TSTP Solution File: SYN626-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:25:01 EDT 2022
% Result : Unsatisfiable 1.98s 2.14s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p16(A,B)
| ~ p15(A,B) ),
file('SYN626-1.p',unknown),
[] ).
cnf(7,axiom,
( p7(f12(f13(A)),A)
| ~ p16(c22,A) ),
file('SYN626-1.p',unknown),
[] ).
cnf(9,axiom,
( p7(A,B)
| ~ p7(C,A)
| ~ p7(C,B) ),
file('SYN626-1.p',unknown),
[] ).
cnf(16,axiom,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('SYN626-1.p',unknown),
[] ).
cnf(23,axiom,
( p15(A,B)
| ~ p6(C,A)
| ~ p7(D,B)
| ~ p15(C,D) ),
file('SYN626-1.p',unknown),
[] ).
cnf(35,axiom,
p7(A,A),
file('SYN626-1.p',unknown),
[] ).
cnf(36,axiom,
p6(A,A),
file('SYN626-1.p',unknown),
[] ).
cnf(41,axiom,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('SYN626-1.p',unknown),
[] ).
cnf(51,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(hyper,[status(thm)],[41,1]),
[iquote('hyper,41,1')] ).
cnf(59,plain,
p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(hyper,[status(thm)],[51,7]),
[iquote('hyper,51,7')] ).
cnf(95,plain,
p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(hyper,[status(thm)],[59,9,35]),
[iquote('hyper,59,9,35')] ).
cnf(132,plain,
p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(hyper,[status(thm)],[95,23,36,41]),
[iquote('hyper,95,23,36,41')] ).
cnf(133,plain,
$false,
inference(binary,[status(thm)],[132,16]),
[iquote('binary,132.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 11:27:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.53/2.13 ----- Otter 3.3f, August 2004 -----
% 1.53/2.13 The process was started by sandbox on n023.cluster.edu,
% 1.53/2.13 Wed Jul 27 11:27:33 2022
% 1.53/2.13 The command was "./otter". The process ID is 1773.
% 1.53/2.13
% 1.53/2.13 set(prolog_style_variables).
% 1.53/2.13 set(auto).
% 1.53/2.13 dependent: set(auto1).
% 1.53/2.13 dependent: set(process_input).
% 1.53/2.13 dependent: clear(print_kept).
% 1.53/2.13 dependent: clear(print_new_demod).
% 1.53/2.13 dependent: clear(print_back_demod).
% 1.53/2.13 dependent: clear(print_back_sub).
% 1.53/2.13 dependent: set(control_memory).
% 1.53/2.13 dependent: assign(max_mem, 12000).
% 1.53/2.13 dependent: assign(pick_given_ratio, 4).
% 1.53/2.13 dependent: assign(stats_level, 1).
% 1.53/2.13 dependent: assign(max_seconds, 10800).
% 1.53/2.13 clear(print_given).
% 1.53/2.13
% 1.53/2.13 list(usable).
% 1.53/2.13 0 [] p11(X0,X0).
% 1.53/2.13 0 [] p7(X54,X54).
% 1.53/2.13 0 [] p6(X47,X47).
% 1.53/2.13 0 [] p3(X38,X38).
% 1.53/2.13 0 [] p2(X33,X33).
% 1.53/2.13 0 [] p11(f13(f12(X5)),X5).
% 1.53/2.13 0 [] p14(f4(f5(c20)),f4(c21)).
% 1.53/2.13 0 [] p16(X14,X15)| -p15(X14,X15).
% 1.53/2.13 0 [] p15(c22,f8(f5(c20),f9(c23,c24))).
% 1.53/2.13 0 [] p16(c22,X20)| -p7(f12(f13(X20)),X20).
% 1.53/2.13 0 [] p11(f13(X3),f13(X4))| -p7(X3,X4).
% 1.53/2.13 0 [] p7(f12(X57),f12(X58))| -p11(X57,X58).
% 1.53/2.13 0 [] p3(f4(X45),f4(X46))| -p2(X45,X46).
% 1.53/2.13 0 [] p2(f5(X36),f5(X37))| -p2(X36,X37).
% 1.53/2.13 0 [] p7(f12(f13(X20)),X20)| -p16(c22,X20).
% 1.53/2.13 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.53/2.13 0 [] p7(X55,X56)| -p7(X54,X55)| -p7(X54,X56).
% 1.53/2.13 0 [] p6(X48,X49)| -p6(X47,X48)| -p6(X47,X49).
