%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM855+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 08:53:27 AM UTC 2026
% Result : Theorem 273.05s 273.38s
% Output : Proof 274.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM855+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 19:24:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 273.05/273.38 % SZS status Theorem for theBenchmark
% 273.05/273.38 % SZS output start Proof for theBenchmark
% 274.35/274.64 fof(holds(conseq_conjunct2(315), 516, 0), conjecture,
% 274.35/274.64 greater(vmul(vd508, vd511), vmul(vd509, vd512)),
% 274.35/274.64 file('theBenchmark.p', holds(conseq_conjunct2(315), 516, 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct2(315), 515, 2), axiom,
% 274.35/274.64 vmul(vd512, vd509) = vmul(vd509, vd512),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct2(315), 515, 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct2(315), 515, 1), axiom,
% 274.35/274.64 greater(vmul(vd511, vd509), vmul(vd512, vd509)),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct2(315), 515, 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct2(315), 515, 0), axiom,
% 274.35/274.64 vmul(vd509, vd511) = vmul(vd511, vd509),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct2(315), 515, 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct1(315), 514, 0), axiom,
% 274.35/274.64 greater(vmul(vd508, vd511), vmul(vd509, vd511)),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct1(315), 514, 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct2(314), 513, 0), axiom,
% 274.35/274.64 greater(vd511, vd512),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct2(314), 513, 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(holds(conjunct1(314), 510, 0), axiom,
% 274.35/274.64 greater(vd508, vd509),
% 274.35/274.64 file('theBenchmark.p', holds(conjunct1(314), 510, 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(conjunct2(conjunct2(307)), 0), 0), axiom,
% 274.35/274.64 ! [ Vd496,Vd497,Vd498 ] : ( less(vmul(Vd496, Vd497), vmul(Vd498, Vd497)) => less(Vd496, Vd498) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(conjunct2(conjunct2(307)), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(conjunct1(conjunct2(307)), 0), 0), axiom,
% 274.35/274.64 ! [ Vd491,Vd492,Vd493 ] : ( vmul(Vd491, Vd492) = vmul(Vd493, Vd492) => Vd491 = Vd493 ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(conjunct1(conjunct2(307)), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(conjunct1(307), 0), 0), axiom,
% 274.35/274.64 ! [ Vd486,Vd487,Vd488 ] : ( greater(vmul(Vd486, Vd487), vmul(Vd488, Vd487)) => greater(Vd486, Vd488) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(conjunct1(307), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(299, 0), 0), axiom,
% 274.35/274.64 ! [ Vd456,Vd465,Vd466 ] : ( less(Vd465, Vd466) => less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(299, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(299, 0), 1), axiom,
% 274.35/274.64 ! [ Vd456,Vd461,Vd462 ] : ( Vd461 = Vd462 => vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(299, 0), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(299, 0), 2), axiom,
% 274.35/274.64 ! [ Vd456,Vd457,Vd458 ] : ( greater(Vd457, Vd458) => greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(299, 0), 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(290, 0), 0), axiom,
% 274.35/274.64 ! [ Vd444,Vd445,Vd446 ] : vmul(vmul(Vd444, Vd445), Vd446) = vmul(Vd444, vmul(Vd445, Vd446)),
% 274.35/274.64 file('theBenchmark.p', ass(cond(290, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(281, 0), 0), axiom,
% 274.35/274.64 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 274.35/274.64 file('theBenchmark.p', ass(cond(281, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(270, 0), 0), axiom,
% 274.35/274.64 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 274.35/274.64 file('theBenchmark.p', ass(cond(270, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(261, 0), 0), axiom,
% 274.35/274.64 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 274.35/274.64 file('theBenchmark.p', ass(cond(261, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(253, 0), 0), axiom,
% 274.35/274.64 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 274.35/274.64 file('theBenchmark.p', ass(cond(253, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), axiom,
% 274.35/274.64 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 274.35/274.64 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(241, 0), 0), axiom,
% 274.35/274.64 ! [ Vd386,Vd387 ] : ( less(Vd386, vplus(Vd387, v1)) => leq(Vd386, Vd387) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(241, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(234, 0), 0), axiom,
% 274.35/274.64 ! [ Vd375,Vd376 ] : ( greater(Vd375, Vd376) => geq(Vd375, vplus(Vd376, v1)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(234, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(228, 0), 0), axiom,
% 274.35/274.64 ! [ Vd369 ] : geq(Vd369, v1),
% 274.35/274.64 file('theBenchmark.p', ass(cond(228, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(223, 0), 0), axiom,
% 274.35/274.64 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( geq(Vd365, Vd366) & geq(Vd362, Vd363) ) => geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(223, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(216), 0), 0), axiom,
% 274.35/274.64 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( greater(Vd355, Vd356) & geq(Vd353, Vd354) ) | ( geq(Vd355, Vd356) & greater(Vd353, Vd354) ) ) => greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(216), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(209, 0), 0), axiom,
% 274.35/274.64 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( greater(Vd340, Vd341) & greater(Vd337, Vd338) ) => greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(209, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(202), 0), 0), axiom,
% 274.35/274.64 ! [ Vd328,Vd329,Vd330 ] : ( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => less(Vd328, Vd329) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(202), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(202), 0), 1), axiom,
% 274.35/274.64 ! [ Vd328,Vd329,Vd330 ] : ( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) => Vd328 = Vd329 ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(202), 0), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(202), 0), 2), axiom,
% 274.35/274.64 ! [ Vd328,Vd329,Vd330 ] : ( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => greater(Vd328, Vd329) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(202), 0), 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(193), 0), 0), axiom,
% 274.35/274.64 ! [ Vd301,Vd302,Vd303 ] : ( less(Vd301, Vd302) => less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(193), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(193), 0), 1), axiom,
% 274.35/274.64 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(193), 0), 2), axiom,
% 274.35/274.64 ! [ Vd301,Vd302,Vd303 ] : ( greater(Vd301, Vd302) => greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(193), 0), 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(189, 0), 0), axiom,
% 274.35/274.64 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 274.35/274.64 file('theBenchmark.p', ass(cond(189, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(184, 0), 0), axiom,
% 274.35/274.64 ! [ Vd289,Vd290,Vd292 ] : ( ( leq(Vd290, Vd292) & leq(Vd289, Vd290) ) => leq(Vd289, Vd292) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(184, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(177), 0), 0), axiom,
% 274.35/274.64 ! [ Vd281,Vd282,Vd283 ] : ( ( ( less(Vd282, Vd283) & leq(Vd281, Vd282) ) | ( leq(Vd282, Vd283) & less(Vd281, Vd282) ) ) => less(Vd281, Vd283) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(177), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(168, 0), 0), axiom,
% 274.35/274.64 ! [ Vd262,Vd263,Vd265 ] : ( ( less(Vd263, Vd265) & less(Vd262, Vd263) ) => less(Vd262, Vd265) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(168, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(163, 0), 0), axiom,
% 274.35/274.64 ! [ Vd258,Vd259 ] : ( leq(Vd258, Vd259) => geq(Vd259, Vd258) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(163, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(158, 0), 0), axiom,
% 274.35/274.64 ! [ Vd254,Vd255 ] : ( geq(Vd254, Vd255) => leq(Vd255, Vd254) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(158, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(def(cond(conseq(axiom(3)), 17), 1), axiom,
% 274.35/274.64 ! [ Vd249,Vd250 ] : ( leq(Vd250, Vd249) <=> ( less(Vd250, Vd249) | Vd250 = Vd249 ) ),
% 274.35/274.64 file('theBenchmark.p', def(cond(conseq(axiom(3)), 17), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(def(cond(conseq(axiom(3)), 16), 1), axiom,
% 274.35/274.64 ! [ Vd244,Vd245 ] : ( geq(Vd245, Vd244) <=> ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ),
% 274.35/274.64 file('theBenchmark.p', def(cond(conseq(axiom(3)), 16), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(147, 0), 0), axiom,
% 274.35/274.64 ! [ Vd226,Vd227 ] : ( less(Vd226, Vd227) => greater(Vd227, Vd226) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(147, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(140, 0), 0), axiom,
% 274.35/274.64 ! [ Vd208,Vd209 ] : ( greater(Vd208, Vd209) => less(Vd209, Vd208) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(140, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(130), 0), 0), axiom,
% 274.35/274.64 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(130), 0), 1), axiom,
% 274.35/274.64 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(130), 0), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(130), 0), 2), axiom,
% 274.35/274.64 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(130), 0), 3), axiom,
% 274.35/274.64 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 274.35/274.64
