TSTP Solution File: NUM854+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:56:07 EDT 2022
% Result : Theorem 87.85s 88.10s
% Output : CNFRefutation 87.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 276 ( 169 unt; 14 typ; 0 def)
% Number of atoms : 1171 ( 591 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1794 ( 236 ~; 237 |; 8 &;1293 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 643 ( 0 ^ 627 !; 16 ?; 643 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_Vd123,type,
sK1_Vd123: $i > $i > $i ).
thf(tp_sK2_Vd125,type,
sK2_Vd125: $i > $i > $i ).
thf(tp_sK3_Vd196,type,
sK3_Vd196: $i > $i > $i ).
thf(tp_sK4_Vd201,type,
sK4_Vd201: $i > $i > $i ).
thf(tp_v1,type,
v1: $i ).
thf(tp_vd508,type,
vd508: $i ).
thf(tp_vd509,type,
vd509: $i ).
thf(tp_vd511,type,
vd511: $i ).
thf(tp_vd512,type,
vd512: $i ).
thf(tp_vmul,type,
vmul: $i > $i > $i ).
thf(tp_vplus,type,
vplus: $i > $i > $i ).
thf(tp_vsucc,type,
vsucc: $i > $i ).
thf(1,axiom,
! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ~ ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
thf(2,axiom,
! [Vd120: $i,Vd121: $i] :
( ~ ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) )
| ~ ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
thf(3,axiom,
! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ~ ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
thf(4,axiom,
! [Vd120: $i,Vd121: $i] :
( ( Vd120 = Vd121 )
| ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) )
| ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
thf(5,axiom,
! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
thf(6,axiom,
! [Vd198: $i,Vd199: $i] :
( ( less @ Vd199 @ Vd198 )
<=> ? [Vd201: $i] :
( Vd198
= ( vplus @ Vd199 @ Vd201 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
thf(7,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
thf(8,axiom,
! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
thf(9,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
thf(10,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
thf(11,axiom,
! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
thf(12,axiom,
! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
thf(13,axiom,
! [Vd396: $i,Vd397: $i] :
( ( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) )
& ( ( vmul @ Vd396 @ v1 )
= Vd396 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
thf(14,axiom,
! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
thf(15,axiom,
! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
thf(16,axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
thf(17,axiom,
! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
thf(18,axiom,
! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
thf(19,axiom,
! [Vd456: $i,Vd457: $i,Vd458: $i] :
( ( greater @ Vd457 @ Vd458 )
=> ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
thf(20,axiom,
! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 = Vd462 )
=> ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 1)') ).
thf(21,axiom,
! [Vd456: $i,Vd465: $i,Vd466: $i] :
( ( less @ Vd465 @ Vd466 )
=> ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
thf(22,axiom,
! [Vd486: $i,Vd487: $i,Vd488: $i] :
( ( greater @ ( vmul @ Vd486 @ Vd487 ) @ ( vmul @ Vd488 @ Vd487 ) )
=> ( greater @ Vd486 @ Vd488 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).
thf(23,axiom,
! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
= ( vmul @ Vd493 @ Vd492 ) )
=> ( Vd491 = Vd493 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)') ).
thf(24,axiom,
! [Vd496: $i,Vd497: $i,Vd498: $i] :
( ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
=> ( less @ Vd496 @ Vd498 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).
thf(25,axiom,
greater @ vd508 @ vd509,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
thf(26,axiom,
greater @ vd511 @ vd512,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(314), 513, 0)') ).
thf(27,conjecture,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
thf(28,negated_conjecture,
( ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[27]) ).
thf(29,plain,
( ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) )
= $false ),
inference(unfold_def,[status(thm)],[28]) ).
thf(30,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ~ ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(31,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ~ ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) )
| ~ ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(32,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ~ ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(33,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 = Vd121 )
| ? [Vd123: $i] :
( Vd120
= ( vplus @ Vd121 @ Vd123 ) )
| ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(34,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(35,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ( less @ Vd199 @ Vd198 )
<=> ? [Vd201: $i] :
( Vd198
= ( vplus @ Vd199 @ Vd201 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(36,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(37,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(38,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(39,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(40,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(41,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(42,plain,
