TSTP Solution File: NUM852+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM852+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 : n028.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 11:56:05 EDT 2022
% Result : Theorem 0.69s 0.88s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 175 ( 116 unt; 11 typ; 0 def)
% Number of atoms : 674 ( 313 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1283 ( 132 ~; 130 |; 4 &; 999 @)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 354 ( 0 ^ 350 !; 4 ?; 354 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_Vd196,type,
sK1_Vd196: $i > $i > $i ).
thf(tp_sK2_Vd201,type,
sK2_Vd201: $i > $i > $i ).
thf(tp_vd469,type,
vd469: $i ).
thf(tp_vd480,type,
vd480: $i ).
thf(tp_vd481,type,
vd481: $i ).
thf(tp_vmul,type,
vmul: $i > $i > $i ).
thf(tp_vplus,type,
vplus: $i > $i > $i ).
thf(tp_vskolem9,type,
vskolem9: $i > $i > $i ).
thf(tp_vsucc,type,
vsucc: $i > $i ).
thf(1,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(2,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(3,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
thf(4,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(5,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
thf(6,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(7,axiom,
! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
thf(8,axiom,
! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
thf(9,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(10,axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
thf(11,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(12,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(13,axiom,
! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( Vd470
= ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(302, 0), 3)') ).
thf(14,axiom,
! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( ( vmul @ Vd470 @ vd469 )
= ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(302, 0), 2)') ).
thf(15,axiom,
! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 )
= ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(302, 0), 1)') ).
thf(16,axiom,
! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( greater @ ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) @ ( vmul @ Vd471 @ vd469 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(302, 0), 0)') ).
thf(17,axiom,
! [Vd476: $i,Vd477: $i] :
( ( Vd476 = Vd477 )
=> ( ( vmul @ Vd476 @ vd469 )
= ( vmul @ Vd477 @ vd469 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(303, 0), 0)') ).
thf(18,axiom,
less @ vd480 @ vd481,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(304), 482, 0)') ).
thf(19,axiom,
greater @ vd481 @ vd480,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
thf(20,conjecture,
greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
thf(21,negated_conjecture,
( ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) )
= $false ),
inference(unfold_def,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ( less @ Vd199 @ Vd198 )
<=> ? [Vd201: $i] :
( Vd198
= ( vplus @ Vd199 @ Vd201 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( ! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,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)],[11]) ).
thf(34,plain,
( ( ! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( Vd470
= ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( ( vmul @ Vd470 @ vd469 )
= ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 )
= ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( greater @ ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) @ ( vmul @ Vd471 @ vd469 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ! [Vd476: $i,Vd477: $i] :
( ( Vd476 = Vd477 )
=> ( ( vmul @ Vd476 @ vd469 )
= ( vmul @ Vd477 @ vd469 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( less @ vd480 @ vd481 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( greater @ vd481 @ vd480 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(42,plain,
( ( ~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(43,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ! [Vd196: $i] :
( Vd194
!= ( vplus @ Vd193 @ Vd196 ) )
| ( greater @ Vd194 @ Vd193 ) )
& ! [Vd193: $i,Vd194: $i] :
( ~ ( greater @ Vd194 @ Vd193 )
| ( Vd194
= ( vplus @ Vd193 @ ( sK1_Vd196 @ Vd194 @ Vd193 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(44,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ! [Vd201: $i] :
( Vd198
!= ( vplus @ Vd199 @ Vd201 ) )
| ( less @ Vd199 @ Vd198 ) )
& ! [Vd198: $i,Vd199: $i] :
( ~ ( less @ Vd199 @ Vd198 )
| ( Vd198