% 274.35/274.64 fof(def(cond(conseq(axiom(3)), 12), 1), axiom,
% 274.35/274.64 ! [ Vd198,Vd199 ] : ( less(Vd199, Vd198) <=> ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ),
% 274.35/274.64 file('theBenchmark.p', def(cond(conseq(axiom(3)), 12), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(def(cond(conseq(axiom(3)), 11), 1), axiom,
% 274.35/274.64 ! [ Vd193,Vd194 ] : ( greater(Vd194, Vd193) <=> ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ),
% 274.35/274.64 file('theBenchmark.p', def(cond(conseq(axiom(3)), 11), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(88), 0), 0), axiom,
% 274.35/274.64 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(88), 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(88), 0), 1), axiom,
% 274.35/274.64 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(88), 0), 1)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(88), 0), 2), axiom,
% 274.35/274.64 ! [ Vd120,Vd121 ] : ( ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(88), 0), 2)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(goal(88), 0), 3), axiom,
% 274.35/274.64 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(goal(88), 0), 3)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(81, 0), 0), axiom,
% 274.35/274.64 ! [ Vd104,Vd105 ] : ( ~( Vd104 = Vd105 ) => ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(81, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(73, 0), 0), axiom,
% 274.35/274.64 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(73, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(61, 0), 0), axiom,
% 274.35/274.64 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 274.35/274.64 file('theBenchmark.p', ass(cond(61, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(52, 0), 0), axiom,
% 274.35/274.64 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 274.35/274.64 file('theBenchmark.p', ass(cond(52, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(43, 0), 0), axiom,
% 274.35/274.64 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 274.35/274.64 file('theBenchmark.p', ass(cond(43, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(33, 0), 0), axiom,
% 274.35/274.64 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 274.35/274.64 file('theBenchmark.p', ass(cond(33, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), axiom,
% 274.35/274.64 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 274.35/274.64 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(20, 0), 0), axiom,
% 274.35/274.64 ! [ Vd24 ] : ( ~( Vd24 = v1 ) => Vd24 = vsucc(vskolem2(Vd24)) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(20, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(12, 0), 0), axiom,
% 274.35/274.64 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(12, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(ass(cond(6, 0), 0), axiom,
% 274.35/274.64 ! [ Vd7,Vd8 ] : ( ~( Vd7 = Vd8 ) => ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 274.35/274.64 file('theBenchmark.p', ass(cond(6, 0), 0)) ).
% 274.35/274.64
% 274.35/274.64 fof(qu(antec(axiom(3)), imp(antec(axiom(3)))), axiom,
% 274.35/274.64 ! [ Vd3,Vd4 ] : ( vsucc(Vd3) = vsucc(Vd4) => Vd3 = Vd4 ),
% 274.35/274.64 file('theBenchmark.p', qu(antec(axiom(3)), imp(antec(axiom(3))))) ).
% 274.35/274.64
% 274.35/274.64 fof(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)), axiom,
% 274.35/274.64 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 274.35/274.64 file('theBenchmark.p', qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))) ).
% 274.35/274.64
% 274.35/274.64 fof(f_1_1, negated_conjecture,
% 274.35/274.64 ~( greater(vmul(vd508, vd511), vmul(vd509, vd512)) ),
% 274.35/274.64 inference(negate,[status(cth)],[holds(conseq_conjunct2(315), 516, 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_1_2, negated_conjecture,
% 274.35/274.64 ( ( ( ~greater(vmul(vd508, vd511), vmul(vd509, vd512)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_1_3, negated_conjecture,
% 274.35/274.64 ( ~greater(vmul(vd508, vd511), vmul(vd509, vd512)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_1_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_2_1, plain,
% 274.35/274.64 vmul(vd512, vd509) = vmul(vd509, vd512),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct2(315), 515, 2)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_2_2, plain,
% 274.35/274.64 ( ( ( vmul(vd512, vd509) = vmul(vd509, vd512) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_2_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_2_3, plain,
% 274.35/274.64 ( vmul(vd512, vd509) = vmul(vd509, vd512) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_2_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_3_1, plain,
% 274.35/274.64 greater(vmul(vd511, vd509), vmul(vd512, vd509)),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct2(315), 515, 1)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_3_2, plain,
% 274.35/274.64 ( ( ( greater(vmul(vd511, vd509), vmul(vd512, vd509)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_3_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_3_3, plain,
% 274.35/274.64 ( greater(vmul(vd511, vd509), vmul(vd512, vd509)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_3_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_4_1, plain,
% 274.35/274.64 vmul(vd509, vd511) = vmul(vd511, vd509),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct2(315), 515, 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_4_2, plain,
% 274.35/274.64 ( ( ( vmul(vd509, vd511) = vmul(vd511, vd509) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_4_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_4_3, plain,
% 274.35/274.64 ( vmul(vd509, vd511) = vmul(vd511, vd509) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_4_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_5_1, plain,
% 274.35/274.64 greater(vmul(vd508, vd511), vmul(vd509, vd511)),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct1(315), 514, 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_5_2, plain,
% 274.35/274.64 ( ( ( greater(vmul(vd508, vd511), vmul(vd509, vd511)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_5_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_5_3, plain,
% 274.35/274.64 ( greater(vmul(vd508, vd511), vmul(vd509, vd511)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_5_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_6_1, plain,
% 274.35/274.64 greater(vd511, vd512),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct2(314), 513, 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_6_2, plain,
% 274.35/274.64 ( ( ( greater(vd511, vd512) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_6_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_6_3, plain,
% 274.35/274.64 ( greater(vd511, vd512) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_6_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_7_1, plain,
% 274.35/274.64 greater(vd508, vd509),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[holds(conjunct1(314), 510, 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_7_2, plain,
% 274.35/274.64 ( ( ( greater(vd508, vd509) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_7_1]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_7_3, plain,
% 274.35/274.64 ( greater(vd508, vd509) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_7_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_8_1, plain,
% 274.35/274.64 ! [ Vd496,Vd497,Vd498 ] : ( ~( less(vmul(Vd496, Vd497), vmul(Vd498, Vd497)) ) | less(Vd496, Vd498) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(conjunct2(conjunct2(307)), 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_8_2, plain,
% 274.35/274.64 ! [ U_2,U_1,U_0 ] : ( ~( less(vmul(U_2, U_1), vmul(U_0, U_1)) ) | less(U_2, U_0) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_8_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_8_3, plain,
% 274.35/274.64 ( ( ! [U_0, U_1, U_2] : ( ~less(vmul(U_2, U_1), vmul(U_0, U_1)) | less(U_2, U_0) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_8_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_8_4, plain,
% 274.35/274.64 ( ~less(vmul(U_2, U_1), vmul(U_0, U_1)) | less(U_2, U_0) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_8_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_9_1, plain,
% 274.35/274.64 ! [ Vd491,Vd492,Vd493 ] : ( ~( vmul(Vd491, Vd492) = vmul(Vd493, Vd492) ) | Vd491 = Vd493 ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(conjunct1(conjunct2(307)), 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_9_2, plain,
% 274.35/274.64 ! [ U_5,U_4,U_3 ] : ( ~( vmul(U_5, U_4) = vmul(U_3, U_4) ) | U_5 = U_3 ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_9_3, plain,
% 274.35/274.64 ( ( ! [U_3, U_4, U_5] : ( vmul(U_5, U_4) != vmul(U_3, U_4) | U_5 = U_3 ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_9_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_9_4, plain,
% 274.35/274.64 ( vmul(U_5, U_4) != vmul(U_3, U_4) | U_5 = U_3 ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_9_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_10_1, plain,
% 274.35/274.64 ! [ Vd486,Vd487,Vd488 ] : ( ~( greater(vmul(Vd486, Vd487), vmul(Vd488, Vd487)) ) | greater(Vd486, Vd488) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(conjunct1(307), 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_10_2, plain,
% 274.35/274.64 ! [ U_8,U_7,U_6 ] : ( ~( greater(vmul(U_8, U_7), vmul(U_6, U_7)) ) | greater(U_8, U_6) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_10_3, plain,
% 274.35/274.64 ( ( ! [U_7, U_6, U_8] : ( ~greater(vmul(U_8, U_7), vmul(U_6, U_7)) | greater(U_8, U_6) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_10_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_10_4, plain,
% 274.35/274.64 ( ~greater(vmul(U_8, U_7), vmul(U_6, U_7)) | greater(U_8, U_6) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_10_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_11_1, plain,
% 274.35/274.64 ! [ Vd456,Vd465,Vd466 ] : ( ~( less(Vd465, Vd466) ) | less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_11_2, plain,