( ( ! [Vd396: $i,Vd397: $i] :
( ( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) )
& ( ( vmul @ Vd396 @ v1 )
= Vd396 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(43,plain,
( ( ! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(44,plain,
( ( ! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(45,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(46,plain,
( ( ! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(47,plain,
( ( ! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(48,plain,
( ( ! [Vd456: $i,Vd457: $i,Vd458: $i] :
( ( greater @ Vd457 @ Vd458 )
=> ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(49,plain,
( ( ! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 = Vd462 )
=> ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(50,plain,
( ( ! [Vd456: $i,Vd465: $i,Vd466: $i] :
( ( less @ Vd465 @ Vd466 )
=> ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(51,plain,
( ( ! [Vd486: $i,Vd487: $i,Vd488: $i] :
( ( greater @ ( vmul @ Vd486 @ Vd487 ) @ ( vmul @ Vd488 @ Vd487 ) )
=> ( greater @ Vd486 @ Vd488 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(52,plain,
( ( ! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
= ( vmul @ Vd493 @ Vd492 ) )
=> ( Vd491 = Vd493 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(53,plain,
( ( ! [Vd496: $i,Vd497: $i,Vd498: $i] :
( ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
=> ( less @ Vd496 @ Vd498 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(54,plain,
( ( greater @ vd508 @ vd509 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(55,plain,
( ( greater @ vd511 @ vd512 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(56,plain,
( ( ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(57,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ! [Vd123: $i] :
( Vd120
!= ( vplus @ Vd121 @ Vd123 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(58,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ! [Vd123: $i] :
( Vd120
!= ( vplus @ Vd121 @ Vd123 ) )
| ! [Vd125: $i] :
( Vd121
!= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(59,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ! [Vd125: $i] :
( Vd121
!= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(60,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd121
= ( vplus @ Vd120 @ ( sK2_Vd125 @ Vd121 @ Vd120 ) ) )
| ( Vd120 = Vd121 )
| ( Vd120
= ( vplus @ Vd121 @ ( sK1_Vd123 @ Vd121 @ Vd120 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(61,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ! [Vd196: $i] :
( Vd194
!= ( vplus @ Vd193 @ Vd196 ) )
| ( greater @ Vd194 @ Vd193 ) )
& ! [Vd193: $i,Vd194: $i] :
( ~ ( greater @ Vd194 @ Vd193 )
| ( Vd194
= ( vplus @ Vd193 @ ( sK3_Vd196 @ Vd194 @ Vd193 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(62,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ! [Vd201: $i] :
( Vd198
!= ( vplus @ Vd199 @ Vd201 ) )
| ( less @ Vd199 @ Vd198 ) )
& ! [Vd198: $i,Vd199: $i] :
( ~ ( less @ Vd199 @ Vd198 )
| ( Vd198
= ( vplus @ Vd199 @ ( sK4_Vd201 @ Vd199 @ Vd198 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(63,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(64,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(65,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(66,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ~ ( greater @ Vd208 @ Vd209 )
| ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(67,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ~ ( less @ Vd226 @ Vd227 )
| ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(68,plain,
( ( ! [Vd396: $i,Vd397: $i] :
( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) )
& ! [Vd396: $i] :
( ( vmul @ Vd396 @ v1 )
= Vd396 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(69,plain,
( ( ! [Vd456: $i,Vd457: $i,Vd458: $i] :
( ~ ( greater @ Vd457 @ Vd458 )
| ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(70,plain,
( ( ! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 != Vd462 )
| ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(71,plain,
( ( ! [Vd456: $i,Vd465: $i,Vd466: $i] :
( ~ ( less @ Vd465 @ Vd466 )
| ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(72,plain,
( ( ! [Vd486: $i,Vd487: $i,Vd488: $i] :
( ~ ( greater @ ( vmul @ Vd486 @ Vd487 ) @ ( vmul @ Vd488 @ Vd487 ) )
| ( greater @ Vd486 @ Vd488 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(73,plain,
( ( ! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
!= ( vmul @ Vd493 @ Vd492 ) )
| ( Vd491 = Vd493 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(74,plain,
( ( ! [Vd496: $i,Vd497: $i,Vd498: $i] :
( ~ ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
| ( less @ Vd496 @ Vd498 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(75,plain,
( ( greater @ vd511 @ vd512 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(76,plain,
( ( greater @ vd508 @ vd509 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(77,plain,
