TSTP Solution File: SYN651-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:25:04 EDT 2022
% Result : Unsatisfiable 1.97s 2.17s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('SYN651-1.p',unknown),
[] ).
cnf(27,axiom,
( p23(f5(A,f14(f16(f18(f20(c31,B),C),A),D)),D)
| ~ p23(f5(f7(f10(c24,f12(c25,B)),A),C),D) ),
file('SYN651-1.p',unknown),
[] ).
cnf(29,axiom,
( p23(f5(f7(f10(c24,f12(c25,A)),B),C),D)
| ~ p23(f5(B,E),D)
| ~ p23(f5(f7(f10(c24,A),B),C),E) ),
file('SYN651-1.p',unknown),
[] ).
cnf(30,axiom,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),A),B)
| ~ p23(f5(c27,A),C)
| ~ p23(f5(f7(f10(c24,c26),c27),C),B) ),
file('SYN651-1.p',unknown),
[] ).
cnf(31,axiom,
( p23(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c31,A),C),B),D))
| ~ p23(f5(f7(f10(c24,f12(c25,A)),B),C),D) ),
file('SYN651-1.p',unknown),
[] ).
cnf(44,axiom,
p23(f5(c27,c28),c30),
file('SYN651-1.p',unknown),
[] ).
cnf(45,axiom,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('SYN651-1.p',unknown),
[] ).
cnf(47,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(hyper,[status(thm)],[45,31]),
[iquote('hyper,45,31')] ).
cnf(49,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(hyper,[status(thm)],[45,27]),
[iquote('hyper,45,27')] ).
cnf(63,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(hyper,[status(thm)],[47,30,44]),
[iquote('hyper,47,30,44')] ).
cnf(82,plain,
p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(hyper,[status(thm)],[63,29,49]),
[iquote('hyper,63,29,49')] ).
cnf(83,plain,
$false,
inference(binary,[status(thm)],[82,14]),
[iquote('binary,82.1,14.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 11:13:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.97/2.17 ----- Otter 3.3f, August 2004 -----
% 1.97/2.17 The process was started by sandbox2 on n011.cluster.edu,
% 1.97/2.17 Wed Jul 27 11:13:56 2022
% 1.97/2.17 The command was "./otter". The process ID is 29760.
% 1.97/2.17
% 1.97/2.17 set(prolog_style_variables).
% 1.97/2.17 set(auto).
% 1.97/2.17 dependent: set(auto1).
% 1.97/2.17 dependent: set(process_input).
% 1.97/2.17 dependent: clear(print_kept).
% 1.97/2.17 dependent: clear(print_new_demod).
% 1.97/2.17 dependent: clear(print_back_demod).
% 1.97/2.17 dependent: clear(print_back_sub).
% 1.97/2.17 dependent: set(control_memory).
% 1.97/2.17 dependent: assign(max_mem, 12000).
% 1.97/2.17 dependent: assign(pick_given_ratio, 4).
% 1.97/2.17 dependent: assign(stats_level, 1).
% 1.97/2.17 dependent: assign(max_seconds, 10800).
% 1.97/2.17 clear(print_given).
% 1.97/2.17
% 1.97/2.17 list(usable).
% 1.97/2.17 0 [] p11(X0,X0).
% 1.97/2.17 0 [] p9(X80,X80).
% 1.97/2.17 0 [] p8(X77,X77).
% 1.97/2.17 0 [] p6(X70,X70).
% 1.97/2.17 0 [] p4(X63,X63).
% 1.97/2.17 0 [] p3(X56,X56).
% 1.97/2.17 0 [] p21(X38,X38).
% 1.97/2.17 0 [] p2(X31,X31).
% 1.97/2.17 0 [] p19(X28,X28).
% 1.97/2.17 0 [] p17(X21,X21).
% 1.97/2.17 0 [] p15(X14,X14).
% 1.97/2.17 0 [] p13(X3,X3).
% 1.97/2.17 0 [] p23(f5(c27,c28),c30).
% 1.97/2.17 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.97/2.17 0 [] p9(X81,X82)| -p9(X80,X81)| -p9(X80,X82).
% 1.97/2.17 0 [] p8(X78,X79)| -p8(X77,X78)| -p8(X77,X79).
% 1.97/2.17 0 [] p6(X71,X72)| -p6(X70,X71)| -p6(X70,X72).
% 1.97/2.17 0 [] p4(X64,X65)| -p4(X63,X64)| -p4(X63,X65).
% 1.97/2.17 0 [] p3(X57,X58)| -p3(X56,X57)| -p3(X56,X58).
% 1.97/2.17 0 [] p21(X39,X40)| -p21(X38,X39)| -p21(X38,X40).