% 274.35/274.64 ! [ U_11,U_10,U_9 ] : ( ~( less(U_10, U_9) ) | less(vmul(U_10, U_11), vmul(U_9, U_11)) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_11_3, plain,
% 274.35/274.64 ( ( ! [U_9, U_10, U_11] : ( ~less(U_10, U_9) | less(vmul(U_10, U_11), vmul(U_9, U_11)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_11_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_11_4, plain,
% 274.35/274.64 ( ~less(U_10, U_9) | less(vmul(U_10, U_11), vmul(U_9, U_11)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_11_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_12_1, plain,
% 274.35/274.64 ! [ Vd456,Vd461,Vd462 ] : ( ~( Vd461 = Vd462 ) | vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 1)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_12_2, plain,
% 274.35/274.64 ! [ U_14,U_13,U_12 ] : ( ~( U_13 = U_12 ) | vmul(U_13, U_14) = vmul(U_12, U_14) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_12_3, plain,
% 274.35/274.64 ( ( ! [U_12, U_13, U_14] : ( U_13 != U_12 | vmul(U_13, U_14) = vmul(U_12, U_14) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_12_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_12_4, plain,
% 274.35/274.64 ( U_13 != U_12 | vmul(U_13, U_14) = vmul(U_12, U_14) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_12_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_13_1, plain,
% 274.35/274.64 ! [ Vd456,Vd457,Vd458 ] : ( ~( greater(Vd457, Vd458) ) | greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 2)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_13_2, plain,
% 274.35/274.64 ! [ U_17,U_16,U_15 ] : ( ~( greater(U_16, U_15) ) | greater(vmul(U_16, U_17), vmul(U_15, U_17)) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_13_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_13_3, plain,
% 274.35/274.64 ( ( ! [U_15, U_16, U_17] : ( ~greater(U_16, U_15) | greater(vmul(U_16, U_17), vmul(U_15, U_17)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_13_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_13_4, plain,
% 274.35/274.64 ( ~greater(U_16, U_15) | greater(vmul(U_16, U_17), vmul(U_15, U_17)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_13_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_14_1, plain,
% 274.35/274.64 ! [ Vd444,Vd445,Vd446 ] : vmul(vmul(Vd444, Vd445), Vd446) = vmul(Vd444, vmul(Vd445, Vd446)),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(290, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_14_2, plain,
% 274.35/274.64 ! [ U_20,U_19,U_18 ] : vmul(vmul(U_20, U_19), U_18) = vmul(U_20, vmul(U_19, U_18)),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_14_3, plain,
% 274.35/274.64 ( ( ! [U_18, U_19, U_20] : ( vmul(vmul(U_20, U_19), U_18) = vmul(U_20, vmul(U_19, U_18)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_14_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_14_4, plain,
% 274.35/274.64 ( vmul(vmul(U_20, U_19), U_18) = vmul(U_20, vmul(U_19, U_18)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_14_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_15_1, plain,
% 274.35/274.64 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(281, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_15_2, plain,
% 274.35/274.64 ! [ U_23,U_22,U_21 ] : vmul(U_23, vplus(U_22, U_21)) = vplus(vmul(U_23, U_22), vmul(U_23, U_21)),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_15_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_15_3, plain,
% 274.35/274.64 ( ( ! [U_22, U_23, U_21] : ( vmul(U_23, vplus(U_22, U_21)) = vplus(vmul(U_23, U_22), vmul(U_23, U_21)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_15_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_15_4, plain,
% 274.35/274.64 ( vmul(U_23, vplus(U_22, U_21)) = vplus(vmul(U_23, U_22), vmul(U_23, U_21)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_15_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_16_1, plain,
% 274.35/274.64 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(270, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_16_2, plain,
% 274.35/274.64 ! [ U_25,U_24 ] : vmul(U_25, U_24) = vmul(U_24, U_25),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_16_3, plain,
% 274.35/274.64 ( ( ! [U_24, U_25] : ( vmul(U_25, U_24) = vmul(U_24, U_25) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_16_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_16_4, plain,
% 274.35/274.64 ( vmul(U_25, U_24) = vmul(U_24, U_25) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_16_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_17_1, plain,
% 274.35/274.64 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(261, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_17_2, plain,
% 274.35/274.64 ! [ U_27,U_26 ] : vmul(vsucc(U_27), U_26) = vplus(vmul(U_27, U_26), U_26),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_17_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_17_3, plain,
% 274.35/274.64 ( ( ! [U_26, U_27] : ( vmul(vsucc(U_27), U_26) = vplus(vmul(U_27, U_26), U_26) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_17_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_17_4, plain,
% 274.35/274.64 ( vmul(vsucc(U_27), U_26) = vplus(vmul(U_27, U_26), U_26) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_17_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_18_1, plain,
% 274.35/274.64 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(253, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_18_2, plain,
% 274.35/274.64 ! [ U_28 ] : vmul(v1, U_28) = U_28,
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_18_3, plain,
% 274.35/274.64 ( ( ! [U_28] : ( vmul(v1, U_28) = U_28 ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_18_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_18_4, plain,
% 274.35/274.64 ( vmul(v1, U_28) = U_28 ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_18_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_19_1, plain,
% 274.35/274.64 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_19_2, plain,
% 274.35/274.64 ! [ U_30,U_29 ] : ( vmul(U_30, vsucc(U_29)) = vplus(vmul(U_30, U_29), U_30) & vmul(U_30, v1) = U_30 ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_19_3, plain,
% 274.35/274.64 ( ! [ U_31 ] : vmul(U_31, v1) = U_31 & ! [ U_32,U_29 ] : vmul(U_32, vsucc(U_29)) = vplus(vmul(U_32, U_29), U_32) ),
% 274.35/274.64 inference(miniscope,[status(thm)],[f_19_2]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_19_4, plain,
% 274.35/274.64 ( ( ! [U_31] : ( vmul(U_31, v1) = U_31 ) ) & ( ! [U_32, U_29] : ( vmul(U_32, vsucc(U_29)) = vplus(vmul(U_32, U_29), U_32) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_19_3]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_19_5, plain,
% 274.35/274.64 ( vmul(U_31, v1) = U_31 ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_19_4]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_19_6, plain,
% 274.35/274.64 ( vmul(U_32, vsucc(U_29)) = vplus(vmul(U_32, U_29), U_32) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_19_4]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_20_1, plain,
% 274.35/274.64 ! [ Vd386,Vd387 ] : ( ~( less(Vd386, vplus(Vd387, v1)) ) | leq(Vd386, Vd387) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(241, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_20_2, plain,
% 274.35/274.64 ! [ U_34,U_33 ] : ( ~( less(U_34, vplus(U_33, v1)) ) | leq(U_34, U_33) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_20_3, plain,
% 274.35/274.64 ( ( ! [U_33, U_34] : ( ~less(U_34, vplus(U_33, v1)) | leq(U_34, U_33) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_20_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_20_4, plain,
% 274.35/274.64 ( ~less(U_34, vplus(U_33, v1)) | leq(U_34, U_33) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_20_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_21_1, plain,
% 274.35/274.64 ! [ Vd375,Vd376 ] : ( ~( greater(Vd375, Vd376) ) | geq(Vd375, vplus(Vd376, v1)) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(234, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_21_2, plain,
% 274.35/274.64 ! [ U_36,U_35 ] : ( ~( greater(U_36, U_35) ) | geq(U_36, vplus(U_35, v1)) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_21_3, plain,
% 274.35/274.64 ( ( ! [U_35, U_36] : ( ~greater(U_36, U_35) | geq(U_36, vplus(U_35, v1)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_21_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_21_4, plain,
% 274.35/274.64 ( ~greater(U_36, U_35) | geq(U_36, vplus(U_35, v1)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_21_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_22_1, plain,
% 274.35/274.64 ! [ Vd369 ] : geq(Vd369, v1),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(228, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_22_2, plain,
% 274.35/274.64 ! [ U_37 ] : geq(U_37, v1),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_22_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_22_3, plain,
% 274.35/274.64 ( ( ! [U_37] : ( geq(U_37, v1) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_22_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_22_4, plain,
% 274.35/274.64 ( geq(U_37, v1) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_22_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_23_1, plain,
% 274.35/274.64 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( ~( geq(Vd365, Vd366) ) | ~( geq(Vd362, Vd363) ) ) | geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(223, 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_23_2, plain,
% 274.35/274.64 ! [ U_41,U_40,U_39,U_38 ] : ( ( ~( geq(U_39, U_38) ) | ~( geq(U_41, U_40) ) ) | geq(vplus(U_41, U_39), vplus(U_40, U_38)) ),
% 274.35/274.64 inference(variable_rename,[status(thm)],[f_23_1]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_23_3, plain,
% 274.35/274.64 ( ( ! [U_38, U_39, U_40, U_41] : ( ~geq(U_39, U_38) | ~geq(U_41, U_40) | geq(vplus(U_41, U_39), vplus(U_40, U_38)) ) ) ),
% 274.35/274.64 inference(definitional_conversion,[status(esa)],[f_23_2]) ).