= ( vplus @ Vd199 @ ( sK2_Vd201 @ Vd199 @ Vd198 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(45,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(46,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(47,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(48,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ~ ( greater @ Vd208 @ Vd209 )
| ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(49,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ~ ( less @ Vd226 @ Vd227 )
| ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(50,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( Vd470
= ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(51,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( ( vmul @ Vd470 @ vd469 )
= ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(52,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 )
= ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(53,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( greater @ ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) @ ( vmul @ Vd471 @ vd469 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(54,plain,
( ( ! [Vd476: $i,Vd477: $i] :
( ( Vd476 != Vd477 )
| ( ( vmul @ Vd476 @ vd469 )
= ( vmul @ Vd477 @ vd469 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(55,plain,
( ( greater @ vd481 @ vd480 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( less @ vd480 @ vd481 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [Vd476: $i,Vd477: $i] :
( ( Vd476 != Vd477 )
| ( ( vmul @ Vd476 @ vd469 )
= ( vmul @ Vd477 @ vd469 ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(58,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( greater @ ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) @ ( vmul @ Vd471 @ vd469 ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(59,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 )
= ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(60,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( ( vmul @ Vd470 @ vd469 )
= ( vmul @ ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) @ vd469 ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(61,plain,
( ( ! [Vd470: $i,Vd471: $i] :
( ~ ( greater @ Vd470 @ Vd471 )
| ( Vd470
= ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(62,plain,
( ( ! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(63,plain,
( ( ! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(64,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(65,plain,
( ( ! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(66,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ~ ( less @ Vd226 @ Vd227 )
| ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(67,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ~ ( greater @ Vd208 @ Vd209 )
| ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(68,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(69,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(70,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(71,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(72,plain,
( ( ! [Vd198: $i,Vd199: $i] :
( ! [Vd201: $i] :
( Vd198
!= ( vplus @ Vd199 @ Vd201 ) )
| ( less @ Vd199 @ Vd198 ) )
& ! [Vd198: $i,Vd199: $i] :
( ~ ( less @ Vd199 @ Vd198 )
| ( Vd198
= ( vplus @ Vd199 @ ( sK2_Vd201 @ Vd199 @ Vd198 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(73,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ! [Vd196: $i] :
( Vd194
!= ( vplus @ Vd193 @ Vd196 ) )
| ( greater @ Vd194 @ Vd193 ) )
& ! [Vd193: $i,Vd194: $i] :
( ~ ( greater @ Vd194 @ Vd193 )
| ( Vd194
= ( vplus @ Vd193 @ ( sK1_Vd196 @ Vd194 @ Vd193 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(74,plain,
( ( ~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(75,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK2_Vd201 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(76,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK1_Vd196 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(77,plain,
! [SV1: $i] :
( ( ! [SY38: $i] :
( ( SV1 != SY38 )
| ( ( vmul @ SV1 @ vd469 )
= ( vmul @ SY38 @ vd469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(78,plain,
! [SV2: $i] :
( ( ! [SY39: $i] :
( ~ ( greater @ SV2 @ SY39 )
| ( greater @ ( vplus @ ( vmul @ SY39 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV2 @ SY39 ) @ vd469 ) ) @ ( vmul @ SY39 @ vd469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(79,plain,
! [SV3: $i] :
( ( ! [SY40: $i] :
( ~ ( greater @ SV3 @ SY40 )
| ( ( vmul @ ( vplus @ SY40 @ ( vskolem9 @ SV3 @ SY40 ) ) @ vd469 )
= ( vplus @ ( vmul @ SY40 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV3 @ SY40 ) @ vd469 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(80,plain,
! [SV4: $i] :
( ( ! [SY41: $i] :
( ~ ( greater @ SV4 @ SY41 )
| ( ( vmul @ SV4 @ vd469 )
= ( vmul @ ( vplus @ SY41 @ ( vskolem9 @ SV4 @ SY41 ) ) @ vd469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(81,plain,
