%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN632-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 31 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN632-1.p',unknown),
[] ).
cnf(12,axiom,
( p21(A,B)
| ~ p3(C,B)
| ~ p4(D,A)
| ~ p21(D,C) ),
file('SYN632-1.p',unknown),
[] ).
cnf(19,axiom,
( p4(f5(A,B),f5(C,D))
| ~ p2(A,C)
| ~ p3(B,D) ),
file('SYN632-1.p',unknown),
[] ).
cnf(21,axiom,
( p3(A,B)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),C),A),B) ),
file('SYN632-1.p',unknown),
[] ).
cnf(22,axiom,
( p21(f5(f7(f10(c24,f12(c25,c26)),A),B),C)
| ~ p3(B,C) ),
file('SYN632-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p21(f5(c22,c23),A)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),A),c27) ),
file('SYN632-1.p',unknown),
[] ).
cnf(24,axiom,
( p21(f5(A,f14(f16(f18(f20(c29,B),C),A),D)),D)
| ~ p21(f5(f7(f10(c24,f12(c28,B)),A),C),D) ),
file('SYN632-1.p',unknown),
[] ).
cnf(26,axiom,
( p21(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c29,A),C),B),D))
| ~ p21(f5(f7(f10(c24,f12(c28,A)),B),C),D) ),
file('SYN632-1.p',unknown),
[] ).
cnf(32,axiom,
p3(A,A),
file('SYN632-1.p',unknown),
[] ).
cnf(33,axiom,
p2(A,A),
file('SYN632-1.p',unknown),
[] ).
cnf(38,axiom,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('SYN632-1.p',unknown),
[] ).
cnf(39,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),A),B),B),
inference(hyper,[status(thm)],[32,22]),
[iquote('hyper,32,22')] ).
cnf(41,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(hyper,[status(thm)],[38,26]),
[iquote('hyper,38,26')] ).
cnf(43,plain,
p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
inference(hyper,[status(thm)],[38,24]),
[iquote('hyper,38,24')] ).
cnf(51,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(hyper,[status(thm)],[41,21]),
[iquote('hyper,41,21')] ).
cnf(57,plain,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(hyper,[status(thm)],[51,6,32]),
[iquote('hyper,51,6,32')] ).
cnf(59,plain,
p4(f5(A,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(A,c23)),
inference(hyper,[status(thm)],[57,19,33]),
[iquote('hyper,57,19,33')] ).
cnf(73,plain,
p21(f5(c22,c23),c27),
inference(hyper,[status(thm)],[59,12,32,43]),
[iquote('hyper,59,12,32,43')] ).
cnf(74,plain,
$false,
inference(hyper,[status(thm)],[73,23,39]),
[iquote('hyper,73,23,39')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN632-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:22:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.76/1.96 ----- Otter 3.3f, August 2004 -----
% 1.76/1.96 The process was started by sandbox2 on n022.cluster.edu,
% 1.76/1.96 Wed Jul 27 11:22:35 2022
% 1.76/1.96 The command was "./otter". The process ID is 19705.
% 1.76/1.96
% 1.76/1.96 set(prolog_style_variables).
% 1.76/1.96 set(auto).
% 1.76/1.96 dependent: set(auto1).
% 1.76/1.96 dependent: set(process_input).
% 1.76/1.96 dependent: clear(print_kept).
% 1.76/1.96 dependent: clear(print_new_demod).
% 1.76/1.96 dependent: clear(print_back_demod).
% 1.76/1.96 dependent: clear(print_back_sub).
% 1.76/1.96 dependent: set(control_memory).
% 1.76/1.96 dependent: assign(max_mem, 12000).
% 1.76/1.96 dependent: assign(pick_given_ratio, 4).
% 1.76/1.96 dependent: assign(stats_level, 1).
% 1.76/1.96 dependent: assign(max_seconds, 10800).
% 1.76/1.96 clear(print_given).
% 1.76/1.96
% 1.76/1.96 list(usable).
% 1.76/1.96 0 [] p11(X0,X0).
% 1.76/1.96 0 [] p9(X70,X70).
% 1.76/1.96 0 [] p8(X67,X67).
% 1.76/1.96 0 [] p6(X60,X60).
% 1.76/1.96 0 [] p4(X53,X53).
% 1.76/1.96 0 [] p3(X46,X46).
