TSTP Solution File: SYN986+1.003 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 08:14:36 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n024.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 : 600
% 0.12/0.33 % DateTime : Mon Jul 11 15:47:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Theorem
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 ~r(zero,X0,X1) | ~r(zero,X2,X0) | ~r(zero,X3,X2) | ~r(zero,zero,X3)).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 ~r(zero,X0,X1) | ~r(zero,X2,X0) | ~r(zero,X3,X2) | ~r(zero,zero,X3),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 r(X4,succ(X5),X6) | ~r(X7,X5,X6) | ~r(X4,X5,X7)).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 zero = X4).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 X0 = succ(X5)).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 X1 = X6).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 ~r(zero,X2,X0) | ~r(zero,X3,X2) | ~r(zero,zero,X3),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 ~r(X7,X5,X6) | ~r(X4,X5,X7),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(c5, axiom,
% 0.12/0.34 r(X8,succ(X9),X10) | ~r(X11,X9,X10) | ~r(X8,X9,X11)).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 X7 = X8).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 X5 = succ(X9)).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 X6 = X10).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 ~r(X4,X5,X7),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 ~r(X11,X9,X10) | ~r(X8,X9,X11),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.34
% 0.12/0.34 cnf(c8, axiom,
% 0.12/0.34 r(X12,succ(X13),X14) | ~r(X15,X13,X14) | ~r(X12,X13,X15)).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 X11 = X12).
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 X9 = succ(X13)).
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 X10 = X14).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 ~r(X8,X9,X11),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.12/0.34 cnf(c10, plain,
% 0.12/0.34 ~r(X15,X13,X14) | ~r(X12,X13,X15),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.12/0.34
% 0.12/0.34 cnf(c11, axiom,
% 0.12/0.34 r(X16,succ(X17),X18) | ~r(X19,X17,X18) | ~r(X16,X17,X19)).
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 X15 = X16).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 X13 = succ(X17)).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 X14 = X18).
% 0.12/0.34 cnf(c12, plain,
% 0.12/0.34 ~r(X12,X13,X15),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.12/0.34 cnf(c13, plain,
% 0.12/0.34 ~r(X19,X17,X18) | ~r(X16,X17,X19),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.12/0.34
% 0.12/0.34 cnf(c14, axiom,
% 0.12/0.34 r(X20,zero,succ(X20))).
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 X19 = X20).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 X17 = zero).
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 X18 = succ(X20)).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 ~r(X16,X17,X19),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.12/0.34
% 0.12/0.34 cnf(c17, axiom,
% 0.12/0.34 r(X21,zero,succ(X21))).
% 0.12/0.34 cnf(a15, assumption,
% 0.12/0.34 X16 = X21).
% 0.12/0.34 cnf(a16, assumption,
% 0.12/0.34 X17 = zero).
% 0.12/0.34 cnf(a17, assumption,
% 0.12/0.34 X19 = succ(X21)).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 0.12/0.34
% 0.12/0.34 cnf(c20, axiom,
% 0.12/0.34 r(X22,succ(X23),X24) | ~r(X25,X23,X24) | ~r(X22,X23,X25)).
% 0.12/0.34 cnf(a18, assumption,
% 0.12/0.34 X12 = X22).
% 0.12/0.34 cnf(a19, assumption,
% 0.12/0.34 X13 = succ(X23)).
% 0.12/0.34 cnf(a20, assumption,
% 0.12/0.34 X15 = X24).
% 0.12/0.34 cnf(c21, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c12, c20])).
% 0.12/0.34 cnf(c22, plain,
% 0.12/0.34 ~r(X25,X23,X24) | ~r(X22,X23,X25),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c12, c20])).
% 0.12/0.34
% 0.12/0.34 cnf(c23, axiom,
% 0.12/0.34 r(X26,zero,succ(X26))).
% 0.12/0.34 cnf(a21, assumption,
% 0.12/0.34 X25 = X26).
% 0.12/0.34 cnf(a22, assumption,
% 0.12/0.34 X23 = zero).
