TSTP Solution File: MGT009-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:05:57 EDT 2022
% Result : Unsatisfiable 1.67s 1.85s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 20 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 39 ( 0 equ; 20 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('MGT009-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) ),
file('MGT009-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
file('MGT009-1.p',unknown),
[] ).
cnf(5,axiom,
~ greater(sk6,sk5),
file('MGT009-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk2,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk3,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization_free(sk2,sk9,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(9,axiom,
reorganization_free(sk3,sk10,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(10,axiom,
class(sk2,sk4,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(11,axiom,
class(sk3,sk4,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(12,axiom,
reproducibility(sk2,sk5,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(13,axiom,
reproducibility(sk3,sk6,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(14,axiom,
size(sk2,sk7,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(15,axiom,
size(sk3,sk8,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(16,axiom,
greater(sk8,sk7),
file('MGT009-1.p',unknown),
[] ).
cnf(17,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(hyper,[status(thm)],[6,1]),
[iquote('hyper,6,1')] ).
cnf(18,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(hyper,[status(thm)],[7,1]),
[iquote('hyper,7,1')] ).
cnf(19,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(hyper,[status(thm)],[18,4,6,7,10,11,14,15,17,16]),
[iquote('hyper,18,4,6,7,10,11,14,15,17,16')] ).
cnf(20,plain,
greater(sk6,sk5),
inference(hyper,[status(thm)],[19,3,6,7,8,9,12,13,17,18]),
[iquote('hyper,19,3,6,7,8,9,12,13,17,18')] ).
cnf(21,plain,
$false,
inference(binary,[status(thm)],[20,5]),
[iquote('binary,20.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 03:59:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.67/1.85 ----- Otter 3.3f, August 2004 -----
% 1.67/1.85 The process was started by sandbox on n004.cluster.edu,
% 1.67/1.85 Wed Jul 27 03:59:51 2022
% 1.67/1.85 The command was "./otter". The process ID is 4085.
% 1.67/1.85
% 1.67/1.85 set(prolog_style_variables).
% 1.67/1.85 set(auto).
% 1.67/1.85 dependent: set(auto1).
% 1.67/1.85 dependent: set(process_input).
% 1.67/1.85 dependent: clear(print_kept).
% 1.67/1.85 dependent: clear(print_new_demod).
% 1.67/1.85 dependent: clear(print_back_demod).
% 1.67/1.85 dependent: clear(print_back_sub).
% 1.67/1.85 dependent: set(control_memory).
% 1.67/1.85 dependent: assign(max_mem, 12000).
% 1.67/1.85 dependent: assign(pick_given_ratio, 4).
% 1.67/1.85 dependent: assign(stats_level, 1).
% 1.67/1.85 dependent: assign(max_seconds, 10800).
% 1.67/1.85 clear(print_given).
% 1.67/1.85
% 1.67/1.85 list(usable).
% 1.67/1.85 0 [] -organization(A,B)|inertia(A,sk1(B,A),B).
% 1.67/1.85 0 [] -organization(A,B)| -organization(C,D)| -reorganization_free(A,B,B)| -reorganization_free(C,D,D)| -reproducibility(A,E,B)| -reproducibility(C,F,D)| -inertia(A,G,B)| -inertia(C,H,D)| -greater(F,E)|greater(H,G).
% 1.67/1.85 0 [] -organization(A,B)| -organization(C,D)| -reorganization_free(A,B,B)| -reorganization_free(C,D,D)| -reproducibility(A,E,B)| -reproducibility(C,F,D)| -inertia(A,G,B)| -inertia(C,H,D)| -greater(H,G)|greater(F,E).
% 1.67/1.85 0 [] -organization(A,B)| -organization(C,D)| -class(A,E,B)| -class(C,E,D)| -size(A,F,B)| -size(C,G,D)| -inertia(A,H,B)| -inertia(C,I,D)| -greater(G,F)|greater(I,H).
% 1.67/1.85 0 [] organization(sk2,sk9).
% 1.67/1.85 0 [] organization(sk3,sk10).
% 1.67/1.85 0 [] reorganization_free(sk2,sk9,sk9).
% 1.67/1.85 0 [] reorganization_free(sk3,sk10,sk10).
% 1.67/1.85 0 [] class(sk2,sk4,sk9).
% 1.67/1.85 0 [] class(sk3,sk4,sk10).
% 1.67/1.85 0 [] reproducibility(sk2,sk5,sk9).
% 1.67/1.85 0 [] reproducibility(sk3,sk6,sk10).
% 1.67/1.85 0 [] size(sk2,sk7,sk9).
% 1.67/1.85 0 [] size(sk3,sk8,sk10).
% 1.67/1.85 0 [] greater(sk8,sk7).
% 1.67/1.85 0 [] -greater(sk6,sk5).
% 1.67/1.85 end_of_list.
% 1.67/1.85
% 1.67/1.85 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=10.
