TSTP Solution File: SYN640-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN640-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:25:02 EDT 2022
% Result : Unsatisfiable 2.47s 2.70s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p20(f17(c25),f17(c22)),
file('SYN640-1.p',unknown),
[] ).
cnf(16,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN640-1.p',unknown),
[] ).
cnf(18,axiom,
( p19(A,B)
| ~ p2(C,A)
| ~ p2(D,B)
| ~ p19(C,D) ),
file('SYN640-1.p',unknown),
[] ).
cnf(23,axiom,
( p20(f17(A),f17(B))
| ~ p2(f12(f11(B)),f7(c24))
| ~ p2(f12(f11(A)),f7(c24))
| ~ p19(f13(f11(A)),f13(f11(B))) ),
file('SYN640-1.p',unknown),
[] ).
cnf(29,axiom,
p2(A,A),
file('SYN640-1.p',unknown),
[] ).
cnf(31,axiom,
p2(f12(f11(c25)),f7(c24)),
file('SYN640-1.p',unknown),
[] ).
cnf(32,axiom,
p2(f12(f11(c22)),f7(c24)),
file('SYN640-1.p',unknown),
[] ).
cnf(34,axiom,
p19(f13(f11(c23)),f13(f11(c22))),
file('SYN640-1.p',unknown),
[] ).
cnf(35,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN640-1.p',unknown),
[] ).
cnf(36,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN640-1.p',unknown),
[] ).
cnf(162,plain,
p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(hyper,[status(thm)],[35,18,29,34]),
[iquote('hyper,35,18,29,34')] ).
cnf(299,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(hyper,[status(thm)],[36,16,29]),
[iquote('hyper,36,16,29')] ).
cnf(4880,plain,
p19(f13(f11(c25)),f13(f11(c22))),
inference(hyper,[status(thm)],[299,18,29,162]),
[iquote('hyper,299,18,29,162')] ).
cnf(4883,plain,
p20(f17(c25),f17(c22)),
inference(hyper,[status(thm)],[4880,23,32,31]),
[iquote('hyper,4880,23,32,31')] ).
cnf(4884,plain,
$false,
inference(binary,[status(thm)],[4883,1]),
[iquote('binary,4883.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN640-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 11:11:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.96 ----- Otter 3.3f, August 2004 -----
% 1.74/1.96 The process was started by sandbox on n012.cluster.edu,
% 1.74/1.96 Wed Jul 27 11:11:05 2022
% 1.74/1.96 The command was "./otter". The process ID is 9841.
% 1.74/1.96
% 1.74/1.96 set(prolog_style_variables).
% 1.74/1.96 set(auto).
% 1.74/1.96 dependent: set(auto1).
% 1.74/1.96 dependent: set(process_input).
% 1.74/1.96 dependent: clear(print_kept).
% 1.74/1.96 dependent: clear(print_new_demod).
% 1.74/1.96 dependent: clear(print_back_demod).
% 1.74/1.96 dependent: clear(print_back_sub).
% 1.74/1.96 dependent: set(control_memory).
% 1.74/1.96 dependent: assign(max_mem, 12000).
% 1.74/1.96 dependent: assign(pick_given_ratio, 4).
% 1.74/1.96 dependent: assign(stats_level, 1).
% 1.74/1.96 dependent: assign(max_seconds, 10800).
% 1.74/1.96 clear(print_given).
% 1.74/1.96
% 1.74/1.96 list(usable).
% 1.74/1.96 0 [] p18(c22).
% 1.74/1.96 0 [] p10(X0,X0).
% 1.74/1.96 0 [] p4(X48,X48).
% 1.74/1.96 0 [] p3(X41,X41).
% 1.74/1.96 0 [] p2(X16,X16).
% 1.74/1.96 0 [] p16(X5,X5).
% 1.74/1.96 0 [] -p20(f17(c25),f17(c22)).
% 1.74/1.96 0 [] -p20(f17(c22),f17(c23)).
% 1.74/1.96 0 [] p2(f12(f11(c25)),f7(c24)).
% 1.74/1.96 0 [] p2(f12(f11(c22)),f7(c24)).
% 1.74/1.96 0 [] p2(f12(f11(c23)),f7(c24)).
% 1.74/1.96 0 [] p19(f13(f11(c23)),f13(f11(c22))).
% 1.74/1.96 0 [] p18(X10)| -p18(X11)| -p10(X11,X10).
% 1.74/1.96 0 [] p4(f11(X51),f11(X52))| -p10(X51,X52).
% 1.74/1.96 0 [] p10(f15(X3),f15(X4))| -p4(X3,X4).
% 1.74/1.96 0 [] p16(f17(X8),f17(X9))| -p10(X8,X9).
% 1.74/1.96 0 [] p2(f12(X19),f12(X20))| -p4(X19,X20).
% 1.74/1.96 0 [] p2(f13(X21),f13(X22))| -p4(X21,X22).
% 1.74/1.96 0 [] p2(f14(X23),f14(X24))| -p4(X23,X24).