% 0.12/0.34 cnf(a23, assumption,
% 0.12/0.34 X24 = succ(X26)).
% 0.12/0.34 cnf(c24, plain,
% 0.12/0.34 ~r(X22,X23,X25),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 0.12/0.34 cnf(c25, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 0.12/0.34
% 0.12/0.34 cnf(c26, axiom,
% 0.12/0.34 r(X27,zero,succ(X27))).
% 0.12/0.34 cnf(a24, assumption,
% 0.12/0.34 X22 = X27).
% 0.12/0.34 cnf(a25, assumption,
% 0.12/0.34 X23 = zero).
% 0.12/0.34 cnf(a26, assumption,
% 0.12/0.34 X25 = succ(X27)).
% 0.12/0.34 cnf(c27, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c24, c26])).
% 0.12/0.34 cnf(c28, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c24, c26])).
% 0.12/0.34
% 0.12/0.34 cnf(c29, axiom,
% 0.12/0.34 r(X28,succ(X29),X30) | ~r(X31,X29,X30) | ~r(X28,X29,X31)).
% 0.12/0.34 cnf(a27, assumption,
% 0.12/0.34 X8 = X28).
% 0.12/0.34 cnf(a28, assumption,
% 0.12/0.34 X9 = succ(X29)).
% 0.12/0.34 cnf(a29, assumption,
% 0.12/0.34 X11 = X30).
% 0.12/0.34 cnf(c30, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c9, c29])).
% 0.12/0.34 cnf(c31, plain,
% 0.12/0.34 ~r(X31,X29,X30) | ~r(X28,X29,X31),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c9, c29])).
% 0.12/0.34
% 0.12/0.34 cnf(c32, axiom,
% 0.12/0.34 r(X32,succ(X33),X34) | ~r(X35,X33,X34) | ~r(X32,X33,X35)).
% 0.12/0.34 cnf(a30, assumption,
% 0.12/0.34 X31 = X32).
% 0.12/0.34 cnf(a31, assumption,
% 0.12/0.34 X29 = succ(X33)).
% 0.12/0.34 cnf(a32, assumption,
% 0.12/0.34 X30 = X34).
% 0.12/0.34 cnf(c33, plain,
% 0.12/0.34 ~r(X28,X29,X31),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c31, c32])).
% 0.12/0.34 cnf(c34, plain,
% 0.12/0.34 ~r(X35,X33,X34) | ~r(X32,X33,X35),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c31, c32])).
% 0.12/0.34
% 0.12/0.34 cnf(c35, axiom,
% 0.12/0.34 r(X36,zero,succ(X36))).
% 0.12/0.34 cnf(a33, assumption,
% 0.12/0.34 X35 = X36).
% 0.12/0.34 cnf(a34, assumption,
% 0.12/0.34 X33 = zero).
% 0.12/0.34 cnf(a35, assumption,
% 0.12/0.34 X34 = succ(X36)).
% 0.12/0.34 cnf(c36, plain,
% 0.12/0.34 ~r(X32,X33,X35),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c34, c35])).
% 0.12/0.34 cnf(c37, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c34, c35])).
% 0.12/0.35
% 0.12/0.35 cnf(c38, axiom,
% 0.12/0.35 r(X37,zero,succ(X37))).
% 0.12/0.35 cnf(a36, assumption,
% 0.12/0.35 X32 = X37).
% 0.12/0.35 cnf(a37, assumption,
% 0.12/0.35 X33 = zero).
% 0.12/0.35 cnf(a38, assumption,
% 0.12/0.35 X35 = succ(X37)).
% 0.12/0.35 cnf(c39, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c36, c38])).
% 0.12/0.35 cnf(c40, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c36, c38])).
% 0.12/0.35
% 0.12/0.35 cnf(c41, axiom,
% 0.12/0.35 r(X38,succ(X39),X40) | ~r(X41,X39,X40) | ~r(X38,X39,X41)).
% 0.12/0.35 cnf(a39, assumption,
% 0.12/0.35 X28 = X38).
% 0.12/0.35 cnf(a40, assumption,
% 0.12/0.35 X29 = succ(X39)).
