%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM857+2 : 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 : n006.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 08:53:28 AM UTC 2026
% Result : Theorem 0.67s 1.02s
% Output : Proof 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM857+2 : 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
% 0.09/0.35 % Computer : n006.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 19:21:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.67/1.02 % SZS status Theorem for theBenchmark
% 0.67/1.02 % SZS output start Proof for theBenchmark
% 0.79/1.03 fof(holds(conseq(323), 532, 0), conjecture,
% 0.79/1.03 geq(vmul(vd526, vd529), vmul(vd527, vd530)),
% 0.79/1.03 file('theBenchmark.p', holds(conseq(323), 532, 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(holds(conjunct2(antec(323)), 531, 0), axiom,
% 0.79/1.03 geq(vd529, vd530),
% 0.79/1.03 file('theBenchmark.p', holds(conjunct2(antec(323)), 531, 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(holds(conjunct1(antec(323)), 528, 0), axiom,
% 0.79/1.03 geq(vd526, vd527),
% 0.79/1.03 file('theBenchmark.p', holds(conjunct1(antec(323)), 528, 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(318, 0), 0), axiom,
% 0.79/1.03 ! [ Vd517,Vd518,Vd519,Vd520 ] : ( ( ( greater(Vd519, Vd520) & geq(Vd517, Vd518) ) | ( geq(Vd519, Vd520) & greater(Vd517, Vd518) ) ) => greater(vmul(Vd517, Vd519), vmul(Vd518, Vd520)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(318, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(312, 0), 0), axiom,
% 0.79/1.03 ! [ Vd501,Vd502,Vd504,Vd505 ] : ( ( greater(Vd504, Vd505) & greater(Vd501, Vd502) ) => greater(vmul(Vd501, Vd504), vmul(Vd502, Vd505)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(312, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(conjunct2(conjunct2(307)), 0), 0), axiom,
% 0.79/1.03 ! [ Vd496,Vd497,Vd498 ] : ( less(vmul(Vd496, Vd497), vmul(Vd498, Vd497)) => less(Vd496, Vd498) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(conjunct2(conjunct2(307)), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(conjunct1(conjunct2(307)), 0), 0), axiom,
% 0.79/1.03 ! [ Vd491,Vd492,Vd493 ] : ( vmul(Vd491, Vd492) = vmul(Vd493, Vd492) => Vd491 = Vd493 ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(conjunct1(conjunct2(307)), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(conjunct1(307), 0), 0), axiom,
% 0.79/1.03 ! [ Vd486,Vd487,Vd488 ] : ( greater(vmul(Vd486, Vd487), vmul(Vd488, Vd487)) => greater(Vd486, Vd488) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(conjunct1(307), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(299, 0), 0), axiom,
% 0.79/1.03 ! [ Vd456,Vd465,Vd466 ] : ( less(Vd465, Vd466) => less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(299, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(299, 0), 1), axiom,
% 0.79/1.03 ! [ Vd456,Vd461,Vd462 ] : ( Vd461 = Vd462 => vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(299, 0), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(299, 0), 2), axiom,
% 0.79/1.03 ! [ Vd456,Vd457,Vd458 ] : ( greater(Vd457, Vd458) => greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(299, 0), 2)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(290, 0), 0), axiom,
% 0.79/1.03 ! [ Vd444,Vd445,Vd446 ] : vmul(vmul(Vd444, Vd445), Vd446) = vmul(Vd444, vmul(Vd445, Vd446)),
% 0.79/1.03 file('theBenchmark.p', ass(cond(290, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(281, 0), 0), axiom,
% 0.79/1.03 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 0.79/1.03 file('theBenchmark.p', ass(cond(281, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(270, 0), 0), axiom,
% 0.79/1.03 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 0.79/1.03 file('theBenchmark.p', ass(cond(270, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(261, 0), 0), axiom,
% 0.79/1.03 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 0.79/1.03 file('theBenchmark.p', ass(cond(261, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(253, 0), 0), axiom,
% 0.79/1.03 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 0.79/1.03 file('theBenchmark.p', ass(cond(253, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), axiom,
% 0.79/1.03 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 0.79/1.03 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(241, 0), 0), axiom,
% 0.79/1.03 ! [ Vd386,Vd387 ] : ( less(Vd386, vplus(Vd387, v1)) => leq(Vd386, Vd387) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(241, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(234, 0), 0), axiom,
% 0.79/1.03 ! [ Vd375,Vd376 ] : ( greater(Vd375, Vd376) => geq(Vd375, vplus(Vd376, v1)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(234, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(228, 0), 0), axiom,
% 0.79/1.03 ! [ Vd369 ] : geq(Vd369, v1),
% 0.79/1.03 file('theBenchmark.p', ass(cond(228, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(223, 0), 0), axiom,
% 0.79/1.03 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( geq(Vd365, Vd366) & geq(Vd362, Vd363) ) => geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(223, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(216), 0), 0), axiom,
% 0.79/1.03 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( greater(Vd355, Vd356) & geq(Vd353, Vd354) ) | ( geq(Vd355, Vd356) & greater(Vd353, Vd354) ) ) => greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(216), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(209, 0), 0), axiom,
% 0.79/1.03 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( greater(Vd340, Vd341) & greater(Vd337, Vd338) ) => greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(209, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(202), 0), 0), axiom,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => less(Vd328, Vd329) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(202), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(202), 0), 1), axiom,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) => Vd328 = Vd329 ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(202), 0), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(202), 0), 2), axiom,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => greater(Vd328, Vd329) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(202), 0), 2)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(193), 0), 0), axiom,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( less(Vd301, Vd302) => less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(193), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(193), 0), 1), axiom,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(193), 0), 2), axiom,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( greater(Vd301, Vd302) => greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(193), 0), 2)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(189, 0), 0), axiom,
% 0.79/1.03 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 0.79/1.03 file('theBenchmark.p', ass(cond(189, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(184, 0), 0), axiom,
