TSTP Solution File: SYN649-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN649-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:25:03 EDT 2022
% Result : Unsatisfiable 1.83s 1.98s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
( ~ p23(f5(c24,c25),A)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),c29) ),
file('SYN649-1.p',unknown),
[] ).
cnf(26,axiom,
( p23(f5(c24,A),f14(f22(c33,B),A))
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),B) ),
file('SYN649-1.p',unknown),
[] ).
cnf(27,axiom,
( p23(f5(A,f14(f16(f18(f20(c30,B),C),A),D)),D)
| ~ p23(f5(f7(f10(c26,f12(c27,B)),A),C),D) ),
file('SYN649-1.p',unknown),
[] ).
cnf(28,axiom,
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,A),B)),A)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),B),A) ),
file('SYN649-1.p',unknown),
[] ).
cnf(29,axiom,
( p23(f5(f7(f10(c26,f12(c27,A)),B),C),D)
| ~ p23(f5(B,E),D)
| ~ p23(f5(f7(f10(c26,A),B),C),E) ),
file('SYN649-1.p',unknown),
[] ).
cnf(31,axiom,
( p23(f5(f7(f10(c26,A),B),C),f14(f16(f18(f20(c30,A),C),B),D))
| ~ p23(f5(f7(f10(c26,f12(c27,A)),B),C),D) ),
file('SYN649-1.p',unknown),
[] ).
cnf(44,axiom,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('SYN649-1.p',unknown),
[] ).
cnf(47,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(hyper,[status(thm)],[44,31]),
[iquote('hyper,44,31')] ).
cnf(49,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(hyper,[status(thm)],[44,27]),
[iquote('hyper,44,27')] ).
cnf(57,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(hyper,[status(thm)],[47,28]),
[iquote('hyper,47,28')] ).
cnf(59,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(hyper,[status(thm)],[47,26]),
[iquote('hyper,47,26')] ).
cnf(273,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(hyper,[status(thm)],[57,29,49]),
[iquote('hyper,57,29,49')] ).
cnf(285,plain,
$false,
inference(hyper,[status(thm)],[273,25,59]),
[iquote('hyper,273,25,59')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN649-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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
% 0.12/0.34 % CPUTime :
% 1.77/1.96 ----- Otter 3.3f, August 2004 -----
% 1.77/1.96 The process was started by sandbox on n005.cluster.edu,
% 1.77/1.96 Wed Jul 27 11:11:05 2022
% 1.77/1.96 The command was "./otter". The process ID is 29066.
% 1.77/1.96
% 1.77/1.96 set(prolog_style_variables).
% 1.77/1.96 set(auto).
% 1.77/1.96 dependent: set(auto1).
% 1.77/1.96 dependent: set(process_input).
% 1.77/1.96 dependent: clear(print_kept).
% 1.77/1.96 dependent: clear(print_new_demod).
% 1.77/1.96 dependent: clear(print_back_demod).
% 1.77/1.96 dependent: clear(print_back_sub).
% 1.77/1.96 dependent: set(control_memory).
% 1.77/1.96 dependent: assign(max_mem, 12000).
% 1.77/1.96 dependent: assign(pick_given_ratio, 4).
% 1.77/1.96 dependent: assign(stats_level, 1).
% 1.77/1.96 dependent: assign(max_seconds, 10800).
% 1.77/1.96 clear(print_given).
% 1.77/1.96
% 1.77/1.96 list(usable).
% 1.77/1.96 0 [] p11(X0,X0).
% 1.77/1.96 0 [] p9(X80,X80).
% 1.77/1.96 0 [] p8(X77,X77).
% 1.77/1.96 0 [] p6(X70,X70).
% 1.77/1.96 0 [] p4(X63,X63).
% 1.77/1.96 0 [] p3(X56,X56).
% 1.77/1.96 0 [] p21(X38,X38).
% 1.77/1.96 0 [] p2(X31,X31).
% 1.77/1.96 0 [] p19(X28,X28).
% 1.77/1.96 0 [] p17(X21,X21).
% 1.77/1.96 0 [] p15(X14,X14).
% 1.77/1.96 0 [] p13(X3,X3).
% 1.77/1.96 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.77/1.96 0 [] p9(X81,X82)| -p9(X80,X81)| -p9(X80,X82).
% 1.77/1.96 0 [] p8(X78,X79)| -p8(X77,X78)| -p8(X77,X79).
% 1.77/1.96 0 [] p6(X71,X72)| -p6(X70,X71)| -p6(X70,X72).
% 1.77/1.96 0 [] p4(X64,X65)| -p4(X63,X64)| -p4(X63,X65).