% 0.12/0.35 cnf(a41, assumption,
% 0.12/0.35 X31 = X40).
% 0.12/0.35 cnf(c42, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a39, a40, a41])], [c33, c41])).
% 0.12/0.35 cnf(c43, plain,
% 0.12/0.35 ~r(X41,X39,X40) | ~r(X38,X39,X41),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a39, a40, a41])], [c33, c41])).
% 0.12/0.35
% 0.12/0.35 cnf(c44, axiom,
% 0.12/0.35 r(X42,zero,succ(X42))).
% 0.12/0.35 cnf(a42, assumption,
% 0.12/0.35 X41 = X42).
% 0.12/0.35 cnf(a43, assumption,
% 0.12/0.35 X39 = zero).
% 0.12/0.35 cnf(a44, assumption,
% 0.12/0.35 X40 = succ(X42)).
% 0.12/0.35 cnf(c45, plain,
% 0.12/0.35 ~r(X38,X39,X41),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a42, a43, a44])], [c43, c44])).
% 0.12/0.35 cnf(c46, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a42, a43, a44])], [c43, c44])).
% 0.12/0.35
% 0.12/0.35 cnf(c47, axiom,
% 0.12/0.35 r(X43,zero,succ(X43))).
% 0.12/0.35 cnf(a45, assumption,
% 0.12/0.35 X38 = X43).
% 0.12/0.35 cnf(a46, assumption,
% 0.12/0.35 X39 = zero).
% 0.12/0.35 cnf(a47, assumption,
% 0.12/0.35 X41 = succ(X43)).
% 0.12/0.35 cnf(c48, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a45, a46, a47])], [c45, c47])).
% 0.12/0.35 cnf(c49, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a45, a46, a47])], [c45, c47])).
% 0.12/0.35
% 0.12/0.35 cnf(c50, axiom,
% 0.12/0.35 r(X44,succ(X45),X46) | ~r(X47,X45,X46) | ~r(X44,X45,X47)).
% 0.12/0.35 cnf(a48, assumption,
% 0.12/0.35 X4 = X44).
% 0.12/0.35 cnf(a49, assumption,
% 0.12/0.35 X5 = succ(X45)).
% 0.12/0.35 cnf(a50, assumption,
% 0.12/0.35 X7 = X46).
% 0.12/0.35 cnf(c51, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a48, a49, a50])], [c6, c50])).
% 0.12/0.35 cnf(c52, plain,
% 0.12/0.35 ~r(X47,X45,X46) | ~r(X44,X45,X47),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a48, a49, a50])], [c6, c50])).
% 0.12/0.35
% 0.12/0.35 cnf(c53, axiom,
% 0.12/0.35 r(X48,succ(X49),X50) | ~r(X51,X49,X50) | ~r(X48,X49,X51)).
% 0.12/0.35 cnf(a51, assumption,
% 0.12/0.35 X47 = X48).
% 0.12/0.35 cnf(a52, assumption,
% 0.12/0.35 X45 = succ(X49)).
% 0.12/0.35 cnf(a53, assumption,
% 0.12/0.35 X46 = X50).
% 0.12/0.35 cnf(c54, plain,
% 0.12/0.35 ~r(X44,X45,X47),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a51, a52, a53])], [c52, c53])).
% 0.12/0.35 cnf(c55, plain,
% 0.12/0.35 ~r(X51,X49,X50) | ~r(X48,X49,X51),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a51, a52, a53])], [c52, c53])).
% 0.12/0.35
% 0.12/0.35 cnf(c56, axiom,
% 0.12/0.35 r(X52,succ(X53),X54) | ~r(X55,X53,X54) | ~r(X52,X53,X55)).
% 0.12/0.35 cnf(a54, assumption,
% 0.12/0.35 X51 = X52).
% 0.12/0.35 cnf(a55, assumption,
% 0.12/0.35 X49 = succ(X53)).
% 0.12/0.35 cnf(a56, assumption,
% 0.12/0.35 X50 = X54).