% 1.74/1.96 0 [] p2(f7(X25),f7(X26))| -p2(X25,X26).
% 1.74/1.96 0 [] p2(f8(X27),f8(X28))| -p2(X27,X28).
% 1.74/1.96 0 [] p2(f9(X29),f9(X30))| -p2(X29,X30).
% 1.74/1.96 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.74/1.96 0 [] p4(X49,X50)| -p4(X48,X49)| -p4(X48,X50).
% 1.74/1.96 0 [] p3(X42,X43)| -p3(X41,X42)| -p3(X41,X43).
% 1.74/1.96 0 [] p2(X17,X18)| -p2(X16,X17)| -p2(X16,X18).
% 1.74/1.96 0 [] p16(X6,X7)| -p16(X5,X6)| -p16(X5,X7).
% 1.74/1.96 0 [] p19(X12,X13)| -p2(X14,X12)| -p2(X15,X13)| -p19(X14,X15).
% 1.74/1.96 0 [] p21(X37,X38)| -p2(X40,X38)| -p21(X39,X40)| -p2(X39,X37).
% 1.74/1.96 0 [] p20(X31,X32)| -p16(X34,X32)| -p20(X33,X34)| -p16(X33,X31).
% 1.74/1.96 0 [] p4(f5(X53,X54),f5(X55,X56))| -p2(X53,X55)| -p3(X54,X56).
% 1.74/1.96 0 [] p3(f6(X44,X45),f6(X46,X47))| -p2(X44,X46)| -p2(X45,X47).
% 1.74/1.96 0 [] p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))).
% 1.74/1.96 0 [] p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))).
% 1.74/1.96 0 [] p20(f17(X35),f17(X36))| -p2(f12(f11(X36)),f7(c24))| -p2(f12(f11(X35)),f7(c24))| -p19(f13(f11(X35)),f13(f11(X36))).
% 1.74/1.96 0 [] p2(f14(f11(c23)),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))).
% 1.74/1.96 0 [] p2(f14(f11(c25)),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))).
% 1.74/1.96 0 [] p20(f17(X35),f17(X36))| -p2(f12(f11(X35)),f7(c24))| -p2(f12(f11(X36)),f7(c24))| -p2(f13(f11(X35)),f13(f11(X36)))| -p21(f14(f11(X35)),f14(f11(X36))).
% 1.74/1.96 0 [] p4(f11(c25),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))).
% 1.74/1.96 0 [] p4(f11(c23),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))).
% 1.74/1.96 0 [] p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c23).
% 1.74/1.96 0 [] p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c25).
% 1.74/1.96 end_of_list.
% 1.74/1.96
% 1.74/1.96 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 1.74/1.96
% 1.74/1.96 This is a Horn set without equality. The strategy will
% 1.74/1.96 be hyperresolution, with satellites in sos and nuclei
% 1.74/1.96 in usable.
% 1.74/1.96
% 1.74/1.96 dependent: set(hyper_res).
% 1.74/1.96 dependent: clear(order_hyper).
% 1.74/1.96
% 1.74/1.96 ------------> process usable:
% 1.74/1.96 ** KEPT (pick-wt=5): 1 [] -p20(f17(c25),f17(c22)).
% 1.74/1.96 ** KEPT (pick-wt=5): 2 [] -p20(f17(c22),f17(c23)).
% 1.74/1.96 ** KEPT (pick-wt=7): 3 [] p18(A)| -p18(B)| -p10(B,A).
% 1.74/1.96 ** KEPT (pick-wt=8): 4 [] p4(f11(A),f11(B))| -p10(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 5 [] p10(f15(A),f15(B))| -p4(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 6 [] p16(f17(A),f17(B))| -p10(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 7 [] p2(f12(A),f12(B))| -p4(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 8 [] p2(f13(A),f13(B))| -p4(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 9 [] p2(f14(A),f14(B))| -p4(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 10 [] p2(f7(A),f7(B))| -p2(A,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 11 [] p2(f8(A),f8(B))| -p2(A,B).
% 2.47/2.70 ** KEPT (pick-wt=8): 12 [] p2(f9(A),f9(B))| -p2(A,B).
% 2.47/2.70 ** KEPT (pick-wt=9): 13 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 2.47/2.70 ** KEPT (pick-wt=9): 14 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.47/2.70 ** KEPT (pick-wt=9): 15 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 2.47/2.70 ** KEPT (pick-wt=9): 16 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.47/2.70 ** KEPT (pick-wt=9): 17 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 2.47/2.70 ** KEPT (pick-wt=12): 18 [] p19(A,B)| -p2(C,A)| -p2(D,B)| -p19(C,D).
% 2.47/2.70 ** KEPT (pick-wt=12): 19 [] p21(A,B)| -p2(C,B)| -p21(D,C)| -p2(D,A).
% 2.47/2.70 ** KEPT (pick-wt=12): 20 [] p20(A,B)| -p16(C,B)| -p20(D,C)| -p16(D,A).