% 274.35/274.64
% 274.35/274.64 cnf(f_23_4, plain,
% 274.35/274.64 ( ~geq(U_39, U_38) | ~geq(U_41, U_40) | geq(vplus(U_41, U_39), vplus(U_40, U_38)) ),
% 274.35/274.64 inference(clausify,[status(thm)],[f_23_3]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_24_1, plain,
% 274.35/274.64 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( ~( greater(Vd355, Vd356) ) | ~( geq(Vd353, Vd354) ) ) & ( ~( geq(Vd355, Vd356) ) | ~( greater(Vd353, Vd354) ) ) ) | greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 274.35/274.64 inference(fof_nnf,[status(thm)],[ass(cond(goal(216), 0), 0)]) ).
% 274.35/274.64
% 274.35/274.64 fof(f_24_2, plain,
% 274.35/274.64 ! [ U_45,U_44,U_43,U_42 ] : ( ( ( ~( greater(U_43, U_42) ) | ~( geq(U_45, U_44) ) ) & ( ~( geq(U_43, U_42) ) | ~( greater(U_45, U_44) ) ) ) | greater(vplus(U_45, U_43), vplus(U_44, U_42)) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_24_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_24_3, plain,
% 274.35/274.65 ( ( ! [U_42, U_43, U_44, U_45] : ( sP0(U_42, U_43, U_44, U_45) | greater(vplus(U_45, U_43), vplus(U_44, U_42)) ) ) & ( ! [U_42, U_43, U_44, U_45] : ( ~sP0(U_42, U_43, U_44, U_45) | ~greater(U_43, U_42) | ~geq(U_45, U_44) ) ) & ( ! [U_42, U_43, U_44, U_45] : ( ~sP0(U_42, U_43, U_44, U_45) | ~geq(U_43, U_42) | ~greater(U_45, U_44) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_24_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_24_4, plain,
% 274.35/274.65 ( sP0(U_42, U_43, U_44, U_45) | greater(vplus(U_45, U_43), vplus(U_44, U_42)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_24_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_24_5, plain,
% 274.35/274.65 ( ~sP0(U_42, U_43, U_44, U_45) | ~greater(U_43, U_42) | ~geq(U_45, U_44) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_24_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_24_6, plain,
% 274.35/274.65 ( ~sP0(U_42, U_43, U_44, U_45) | ~geq(U_43, U_42) | ~greater(U_45, U_44) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_24_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_25_1, plain,
% 274.35/274.65 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( ~( greater(Vd340, Vd341) ) | ~( greater(Vd337, Vd338) ) ) | greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(209, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_25_2, plain,
% 274.35/274.65 ! [ U_49,U_48,U_47,U_46 ] : ( ( ~( greater(U_47, U_46) ) | ~( greater(U_49, U_48) ) ) | greater(vplus(U_49, U_47), vplus(U_48, U_46)) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_25_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_25_3, plain,
% 274.35/274.65 ( ( ! [U_46, U_47, U_48, U_49] : ( ~greater(U_47, U_46) | ~greater(U_49, U_48) | greater(vplus(U_49, U_47), vplus(U_48, U_46)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_25_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_25_4, plain,
% 274.35/274.65 ( ~greater(U_47, U_46) | ~greater(U_49, U_48) | greater(vplus(U_49, U_47), vplus(U_48, U_46)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_25_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_26_1, plain,
% 274.35/274.65 ! [ Vd328,Vd329,Vd330 ] : ( ~( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | less(Vd328, Vd329) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_26_2, plain,
% 274.35/274.65 ! [ U_52,U_51,U_50 ] : ( ~( less(vplus(U_52, U_50), vplus(U_51, U_50)) ) | less(U_52, U_51) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_26_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_26_3, plain,
% 274.35/274.65 ! [ U_52,U_51 ] : ( less(U_52, U_51) | ! [ U_50 ] : ~( less(vplus(U_52, U_50), vplus(U_51, U_50)) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_26_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_26_4, plain,
% 274.35/274.65 ( ( ! [U_51, U_50, U_52] : ( less(U_52, U_51) | ~less(vplus(U_52, U_50), vplus(U_51, U_50)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_26_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_26_5, plain,
% 274.35/274.65 ( less(U_52, U_51) | ~less(vplus(U_52, U_50), vplus(U_51, U_50)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_26_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_27_1, plain,
% 274.35/274.65 ! [ Vd328,Vd329,Vd330 ] : ( ~( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) ) | Vd328 = Vd329 ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_27_2, plain,
% 274.35/274.65 ! [ U_55,U_54,U_53 ] : ( ~( vplus(U_55, U_53) = vplus(U_54, U_53) ) | U_55 = U_54 ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_27_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_27_3, plain,
% 274.35/274.65 ! [ U_55,U_54 ] : ( U_55 = U_54 | ! [ U_53 ] : ~( vplus(U_55, U_53) = vplus(U_54, U_53) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_27_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_27_4, plain,
% 274.35/274.65 ( ( ! [U_53, U_54, U_55] : ( U_55 = U_54 | vplus(U_55, U_53) != vplus(U_54, U_53) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_27_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_27_5, plain,
% 274.35/274.65 ( U_55 = U_54 | vplus(U_55, U_53) != vplus(U_54, U_53) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_27_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_28_1, plain,
% 274.35/274.65 ! [ Vd328,Vd329,Vd330 ] : ( ~( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | greater(Vd328, Vd329) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 2)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_28_2, plain,
% 274.35/274.65 ! [ U_58,U_57,U_56 ] : ( ~( greater(vplus(U_58, U_56), vplus(U_57, U_56)) ) | greater(U_58, U_57) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_28_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_28_3, plain,
% 274.35/274.65 ! [ U_58,U_57 ] : ( greater(U_58, U_57) | ! [ U_56 ] : ~( greater(vplus(U_58, U_56), vplus(U_57, U_56)) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_28_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_28_4, plain,
% 274.35/274.65 ( ( ! [U_56, U_57, U_58] : ( greater(U_58, U_57) | ~greater(vplus(U_58, U_56), vplus(U_57, U_56)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_28_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_28_5, plain,
% 274.35/274.65 ( greater(U_58, U_57) | ~greater(vplus(U_58, U_56), vplus(U_57, U_56)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_28_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_29_1, plain,
% 274.35/274.65 ! [ Vd301,Vd302,Vd303 ] : ( ~( less(Vd301, Vd302) ) | less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_29_2, plain,
% 274.35/274.65 ! [ U_61,U_60,U_59 ] : ( ~( less(U_61, U_60) ) | less(vplus(U_61, U_59), vplus(U_60, U_59)) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_29_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_29_3, plain,
% 274.35/274.65 ! [ U_61,U_60 ] : ( ~( less(U_61, U_60) ) | ! [ U_59 ] : less(vplus(U_61, U_59), vplus(U_60, U_59)) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_29_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_29_4, plain,
% 274.35/274.65 ( ( ! [U_59, U_60, U_61] : ( ~less(U_61, U_60) | less(vplus(U_61, U_59), vplus(U_60, U_59)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_29_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_29_5, plain,
% 274.35/274.65 ( ~less(U_61, U_60) | less(vplus(U_61, U_59), vplus(U_60, U_59)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_29_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_30_1, plain,
% 274.35/274.65 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_30_2, plain,
% 274.35/274.65 ! [ U_64,U_63,U_62 ] : ( ~( U_64 = U_63 ) | vplus(U_64, U_62) = vplus(U_63, U_62) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_30_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_30_3, plain,
% 274.35/274.65 ! [ U_64,U_63 ] : ( ~( U_64 = U_63 ) | ! [ U_62 ] : vplus(U_64, U_62) = vplus(U_63, U_62) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_30_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_30_4, plain,
% 274.35/274.65 ( ( ! [U_62, U_63, U_64] : ( U_64 != U_63 | vplus(U_64, U_62) = vplus(U_63, U_62) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_30_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_30_5, plain,
% 274.35/274.65 ( U_64 != U_63 | vplus(U_64, U_62) = vplus(U_63, U_62) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_30_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_31_1, plain,
% 274.35/274.65 ! [ Vd301,Vd302,Vd303 ] : ( ~( greater(Vd301, Vd302) ) | greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 2)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_31_2, plain,