% 0.12/0.35 cnf(c57, plain,
% 0.12/0.35 ~r(X48,X49,X51),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a54, a55, a56])], [c55, c56])).
% 0.12/0.35 cnf(c58, plain,
% 0.12/0.35 ~r(X55,X53,X54) | ~r(X52,X53,X55),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a54, a55, a56])], [c55, c56])).
% 0.12/0.35
% 0.12/0.35 cnf(c59, axiom,
% 0.12/0.35 r(X56,zero,succ(X56))).
% 0.12/0.35 cnf(a57, assumption,
% 0.12/0.35 X55 = X56).
% 0.12/0.35 cnf(a58, assumption,
% 0.12/0.35 X53 = zero).
% 0.12/0.35 cnf(a59, assumption,
% 0.12/0.35 X54 = succ(X56)).
% 0.12/0.35 cnf(c60, plain,
% 0.12/0.35 ~r(X52,X53,X55),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a57, a58, a59])], [c58, c59])).
% 0.12/0.35 cnf(c61, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a57, a58, a59])], [c58, c59])).
% 0.12/0.35
% 0.12/0.35 cnf(c62, axiom,
% 0.12/0.35 r(X57,zero,succ(X57))).
% 0.12/0.35 cnf(a60, assumption,
% 0.12/0.35 X52 = X57).
% 0.12/0.35 cnf(a61, assumption,
% 0.12/0.35 X53 = zero).
% 0.12/0.35 cnf(a62, assumption,
% 0.12/0.35 X55 = succ(X57)).
% 0.12/0.35 cnf(c63, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a60, a61, a62])], [c60, c62])).
% 0.12/0.35 cnf(c64, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a60, a61, a62])], [c60, c62])).
% 0.12/0.35
% 0.12/0.35 cnf(c65, axiom,
% 0.12/0.35 r(X58,succ(X59),X60) | ~r(X61,X59,X60) | ~r(X58,X59,X61)).
% 0.12/0.35 cnf(a63, assumption,
% 0.12/0.35 X48 = X58).
% 0.12/0.35 cnf(a64, assumption,
% 0.12/0.35 X49 = succ(X59)).
% 0.12/0.35 cnf(a65, assumption,
% 0.12/0.35 X51 = X60).
% 0.12/0.35 cnf(c66, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a63, a64, a65])], [c57, c65])).
% 0.12/0.35 cnf(c67, plain,
% 0.12/0.35 ~r(X61,X59,X60) | ~r(X58,X59,X61),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a63, a64, a65])], [c57, c65])).
% 0.12/0.35
% 0.12/0.35 cnf(c68, axiom,
% 0.12/0.35 r(X62,zero,succ(X62))).
% 0.12/0.35 cnf(a66, assumption,
% 0.12/0.35 X61 = X62).
% 0.12/0.35 cnf(a67, assumption,
% 0.12/0.35 X59 = zero).
% 0.12/0.35 cnf(a68, assumption,
% 0.12/0.35 X60 = succ(X62)).
% 0.12/0.35 cnf(c69, plain,
% 0.12/0.35 ~r(X58,X59,X61),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a66, a67, a68])], [c67, c68])).
% 0.12/0.35 cnf(c70, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a66, a67, a68])], [c67, c68])).
% 0.12/0.35
% 0.12/0.35 cnf(c71, axiom,
% 0.12/0.35 r(X63,zero,succ(X63))).
% 0.12/0.35 cnf(a69, assumption,
% 0.12/0.35 X58 = X63).
% 0.12/0.35 cnf(a70, assumption,
% 0.12/0.35 X59 = zero).
% 0.12/0.35 cnf(a71, assumption,
% 0.12/0.35 X61 = succ(X63)).
% 0.12/0.35 cnf(c72, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a69, a70, a71])], [c69, c71])).
% 0.12/0.35 cnf(c73, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a69, a70, a71])], [c69, c71])).
% 0.12/0.35
% 0.12/0.35 cnf(c74, axiom,
% 0.12/0.35 r(X64,succ(X65),X66) | ~r(X67,X65,X66) | ~r(X64,X65,X67)).
