%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Wed Oct 7 10:35:25 AM UTC 2026
% Result : Theorem 9.74s 1.99s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 150 ( 104 unt; 0 typ; 0 def)
% Number of atoms : 610 ( 263 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1051 ( 131 ~; 103 |; 0 &; 790 @)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 357 ( 0 ^; 354 !; 3 ?; 357 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_sK1_SY67,type,
sK1_SY67: $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(5,axiom,
! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
thf(7,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
thf(10,axiom,
! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
thf(12,axiom,
! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
thf(14,axiom,
! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
thf(16,axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).
thf(25,axiom,
greater @ vd508 @ vd509,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
thf(26,axiom,
greater @ vd511 @ vd512,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(314), 513, 0)') ).
thf(27,conjecture,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ),
file('/export/starexec/sandbox2/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,
( ( ! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(31,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(32,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(33,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
( ( ! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,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(39,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(40,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(41,plain,
( ( ! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 = Vd462 )
=> ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(42,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(43,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(44,plain,
( ( ! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
= ( vmul @ Vd493 @ Vd492 ) )
=> ( Vd491 = Vd493 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(45,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(46,plain,
( ( greater @ vd508 @ vd509 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(47,plain,
( ( greater @ vd511 @ vd512 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(48,plain,
( ( ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(49,plain,
( ( greater @ vd511 @ vd512 )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(50,plain,
( ( greater @ vd508 @ vd509 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(51,plain,
( ( ! [Vd496: $i,Vd497: $i,Vd498: $i] :
( ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
=> ( less @ Vd496 @ Vd498 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(52,plain,
( ( ! [Vd491: $i,Vd492: $i,Vd493: $i] :
( ( ( vmul @ Vd491 @ Vd492 )
= ( vmul @ Vd493 @ Vd492 ) )
=> ( Vd491 = Vd493 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(53,plain,
( ( ! [Vd486: $i,Vd487: $i,Vd488: $i] :
( ( greater @ ( vmul @ Vd486 @ Vd487 ) @ ( vmul @ Vd488 @ Vd487 ) )
=> ( greater @ Vd486 @ Vd488 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(54,plain,
( ( ! [Vd456: $i,Vd465: $i,Vd466: $i] :
( ( less @ Vd465 @ Vd466 )
=> ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(55,plain,
( ( ! [Vd456: $i,Vd461: $i,Vd462: $i] :
( ( Vd461 = Vd462 )
=> ( ( vmul @ Vd461 @ Vd456 )
= ( vmul @ Vd462 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [Vd456: $i,Vd457: $i,Vd458: $i] :
( ( greater @ Vd457 @ Vd458 )
=> ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [Vd444: $i,Vd445: $i,Vd446: $i] :
( ( vmul @ ( vmul @ Vd444 @ Vd445 ) @ Vd446 )
= ( vmul @ Vd444 @ ( vmul @ Vd445 @ Vd446 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(58,plain,
( ( ! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(59,plain,
( ( ! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(60,plain,
( ( ! [Vd400: $i] :
( ( vmul @ v1 @ Vd400 )
= Vd400 ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(61,plain,
( ( ! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(62,plain,
( ( ! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(63,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 = Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(64,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ~ ( greater @ Vd203 @ Vd204 )
| ~ ( less @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(65,plain,
( ( ! [Vd203: $i,Vd204: $i] :
( ( Vd203 != Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(66,plain,
( ( ! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(67,plain,
( ( ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( greater @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( SX1
!= ( vplus @ SX0 @ SX2 ) )
| ( greater @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( greater @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( greater @ ( vmul @ SX0 @ SX1 ) @ ( vmul @ SX2 @ SX1 ) )
| ( greater @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX1 != SX2 )
| ( ( vmul @ SX1 @ SX0 )
= ( vmul @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( less @ ( vmul @ SX0 @ SX1 ) @ ( vmul @ SX2 @ SX1 ) )
| ( less @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( less @ SX1 @ SX2 )
| ( less @ ( vmul @ SX1 @ SX0 ) @ ( vmul @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( greater @ SX1 @ SX2 )
| ( greater @ ( vmul @ SX1 @ SX0 ) @ ( vmul @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( less @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( vmul @ SX0 @ SX1 )
!= ( vmul @ SX2 @ SX1 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(78,plain,
! [SV1: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ( vmul @ ( vmul @ SV1 @ SY40 ) @ SY41 )
= ( vmul @ SV1 @ ( vmul @ SY40 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(79,plain,
! [SV2: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( vmul @ SV2 @ ( vplus @ SY42 @ SY43 ) )
= ( vplus @ ( vmul @ SV2 @ SY42 ) @ ( vmul @ SV2 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(80,plain,