% 1.76/1.96 0 [] p2(X27,X27).
% 1.76/1.96 0 [] p19(X24,X24).
% 1.76/1.96 0 [] p17(X17,X17).
% 1.76/1.96 0 [] p15(X10,X10).
% 1.76/1.96 0 [] p13(X3,X3).
% 1.76/1.96 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.76/1.96 0 [] p9(X71,X72)| -p9(X70,X71)| -p9(X70,X72).
% 1.76/1.96 0 [] p8(X68,X69)| -p8(X67,X68)| -p8(X67,X69).
% 1.76/1.96 0 [] p6(X61,X62)| -p6(X60,X61)| -p6(X60,X62).
% 1.76/1.96 0 [] p4(X54,X55)| -p4(X53,X54)| -p4(X53,X55).
% 1.76/1.96 0 [] p3(X47,X48)| -p3(X46,X47)| -p3(X46,X48).
% 1.76/1.96 0 [] p2(X28,X29)| -p2(X27,X28)| -p2(X27,X29).
% 1.76/1.96 0 [] p19(X25,X26)| -p19(X24,X25)| -p19(X24,X26).
% 1.76/1.96 0 [] p17(X18,X19)| -p17(X17,X18)| -p17(X17,X19).
% 1.76/1.96 0 [] p15(X11,X12)| -p15(X10,X11)| -p15(X10,X12).
% 1.76/1.96 0 [] p13(X4,X5)| -p13(X3,X4)| -p13(X3,X5).
% 1.76/1.96 0 [] p21(X34,X35)| -p3(X37,X35)| -p4(X36,X34)| -p21(X36,X37).
% 1.76/1.96 0 [] p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27).
% 1.76/1.96 0 [] p9(f12(X73,X74),f12(X75,X76))| -p11(X73,X75)| -p9(X74,X76).
% 1.76/1.96 0 [] p13(f16(X6,X7),f16(X8,X9))| -p15(X6,X8)| -p2(X7,X9).
% 1.76/1.96 0 [] p15(f18(X13,X14),f18(X15,X16))| -p17(X13,X15)| -p3(X14,X16).
% 1.76/1.96 0 [] p17(f20(X20,X21),f20(X22,X23))| -p19(X20,X22)| -p9(X21,X23).
% 1.76/1.96 0 [] p2(f7(X30,X31),f7(X32,X33))| -p2(X31,X33)| -p6(X30,X32).
% 1.76/1.96 0 [] p3(f14(X49,X50),f14(X51,X52))| -p13(X49,X51)| -p3(X50,X52).
% 1.76/1.96 0 [] p4(f5(X56,X57),f5(X58,X59))| -p2(X56,X58)| -p3(X57,X59).
% 1.76/1.96 0 [] p6(f10(X63,X64),f10(X65,X66))| -p8(X63,X65)| -p9(X64,X66).
% 1.76/1.96 0 [] p3(X43,X44)| -p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44).
% 1.76/1.96 0 [] p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44)| -p3(X43,X44).
% 1.76/1.96 0 [] -p21(f5(c22,c23),X77)| -p21(f5(f7(f10(c24,f12(c25,c26)),c22),X77),c27).
% 1.76/1.96 0 [] p21(f5(X38,f14(f16(f18(f20(c29,X39),X40),X38),X41)),X41)| -p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41).
% 1.76/1.96 0 [] p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41)| -p21(f5(X38,X45),X41)| -p21(f5(f7(f10(c24,X39),X38),X40),X45).
% 1.76/1.96 0 [] p21(f5(f7(f10(c24,X39),X38),X40),f14(f16(f18(f20(c29,X39),X40),X38),X41))| -p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41).
% 1.76/1.96 end_of_list.
% 1.76/1.96
% 1.76/1.96 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.76/1.96
% 1.76/1.96 This is a Horn set without equality. The strategy will
% 1.76/1.96 be hyperresolution, with satellites in sos and nuclei
% 1.76/1.96 in usable.
% 1.76/1.96
% 1.76/1.96 dependent: set(hyper_res).
% 1.76/1.96 dependent: clear(order_hyper).
% 1.76/1.96
% 1.76/1.96 ------------> process usable:
% 1.76/1.96 ** KEPT (pick-wt=9): 1 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 2 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 3 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 4 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 5 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 6 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 7 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 8 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 9 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 10 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 11 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.76/1.96 ** KEPT (pick-wt=12): 12 [] p21(A,B)| -p3(C,B)| -p4(D,A)| -p21(D,C).