% 0.12/0.35 cnf(a72, assumption,
% 0.12/0.35 X44 = X64).
% 0.12/0.35 cnf(a73, assumption,
% 0.12/0.35 X45 = succ(X65)).
% 0.12/0.35 cnf(a74, assumption,
% 0.12/0.35 X47 = X66).
% 0.12/0.35 cnf(c75, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a72, a73, a74])], [c54, c74])).
% 0.12/0.35 cnf(c76, plain,
% 0.12/0.35 ~r(X67,X65,X66) | ~r(X64,X65,X67),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a72, a73, a74])], [c54, c74])).
% 0.12/0.35
% 0.12/0.35 cnf(c77, axiom,
% 0.12/0.35 r(X68,succ(X69),X70) | ~r(X71,X69,X70) | ~r(X68,X69,X71)).
% 0.12/0.35 cnf(a75, assumption,
% 0.12/0.35 X67 = X68).
% 0.12/0.35 cnf(a76, assumption,
% 0.12/0.35 X65 = succ(X69)).
% 0.12/0.35 cnf(a77, assumption,
% 0.12/0.35 X66 = X70).
% 0.12/0.35 cnf(c78, plain,
% 0.12/0.35 ~r(X64,X65,X67),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a75, a76, a77])], [c76, c77])).
% 0.12/0.35 cnf(c79, plain,
% 0.12/0.35 ~r(X71,X69,X70) | ~r(X68,X69,X71),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a75, a76, a77])], [c76, c77])).
% 0.12/0.35
% 0.12/0.35 cnf(c80, axiom,
% 0.12/0.35 r(X72,zero,succ(X72))).
% 0.12/0.35 cnf(a78, assumption,
% 0.12/0.35 X71 = X72).
% 0.12/0.35 cnf(a79, assumption,
% 0.12/0.35 X69 = zero).
% 0.12/0.35 cnf(a80, assumption,
% 0.12/0.35 X70 = succ(X72)).
% 0.12/0.35 cnf(c81, plain,
% 0.12/0.35 ~r(X68,X69,X71),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a78, a79, a80])], [c79, c80])).
% 0.12/0.35 cnf(c82, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a78, a79, a80])], [c79, c80])).
% 0.12/0.35
% 0.12/0.35 cnf(c83, axiom,
% 0.12/0.35 r(X73,zero,succ(X73))).
% 0.12/0.35 cnf(a81, assumption,
% 0.12/0.35 X68 = X73).
% 0.12/0.35 cnf(a82, assumption,
% 0.12/0.35 X69 = zero).
% 0.12/0.35 cnf(a83, assumption,
% 0.12/0.35 X71 = succ(X73)).
% 0.12/0.35 cnf(c84, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a81, a82, a83])], [c81, c83])).
% 0.12/0.35 cnf(c85, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a81, a82, a83])], [c81, c83])).
% 0.12/0.35
% 0.12/0.35 cnf(c86, axiom,
% 0.12/0.35 r(X74,succ(X75),X76) | ~r(X77,X75,X76) | ~r(X74,X75,X77)).
% 0.12/0.35 cnf(a84, assumption,
% 0.12/0.35 X64 = X74).
% 0.12/0.35 cnf(a85, assumption,
% 0.12/0.35 X65 = succ(X75)).
% 0.12/0.35 cnf(a86, assumption,
% 0.12/0.35 X67 = X76).
% 0.12/0.35 cnf(c87, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a84, a85, a86])], [c78, c86])).
% 0.12/0.35 cnf(c88, plain,
% 0.12/0.35 ~r(X77,X75,X76) | ~r(X74,X75,X77),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a84, a85, a86])], [c78, c86])).
% 0.12/0.35
% 0.12/0.35 cnf(c89, axiom,
% 0.12/0.35 r(X78,zero,succ(X78))).
% 0.12/0.35 cnf(a87, assumption,
% 0.12/0.35 X77 = X78).
% 0.12/0.35 cnf(a88, assumption,
% 0.12/0.35 X75 = zero).