% 1.97/2.17 0 [] p2(X32,X33)| -p2(X31,X32)| -p2(X31,X33).
% 1.97/2.17 0 [] p19(X29,X30)| -p19(X28,X29)| -p19(X28,X30).
% 1.97/2.17 0 [] p17(X22,X23)| -p17(X21,X22)| -p17(X21,X23).
% 1.97/2.17 0 [] p15(X15,X16)| -p15(X14,X15)| -p15(X14,X16).
% 1.97/2.17 0 [] p13(X4,X5)| -p13(X3,X4)| -p13(X3,X5).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29).
% 1.97/2.17 0 [] p23(X41,X42)| -p3(X44,X42)| -p4(X43,X41)| -p23(X43,X44).
% 1.97/2.17 0 [] -p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29).
% 1.97/2.17 0 [] p13(f16(X6,X7),f16(X8,X9))| -p15(X6,X8)| -p2(X7,X9).
% 1.97/2.17 0 [] p9(f12(X83,X84),f12(X85,X86))| -p11(X83,X85)| -p9(X84,X86).
% 1.97/2.17 0 [] p6(f10(X73,X74),f10(X75,X76))| -p8(X73,X75)| -p9(X74,X76).
% 1.97/2.17 0 [] p4(f5(X66,X67),f5(X68,X69))| -p2(X66,X68)| -p3(X67,X69).
% 1.97/2.17 0 [] p3(f14(X59,X60),f14(X61,X62))| -p13(X59,X61)| -p3(X60,X62).
% 1.97/2.17 0 [] p2(f7(X34,X35),f7(X36,X37))| -p2(X35,X37)| -p6(X34,X36).
% 1.97/2.17 0 [] p17(f20(X24,X25),f20(X26,X27))| -p19(X24,X26)| -p9(X25,X27).
% 1.97/2.17 0 [] p15(f18(X17,X18),f18(X19,X20))| -p17(X17,X19)| -p3(X18,X20).
% 1.97/2.17 0 [] p13(f22(X10,X11),f22(X12,X13))| -p21(X10,X12)| -p3(X11,X13).
% 1.97/2.17 0 [] p3(X54,X55)| -p23(f5(f7(f10(c24,f12(c32,c33)),X53),X54),X55).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,f12(c32,c33)),X53),X54),X55)| -p3(X54,X55).
% 1.97/2.17 0 [] p23(f5(c27,X49),f14(f22(c34,X50),X49))| -p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50).
% 1.97/2.17 0 [] p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48)| -p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,c26),c27),f14(f22(c34,X50),X49)),X50)| -p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)| -p23(f5(X45,X51),X48)| -p23(f5(f7(f10(c24,X46),X45),X47),X51).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50)| -p23(f5(c27,X49),X52)| -p23(f5(f7(f10(c24,c26),c27),X52),X50).
% 1.97/2.17 0 [] p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48))| -p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48).
% 1.97/2.17 end_of_list.
% 1.97/2.17
% 1.97/2.17 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.97/2.17
% 1.97/2.17 This is a Horn set without equality. The strategy will
% 1.97/2.17 be hyperresolution, with satellites in sos and nuclei
% 1.97/2.17 in usable.
% 1.97/2.17
% 1.97/2.17 dependent: set(hyper_res).
% 1.97/2.17 dependent: clear(order_hyper).
% 1.97/2.17
% 1.97/2.17 ------------> process usable:
% 1.97/2.17 ** KEPT (pick-wt=9): 1 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 2 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 3 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 4 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 5 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 6 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 7 [] p21(A,B)| -p21(C,A)| -p21(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 8 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 9 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 10 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 11 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 1.97/2.17 ** KEPT (pick-wt=9): 12 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.97/2.17 ** KEPT (pick-wt=12): 13 [] p23(A,B)| -p3(C,B)| -p4(D,A)| -p23(D,C).
% 1.97/2.17 ** KEPT (pick-wt=13): 14 [] -p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29).
% 1.97/2.17 ** KEPT (pick-wt=13): 15 [] p13(f16(A,B),f16(C,D))| -p15(A,C)| -p2(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 16 [] p9(f12(A,B),f12(C,D))| -p11(A,C)| -p9(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 17 [] p6(f10(A,B),f10(C,D))| -p8(A,C)| -p9(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 18 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 19 [] p3(f14(A,B),f14(C,D))| -p13(A,C)| -p3(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 20 [] p2(f7(A,B),f7(C,D))| -p2(B,D)| -p6(A,C).
% 1.97/2.17 ** KEPT (pick-wt=13): 21 [] p17(f20(A,B),f20(C,D))| -p19(A,C)| -p9(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 22 [] p15(f18(A,B),f18(C,D))| -p17(A,C)| -p3(B,D).