% 274.35/274.65 ! [ U_67,U_66,U_65 ] : ( ~( greater(U_67, U_66) ) | greater(vplus(U_67, U_65), vplus(U_66, U_65)) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_31_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_31_3, plain,
% 274.35/274.65 ! [ U_67,U_66 ] : ( ~( greater(U_67, U_66) ) | ! [ U_65 ] : greater(vplus(U_67, U_65), vplus(U_66, U_65)) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_31_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_31_4, plain,
% 274.35/274.65 ( ( ! [U_65, U_66, U_67] : ( ~greater(U_67, U_66) | greater(vplus(U_67, U_65), vplus(U_66, U_65)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_31_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_31_5, plain,
% 274.35/274.65 ( ~greater(U_67, U_66) | greater(vplus(U_67, U_65), vplus(U_66, U_65)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_31_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_32_1, plain,
% 274.35/274.65 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(189, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_32_2, plain,
% 274.35/274.65 ! [ U_69,U_68 ] : greater(vplus(U_69, U_68), U_69),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_32_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_32_3, plain,
% 274.35/274.65 ( ( ! [U_68, U_69] : ( greater(vplus(U_69, U_68), U_69) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_32_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_32_4, plain,
% 274.35/274.65 ( greater(vplus(U_69, U_68), U_69) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_32_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_33_1, plain,
% 274.35/274.65 ! [ Vd289,Vd290,Vd292 ] : ( ( ~( leq(Vd290, Vd292) ) | ~( leq(Vd289, Vd290) ) ) | leq(Vd289, Vd292) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(184, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_33_2, plain,
% 274.35/274.65 ! [ U_72,U_71,U_70 ] : ( ( ~( leq(U_71, U_70) ) | ~( leq(U_72, U_71) ) ) | leq(U_72, U_70) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_33_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_33_3, plain,
% 274.35/274.65 ( ( ! [U_70, U_71, U_72] : ( ~leq(U_71, U_70) | ~leq(U_72, U_71) | leq(U_72, U_70) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_33_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_33_4, plain,
% 274.35/274.65 ( ~leq(U_71, U_70) | ~leq(U_72, U_71) | leq(U_72, U_70) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_33_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_34_1, plain,
% 274.35/274.65 ! [ Vd281,Vd282,Vd283 ] : ( ( ( ~( less(Vd282, Vd283) ) | ~( leq(Vd281, Vd282) ) ) & ( ~( leq(Vd282, Vd283) ) | ~( less(Vd281, Vd282) ) ) ) | less(Vd281, Vd283) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(177), 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_34_2, plain,
% 274.35/274.65 ! [ U_75,U_74,U_73 ] : ( ( ( ~( less(U_74, U_73) ) | ~( leq(U_75, U_74) ) ) & ( ~( leq(U_74, U_73) ) | ~( less(U_75, U_74) ) ) ) | less(U_75, U_73) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_34_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_34_3, plain,
% 274.35/274.65 ( ( ! [U_75, U_73, U_74] : ( sP1(U_75, U_73, U_74) | less(U_75, U_73) ) ) & ( ! [U_75, U_73, U_74] : ( ~sP1(U_75, U_73, U_74) | ~less(U_74, U_73) | ~leq(U_75, U_74) ) ) & ( ! [U_75, U_73, U_74] : ( ~sP1(U_75, U_73, U_74) | ~leq(U_74, U_73) | ~less(U_75, U_74) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_34_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_34_4, plain,
% 274.35/274.65 ( sP1(U_75, U_73, U_74) | less(U_75, U_73) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_34_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_34_5, plain,
% 274.35/274.65 ( ~sP1(U_75, U_73, U_74) | ~less(U_74, U_73) | ~leq(U_75, U_74) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_34_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_34_6, plain,
% 274.35/274.65 ( ~sP1(U_75, U_73, U_74) | ~leq(U_74, U_73) | ~less(U_75, U_74) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_34_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_35_1, plain,
% 274.35/274.65 ! [ Vd262,Vd263,Vd265 ] : ( ( ~( less(Vd263, Vd265) ) | ~( less(Vd262, Vd263) ) ) | less(Vd262, Vd265) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(168, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_35_2, plain,
% 274.35/274.65 ! [ U_78,U_77,U_76 ] : ( ( ~( less(U_77, U_76) ) | ~( less(U_78, U_77) ) ) | less(U_78, U_76) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_35_3, plain,
% 274.35/274.65 ( ( ! [U_78, U_76, U_77] : ( ~less(U_77, U_76) | ~less(U_78, U_77) | less(U_78, U_76) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_35_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_35_4, plain,
% 274.35/274.65 ( ~less(U_77, U_76) | ~less(U_78, U_77) | less(U_78, U_76) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_35_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_36_1, plain,
% 274.35/274.65 ! [ Vd258,Vd259 ] : ( ~( leq(Vd258, Vd259) ) | geq(Vd259, Vd258) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(163, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_36_2, plain,
% 274.35/274.65 ! [ U_80,U_79 ] : ( ~( leq(U_80, U_79) ) | geq(U_79, U_80) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_36_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_36_3, plain,
% 274.35/274.65 ( ( ! [U_79, U_80] : ( ~leq(U_80, U_79) | geq(U_79, U_80) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_36_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_36_4, plain,
% 274.35/274.65 ( ~leq(U_80, U_79) | geq(U_79, U_80) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_36_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_37_1, plain,
% 274.35/274.65 ! [ Vd254,Vd255 ] : ( ~( geq(Vd254, Vd255) ) | leq(Vd255, Vd254) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(158, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_37_2, plain,
% 274.35/274.65 ! [ U_82,U_81 ] : ( ~( geq(U_82, U_81) ) | leq(U_81, U_82) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_37_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_37_3, plain,
% 274.35/274.65 ( ( ! [U_82, U_81] : ( ~geq(U_82, U_81) | leq(U_81, U_82) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_37_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_37_4, plain,
% 274.35/274.65 ( ~geq(U_82, U_81) | leq(U_81, U_82) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_37_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_38_1, plain,
% 274.35/274.65 ! [ Vd249,Vd250 ] : ( ( ~( leq(Vd250, Vd249) ) | ( less(Vd250, Vd249) | Vd250 = Vd249 ) ) & ( ( ~( less(Vd250, Vd249) ) & ~( Vd250 = Vd249 ) ) | leq(Vd250, Vd249) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 17), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_38_2, plain,
% 274.35/274.65 ! [ U_84,U_83 ] : ( ( ~( leq(U_83, U_84) ) | ( less(U_83, U_84) | U_83 = U_84 ) ) & ( ( ~( less(U_83, U_84) ) & ~( U_83 = U_84 ) ) | leq(U_83, U_84) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_38_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_38_3, plain,
% 274.35/274.65 ( ! [ U_87,U_85 ] : ( ~( leq(U_85, U_87) ) | ( less(U_85, U_87) | U_85 = U_87 ) ) & ! [ U_88,U_86 ] : ( ( ~( less(U_86, U_88) ) & ~( U_86 = U_88 ) ) | leq(U_86, U_88) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_38_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_38_4, plain,
% 274.35/274.65 ( ( ! [U_87, U_85] : ( ~leq(U_85, U_87) | less(U_85, U_87) | U_85 = U_87 ) ) & ( ! [U_88, U_86] : ( sP2(U_88, U_86) | leq(U_86, U_88) ) ) & ( ! [U_88, U_86] : ( ~sP2(U_88, U_86) | ~less(U_86, U_88) ) ) & ( ! [U_88, U_86] : ( ~sP2(U_88, U_86) | U_86 != U_88 ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_38_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_38_5, plain,
% 274.35/274.65 ( ~leq(U_85, U_87) | less(U_85, U_87) | U_85 = U_87 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_38_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_38_6, plain,
% 274.35/274.65 ( sP2(U_88, U_86) | leq(U_86, U_88) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_38_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_38_7, plain,
% 274.35/274.65 ( ~sP2(U_88, U_86) | ~less(U_86, U_88) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_38_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_38_8, plain,
% 274.35/274.65 ( ~sP2(U_88, U_86) | U_86 != U_88 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_38_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_39_1, plain,