! [SV5: $i] :
( ( ! [SY42: $i] :
( ~ ( greater @ SV5 @ SY42 )
| ( SV5
= ( vplus @ SY42 @ ( vskolem9 @ SV5 @ SY42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(82,plain,
! [SV6: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ( vmul @ ( vmul @ SV6 @ SY43 ) @ SY44 )
= ( vmul @ SV6 @ ( vmul @ SY43 @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(83,plain,
! [SV7: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( vmul @ SV7 @ ( vplus @ SY45 @ SY46 ) )
= ( vplus @ ( vmul @ SV7 @ SY45 ) @ ( vmul @ SV7 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(84,plain,
! [SV8: $i] :
( ( ! [SY47: $i] :
( ( vmul @ SV8 @ SY47 )
= ( vmul @ SY47 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(85,plain,
! [SV9: $i] :
( ( ! [SY48: $i] :
( ( vmul @ ( vsucc @ SV9 ) @ SY48 )
= ( vplus @ ( vmul @ SV9 @ SY48 ) @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(86,plain,
! [SV10: $i] :
( ( ! [SY49: $i] :
( ~ ( less @ SV10 @ SY49 )
| ( greater @ SY49 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(87,plain,
! [SV11: $i] :
( ( ! [SY50: $i] :
( ~ ( greater @ SV11 @ SY50 )
| ( less @ SY50 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(88,plain,
! [SV12: $i] :
( ( ! [SY51: $i] :
( ( less @ SV12 @ SY51 )
| ( SV12 = SY51 )
| ( greater @ SV12 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(89,plain,
! [SV13: $i] :
( ( ! [SY52: $i] :
( ( SV13 != SY52 )
| ~ ( less @ SV13 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(90,plain,
! [SV14: $i] :
( ( ! [SY53: $i] :
( ~ ( greater @ SV14 @ SY53 )
| ~ ( less @ SV14 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(91,plain,
! [SV15: $i] :
( ( ! [SY54: $i] :
( ( SV15 != SY54 )
| ~ ( greater @ SV15 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(92,plain,
( ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(93,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK2_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(94,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK1_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(95,plain,
! [SV16: $i,SV1: $i] :
( ( ( SV1 != SV16 )
| ( ( vmul @ SV1 @ vd469 )
= ( vmul @ SV16 @ vd469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(96,plain,
! [SV17: $i,SV2: $i] :
( ( ~ ( greater @ SV2 @ SV17 )
| ( greater @ ( vplus @ ( vmul @ SV17 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV2 @ SV17 ) @ vd469 ) ) @ ( vmul @ SV17 @ vd469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(97,plain,
! [SV18: $i,SV3: $i] :
( ( ~ ( greater @ SV3 @ SV18 )
| ( ( vmul @ ( vplus @ SV18 @ ( vskolem9 @ SV3 @ SV18 ) ) @ vd469 )
= ( vplus @ ( vmul @ SV18 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV3 @ SV18 ) @ vd469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(98,plain,
! [SV19: $i,SV4: $i] :
( ( ~ ( greater @ SV4 @ SV19 )
| ( ( vmul @ SV4 @ vd469 )
= ( vmul @ ( vplus @ SV19 @ ( vskolem9 @ SV4 @ SV19 ) ) @ vd469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(99,plain,
! [SV20: $i,SV5: $i] :
( ( ~ ( greater @ SV5 @ SV20 )
| ( SV5
= ( vplus @ SV20 @ ( vskolem9 @ SV5 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(100,plain,
! [SV21: $i,SV6: $i] :
( ( ! [SY55: $i] :
( ( vmul @ ( vmul @ SV6 @ SV21 ) @ SY55 )
= ( vmul @ SV6 @ ( vmul @ SV21 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(101,plain,
! [SV22: $i,SV7: $i] :
( ( ! [SY56: $i] :
( ( vmul @ SV7 @ ( vplus @ SV22 @ SY56 ) )
= ( vplus @ ( vmul @ SV7 @ SV22 ) @ ( vmul @ SV7 @ SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(102,plain,
! [SV23: $i,SV8: $i] :
( ( ( vmul @ SV8 @ SV23 )
= ( vmul @ SV23 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(103,plain,
! [SV24: $i,SV9: $i] :
( ( ( vmul @ ( vsucc @ SV9 ) @ SV24 )
= ( vplus @ ( vmul @ SV9 @ SV24 ) @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(104,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( less @ SV10 @ SV25 )
| ( greater @ SV25 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(105,plain,
! [SV26: $i,SV11: $i] :
( ( ~ ( greater @ SV11 @ SV26 )
| ( less @ SV26 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(106,plain,
! [SV27: $i,SV12: $i] :
( ( ( less @ SV12 @ SV27 )
| ( SV12 = SV27 )
| ( greater @ SV12 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(107,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13 != SV28 )
| ~ ( less @ SV13 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(108,plain,
! [SV29: $i,SV14: $i] :
( ( ~ ( greater @ SV14 @ SV29 )
| ~ ( less @ SV14 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(109,plain,
! [SV30: $i,SV15: $i] :
( ( ( SV15 != SV30 )
