%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM849+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:53:26 AM UTC 2026
% Result : Theorem 251.15s 251.64s
% Output : Proof 253.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.58 % Computer : n009.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Sat Sep 19 19:21:28 UTC 2026
% 0.11/0.58 % CPUTime :
% 251.15/251.64 % SZS status Theorem for theBenchmark
% 251.15/251.64 % SZS output start Proof for theBenchmark
% 252.95/253.42 fof(qu(ind(296), imp(296)), conjecture,
% 252.95/253.42 ! [ Vd454 ] : ( vmul(vmul(vd448, vd449), Vd454) = vmul(vd448, vmul(vd449, Vd454)) => vmul(vmul(vd448, vd449), vsucc(Vd454)) = vmul(vd448, vmul(vd449, vsucc(Vd454))) ),
% 252.95/253.42 file('theBenchmark.p', qu(ind(296), imp(296))) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(conseq(292), 1), 0), axiom,
% 252.95/253.42 ! [ Vd451 ] : ( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) => vmul(vd448, vplus(vmul(vd449, Vd451), vd449)) = vmul(vd448, vmul(vd449, vsucc(Vd451))) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(conseq(292), 1), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(conseq(292), 1), 1), axiom,
% 252.95/253.42 ! [ Vd451 ] : ( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) => vplus(vmul(vd448, vmul(vd449, Vd451)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, Vd451), vd449)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(conseq(292), 1), 1)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(conseq(292), 1), 2), axiom,
% 252.95/253.42 ! [ Vd451 ] : ( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) => vplus(vmul(vmul(vd448, vd449), Vd451), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, Vd451)), vmul(vd448, vd449)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(conseq(292), 1), 2)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(conseq(292), 1), 3), axiom,
% 252.95/253.42 ! [ Vd451 ] : ( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) => vmul(vmul(vd448, vd449), vsucc(Vd451)) = vplus(vmul(vmul(vd448, vd449), Vd451), vmul(vd448, vd449)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(conseq(292), 1), 3)) ).
% 252.95/253.42
% 252.95/253.42 fof(holds(293, 450, 1), axiom,
% 252.95/253.42 vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)),
% 252.95/253.42 file('theBenchmark.p', holds(293, 450, 1)) ).
% 252.95/253.42
% 252.95/253.42 fof(holds(293, 450, 0), axiom,
% 252.95/253.42 vmul(vmul(vd448, vd449), v1) = vmul(vd448, vd449),
% 252.95/253.42 file('theBenchmark.p', holds(293, 450, 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(281, 0), 0), axiom,
% 252.95/253.42 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 252.95/253.42 file('theBenchmark.p', ass(cond(281, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(270, 0), 0), axiom,
% 252.95/253.42 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 252.95/253.42 file('theBenchmark.p', ass(cond(270, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(261, 0), 0), axiom,
% 252.95/253.42 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 252.95/253.42 file('theBenchmark.p', ass(cond(261, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(253, 0), 0), axiom,
% 252.95/253.42 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 252.95/253.42 file('theBenchmark.p', ass(cond(253, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), axiom,
% 252.95/253.42 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 252.95/253.42 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(241, 0), 0), axiom,
% 252.95/253.42 ! [ Vd386,Vd387 ] : ( less(Vd386, vplus(Vd387, v1)) => leq(Vd386, Vd387) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(241, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(234, 0), 0), axiom,
% 252.95/253.42 ! [ Vd375,Vd376 ] : ( greater(Vd375, Vd376) => geq(Vd375, vplus(Vd376, v1)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(234, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(228, 0), 0), axiom,
% 252.95/253.42 ! [ Vd369 ] : geq(Vd369, v1),
% 252.95/253.42 file('theBenchmark.p', ass(cond(228, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(223, 0), 0), axiom,
% 252.95/253.42 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( geq(Vd365, Vd366) & geq(Vd362, Vd363) ) => geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(223, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(216), 0), 0), axiom,
% 252.95/253.42 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( greater(Vd355, Vd356) & geq(Vd353, Vd354) ) | ( geq(Vd355, Vd356) & greater(Vd353, Vd354) ) ) => greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(216), 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(209, 0), 0), axiom,
% 252.95/253.42 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( greater(Vd340, Vd341) & greater(Vd337, Vd338) ) => greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(209, 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(202), 0), 0), axiom,
% 252.95/253.42 ! [ Vd328,Vd329,Vd330 ] : ( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => less(Vd328, Vd329) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(202), 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(202), 0), 1), axiom,
% 252.95/253.42 ! [ Vd328,Vd329,Vd330 ] : ( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) => Vd328 = Vd329 ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(202), 0), 1)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(202), 0), 2), axiom,
% 252.95/253.42 ! [ Vd328,Vd329,Vd330 ] : ( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => greater(Vd328, Vd329) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(202), 0), 2)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(193), 0), 0), axiom,
% 252.95/253.42 ! [ Vd301,Vd302,Vd303 ] : ( less(Vd301, Vd302) => less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(193), 0), 0)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(193), 0), 1), axiom,
% 252.95/253.42 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 252.95/253.42
% 252.95/253.42 fof(ass(cond(goal(193), 0), 2), axiom,
% 252.95/253.42 ! [ Vd301,Vd302,Vd303 ] : ( greater(Vd301, Vd302) => greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 252.95/253.42 file('theBenchmark.p', ass(cond(goal(193), 0), 2)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(189, 0), 0), axiom,
% 252.95/253.43 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 252.95/253.43 file('theBenchmark.p', ass(cond(189, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(184, 0), 0), axiom,
% 252.95/253.43 ! [ Vd289,Vd290,Vd292 ] : ( ( leq(Vd290, Vd292) & leq(Vd289, Vd290) ) => leq(Vd289, Vd292) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(184, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(177), 0), 0), axiom,
% 252.95/253.43 ! [ Vd281,Vd282,Vd283 ] : ( ( ( less(Vd282, Vd283) & leq(Vd281, Vd282) ) | ( leq(Vd282, Vd283) & less(Vd281, Vd282) ) ) => less(Vd281, Vd283) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(177), 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(168, 0), 0), axiom,
% 252.95/253.43 ! [ Vd262,Vd263,Vd265 ] : ( ( less(Vd263, Vd265) & less(Vd262, Vd263) ) => less(Vd262, Vd265) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(168, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(163, 0), 0), axiom,
% 252.95/253.43 ! [ Vd258,Vd259 ] : ( leq(Vd258, Vd259) => geq(Vd259, Vd258) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(163, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(158, 0), 0), axiom,
% 252.95/253.43 ! [ Vd254,Vd255 ] : ( geq(Vd254, Vd255) => leq(Vd255, Vd254) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(158, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(def(cond(conseq(axiom(3)), 17), 1), axiom,
% 252.95/253.43 ! [ Vd249,Vd250 ] : ( leq(Vd250, Vd249) <=> ( less(Vd250, Vd249) | Vd250 = Vd249 ) ),
% 252.95/253.43 file('theBenchmark.p', def(cond(conseq(axiom(3)), 17), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(def(cond(conseq(axiom(3)), 16), 1), axiom,
% 252.95/253.43 ! [ Vd244,Vd245 ] : ( geq(Vd245, Vd244) <=> ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ),
% 252.95/253.43 file('theBenchmark.p', def(cond(conseq(axiom(3)), 16), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(147, 0), 0), axiom,
% 252.95/253.43 ! [ Vd226,Vd227 ] : ( less(Vd226, Vd227) => greater(Vd227, Vd226) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(147, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(140, 0), 0), axiom,
% 252.95/253.43 ! [ Vd208,Vd209 ] : ( greater(Vd208, Vd209) => less(Vd209, Vd208) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(140, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(130), 0), 0), axiom,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(130), 0), 1), axiom,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(130), 0), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(130), 0), 2), axiom,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(130), 0), 3), axiom,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 252.95/253.43
% 252.95/253.43 fof(def(cond(conseq(axiom(3)), 12), 1), axiom,
% 252.95/253.43 ! [ Vd198,Vd199 ] : ( less(Vd199, Vd198) <=> ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ),
% 252.95/253.43 file('theBenchmark.p', def(cond(conseq(axiom(3)), 12), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(def(cond(conseq(axiom(3)), 11), 1), axiom,
% 252.95/253.43 ! [ Vd193,Vd194 ] : ( greater(Vd194, Vd193) <=> ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ),
% 252.95/253.43 file('theBenchmark.p', def(cond(conseq(axiom(3)), 11), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(88), 0), 0), axiom,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(88), 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(88), 0), 1), axiom,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(88), 0), 1)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(88), 0), 2), axiom,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(88), 0), 2)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(goal(88), 0), 3), axiom,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(goal(88), 0), 3)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(81, 0), 0), axiom,
% 252.95/253.43 ! [ Vd104,Vd105 ] : ( ~( Vd104 = Vd105 ) => ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(81, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(73, 0), 0), axiom,
% 252.95/253.43 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(73, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(61, 0), 0), axiom,
% 252.95/253.43 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 252.95/253.43 file('theBenchmark.p', ass(cond(61, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(52, 0), 0), axiom,
% 252.95/253.43 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 252.95/253.43 file('theBenchmark.p', ass(cond(52, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(43, 0), 0), axiom,
% 252.95/253.43 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 252.95/253.43 file('theBenchmark.p', ass(cond(43, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(33, 0), 0), axiom,
% 252.95/253.43 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 252.95/253.43 file('theBenchmark.p', ass(cond(33, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), axiom,
% 252.95/253.43 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 252.95/253.43 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(20, 0), 0), axiom,
% 252.95/253.43 ! [ Vd24 ] : ( ~( Vd24 = v1 ) => Vd24 = vsucc(vskolem2(Vd24)) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(20, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(12, 0), 0), axiom,
% 252.95/253.43 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(12, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(ass(cond(6, 0), 0), axiom,
% 252.95/253.43 ! [ Vd7,Vd8 ] : ( ~( Vd7 = Vd8 ) => ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 252.95/253.43 file('theBenchmark.p', ass(cond(6, 0), 0)) ).