% 274.35/274.65 ! [ Vd244,Vd245 ] : ( ( ~( geq(Vd245, Vd244) ) | ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ) & ( ( ~( greater(Vd245, Vd244) ) & ~( Vd245 = Vd244 ) ) | geq(Vd245, Vd244) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 16), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_39_2, plain,
% 274.35/274.65 ! [ U_90,U_89 ] : ( ( ~( geq(U_89, U_90) ) | ( greater(U_89, U_90) | U_89 = U_90 ) ) & ( ( ~( greater(U_89, U_90) ) & ~( U_89 = U_90 ) ) | geq(U_89, U_90) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_39_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_39_3, plain,
% 274.35/274.65 ( ! [ U_93,U_91 ] : ( ~( geq(U_91, U_93) ) | ( greater(U_91, U_93) | U_91 = U_93 ) ) & ! [ U_94,U_92 ] : ( ( ~( greater(U_92, U_94) ) & ~( U_92 = U_94 ) ) | geq(U_92, U_94) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_39_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_39_4, plain,
% 274.35/274.65 ( ( ! [U_93, U_91] : ( ~geq(U_91, U_93) | greater(U_91, U_93) | U_91 = U_93 ) ) & ( ! [U_92, U_94] : ( sP3(U_92, U_94) | geq(U_92, U_94) ) ) & ( ! [U_92, U_94] : ( ~sP3(U_92, U_94) | ~greater(U_92, U_94) ) ) & ( ! [U_92, U_94] : ( ~sP3(U_92, U_94) | U_92 != U_94 ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_39_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_39_5, plain,
% 274.35/274.65 ( ~geq(U_91, U_93) | greater(U_91, U_93) | U_91 = U_93 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_39_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_39_6, plain,
% 274.35/274.65 ( sP3(U_92, U_94) | geq(U_92, U_94) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_39_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_39_7, plain,
% 274.35/274.65 ( ~sP3(U_92, U_94) | ~greater(U_92, U_94) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_39_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_39_8, plain,
% 274.35/274.65 ( ~sP3(U_92, U_94) | U_92 != U_94 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_39_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_40_1, plain,
% 274.35/274.65 ! [ Vd226,Vd227 ] : ( ~( less(Vd226, Vd227) ) | greater(Vd227, Vd226) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(147, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_40_2, plain,
% 274.35/274.65 ! [ U_96,U_95 ] : ( ~( less(U_96, U_95) ) | greater(U_95, U_96) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_40_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_40_3, plain,
% 274.35/274.65 ( ( ! [U_95, U_96] : ( ~less(U_96, U_95) | greater(U_95, U_96) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_40_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_40_4, plain,
% 274.35/274.65 ( ~less(U_96, U_95) | greater(U_95, U_96) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_40_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_41_1, plain,
% 274.35/274.65 ! [ Vd208,Vd209 ] : ( ~( greater(Vd208, Vd209) ) | less(Vd209, Vd208) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(140, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_41_2, plain,
% 274.35/274.65 ! [ U_98,U_97 ] : ( ~( greater(U_98, U_97) ) | less(U_97, U_98) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_41_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_41_3, plain,
% 274.35/274.65 ( ( ! [U_98, U_97] : ( ~greater(U_98, U_97) | less(U_97, U_98) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_41_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_41_4, plain,
% 274.35/274.65 ( ~greater(U_98, U_97) | less(U_97, U_98) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_41_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_42_1, plain,
% 274.35/274.65 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_42_2, plain,
% 274.35/274.65 ! [ U_100,U_99 ] : ( U_100 = U_99 | greater(U_100, U_99) | less(U_100, U_99) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_42_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_42_3, plain,
% 274.35/274.65 ( ( ! [U_99, U_100] : ( U_100 = U_99 | greater(U_100, U_99) | less(U_100, U_99) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_42_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_42_4, plain,
% 274.35/274.65 ( U_100 = U_99 | greater(U_100, U_99) | less(U_100, U_99) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_42_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_43_1, plain,
% 274.35/274.65 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_43_2, plain,
% 274.35/274.65 ! [ U_102,U_101 ] : ( ~( U_102 = U_101 ) | ~( less(U_102, U_101) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_43_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_43_3, plain,
% 274.35/274.65 ( ( ! [U_101, U_102] : ( U_102 != U_101 | ~less(U_102, U_101) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_43_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_43_4, plain,
% 274.35/274.65 ( U_102 != U_101 | ~less(U_102, U_101) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_43_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_44_1, plain,
% 274.35/274.65 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_44_2, plain,
% 274.35/274.65 ! [ U_104,U_103 ] : ( ~( greater(U_104, U_103) ) | ~( less(U_104, U_103) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_44_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_44_3, plain,
% 274.35/274.65 ( ( ! [U_103, U_104] : ( ~greater(U_104, U_103) | ~less(U_104, U_103) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_44_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_44_4, plain,
% 274.35/274.65 ( ~greater(U_104, U_103) | ~less(U_104, U_103) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_44_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_45_1, plain,
% 274.35/274.65 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_45_2, plain,
% 274.35/274.65 ! [ U_106,U_105 ] : ( ~( U_106 = U_105 ) | ~( greater(U_106, U_105) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_45_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_45_3, plain,
% 274.35/274.65 ( ( ! [U_106, U_105] : ( U_106 != U_105 | ~greater(U_106, U_105) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_45_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_45_4, plain,
% 274.35/274.65 ( U_106 != U_105 | ~greater(U_106, U_105) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_45_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_46_1, plain,
% 274.35/274.65 ! [ Vd198,Vd199 ] : ( ( ~( less(Vd199, Vd198) ) | ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ) & ( ! [ Vd201 ] : ~( Vd198 = vplus(Vd199, Vd201) ) | less(Vd199, Vd198) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 12), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_46_2, plain,
% 274.35/274.65 ! [ U_110,U_109 ] : ( ( ~( less(U_109, U_110) ) | ? [ U_107 ] : U_110 = vplus(U_109, U_107) ) & ( ! [ U_108 ] : ~( U_110 = vplus(U_109, U_108) ) | less(U_109, U_110) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_46_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_46_3, plain,
% 274.35/274.65 ( ! [ U_113,U_111 ] : ( ~( less(U_111, U_113) ) | ? [ U_107 ] : U_113 = vplus(U_111, U_107) ) & ! [ U_114,U_112 ] : ( ! [ U_108 ] : ~( U_114 = vplus(U_112, U_108) ) | less(U_112, U_114) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_46_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_46_4, plain,
% 274.35/274.65 ( ! [ U_113,U_111 ] : ( ~( less(U_111, U_113) ) | U_113 = vplus(U_111, sK1(U_113, U_111)) ) & ! [ U_114,U_112 ] : ( ! [ U_108 ] : ~( U_114 = vplus(U_112, U_108) ) | less(U_112, U_114) ) ),
% 274.35/274.65 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_107,sK1(U_113, U_111))],[f_46_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_46_5, plain,
% 274.35/274.65 ( ( ! [U_111, U_113] : ( ~less(U_111, U_113) | U_113 = vplus(U_111, sK1(U_113, U_111)) ) ) & ( ! [U_112, U_114, U_108] : ( U_114 != vplus(U_112, U_108) | less(U_112, U_114) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_46_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_46_6, plain,
% 274.35/274.65 ( ~less(U_111, U_113) | U_113 = vplus(U_111, sK1(U_113, U_111)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_46_5]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_46_7, plain,
% 274.35/274.65 ( U_114 != vplus(U_112, U_108) | less(U_112, U_114) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_46_5]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_47_1, plain,
% 274.35/274.65 ! [ Vd193,Vd194 ] : ( ( ~( greater(Vd194, Vd193) ) | ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ) & ( ! [ Vd196 ] : ~( Vd194 = vplus(Vd193, Vd196) ) | greater(Vd194, Vd193) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 11), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_47_2, plain,