( ( ! [Vd496: $i,Vd497: $i,Vd498: $i] :
( ~ ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
| ( less @ Vd496 @ Vd498 ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(78,plain,
( ( ! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
!= ( vmul @ Vd493 @ Vd492 ) )
| ( Vd491 = Vd493 ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(79,plain,
( ( ! [Vd486: $i,Vd487: $i,Vd488: $i] :
( ~ ( greater @ ( vmul @ Vd486 @ Vd487 ) @ ( vmul @ Vd488 @ Vd487 ) )
| ( greater @ Vd486 @ Vd488 ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(80,plain,
( ( ! [Vd456: $i,Vd465: $i,Vd466: $i] :
( ~ ( less @ Vd465 @ Vd466 )
| ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(81,plain,
( ( ! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 != Vd462 )
| ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(82,plain,
( ( ! [Vd456: $i,Vd457: $i,Vd458: $i] :
( ~ ( greater @ Vd457 @ Vd458 )
| ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(83,plain,
( ( ! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(84,plain,
( ( ! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(85,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(86,plain,
( ( ! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(87,plain,
( ( ! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(88,plain,
( ( ! [Vd396: $i,Vd397: $i] :
( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) )
& ! [Vd396: $i] :
( ( vmul @ Vd396 @ v1 )
= Vd396 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(89,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ~ ( less @ Vd226 @ Vd227 )
| ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(90,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ~ ( greater @ Vd208 @ Vd209 )
| ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(91,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(92,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(93,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(94,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(95,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ! [Vd201: $i] :
( Vd198
!= ( vplus @ Vd199 @ Vd201 ) )
| ( less @ Vd199 @ Vd198 ) )
& ! [Vd198: $i,Vd199: $i] :
( ~ ( less @ Vd199 @ Vd198 )
| ( Vd198
= ( vplus @ Vd199 @ ( sK4_Vd201 @ Vd199 @ Vd198 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(96,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ! [Vd196: $i] :
( Vd194
!= ( vplus @ Vd193 @ Vd196 ) )
| ( greater @ Vd194 @ Vd193 ) )
& ! [Vd193: $i,Vd194: $i] :
( ~ ( greater @ Vd194 @ Vd193 )
| ( Vd194
= ( vplus @ Vd193 @ ( sK3_Vd196 @ Vd194 @ Vd193 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(97,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd121
= ( vplus @ Vd120 @ ( sK2_Vd125 @ Vd121 @ Vd120 ) ) )
| ( Vd120 = Vd121 )
| ( Vd120
= ( vplus @ Vd121 @ ( sK1_Vd123 @ Vd121 @ Vd120 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(98,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ! [Vd125: $i] :
( Vd121
!= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(99,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ! [Vd123: $i] :
( Vd120
!= ( vplus @ Vd121 @ Vd123 ) )
| ! [Vd125: $i] :
( Vd121
!= ( vplus @ Vd120 @ Vd125 ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(100,plain,
( ( ! [Vd120: $i,Vd121: $i] :
( ( Vd120 != Vd121 )
| ! [Vd123: $i] :
( Vd120
!= ( vplus @ Vd121 @ Vd123 ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(101,plain,
( ( ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(102,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( vmul @ SX0 @ ( vsucc @ SX1 ) )
= ( vplus @ ( vmul @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ( vmul @ SX0 @ v1 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(103,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK4_Vd201 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(104,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK3_Vd196 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(105,plain,
! [SV1: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ( less @ ( vmul @ SV1 @ SY63 ) @ ( vmul @ SY64 @ SY63 ) )
| ( less @ SV1 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(106,plain,
! [SV2: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ( ( vmul @ SV2 @ SY65 )
!= ( vmul @ SY66 @ SY65 ) )
| ( SV2 = SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(107,plain,
! [SV3: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ( greater @ ( vmul @ SV3 @ SY67 ) @ ( vmul @ SY68 @ SY67 ) )
| ( greater @ SV3 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(108,plain,
! [SV4: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ( less @ SY69 @ SY70 )
| ( less @ ( vmul @ SY69 @ SV4 ) @ ( vmul @ SY70 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(109,plain,
! [SV5: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ( SY71 != SY72 )
| ( ( vmul @ SY71 @ SV5 )
= ( vmul @ SY72 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(110,plain,
! [SV6: $i] :
( ( ! [SY73: $i,SY74: $i] :
( ~ ( greater @ SY73 @ SY74 )
| ( greater @ ( vmul @ SY73 @ SV6 ) @ ( vmul @ SY74 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(111,plain,