% 0.79/1.03 ! [ Vd289,Vd290,Vd292 ] : ( ( leq(Vd290, Vd292) & leq(Vd289, Vd290) ) => leq(Vd289, Vd292) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(184, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(177), 0), 0), axiom,
% 0.79/1.03 ! [ Vd281,Vd282,Vd283 ] : ( ( ( less(Vd282, Vd283) & leq(Vd281, Vd282) ) | ( leq(Vd282, Vd283) & less(Vd281, Vd282) ) ) => less(Vd281, Vd283) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(177), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(168, 0), 0), axiom,
% 0.79/1.03 ! [ Vd262,Vd263,Vd265 ] : ( ( less(Vd263, Vd265) & less(Vd262, Vd263) ) => less(Vd262, Vd265) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(168, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(163, 0), 0), axiom,
% 0.79/1.03 ! [ Vd258,Vd259 ] : ( leq(Vd258, Vd259) => geq(Vd259, Vd258) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(163, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(158, 0), 0), axiom,
% 0.79/1.03 ! [ Vd254,Vd255 ] : ( geq(Vd254, Vd255) => leq(Vd255, Vd254) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(158, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(def(cond(conseq(axiom(3)), 17), 1), axiom,
% 0.79/1.03 ! [ Vd249,Vd250 ] : ( leq(Vd250, Vd249) <=> ( less(Vd250, Vd249) | Vd250 = Vd249 ) ),
% 0.79/1.03 file('theBenchmark.p', def(cond(conseq(axiom(3)), 17), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(def(cond(conseq(axiom(3)), 16), 1), axiom,
% 0.79/1.03 ! [ Vd244,Vd245 ] : ( geq(Vd245, Vd244) <=> ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ),
% 0.79/1.03 file('theBenchmark.p', def(cond(conseq(axiom(3)), 16), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(147, 0), 0), axiom,
% 0.79/1.03 ! [ Vd226,Vd227 ] : ( less(Vd226, Vd227) => greater(Vd227, Vd226) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(147, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(140, 0), 0), axiom,
% 0.79/1.03 ! [ Vd208,Vd209 ] : ( greater(Vd208, Vd209) => less(Vd209, Vd208) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(140, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(130), 0), 0), axiom,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(130), 0), 1), axiom,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(130), 0), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(130), 0), 2), axiom,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(130), 0), 3), axiom,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 0.79/1.03
% 0.79/1.03 fof(def(cond(conseq(axiom(3)), 12), 1), axiom,
% 0.79/1.03 ! [ Vd198,Vd199 ] : ( less(Vd199, Vd198) <=> ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ),
% 0.79/1.03 file('theBenchmark.p', def(cond(conseq(axiom(3)), 12), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(def(cond(conseq(axiom(3)), 11), 1), axiom,
% 0.79/1.03 ! [ Vd193,Vd194 ] : ( greater(Vd194, Vd193) <=> ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ),
% 0.79/1.03 file('theBenchmark.p', def(cond(conseq(axiom(3)), 11), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(88), 0), 0), axiom,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(88), 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(88), 0), 1), axiom,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(88), 0), 1)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(88), 0), 2), axiom,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(88), 0), 2)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(goal(88), 0), 3), axiom,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(goal(88), 0), 3)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(81, 0), 0), axiom,
% 0.79/1.03 ! [ Vd104,Vd105 ] : ( ~( Vd104 = Vd105 ) => ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(81, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(73, 0), 0), axiom,
% 0.79/1.03 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(73, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(61, 0), 0), axiom,
% 0.79/1.03 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 0.79/1.03 file('theBenchmark.p', ass(cond(61, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(52, 0), 0), axiom,
% 0.79/1.03 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 0.79/1.03 file('theBenchmark.p', ass(cond(52, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(43, 0), 0), axiom,
% 0.79/1.03 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 0.79/1.03 file('theBenchmark.p', ass(cond(43, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(33, 0), 0), axiom,
% 0.79/1.03 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 0.79/1.03 file('theBenchmark.p', ass(cond(33, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), axiom,
% 0.79/1.03 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 0.79/1.03 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(20, 0), 0), axiom,
% 0.79/1.03 ! [ Vd24 ] : ( ~( Vd24 = v1 ) => Vd24 = vsucc(vskolem2(Vd24)) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(20, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(12, 0), 0), axiom,
% 0.79/1.03 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(12, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(ass(cond(6, 0), 0), axiom,
% 0.79/1.03 ! [ Vd7,Vd8 ] : ( ~( Vd7 = Vd8 ) => ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 0.79/1.03 file('theBenchmark.p', ass(cond(6, 0), 0)) ).
% 0.79/1.03
% 0.79/1.03 fof(qu(antec(axiom(3)), imp(antec(axiom(3)))), axiom,
% 0.79/1.03 ! [ Vd3,Vd4 ] : ( vsucc(Vd3) = vsucc(Vd4) => Vd3 = Vd4 ),
% 0.79/1.03 file('theBenchmark.p', qu(antec(axiom(3)), imp(antec(axiom(3))))) ).
% 0.79/1.03
% 0.79/1.03 fof(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)), axiom,
% 0.79/1.03 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 0.79/1.03 file('theBenchmark.p', qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))) ).
% 0.79/1.03
% 0.79/1.03 fof(f_1_1, negated_conjecture,
% 0.79/1.03 ~( geq(vmul(vd526, vd529), vmul(vd527, vd530)) ),
% 0.79/1.03 inference(negate,[status(cth)],[holds(conseq(323), 532, 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_1_2, negated_conjecture,
% 0.79/1.03 ( ( ( ~geq(vmul(vd526, vd529), vmul(vd527, vd530)) ) ) ),
% 0.79/1.03 inference(definitional_conversion,[status(esa)],[f_1_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_1_3, negated_conjecture,
% 0.79/1.03 ( ~geq(vmul(vd526, vd529), vmul(vd527, vd530)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_1_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_2_1, plain,
% 0.79/1.03 geq(vd529, vd530),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[holds(conjunct2(antec(323)), 531, 0)]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_2_2, plain,
% 0.79/1.03 ( geq(vd529, vd530) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_2_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_3_1, plain,
% 0.79/1.03 geq(vd526, vd527),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[holds(conjunct1(antec(323)), 528, 0)]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_3_2, plain,
% 0.79/1.03 ( geq(vd526, vd527) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_3_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_4_1, plain,
