TSTP Solution File: MGT006-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 1.58s 2.13s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 19 RR)
% Number of literals : 45 ( 0 equ; 27 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
file('MGT006-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(F,E) ),
file('MGT006-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(H,G) ),
file('MGT006-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file('MGT006-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ greater(sk4,sk3)
| ~ greater(sk6,sk5) ),
file('MGT006-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk2,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(8,axiom,
organization(sk2,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(9,axiom,
reorganization_free(sk2,sk7,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(10,axiom,
reliability(sk2,sk3,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(11,axiom,
reliability(sk2,sk4,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(12,axiom,
accountability(sk2,sk5,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(13,axiom,
accountability(sk2,sk6,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(14,axiom,
greater(sk8,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(15,plain,
reproducibility(sk2,sk1(sk7,sk2),sk7),
inference(hyper,[status(thm)],[7,1]),
[iquote('hyper,7,1')] ).
cnf(16,plain,
reproducibility(sk2,sk1(sk8,sk2),sk8),
inference(hyper,[status(thm)],[8,1]),
[iquote('hyper,8,1')] ).
cnf(17,plain,
greater(sk1(sk8,sk2),sk1(sk7,sk2)),
inference(hyper,[status(thm)],[16,5,7,8,9,15,14]),
[iquote('hyper,16,5,7,8,9,15,14')] ).
cnf(18,plain,
greater(sk6,sk5),
inference(hyper,[status(thm)],[17,3,7,8,10,11,12,13,15,16]),
[iquote('hyper,17,3,7,8,10,11,12,13,15,16')] ).
cnf(19,plain,
greater(sk4,sk3),
inference(hyper,[status(thm)],[17,2,7,8,10,11,12,13,15,16]),
[iquote('hyper,17,2,7,8,10,11,12,13,15,16')] ).
cnf(20,plain,
$false,
inference(hyper,[status(thm)],[19,6,18]),
[iquote('hyper,19,6,18')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 04:02:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.58/2.13 ----- Otter 3.3f, August 2004 -----
% 1.58/2.13 The process was started by sandbox2 on n020.cluster.edu,
% 1.58/2.13 Wed Jul 27 04:02:23 2022
% 1.58/2.13 The command was "./otter". The process ID is 29785.
% 1.58/2.13
% 1.58/2.13 set(prolog_style_variables).
% 1.58/2.13 set(auto).
% 1.58/2.13 dependent: set(auto1).
% 1.58/2.13 dependent: set(process_input).
% 1.58/2.13 dependent: clear(print_kept).
% 1.58/2.13 dependent: clear(print_new_demod).
% 1.58/2.13 dependent: clear(print_back_demod).
% 1.58/2.13 dependent: clear(print_back_sub).
% 1.58/2.13 dependent: set(control_memory).
% 1.58/2.13 dependent: assign(max_mem, 12000).
% 1.58/2.13 dependent: assign(pick_given_ratio, 4).
% 1.58/2.13 dependent: assign(stats_level, 1).
% 1.58/2.13 dependent: assign(max_seconds, 10800).
% 1.58/2.13 clear(print_given).
% 1.58/2.13
% 1.58/2.13 list(usable).
% 1.58/2.13 0 [] -organization(A,B)|reproducibility(A,sk1(B,A),B).
% 1.58/2.13 0 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(J,I)|greater(F,E).
% 1.58/2.13 0 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(J,I)|greater(H,G).
% 1.58/2.13 0 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(F,E)| -greater(H,G)|greater(J,I).
% 1.58/2.13 0 [] -organization(A,B)| -organization(A,C)| -reorganization_free(A,B,C)| -reproducibility(A,D,B)| -reproducibility(A,E,C)| -greater(C,B)|greater(E,D).
% 1.58/2.13 0 [] organization(sk2,sk7).
% 1.58/2.13 0 [] organization(sk2,sk8).
% 1.58/2.13 0 [] reorganization_free(sk2,sk7,sk8).
% 1.58/2.13 0 [] reliability(sk2,sk3,sk7).
% 1.58/2.13 0 [] reliability(sk2,sk4,sk8).
% 1.58/2.13 0 [] accountability(sk2,sk5,sk7).
% 1.58/2.13 0 [] accountability(sk2,sk6,sk8).
% 1.58/2.13 0 [] greater(sk8,sk7).
% 1.58/2.13 0 [] -greater(sk4,sk3)| -greater(sk6,sk5).
% 1.58/2.13 end_of_list.