% 1.53/2.13 0 [] p3(X39,X40)| -p3(X38,X39)| -p3(X38,X40).
% 1.53/2.13 0 [] p2(X34,X35)| -p2(X33,X34)| -p2(X33,X35).
% 1.53/2.13 0 [] p15(X14,X15)| -p16(X14,X15)| -p19(X14,X15).
% 1.53/2.13 0 [] p15(X14,X15)| -p16(X14,X15)| -p18(X14,X15).
% 1.53/2.13 0 [] p15(X14,X15)| -p16(X14,X15)| -p17(X14,X15).
% 1.53/2.13 0 [] -p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))).
% 1.53/2.13 0 [] p17(X14,X15)|p18(X14,X15)|p19(X14,X15)| -p15(X14,X15).
% 1.53/2.13 0 [] p14(X6,X7)| -p3(X8,X6)| -p3(X9,X7)| -p14(X8,X9).
% 1.53/2.13 0 [] p19(X29,X30)| -p6(X31,X29)| -p7(X32,X30)| -p19(X31,X32).
% 1.53/2.13 0 [] p18(X25,X26)| -p6(X27,X25)| -p7(X28,X26)| -p18(X27,X28).
% 1.53/2.13 0 [] p17(X21,X22)| -p6(X23,X21)| -p7(X24,X22)| -p17(X23,X24).
% 1.53/2.13 0 [] p16(X16,X17)| -p6(X18,X16)| -p7(X19,X17)| -p16(X18,X19).
% 1.53/2.13 0 [] p15(X10,X11)| -p6(X12,X10)| -p7(X13,X11)| -p15(X12,X13).
% 1.53/2.13 0 [] p3(f10(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),f4(c21)).
% 1.53/2.13 0 [] p7(f8(X59,X60),f8(X61,X62))| -p2(X59,X61)| -p6(X60,X62).
% 1.53/2.13 0 [] p3(f10(X41,X42),f10(X43,X44))| -p6(X41,X43)| -p7(X42,X44).
% 1.53/2.13 0 [] p6(f9(X50,X51),f9(X52,X53))| -p2(X51,X53)| -p2(X50,X52).
% 1.53/2.13 end_of_list.
% 1.53/2.13
% 1.53/2.13 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.53/2.13
% 1.53/2.13 This is a non-Horn set without equality. The strategy will
% 1.53/2.13 be ordered hyper_res, unit deletion, and factoring, with
% 1.53/2.13 satellites in sos and with nuclei in usable.
% 1.53/2.13
% 1.53/2.13 dependent: set(hyper_res).
% 1.53/2.13 dependent: set(factor).
% 1.53/2.13 dependent: set(unit_deletion).
% 1.53/2.13
% 1.53/2.13 ------------> process usable:
% 1.53/2.13 ** KEPT (pick-wt=6): 1 [] p16(A,B)| -p15(A,B).
% 1.53/2.13 ** KEPT (pick-wt=8): 2 [] p16(c22,A)| -p7(f12(f13(A)),A).
% 1.53/2.13 ** KEPT (pick-wt=8): 3 [] p11(f13(A),f13(B))| -p7(A,B).
% 1.53/2.13 ** KEPT (pick-wt=8): 4 [] p7(f12(A),f12(B))| -p11(A,B).
% 1.53/2.13 ** KEPT (pick-wt=8): 5 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.53/2.13 ** KEPT (pick-wt=8): 6 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.53/2.13 ** KEPT (pick-wt=8): 7 [] p7(f12(f13(A)),A)| -p16(c22,A).
% 1.53/2.13 ** KEPT (pick-wt=9): 8 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 9 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 10 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 11 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 12 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 13 [] p15(A,B)| -p16(A,B)| -p19(A,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 14 [] p15(A,B)| -p16(A,B)| -p18(A,B).
% 1.53/2.13 ** KEPT (pick-wt=9): 15 [] p15(A,B)| -p16(A,B)| -p17(A,B).
% 1.53/2.13 ** KEPT (pick-wt=10): 16 [] -p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))).
% 1.53/2.13 ** KEPT (pick-wt=12): 17 [] p17(A,B)|p18(A,B)|p19(A,B)| -p15(A,B).
% 1.53/2.13 ** KEPT (pick-wt=12): 18 [] p14(A,B)| -p3(C,A)| -p3(D,B)| -p14(C,D).