! [SV7: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ( vmul @ ( vmul @ SV7 @ SY75 ) @ SY76 )
= ( vmul @ SV7 @ ( vmul @ SY75 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(112,plain,
! [SV8: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ( vmul @ SV8 @ ( vplus @ SY77 @ SY78 ) )
= ( vplus @ ( vmul @ SV8 @ SY77 ) @ ( vmul @ SV8 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(113,plain,
! [SV9: $i] :
( ( ! [SY79: $i] :
( ( vmul @ SV9 @ SY79 )
= ( vmul @ SY79 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(114,plain,
! [SV10: $i] :
( ( ! [SY80: $i] :
( ( vmul @ ( vsucc @ SV10 ) @ SY80 )
= ( vplus @ ( vmul @ SV10 @ SY80 ) @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(115,plain,
! [SV11: $i] :
( ( ( vmul @ v1 @ SV11 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(116,plain,
! [SV12: $i] :
( ( ! [SY81: $i] :
( ~ ( less @ SV12 @ SY81 )
| ( greater @ SY81 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(117,plain,
! [SV13: $i] :
( ( ! [SY82: $i] :
( ~ ( greater @ SV13 @ SY82 )
| ( less @ SY82 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(118,plain,
! [SV14: $i] :
( ( ! [SY83: $i] :
( ( less @ SV14 @ SY83 )
| ( SV14 = SY83 )
| ( greater @ SV14 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(119,plain,
! [SV15: $i] :
( ( ! [SY84: $i] :
( ( SV15 != SY84 )
| ~ ( less @ SV15 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(120,plain,
! [SV16: $i] :
( ( ! [SY85: $i] :
( ~ ( greater @ SV16 @ SY85 )
| ~ ( less @ SV16 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(121,plain,
! [SV17: $i] :
( ( ! [SY86: $i] :
( ( SV17 != SY86 )
| ~ ( greater @ SV17 @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(122,plain,
! [SV18: $i] :
( ( ! [SY87: $i] :
( ( SY87
= ( vplus @ SV18 @ ( sK2_Vd125 @ SY87 @ SV18 ) ) )
| ( SV18 = SY87 )
| ( SV18
= ( vplus @ SY87 @ ( sK1_Vd123 @ SY87 @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(123,plain,
! [SV19: $i] :
( ( ! [SY88: $i] :
( ( SV19 != SY88 )
| ! [SY89: $i] :
( SY88
!= ( vplus @ SV19 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(124,plain,
! [SV20: $i] :
( ( ! [SY90: $i] :
( ! [SY91: $i] :
( SV20
!= ( vplus @ SY90 @ SY91 ) )
| ! [SY92: $i] :
( SY90
!= ( vplus @ SV20 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(125,plain,
! [SV21: $i] :
( ( ! [SY93: $i] :
( ( SV21 != SY93 )
| ! [SY94: $i] :
( SV21
!= ( vplus @ SY93 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(126,plain,
( ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(127,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( vmul @ SX0 @ ( vsucc @ SX1 ) )
= ( vplus @ ( vmul @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ( vmul @ SX0 @ v1 )
= SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(128,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK4_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(129,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK3_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(130,plain,
! [SV22: $i,SV1: $i] :
( ( ! [SY95: $i] :
( ~ ( less @ ( vmul @ SV1 @ SV22 ) @ ( vmul @ SY95 @ SV22 ) )
| ( less @ SV1 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(131,plain,
! [SV23: $i,SV2: $i] :
( ( ! [SY96: $i] :
( ( ( vmul @ SV2 @ SV23 )
!= ( vmul @ SY96 @ SV23 ) )
| ( SV2 = SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(132,plain,
! [SV24: $i,SV3: $i] :
( ( ! [SY97: $i] :
( ~ ( greater @ ( vmul @ SV3 @ SV24 ) @ ( vmul @ SY97 @ SV24 ) )
| ( greater @ SV3 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(133,plain,
! [SV4: $i,SV25: $i] :
( ( ! [SY98: $i] :
( ~ ( less @ SV25 @ SY98 )
| ( less @ ( vmul @ SV25 @ SV4 ) @ ( vmul @ SY98 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(134,plain,
! [SV5: $i,SV26: $i] :
( ( ! [SY99: $i] :
( ( SV26 != SY99 )
| ( ( vmul @ SV26 @ SV5 )
= ( vmul @ SY99 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(135,plain,
! [SV6: $i,SV27: $i] :
( ( ! [SY100: $i] :
( ~ ( greater @ SV27 @ SY100 )
| ( greater @ ( vmul @ SV27 @ SV6 ) @ ( vmul @ SY100 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(136,plain,
! [SV28: $i,SV7: $i] :
( ( ! [SY101: $i] :
( ( vmul @ ( vmul @ SV7 @ SV28 ) @ SY101 )
= ( vmul @ SV7 @ ( vmul @ SV28 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(137,plain,
! [SV29: $i,SV8: $i] :
( ( ! [SY102: $i] :
( ( vmul @ SV8 @ ( vplus @ SV29 @ SY102 ) )
= ( vplus @ ( vmul @ SV8 @ SV29 ) @ ( vmul @ SV8 @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(138,plain,
! [SV30: $i,SV9: $i] :
( ( ( vmul @ SV9 @ SV30 )
= ( vmul @ SV30 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(139,plain,
! [SV31: $i,SV10: $i] :
( ( ( vmul @ ( vsucc @ SV10 ) @ SV31 )
= ( vplus @ ( vmul @ SV10 @ SV31 ) @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(140,plain,
! [SV32: $i,SV12: $i] :
( ( ~ ( less @ SV12 @ SV32 )
| ( greater @ SV32 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(141,plain,
! [SV33: $i,SV13: $i] :
( ( ~ ( greater @ SV13 @ SV33 )
| ( less @ SV33 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV34: $i,SV14: $i] :
( ( ( less @ SV14 @ SV34 )
| ( SV14 = SV34 )
| ( greater @ SV14 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV35: $i,SV15: $i] :
