%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------