% 0.79/1.03 ! [ Vd517,Vd518,Vd519,Vd520 ] : ( ( ( ~( greater(Vd519, Vd520) ) | ~( geq(Vd517, Vd518) ) ) & ( ~( geq(Vd519, Vd520) ) | ~( greater(Vd517, Vd518) ) ) ) | greater(vmul(Vd517, Vd519), vmul(Vd518, Vd520)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(318, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_4_2, plain,
% 0.79/1.03 ! [ U_3,U_2,U_1,U_0 ] : ( ( ( ~( greater(U_1, U_0) ) | ~( geq(U_3, U_2) ) ) & ( ~( geq(U_1, U_0) ) | ~( greater(U_3, U_2) ) ) ) | greater(vmul(U_3, U_1), vmul(U_2, U_0)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_4_3, plain,
% 0.79/1.03 ( greater(vmul(U_3, U_1), vmul(U_2, U_0)) | ~greater(U_1, U_0) | ~geq(U_3, U_2) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_4_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_4_4, plain,
% 0.79/1.03 ( greater(vmul(U_3, U_1), vmul(U_2, U_0)) | ~geq(U_1, U_0) | ~greater(U_3, U_2) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_4_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_5_1, plain,
% 0.79/1.03 ! [ Vd501,Vd502,Vd504,Vd505 ] : ( ( ~( greater(Vd504, Vd505) ) | ~( greater(Vd501, Vd502) ) ) | greater(vmul(Vd501, Vd504), vmul(Vd502, Vd505)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(312, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_5_2, plain,
% 0.79/1.03 ! [ U_7,U_6,U_5,U_4 ] : ( ( ~( greater(U_5, U_4) ) | ~( greater(U_7, U_6) ) ) | greater(vmul(U_7, U_5), vmul(U_6, U_4)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_5_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_5_3, plain,
% 0.79/1.03 ( ~greater(U_5, U_4) | ~greater(U_7, U_6) | greater(vmul(U_7, U_5), vmul(U_6, U_4)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_5_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_6_1, plain,
% 0.79/1.03 ! [ Vd496,Vd497,Vd498 ] : ( ~( less(vmul(Vd496, Vd497), vmul(Vd498, Vd497)) ) | less(Vd496, Vd498) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(conjunct2(conjunct2(307)), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_6_2, plain,
% 0.79/1.03 ! [ U_10,U_9,U_8 ] : ( ~( less(vmul(U_10, U_9), vmul(U_8, U_9)) ) | less(U_10, U_8) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_6_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_6_3, plain,
% 0.79/1.03 ( ~less(vmul(U_10, U_9), vmul(U_8, U_9)) | less(U_10, U_8) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_6_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_7_1, plain,
% 0.79/1.03 ! [ Vd491,Vd492,Vd493 ] : ( ~( vmul(Vd491, Vd492) = vmul(Vd493, Vd492) ) | Vd491 = Vd493 ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(conjunct1(conjunct2(307)), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_7_2, plain,
% 0.79/1.03 ! [ U_13,U_12,U_11 ] : ( ~( vmul(U_13, U_12) = vmul(U_11, U_12) ) | U_13 = U_11 ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_7_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_7_3, plain,
% 0.79/1.03 ( vmul(U_13, U_12) != vmul(U_11, U_12) | U_13 = U_11 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_7_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_8_1, plain,
% 0.79/1.03 ! [ Vd486,Vd487,Vd488 ] : ( ~( greater(vmul(Vd486, Vd487), vmul(Vd488, Vd487)) ) | greater(Vd486, Vd488) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(conjunct1(307), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_8_2, plain,
% 0.79/1.03 ! [ U_16,U_15,U_14 ] : ( ~( greater(vmul(U_16, U_15), vmul(U_14, U_15)) ) | greater(U_16, U_14) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_8_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_8_3, plain,
% 0.79/1.03 ( ~greater(vmul(U_16, U_15), vmul(U_14, U_15)) | greater(U_16, U_14) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_8_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_9_1, plain,
% 0.79/1.03 ! [ Vd456,Vd465,Vd466 ] : ( ~( less(Vd465, Vd466) ) | less(vmul(Vd465, Vd456), vmul(Vd466, Vd456)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_9_2, plain,
% 0.79/1.03 ! [ U_19,U_18,U_17 ] : ( ~( less(U_18, U_17) ) | less(vmul(U_18, U_19), vmul(U_17, U_19)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_9_3, plain,
% 0.79/1.03 ( ~less(U_18, U_17) | less(vmul(U_18, U_19), vmul(U_17, U_19)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_9_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_10_1, plain,
% 0.79/1.03 ! [ Vd456,Vd461,Vd462 ] : ( ~( Vd461 = Vd462 ) | vmul(Vd461, Vd456) = vmul(Vd462, Vd456) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_10_2, plain,
% 0.79/1.03 ! [ U_22,U_21,U_20 ] : ( ~( U_21 = U_20 ) | vmul(U_21, U_22) = vmul(U_20, U_22) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_10_3, plain,
% 0.79/1.03 ( U_21 != U_20 | vmul(U_21, U_22) = vmul(U_20, U_22) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_10_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_11_1, plain,
% 0.79/1.03 ! [ Vd456,Vd457,Vd458 ] : ( ~( greater(Vd457, Vd458) ) | greater(vmul(Vd457, Vd456), vmul(Vd458, Vd456)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(299, 0), 2)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_11_2, plain,
% 0.79/1.03 ! [ U_25,U_24,U_23 ] : ( ~( greater(U_24, U_23) ) | greater(vmul(U_24, U_25), vmul(U_23, U_25)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_11_3, plain,
% 0.79/1.03 ( ~greater(U_24, U_23) | greater(vmul(U_24, U_25), vmul(U_23, U_25)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_11_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_12_1, plain,
% 0.79/1.03 ! [ Vd444,Vd445,Vd446 ] : vmul(vmul(Vd444, Vd445), Vd446) = vmul(Vd444, vmul(Vd445, Vd446)),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(290, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_12_2, plain,
% 0.79/1.03 ! [ U_28,U_27,U_26 ] : vmul(vmul(U_28, U_27), U_26) = vmul(U_28, vmul(U_27, U_26)),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_12_3, plain,
% 0.79/1.03 ( vmul(vmul(U_28, U_27), U_26) = vmul(U_28, vmul(U_27, U_26)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_12_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_13_1, plain,
% 0.79/1.03 ! [ Vd432,Vd433,Vd434 ] : vmul(Vd432, vplus(Vd433, Vd434)) = vplus(vmul(Vd432, Vd433), vmul(Vd432, Vd434)),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(281, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_13_2, plain,
% 0.79/1.03 ! [ U_31,U_30,U_29 ] : vmul(U_31, vplus(U_30, U_29)) = vplus(vmul(U_31, U_30), vmul(U_31, U_29)),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_13_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_13_3, plain,
% 0.79/1.03 ( vmul(U_31, vplus(U_30, U_29)) = vplus(vmul(U_31, U_30), vmul(U_31, U_29)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_13_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_14_1, plain,
% 0.79/1.03 ! [ Vd418,Vd419 ] : vmul(Vd418, Vd419) = vmul(Vd419, Vd418),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(270, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_14_2, plain,
% 0.79/1.03 ! [ U_33,U_32 ] : vmul(U_33, U_32) = vmul(U_32, U_33),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_14_3, plain,