% 1.67/1.85
% 1.67/1.85 This is a Horn set without equality. The strategy will
% 1.67/1.85 be hyperresolution, with satellites in sos and nuclei
% 1.67/1.85 in usable.
% 1.67/1.85
% 1.67/1.85 dependent: set(hyper_res).
% 1.67/1.85 dependent: clear(order_hyper).
% 1.67/1.85
% 1.67/1.85 ------------> process usable:
% 1.67/1.85 ** KEPT (pick-wt=9): 1 [] -organization(A,B)|inertia(A,sk1(B,A),B).
% 1.67/1.85 ** KEPT (pick-wt=36): 2 [] -organization(A,B)| -organization(C,D)| -reorganization_free(A,B,B)| -reorganization_free(C,D,D)| -reproducibility(A,E,B)| -reproducibility(C,F,D)| -inertia(A,G,B)| -inertia(C,H,D)| -greater(F,E)|greater(H,G).
% 1.67/1.85 ** KEPT (pick-wt=36): 3 [] -organization(A,B)| -organization(C,D)| -reorganization_free(A,B,B)| -reorganization_free(C,D,D)| -reproducibility(A,E,B)| -reproducibility(C,F,D)| -inertia(A,G,B)| -inertia(C,H,D)| -greater(H,G)|greater(F,E).
% 1.67/1.85 ** KEPT (pick-wt=36): 4 [] -organization(A,B)| -organization(C,D)| -class(A,E,B)| -class(C,E,D)| -size(A,F,B)| -size(C,G,D)| -inertia(A,H,B)| -inertia(C,I,D)| -greater(G,F)|greater(I,H).
% 1.67/1.85 ** KEPT (pick-wt=3): 5 [] -greater(sk6,sk5).
% 1.67/1.85
% 1.67/1.85 ------------> process sos:
% 1.67/1.85 ** KEPT (pick-wt=3): 6 [] organization(sk2,sk9).
% 1.67/1.85 ** KEPT (pick-wt=3): 7 [] organization(sk3,sk10).
% 1.67/1.85 ** KEPT (pick-wt=4): 8 [] reorganization_free(sk2,sk9,sk9).
% 1.67/1.85 ** KEPT (pick-wt=4): 9 [] reorganization_free(sk3,sk10,sk10).
% 1.67/1.85 ** KEPT (pick-wt=4): 10 [] class(sk2,sk4,sk9).
% 1.67/1.85 ** KEPT (pick-wt=4): 11 [] class(sk3,sk4,sk10).
% 1.67/1.85 ** KEPT (pick-wt=4): 12 [] reproducibility(sk2,sk5,sk9).
% 1.67/1.85 ** KEPT (pick-wt=4): 13 [] reproducibility(sk3,sk6,sk10).
% 1.67/1.85 ** KEPT (pick-wt=4): 14 [] size(sk2,sk7,sk9).
% 1.67/1.85 ** KEPT (pick-wt=4): 15 [] size(sk3,sk8,sk10).
% 1.67/1.85 ** KEPT (pick-wt=3): 16 [] greater(sk8,sk7).
% 1.67/1.85
% 1.67/1.85 ======= end of input processing =======
% 1.67/1.85
% 1.67/1.85 =========== start of search ===========
% 1.67/1.85
% 1.67/1.85 -------- PROOF --------
% 1.67/1.85
% 1.67/1.85 ----> UNIT CONFLICT at 0.00 sec ----> 21 [binary,20.1,5.1] $F.
% 1.67/1.85
% 1.67/1.85 Length of proof is 4. Level of proof is 3.
% 1.67/1.85
% 1.67/1.85 ---------------- PROOF ----------------
% 1.67/1.85 % SZS status Unsatisfiable
% 1.67/1.85 % SZS output start Refutation
% See solution above
% 1.67/1.85 ------------ end of proof -------------
% 1.67/1.85
% 1.67/1.85
% 1.67/1.85 Search stopped by max_proofs option.
% 1.67/1.85
% 1.67/1.85
% 1.67/1.85 Search stopped by max_proofs option.
% 1.67/1.85
% 1.67/1.85 ============ end of search ============
% 1.67/1.85
% 1.67/1.85 -------------- statistics -------------
% 1.67/1.85 clauses given 14
% 1.67/1.85 clauses generated 4
% 1.67/1.85 clauses kept 20
% 1.67/1.85 clauses forward subsumed 0
% 1.67/1.85 clauses back subsumed 0
% 1.67/1.85 Kbytes malloced 976
% 1.67/1.85
% 1.67/1.85 ----------- times (seconds) -----------
% 1.67/1.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.85 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.85
% 1.67/1.85 That finishes the proof of the theorem.
% 1.67/1.85
% 1.67/1.85 Process 4085 finished Wed Jul 27 03:59:52 2022
% 1.67/1.85 Otter interrupted
% 1.67/1.85 PROOF FOUND
%------------------------------------------------------------------------------