% 252.95/253.43
% 252.95/253.43 fof(qu(antec(axiom(3)), imp(antec(axiom(3)))), axiom,
% 252.95/253.43 ! [ Vd3,Vd4 ] : ( vsucc(Vd3) = vsucc(Vd4) => Vd3 = Vd4 ),
% 252.95/253.43 file('theBenchmark.p', qu(antec(axiom(3)), imp(antec(axiom(3))))) ).
% 252.95/253.43
% 252.95/253.43 fof(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)), axiom,
% 252.95/253.43 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 252.95/253.43 file('theBenchmark.p', qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))) ).
% 252.95/253.43
% 252.95/253.43 fof(f_1_1, negated_conjecture,
% 252.95/253.43 ~( ! [ Vd454 ] : ( vmul(vmul(vd448, vd449), Vd454) = vmul(vd448, vmul(vd449, Vd454)) => vmul(vmul(vd448, vd449), vsucc(Vd454)) = vmul(vd448, vmul(vd449, vsucc(Vd454))) ) ),
% 252.95/253.43 inference(negate,[status(cth)],[qu(ind(296), imp(296))]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_1_2, negated_conjecture,
% 252.95/253.43 ? [ Vd454 ] : ( vmul(vmul(vd448, vd449), Vd454) = vmul(vd448, vmul(vd449, Vd454)) & ~( vmul(vmul(vd448, vd449), vsucc(Vd454)) = vmul(vd448, vmul(vd449, vsucc(Vd454))) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[f_1_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_1_3, negated_conjecture,
% 252.95/253.43 ? [ U_0 ] : ( vmul(vmul(vd448, vd449), U_0) = vmul(vd448, vmul(vd449, U_0)) & ~( vmul(vmul(vd448, vd449), vsucc(U_0)) = vmul(vd448, vmul(vd449, vsucc(U_0))) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_1_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_1_4, negated_conjecture,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), sK1) = vmul(vd448, vmul(vd449, sK1)) & ~( vmul(vmul(vd448, vd449), vsucc(sK1)) = vmul(vd448, vmul(vd449, vsucc(sK1))) ) ),
% 252.95/253.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_1_5, negated_conjecture,
% 252.95/253.43 ( ( ( vmul(vmul(vd448, vd449), sK1) = vmul(vd448, vmul(vd449, sK1)) ) ) & ( ( vmul(vmul(vd448, vd449), vsucc(sK1)) != vmul(vd448, vmul(vd449, vsucc(sK1))) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_1_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_1_6, negated_conjecture,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), sK1) = vmul(vd448, vmul(vd449, sK1)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_1_5]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_1_7, negated_conjecture,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), vsucc(sK1)) != vmul(vd448, vmul(vd449, vsucc(sK1))) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_1_5]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_2_1, plain,
% 252.95/253.43 ! [ Vd451 ] : ( ~( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) ) | vmul(vd448, vplus(vmul(vd449, Vd451), vd449)) = vmul(vd448, vmul(vd449, vsucc(Vd451))) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(conseq(292), 1), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_2_2, plain,
% 252.95/253.43 ! [ U_1 ] : ( ~( vmul(vmul(vd448, vd449), U_1) = vmul(vd448, vmul(vd449, U_1)) ) | vmul(vd448, vplus(vmul(vd449, U_1), vd449)) = vmul(vd448, vmul(vd449, vsucc(U_1))) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_2_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_2_3, plain,
% 252.95/253.43 ( ( ! [U_1] : ( vmul(vmul(vd448, vd449), U_1) != vmul(vd448, vmul(vd449, U_1)) | vmul(vd448, vplus(vmul(vd449, U_1), vd449)) = vmul(vd448, vmul(vd449, vsucc(U_1))) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_2_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_2_4, plain,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), U_1) != vmul(vd448, vmul(vd449, U_1)) | vmul(vd448, vplus(vmul(vd449, U_1), vd449)) = vmul(vd448, vmul(vd449, vsucc(U_1))) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_2_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_3_1, plain,
% 252.95/253.43 ! [ Vd451 ] : ( ~( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) ) | vplus(vmul(vd448, vmul(vd449, Vd451)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, Vd451), vd449)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(conseq(292), 1), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_3_2, plain,
% 252.95/253.43 ! [ U_2 ] : ( ~( vmul(vmul(vd448, vd449), U_2) = vmul(vd448, vmul(vd449, U_2)) ) | vplus(vmul(vd448, vmul(vd449, U_2)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, U_2), vd449)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_3_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_3_3, plain,
% 252.95/253.43 ( ( ! [U_2] : ( vmul(vmul(vd448, vd449), U_2) != vmul(vd448, vmul(vd449, U_2)) | vplus(vmul(vd448, vmul(vd449, U_2)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, U_2), vd449)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_3_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_3_4, plain,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), U_2) != vmul(vd448, vmul(vd449, U_2)) | vplus(vmul(vd448, vmul(vd449, U_2)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, U_2), vd449)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_3_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_4_1, plain,
% 252.95/253.43 ! [ Vd451 ] : ( ~( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) ) | vplus(vmul(vmul(vd448, vd449), Vd451), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, Vd451)), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(conseq(292), 1), 2)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_4_2, plain,
% 252.95/253.43 ! [ U_3 ] : ( ~( vmul(vmul(vd448, vd449), U_3) = vmul(vd448, vmul(vd449, U_3)) ) | vplus(vmul(vmul(vd448, vd449), U_3), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, U_3)), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_4_3, plain,
% 252.95/253.43 ( ( ! [U_3] : ( vmul(vmul(vd448, vd449), U_3) != vmul(vd448, vmul(vd449, U_3)) | vplus(vmul(vmul(vd448, vd449), U_3), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, U_3)), vmul(vd448, vd449)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_4_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_4_4, plain,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), U_3) != vmul(vd448, vmul(vd449, U_3)) | vplus(vmul(vmul(vd448, vd449), U_3), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, U_3)), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_4_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_5_1, plain,
% 252.95/253.43 ! [ Vd451 ] : ( ~( vmul(vmul(vd448, vd449), Vd451) = vmul(vd448, vmul(vd449, Vd451)) ) | vmul(vmul(vd448, vd449), vsucc(Vd451)) = vplus(vmul(vmul(vd448, vd449), Vd451), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(conseq(292), 1), 3)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_5_2, plain,
% 252.95/253.43 ! [ U_4 ] : ( ~( vmul(vmul(vd448, vd449), U_4) = vmul(vd448, vmul(vd449, U_4)) ) | vmul(vmul(vd448, vd449), vsucc(U_4)) = vplus(vmul(vmul(vd448, vd449), U_4), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_5_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_5_3, plain,
% 252.95/253.43 ( ( ! [U_4] : ( vmul(vmul(vd448, vd449), U_4) != vmul(vd448, vmul(vd449, U_4)) | vmul(vmul(vd448, vd449), vsucc(U_4)) = vplus(vmul(vmul(vd448, vd449), U_4), vmul(vd448, vd449)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_5_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_5_4, plain,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), U_4) != vmul(vd448, vmul(vd449, U_4)) | vmul(vmul(vd448, vd449), vsucc(U_4)) = vplus(vmul(vmul(vd448, vd449), U_4), vmul(vd448, vd449)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_5_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_6_1, plain,
% 252.95/253.43 vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[holds(293, 450, 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_6_2, plain,
% 252.95/253.43 ( ( ( vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_6_1]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_6_3, plain,
% 252.95/253.43 ( vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_6_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_7_1, plain,
% 252.95/253.43 vmul(vmul(vd448, vd449), v1) = vmul(vd448, vd449),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[holds(293, 450, 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_7_2, plain,
% 252.95/253.43 ( ( ( vmul(vmul(vd448, vd449), v1) = vmul(vd448, vd449) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_7_1]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_7_3, plain,