( ( ( SV15 != SV35 )
| ~ ( less @ SV15 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV36: $i,SV16: $i] :
( ( ~ ( greater @ SV16 @ SV36 )
| ~ ( less @ SV16 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV37: $i,SV17: $i] :
( ( ( SV17 != SV37 )
| ~ ( greater @ SV17 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV18: $i,SV38: $i] :
( ( ( SV38
= ( vplus @ SV18 @ ( sK2_Vd125 @ SV38 @ SV18 ) ) )
| ( SV18 = SV38 )
| ( SV18
= ( vplus @ SV38 @ ( sK1_Vd123 @ SV38 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV39: $i,SV19: $i] :
( ( ( SV19 != SV39 )
| ! [SY103: $i] :
( SV39
!= ( vplus @ SV19 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV40: $i,SV20: $i] :
( ( ! [SY104: $i] :
( SV20
!= ( vplus @ SV40 @ SY104 ) )
| ! [SY105: $i] :
( SV40
!= ( vplus @ SV20 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV41: $i,SV21: $i] :
( ( ( SV21 != SV41 )
| ! [SY106: $i] :
( SV21
!= ( vplus @ SV41 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( vmul @ SX0 @ ( vsucc @ SX1 ) )
= ( vplus @ ( vmul @ SX0 @ SX1 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(151,plain,
( ( ~ ! [SX0: $i] :
( ( vmul @ SX0 @ v1 )
= SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(152,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(153,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK4_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(154,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(155,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK3_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(156,plain,
! [SV42: $i,SV22: $i,SV1: $i] :
( ( ~ ( less @ ( vmul @ SV1 @ SV22 ) @ ( vmul @ SV42 @ SV22 ) )
| ( less @ SV1 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(157,plain,
! [SV43: $i,SV23: $i,SV2: $i] :
( ( ( ( vmul @ SV2 @ SV23 )
!= ( vmul @ SV43 @ SV23 ) )
| ( SV2 = SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(158,plain,
! [SV44: $i,SV24: $i,SV3: $i] :
( ( ~ ( greater @ ( vmul @ SV3 @ SV24 ) @ ( vmul @ SV44 @ SV24 ) )
| ( greater @ SV3 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(159,plain,
! [SV4: $i,SV45: $i,SV25: $i] :
( ( ~ ( less @ SV25 @ SV45 )
| ( less @ ( vmul @ SV25 @ SV4 ) @ ( vmul @ SV45 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(160,plain,
! [SV5: $i,SV46: $i,SV26: $i] :
( ( ( SV26 != SV46 )
| ( ( vmul @ SV26 @ SV5 )
= ( vmul @ SV46 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(161,plain,
! [SV6: $i,SV47: $i,SV27: $i] :
( ( ~ ( greater @ SV27 @ SV47 )
| ( greater @ ( vmul @ SV27 @ SV6 ) @ ( vmul @ SV47 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(162,plain,
! [SV48: $i,SV28: $i,SV7: $i] :
( ( ( vmul @ ( vmul @ SV7 @ SV28 ) @ SV48 )
= ( vmul @ SV7 @ ( vmul @ SV28 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(163,plain,
! [SV49: $i,SV29: $i,SV8: $i] :
( ( ( vmul @ SV8 @ ( vplus @ SV29 @ SV49 ) )
= ( vplus @ ( vmul @ SV8 @ SV29 ) @ ( vmul @ SV8 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(164,plain,
! [SV32: $i,SV12: $i] :
( ( ( ~ ( less @ SV12 @ SV32 ) )
= $true )
| ( ( greater @ SV32 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(165,plain,
! [SV33: $i,SV13: $i] :
( ( ( ~ ( greater @ SV13 @ SV33 ) )
= $true )
| ( ( less @ SV33 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV34: $i,SV14: $i] :
( ( ( less @ SV14 @ SV34 )
= $true )
| ( ( ( SV14 = SV34 )
| ( greater @ SV14 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(167,plain,
! [SV35: $i,SV15: $i] :
( ( ( ( SV15 != SV35 ) )
= $true )
| ( ( ~ ( less @ SV15 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(168,plain,
! [SV36: $i,SV16: $i] :
( ( ( ~ ( greater @ SV16 @ SV36 ) )
= $true )
| ( ( ~ ( less @ SV16 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV37: $i,SV17: $i] :
( ( ( ( SV17 != SV37 ) )
= $true )
| ( ( ~ ( greater @ SV17 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(170,plain,
! [SV18: $i,SV38: $i] :
( ( ( SV38
= ( vplus @ SV18 @ ( sK2_Vd125 @ SV38 @ SV18 ) ) )
= $true )
| ( ( ( SV18 = SV38 )
| ( SV18
= ( vplus @ SV38 @ ( sK1_Vd123 @ SV38 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(171,plain,
! [SV39: $i,SV19: $i] :
( ( ( ( SV19 != SV39 ) )
= $true )
| ( ( ! [SY103: $i] :
( SV39
!= ( vplus @ SV19 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(172,plain,
! [SV40: $i,SV20: $i] :
( ( ( ! [SY104: $i] :
( SV20
!= ( vplus @ SV40 @ SY104 ) ) )
= $true )
| ( ( ! [SY105: $i] :
( SV40
!= ( vplus @ SV20 @ SY105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(173,plain,
! [SV41: $i,SV21: $i] :
( ( ( ( SV21 != SV41 ) )
= $true )
| ( ( ! [SY106: $i] :
( SV21
!= ( vplus @ SV41 @ SY106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(174,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( vmul @ SX0 @ ( vsucc @ SX1 ) )
= ( vplus @ ( vmul @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(175,plain,
( ( ! [SX0: $i] :
( ( vmul @ SX0 @ v1 )
= SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(176,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(177,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK4_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK3_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(180,plain,