% 0.79/1.03 ( vmul(U_33, U_32) = vmul(U_32, U_33) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_14_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_15_1, plain,
% 0.79/1.03 ! [ Vd408,Vd409 ] : vmul(vsucc(Vd408), Vd409) = vplus(vmul(Vd408, Vd409), Vd409),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(261, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_15_2, plain,
% 0.79/1.03 ! [ U_35,U_34 ] : vmul(vsucc(U_35), U_34) = vplus(vmul(U_35, U_34), U_34),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_15_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_15_3, plain,
% 0.79/1.03 ( vmul(vsucc(U_35), U_34) = vplus(vmul(U_35, U_34), U_34) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_15_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_16_1, plain,
% 0.79/1.03 ! [ Vd400 ] : vmul(v1, Vd400) = Vd400,
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(253, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_16_2, plain,
% 0.79/1.03 ! [ U_36 ] : vmul(v1, U_36) = U_36,
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_16_3, plain,
% 0.79/1.03 ( vmul(v1, U_36) = U_36 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_16_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_17_1, plain,
% 0.79/1.03 ! [ Vd396,Vd397 ] : ( vmul(Vd396, vsucc(Vd397)) = vplus(vmul(Vd396, Vd397), Vd396) & vmul(Vd396, v1) = Vd396 ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_17_2, plain,
% 0.79/1.03 ! [ U_38,U_37 ] : ( vmul(U_38, vsucc(U_37)) = vplus(vmul(U_38, U_37), U_38) & vmul(U_38, v1) = U_38 ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_17_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_17_3, plain,
% 0.79/1.03 ( ! [ U_39 ] : vmul(U_39, v1) = U_39 & ! [ U_40,U_37 ] : vmul(U_40, vsucc(U_37)) = vplus(vmul(U_40, U_37), U_40) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_17_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_17_4, plain,
% 0.79/1.03 ( vmul(U_39, v1) = U_39 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_17_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_17_5, plain,
% 0.79/1.03 ( vmul(U_40, vsucc(U_37)) = vplus(vmul(U_40, U_37), U_40) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_17_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_18_1, plain,
% 0.79/1.03 ! [ Vd386,Vd387 ] : ( ~( less(Vd386, vplus(Vd387, v1)) ) | leq(Vd386, Vd387) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(241, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_18_2, plain,
% 0.79/1.03 ! [ U_42,U_41 ] : ( ~( less(U_42, vplus(U_41, v1)) ) | leq(U_42, U_41) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_18_3, plain,
% 0.79/1.03 ( ~less(U_42, vplus(U_41, v1)) | leq(U_42, U_41) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_18_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_19_1, plain,
% 0.79/1.03 ! [ Vd375,Vd376 ] : ( ~( greater(Vd375, Vd376) ) | geq(Vd375, vplus(Vd376, v1)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(234, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_19_2, plain,
% 0.79/1.03 ! [ U_44,U_43 ] : ( ~( greater(U_44, U_43) ) | geq(U_44, vplus(U_43, v1)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_19_3, plain,
% 0.79/1.03 ( ~greater(U_44, U_43) | geq(U_44, vplus(U_43, v1)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_19_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_20_1, plain,
% 0.79/1.03 ! [ Vd369 ] : geq(Vd369, v1),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(228, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_20_2, plain,
% 0.79/1.03 ! [ U_45 ] : geq(U_45, v1),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_20_3, plain,
% 0.79/1.03 ( geq(U_45, v1) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_20_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_21_1, plain,
% 0.79/1.03 ! [ Vd362,Vd363,Vd365,Vd366 ] : ( ( ~( geq(Vd365, Vd366) ) | ~( geq(Vd362, Vd363) ) ) | geq(vplus(Vd362, Vd365), vplus(Vd363, Vd366)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(223, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_21_2, plain,
% 0.79/1.03 ! [ U_49,U_48,U_47,U_46 ] : ( ( ~( geq(U_47, U_46) ) | ~( geq(U_49, U_48) ) ) | geq(vplus(U_49, U_47), vplus(U_48, U_46)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_21_3, plain,
% 0.79/1.03 ( ~geq(U_47, U_46) | ~geq(U_49, U_48) | geq(vplus(U_49, U_47), vplus(U_48, U_46)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_21_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_22_1, plain,
% 0.79/1.03 ! [ Vd353,Vd354,Vd355,Vd356 ] : ( ( ( ~( greater(Vd355, Vd356) ) | ~( geq(Vd353, Vd354) ) ) & ( ~( geq(Vd355, Vd356) ) | ~( greater(Vd353, Vd354) ) ) ) | greater(vplus(Vd353, Vd355), vplus(Vd354, Vd356)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(216), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_22_2, plain,
% 0.79/1.03 ! [ U_53,U_52,U_51,U_50 ] : ( ( ( ~( greater(U_51, U_50) ) | ~( geq(U_53, U_52) ) ) & ( ~( geq(U_51, U_50) ) | ~( greater(U_53, U_52) ) ) ) | greater(vplus(U_53, U_51), vplus(U_52, U_50)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_22_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_22_3, plain,
% 0.79/1.03 ( greater(vplus(U_53, U_51), vplus(U_52, U_50)) | ~greater(U_51, U_50) | ~geq(U_53, U_52) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_22_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_22_4, plain,
% 0.79/1.03 ( greater(vplus(U_53, U_51), vplus(U_52, U_50)) | ~geq(U_51, U_50) | ~greater(U_53, U_52) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_22_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_23_1, plain,
% 0.79/1.03 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( ~( greater(Vd340, Vd341) ) | ~( greater(Vd337, Vd338) ) ) | greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(209, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_23_2, plain,
% 0.79/1.03 ! [ U_57,U_56,U_55,U_54 ] : ( ( ~( greater(U_55, U_54) ) | ~( greater(U_57, U_56) ) ) | greater(vplus(U_57, U_55), vplus(U_56, U_54)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_23_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_23_3, plain,
% 0.79/1.03 ( ~greater(U_55, U_54) | ~greater(U_57, U_56) | greater(vplus(U_57, U_55), vplus(U_56, U_54)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_23_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_24_1, plain,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( ~( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | less(Vd328, Vd329) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_24_2, plain,
% 0.79/1.03 ! [ U_60,U_59,U_58 ] : ( ~( less(vplus(U_60, U_58), vplus(U_59, U_58)) ) | less(U_60, U_59) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_24_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_24_3, plain,
% 0.79/1.03 ! [ U_60,U_59 ] : ( less(U_60, U_59) | ! [ U_58 ] : ~( less(vplus(U_60, U_58), vplus(U_59, U_58)) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_24_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_24_4, plain,