% 252.95/253.43 ( vmul(vmul(vd448, vd449), v1) = vmul(vd448, vd449) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_7_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_8_1, plain,
% 252.95/253.43 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(281, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_8_2, plain,
% 252.95/253.43 ! [ U_7,U_6,U_5 ] : vmul(U_7, vplus(U_6, U_5)) = vplus(vmul(U_7, U_6), vmul(U_7, U_5)),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_8_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_8_3, plain,
% 252.95/253.43 ( ( ! [U_5, U_6, U_7] : ( vmul(U_7, vplus(U_6, U_5)) = vplus(vmul(U_7, U_6), vmul(U_7, U_5)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_8_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_8_4, plain,
% 252.95/253.43 ( vmul(U_7, vplus(U_6, U_5)) = vplus(vmul(U_7, U_6), vmul(U_7, U_5)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_8_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_9_1, plain,
% 252.95/253.43 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(270, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_9_2, plain,
% 252.95/253.43 ! [ U_9,U_8 ] : vmul(U_9, U_8) = vmul(U_8, U_9),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_9_3, plain,
% 252.95/253.43 ( ( ! [U_8, U_9] : ( vmul(U_9, U_8) = vmul(U_8, U_9) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_9_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_9_4, plain,
% 252.95/253.43 ( vmul(U_9, U_8) = vmul(U_8, U_9) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_9_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_10_1, plain,
% 252.95/253.43 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(261, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_10_2, plain,
% 252.95/253.43 ! [ U_11,U_10 ] : vmul(vsucc(U_11), U_10) = vplus(vmul(U_11, U_10), U_10),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_10_3, plain,
% 252.95/253.43 ( ( ! [U_10, U_11] : ( vmul(vsucc(U_11), U_10) = vplus(vmul(U_11, U_10), U_10) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_10_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_10_4, plain,
% 252.95/253.43 ( vmul(vsucc(U_11), U_10) = vplus(vmul(U_11, U_10), U_10) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_10_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_11_1, plain,
% 252.95/253.43 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(253, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_11_2, plain,
% 252.95/253.43 ! [ U_12 ] : vmul(v1, U_12) = U_12,
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_11_3, plain,
% 252.95/253.43 ( ( ! [U_12] : ( vmul(v1, U_12) = U_12 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_11_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_11_4, plain,
% 252.95/253.43 ( vmul(v1, U_12) = U_12 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_11_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_12_1, plain,
% 252.95/253.43 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_12_2, plain,
% 252.95/253.43 ! [ U_14,U_13 ] : ( vmul(U_14, vsucc(U_13)) = vplus(vmul(U_14, U_13), U_14) & vmul(U_14, v1) = U_14 ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_12_3, plain,
% 252.95/253.43 ( ! [ U_15 ] : vmul(U_15, v1) = U_15 & ! [ U_16,U_13 ] : vmul(U_16, vsucc(U_13)) = vplus(vmul(U_16, U_13), U_16) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_12_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_12_4, plain,
% 252.95/253.43 ( ( ! [U_15] : ( vmul(U_15, v1) = U_15 ) ) & ( ! [U_16, U_13] : ( vmul(U_16, vsucc(U_13)) = vplus(vmul(U_16, U_13), U_16) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_12_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_12_5, plain,
% 252.95/253.43 ( vmul(U_15, v1) = U_15 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_12_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_12_6, plain,
% 252.95/253.43 ( vmul(U_16, vsucc(U_13)) = vplus(vmul(U_16, U_13), U_16) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_12_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_13_1, plain,
% 252.95/253.43 ! [ Vd386,Vd387 ] : ( ~( less(Vd386, vplus(Vd387, v1)) ) | leq(Vd386, Vd387) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(241, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_13_2, plain,
% 252.95/253.43 ! [ U_18,U_17 ] : ( ~( less(U_18, vplus(U_17, v1)) ) | leq(U_18, U_17) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_13_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_13_3, plain,
% 252.95/253.43 ( ( ! [U_17, U_18] : ( ~less(U_18, vplus(U_17, v1)) | leq(U_18, U_17) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_13_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_13_4, plain,
% 252.95/253.43 ( ~less(U_18, vplus(U_17, v1)) | leq(U_18, U_17) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_13_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_14_1, plain,
% 252.95/253.43 ! [ Vd375,Vd376 ] : ( ~( greater(Vd375, Vd376) ) | geq(Vd375, vplus(Vd376, v1)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(234, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_14_2, plain,
% 252.95/253.43 ! [ U_20,U_19 ] : ( ~( greater(U_20, U_19) ) | geq(U_20, vplus(U_19, v1)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_14_3, plain,
% 252.95/253.43 ( ( ! [U_19, U_20] : ( ~greater(U_20, U_19) | geq(U_20, vplus(U_19, v1)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_14_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_14_4, plain,
% 252.95/253.43 ( ~greater(U_20, U_19) | geq(U_20, vplus(U_19, v1)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_14_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_15_1, plain,
% 252.95/253.43 ! [ Vd369 ] : geq(Vd369, v1),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(228, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_15_2, plain,
% 252.95/253.43 ! [ U_21 ] : geq(U_21, v1),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_15_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_15_3, plain,
% 252.95/253.43 ( ( ! [U_21] : ( geq(U_21, v1) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_15_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_15_4, plain,
% 252.95/253.43 ( geq(U_21, v1) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_15_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_16_1, plain,
% 252.95/253.43 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( ~( geq(Vd365, Vd366) ) | ~( geq(Vd362, Vd363) ) ) | geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(223, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_16_2, plain,
% 252.95/253.43 ! [ U_25,U_24,U_23,U_22 ] : ( ( ~( geq(U_23, U_22) ) | ~( geq(U_25, U_24) ) ) | geq(vplus(U_25, U_23), vplus(U_24, U_22)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_16_3, plain,
% 252.95/253.43 ( ( ! [U_22, U_23, U_24, U_25] : ( ~geq(U_23, U_22) | ~geq(U_25, U_24) | geq(vplus(U_25, U_23), vplus(U_24, U_22)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_16_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_16_4, plain,
% 252.95/253.43 ( ~geq(U_23, U_22) | ~geq(U_25, U_24) | geq(vplus(U_25, U_23), vplus(U_24, U_22)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_16_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_17_1, plain,
% 252.95/253.43 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( ~( greater(Vd355, Vd356) ) | ~( geq(Vd353, Vd354) ) ) & ( ~( geq(Vd355, Vd356) ) | ~( greater(Vd353, Vd354) ) ) ) | greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(216), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_17_2, plain,
% 252.95/253.43 ! [ U_29,U_28,U_27,U_26 ] : ( ( ( ~( greater(U_27, U_26) ) | ~( geq(U_29, U_28) ) ) & ( ~( geq(U_27, U_26) ) | ~( greater(U_29, U_28) ) ) ) | greater(vplus(U_29, U_27), vplus(U_28, U_26)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_17_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_17_3, plain,
% 252.95/253.43 ( ( ! [U_26, U_27, U_28, U_29] : ( sP0(U_26, U_27, U_28, U_29) | greater(vplus(U_29, U_27), vplus(U_28, U_26)) ) ) & ( ! [U_26, U_27, U_28, U_29] : ( ~sP0(U_26, U_27, U_28, U_29) | ~greater(U_27, U_26) | ~geq(U_29, U_28) ) ) & ( ! [U_26, U_27, U_28, U_29] : ( ~sP0(U_26, U_27, U_28, U_29) | ~geq(U_27, U_26) | ~greater(U_29, U_28) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_17_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_17_4, plain,