% 2.47/2.70 ** KEPT (pick-wt=13): 21 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 2.47/2.70 ** KEPT (pick-wt=13): 22 [] p3(f6(A,B),f6(C,D))| -p2(A,C)| -p2(B,D).
% 2.47/2.70 ** KEPT (pick-wt=24): 23 [] p20(f17(A),f17(B))| -p2(f12(f11(B)),f7(c24))| -p2(f12(f11(A)),f7(c24))| -p19(f13(f11(A)),f13(f11(B))).
% 2.47/2.70 ** KEPT (pick-wt=31): 24 [] p20(f17(A),f17(B))| -p2(f12(f11(A)),f7(c24))| -p2(f12(f11(B)),f7(c24))| -p2(f13(f11(A)),f13(f11(B)))| -p21(f14(f11(A)),f14(f11(B))).
% 2.47/2.70
% 2.47/2.70 ------------> process sos:
% 2.47/2.70 ** KEPT (pick-wt=2): 25 [] p18(c22).
% 2.47/2.70 ** KEPT (pick-wt=3): 26 [] p10(A,A).
% 2.47/2.70 ** KEPT (pick-wt=3): 27 [] p4(A,A).
% 2.47/2.70 ** KEPT (pick-wt=3): 28 [] p3(A,A).
% 2.47/2.70 ** KEPT (pick-wt=3): 29 [] p2(A,A).
% 2.47/2.70 ** KEPT (pick-wt=3): 30 [] p16(A,A).
% 2.47/2.70 ** KEPT (pick-wt=6): 31 [] p2(f12(f11(c25)),f7(c24)).
% 2.47/2.70 ** KEPT (pick-wt=6): 32 [] p2(f12(f11(c22)),f7(c24)).
% 2.47/2.70 ** KEPT (pick-wt=6): 33 [] p2(f12(f11(c23)),f7(c24)).
% 2.47/2.70 ** KEPT (pick-wt=7): 34 [] p19(f13(f11(c23)),f13(f11(c22))).
% 2.47/2.70 ** KEPT (pick-wt=14): 35 [] p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))).
% 2.47/2.70 ** KEPT (pick-wt=14): 36 [] p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))).
% 2.47/2.70 ** KEPT (pick-wt=28): 37 [] p2(f14(f11(c23)),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))).
% 2.47/2.70 ** KEPT (pick-wt=28): 38 [] p2(f14(f11(c25)),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))).
% 2.47/2.70 ** KEPT (pick-wt=41): 39 [] p4(f11(c25),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))).
% 2.47/2.70 ** KEPT (pick-wt=41): 40 [] p4(f11(c23),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))).
% 2.47/2.70 ** KEPT (pick-wt=41): 41 [] p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c23).
% 2.47/2.70 ** KEPT (pick-wt=41): 42 [] p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c25).
% 2.47/2.70
% 2.47/2.70 ======= end of input processing =======
% 2.47/2.70
% 2.47/2.70 =========== start of search ===========
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Resetting weight limit to 13.
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Resetting weight limit to 13.
% 2.47/2.70
% 2.47/2.70 sos_size=4614
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Resetting weight limit to 12.
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Resetting weight limit to 12.
% 2.47/2.70
% 2.47/2.70 sos_size=4642
% 2.47/2.70
% 2.47/2.70 -------- PROOF --------
% 2.47/2.70
% 2.47/2.70 ----> UNIT CONFLICT at 0.75 sec ----> 4884 [binary,4883.1,1.1] $F.
% 2.47/2.70
% 2.47/2.70 Length of proof is 4. Level of proof is 3.
% 2.47/2.70
% 2.47/2.70 ---------------- PROOF ----------------
% 2.47/2.70 % SZS status Unsatisfiable
% 2.47/2.70 % SZS output start Refutation
% See solution above
% 2.47/2.70 ------------ end of proof -------------
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Search stopped by max_proofs option.
% 2.47/2.70
% 2.47/2.70
% 2.47/2.70 Search stopped by max_proofs option.
% 2.47/2.70
% 2.47/2.70 ============ end of search ============
% 2.47/2.70
% 2.47/2.70 -------------- statistics -------------
% 2.47/2.70 clauses given 644
% 2.47/2.70 clauses generated 211703
% 2.47/2.70 clauses kept 4883
% 2.47/2.70 clauses forward subsumed 2324
% 2.47/2.70 clauses back subsumed 0
% 2.47/2.70 Kbytes malloced 5859
% 2.47/2.70
% 2.47/2.70 ----------- times (seconds) -----------
% 2.47/2.70 user CPU time 0.75 (0 hr, 0 min, 0 sec)
% 2.47/2.70 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.47/2.70 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.47/2.70
% 2.47/2.70 That finishes the proof of the theorem.
% 2.47/2.70
% 2.47/2.70 Process 9841 finished Wed Jul 27 11:11:07 2022
% 2.47/2.70 Otter interrupted
% 2.47/2.70 PROOF FOUND
%------------------------------------------------------------------------------