% 0.79/1.03 ( less(U_60, U_59) | ~less(vplus(U_60, U_58), vplus(U_59, U_58)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_24_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_25_1, plain,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( ~( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) ) | Vd328 = Vd329 ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_25_2, plain,
% 0.79/1.03 ! [ U_63,U_62,U_61 ] : ( ~( vplus(U_63, U_61) = vplus(U_62, U_61) ) | U_63 = U_62 ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_25_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_25_3, plain,
% 0.79/1.03 ! [ U_63,U_62 ] : ( U_63 = U_62 | ! [ U_61 ] : ~( vplus(U_63, U_61) = vplus(U_62, U_61) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_25_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_25_4, plain,
% 0.79/1.03 ( U_63 = U_62 | vplus(U_63, U_61) != vplus(U_62, U_61) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_25_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_26_1, plain,
% 0.79/1.03 ! [ Vd328,Vd329,Vd330 ] : ( ~( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | greater(Vd328, Vd329) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 2)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_26_2, plain,
% 0.79/1.03 ! [ U_66,U_65,U_64 ] : ( ~( greater(vplus(U_66, U_64), vplus(U_65, U_64)) ) | greater(U_66, U_65) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_26_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_26_3, plain,
% 0.79/1.03 ! [ U_66,U_65 ] : ( greater(U_66, U_65) | ! [ U_64 ] : ~( greater(vplus(U_66, U_64), vplus(U_65, U_64)) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_26_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_26_4, plain,
% 0.79/1.03 ( greater(U_66, U_65) | ~greater(vplus(U_66, U_64), vplus(U_65, U_64)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_26_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_27_1, plain,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( ~( less(Vd301, Vd302) ) | less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_27_2, plain,
% 0.79/1.03 ! [ U_69,U_68,U_67 ] : ( ~( less(U_69, U_68) ) | less(vplus(U_69, U_67), vplus(U_68, U_67)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_27_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_27_3, plain,
% 0.79/1.03 ! [ U_69,U_68 ] : ( ~( less(U_69, U_68) ) | ! [ U_67 ] : less(vplus(U_69, U_67), vplus(U_68, U_67)) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_27_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_27_4, plain,
% 0.79/1.03 ( ~less(U_69, U_68) | less(vplus(U_69, U_67), vplus(U_68, U_67)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_27_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_28_1, plain,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_28_2, plain,
% 0.79/1.03 ! [ U_72,U_71,U_70 ] : ( ~( U_72 = U_71 ) | vplus(U_72, U_70) = vplus(U_71, U_70) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_28_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_28_3, plain,
% 0.79/1.03 ! [ U_72,U_71 ] : ( ~( U_72 = U_71 ) | ! [ U_70 ] : vplus(U_72, U_70) = vplus(U_71, U_70) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_28_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_28_4, plain,
% 0.79/1.03 ( U_72 != U_71 | vplus(U_72, U_70) = vplus(U_71, U_70) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_28_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_29_1, plain,
% 0.79/1.03 ! [ Vd301,Vd302,Vd303 ] : ( ~( greater(Vd301, Vd302) ) | greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 2)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_29_2, plain,
% 0.79/1.03 ! [ U_75,U_74,U_73 ] : ( ~( greater(U_75, U_74) ) | greater(vplus(U_75, U_73), vplus(U_74, U_73)) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_29_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_29_3, plain,
% 0.79/1.03 ! [ U_75,U_74 ] : ( ~( greater(U_75, U_74) ) | ! [ U_73 ] : greater(vplus(U_75, U_73), vplus(U_74, U_73)) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_29_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_29_4, plain,
% 0.79/1.03 ( ~greater(U_75, U_74) | greater(vplus(U_75, U_73), vplus(U_74, U_73)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_29_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_30_1, plain,
% 0.79/1.03 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(189, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_30_2, plain,
% 0.79/1.03 ! [ U_77,U_76 ] : greater(vplus(U_77, U_76), U_77),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_30_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_30_3, plain,
% 0.79/1.03 ( greater(vplus(U_77, U_76), U_77) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_30_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_31_1, plain,
% 0.79/1.03 ! [ Vd289,Vd290,Vd292 ] : ( ( ~( leq(Vd290, Vd292) ) | ~( leq(Vd289, Vd290) ) ) | leq(Vd289, Vd292) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(184, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_31_2, plain,
% 0.79/1.03 ! [ U_80,U_79,U_78 ] : ( ( ~( leq(U_79, U_78) ) | ~( leq(U_80, U_79) ) ) | leq(U_80, U_78) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_31_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_31_3, plain,
% 0.79/1.03 ( ~leq(U_79, U_78) | ~leq(U_80, U_79) | leq(U_80, U_78) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_31_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_32_1, plain,
% 0.79/1.03 ! [ Vd281,Vd282,Vd283 ] : ( ( ( ~( less(Vd282, Vd283) ) | ~( leq(Vd281, Vd282) ) ) & ( ~( leq(Vd282, Vd283) ) | ~( less(Vd281, Vd282) ) ) ) | less(Vd281, Vd283) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(177), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_32_2, plain,
% 0.79/1.03 ! [ U_83,U_82,U_81 ] : ( ( ( ~( less(U_82, U_81) ) | ~( leq(U_83, U_82) ) ) & ( ~( leq(U_82, U_81) ) | ~( less(U_83, U_82) ) ) ) | less(U_83, U_81) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_32_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_32_3, plain,
% 0.79/1.03 ( less(U_83, U_81) | ~less(U_82, U_81) | ~leq(U_83, U_82) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_32_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_32_4, plain,
% 0.79/1.03 ( less(U_83, U_81) | ~leq(U_82, U_81) | ~less(U_83, U_82) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_32_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_33_1, plain,
% 0.79/1.03 ! [ Vd262,Vd263,Vd265 ] : ( ( ~( less(Vd263, Vd265) ) | ~( less(Vd262, Vd263) ) ) | less(Vd262, Vd265) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(168, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_33_2, plain,
% 0.79/1.03 ! [ U_86,U_85,U_84 ] : ( ( ~( less(U_85, U_84) ) | ~( less(U_86, U_85) ) ) | less(U_86, U_84) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_33_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_33_3, plain,
% 0.79/1.03 ( ~less(U_85, U_84) | ~less(U_86, U_85) | less(U_86, U_84) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_33_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_34_1, plain,
% 0.79/1.03 ! [ Vd258,Vd259 ] : ( ~( leq(Vd258, Vd259) ) | geq(Vd259, Vd258) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(163, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_34_2, plain,