% 252.95/253.43 ( sP0(U_26, U_27, U_28, U_29) | greater(vplus(U_29, U_27), vplus(U_28, U_26)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_17_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_17_5, plain,
% 252.95/253.43 ( ~sP0(U_26, U_27, U_28, U_29) | ~greater(U_27, U_26) | ~geq(U_29, U_28) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_17_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_17_6, plain,
% 252.95/253.43 ( ~sP0(U_26, U_27, U_28, U_29) | ~geq(U_27, U_26) | ~greater(U_29, U_28) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_17_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_18_1, plain,
% 252.95/253.43 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( ~( greater(Vd340, Vd341) ) | ~( greater(Vd337, Vd338) ) ) | greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(209, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_18_2, plain,
% 252.95/253.43 ! [ U_33,U_32,U_31,U_30 ] : ( ( ~( greater(U_31, U_30) ) | ~( greater(U_33, U_32) ) ) | greater(vplus(U_33, U_31), vplus(U_32, U_30)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_18_3, plain,
% 252.95/253.43 ( ( ! [U_33, U_31, U_32, U_30] : ( ~greater(U_31, U_30) | ~greater(U_33, U_32) | greater(vplus(U_33, U_31), vplus(U_32, U_30)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_18_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_18_4, plain,
% 252.95/253.43 ( ~greater(U_31, U_30) | ~greater(U_33, U_32) | greater(vplus(U_33, U_31), vplus(U_32, U_30)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_18_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_19_1, plain,
% 252.95/253.43 ! [ Vd328,Vd329,Vd330 ] : ( ~( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | less(Vd328, Vd329) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_19_2, plain,
% 252.95/253.43 ! [ U_36,U_35,U_34 ] : ( ~( less(vplus(U_36, U_34), vplus(U_35, U_34)) ) | less(U_36, U_35) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_19_3, plain,
% 252.95/253.43 ! [ U_36,U_35 ] : ( less(U_36, U_35) | ! [ U_34 ] : ~( less(vplus(U_36, U_34), vplus(U_35, U_34)) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_19_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_19_4, plain,
% 252.95/253.43 ( ( ! [U_35, U_36, U_34] : ( less(U_36, U_35) | ~less(vplus(U_36, U_34), vplus(U_35, U_34)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_19_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_19_5, plain,
% 252.95/253.43 ( less(U_36, U_35) | ~less(vplus(U_36, U_34), vplus(U_35, U_34)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_19_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_20_1, plain,
% 252.95/253.43 ! [ Vd328,Vd329,Vd330 ] : ( ~( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) ) | Vd328 = Vd329 ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_20_2, plain,
% 252.95/253.43 ! [ U_39,U_38,U_37 ] : ( ~( vplus(U_39, U_37) = vplus(U_38, U_37) ) | U_39 = U_38 ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_20_3, plain,
% 252.95/253.43 ! [ U_39,U_38 ] : ( U_39 = U_38 | ! [ U_37 ] : ~( vplus(U_39, U_37) = vplus(U_38, U_37) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_20_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_20_4, plain,
% 252.95/253.43 ( ( ! [U_38, U_39, U_37] : ( U_39 = U_38 | vplus(U_39, U_37) != vplus(U_38, U_37) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_20_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_20_5, plain,
% 252.95/253.43 ( U_39 = U_38 | vplus(U_39, U_37) != vplus(U_38, U_37) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_20_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_21_1, plain,
% 252.95/253.43 ! [ Vd328,Vd329,Vd330 ] : ( ~( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | greater(Vd328, Vd329) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 2)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_21_2, plain,
% 252.95/253.43 ! [ U_42,U_41,U_40 ] : ( ~( greater(vplus(U_42, U_40), vplus(U_41, U_40)) ) | greater(U_42, U_41) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_21_3, plain,
% 252.95/253.43 ! [ U_42,U_41 ] : ( greater(U_42, U_41) | ! [ U_40 ] : ~( greater(vplus(U_42, U_40), vplus(U_41, U_40)) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_21_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_21_4, plain,
% 252.95/253.43 ( ( ! [U_40, U_41, U_42] : ( greater(U_42, U_41) | ~greater(vplus(U_42, U_40), vplus(U_41, U_40)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_21_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_21_5, plain,
% 252.95/253.43 ( greater(U_42, U_41) | ~greater(vplus(U_42, U_40), vplus(U_41, U_40)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_21_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_22_1, plain,
% 252.95/253.43 ! [ Vd301,Vd302,Vd303 ] : ( ~( less(Vd301, Vd302) ) | less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_22_2, plain,
% 252.95/253.43 ! [ U_45,U_44,U_43 ] : ( ~( less(U_45, U_44) ) | less(vplus(U_45, U_43), vplus(U_44, U_43)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_22_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_22_3, plain,
% 252.95/253.43 ! [ U_45,U_44 ] : ( ~( less(U_45, U_44) ) | ! [ U_43 ] : less(vplus(U_45, U_43), vplus(U_44, U_43)) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_22_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_22_4, plain,
% 252.95/253.43 ( ( ! [U_43, U_44, U_45] : ( ~less(U_45, U_44) | less(vplus(U_45, U_43), vplus(U_44, U_43)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_22_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_22_5, plain,
% 252.95/253.43 ( ~less(U_45, U_44) | less(vplus(U_45, U_43), vplus(U_44, U_43)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_22_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_23_1, plain,
% 252.95/253.43 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_23_2, plain,
% 252.95/253.43 ! [ U_48,U_47,U_46 ] : ( ~( U_48 = U_47 ) | vplus(U_48, U_46) = vplus(U_47, U_46) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_23_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_23_3, plain,
% 252.95/253.43 ! [ U_48,U_47 ] : ( ~( U_48 = U_47 ) | ! [ U_46 ] : vplus(U_48, U_46) = vplus(U_47, U_46) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_23_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_23_4, plain,
% 252.95/253.43 ( ( ! [U_46, U_47, U_48] : ( U_48 != U_47 | vplus(U_48, U_46) = vplus(U_47, U_46) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_23_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_23_5, plain,
% 252.95/253.43 ( U_48 != U_47 | vplus(U_48, U_46) = vplus(U_47, U_46) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_23_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_24_1, plain,
% 252.95/253.43 ! [ Vd301,Vd302,Vd303 ] : ( ~( greater(Vd301, Vd302) ) | greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 2)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_24_2, plain,
% 252.95/253.43 ! [ U_51,U_50,U_49 ] : ( ~( greater(U_51, U_50) ) | greater(vplus(U_51, U_49), vplus(U_50, U_49)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_24_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_24_3, plain,
% 252.95/253.43 ! [ U_51,U_50 ] : ( ~( greater(U_51, U_50) ) | ! [ U_49 ] : greater(vplus(U_51, U_49), vplus(U_50, U_49)) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_24_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_24_4, plain,
% 252.95/253.43 ( ( ! [U_49, U_50, U_51] : ( ~greater(U_51, U_50) | greater(vplus(U_51, U_49), vplus(U_50, U_49)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_24_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_24_5, plain,
% 252.95/253.43 ( ~greater(U_51, U_50) | greater(vplus(U_51, U_49), vplus(U_50, U_49)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_24_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_25_1, plain,
% 252.95/253.43 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(189, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_25_2, plain,
% 252.95/253.43 ! [ U_53,U_52 ] : greater(vplus(U_53, U_52), U_53),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_25_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_25_3, plain,
% 252.95/253.43 ( ( ! [U_52, U_53] : ( greater(vplus(U_53, U_52), U_53) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_25_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_25_4, plain,
% 252.95/253.43 ( greater(vplus(U_53, U_52), U_53) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_25_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_26_1, plain,