| ~ ( greater @ SV15 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(110,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(111,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK2_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(112,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(113,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK1_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(114,plain,
! [SV16: $i,SV1: $i] :
( ( ( ( SV1 != SV16 ) )
= $true )
| ( ( ( vmul @ SV1 @ vd469 )
= ( vmul @ SV16 @ vd469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV17: $i,SV2: $i] :
( ( ( ~ ( greater @ SV2 @ SV17 ) )
= $true )
| ( ( greater @ ( vplus @ ( vmul @ SV17 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV2 @ SV17 ) @ vd469 ) ) @ ( vmul @ SV17 @ vd469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( greater @ SV3 @ SV18 ) )
= $true )
| ( ( ( vmul @ ( vplus @ SV18 @ ( vskolem9 @ SV3 @ SV18 ) ) @ vd469 )
= ( vplus @ ( vmul @ SV18 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV3 @ SV18 ) @ vd469 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV19: $i,SV4: $i] :
( ( ( ~ ( greater @ SV4 @ SV19 ) )
= $true )
| ( ( ( vmul @ SV4 @ vd469 )
= ( vmul @ ( vplus @ SV19 @ ( vskolem9 @ SV4 @ SV19 ) ) @ vd469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(118,plain,
! [SV20: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV20 ) )
= $true )
| ( ( SV5
= ( vplus @ SV20 @ ( vskolem9 @ SV5 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV31: $i,SV21: $i,SV6: $i] :
( ( ( vmul @ ( vmul @ SV6 @ SV21 ) @ SV31 )
= ( vmul @ SV6 @ ( vmul @ SV21 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV32: $i,SV22: $i,SV7: $i] :
( ( ( vmul @ SV7 @ ( vplus @ SV22 @ SV32 ) )
= ( vplus @ ( vmul @ SV7 @ SV22 ) @ ( vmul @ SV7 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( less @ SV10 @ SV25 ) )
= $true )
| ( ( greater @ SV25 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( greater @ SV11 @ SV26 ) )
= $true )
| ( ( less @ SV26 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV27: $i,SV12: $i] :
( ( ( less @ SV12 @ SV27 )
= $true )
| ( ( ( SV12 = SV27 )
| ( greater @ SV12 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV28: $i,SV13: $i] :
( ( ( ( SV13 != SV28 ) )
= $true )
| ( ( ~ ( less @ SV13 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV29: $i,SV14: $i] :
( ( ( ~ ( greater @ SV14 @ SV29 ) )
= $true )
| ( ( ~ ( less @ SV14 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV30: $i,SV15: $i] :
( ( ( ( SV15 != SV30 ) )
= $true )
| ( ( ~ ( greater @ SV15 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( vplus @ SX1 @ SX2 ) )
| ( less @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX1 @ SX0 )
| ( SX0
= ( vplus @ SX1 @ ( sK2_Vd201 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(129,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(130,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( SX1
= ( vplus @ SX0 @ ( sK1_Vd196 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(131,plain,
! [SV16: $i,SV1: $i] :
( ( ( SV1 = SV16 )
= $false )
| ( ( ( vmul @ SV1 @ vd469 )
= ( vmul @ SV16 @ vd469 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(132,plain,
! [SV17: $i,SV2: $i] :
( ( ( greater @ SV2 @ SV17 )
= $false )
| ( ( greater @ ( vplus @ ( vmul @ SV17 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV2 @ SV17 ) @ vd469 ) ) @ ( vmul @ SV17 @ vd469 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(133,plain,
! [SV18: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV18 )
= $false )
| ( ( ( vmul @ ( vplus @ SV18 @ ( vskolem9 @ SV3 @ SV18 ) ) @ vd469 )
= ( vplus @ ( vmul @ SV18 @ vd469 ) @ ( vmul @ ( vskolem9 @ SV3 @ SV18 ) @ vd469 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(134,plain,
! [SV19: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV19 )
= $false )
| ( ( ( vmul @ SV4 @ vd469 )
= ( vmul @ ( vplus @ SV19 @ ( vskolem9 @ SV4 @ SV19 ) ) @ vd469 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(135,plain,
! [SV20: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV20 )
= $false )
| ( ( SV5
= ( vplus @ SV20 @ ( vskolem9 @ SV5 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(136,plain,
! [SV25: $i,SV10: $i] :
( ( ( less @ SV10 @ SV25 )
= $false )
| ( ( greater @ SV25 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(137,plain,
! [SV26: $i,SV11: $i] :
( ( ( greater @ SV11 @ SV26 )
= $false )
| ( ( less @ SV26 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(138,plain,
! [SV27: $i,SV12: $i] :
( ( ( SV12 = SV27 )
= $true )
| ( ( greater @ SV12 @ SV27 )
= $true )
| ( ( less @ SV12 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13 = SV28 )
= $false )
| ( ( ~ ( less @ SV13 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV29: $i,SV14: $i] :
( ( ( greater @ SV14 @ SV29 )
= $false )
| ( ( ~ ( less @ SV14 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV30: $i,SV15: $i] :