% 1.97/2.17 ** KEPT (pick-wt=13): 23 [] p13(f22(A,B),f22(C,D))| -p21(A,C)| -p3(B,D).
% 1.97/2.17 ** KEPT (pick-wt=14): 24 [] p3(A,B)| -p23(f5(f7(f10(c24,f12(c32,c33)),C),A),B).
% 1.97/2.17 ** KEPT (pick-wt=14): 25 [] p23(f5(f7(f10(c24,f12(c32,c33)),A),B),C)| -p3(B,C).
% 1.97/2.17 ** KEPT (pick-wt=20): 26 [] p23(f5(c27,A),f14(f22(c34,B),A))| -p23(f5(f7(f10(c24,f12(c25,c26)),c27),A),B).
% 1.97/2.17 ** KEPT (pick-wt=24): 27 [] p23(f5(A,f14(f16(f18(f20(c31,B),C),A),D)),D)| -p23(f5(f7(f10(c24,f12(c25,B)),A),C),D).
% 1.97/2.17 ** KEPT (pick-wt=24): 28 [] p23(f5(f7(f10(c24,c26),c27),f14(f22(c34,A),B)),A)| -p23(f5(f7(f10(c24,f12(c25,c26)),c27),B),A).
% 1.97/2.17 ** KEPT (pick-wt=25): 29 [] p23(f5(f7(f10(c24,f12(c25,A)),B),C),D)| -p23(f5(B,E),D)| -p23(f5(f7(f10(c24,A),B),C),E).
% 1.97/2.17 ** KEPT (pick-wt=25): 30 [] p23(f5(f7(f10(c24,f12(c25,c26)),c27),A),B)| -p23(f5(c27,A),C)| -p23(f5(f7(f10(c24,c26),c27),C),B).
% 1.97/2.17 ** KEPT (pick-wt=28): 31 [] p23(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c31,A),C),B),D))| -p23(f5(f7(f10(c24,f12(c25,A)),B),C),D).
% 1.97/2.17
% 1.97/2.17 ------------> process sos:
% 1.97/2.17 ** KEPT (pick-wt=3): 32 [] p11(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 33 [] p9(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 34 [] p8(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 35 [] p6(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 36 [] p4(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 37 [] p3(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 38 [] p21(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 39 [] p2(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 40 [] p19(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 41 [] p17(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 42 [] p15(A,A).
% 1.97/2.17 ** KEPT (pick-wt=3): 43 [] p13(A,A).
% 1.97/2.17 ** KEPT (pick-wt=5): 44 [] p23(f5(c27,c28),c30).
% 1.97/2.17 ** KEPT (pick-wt=11): 45 [] p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29).
% 1.97/2.17
% 1.97/2.17 ======= end of input processing =======
% 1.97/2.17
% 1.97/2.17 =========== start of search ===========
% 1.97/2.17
% 1.97/2.17 -------- PROOF --------
% 1.97/2.17
% 1.97/2.17 ----> UNIT CONFLICT at 0.01 sec ----> 83 [binary,82.1,14.1] $F.
% 1.97/2.17
% 1.97/2.17 Length of proof is 4. Level of proof is 3.
% 1.97/2.17
% 1.97/2.17 ---------------- PROOF ----------------
% 1.97/2.17 % SZS status Unsatisfiable
% 1.97/2.17 % SZS output start Refutation
% See solution above
% 1.97/2.17 ------------ end of proof -------------
% 1.97/2.17
% 1.97/2.17
% 1.97/2.17 Search stopped by max_proofs option.
% 1.97/2.17
% 1.97/2.17
% 1.97/2.17 Search stopped by max_proofs option.
% 1.97/2.17
% 1.97/2.17 ============ end of search ============
% 1.97/2.17
% 1.97/2.17 -------------- statistics -------------
% 1.97/2.17 clauses given 27
% 1.97/2.17 clauses generated 88
% 1.97/2.17 clauses kept 82
% 1.97/2.17 clauses forward subsumed 51
% 1.97/2.17 clauses back subsumed 0
% 1.97/2.17 Kbytes malloced 1953
% 1.97/2.17
% 1.97/2.17 ----------- times (seconds) -----------
% 1.97/2.17 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.97/2.17 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.17 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.97/2.17
% 1.97/2.17 That finishes the proof of the theorem.
% 1.97/2.17
% 1.97/2.17 Process 29760 finished Wed Jul 27 11:13:57 2022
% 1.97/2.17 Otter interrupted
% 1.97/2.17 PROOF FOUND
%------------------------------------------------------------------------------