% 252.95/253.43 ! [ Vd289,Vd290,Vd292 ] : ( ( ~( leq(Vd290, Vd292) ) | ~( leq(Vd289, Vd290) ) ) | leq(Vd289, Vd292) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(184, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_26_2, plain,
% 252.95/253.43 ! [ U_56,U_55,U_54 ] : ( ( ~( leq(U_55, U_54) ) | ~( leq(U_56, U_55) ) ) | leq(U_56, U_54) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_26_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_26_3, plain,
% 252.95/253.43 ( ( ! [U_54, U_55, U_56] : ( ~leq(U_55, U_54) | ~leq(U_56, U_55) | leq(U_56, U_54) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_26_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_26_4, plain,
% 252.95/253.43 ( ~leq(U_55, U_54) | ~leq(U_56, U_55) | leq(U_56, U_54) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_26_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_27_1, plain,
% 252.95/253.43 ! [ Vd281,Vd282,Vd283 ] : ( ( ( ~( less(Vd282, Vd283) ) | ~( leq(Vd281, Vd282) ) ) & ( ~( leq(Vd282, Vd283) ) | ~( less(Vd281, Vd282) ) ) ) | less(Vd281, Vd283) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(177), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_27_2, plain,
% 252.95/253.43 ! [ U_59,U_58,U_57 ] : ( ( ( ~( less(U_58, U_57) ) | ~( leq(U_59, U_58) ) ) & ( ~( leq(U_58, U_57) ) | ~( less(U_59, U_58) ) ) ) | less(U_59, U_57) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_27_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_27_3, plain,
% 252.95/253.43 ( ( ! [U_58, U_59, U_57] : ( sP1(U_58, U_59, U_57) | less(U_59, U_57) ) ) & ( ! [U_58, U_59, U_57] : ( ~sP1(U_58, U_59, U_57) | ~less(U_58, U_57) | ~leq(U_59, U_58) ) ) & ( ! [U_58, U_59, U_57] : ( ~sP1(U_58, U_59, U_57) | ~leq(U_58, U_57) | ~less(U_59, U_58) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_27_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_27_4, plain,
% 252.95/253.43 ( sP1(U_58, U_59, U_57) | less(U_59, U_57) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_27_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_27_5, plain,
% 252.95/253.43 ( ~sP1(U_58, U_59, U_57) | ~less(U_58, U_57) | ~leq(U_59, U_58) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_27_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_27_6, plain,
% 252.95/253.43 ( ~sP1(U_58, U_59, U_57) | ~leq(U_58, U_57) | ~less(U_59, U_58) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_27_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_28_1, plain,
% 252.95/253.43 ! [ Vd262,Vd263,Vd265 ] : ( ( ~( less(Vd263, Vd265) ) | ~( less(Vd262, Vd263) ) ) | less(Vd262, Vd265) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(168, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_28_2, plain,
% 252.95/253.43 ! [ U_62,U_61,U_60 ] : ( ( ~( less(U_61, U_60) ) | ~( less(U_62, U_61) ) ) | less(U_62, U_60) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_28_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_28_3, plain,
% 252.95/253.43 ( ( ! [U_62, U_60, U_61] : ( ~less(U_61, U_60) | ~less(U_62, U_61) | less(U_62, U_60) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_28_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_28_4, plain,
% 252.95/253.43 ( ~less(U_61, U_60) | ~less(U_62, U_61) | less(U_62, U_60) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_28_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_29_1, plain,
% 252.95/253.43 ! [ Vd258,Vd259 ] : ( ~( leq(Vd258, Vd259) ) | geq(Vd259, Vd258) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(163, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_29_2, plain,
% 252.95/253.43 ! [ U_64,U_63 ] : ( ~( leq(U_64, U_63) ) | geq(U_63, U_64) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_29_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_29_3, plain,
% 252.95/253.43 ( ( ! [U_64, U_63] : ( ~leq(U_64, U_63) | geq(U_63, U_64) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_29_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_29_4, plain,
% 252.95/253.43 ( ~leq(U_64, U_63) | geq(U_63, U_64) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_29_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_30_1, plain,
% 252.95/253.43 ! [ Vd254,Vd255 ] : ( ~( geq(Vd254, Vd255) ) | leq(Vd255, Vd254) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(158, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_30_2, plain,
% 252.95/253.43 ! [ U_66,U_65 ] : ( ~( geq(U_66, U_65) ) | leq(U_65, U_66) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_30_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_30_3, plain,
% 252.95/253.43 ( ( ! [U_66, U_65] : ( ~geq(U_66, U_65) | leq(U_65, U_66) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_30_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_30_4, plain,
% 252.95/253.43 ( ~geq(U_66, U_65) | leq(U_65, U_66) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_30_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_31_1, plain,
% 252.95/253.43 ! [ Vd249,Vd250 ] : ( ( ~( leq(Vd250, Vd249) ) | ( less(Vd250, Vd249) | Vd250 = Vd249 ) ) & ( ( ~( less(Vd250, Vd249) ) & ~( Vd250 = Vd249 ) ) | leq(Vd250, Vd249) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 17), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_31_2, plain,
% 252.95/253.43 ! [ U_68,U_67 ] : ( ( ~( leq(U_67, U_68) ) | ( less(U_67, U_68) | U_67 = U_68 ) ) & ( ( ~( less(U_67, U_68) ) & ~( U_67 = U_68 ) ) | leq(U_67, U_68) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_31_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_31_3, plain,
% 252.95/253.43 ( ! [ U_71,U_69 ] : ( ~( leq(U_69, U_71) ) | ( less(U_69, U_71) | U_69 = U_71 ) ) & ! [ U_72,U_70 ] : ( ( ~( less(U_70, U_72) ) & ~( U_70 = U_72 ) ) | leq(U_70, U_72) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_31_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_31_4, plain,
% 252.95/253.43 ( ( ! [U_71, U_69] : ( ~leq(U_69, U_71) | less(U_69, U_71) | U_69 = U_71 ) ) & ( ! [U_72, U_70] : ( sP2(U_72, U_70) | leq(U_70, U_72) ) ) & ( ! [U_72, U_70] : ( ~sP2(U_72, U_70) | ~less(U_70, U_72) ) ) & ( ! [U_72, U_70] : ( ~sP2(U_72, U_70) | U_70 != U_72 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_31_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_31_5, plain,
% 252.95/253.43 ( ~leq(U_69, U_71) | less(U_69, U_71) | U_69 = U_71 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_31_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_31_6, plain,
% 252.95/253.43 ( sP2(U_72, U_70) | leq(U_70, U_72) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_31_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_31_7, plain,
% 252.95/253.43 ( ~sP2(U_72, U_70) | ~less(U_70, U_72) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_31_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_31_8, plain,
% 252.95/253.43 ( ~sP2(U_72, U_70) | U_70 != U_72 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_31_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_32_1, plain,
% 252.95/253.43 ! [ Vd244,Vd245 ] : ( ( ~( geq(Vd245, Vd244) ) | ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ) & ( ( ~( greater(Vd245, Vd244) ) & ~( Vd245 = Vd244 ) ) | geq(Vd245, Vd244) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 16), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_32_2, plain,
% 252.95/253.43 ! [ U_74,U_73 ] : ( ( ~( geq(U_73, U_74) ) | ( greater(U_73, U_74) | U_73 = U_74 ) ) & ( ( ~( greater(U_73, U_74) ) & ~( U_73 = U_74 ) ) | geq(U_73, U_74) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_32_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_32_3, plain,
% 252.95/253.43 ( ! [ U_77,U_75 ] : ( ~( geq(U_75, U_77) ) | ( greater(U_75, U_77) | U_75 = U_77 ) ) & ! [ U_78,U_76 ] : ( ( ~( greater(U_76, U_78) ) & ~( U_76 = U_78 ) ) | geq(U_76, U_78) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_32_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_32_4, plain,
% 252.95/253.43 ( ( ! [U_77, U_75] : ( ~geq(U_75, U_77) | greater(U_75, U_77) | U_75 = U_77 ) ) & ( ! [U_76, U_78] : ( sP3(U_76, U_78) | geq(U_76, U_78) ) ) & ( ! [U_76, U_78] : ( ~sP3(U_76, U_78) | ~greater(U_76, U_78) ) ) & ( ! [U_76, U_78] : ( ~sP3(U_76, U_78) | U_76 != U_78 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_32_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_32_5, plain,