% 1.77/1.96 0 [] p3(X57,X58)| -p3(X56,X57)| -p3(X56,X58).
% 1.77/1.96 0 [] p21(X39,X40)| -p21(X38,X39)| -p21(X38,X40).
% 1.77/1.96 0 [] p2(X32,X33)| -p2(X31,X32)| -p2(X31,X33).
% 1.77/1.96 0 [] p19(X29,X30)| -p19(X28,X29)| -p19(X28,X30).
% 1.77/1.96 0 [] p17(X22,X23)| -p17(X21,X22)| -p17(X21,X23).
% 1.77/1.96 0 [] p15(X15,X16)| -p15(X14,X15)| -p15(X14,X16).
% 1.77/1.96 0 [] p13(X4,X5)| -p13(X3,X4)| -p13(X3,X5).
% 1.77/1.96 0 [] p23(X41,X42)| -p3(X44,X42)| -p4(X43,X41)| -p23(X43,X44).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29).
% 1.77/1.96 0 [] p9(f12(X83,X84),f12(X85,X86))| -p11(X83,X85)| -p9(X84,X86).
% 1.77/1.96 0 [] p13(f16(X6,X7),f16(X8,X9))| -p15(X6,X8)| -p2(X7,X9).
% 1.77/1.96 0 [] p13(f22(X10,X11),f22(X12,X13))| -p21(X10,X12)| -p3(X11,X13).
% 1.77/1.96 0 [] p15(f18(X17,X18),f18(X19,X20))| -p17(X17,X19)| -p3(X18,X20).
% 1.77/1.96 0 [] p17(f20(X24,X25),f20(X26,X27))| -p19(X24,X26)| -p9(X25,X27).
% 1.77/1.96 0 [] p2(f7(X34,X35),f7(X36,X37))| -p2(X35,X37)| -p6(X34,X36).
% 1.77/1.96 0 [] p3(f14(X59,X60),f14(X61,X62))| -p13(X59,X61)| -p3(X60,X62).
% 1.77/1.96 0 [] p4(f5(X66,X67),f5(X68,X69))| -p2(X66,X68)| -p3(X67,X69).
% 1.77/1.96 0 [] p6(f10(X73,X74),f10(X75,X76))| -p8(X73,X75)| -p9(X74,X76).
% 1.77/1.96 0 [] p3(X54,X55)| -p23(f5(f7(f10(c26,f12(c31,c32)),X53),X54),X55).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,f12(c31,c32)),X53),X54),X55)| -p3(X54,X55).
% 1.77/1.96 0 [] -p23(f5(c24,c25),X87)| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29).
% 1.77/1.96 0 [] p23(f5(c24,X49),f14(f22(c33,X50),X49))| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50).
% 1.77/1.96 0 [] p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48)| -p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50)| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)| -p23(f5(X45,X51),X48)| -p23(f5(f7(f10(c26,X46),X45),X47),X51).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)| -p23(f5(c24,X49),X52)| -p23(f5(f7(f10(c26,c28),c24),X52),X50).
% 1.77/1.96 0 [] p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48))| -p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.77/1.96
% 1.77/1.96 This is a Horn set without equality. The strategy will
% 1.77/1.96 be hyperresolution, with satellites in sos and nuclei
% 1.77/1.96 in usable.
% 1.77/1.96
% 1.77/1.96 dependent: set(hyper_res).
% 1.77/1.96 dependent: clear(order_hyper).
% 1.77/1.96
% 1.77/1.96 ------------> process usable:
% 1.77/1.96 ** KEPT (pick-wt=9): 1 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 2 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 3 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 4 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 5 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 6 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 7 [] p21(A,B)| -p21(C,A)| -p21(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 8 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 9 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 10 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 11 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 1.77/1.96 ** KEPT (pick-wt=9): 12 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.77/1.96 ** KEPT (pick-wt=12): 13 [] p23(A,B)| -p3(C,B)| -p4(D,A)| -p23(D,C).
% 1.77/1.96 ** KEPT (pick-wt=13): 14 [] p9(f12(A,B),f12(C,D))| -p11(A,C)| -p9(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 15 [] p13(f16(A,B),f16(C,D))| -p15(A,C)| -p2(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 16 [] p13(f22(A,B),f22(C,D))| -p21(A,C)| -p3(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 17 [] p15(f18(A,B),f18(C,D))| -p17(A,C)| -p3(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 18 [] p17(f20(A,B),f20(C,D))| -p19(A,C)| -p9(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 19 [] p2(f7(A,B),f7(C,D))| -p2(B,D)| -p6(A,C).