% 0.12/0.35 cnf(a89, assumption,
% 0.12/0.35 X76 = succ(X78)).
% 0.12/0.35 cnf(c90, plain,
% 0.12/0.35 ~r(X74,X75,X77),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a87, a88, a89])], [c88, c89])).
% 0.12/0.35 cnf(c91, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a87, a88, a89])], [c88, c89])).
% 0.12/0.35
% 0.12/0.35 cnf(c92, axiom,
% 0.12/0.35 r(X79,zero,succ(X79))).
% 0.12/0.35 cnf(a90, assumption,
% 0.12/0.35 X74 = X79).
% 0.12/0.35 cnf(a91, assumption,
% 0.12/0.35 X75 = zero).
% 0.12/0.35 cnf(a92, assumption,
% 0.12/0.35 X77 = succ(X79)).
% 0.12/0.35 cnf(c93, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a90, a91, a92])], [c90, c92])).
% 0.12/0.35 cnf(c94, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a90, a91, a92])], [c90, c92])).
% 0.12/0.35
% 0.12/0.35 cnf(c95, plain,
% 0.12/0.35 r(X44,X45,X47)).
% 0.12/0.35 cnf(a93, assumption,
% 0.12/0.35 zero = X44).
% 0.12/0.35 cnf(a94, assumption,
% 0.12/0.35 X2 = X45).
% 0.12/0.35 cnf(a95, assumption,
% 0.12/0.35 X0 = X47).
% 0.12/0.35 cnf(c96, plain,
% 0.12/0.35 ~r(zero,X3,X2) | ~r(zero,zero,X3),
% 0.12/0.35 inference(predicate_reduction, [assumptions([a93, a94, a95])], [c3, c95])).
% 0.12/0.35
% 0.12/0.35 cnf(c97, plain,
% 0.12/0.35 r(X64,X65,X67)).
% 0.12/0.35 cnf(a96, assumption,
% 0.12/0.35 zero = X64).
% 0.12/0.35 cnf(a97, assumption,
% 0.12/0.35 X3 = X65).
% 0.12/0.35 cnf(a98, assumption,
% 0.12/0.35 X2 = X67).
% 0.12/0.35 cnf(c98, plain,
% 0.12/0.35 ~r(zero,zero,X3),
% 0.12/0.35 inference(predicate_reduction, [assumptions([a96, a97, a98])], [c96, c97])).
% 0.12/0.35
% 0.12/0.35 cnf(c99, plain,
% 0.12/0.35 r(X74,X75,X77)).
% 0.12/0.35 cnf(a99, assumption,
% 0.12/0.35 zero = X74).
% 0.12/0.35 cnf(a100, assumption,
% 0.12/0.35 zero = X75).
% 0.12/0.35 cnf(a101, assumption,
% 0.12/0.35 X3 = X77).
% 0.12/0.35 cnf(c100, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a99, a100, a101])], [c98, c99])).