% 252.95/253.43 ( ~geq(U_75, U_77) | greater(U_75, U_77) | U_75 = U_77 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_32_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_32_6, plain,
% 252.95/253.43 ( sP3(U_76, U_78) | geq(U_76, U_78) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_32_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_32_7, plain,
% 252.95/253.43 ( ~sP3(U_76, U_78) | ~greater(U_76, U_78) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_32_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_32_8, plain,
% 252.95/253.43 ( ~sP3(U_76, U_78) | U_76 != U_78 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_32_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_33_1, plain,
% 252.95/253.43 ! [ Vd226,Vd227 ] : ( ~( less(Vd226, Vd227) ) | greater(Vd227, Vd226) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(147, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_33_2, plain,
% 252.95/253.43 ! [ U_80,U_79 ] : ( ~( less(U_80, U_79) ) | greater(U_79, U_80) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_33_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_33_3, plain,
% 252.95/253.43 ( ( ! [U_79, U_80] : ( ~less(U_80, U_79) | greater(U_79, U_80) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_33_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_33_4, plain,
% 252.95/253.43 ( ~less(U_80, U_79) | greater(U_79, U_80) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_33_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_34_1, plain,
% 252.95/253.43 ! [ Vd208,Vd209 ] : ( ~( greater(Vd208, Vd209) ) | less(Vd209, Vd208) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(140, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_34_2, plain,
% 252.95/253.43 ! [ U_82,U_81 ] : ( ~( greater(U_82, U_81) ) | less(U_81, U_82) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_34_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_34_3, plain,
% 252.95/253.43 ( ( ! [U_81, U_82] : ( ~greater(U_82, U_81) | less(U_81, U_82) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_34_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_34_4, plain,
% 252.95/253.43 ( ~greater(U_82, U_81) | less(U_81, U_82) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_34_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_35_1, plain,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_35_2, plain,
% 252.95/253.43 ! [ U_84,U_83 ] : ( U_84 = U_83 | greater(U_84, U_83) | less(U_84, U_83) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_35_3, plain,
% 252.95/253.43 ( ( ! [U_83, U_84] : ( U_84 = U_83 | greater(U_84, U_83) | less(U_84, U_83) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_35_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_35_4, plain,
% 252.95/253.43 ( U_84 = U_83 | greater(U_84, U_83) | less(U_84, U_83) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_35_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_36_1, plain,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_36_2, plain,
% 252.95/253.43 ! [ U_86,U_85 ] : ( ~( U_86 = U_85 ) | ~( less(U_86, U_85) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_36_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_36_3, plain,
% 252.95/253.43 ( ( ! [U_86, U_85] : ( U_86 != U_85 | ~less(U_86, U_85) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_36_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_36_4, plain,
% 252.95/253.43 ( U_86 != U_85 | ~less(U_86, U_85) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_36_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_37_1, plain,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_37_2, plain,
% 252.95/253.43 ! [ U_88,U_87 ] : ( ~( greater(U_88, U_87) ) | ~( less(U_88, U_87) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_37_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_37_3, plain,
% 252.95/253.43 ( ( ! [U_87, U_88] : ( ~greater(U_88, U_87) | ~less(U_88, U_87) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_37_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_37_4, plain,
% 252.95/253.43 ( ~greater(U_88, U_87) | ~less(U_88, U_87) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_37_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_38_1, plain,
% 252.95/253.43 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_38_2, plain,
% 252.95/253.43 ! [ U_90,U_89 ] : ( ~( U_90 = U_89 ) | ~( greater(U_90, U_89) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_38_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_38_3, plain,
% 252.95/253.43 ( ( ! [U_90, U_89] : ( U_90 != U_89 | ~greater(U_90, U_89) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_38_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_38_4, plain,
% 252.95/253.43 ( U_90 != U_89 | ~greater(U_90, U_89) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_38_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_39_1, plain,
% 252.95/253.43 ! [ Vd198,Vd199 ] : ( ( ~( less(Vd199, Vd198) ) | ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ) & ( ! [ Vd201 ] : ~( Vd198 = vplus(Vd199, Vd201) ) | less(Vd199, Vd198) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 12), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_39_2, plain,
% 252.95/253.43 ! [ U_94,U_93 ] : ( ( ~( less(U_93, U_94) ) | ? [ U_91 ] : U_94 = vplus(U_93, U_91) ) & ( ! [ U_92 ] : ~( U_94 = vplus(U_93, U_92) ) | less(U_93, U_94) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_39_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_39_3, plain,
% 252.95/253.43 ( ! [ U_97,U_95 ] : ( ~( less(U_95, U_97) ) | ? [ U_91 ] : U_97 = vplus(U_95, U_91) ) & ! [ U_98,U_96 ] : ( ! [ U_92 ] : ~( U_98 = vplus(U_96, U_92) ) | less(U_96, U_98) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_39_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_39_4, plain,
% 252.95/253.43 ( ! [ U_97,U_95 ] : ( ~( less(U_95, U_97) ) | U_97 = vplus(U_95, sK2(U_97, U_95)) ) & ! [ U_98,U_96 ] : ( ! [ U_92 ] : ~( U_98 = vplus(U_96, U_92) ) | less(U_96, U_98) ) ),
% 252.95/253.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_91,sK2(U_97, U_95))],[f_39_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_39_5, plain,
% 252.95/253.43 ( ( ! [U_97, U_95] : ( ~less(U_95, U_97) | U_97 = vplus(U_95, sK2(U_97, U_95)) ) ) & ( ! [U_98, U_92, U_96] : ( U_98 != vplus(U_96, U_92) | less(U_96, U_98) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_39_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_39_6, plain,
% 252.95/253.43 ( ~less(U_95, U_97) | U_97 = vplus(U_95, sK2(U_97, U_95)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_39_5]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_39_7, plain,
% 252.95/253.43 ( U_98 != vplus(U_96, U_92) | less(U_96, U_98) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_39_5]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_40_1, plain,
% 252.95/253.43 ! [ Vd193,Vd194 ] : ( ( ~( greater(Vd194, Vd193) ) | ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ) & ( ! [ Vd196 ] : ~( Vd194 = vplus(Vd193, Vd196) ) | greater(Vd194, Vd193) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 11), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_40_2, plain,
% 252.95/253.43 ! [ U_102,U_101 ] : ( ( ~( greater(U_101, U_102) ) | ? [ U_99 ] : U_101 = vplus(U_102, U_99) ) & ( ! [ U_100 ] : ~( U_101 = vplus(U_102, U_100) ) | greater(U_101, U_102) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_40_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_40_3, plain,
% 252.95/253.43 ( ! [ U_105,U_103 ] : ( ~( greater(U_103, U_105) ) | ? [ U_99 ] : U_103 = vplus(U_105, U_99) ) & ! [ U_106,U_104 ] : ( ! [ U_100 ] : ~( U_104 = vplus(U_106, U_100) ) | greater(U_104, U_106) ) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_40_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_40_4, plain,
% 252.95/253.43 ( ! [ U_105,U_103 ] : ( ~( greater(U_103, U_105) ) | U_103 = vplus(U_105, sK3(U_105, U_103)) ) & ! [ U_106,U_104 ] : ( ! [ U_100 ] : ~( U_104 = vplus(U_106, U_100) ) | greater(U_104, U_106) ) ),
% 252.95/253.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_99,sK3(U_105, U_103))],[f_40_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_40_5, plain,
% 252.95/253.43 ( ( ! [U_103, U_105] : ( ~greater(U_103, U_105) | U_103 = vplus(U_105, sK3(U_105, U_103)) ) ) & ( ! [U_100, U_106, U_104] : ( U_104 != vplus(U_106, U_100) | greater(U_104, U_106) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_40_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_40_6, plain,