% 0.79/1.03 ! [ U_88,U_87 ] : ( ~( leq(U_88, U_87) ) | geq(U_87, U_88) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_34_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_34_3, plain,
% 0.79/1.03 ( ~leq(U_88, U_87) | geq(U_87, U_88) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_34_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_35_1, plain,
% 0.79/1.03 ! [ Vd254,Vd255 ] : ( ~( geq(Vd254, Vd255) ) | leq(Vd255, Vd254) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(158, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_35_2, plain,
% 0.79/1.03 ! [ U_90,U_89 ] : ( ~( geq(U_90, U_89) ) | leq(U_89, U_90) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_35_3, plain,
% 0.79/1.03 ( ~geq(U_90, U_89) | leq(U_89, U_90) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_35_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_36_1, plain,
% 0.79/1.03 ! [ Vd249,Vd250 ] : ( ( ~( leq(Vd250, Vd249) ) | ( less(Vd250, Vd249) | Vd250 = Vd249 ) ) & ( ( ~( less(Vd250, Vd249) ) & ~( Vd250 = Vd249 ) ) | leq(Vd250, Vd249) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 17), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_36_2, plain,
% 0.79/1.03 ! [ U_92,U_91 ] : ( ( ~( leq(U_91, U_92) ) | ( less(U_91, U_92) | U_91 = U_92 ) ) & ( ( ~( less(U_91, U_92) ) & ~( U_91 = U_92 ) ) | leq(U_91, U_92) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_36_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_36_3, plain,
% 0.79/1.03 ( ! [ U_95,U_93 ] : ( ~( leq(U_93, U_95) ) | ( less(U_93, U_95) | U_93 = U_95 ) ) & ! [ U_96,U_94 ] : ( ( ~( less(U_94, U_96) ) & ~( U_94 = U_96 ) ) | leq(U_94, U_96) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_36_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_36_4, plain,
% 0.79/1.03 ( ~leq(U_93, U_95) | less(U_93, U_95) | U_93 = U_95 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_36_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_36_5, plain,
% 0.79/1.03 ( leq(U_94, U_96) | ~less(U_94, U_96) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_36_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_36_6, plain,
% 0.79/1.03 ( leq(U_94, U_96) | U_94 != U_96 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_36_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_37_1, plain,
% 0.79/1.03 ! [ Vd244,Vd245 ] : ( ( ~( geq(Vd245, Vd244) ) | ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ) & ( ( ~( greater(Vd245, Vd244) ) & ~( Vd245 = Vd244 ) ) | geq(Vd245, Vd244) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 16), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_37_2, plain,
% 0.79/1.03 ! [ U_98,U_97 ] : ( ( ~( geq(U_97, U_98) ) | ( greater(U_97, U_98) | U_97 = U_98 ) ) & ( ( ~( greater(U_97, U_98) ) & ~( U_97 = U_98 ) ) | geq(U_97, U_98) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_37_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_37_3, plain,
% 0.79/1.03 ( ! [ U_101,U_99 ] : ( ~( geq(U_99, U_101) ) | ( greater(U_99, U_101) | U_99 = U_101 ) ) & ! [ U_102,U_100 ] : ( ( ~( greater(U_100, U_102) ) & ~( U_100 = U_102 ) ) | geq(U_100, U_102) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_37_2]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_37_4, plain,
% 0.79/1.03 ( ~geq(U_99, U_101) | greater(U_99, U_101) | U_99 = U_101 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_37_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_37_5, plain,
% 0.79/1.03 ( geq(U_100, U_102) | ~greater(U_100, U_102) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_37_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_37_6, plain,
% 0.79/1.03 ( geq(U_100, U_102) | U_100 != U_102 ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_37_3]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_38_1, plain,
% 0.79/1.03 ! [ Vd226,Vd227 ] : ( ~( less(Vd226, Vd227) ) | greater(Vd227, Vd226) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(147, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_38_2, plain,
% 0.79/1.03 ! [ U_104,U_103 ] : ( ~( less(U_104, U_103) ) | greater(U_103, U_104) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_38_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_38_3, plain,
% 0.79/1.03 ( ~less(U_104, U_103) | greater(U_103, U_104) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_38_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_39_1, plain,
% 0.79/1.03 ! [ Vd208,Vd209 ] : ( ~( greater(Vd208, Vd209) ) | less(Vd209, Vd208) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(140, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_39_2, plain,
% 0.79/1.03 ! [ U_106,U_105 ] : ( ~( greater(U_106, U_105) ) | less(U_105, U_106) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_39_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_39_3, plain,
% 0.79/1.03 ( ~greater(U_106, U_105) | less(U_105, U_106) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_39_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_40_1, plain,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_40_2, plain,
% 0.79/1.03 ! [ U_108,U_107 ] : ( U_108 = U_107 | greater(U_108, U_107) | less(U_108, U_107) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_40_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_40_3, plain,
% 0.79/1.03 ( U_108 = U_107 | greater(U_108, U_107) | less(U_108, U_107) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_40_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_41_1, plain,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_41_2, plain,
% 0.79/1.03 ! [ U_110,U_109 ] : ( ~( U_110 = U_109 ) | ~( less(U_110, U_109) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_41_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_41_3, plain,
% 0.79/1.03 ( U_110 != U_109 | ~less(U_110, U_109) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_41_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_42_1, plain,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_42_2, plain,
% 0.79/1.03 ! [ U_112,U_111 ] : ( ~( greater(U_112, U_111) ) | ~( less(U_112, U_111) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_42_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_42_3, plain,
% 0.79/1.03 ( ~greater(U_112, U_111) | ~less(U_112, U_111) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_42_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_43_1, plain,
% 0.79/1.03 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_43_2, plain,
% 0.79/1.03 ! [ U_114,U_113 ] : ( ~( U_114 = U_113 ) | ~( greater(U_114, U_113) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_43_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_43_3, plain,
% 0.79/1.03 ( U_114 != U_113 | ~greater(U_114, U_113) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_43_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_44_1, plain,
% 0.79/1.03 ! [ Vd198,Vd199 ] : ( ( ~( less(Vd199, Vd198) ) | ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ) & ( ! [ Vd201 ] : ~( Vd198 = vplus(Vd199, Vd201) ) | less(Vd199, Vd198) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 12), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_44_2, plain,
