TSTP Solution File: SET062+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:12:58 EDT 2022
% Result : Theorem 1.34s 1.88s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 4 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ member(A,empty_set),
file('SET062+3.p',unknown),
[] ).
cnf(5,axiom,
~ subset(empty_set,dollar_c1),
file('SET062+3.p',unknown),
[] ).
cnf(6,axiom,
( subset(A,B)
| member(dollar_f1(A,B),A) ),
file('SET062+3.p',unknown),
[] ).
cnf(9,plain,
member(dollar_f1(empty_set,dollar_c1),empty_set),
inference(hyper,[status(thm)],[6,5]),
[iquote('hyper,6,5')] ).
cnf(10,plain,
$false,
inference(binary,[status(thm)],[9,1]),
[iquote('binary,9.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:47:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.34/1.88 ----- Otter 3.3f, August 2004 -----
% 1.34/1.88 The process was started by sandbox on n028.cluster.edu,
% 1.34/1.88 Wed Jul 27 10:47:04 2022
% 1.34/1.88 The command was "./otter". The process ID is 5499.
% 1.34/1.88
% 1.34/1.88 set(prolog_style_variables).
% 1.34/1.88 set(auto).
% 1.34/1.88 dependent: set(auto1).
% 1.34/1.88 dependent: set(process_input).
% 1.34/1.88 dependent: clear(print_kept).
% 1.34/1.88 dependent: clear(print_new_demod).
% 1.34/1.88 dependent: clear(print_back_demod).
% 1.34/1.88 dependent: clear(print_back_sub).
% 1.34/1.88 dependent: set(control_memory).
% 1.34/1.88 dependent: assign(max_mem, 12000).
% 1.34/1.88 dependent: assign(pick_given_ratio, 4).
% 1.34/1.88 dependent: assign(stats_level, 1).
% 1.34/1.88 dependent: assign(max_seconds, 10800).
% 1.34/1.88 clear(print_given).
% 1.34/1.88
% 1.34/1.88 formula_list(usable).
% 1.34/1.88 all B (-member(B,empty_set)).
% 1.34/1.88 all B C (subset(B,C)<-> (all D (member(D,B)->member(D,C)))).
% 1.34/1.88 all B subset(B,B).
% 1.34/1.88 all B (empty(B)<-> (all C (-member(C,B)))).
% 1.34/1.88 -(all B subset(empty_set,B)).
% 1.34/1.88 end_of_list.
% 1.34/1.88
% 1.34/1.88 -------> usable clausifies to:
% 1.34/1.88
% 1.34/1.88 list(usable).
% 1.34/1.88 0 [] -member(B,empty_set).
% 1.34/1.88 0 [] -subset(B,C)| -member(D,B)|member(D,C).
% 1.34/1.88 0 [] subset(B,C)|member($f1(B,C),B).
% 1.34/1.88 0 [] subset(B,C)| -member($f1(B,C),C).
% 1.34/1.88 0 [] subset(B,B).
% 1.34/1.88 0 [] -empty(B)| -member(C,B).
% 1.34/1.88 0 [] empty(B)|member($f2(B),B).
% 1.34/1.88 0 [] -subset(empty_set,$c1).
% 1.34/1.88 end_of_list.
% 1.34/1.88
% 1.34/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.34/1.88
% 1.34/1.88 This is a non-Horn set without equality. The strategy will
% 1.34/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.34/1.88 satellites in sos and with nuclei in usable.
% 1.34/1.88
% 1.34/1.88 dependent: set(hyper_res).
% 1.34/1.88 dependent: set(factor).
% 1.34/1.88 dependent: set(unit_deletion).
% 1.34/1.88
% 1.34/1.88 ------------> process usable:
% 1.34/1.88 ** KEPT (pick-wt=3): 1 [] -member(A,empty_set).
% 1.34/1.88 ** KEPT (pick-wt=9): 2 [] -subset(A,B)| -member(C,A)|member(C,B).
% 1.34/1.88 ** KEPT (pick-wt=8): 3 [] subset(A,B)| -member($f1(A,B),B).
% 1.34/1.88 ** KEPT (pick-wt=5): 4 [] -empty(A)| -member(B,A).
% 1.34/1.88 ** KEPT (pick-wt=3): 5 [] -subset(empty_set,$c1).
% 1.34/1.88
% 1.34/1.88 ------------> process sos:
% 1.34/1.88 ** KEPT (pick-wt=8): 6 [] subset(A,B)|member($f1(A,B),A).
% 1.34/1.88 ** KEPT (pick-wt=3): 7 [] subset(A,A).
% 1.34/1.88 ** KEPT (pick-wt=6): 8 [] empty(A)|member($f2(A),A).
% 1.34/1.88
% 1.34/1.88 ======= end of input processing =======
% 1.34/1.88
% 1.34/1.88 =========== start of search ===========
% 1.34/1.88
% 1.34/1.88 -------- PROOF --------
% 1.34/1.88
% 1.34/1.88 ----> UNIT CONFLICT at 0.00 sec ----> 10 [binary,9.1,1.1] $F.
% 1.34/1.88
% 1.34/1.88 Length of proof is 1. Level of proof is 1.
% 1.34/1.88
% 1.34/1.88 ---------------- PROOF ----------------
% 1.34/1.88 % SZS status Theorem
% 1.34/1.88 % SZS output start Refutation
% See solution above
% 1.34/1.88 ------------ end of proof -------------
% 1.34/1.88
% 1.34/1.88
% 1.34/1.88 Search stopped by max_proofs option.
% 1.34/1.88
% 1.34/1.88
% 1.34/1.88 Search stopped by max_proofs option.
% 1.34/1.88
% 1.34/1.88 ============ end of search ============
% 1.34/1.88
% 1.34/1.88 -------------- statistics -------------
% 1.34/1.88 clauses given 1
% 1.34/1.88 clauses generated 1
% 1.34/1.88 clauses kept 9
% 1.34/1.88 clauses forward subsumed 0
% 1.34/1.88 clauses back subsumed 0
% 1.34/1.88 Kbytes malloced 976
% 1.34/1.88
% 1.34/1.88 ----------- times (seconds) -----------
% 1.34/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.34/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.34/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.34/1.88
% 1.34/1.88 That finishes the proof of the theorem.
% 1.34/1.88
% 1.34/1.88 Process 5499 finished Wed Jul 27 10:47:05 2022
% 1.34/1.88 Otter interrupted
% 1.34/1.88 PROOF FOUND
%------------------------------------------------------------------------------