! [SV42: $i,SV22: $i,SV1: $i] :
( ( ( ~ ( less @ ( vmul @ SV1 @ SV22 ) @ ( vmul @ SV42 @ SV22 ) ) )
= $true )
| ( ( less @ SV1 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(181,plain,
! [SV43: $i,SV23: $i,SV2: $i] :
( ( ( ( ( vmul @ SV2 @ SV23 )
!= ( vmul @ SV43 @ SV23 ) ) )
= $true )
| ( ( SV2 = SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(182,plain,
! [SV44: $i,SV24: $i,SV3: $i] :
( ( ( ~ ( greater @ ( vmul @ SV3 @ SV24 ) @ ( vmul @ SV44 @ SV24 ) ) )
= $true )
| ( ( greater @ SV3 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(183,plain,
! [SV4: $i,SV45: $i,SV25: $i] :
( ( ( ~ ( less @ SV25 @ SV45 ) )
= $true )
| ( ( less @ ( vmul @ SV25 @ SV4 ) @ ( vmul @ SV45 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(184,plain,
! [SV5: $i,SV46: $i,SV26: $i] :
( ( ( ( SV26 != SV46 ) )
= $true )
| ( ( ( vmul @ SV26 @ SV5 )
= ( vmul @ SV46 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(185,plain,
! [SV6: $i,SV47: $i,SV27: $i] :
( ( ( ~ ( greater @ SV27 @ SV47 ) )
= $true )
| ( ( greater @ ( vmul @ SV27 @ SV6 ) @ ( vmul @ SV47 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(186,plain,
! [SV32: $i,SV12: $i] :
( ( ( less @ SV12 @ SV32 )
= $false )
| ( ( greater @ SV32 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(187,plain,
! [SV33: $i,SV13: $i] :
( ( ( greater @ SV13 @ SV33 )
= $false )
| ( ( less @ SV33 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(188,plain,
! [SV34: $i,SV14: $i] :
( ( ( SV14 = SV34 )
= $true )
| ( ( greater @ SV14 @ SV34 )
= $true )
| ( ( less @ SV14 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(189,plain,
! [SV35: $i,SV15: $i] :
( ( ( SV15 = SV35 )
= $false )
| ( ( ~ ( less @ SV15 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(190,plain,
! [SV36: $i,SV16: $i] :
( ( ( greater @ SV16 @ SV36 )
= $false )
| ( ( ~ ( less @ SV16 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(191,plain,
! [SV37: $i,SV17: $i] :
( ( ( SV17 = SV37 )
= $false )
| ( ( ~ ( greater @ SV17 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(192,plain,
! [SV38: $i,SV18: $i] :
( ( ( SV18 = SV38 )
= $true )
| ( ( SV18
= ( vplus @ SV38 @ ( sK1_Vd123 @ SV38 @ SV18 ) ) )
= $true )
| ( ( SV38
= ( vplus @ SV18 @ ( sK2_Vd125 @ SV38 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(193,plain,
! [SV39: $i,SV19: $i] :
( ( ( SV19 = SV39 )
= $false )
| ( ( ! [SY103: $i] :
( SV39
!= ( vplus @ SV19 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(194,plain,
! [SV50: $i,SV40: $i,SV20: $i] :
( ( ( ( SV20
!= ( vplus @ SV40 @ SV50 ) ) )
= $true )
| ( ( ! [SY105: $i] :
( SV40
!= ( vplus @ SV20 @ SY105 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(195,plain,
! [SV41: $i,SV21: $i] :
( ( ( SV21 = SV41 )
= $false )
| ( ( ! [SY106: $i] :
( SV21
!= ( vplus @ SV41 @ SY106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(196,plain,
! [SV51: $i] :
( ( ! [SY107: $i] :
( ( vmul @ SV51 @ ( vsucc @ SY107 ) )
= ( vplus @ ( vmul @ SV51 @ SY107 ) @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(197,plain,
! [SV52: $i] :
( ( ( vmul @ SV52 @ v1 )
= SV52 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(198,plain,
! [SV53: $i] :
( ( ! [SY108: $i] :
( ! [SY109: $i] :
( SV53
!= ( vplus @ SY108 @ SY109 ) )
| ( less @ SY108 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(199,plain,
! [SV54: $i] :
( ( ! [SY110: $i] :
( ~ ( less @ SY110 @ SV54 )
| ( SV54
= ( vplus @ SY110 @ ( sK4_Vd201 @ SY110 @ SV54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(200,plain,
! [SV55: $i] :
( ( ! [SY111: $i] :
( ! [SY112: $i] :
( SY111
!= ( vplus @ SV55 @ SY112 ) )
| ( greater @ SY111 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(201,plain,
! [SV56: $i] :
( ( ! [SY113: $i] :
( ~ ( greater @ SY113 @ SV56 )
| ( SY113
= ( vplus @ SV56 @ ( sK3_Vd196 @ SY113 @ SV56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(202,plain,
! [SV42: $i,SV22: $i,SV1: $i] :
( ( ( less @ ( vmul @ SV1 @ SV22 ) @ ( vmul @ SV42 @ SV22 ) )
= $false )
| ( ( less @ SV1 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(203,plain,
! [SV43: $i,SV23: $i,SV2: $i] :
( ( ( ( vmul @ SV2 @ SV23 )
= ( vmul @ SV43 @ SV23 ) )
= $false )
| ( ( SV2 = SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(204,plain,
! [SV44: $i,SV24: $i,SV3: $i] :
( ( ( greater @ ( vmul @ SV3 @ SV24 ) @ ( vmul @ SV44 @ SV24 ) )
= $false )
| ( ( greater @ SV3 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(205,plain,
! [SV4: $i,SV45: $i,SV25: $i] :
( ( ( less @ SV25 @ SV45 )
= $false )
| ( ( less @ ( vmul @ SV25 @ SV4 ) @ ( vmul @ SV45 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(206,plain,
! [SV5: $i,SV46: $i,SV26: $i] :
( ( ( SV26 = SV46 )
= $false )
| ( ( ( vmul @ SV26 @ SV5 )
= ( vmul @ SV46 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(207,plain,
! [SV6: $i,SV47: $i,SV27: $i] :
( ( ( greater @ SV27 @ SV47 )
= $false )
| ( ( greater @ ( vmul @ SV27 @ SV6 ) @ ( vmul @ SV47 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(208,plain,
! [SV35: $i,SV15: $i] :
( ( ( less @ SV15 @ SV35 )
= $false )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(209,plain,
! [SV36: $i,SV16: $i] :
( ( ( less @ SV16 @ SV36 )