% 0.79/1.03 ! [ U_118,U_117 ] : ( ( ~( less(U_117, U_118) ) | ? [ U_115 ] : U_118 = vplus(U_117, U_115) ) & ( ! [ U_116 ] : ~( U_118 = vplus(U_117, U_116) ) | less(U_117, U_118) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_44_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_44_3, plain,
% 0.79/1.03 ( ! [ U_121,U_119 ] : ( ~( less(U_119, U_121) ) | ? [ U_115 ] : U_121 = vplus(U_119, U_115) ) & ! [ U_122,U_120 ] : ( ! [ U_116 ] : ~( U_122 = vplus(U_120, U_116) ) | less(U_120, U_122) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_44_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_44_4, plain,
% 0.79/1.03 ( ! [ U_121,U_119 ] : ( ~( less(U_119, U_121) ) | U_121 = vplus(U_119, sK1(U_121, U_119)) ) & ! [ U_122,U_120 ] : ( ! [ U_116 ] : ~( U_122 = vplus(U_120, U_116) ) | less(U_120, U_122) ) ),
% 0.79/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_115,sK1(U_121, U_119))],[f_44_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_44_5, plain,
% 0.79/1.03 ( ~less(U_119, U_121) | U_121 = vplus(U_119, sK1(U_121, U_119)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_44_4]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_44_6, plain,
% 0.79/1.03 ( U_122 != vplus(U_120, U_116) | less(U_120, U_122) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_44_4]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_45_1, plain,
% 0.79/1.03 ! [ Vd193,Vd194 ] : ( ( ~( greater(Vd194, Vd193) ) | ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ) & ( ! [ Vd196 ] : ~( Vd194 = vplus(Vd193, Vd196) ) | greater(Vd194, Vd193) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 11), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_45_2, plain,
% 0.79/1.03 ! [ U_126,U_125 ] : ( ( ~( greater(U_125, U_126) ) | ? [ U_123 ] : U_125 = vplus(U_126, U_123) ) & ( ! [ U_124 ] : ~( U_125 = vplus(U_126, U_124) ) | greater(U_125, U_126) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_45_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_45_3, plain,
% 0.79/1.03 ( ! [ U_129,U_127 ] : ( ~( greater(U_127, U_129) ) | ? [ U_123 ] : U_127 = vplus(U_129, U_123) ) & ! [ U_130,U_128 ] : ( ! [ U_124 ] : ~( U_128 = vplus(U_130, U_124) ) | greater(U_128, U_130) ) ),
% 0.79/1.03 inference(miniscope,[status(thm)],[f_45_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_45_4, plain,
% 0.79/1.03 ( ! [ U_129,U_127 ] : ( ~( greater(U_127, U_129) ) | U_127 = vplus(U_129, sK2(U_129, U_127)) ) & ! [ U_130,U_128 ] : ( ! [ U_124 ] : ~( U_128 = vplus(U_130, U_124) ) | greater(U_128, U_130) ) ),
% 0.79/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_123,sK2(U_129, U_127))],[f_45_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_45_5, plain,
% 0.79/1.03 ( ~greater(U_127, U_129) | U_127 = vplus(U_129, sK2(U_129, U_127)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_45_4]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_45_6, plain,
% 0.79/1.03 ( U_128 != vplus(U_130, U_124) | greater(U_128, U_130) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_45_4]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_46_1, plain,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_46_2, plain,
% 0.79/1.03 ! [ U_134,U_133 ] : ( U_134 = U_133 | ? [ U_131 ] : U_134 = vplus(U_133, U_131) | ? [ U_132 ] : U_133 = vplus(U_134, U_132) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_46_1]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_46_3, plain,
% 0.79/1.03 ! [ U_134,U_133 ] : ( U_134 = U_133 | U_134 = vplus(U_133, sK3(U_134, U_133)) | ? [ U_132 ] : U_133 = vplus(U_134, U_132) ),
% 0.79/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_131,sK3(U_134, U_133))],[f_46_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_46_4, plain,
% 0.79/1.03 ! [ U_134,U_133 ] : ( U_134 = U_133 | U_134 = vplus(U_133, sK3(U_134, U_133)) | U_133 = vplus(U_134, sK4(U_134, U_133)) ),
% 0.79/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_132,sK4(U_134, U_133))],[f_46_3]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_46_5, plain,
% 0.79/1.03 ( U_134 = U_133 | U_134 = vplus(U_133, sK3(U_134, U_133)) | U_133 = vplus(U_134, sK4(U_134, U_133)) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_46_4]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_47_1, plain,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 1)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_47_2, plain,
% 0.79/1.03 ! [ U_137,U_136 ] : ( ~( U_137 = U_136 ) | ! [ U_135 ] : ~( U_136 = vplus(U_137, U_135) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_47_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_47_3, plain,
% 0.79/1.03 ( U_137 != U_136 | U_136 != vplus(U_137, U_135) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_47_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_48_1, plain,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 2)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_48_2, plain,
% 0.79/1.03 ! [ U_141,U_140 ] : ( ! [ U_138 ] : ~( U_141 = vplus(U_140, U_138) ) | ! [ U_139 ] : ~( U_140 = vplus(U_141, U_139) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_48_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_48_3, plain,
% 0.79/1.03 ( U_141 != vplus(U_140, U_138) | U_140 != vplus(U_141, U_139) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_48_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_49_1, plain,
% 0.79/1.03 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 3)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_49_2, plain,
% 0.79/1.03 ! [ U_144,U_143 ] : ( ~( U_144 = U_143 ) | ! [ U_142 ] : ~( U_144 = vplus(U_143, U_142) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_49_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_49_3, plain,
% 0.79/1.03 ( U_144 != U_143 | U_144 != vplus(U_143, U_142) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_49_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_50_1, plain,
% 0.79/1.03 ! [ Vd104,Vd105 ] : ( Vd104 = Vd105 | ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(81, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_50_2, plain,
% 0.79/1.03 ! [ U_147,U_146 ] : ( U_147 = U_146 | ! [ U_145 ] : ~( vplus(U_145, U_147) = vplus(U_145, U_146) ) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_50_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_50_3, plain,
% 0.79/1.03 ( U_147 = U_146 | vplus(U_145, U_147) != vplus(U_145, U_146) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_50_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_51_1, plain,
% 0.79/1.03 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(73, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_51_2, plain,
% 0.79/1.03 ! [ U_149,U_148 ] : ~( U_148 = vplus(U_149, U_148) ),
% 0.79/1.03 inference(variable_rename,[status(thm)],[f_51_1]) ).
% 0.79/1.03
% 0.79/1.03 cnf(f_51_3, plain,
% 0.79/1.03 ( U_148 != vplus(U_149, U_148) ),
% 0.79/1.03 inference(clausify,[status(thm)],[f_51_2]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_52_1, plain,
% 0.79/1.03 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 0.79/1.03 inference(fof_nnf,[status(thm)],[ass(cond(61, 0), 0)]) ).
