----> 5 [binary,4.1,2.1] $F.
% 1.69/1.90
% 1.69/1.90 Length of proof is 2. Level of proof is 1.
% 1.69/1.90
% 1.69/1.90 ---------------- PROOF ----------------
% 1.69/1.90 % SZS status Unsatisfiable
% 1.69/1.90 % SZS output start Refutation
% See solution above
% 1.69/1.90 ------------ end of proof -------------
% 1.69/1.90
% 1.69/1.90
% 1.69/1.90 Search stopped by max_proofs option.
% 1.69/1.90
% 1.69/1.90
% 1.69/1.90 Search stopped by max_proofs option.
% 1.69/1.90
% 1.69/1.90 ============ end of search ============
% 1.69/1.90
% 1.69/1.90 -------------- statistics -------------
% 1.69/1.90 clauses given 0
% 1.69/1.90 clauses generated 2
% 1.69/1.90 clauses kept 4
% 1.69/1.90 clauses forward subsumed 0
% 1.69/1.90 clauses back subsumed 0
% 1.69/1.90 Kbytes malloced 976
% 1.69/1.90
% 1.69/1.90 ----------- times (seconds) -----------
% 1.69/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.90 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.69/1.90
% 1.69/1.90 That finishes the proof of the theorem.
% 1.69/1.90
% 1.69/1.90 Process 7100 finished Wed Jul 27 10:38:02 2022
% 1.69/1.91 Otter interrupted
% 1.69/1.91 PROOF FOUND
%------------------------------------------------------------------------------