= $false )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(210,plain,
! [SV37: $i,SV17: $i] :
( ( ( greater @ SV17 @ SV37 )
= $false )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(211,plain,
! [SV57: $i,SV19: $i,SV39: $i] :
( ( ( ( SV39
!= ( vplus @ SV19 @ SV57 ) ) )
= $true )
| ( ( SV19 = SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV50: $i,SV40: $i,SV20: $i] :
( ( ( SV20
= ( vplus @ SV40 @ SV50 ) )
= $false )
| ( ( ! [SY105: $i] :
( SV40
!= ( vplus @ SV20 @ SY105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV58: $i,SV41: $i,SV21: $i] :
( ( ( ( SV21
!= ( vplus @ SV41 @ SV58 ) ) )
= $true )
| ( ( SV21 = SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV59: $i,SV51: $i] :
( ( ( vmul @ SV51 @ ( vsucc @ SV59 ) )
= ( vplus @ ( vmul @ SV51 @ SV59 ) @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV60: $i,SV53: $i] :
( ( ! [SY114: $i] :
( SV53
!= ( vplus @ SV60 @ SY114 ) )
| ( less @ SV60 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(216,plain,
! [SV54: $i,SV61: $i] :
( ( ~ ( less @ SV61 @ SV54 )
| ( SV54
= ( vplus @ SV61 @ ( sK4_Vd201 @ SV61 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV55: $i,SV62: $i] :
( ( ! [SY115: $i] :
( SV62
!= ( vplus @ SV55 @ SY115 ) )
| ( greater @ SV62 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(218,plain,
! [SV56: $i,SV63: $i] :
( ( ~ ( greater @ SV63 @ SV56 )
| ( SV63
= ( vplus @ SV56 @ ( sK3_Vd196 @ SV63 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV57: $i,SV19: $i,SV39: $i] :
( ( ( SV39
= ( vplus @ SV19 @ SV57 ) )
= $false )
| ( ( SV19 = SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(220,plain,
! [SV50: $i,SV64: $i,SV20: $i,SV40: $i] :
( ( ( ( SV40
!= ( vplus @ SV20 @ SV64 ) ) )
= $true )
| ( ( SV20
= ( vplus @ SV40 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(221,plain,
! [SV58: $i,SV41: $i,SV21: $i] :
( ( ( SV21
= ( vplus @ SV41 @ SV58 ) )
= $false )
| ( ( SV21 = SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(222,plain,
! [SV60: $i,SV53: $i] :
( ( ( ! [SY114: $i] :
( SV53
!= ( vplus @ SV60 @ SY114 ) ) )
= $true )
| ( ( less @ SV60 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV54: $i,SV61: $i] :
( ( ( ~ ( less @ SV61 @ SV54 ) )
= $true )
| ( ( SV54
= ( vplus @ SV61 @ ( sK4_Vd201 @ SV61 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(224,plain,
! [SV55: $i,SV62: $i] :
( ( ( ! [SY115: $i] :
( SV62
!= ( vplus @ SV55 @ SY115 ) ) )
= $true )
| ( ( greater @ SV62 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(225,plain,
! [SV56: $i,SV63: $i] :
( ( ( ~ ( greater @ SV63 @ SV56 ) )
= $true )
| ( ( SV63
= ( vplus @ SV56 @ ( sK3_Vd196 @ SV63 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(226,plain,
! [SV50: $i,SV64: $i,SV20: $i,SV40: $i] :
( ( ( SV40
= ( vplus @ SV20 @ SV64 ) )
= $false )
| ( ( SV20
= ( vplus @ SV40 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(227,plain,
! [SV65: $i,SV60: $i,SV53: $i] :
( ( ( ( SV53
!= ( vplus @ SV60 @ SV65 ) ) )
= $true )
| ( ( less @ SV60 @ SV53 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(228,plain,
! [SV54: $i,SV61: $i] :
( ( ( less @ SV61 @ SV54 )
= $false )
| ( ( SV54
= ( vplus @ SV61 @ ( sK4_Vd201 @ SV61 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(229,plain,
! [SV66: $i,SV55: $i,SV62: $i] :
( ( ( ( SV62
!= ( vplus @ SV55 @ SV66 ) ) )
= $true )
| ( ( greater @ SV62 @ SV55 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(230,plain,
! [SV56: $i,SV63: $i] :
( ( ( greater @ SV63 @ SV56 )
= $false )
| ( ( SV63
= ( vplus @ SV56 @ ( sK3_Vd196 @ SV63 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV65: $i,SV60: $i,SV53: $i] :
( ( ( SV53
= ( vplus @ SV60 @ SV65 ) )
= $false )
| ( ( less @ SV60 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(232,plain,
! [SV66: $i,SV55: $i,SV62: $i] :
( ( ( SV62
= ( vplus @ SV55 @ SV66 ) )
= $false )
| ( ( greater @ SV62 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(233,plain,
! [SV35: $i,SV15: $i] :
( ( ( SV15 = SV35 )
= $false )
| ( ( ( less @ SV15 @ SV35 )
= ( SV15 = SV35 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[208]) ).
thf(234,plain,
! [SV36: $i,SV16: $i] :
( ( ( greater @ SV16 @ SV36 )
= $false )
| ( ( ( less @ SV16 @ SV36 )
= ( greater @ SV16 @ SV36 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[209]) ).
thf(235,plain,
! [SV37: $i,SV17: $i] :
( ( ( SV17 = SV37 )
= $false )
| ( ( ( greater @ SV17 @ SV37 )
= ( SV17 = SV37 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[210]) ).
thf(239,plain,
! [SV35: $i,SV15: $i] :
( ( ( ~ ( ( less @ SV15 @ SV35 )
| ( SV15 = SV35 ) )
| ~ ( ~ ( less @ SV15 @ SV35 )
| ( SV15 != SV35 ) ) )
= $false )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[233]) ).
thf(241,plain,
! [SV36: $i,SV16: $i] :
( ( ( ~ ( ( less @ SV16 @ SV36 )
| ( greater @ SV16 @ SV36 ) )
| ~ ( ~ ( less @ SV16 @ SV36 )
| ~ ( greater @ SV16 @ SV36 ) ) )
= $false )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[234]) ).
thf(243,plain,
! [SV37: $i,SV17: $i] :
( ( ( ~ ( ( greater @ SV17 @ SV37 )
| ( SV17 = SV37 ) )
| ~ ( ~ ( greater @ SV17 @ SV37 )
| ( SV17 != SV37 ) ) )
= $false )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[235]) ).