% 252.95/253.43 ( ~greater(U_103, U_105) | U_103 = vplus(U_105, sK3(U_105, U_103)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_40_5]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_40_7, plain,
% 252.95/253.43 ( U_104 != vplus(U_106, U_100) | greater(U_104, U_106) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_40_5]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_41_1, plain,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_41_2, plain,
% 252.95/253.43 ! [ U_110,U_109 ] : ( U_110 = U_109 | ? [ U_107 ] : U_110 = vplus(U_109, U_107) | ? [ U_108 ] : U_109 = vplus(U_110, U_108) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_41_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_41_3, plain,
% 252.95/253.43 ! [ U_110,U_109 ] : ( U_110 = U_109 | U_110 = vplus(U_109, sK4(U_110, U_109)) | ? [ U_108 ] : U_109 = vplus(U_110, U_108) ),
% 252.95/253.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_107,sK4(U_110, U_109))],[f_41_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_41_4, plain,
% 252.95/253.43 ! [ U_110,U_109 ] : ( U_110 = U_109 | U_110 = vplus(U_109, sK4(U_110, U_109)) | U_109 = vplus(U_110, sK5(U_110, U_109)) ),
% 252.95/253.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_108,sK5(U_110, U_109))],[f_41_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_41_5, plain,
% 252.95/253.43 ( ( ! [U_109, U_110] : ( U_110 = U_109 | U_110 = vplus(U_109, sK4(U_110, U_109)) | U_109 = vplus(U_110, sK5(U_110, U_109)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_41_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_41_6, plain,
% 252.95/253.43 ( U_110 = U_109 | U_110 = vplus(U_109, sK4(U_110, U_109)) | U_109 = vplus(U_110, sK5(U_110, U_109)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_41_5]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_42_1, plain,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 1)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_42_2, plain,
% 252.95/253.43 ! [ U_113,U_112 ] : ( ~( U_113 = U_112 ) | ! [ U_111 ] : ~( U_112 = vplus(U_113, U_111) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_42_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_42_3, plain,
% 252.95/253.43 ( ( ! [U_111, U_112, U_113] : ( U_113 != U_112 | U_112 != vplus(U_113, U_111) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_42_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_42_4, plain,
% 252.95/253.43 ( U_113 != U_112 | U_112 != vplus(U_113, U_111) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_42_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_43_1, plain,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 2)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_43_2, plain,
% 252.95/253.43 ! [ U_117,U_116 ] : ( ! [ U_114 ] : ~( U_117 = vplus(U_116, U_114) ) | ! [ U_115 ] : ~( U_116 = vplus(U_117, U_115) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_43_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_43_3, plain,
% 252.95/253.43 ( ( ! [U_115, U_114, U_116, U_117] : ( U_117 != vplus(U_116, U_114) | U_116 != vplus(U_117, U_115) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_43_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_43_4, plain,
% 252.95/253.43 ( U_117 != vplus(U_116, U_114) | U_116 != vplus(U_117, U_115) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_43_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_44_1, plain,
% 252.95/253.43 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 3)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_44_2, plain,
% 252.95/253.43 ! [ U_120,U_119 ] : ( ~( U_120 = U_119 ) | ! [ U_118 ] : ~( U_120 = vplus(U_119, U_118) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_44_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_44_3, plain,
% 252.95/253.43 ( ( ! [U_120, U_119, U_118] : ( U_120 != U_119 | U_120 != vplus(U_119, U_118) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_44_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_44_4, plain,
% 252.95/253.43 ( U_120 != U_119 | U_120 != vplus(U_119, U_118) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_44_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_45_1, plain,
% 252.95/253.43 ! [ Vd104,Vd105 ] : ( Vd104 = Vd105 | ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(81, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_45_2, plain,
% 252.95/253.43 ! [ U_123,U_122 ] : ( U_123 = U_122 | ! [ U_121 ] : ~( vplus(U_121, U_123) = vplus(U_121, U_122) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_45_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_45_3, plain,
% 252.95/253.43 ( ( ! [U_121, U_122, U_123] : ( U_123 = U_122 | vplus(U_121, U_123) != vplus(U_121, U_122) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_45_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_45_4, plain,
% 252.95/253.43 ( U_123 = U_122 | vplus(U_121, U_123) != vplus(U_121, U_122) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_45_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_46_1, plain,
% 252.95/253.43 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(73, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_46_2, plain,
% 252.95/253.43 ! [ U_125,U_124 ] : ~( U_124 = vplus(U_125, U_124) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_46_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_46_3, plain,
% 252.95/253.43 ( ( ! [U_124, U_125] : ( U_124 != vplus(U_125, U_124) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_46_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_46_4, plain,
% 252.95/253.43 ( U_124 != vplus(U_125, U_124) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_46_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_47_1, plain,
% 252.95/253.43 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(61, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_47_2, plain,
% 252.95/253.43 ! [ U_127,U_126 ] : vplus(U_126, U_127) = vplus(U_127, U_126),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_47_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_47_3, plain,
% 252.95/253.43 ( ( ! [U_126, U_127] : ( vplus(U_126, U_127) = vplus(U_127, U_126) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_47_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_47_4, plain,
% 252.95/253.43 ( vplus(U_126, U_127) = vplus(U_127, U_126) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_47_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_48_1, plain,
% 252.95/253.43 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(52, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_48_2, plain,
% 252.95/253.43 ! [ U_129,U_128 ] : vplus(vsucc(U_129), U_128) = vsucc(vplus(U_129, U_128)),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_48_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_48_3, plain,
% 252.95/253.43 ( ( ! [U_128, U_129] : ( vplus(vsucc(U_129), U_128) = vsucc(vplus(U_129, U_128)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_48_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_48_4, plain,
% 252.95/253.43 ( vplus(vsucc(U_129), U_128) = vsucc(vplus(U_129, U_128)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_48_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_49_1, plain,
% 252.95/253.43 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(43, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_49_2, plain,
% 252.95/253.43 ! [ U_130 ] : vplus(v1, U_130) = vsucc(U_130),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_49_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_49_3, plain,
% 252.95/253.43 ( ( ! [U_130] : ( vplus(v1, U_130) = vsucc(U_130) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_49_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_49_4, plain,
% 252.95/253.43 ( vplus(v1, U_130) = vsucc(U_130) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_49_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_50_1, plain,
% 252.95/253.43 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(33, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_50_2, plain,
% 252.95/253.43 ! [ U_133,U_132,U_131 ] : vplus(vplus(U_133, U_132), U_131) = vplus(U_133, vplus(U_132, U_131)),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_50_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_50_3, plain,
% 252.95/253.43 ( ( ! [U_131, U_132, U_133] : ( vplus(vplus(U_133, U_132), U_131) = vplus(U_133, vplus(U_132, U_131)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_50_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_50_4, plain,