% 0.79/1.03
% 0.79/1.03 fof(f_52_2, plain,
% 0.79/1.03 ! [ U_151,U_150 ] : vplus(U_150, U_151) = vplus(U_151, U_150),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_52_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_52_3, plain,
% 0.79/1.04 ( vplus(U_150, U_151) = vplus(U_151, U_150) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_52_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_53_1, plain,
% 0.79/1.04 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(52, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_53_2, plain,
% 0.79/1.04 ! [ U_153,U_152 ] : vplus(vsucc(U_153), U_152) = vsucc(vplus(U_153, U_152)),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_53_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_53_3, plain,
% 0.79/1.04 ( vplus(vsucc(U_153), U_152) = vsucc(vplus(U_153, U_152)) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_53_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_54_1, plain,
% 0.79/1.04 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(43, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_54_2, plain,
% 0.79/1.04 ! [ U_154 ] : vplus(v1, U_154) = vsucc(U_154),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_54_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_54_3, plain,
% 0.79/1.04 ( vplus(v1, U_154) = vsucc(U_154) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_54_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_55_1, plain,
% 0.79/1.04 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(33, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_55_2, plain,
% 0.79/1.04 ! [ U_157,U_156,U_155 ] : vplus(vplus(U_157, U_156), U_155) = vplus(U_157, vplus(U_156, U_155)),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_55_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_55_3, plain,
% 0.79/1.04 ( vplus(vplus(U_157, U_156), U_155) = vplus(U_157, vplus(U_156, U_155)) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_55_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_56_1, plain,
% 0.79/1.04 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_56_2, plain,
% 0.79/1.04 ! [ U_159,U_158 ] : ( vplus(U_159, vsucc(U_158)) = vsucc(vplus(U_159, U_158)) & vplus(U_159, v1) = vsucc(U_159) ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_56_1]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_56_3, plain,
% 0.79/1.04 ( ! [ U_160 ] : vplus(U_160, v1) = vsucc(U_160) & ! [ U_161,U_158 ] : vplus(U_161, vsucc(U_158)) = vsucc(vplus(U_161, U_158)) ),
% 0.79/1.04 inference(miniscope,[status(thm)],[f_56_2]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_56_4, plain,
% 0.79/1.04 ( vplus(U_160, v1) = vsucc(U_160) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_56_3]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_56_5, plain,
% 0.79/1.04 ( vplus(U_161, vsucc(U_158)) = vsucc(vplus(U_161, U_158)) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_56_3]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_57_1, plain,
% 0.79/1.04 ! [ Vd24 ] : ( Vd24 = v1 | Vd24 = vsucc(vskolem2(Vd24)) ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(20, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_57_2, plain,
% 0.79/1.04 ! [ U_162 ] : ( U_162 = v1 | U_162 = vsucc(vskolem2(U_162)) ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_57_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_57_3, plain,
% 0.79/1.04 ( U_162 = v1 | U_162 = vsucc(vskolem2(U_162)) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_57_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_58_1, plain,
% 0.79/1.04 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(12, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_58_2, plain,
% 0.79/1.04 ! [ U_163 ] : ~( vsucc(U_163) = U_163 ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_58_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_58_3, plain,
% 0.79/1.04 ( vsucc(U_163) != U_163 ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_58_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_59_1, plain,
% 0.79/1.04 ! [ Vd7,Vd8 ] : ( Vd7 = Vd8 | ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[ass(cond(6, 0), 0)]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_59_2, plain,
% 0.79/1.04 ! [ U_165,U_164 ] : ( U_165 = U_164 | ~( vsucc(U_165) = vsucc(U_164) ) ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_59_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_59_3, plain,
% 0.79/1.04 ( U_165 = U_164 | vsucc(U_165) != vsucc(U_164) ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_59_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_60_1, plain,
% 0.79/1.04 ! [ Vd3,Vd4 ] : ( ~( vsucc(Vd3) = vsucc(Vd4) ) | Vd3 = Vd4 ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[qu(antec(axiom(3)), imp(antec(axiom(3))))]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_60_2, plain,
% 0.79/1.04 ! [ U_167,U_166 ] : ( ~( vsucc(U_167) = vsucc(U_166) ) | U_167 = U_166 ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_60_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_60_3, plain,
% 0.79/1.04 ( vsucc(U_167) != vsucc(U_166) | U_167 = U_166 ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_60_2]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_61_1, plain,
% 0.79/1.04 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 0.79/1.04 inference(fof_nnf,[status(thm)],[qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))]) ).
% 0.79/1.04
% 0.79/1.04 fof(f_61_2, plain,
% 0.79/1.04 ! [ U_168 ] : ~( vsucc(U_168) = v1 ),
% 0.79/1.04 inference(variable_rename,[status(thm)],[f_61_1]) ).
% 0.79/1.04
% 0.79/1.04 cnf(f_61_3, plain,
% 0.79/1.04 ( vsucc(U_168) != v1 ),
% 0.79/1.04 inference(clausify,[status(thm)],[f_61_2]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_1, axiom,
% 0.79/1.04 ( Eq_x_0 = Eq_x_0 ),
% 0.79/1.04 theory(equality,[reflexivity]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_2, axiom,
% 0.79/1.04 ( Eq_x_0 != Eq_x_1 | Eq_x_1 = Eq_x_0 ),
% 0.79/1.04 theory(equality,[symmetry]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_3, axiom,
% 0.79/1.04 ( Eq_x_0 != Eq_x_1 | Eq_x_1 != Eq_x_2 | Eq_x_0 = Eq_x_2 ),
% 0.79/1.04 theory(equality,[transitivity]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_4, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_5, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_6, axiom,
% 0.79/1.04 ( Eq_x_0 != Eq_y_0 | vsucc(Eq_x_0) = vsucc(Eq_y_0) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_7, axiom,
% 0.79/1.04 ( Eq_x_0 != Eq_y_0 | vskolem2(Eq_x_0) = vskolem2(Eq_y_0) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_8, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_9, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_10, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_11, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_functions]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_12, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_predicates]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_13, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_predicates]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_14, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_predicates]) ).
% 0.79/1.04
% 0.79/1.04 cnf(equality_15, axiom,
% 0.79/1.04 ( 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) ),
% 0.79/1.04 theory(equality,[substitution_predicates]) ).
% 0.79/1.04
% 0.79/1.04 cnf(sat_proved, plain, $false,
% 0.79/1.04 inference(cadical, [status(thm)], [
% 0.79/1.05 ]) ).
% 0.79/1.05 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------