% 1.83/1.98 ** KEPT (pick-wt=13): 20 [] p3(f14(A,B),f14(C,D))| -p13(A,C)| -p3(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 21 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.83/1.98 ** KEPT (pick-wt=13): 22 [] p6(f10(A,B),f10(C,D))| -p8(A,C)| -p9(B,D).
% 1.83/1.98 ** KEPT (pick-wt=14): 23 [] p3(A,B)| -p23(f5(f7(f10(c26,f12(c31,c32)),C),A),B).
% 1.83/1.98 ** KEPT (pick-wt=14): 24 [] p23(f5(f7(f10(c26,f12(c31,c32)),A),B),C)| -p3(B,C).
% 1.83/1.98 ** KEPT (pick-wt=16): 25 [] -p23(f5(c24,c25),A)| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),c29).
% 1.83/1.98 ** KEPT (pick-wt=20): 26 [] p23(f5(c24,A),f14(f22(c33,B),A))| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),B).
% 1.83/1.98 ** KEPT (pick-wt=24): 27 [] p23(f5(A,f14(f16(f18(f20(c30,B),C),A),D)),D)| -p23(f5(f7(f10(c26,f12(c27,B)),A),C),D).
% 1.83/1.98 ** KEPT (pick-wt=24): 28 [] p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,A),B)),A)| -p23(f5(f7(f10(c26,f12(c27,c28)),c24),B),A).
% 1.83/1.98 ** KEPT (pick-wt=25): 29 [] p23(f5(f7(f10(c26,f12(c27,A)),B),C),D)| -p23(f5(B,E),D)| -p23(f5(f7(f10(c26,A),B),C),E).
% 1.83/1.98 ** KEPT (pick-wt=25): 30 [] p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),B)| -p23(f5(c24,A),C)| -p23(f5(f7(f10(c26,c28),c24),C),B).
% 1.83/1.98 ** KEPT (pick-wt=28): 31 [] p23(f5(f7(f10(c26,A),B),C),f14(f16(f18(f20(c30,A),C),B),D))| -p23(f5(f7(f10(c26,f12(c27,A)),B),C),D).
% 1.83/1.98
% 1.83/1.98 ------------> process sos:
% 1.83/1.98 ** KEPT (pick-wt=3): 32 [] p11(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 33 [] p9(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 34 [] p8(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 35 [] p6(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 36 [] p4(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 37 [] p3(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 38 [] p21(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 39 [] p2(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 40 [] p19(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 41 [] p17(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 42 [] p15(A,A).
% 1.83/1.98 ** KEPT (pick-wt=3): 43 [] p13(A,A).
% 1.83/1.98 ** KEPT (pick-wt=13): 44 [] p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29).
% 1.83/1.98
% 1.83/1.98 ======= end of input processing =======
% 1.83/1.98
% 1.83/1.98 =========== start of search ===========
% 1.83/1.98
% 1.83/1.98 -------- PROOF --------
% 1.83/1.98
% 1.83/1.98 -----> EMPTY CLAUSE at 0.01 sec ----> 285 [hyper,273,25,59] $F.
% 1.83/1.98
% 1.83/1.98 Length of proof is 5. Level of proof is 3.
% 1.83/1.98
% 1.83/1.98 ---------------- PROOF ----------------
% 1.83/1.98 % SZS status Unsatisfiable
% 1.83/1.98 % SZS output start Refutation
% See solution above
% 1.83/1.98 ------------ end of proof -------------
% 1.83/1.98
% 1.83/1.98
% 1.83/1.98 Search stopped by max_proofs option.
% 1.83/1.98
% 1.83/1.98
% 1.83/1.98 Search stopped by max_proofs option.
% 1.83/1.98
% 1.83/1.98 ============ end of search ============
% 1.83/1.98
% 1.83/1.98 -------------- statistics -------------
% 1.83/1.98 clauses given 42
% 1.83/1.98 clauses generated 357
% 1.83/1.98 clauses kept 284
% 1.83/1.98 clauses forward subsumed 116
% 1.83/1.98 clauses back subsumed 10
% 1.83/1.98 Kbytes malloced 2929
% 1.83/1.98
% 1.83/1.98 ----------- times (seconds) -----------
% 1.83/1.98 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.83/1.98 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.83/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.83/1.98
% 1.83/1.98 That finishes the proof of the theorem.
% 1.83/1.98
% 1.83/1.98 Process 29066 finished Wed Jul 27 11:11:07 2022
% 1.83/1.98 Otter interrupted
% 1.83/1.98 PROOF FOUND
%------------------------------------------------------------------------------