% 274.35/274.65 ! [ U_118,U_117 ] : ( ( ~( greater(U_117, U_118) ) | ? [ U_115 ] : U_117 = vplus(U_118, U_115) ) & ( ! [ U_116 ] : ~( U_117 = vplus(U_118, U_116) ) | greater(U_117, U_118) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_47_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_47_3, plain,
% 274.35/274.65 ( ! [ U_121,U_119 ] : ( ~( greater(U_119, U_121) ) | ? [ U_115 ] : U_119 = vplus(U_121, U_115) ) & ! [ U_122,U_120 ] : ( ! [ U_116 ] : ~( U_120 = vplus(U_122, U_116) ) | greater(U_120, U_122) ) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_47_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_47_4, plain,
% 274.35/274.65 ( ! [ U_121,U_119 ] : ( ~( greater(U_119, U_121) ) | U_119 = vplus(U_121, sK2(U_121, U_119)) ) & ! [ U_122,U_120 ] : ( ! [ U_116 ] : ~( U_120 = vplus(U_122, U_116) ) | greater(U_120, U_122) ) ),
% 274.35/274.65 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_115,sK2(U_121, U_119))],[f_47_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_47_5, plain,
% 274.35/274.65 ( ( ! [U_121, U_119] : ( ~greater(U_119, U_121) | U_119 = vplus(U_121, sK2(U_121, U_119)) ) ) & ( ! [U_116, U_122, U_120] : ( U_120 != vplus(U_122, U_116) | greater(U_120, U_122) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_47_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_47_6, plain,
% 274.35/274.65 ( ~greater(U_119, U_121) | U_119 = vplus(U_121, sK2(U_121, U_119)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_47_5]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_47_7, plain,
% 274.35/274.65 ( U_120 != vplus(U_122, U_116) | greater(U_120, U_122) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_47_5]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_48_1, plain,
% 274.35/274.65 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_48_2, plain,
% 274.35/274.65 ! [ U_126,U_125 ] : ( U_126 = U_125 | ? [ U_123 ] : U_126 = vplus(U_125, U_123) | ? [ U_124 ] : U_125 = vplus(U_126, U_124) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_48_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_48_3, plain,
% 274.35/274.65 ! [ U_126,U_125 ] : ( U_126 = U_125 | U_126 = vplus(U_125, sK3(U_126, U_125)) | ? [ U_124 ] : U_125 = vplus(U_126, U_124) ),
% 274.35/274.65 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_123,sK3(U_126, U_125))],[f_48_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_48_4, plain,
% 274.35/274.65 ! [ U_126,U_125 ] : ( U_126 = U_125 | U_126 = vplus(U_125, sK3(U_126, U_125)) | U_125 = vplus(U_126, sK4(U_126, U_125)) ),
% 274.35/274.65 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_124,sK4(U_126, U_125))],[f_48_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_48_5, plain,
% 274.35/274.65 ( ( ! [U_125, U_126] : ( U_126 = U_125 | U_126 = vplus(U_125, sK3(U_126, U_125)) | U_125 = vplus(U_126, sK4(U_126, U_125)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_48_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_48_6, plain,
% 274.35/274.65 ( U_126 = U_125 | U_126 = vplus(U_125, sK3(U_126, U_125)) | U_125 = vplus(U_126, sK4(U_126, U_125)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_48_5]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_49_1, plain,
% 274.35/274.65 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 1)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_49_2, plain,
% 274.35/274.65 ! [ U_129,U_128 ] : ( ~( U_129 = U_128 ) | ! [ U_127 ] : ~( U_128 = vplus(U_129, U_127) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_49_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_49_3, plain,
% 274.35/274.65 ( ( ! [U_127, U_128, U_129] : ( U_129 != U_128 | U_128 != vplus(U_129, U_127) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_49_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_49_4, plain,
% 274.35/274.65 ( U_129 != U_128 | U_128 != vplus(U_129, U_127) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_49_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_50_1, plain,
% 274.35/274.65 ! [ Vd120,Vd121 ] : ( ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 2)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_50_2, plain,
% 274.35/274.65 ! [ U_133,U_132 ] : ( ! [ U_130 ] : ~( U_133 = vplus(U_132, U_130) ) | ! [ U_131 ] : ~( U_132 = vplus(U_133, U_131) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_50_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_50_3, plain,
% 274.35/274.65 ( ( ! [U_131, U_130, U_132, U_133] : ( U_133 != vplus(U_132, U_130) | U_132 != vplus(U_133, U_131) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_50_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_50_4, plain,
% 274.35/274.65 ( U_133 != vplus(U_132, U_130) | U_132 != vplus(U_133, U_131) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_50_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_51_1, plain,
% 274.35/274.65 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 3)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_51_2, plain,
% 274.35/274.65 ! [ U_136,U_135 ] : ( ~( U_136 = U_135 ) | ! [ U_134 ] : ~( U_136 = vplus(U_135, U_134) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_51_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_51_3, plain,
% 274.35/274.65 ( ( ! [U_135, U_134, U_136] : ( U_136 != U_135 | U_136 != vplus(U_135, U_134) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_51_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_51_4, plain,
% 274.35/274.65 ( U_136 != U_135 | U_136 != vplus(U_135, U_134) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_51_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_52_1, plain,
% 274.35/274.65 ! [ Vd104,Vd105 ] : ( Vd104 = Vd105 | ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(81, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_52_2, plain,
% 274.35/274.65 ! [ U_139,U_138 ] : ( U_139 = U_138 | ! [ U_137 ] : ~( vplus(U_137, U_139) = vplus(U_137, U_138) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_52_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_52_3, plain,
% 274.35/274.65 ( ( ! [U_137, U_138, U_139] : ( U_139 = U_138 | vplus(U_137, U_139) != vplus(U_137, U_138) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_52_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_52_4, plain,
% 274.35/274.65 ( U_139 = U_138 | vplus(U_137, U_139) != vplus(U_137, U_138) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_52_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_53_1, plain,
% 274.35/274.65 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(73, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_53_2, plain,
% 274.35/274.65 ! [ U_141,U_140 ] : ~( U_140 = vplus(U_141, U_140) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_53_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_53_3, plain,
% 274.35/274.65 ( ( ! [U_140, U_141] : ( U_140 != vplus(U_141, U_140) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_53_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_53_4, plain,
% 274.35/274.65 ( U_140 != vplus(U_141, U_140) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_53_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_54_1, plain,
% 274.35/274.65 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(61, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_54_2, plain,
% 274.35/274.65 ! [ U_143,U_142 ] : vplus(U_142, U_143) = vplus(U_143, U_142),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_54_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_54_3, plain,
% 274.35/274.65 ( ( ! [U_142, U_143] : ( vplus(U_142, U_143) = vplus(U_143, U_142) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_54_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_54_4, plain,
% 274.35/274.65 ( vplus(U_142, U_143) = vplus(U_143, U_142) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_54_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_55_1, plain,
% 274.35/274.65 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(52, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_55_2, plain,
% 274.35/274.65 ! [ U_145,U_144 ] : vplus(vsucc(U_145), U_144) = vsucc(vplus(U_145, U_144)),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_55_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_55_3, plain,
% 274.35/274.65 ( ( ! [U_144, U_145] : ( vplus(vsucc(U_145), U_144) = vsucc(vplus(U_145, U_144)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_55_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_55_4, plain,
% 274.35/274.65 ( vplus(vsucc(U_145), U_144) = vsucc(vplus(U_145, U_144)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_55_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_56_1, plain,