% 1.58/2.13
% 1.58/2.13 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=11.
% 1.58/2.13
% 1.58/2.13 This is a Horn set without equality. The strategy will
% 1.58/2.13 be hyperresolution, with satellites in sos and nuclei
% 1.58/2.13 in usable.
% 1.58/2.13
% 1.58/2.13 dependent: set(hyper_res).
% 1.58/2.13 dependent: clear(order_hyper).
% 1.58/2.13
% 1.58/2.13 ------------> process usable:
% 1.58/2.13 ** KEPT (pick-wt=9): 1 [] -organization(A,B)|reproducibility(A,sk1(B,A),B).
% 1.58/2.13 ** KEPT (pick-wt=36): 2 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(J,I)|greater(F,E).
% 1.58/2.13 ** KEPT (pick-wt=36): 3 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(J,I)|greater(H,G).
% 1.58/2.13 ** KEPT (pick-wt=39): 4 [] -organization(A,B)| -organization(C,D)| -reliability(A,E,B)| -reliability(C,F,D)| -accountability(A,G,B)| -accountability(C,H,D)| -reproducibility(A,I,B)| -reproducibility(C,J,D)| -greater(F,E)| -greater(H,G)|greater(J,I).
% 1.58/2.13 ** KEPT (pick-wt=24): 5 [] -organization(A,B)| -organization(A,C)| -reorganization_free(A,B,C)| -reproducibility(A,D,B)| -reproducibility(A,E,C)| -greater(C,B)|greater(E,D).
% 1.58/2.13 ** KEPT (pick-wt=6): 6 [] -greater(sk4,sk3)| -greater(sk6,sk5).
% 1.58/2.13
% 1.58/2.13 ------------> process sos:
% 1.58/2.13 ** KEPT (pick-wt=3): 7 [] organization(sk2,sk7).
% 1.58/2.13 ** KEPT (pick-wt=3): 8 [] organization(sk2,sk8).
% 1.58/2.13 ** KEPT (pick-wt=4): 9 [] reorganization_free(sk2,sk7,sk8).
% 1.58/2.13 ** KEPT (pick-wt=4): 10 [] reliability(sk2,sk3,sk7).
% 1.58/2.13 ** KEPT (pick-wt=4): 11 [] reliability(sk2,sk4,sk8).
% 1.58/2.13 ** KEPT (pick-wt=4): 12 [] accountability(sk2,sk5,sk7).
% 1.58/2.13 ** KEPT (pick-wt=4): 13 [] accountability(sk2,sk6,sk8).
% 1.58/2.13 ** KEPT (pick-wt=3): 14 [] greater(sk8,sk7).
% 1.58/2.13
% 1.58/2.13 ======= end of input processing =======
% 1.58/2.13
% 1.58/2.13 =========== start of search ===========
% 1.58/2.13
% 1.58/2.13 -------- PROOF --------
% 1.58/2.13
% 1.58/2.13 -----> EMPTY CLAUSE at 0.00 sec ----> 20 [hyper,19,6,18] $F.
% 1.58/2.13
% 1.58/2.13 Length of proof is 5. Level of proof is 3.
% 1.58/2.13
% 1.58/2.13 ---------------- PROOF ----------------
% 1.58/2.13 % SZS status Unsatisfiable
% 1.58/2.13 % SZS output start Refutation
% See solution above
% 1.58/2.13 ------------ end of proof -------------
% 1.58/2.13
% 1.58/2.13
% 1.58/2.13 Search stopped by max_proofs option.
% 1.58/2.13
% 1.58/2.13
% 1.58/2.13 Search stopped by max_proofs option.
% 1.58/2.13
% 1.58/2.13 ============ end of search ============
% 1.58/2.13
% 1.58/2.13 -------------- statistics -------------
% 1.58/2.13 clauses given 13
% 1.58/2.13 clauses generated 6
% 1.58/2.13 clauses kept 19
% 1.58/2.13 clauses forward subsumed 0
% 1.58/2.13 clauses back subsumed 0
% 1.58/2.13 Kbytes malloced 976
% 1.58/2.13
% 1.58/2.13 ----------- times (seconds) -----------
% 1.58/2.13 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/2.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/2.13 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.58/2.13
% 1.58/2.13 That finishes the proof of the theorem.
% 1.58/2.13
% 1.58/2.13 Process 29785 finished Wed Jul 27 04:02:25 2022
% 1.58/2.13 Otter interrupted
% 1.58/2.13 PROOF FOUND
%------------------------------------------------------------------------------