TSTP Solution File: SYN600-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN600-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:24:59 EDT 2022
% Result : Unsatisfiable 3.19s 3.37s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 19 RR)
% Number of literals : 35 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 12 ( 4 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('SYN600-1.p',unknown),
[] ).
cnf(10,axiom,
( p7(f15(A),f15(B))
| ~ p7(A,B) ),
file('SYN600-1.p',unknown),
[] ).
cnf(14,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN600-1.p',unknown),
[] ).
cnf(15,axiom,
( p17(A,B)
| ~ p7(C,A)
| ~ p7(D,B)
| ~ p17(C,D) ),
file('SYN600-1.p',unknown),
[] ).
cnf(16,axiom,
( p18(A,B)
| ~ p7(C,A)
| ~ p7(D,B)
| ~ p18(C,D) ),
file('SYN600-1.p',unknown),
[] ).
cnf(20,axiom,
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A)))
| ~ p19(A) ),
file('SYN600-1.p',unknown),
[] ).
cnf(21,axiom,
( p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(A) ),
file('SYN600-1.p',unknown),
[] ).
cnf(22,axiom,
( p3(f4(f6(A)),B)
| ~ p19(A)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A)))
| ~ p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('SYN600-1.p',unknown),
[] ).
cnf(23,axiom,
p19(c21),
file('SYN600-1.p',unknown),
[] ).
cnf(24,axiom,
p19(c22),
file('SYN600-1.p',unknown),
[] ).
cnf(26,axiom,
p7(A,A),
file('SYN600-1.p',unknown),
[] ).
cnf(28,axiom,
p3(A,A),
file('SYN600-1.p',unknown),
[] ).
cnf(29,axiom,
p7(f16(c21),f16(c22)),
file('SYN600-1.p',unknown),
[] ).
cnf(30,plain,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(hyper,[status(thm)],[23,21]),
[iquote('hyper,23,21')] ).
cnf(31,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),
inference(hyper,[status(thm)],[23,20]),
[iquote('hyper,23,20')] ).
cnf(42,plain,
p7(f15(f16(c21)),f15(f16(c22))),
inference(hyper,[status(thm)],[29,10]),
[iquote('hyper,29,10')] ).
cnf(91,plain,
p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(hyper,[status(thm)],[30,15,42,26]),
[iquote('hyper,30,15,42,26')] ).
cnf(212,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))),
inference(hyper,[status(thm)],[31,16,26,42]),
[iquote('hyper,31,16,26,42')] ).
cnf(3970,plain,
p3(f4(f6(c22)),f4(f6(c21))),
inference(hyper,[status(thm)],[212,22,24,91]),
[iquote('hyper,212,22,24,91')] ).
cnf(3976,plain,
p3(f4(f6(c21)),f4(f6(c22))),
inference(hyper,[status(thm)],[3970,14,28]),
[iquote('hyper,3970,14,28')] ).
cnf(3977,plain,
$false,
inference(binary,[status(thm)],[3976,1]),
[iquote('binary,3976.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN600-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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 11:06:55 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.72/1.91 ----- Otter 3.3f, August 2004 -----
% 1.72/1.91 The process was started by sandbox on n024.cluster.edu,
% 1.72/1.91 Wed Jul 27 11:06:55 2022
% 1.72/1.91 The command was "./otter". The process ID is 26932.
% 1.72/1.91
% 1.72/1.91 set(prolog_style_variables).
% 1.72/1.91 set(auto).
% 1.72/1.91 dependent: set(auto1).
% 1.72/1.91 dependent: set(process_input).
% 1.72/1.91 dependent: clear(print_kept).
% 1.72/1.91 dependent: clear(print_new_demod).
% 1.72/1.91 dependent: clear(print_back_demod).
% 1.72/1.91 dependent: clear(print_back_sub).
% 1.72/1.91 dependent: set(control_memory).
% 1.72/1.91 dependent: assign(max_mem, 12000).
% 1.72/1.91 dependent: assign(pick_given_ratio, 4).
% 1.72/1.91 dependent: assign(stats_level, 1).
% 1.72/1.91 dependent: assign(max_seconds, 10800).
% 1.72/1.91 clear(print_given).
% 1.72/1.91
% 1.72/1.91 list(usable).
% 1.72/1.91 0 [] p19(c21).
% 1.72/1.91 0 [] p19(c22).