% 274.35/274.65 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(43, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_56_2, plain,
% 274.35/274.65 ! [ U_146 ] : vplus(v1, U_146) = vsucc(U_146),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_56_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_56_3, plain,
% 274.35/274.65 ( ( ! [U_146] : ( vplus(v1, U_146) = vsucc(U_146) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_56_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_56_4, plain,
% 274.35/274.65 ( vplus(v1, U_146) = vsucc(U_146) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_56_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_57_1, plain,
% 274.35/274.65 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(33, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_57_2, plain,
% 274.35/274.65 ! [ U_149,U_148,U_147 ] : vplus(vplus(U_149, U_148), U_147) = vplus(U_149, vplus(U_148, U_147)),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_57_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_57_3, plain,
% 274.35/274.65 ( ( ! [U_148, U_149, U_147] : ( vplus(vplus(U_149, U_148), U_147) = vplus(U_149, vplus(U_148, U_147)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_57_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_57_4, plain,
% 274.35/274.65 ( vplus(vplus(U_149, U_148), U_147) = vplus(U_149, vplus(U_148, U_147)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_57_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_58_1, plain,
% 274.35/274.65 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_58_2, plain,
% 274.35/274.65 ! [ U_151,U_150 ] : ( vplus(U_151, vsucc(U_150)) = vsucc(vplus(U_151, U_150)) & vplus(U_151, v1) = vsucc(U_151) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_58_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_58_3, plain,
% 274.35/274.65 ( ! [ U_152 ] : vplus(U_152, v1) = vsucc(U_152) & ! [ U_153,U_150 ] : vplus(U_153, vsucc(U_150)) = vsucc(vplus(U_153, U_150)) ),
% 274.35/274.65 inference(miniscope,[status(thm)],[f_58_2]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_58_4, plain,
% 274.35/274.65 ( ( ! [U_152] : ( vplus(U_152, v1) = vsucc(U_152) ) ) & ( ! [U_150, U_153] : ( vplus(U_153, vsucc(U_150)) = vsucc(vplus(U_153, U_150)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_58_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_58_5, plain,
% 274.35/274.65 ( vplus(U_152, v1) = vsucc(U_152) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_58_4]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_58_6, plain,
% 274.35/274.65 ( vplus(U_153, vsucc(U_150)) = vsucc(vplus(U_153, U_150)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_58_4]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_59_1, plain,
% 274.35/274.65 ! [ Vd24 ] : ( Vd24 = v1 | Vd24 = vsucc(vskolem2(Vd24)) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(20, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_59_2, plain,
% 274.35/274.65 ! [ U_154 ] : ( U_154 = v1 | U_154 = vsucc(vskolem2(U_154)) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_59_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_59_3, plain,
% 274.35/274.65 ( ( ! [U_154] : ( U_154 = v1 | U_154 = vsucc(vskolem2(U_154)) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_59_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_59_4, plain,
% 274.35/274.65 ( U_154 = v1 | U_154 = vsucc(vskolem2(U_154)) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_59_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_60_1, plain,
% 274.35/274.65 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(12, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_60_2, plain,
% 274.35/274.65 ! [ U_155 ] : ~( vsucc(U_155) = U_155 ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_60_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_60_3, plain,
% 274.35/274.65 ( ( ! [U_155] : ( vsucc(U_155) != U_155 ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_60_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_60_4, plain,
% 274.35/274.65 ( vsucc(U_155) != U_155 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_60_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_61_1, plain,
% 274.35/274.65 ! [ Vd7,Vd8 ] : ( Vd7 = Vd8 | ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[ass(cond(6, 0), 0)]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_61_2, plain,
% 274.35/274.65 ! [ U_157,U_156 ] : ( U_157 = U_156 | ~( vsucc(U_157) = vsucc(U_156) ) ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_61_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_61_3, plain,
% 274.35/274.65 ( ( ! [U_157, U_156] : ( U_157 = U_156 | vsucc(U_157) != vsucc(U_156) ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_61_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_61_4, plain,
% 274.35/274.65 ( U_157 = U_156 | vsucc(U_157) != vsucc(U_156) ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_61_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_62_1, plain,
% 274.35/274.65 ! [ Vd3,Vd4 ] : ( ~( vsucc(Vd3) = vsucc(Vd4) ) | Vd3 = Vd4 ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[qu(antec(axiom(3)), imp(antec(axiom(3))))]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_62_2, plain,
% 274.35/274.65 ! [ U_159,U_158 ] : ( ~( vsucc(U_159) = vsucc(U_158) ) | U_159 = U_158 ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_62_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_62_3, plain,
% 274.35/274.65 ( ( ! [U_158, U_159] : ( vsucc(U_159) != vsucc(U_158) | U_159 = U_158 ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_62_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_62_4, plain,
% 274.35/274.65 ( vsucc(U_159) != vsucc(U_158) | U_159 = U_158 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_62_3]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_63_1, plain,
% 274.35/274.65 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 274.35/274.65 inference(fof_nnf,[status(thm)],[qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_63_2, plain,
% 274.35/274.65 ! [ U_160 ] : ~( vsucc(U_160) = v1 ),
% 274.35/274.65 inference(variable_rename,[status(thm)],[f_63_1]) ).
% 274.35/274.65
% 274.35/274.65 fof(f_63_3, plain,
% 274.35/274.65 ( ( ! [U_160] : ( vsucc(U_160) != v1 ) ) ),
% 274.35/274.65 inference(definitional_conversion,[status(esa)],[f_63_2]) ).
% 274.35/274.65
% 274.35/274.65 cnf(f_63_4, plain,
% 274.35/274.65 ( vsucc(U_160) != v1 ),
% 274.35/274.65 inference(clausify,[status(thm)],[f_63_3]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_1, axiom,
% 274.35/274.65 ( Eq_x_0 = Eq_x_0 ),
% 274.35/274.65 theory(equality,[reflexivity]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_2, axiom,
% 274.35/274.65 ( Eq_x_0 != Eq_x_1 | Eq_x_1 = Eq_x_0 ),
% 274.35/274.65 theory(equality,[symmetry]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_3, axiom,
% 274.35/274.65 ( Eq_x_0 != Eq_x_1 | Eq_x_1 != Eq_x_2 | Eq_x_0 = Eq_x_2 ),
% 274.35/274.65 theory(equality,[transitivity]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_4, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_5, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_6, axiom,
% 274.35/274.65 ( Eq_x_0 != Eq_y_0 | vsucc(Eq_x_0) = vsucc(Eq_y_0) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_7, axiom,
% 274.35/274.65 ( Eq_x_0 != Eq_y_0 | vskolem2(Eq_x_0) = vskolem2(Eq_y_0) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_8, axiom,
% 274.35/274.65 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK1(Eq_x_0, Eq_x_1) = sK1(Eq_y_0, Eq_y_1) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_9, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_10, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_11, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_functions]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_12, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_13, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_14, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_15, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_16, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_17, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_18, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(equality_19, axiom,
% 274.35/274.65 ( 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) ),
% 274.35/274.65 theory(equality,[substitution_predicates]) ).
% 274.35/274.65
% 274.35/274.65 cnf(sat_proved, plain, $false,
% 274.35/274.65 inference(cadical, [status(thm)], [
% 274.54/275.99 ]) ).
% 274.54/275.99 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------