thf(252,plain,
! [SV35: $i,SV15: $i] :
( ( ( ~ ( ~ ( less @ SV15 @ SV35 )
| ( SV15 != SV35 ) ) )
= $false )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(254,plain,
! [SV36: $i,SV16: $i] :
( ( ( ~ ( ~ ( less @ SV16 @ SV36 )
| ~ ( greater @ SV16 @ SV36 ) ) )
= $false )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(256,plain,
! [SV37: $i,SV17: $i] :
( ( ( ~ ( ~ ( greater @ SV17 @ SV37 )
| ( SV17 != SV37 ) ) )
= $false )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(264,plain,
! [SV35: $i,SV15: $i] :
( ( ( ~ ( less @ SV15 @ SV35 )
| ( SV15 != SV35 ) )
= $true )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(266,plain,
! [SV36: $i,SV16: $i] :
( ( ( ~ ( less @ SV16 @ SV36 )
| ~ ( greater @ SV16 @ SV36 ) )
= $true )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(268,plain,
! [SV37: $i,SV17: $i] :
( ( ( ~ ( greater @ SV17 @ SV37 )
| ( SV17 != SV37 ) )
= $true )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(276,plain,
! [SV35: $i,SV15: $i] :
( ( ( ~ ( less @ SV15 @ SV35 ) )
= $true )
| ( ( ( SV15 != SV35 ) )
= $true )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(278,plain,
! [SV36: $i,SV16: $i] :
( ( ( ~ ( less @ SV16 @ SV36 ) )
= $true )
| ( ( ~ ( greater @ SV16 @ SV36 ) )
= $true )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV37: $i,SV17: $i] :
( ( ( ~ ( greater @ SV17 @ SV37 ) )
= $true )
| ( ( ( SV17 != SV37 ) )
= $true )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(287,plain,
! [SV35: $i,SV15: $i] :
( ( ( less @ SV15 @ SV35 )
= $false )
| ( ( ( SV15 != SV35 ) )
= $true )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV36: $i,SV16: $i] :
( ( ( less @ SV16 @ SV36 )
= $false )
| ( ( ~ ( greater @ SV16 @ SV36 ) )
= $true )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV37: $i,SV17: $i] :
( ( ( greater @ SV17 @ SV37 )
= $false )
| ( ( ( SV17 != SV37 ) )
= $true )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV35: $i,SV15: $i] :
( ( ( SV15 = SV35 )
= $false )
| ( ( less @ SV15 @ SV35 )
= $false )
| ( ( SV15 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(294,plain,
! [SV36: $i,SV16: $i] :
( ( ( greater @ SV16 @ SV36 )
= $false )
| ( ( less @ SV16 @ SV36 )
= $false )
| ( ( greater @ SV16 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV37: $i,SV17: $i] :
( ( ( SV17 = SV37 )
= $false )
| ( ( greater @ SV17 @ SV37 )
= $false )
| ( ( SV17 = SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(300,plain,
! [SV35: $i] :
( ( less @ SV35 @ SV35 )
= $false ),
inference(extuni,[status(esa)],[293:[bind(SV15,$thf( SV35 ))]]) ).
thf(302,plain,
! [SV37: $i] :
( ( greater @ SV37 @ SV37 )
= $false ),
inference(extuni,[status(esa)],[295:[bind(SV17,$thf( SV37 ))]]) ).
thf(308,plain,
! [SV35: $i] :
( ( less @ SV35 @ SV35 )
= $false ),
inference(extuni,[status(esa)],[208:[bind(SV15,$thf( SV35 ))]]) ).
thf(309,plain,
! [SV37: $i] :
( ( greater @ SV37 @ SV37 )
= $false ),
inference(extuni,[status(esa)],[210:[bind(SV17,$thf( SV37 ))]]) ).
thf(310,plain,
! [SV65: $i,SV60: $i] :
( ( less @ SV60 @ ( vplus @ SV60 @ SV65 ) )
= $true ),
inference(extuni,[status(esa)],[231:[bind(SV53,$thf( vplus @ SV60 @ SV65 ))]]) ).
thf(311,plain,
! [SV66: $i,SV55: $i] :
( ( greater @ ( vplus @ SV55 @ SV66 ) @ SV55 )
= $true ),
inference(extuni,[status(esa)],[232:[bind(SV62,$thf( vplus @ SV55 @ SV66 ))]]) ).
thf(312,plain,
! [SV36: $i,SV16: $i] :
( ( ( greater @ SV16 @ SV36 )
= $false )
| ( ( less @ SV16 @ SV36 )
= $false ) ),
inference(sim,[status(thm)],[294]) ).
thf(313,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[75,312,311,310,309,308,302,300,232,231,230,228,226,221,219,214,210,209,208,207,206,205,204,203,202,197,192,188,187,186,163,162,139,138,126,115,76]) ).
thf(314,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 23:47:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 26
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 .
% 0.13/0.37 (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:28,loop_count:0,foatp_calls:0,translation:fof_full)............eprover: CPU time limit exceeded, terminating
% 74.30/74.58 ...
% 87.85/88.10
% 87.85/88.10 ********************************
% 87.85/88.10 * All subproblems solved! *
% 87.85/88.10 ********************************
% 87.85/88.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:313,loop_count:0,foatp_calls:2,translation:fof_full)
% 87.88/88.12
% 87.88/88.12 %**** Beginning of derivation protocol ****
% 87.88/88.12 % SZS output start CNFRefutation
% See solution above
% 87.88/88.12
% 87.88/88.12 %**** End of derivation protocol ****
% 87.88/88.12 %**** no. of clauses in derivation: 262 ****
% 87.88/88.12 %**** clause counter: 313 ****
% 87.88/88.12
% 87.88/88.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:313,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------