% 1.72/1.91 0 [] p2(X11,X11).
% 1.72/1.91 0 [] p7(X32,X32).
% 1.72/1.91 0 [] p5(X29,X29).
% 1.72/1.91 0 [] p3(X16,X16).
% 1.72/1.91 0 [] p7(f16(c21),f16(c22)).
% 1.72/1.91 0 [] -p3(f4(f6(c21)),f4(f6(c22))).
% 1.72/1.91 0 [] p19(X9)| -p19(X10)| -p5(X10,X9).
% 1.72/1.91 0 [] p7(f16(X43),f16(X44))| -p5(X43,X44).
% 1.72/1.91 0 [] p2(f6(X14),f6(X15))| -p5(X14,X15).
% 1.72/1.91 0 [] p3(f11(X19),f11(X20))| -p3(X19,X20).
% 1.72/1.91 0 [] p3(f12(X21),f12(X22))| -p3(X21,X22).
% 1.72/1.91 0 [] p3(f14(X23),f14(X24))| -p3(X23,X24).
% 1.72/1.91 0 [] p3(f4(X25),f4(X26))| -p2(X25,X26).
% 1.72/1.91 0 [] p7(f13(X39),f13(X40))| -p3(X39,X40).
% 1.72/1.91 0 [] p7(f15(X41),f15(X42))| -p7(X41,X42).
% 1.72/1.91 0 [] p2(X12,X13)| -p2(X11,X12)| -p2(X11,X13).
% 1.72/1.91 0 [] p7(X33,X34)| -p7(X32,X33)| -p7(X32,X34).
% 1.72/1.91 0 [] p5(X30,X31)| -p5(X29,X30)| -p5(X29,X31).
% 1.72/1.91 0 [] p3(X17,X18)| -p3(X16,X17)| -p3(X16,X18).
% 1.72/1.91 0 [] p17(X0,X1)| -p7(X2,X0)| -p7(X3,X1)| -p17(X2,X3).
% 1.72/1.91 0 [] p18(X5,X6)| -p7(X7,X5)| -p7(X8,X6)| -p18(X7,X8).
% 1.72/1.91 0 [] p7(f9(X49,X50),f9(X51,X52))| -p7(X50,X52)| -p7(X49,X51).
% 1.72/1.91 0 [] p7(f10(X35,X36),f10(X37,X38))| -p3(X36,X38)| -p7(X35,X37).
% 1.72/1.91 0 [] p7(f8(X45,X46),f8(X47,X48))| -p7(X45,X47)| -p7(X46,X48).
% 1.72/1.91 0 [] p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4)))| -p19(X4).
% 1.72/1.91 0 [] p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))| -p19(X4).
% 1.72/1.91 0 [] p3(f4(f6(X27)),X28)| -p19(X27)| -p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))| -p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))).
% 1.72/1.91 end_of_list.
% 1.72/1.91
% 1.72/1.91 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.72/1.91
% 1.72/1.91 This is a Horn set without equality. The strategy will
% 1.72/1.91 be hyperresolution, with satellites in sos and nuclei
% 1.72/1.91 in usable.
% 1.72/1.91
% 1.72/1.91 dependent: set(hyper_res).
% 1.72/1.91 dependent: clear(order_hyper).
% 1.72/1.91
% 1.72/1.91 ------------> process usable:
% 1.72/1.91 ** KEPT (pick-wt=7): 1 [] -p3(f4(f6(c21)),f4(f6(c22))).
% 1.72/1.91 ** KEPT (pick-wt=7): 2 [] p19(A)| -p19(B)| -p5(B,A).
% 1.72/1.91 ** KEPT (pick-wt=8): 3 [] p7(f16(A),f16(B))| -p5(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 4 [] p2(f6(A),f6(B))| -p5(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 5 [] p3(f11(A),f11(B))| -p3(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 6 [] p3(f12(A),f12(B))| -p3(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 7 [] p3(f14(A),f14(B))| -p3(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 8 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 9 [] p7(f13(A),f13(B))| -p3(A,B).
% 1.72/1.91 ** KEPT (pick-wt=8): 10 [] p7(f15(A),f15(B))| -p7(A,B).