% 252.95/253.43 ( vplus(vplus(U_133, U_132), U_131) = vplus(U_133, vplus(U_132, U_131)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_50_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_51_1, plain,
% 252.95/253.43 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_51_2, plain,
% 252.95/253.43 ! [ U_135,U_134 ] : ( vplus(U_135, vsucc(U_134)) = vsucc(vplus(U_135, U_134)) & vplus(U_135, v1) = vsucc(U_135) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_51_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_51_3, plain,
% 252.95/253.43 ( ! [ U_136 ] : vplus(U_136, v1) = vsucc(U_136) & ! [ U_137,U_134 ] : vplus(U_137, vsucc(U_134)) = vsucc(vplus(U_137, U_134)) ),
% 252.95/253.43 inference(miniscope,[status(thm)],[f_51_2]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_51_4, plain,
% 252.95/253.43 ( ( ! [U_136] : ( vplus(U_136, v1) = vsucc(U_136) ) ) & ( ! [U_134, U_137] : ( vplus(U_137, vsucc(U_134)) = vsucc(vplus(U_137, U_134)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_51_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_51_5, plain,
% 252.95/253.43 ( vplus(U_136, v1) = vsucc(U_136) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_51_4]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_51_6, plain,
% 252.95/253.43 ( vplus(U_137, vsucc(U_134)) = vsucc(vplus(U_137, U_134)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_51_4]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_52_1, plain,
% 252.95/253.43 ! [ Vd24 ] : ( Vd24 = v1 | Vd24 = vsucc(vskolem2(Vd24)) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(20, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_52_2, plain,
% 252.95/253.43 ! [ U_138 ] : ( U_138 = v1 | U_138 = vsucc(vskolem2(U_138)) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_52_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_52_3, plain,
% 252.95/253.43 ( ( ! [U_138] : ( U_138 = v1 | U_138 = vsucc(vskolem2(U_138)) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_52_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_52_4, plain,
% 252.95/253.43 ( U_138 = v1 | U_138 = vsucc(vskolem2(U_138)) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_52_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_53_1, plain,
% 252.95/253.43 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(12, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_53_2, plain,
% 252.95/253.43 ! [ U_139 ] : ~( vsucc(U_139) = U_139 ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_53_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_53_3, plain,
% 252.95/253.43 ( ( ! [U_139] : ( vsucc(U_139) != U_139 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_53_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_53_4, plain,
% 252.95/253.43 ( vsucc(U_139) != U_139 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_53_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_54_1, plain,
% 252.95/253.43 ! [ Vd7,Vd8 ] : ( Vd7 = Vd8 | ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[ass(cond(6, 0), 0)]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_54_2, plain,
% 252.95/253.43 ! [ U_141,U_140 ] : ( U_141 = U_140 | ~( vsucc(U_141) = vsucc(U_140) ) ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_54_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_54_3, plain,
% 252.95/253.43 ( ( ! [U_140, U_141] : ( U_141 = U_140 | vsucc(U_141) != vsucc(U_140) ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_54_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_54_4, plain,
% 252.95/253.43 ( U_141 = U_140 | vsucc(U_141) != vsucc(U_140) ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_54_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_55_1, plain,
% 252.95/253.43 ! [ Vd3,Vd4 ] : ( ~( vsucc(Vd3) = vsucc(Vd4) ) | Vd3 = Vd4 ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[qu(antec(axiom(3)), imp(antec(axiom(3))))]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_55_2, plain,
% 252.95/253.43 ! [ U_143,U_142 ] : ( ~( vsucc(U_143) = vsucc(U_142) ) | U_143 = U_142 ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_55_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_55_3, plain,
% 252.95/253.43 ( ( ! [U_142, U_143] : ( vsucc(U_143) != vsucc(U_142) | U_143 = U_142 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_55_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_55_4, plain,
% 252.95/253.43 ( vsucc(U_143) != vsucc(U_142) | U_143 = U_142 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_55_3]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_56_1, plain,
% 252.95/253.43 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 252.95/253.43 inference(fof_nnf,[status(thm)],[qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_56_2, plain,
% 252.95/253.43 ! [ U_144 ] : ~( vsucc(U_144) = v1 ),
% 252.95/253.43 inference(variable_rename,[status(thm)],[f_56_1]) ).
% 252.95/253.43
% 252.95/253.43 fof(f_56_3, plain,
% 252.95/253.43 ( ( ! [U_144] : ( vsucc(U_144) != v1 ) ) ),
% 252.95/253.43 inference(definitional_conversion,[status(esa)],[f_56_2]) ).
% 252.95/253.43
% 252.95/253.43 cnf(f_56_4, plain,
% 252.95/253.43 ( vsucc(U_144) != v1 ),
% 252.95/253.43 inference(clausify,[status(thm)],[f_56_3]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_1, axiom,
% 252.95/253.43 ( Eq_x_0 = Eq_x_0 ),
% 252.95/253.43 theory(equality,[reflexivity]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_2, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_x_1 | Eq_x_1 = Eq_x_0 ),
% 252.95/253.43 theory(equality,[symmetry]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_3, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_x_1 | Eq_x_1 != Eq_x_2 | Eq_x_0 = Eq_x_2 ),
% 252.95/253.43 theory(equality,[transitivity]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_4, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | vmul(Eq_x_0, Eq_x_1) = vmul(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_5, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | vsucc(Eq_x_0) = vsucc(Eq_y_0) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_6, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | vplus(Eq_x_0, Eq_x_1) = vplus(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_7, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | vskolem2(Eq_x_0) = vskolem2(Eq_y_0) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_8, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK2(Eq_x_0, Eq_x_1) = sK2(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_9, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK3(Eq_x_0, Eq_x_1) = sK3(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_10, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK4(Eq_x_0, Eq_x_1) = sK4(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_11, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK5(Eq_x_0, Eq_x_1) = sK5(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_functions]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_12, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~less(Eq_x_0, Eq_x_1) | less(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_13, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~leq(Eq_x_0, Eq_x_1) | leq(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_14, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~greater(Eq_x_0, Eq_x_1) | greater(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_15, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~geq(Eq_x_0, Eq_x_1) | geq(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_16, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP0(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP0(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_17, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP1(Eq_x_0, Eq_x_1, Eq_x_2) | sP1(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_18, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP2(Eq_x_0, Eq_x_1) | sP2(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(equality_19, axiom,
% 252.95/253.43 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP3(Eq_x_0, Eq_x_1) | sP3(Eq_y_0, Eq_y_1) ),
% 252.95/253.43 theory(equality,[substitution_predicates]) ).
% 252.95/253.43
% 252.95/253.43 cnf(sat_proved, plain, $false,
% 252.95/253.43 inference(cadical, [status(thm)], [
% 253.39/257.07 ]) ).
% 253.39/257.07 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------