( ( ( SV15 = SV30 )
= $false )
| ( ( ~ ( greater @ SV15 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV33: $i] :
( ( ! [SY57: $i] :
( ! [SY58: $i] :
( SV33
!= ( vplus @ SY57 @ SY58 ) )
| ( less @ SY57 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV34: $i] :
( ( ! [SY59: $i] :
( ~ ( less @ SY59 @ SV34 )
| ( SV34
= ( vplus @ SY59 @ ( sK2_Vd201 @ SY59 @ SV34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV35: $i] :
( ( ! [SY60: $i] :
( ! [SY61: $i] :
( SY60
!= ( vplus @ SV35 @ SY61 ) )
| ( greater @ SY60 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV36: $i] :
( ( ! [SY62: $i] :
( ~ ( greater @ SY62 @ SV36 )
| ( SY62
= ( vplus @ SV36 @ ( sK1_Vd196 @ SY62 @ SV36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV28: $i,SV13: $i] :
( ( ( less @ SV13 @ SV28 )
= $false )
| ( ( SV13 = SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV29: $i,SV14: $i] :
( ( ( less @ SV14 @ SV29 )
= $false )
| ( ( greater @ SV14 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV30: $i,SV15: $i] :
( ( ( greater @ SV15 @ SV30 )
= $false )
| ( ( SV15 = SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV37: $i,SV33: $i] :
( ( ! [SY63: $i] :
( SV33
!= ( vplus @ SV37 @ SY63 ) )
| ( less @ SV37 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV34: $i,SV38: $i] :
( ( ~ ( less @ SV38 @ SV34 )
| ( SV34
= ( vplus @ SV38 @ ( sK2_Vd201 @ SV38 @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV35: $i,SV39: $i] :
( ( ! [SY64: $i] :
( SV39
!= ( vplus @ SV35 @ SY64 ) )
| ( greater @ SV39 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV36: $i,SV40: $i] :
( ( ~ ( greater @ SV40 @ SV36 )
| ( SV40
= ( vplus @ SV36 @ ( sK1_Vd196 @ SV40 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV37: $i,SV33: $i] :
( ( ( ! [SY63: $i] :
( SV33
!= ( vplus @ SV37 @ SY63 ) ) )
= $true )
| ( ( less @ SV37 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV34: $i,SV38: $i] :
( ( ( ~ ( less @ SV38 @ SV34 ) )
= $true )
| ( ( SV34
= ( vplus @ SV38 @ ( sK2_Vd201 @ SV38 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(155,plain,
! [SV35: $i,SV39: $i] :
( ( ( ! [SY64: $i] :
( SV39
!= ( vplus @ SV35 @ SY64 ) ) )
= $true )
| ( ( greater @ SV39 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(156,plain,
! [SV36: $i,SV40: $i] :
( ( ( ~ ( greater @ SV40 @ SV36 ) )
= $true )
| ( ( SV40
= ( vplus @ SV36 @ ( sK1_Vd196 @ SV40 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(157,plain,
! [SV41: $i,SV37: $i,SV33: $i] :
( ( ( ( SV33
!= ( vplus @ SV37 @ SV41 ) ) )
= $true )
| ( ( less @ SV37 @ SV33 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(158,plain,
! [SV34: $i,SV38: $i] :
( ( ( less @ SV38 @ SV34 )
= $false )
| ( ( SV34
= ( vplus @ SV38 @ ( sK2_Vd201 @ SV38 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(159,plain,
! [SV42: $i,SV35: $i,SV39: $i] :
( ( ( ( SV39
!= ( vplus @ SV35 @ SV42 ) ) )
= $true )
| ( ( greater @ SV39 @ SV35 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(160,plain,
! [SV36: $i,SV40: $i] :
( ( ( greater @ SV40 @ SV36 )
= $false )
| ( ( SV40
= ( vplus @ SV36 @ ( sK1_Vd196 @ SV40 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(161,plain,
! [SV41: $i,SV37: $i,SV33: $i] :
( ( ( SV33
= ( vplus @ SV37 @ SV41 ) )
= $false )
| ( ( less @ SV37 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(162,plain,
! [SV42: $i,SV35: $i,SV39: $i] :
( ( ( SV39
= ( vplus @ SV35 @ SV42 ) )
= $false )
| ( ( greater @ SV39 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[55,162,161,160,158,148,147,146,138,137,136,135,134,133,132,131,120,119,103,102,92,56]) ).
thf(164,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n028.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 : Tue Jul 5 21:34:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 19
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:19,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:21,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.69/0.88
% 0.69/0.88 ********************************
% 0.69/0.88 * All subproblems solved! *
% 0.69/0.88 ********************************
% 0.69/0.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,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:163,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.72/0.89
% 0.72/0.89 %**** Beginning of derivation protocol ****
% 0.72/0.89 % SZS output start CNFRefutation
% See solution above
% 0.72/0.89
% 0.72/0.89 %**** End of derivation protocol ****
% 0.72/0.89 %**** no. of clauses in derivation: 164 ****
% 0.72/0.89 %**** clause counter: 163 ****
% 0.72/0.89
% 0.72/0.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,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:163,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------