% 1.72/1.91 ** KEPT (pick-wt=9): 11 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.72/1.91 ** KEPT (pick-wt=9): 12 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.72/1.91 ** KEPT (pick-wt=9): 13 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.72/1.91 ** KEPT (pick-wt=9): 14 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.72/1.91 ** KEPT (pick-wt=12): 15 [] p17(A,B)| -p7(C,A)| -p7(D,B)| -p17(C,D).
% 1.72/1.91 ** KEPT (pick-wt=12): 16 [] p18(A,B)| -p7(C,A)| -p7(D,B)| -p18(C,D).
% 1.72/1.91 ** KEPT (pick-wt=13): 17 [] p7(f9(A,B),f9(C,D))| -p7(B,D)| -p7(A,C).
% 1.72/1.91 ** KEPT (pick-wt=13): 18 [] p7(f10(A,B),f10(C,D))| -p3(B,D)| -p7(A,C).
% 1.72/1.91 ** KEPT (pick-wt=13): 19 [] p7(f8(A,B),f8(C,D))| -p7(A,C)| -p7(B,D).
% 1.72/1.91 ** KEPT (pick-wt=31): 20 [] p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A)))| -p19(A).
% 1.72/1.91 ** KEPT (pick-wt=37): 21 [] p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))| -p19(A).
% 3.19/3.37 ** KEPT (pick-wt=67): 22 [] p3(f4(f6(A)),B)| -p19(A)| -p18(f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A)))| -p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))).
% 3.19/3.37
% 3.19/3.37 ------------> process sos:
% 3.19/3.37 ** KEPT (pick-wt=2): 23 [] p19(c21).
% 3.19/3.37 ** KEPT (pick-wt=2): 24 [] p19(c22).
% 3.19/3.37 ** KEPT (pick-wt=3): 25 [] p2(A,A).
% 3.19/3.37 ** KEPT (pick-wt=3): 26 [] p7(A,A).
% 3.19/3.37 ** KEPT (pick-wt=3): 27 [] p5(A,A).
% 3.19/3.37 ** KEPT (pick-wt=3): 28 [] p3(A,A).
% 3.19/3.37 ** KEPT (pick-wt=5): 29 [] p7(f16(c21),f16(c22)).
% 3.19/3.37
% 3.19/3.37 ======= end of input processing =======
% 3.19/3.37
% 3.19/3.37 =========== start of search ===========
% 3.19/3.37
% 3.19/3.37
% 3.19/3.37 Resetting weight limit to 15.
% 3.19/3.37
% 3.19/3.37
% 3.19/3.37 Resetting weight limit to 15.
% 3.19/3.37
% 3.19/3.37 sos_size=3743
% 3.19/3.37
% 3.19/3.37 -------- PROOF --------
% 3.19/3.37
% 3.19/3.37 ----> UNIT CONFLICT at 1.46 sec ----> 3977 [binary,3976.1,1.1] $F.
% 3.19/3.37
% 3.19/3.37 Length of proof is 7. Level of proof is 4.
% 3.19/3.37
% 3.19/3.37 ---------------- PROOF ----------------
% 3.19/3.37 % SZS status Unsatisfiable
% 3.19/3.37 % SZS output start Refutation
% See solution above
% 3.19/3.38 ------------ end of proof -------------
% 3.19/3.38
% 3.19/3.38
% 3.19/3.38 Search stopped by max_proofs option.
% 3.19/3.38
% 3.19/3.38
% 3.19/3.38 Search stopped by max_proofs option.
% 3.19/3.38
% 3.19/3.38 ============ end of search ============
% 3.19/3.38
% 3.19/3.38 -------------- statistics -------------
% 3.19/3.38 clauses given 462
% 3.19/3.38 clauses generated 419052
% 3.19/3.38 clauses kept 3976
% 3.19/3.38 clauses forward subsumed 2775
% 3.19/3.38 clauses back subsumed 0
% 3.19/3.38 Kbytes malloced 6835
% 3.19/3.38
% 3.19/3.38 ----------- times (seconds) -----------
% 3.19/3.38 user CPU time 1.46 (0 hr, 0 min, 1 sec)
% 3.19/3.38 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.19/3.38 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.19/3.38
% 3.19/3.38 That finishes the proof of the theorem.
% 3.19/3.38
% 3.19/3.38 Process 26932 finished Wed Jul 27 11:06:58 2022
% 3.19/3.38 Otter interrupted
% 3.19/3.38 PROOF FOUND
%------------------------------------------------------------------------------