% 1.53/2.13 ** KEPT (pick-wt=12): 19 [] p19(A,B)| -p6(C,A)| -p7(D,B)| -p19(C,D).
% 1.53/2.13 ** KEPT (pick-wt=12): 20 [] p18(A,B)| -p6(C,A)| -p7(D,B)| -p18(C,D).
% 1.53/2.13 ** KEPT (pick-wt=12): 21 [] p17(A,B)| -p6(C,A)| -p7(D,B)| -p17(C,D).
% 1.53/2.13 ** KEPT (pick-wt=12): 22 [] p16(A,B)| -p6(C,A)| -p7(D,B)| -p16(C,D).
% 1.53/2.13 ** KEPT (pick-wt=12): 23 [] p15(A,B)| -p6(C,A)| -p7(D,B)| -p15(C,D).
% 1.53/2.13 ** KEPT (pick-wt=13): 24 [] p7(f8(A,B),f8(C,D))| -p2(A,C)| -p6(B,D).
% 1.53/2.13 ** KEPT (pick-wt=13): 25 [] p3(f10(A,B),f10(C,D))| -p6(A,C)| -p7(B,D).
% 1.98/2.14 ** KEPT (pick-wt=13): 26 [] p6(f9(A,B),f9(C,D))| -p2(B,D)| -p2(A,C).
% 1.98/2.14
% 1.98/2.14 ------------> process sos:
% 1.98/2.14 ** KEPT (pick-wt=3): 34 [] p11(A,A).
% 1.98/2.14 ** KEPT (pick-wt=3): 35 [] p7(A,A).
% 1.98/2.14 ** KEPT (pick-wt=3): 36 [] p6(A,A).
% 1.98/2.14 ** KEPT (pick-wt=3): 37 [] p3(A,A).
% 1.98/2.14 ** KEPT (pick-wt=3): 38 [] p2(A,A).
% 1.98/2.14 ** KEPT (pick-wt=5): 39 [] p11(f13(f12(A)),A).
% 1.98/2.14 ** KEPT (pick-wt=6): 40 [] p14(f4(f5(c20)),f4(c21)).
% 1.98/2.14 ** KEPT (pick-wt=8): 41 [] p15(c22,f8(f5(c20),f9(c23,c24))).
% 1.98/2.14 ** KEPT (pick-wt=13): 42 [] p3(f10(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),f4(c21)).
% 1.98/2.14 34 back subsumes 27.
% 1.98/2.14 35 back subsumes 28.
% 1.98/2.14 36 back subsumes 29.
% 1.98/2.14 37 back subsumes 30.
% 1.98/2.14 38 back subsumes 31.
% 1.98/2.14
% 1.98/2.14 ======= end of input processing =======
% 1.98/2.14
% 1.98/2.14 =========== start of search ===========
% 1.98/2.14
% 1.98/2.14 -------- PROOF --------
% 1.98/2.14
% 1.98/2.14 ----> UNIT CONFLICT at 0.01 sec ----> 133 [binary,132.1,16.1] $F.
% 1.98/2.14
% 1.98/2.14 Length of proof is 4. Level of proof is 4.
% 1.98/2.14
% 1.98/2.14 ---------------- PROOF ----------------
% 1.98/2.14 % SZS status Unsatisfiable
% 1.98/2.14 % SZS output start Refutation
% See solution above
% 1.98/2.14 ------------ end of proof -------------
% 1.98/2.14
% 1.98/2.14
% 1.98/2.14 Search stopped by max_proofs option.
% 1.98/2.14
% 1.98/2.14
% 1.98/2.14 Search stopped by max_proofs option.
% 1.98/2.14
% 1.98/2.14 ============ end of search ============
% 1.98/2.14
% 1.98/2.14 -------------- statistics -------------
% 1.98/2.14 clauses given 47
% 1.98/2.14 clauses generated 562
% 1.98/2.14 clauses kept 132
% 1.98/2.14 clauses forward subsumed 465
% 1.98/2.14 clauses back subsumed 5
% 1.98/2.14 Kbytes malloced 1953
% 1.98/2.14
% 1.98/2.14 ----------- times (seconds) -----------
% 1.98/2.14 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.98/2.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.14 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.98/2.14
% 1.98/2.14 That finishes the proof of the theorem.
% 1.98/2.14
% 1.98/2.14 Process 1773 finished Wed Jul 27 11:27:34 2022
% 1.98/2.14 Otter interrupted
% 1.98/2.14 PROOF FOUND
%------------------------------------------------------------------------------