TSTP Solution File: SYN569-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:24:55 EDT 2022
% Result : Unsatisfiable 3.85s 4.08s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 17 RR)
% Number of literals : 30 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p10(A,B)
| ~ p8(A,B) ),
file('SYN569-1.p',unknown),
[] ).
cnf(4,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN569-1.p',unknown),
[] ).
cnf(5,axiom,
( p2(A,B)
| ~ p9(C,A,D)
| ~ p9(C,B,D) ),
file('SYN569-1.p',unknown),
[] ).
cnf(6,axiom,
( p9(c13,f3(A),A)
| ~ p10(A,c12)
| ~ p10(c11,A) ),
file('SYN569-1.p',unknown),
[] ).
cnf(9,axiom,
( p2(f4(A,B),f4(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN569-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ p8(A,c12)
| ~ p8(c11,A)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(A))) ),
file('SYN569-1.p',unknown),
[] ).
cnf(14,axiom,
p2(A,A),
file('SYN569-1.p',unknown),
[] ).
cnf(16,axiom,
p8(c14,c12),
file('SYN569-1.p',unknown),
[] ).
cnf(18,axiom,
p8(c11,c14),
file('SYN569-1.p',unknown),
[] ).
cnf(19,axiom,
p9(c13,c15,c14),
file('SYN569-1.p',unknown),
[] ).
cnf(20,axiom,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('SYN569-1.p',unknown),
[] ).
cnf(21,plain,
p10(c14,c12),
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(23,plain,
p10(c11,c14),
inference(hyper,[status(thm)],[18,1]),
[iquote('hyper,18,1')] ).
cnf(24,plain,
p9(c13,f3(c14),c14),
inference(hyper,[status(thm)],[23,6,21]),
[iquote('hyper,23,6,21')] ).
cnf(25,plain,
p2(c15,f3(c14)),
inference(hyper,[status(thm)],[24,5,19]),
[iquote('hyper,24,5,19')] ).
cnf(34,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(hyper,[status(thm)],[20,4,14]),
[iquote('hyper,20,4,14')] ).
cnf(44,plain,
p2(f4(A,c15),f4(A,f3(c14))),
inference(hyper,[status(thm)],[25,9,14]),
[iquote('hyper,25,9,14')] ).
cnf(3638,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
inference(hyper,[status(thm)],[34,4,44]),
[iquote('hyper,34,4,44')] ).
cnf(3849,plain,
$false,
inference(hyper,[status(thm)],[3638,13,16,18]),
[iquote('hyper,3638,13,16,18')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 11:33:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.85/4.08 ----- Otter 3.3f, August 2004 -----
% 3.85/4.08 The process was started by sandbox2 on n016.cluster.edu,
% 3.85/4.08 Wed Jul 27 11:33:52 2022
% 3.85/4.08 The command was "./otter". The process ID is 20000.
% 3.85/4.08
% 3.85/4.08 set(prolog_style_variables).
% 3.85/4.08 set(auto).
% 3.85/4.08 dependent: set(auto1).
% 3.85/4.08 dependent: set(process_input).
% 3.85/4.08 dependent: clear(print_kept).
% 3.85/4.08 dependent: clear(print_new_demod).
% 3.85/4.08 dependent: clear(print_back_demod).
% 3.85/4.08 dependent: clear(print_back_sub).
% 3.85/4.08 dependent: set(control_memory).
% 3.85/4.08 dependent: assign(max_mem, 12000).
% 3.85/4.08 dependent: assign(pick_given_ratio, 4).
% 3.85/4.08 dependent: assign(stats_level, 1).
% 3.85/4.08 dependent: assign(max_seconds, 10800).
% 3.85/4.08 clear(print_given).
% 3.85/4.08
% 3.85/4.08 list(usable).
% 3.85/4.08 0 [] p2(X6,X6).
% 3.85/4.08 0 [] p6(X27,X27).
% 3.85/4.08 0 [] p8(c14,c12).
% 3.85/4.08 0 [] p8(c11,c12).
% 3.85/4.08 0 [] p8(c11,c14).
% 3.85/4.08 0 [] p9(c13,c15,c14).
% 3.85/4.08 0 [] p10(X4,X5)| -p8(X4,X5).
% 3.85/4.08 0 [] p2(f3(X13),f3(X14))| -p2(X13,X14).
% 3.85/4.08 0 [] p6(X28,X29)| -p6(X27,X28)| -p6(X27,X29).
% 3.85/4.08 0 [] p2(X7,X8)| -p2(X6,X7)| -p2(X6,X8).
% 3.85/4.08 0 [] p2(X9,X10)| -p9(X11,X9,X12)| -p9(X11,X10,X12).
% 3.85/4.08 0 [] p9(c13,f3(X40),X40)| -p10(X40,c12)| -p10(c11,X40).
% 3.85/4.08 0 [] p10(X0,X1)| -p2(X2,X0)| -p2(X3,X1)| -p10(X2,X3).
% 3.85/4.08 0 [] p8(X30,X31)| -p2(X33,X31)| -p8(X32,X33)| -p2(X32,X30).
% 3.85/4.08 0 [] p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)).
% 3.85/4.08 0 [] p2(f4(X15,X16),f4(X17,X18))| -p2(X15,X17)| -p2(X16,X18).
% 3.85/4.08 0 [] p2(f7(X23,X24),f7(X25,X26))| -p2(X24,X26)| -p6(X23,X25).
% 3.85/4.08 0 [] p2(f5(X19,X20),f5(X21,X22))| -p2(X19,X21)| -p2(X20,X22).