% 1.76/1.96 ** KEPT (pick-wt=13): 13 [] p9(f12(A,B),f12(C,D))| -p11(A,C)| -p9(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 14 [] p13(f16(A,B),f16(C,D))| -p15(A,C)| -p2(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 15 [] p15(f18(A,B),f18(C,D))| -p17(A,C)| -p3(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 16 [] p17(f20(A,B),f20(C,D))| -p19(A,C)| -p9(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 17 [] p2(f7(A,B),f7(C,D))| -p2(B,D)| -p6(A,C).
% 1.76/1.96 ** KEPT (pick-wt=13): 18 [] p3(f14(A,B),f14(C,D))| -p13(A,C)| -p3(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 19 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.76/1.96 ** KEPT (pick-wt=13): 20 [] p6(f10(A,B),f10(C,D))| -p8(A,C)| -p9(B,D).
% 1.76/1.96 ** KEPT (pick-wt=14): 21 [] p3(A,B)| -p21(f5(f7(f10(c24,f12(c25,c26)),C),A),B).
% 1.76/1.96 ** KEPT (pick-wt=14): 22 [] p21(f5(f7(f10(c24,f12(c25,c26)),A),B),C)| -p3(B,C).
% 1.76/1.96 ** KEPT (pick-wt=16): 23 [] -p21(f5(c22,c23),A)| -p21(f5(f7(f10(c24,f12(c25,c26)),c22),A),c27).
% 1.76/1.96 ** KEPT (pick-wt=24): 24 [] p21(f5(A,f14(f16(f18(f20(c29,B),C),A),D)),D)| -p21(f5(f7(f10(c24,f12(c28,B)),A),C),D).
% 1.76/1.96 ** KEPT (pick-wt=25): 25 [] p21(f5(f7(f10(c24,f12(c28,A)),B),C),D)| -p21(f5(B,E),D)| -p21(f5(f7(f10(c24,A),B),C),E).
% 1.76/1.96 ** KEPT (pick-wt=28): 26 [] p21(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c29,A),C),B),D))| -p21(f5(f7(f10(c24,f12(c28,A)),B),C),D).
% 1.76/1.96
% 1.76/1.96 ------------> process sos:
% 1.76/1.96 ** KEPT (pick-wt=3): 27 [] p11(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 28 [] p9(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 29 [] p8(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 30 [] p6(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 31 [] p4(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 32 [] p3(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 33 [] p2(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 34 [] p19(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 35 [] p17(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 36 [] p15(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 37 [] p13(A,A).
% 1.76/1.96 ** KEPT (pick-wt=13): 38 [] p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27).
% 1.76/1.96
% 1.76/1.96 ======= end of input processing =======
% 1.76/1.96
% 1.76/1.96 =========== start of search ===========
% 1.76/1.96
% 1.76/1.96 -------- PROOF --------
% 1.76/1.96
% 1.76/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 74 [hyper,73,23,39] $F.
% 1.76/1.96
% 1.76/1.96 Length of proof is 7. Level of proof is 5.
% 1.76/1.96
% 1.76/1.96 ---------------- PROOF ----------------
% 1.76/1.96 % SZS status Unsatisfiable
% 1.76/1.96 % SZS output start Refutation
% See solution above
% 1.76/1.96 ------------ end of proof -------------
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96 ============ end of search ============
% 1.76/1.96
% 1.76/1.96 -------------- statistics -------------
% 1.76/1.96 clauses given 24
% 1.76/1.96 clauses generated 111
% 1.76/1.96 clauses kept 73
% 1.76/1.96 clauses forward subsumed 75
% 1.76/1.96 clauses back subsumed 2
% 1.76/1.96 Kbytes malloced 1953
% 1.76/1.96
% 1.76/1.96 ----------- times (seconds) -----------
% 1.76/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.76/1.96
% 1.76/1.96 That finishes the proof of the theorem.
% 1.76/1.96
% 1.76/1.96 Process 19705 finished Wed Jul 27 11:22:37 2022
% 1.76/1.96 Otter interrupted
% 1.76/1.96 PROOF FOUND
%------------------------------------------------------------------------------