% 0.12/0.35
% 0.12/0.35 cnf(c101, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(constraint_solving, [
% 0.12/0.35 bind(X0, succ(X5)),
% 0.12/0.35 bind(X1, succ(X20)),
% 0.12/0.35 bind(X2, succ(X13)),
% 0.12/0.35 bind(X3, succ(X17)),
% 0.12/0.35 bind(X4, zero),
% 0.12/0.35 bind(X5, succ(X9)),
% 0.12/0.35 bind(X6, succ(X20)),
% 0.12/0.35 bind(X7, succ(X56)),
% 0.12/0.35 bind(X8, succ(X56)),
% 0.12/0.35 bind(X9, succ(X13)),
% 0.12/0.35 bind(X10, succ(X20)),
% 0.12/0.35 bind(X11, succ(X36)),
% 0.12/0.35 bind(X12, succ(X36)),
% 0.12/0.35 bind(X13, succ(X17)),
% 0.12/0.35 bind(X14, succ(X20)),
% 0.12/0.35 bind(X15, succ(X26)),
% 0.12/0.35 bind(X16, succ(X26)),
% 0.12/0.35 bind(X17, zero),
% 0.12/0.35 bind(X18, succ(X20)),
% 0.12/0.35 bind(X19, succ(X21)),
% 0.12/0.35 bind(X20, succ(X21)),
% 0.12/0.35 bind(X21, succ(X26)),
% 0.12/0.35 bind(X22, succ(X36)),
% 0.12/0.35 bind(X23, zero),
% 0.12/0.35 bind(X24, succ(X26)),
% 0.12/0.35 bind(X25, succ(X27)),
% 0.12/0.35 bind(X26, succ(X27)),
% 0.12/0.35 bind(X27, succ(X36)),
% 0.12/0.35 bind(X28, succ(X56)),
% 0.12/0.35 bind(X29, succ(X17)),
% 0.12/0.35 bind(X30, succ(X36)),
% 0.12/0.35 bind(X31, succ(X42)),
% 0.12/0.35 bind(X32, succ(X42)),
% 0.12/0.35 bind(X33, zero),
% 0.12/0.35 bind(X34, succ(X36)),
% 0.12/0.35 bind(X35, succ(X37)),
% 0.12/0.35 bind(X36, succ(X37)),
% 0.12/0.35 bind(X37, succ(X42)),
% 0.12/0.35 bind(X38, succ(X56)),
% 0.12/0.35 bind(X39, zero),
% 0.12/0.35 bind(X40, succ(X42)),
% 0.12/0.35 bind(X41, succ(X43)),
% 0.12/0.35 bind(X42, succ(X43)),
% 0.12/0.35 bind(X43, succ(X56)),
% 0.12/0.35 bind(X44, zero),
% 0.12/0.35 bind(X45, succ(X13)),
% 0.12/0.35 bind(X46, succ(X56)),
% 0.12/0.35 bind(X47, succ(X72)),
% 0.12/0.35 bind(X48, succ(X72)),
% 0.12/0.35 bind(X49, succ(X17)),
% 0.12/0.35 bind(X50, succ(X56)),
% 0.12/0.35 bind(X51, succ(X62)),
% 0.12/0.35 bind(X52, succ(X62)),
% 0.12/0.35 bind(X53, zero),
% 0.12/0.35 bind(X54, succ(X56)),
% 0.12/0.35 bind(X55, succ(X57)),
% 0.12/0.35 bind(X56, succ(X57)),
% 0.12/0.35 bind(X57, succ(X62)),
% 0.12/0.35 bind(X58, succ(X72)),
% 0.12/0.35 bind(X59, zero),
% 0.12/0.35 bind(X60, succ(X62)),
% 0.12/0.35 bind(X61, succ(X63)),
% 0.12/0.35 bind(X62, succ(X63)),
% 0.12/0.35 bind(X63, succ(X72)),
% 0.12/0.35 bind(X64, zero),
% 0.12/0.35 bind(X65, succ(X17)),
% 0.12/0.35 bind(X66, succ(X72)),
% 0.12/0.35 bind(X67, succ(X78)),
% 0.12/0.35 bind(X68, succ(X78)),
% 0.12/0.35 bind(X69, zero),
% 0.12/0.35 bind(X70, succ(X72)),
% 0.12/0.35 bind(X71, succ(X73)),
% 0.12/0.35 bind(X72, succ(X73)),
% 0.12/0.35 bind(X73, succ(X78)),
% 0.12/0.35 bind(X74, zero),
% 0.12/0.35 bind(X75, zero),
% 0.12/0.35 bind(X76, succ(X78)),
% 0.12/0.35 bind(X77, succ(X79)),
% 0.12/0.35 bind(X78, succ(X79)),
% 0.12/0.35 bind(X79, zero)
% 0.12/0.35 ],
% 0.12/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69, a70, a71, a72, a73, a74, a75, a76, a77, a78, a79, a80, a81, a82, a83, a84, a85, a86, a87, a88, a89, a90, a91, a92, a93, a94, a95, a96, a97, a98, a99, a100, a101])).
% 0.12/0.35
% 0.12/0.35 % SZS output end IncompleteProof
%------------------------------------------------------------------------------