% 3.85/4.08 0 [] p9(X34,X35,X36)| -p2(X37,X35)| -p2(X38,X36)| -p6(X39,X34)| -p9(X39,X37,X38).
% 3.85/4.08 0 [] -p8(X41,c12)| -p8(c11,X41)| -p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41))).
% 3.85/4.08 end_of_list.
% 3.85/4.08
% 3.85/4.08 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 3.85/4.08
% 3.85/4.08 This is a Horn set without equality. The strategy will
% 3.85/4.08 be hyperresolution, with satellites in sos and nuclei
% 3.85/4.08 in usable.
% 3.85/4.08
% 3.85/4.08 dependent: set(hyper_res).
% 3.85/4.08 dependent: clear(order_hyper).
% 3.85/4.08
% 3.85/4.08 ------------> process usable:
% 3.85/4.08 ** KEPT (pick-wt=6): 1 [] p10(A,B)| -p8(A,B).
% 3.85/4.08 ** KEPT (pick-wt=8): 2 [] p2(f3(A),f3(B))| -p2(A,B).
% 3.85/4.08 ** KEPT (pick-wt=9): 3 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 3.85/4.08 ** KEPT (pick-wt=9): 4 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 3.85/4.08 ** KEPT (pick-wt=11): 5 [] p2(A,B)| -p9(C,A,D)| -p9(C,B,D).
% 3.85/4.08 ** KEPT (pick-wt=11): 6 [] p9(c13,f3(A),A)| -p10(A,c12)| -p10(c11,A).
% 3.85/4.08 ** KEPT (pick-wt=12): 7 [] p10(A,B)| -p2(C,A)| -p2(D,B)| -p10(C,D).
% 3.85/4.08 ** KEPT (pick-wt=12): 8 [] p8(A,B)| -p2(C,B)| -p8(D,C)| -p2(D,A).
% 3.85/4.08 ** KEPT (pick-wt=13): 9 [] p2(f4(A,B),f4(C,D))| -p2(A,C)| -p2(B,D).
% 3.85/4.08 ** KEPT (pick-wt=13): 10 [] p2(f7(A,B),f7(C,D))| -p2(B,D)| -p6(A,C).
% 3.85/4.08 ** KEPT (pick-wt=13): 11 [] p2(f5(A,B),f5(C,D))| -p2(A,C)| -p2(B,D).
% 3.85/4.08 ** KEPT (pick-wt=17): 12 [] p9(A,B,C)| -p2(D,B)| -p2(E,C)| -p6(F,A)| -p9(F,D,E).
% 3.85/4.08 ** KEPT (pick-wt=20): 13 [] -p8(A,c12)| -p8(c11,A)| -p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(A))).
% 3.85/4.08
% 3.85/4.08 ------------> process sos:
% 3.85/4.08 ** KEPT (pick-wt=3): 14 [] p2(A,A).
% 3.85/4.08 ** KEPT (pick-wt=3): 15 [] p6(A,A).
% 3.85/4.08 ** KEPT (pick-wt=3): 16 [] p8(c14,c12).
% 3.85/4.08 ** KEPT (pick-wt=3): 17 [] p8(c11,c12).
% 3.85/4.08 ** KEPT (pick-wt=3): 18 [] p8(c11,c14).
% 3.85/4.08 ** KEPT (pick-wt=4): 19 [] p9(c13,c15,c14).
% 3.85/4.08 ** KEPT (pick-wt=13): 20 [] p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)).
% 3.85/4.08
% 3.85/4.08 ======= end of input processing =======
% 3.85/4.08
% 3.85/4.08 =========== start of search ===========
% 3.85/4.08
% 3.85/4.08
% 3.85/4.08 Resetting weight limit to 13.
% 3.85/4.08
% 3.85/4.08
% 3.85/4.08 Resetting weight limit to 13.
% 3.85/4.08
% 3.85/4.08 sos_size=3743
% 3.85/4.08
% 3.85/4.08 -------- PROOF --------
% 3.85/4.08
% 3.85/4.08 -----> EMPTY CLAUSE at 2.19 sec ----> 3849 [hyper,3638,13,16,18] $F.
% 3.85/4.08
% 3.85/4.08 Length of proof is 7. Level of proof is 5.
% 3.85/4.08
% 3.85/4.08 ---------------- PROOF ----------------
% 3.85/4.08 % SZS status Unsatisfiable
% 3.85/4.08 % SZS output start Refutation
% See solution above
% 3.85/4.08 ------------ end of proof -------------
% 3.85/4.08
% 3.85/4.08
% 3.85/4.08 Search stopped by max_proofs option.
% 3.85/4.08
% 3.85/4.08
% 3.85/4.08 Search stopped by max_proofs option.
% 3.85/4.08
% 3.85/4.08 ============ end of search ============
% 3.85/4.08
% 3.85/4.08 -------------- statistics -------------
% 3.85/4.08 clauses given 533
% 3.85/4.08 clauses generated 559585
% 3.85/4.08 clauses kept 3848
% 3.85/4.08 clauses forward subsumed 2821
% 3.85/4.08 clauses back subsumed 2
% 3.85/4.08 Kbytes malloced 5859
% 3.85/4.08
% 3.85/4.08 ----------- times (seconds) -----------
% 3.85/4.08 user CPU time 2.19 (0 hr, 0 min, 2 sec)
% 3.85/4.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.85/4.08 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.85/4.08
% 3.85/4.08 That finishes the proof of the theorem.
% 3.85/4.08
% 3.85/4.08 Process 20000 finished Wed Jul 27 11:33:56 2022
% 3.85/4.08 Otter interrupted
% 3.85/4.08 PROOF FOUND
%------------------------------------------------------------------------------