! [SV3: $i] :
( ( ! [SY44: $i] :
( ( vmul @ SV3 @ SY44 )
= ( vmul @ SY44 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(81,plain,
! [SV4: $i] :
( ( ( vmul @ v1 @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(82,plain,
! [SV5: $i] :
( ( ! [SY45: $i] :
( ( SV5 = SY45 )
| ( greater @ SV5 @ SY45 )
| ( less @ SV5 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV6: $i] :
( ( ! [SY46: $i] :
( ~ ( greater @ SV6 @ SY46 )
| ~ ( less @ SV6 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
( ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV7: $i] :
( ( ! [SY47: $i] :
~ ( ~ ( ~ ( greater @ SY47 @ SV7 )
| ~ ! [SY48: $i] :
( SY47
!= ( vplus @ SV7 @ SY48 ) ) )
| ~ ( ~ ~ ! [SY49: $i] :
( SY47
!= ( vplus @ SV7 @ SY49 ) )
| ( greater @ SY47 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV8: $i] :
( ( ! [SY50: $i] :
( ( SV8 != SY50 )
| ~ ( greater @ SV8 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(87,plain,
! [SV9: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( greater @ ( vmul @ SV9 @ SY51 ) @ ( vmul @ SY52 @ SY51 ) )
| ( greater @ SV9 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(88,plain,
! [SV10: $i] :
( ( ! [SY53: $i] :
( ~ ( less @ SV10 @ SY53 )
| ( greater @ SY53 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(89,plain,
! [SV11: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ( SY54 != SY55 )
| ( ( vmul @ SY54 @ SV11 )
= ( vmul @ SY55 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(90,plain,
! [SV12: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( less @ ( vmul @ SV12 @ SY56 ) @ ( vmul @ SY57 @ SY56 ) )
| ( less @ SV12 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(91,plain,
! [SV13: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( less @ SY58 @ SY59 )
| ( less @ ( vmul @ SY58 @ SV13 ) @ ( vmul @ SY59 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(92,plain,
! [SV14: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( greater @ SY60 @ SY61 )
| ( greater @ ( vmul @ SY60 @ SV14 ) @ ( vmul @ SY61 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(93,plain,
! [SV15: $i] :
( ( ! [SY62: $i] :
( ~ ( greater @ SV15 @ SY62 )
| ( less @ SY62 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(94,plain,
! [SV16: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ( ( vmul @ SV16 @ SY63 )
!= ( vmul @ SY64 @ SY63 ) )
| ( SV16 = SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(95,plain,
! [SV17: $i,SV1: $i] :
( ( ! [SY65: $i] :
( ( vmul @ ( vmul @ SV1 @ SV17 ) @ SY65 )
= ( vmul @ SV1 @ ( vmul @ SV17 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(96,plain,
! [SV18: $i,SV2: $i] :
( ( ! [SY66: $i] :
( ( vmul @ SV2 @ ( vplus @ SV18 @ SY66 ) )
= ( vplus @ ( vmul @ SV2 @ SV18 ) @ ( vmul @ SV2 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(97,plain,
! [SV19: $i,SV3: $i] :
( ( ( vmul @ SV3 @ SV19 )
= ( vmul @ SV19 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(98,plain,
! [SV20: $i,SV5: $i] :
( ( ( SV5 = SV20 )
| ( greater @ SV5 @ SV20 )
| ( less @ SV5 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(99,plain,
! [SV21: $i,SV6: $i] :
( ( ~ ( greater @ SV6 @ SV21 )
| ~ ( less @ SV6 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(100,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ( ~ ( ~ ( greater @ SV22 @ SV7 )
| ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
| ~ ( ~ ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) )
| ( greater @ SV22 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV23: $i,SV8: $i] :
( ( ( SV8 != SV23 )
| ~ ( greater @ SV8 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV24: $i,SV9: $i] :
( ( ! [SY69: $i] :
( ~ ( greater @ ( vmul @ SV9 @ SV24 ) @ ( vmul @ SY69 @ SV24 ) )
| ( greater @ SV9 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( less @ SV10 @ SV25 )
| ( greater @ SV25 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV11: $i,SV26: $i] :
( ( ! [SY70: $i] :
( ( SV26 != SY70 )
| ( ( vmul @ SV26 @ SV11 )
= ( vmul @ SY70 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV27: $i,SV12: $i] :
( ( ! [SY71: $i] :
( ~ ( less @ ( vmul @ SV12 @ SV27 ) @ ( vmul @ SY71 @ SV27 ) )
| ( less @ SV12 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV13: $i,SV28: $i] :
( ( ! [SY72: $i] :
( ~ ( less @ SV28 @ SY72 )
| ( less @ ( vmul @ SV28 @ SV13 ) @ ( vmul @ SY72 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV14: $i,SV29: $i] :
( ( ! [SY73: $i] :
( ~ ( greater @ SV29 @ SY73 )
| ( greater @ ( vmul @ SV29 @ SV14 ) @ ( vmul @ SY73 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV30: $i,SV15: $i] :
( ( ~ ( greater @ SV15 @ SV30 )
| ( less @ SV30 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV31: $i,SV16: $i] :
( ( ! [SY74: $i] :
( ( ( vmul @ SV16 @ SV31 )
!= ( vmul @ SY74 @ SV31 ) )
| ( SV16 = SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV32: $i,SV17: $i,SV1: $i] :
( ( ( vmul @ ( vmul @ SV1 @ SV17 ) @ SV32 )
= ( vmul @ SV1 @ ( vmul @ SV17 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV33: $i,SV18: $i,SV2: $i] :
( ( ( vmul @ SV2 @ ( vplus @ SV18 @ SV33 ) )
= ( vplus @ ( vmul @ SV2 @ SV18 ) @ ( vmul @ SV2 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV20: $i,SV5: $i] :
( ( ( ( SV5 = SV20 )
| ( greater @ SV5 @ SV20 ) )
= $true )
| ( ( less @ SV5 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( greater @ SV6 @ SV21 ) )
= $true )
| ( ( ~ ( less @ SV6 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ( ~ ( greater @ SV22 @ SV7 )
| ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
| ~ ( ~ ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) )
| ( greater @ SV22 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV23: $i,SV8: $i] :
( ( ( SV8 != SV23 )
= $true )
| ( ( ~ ( greater @ SV8 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV34: $i,SV24: $i,SV9: $i] :
( ( ~ ( greater @ ( vmul @ SV9 @ SV24 ) @ ( vmul @ SV34 @ SV24 ) )
| ( greater @ SV9 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( less @ SV10 @ SV25 ) )
= $true )
| ( ( greater @ SV25 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV11: $i,SV35: $i,SV26: $i] :
( ( ( SV26 != SV35 )
| ( ( vmul @ SV26 @ SV11 )
= ( vmul @ SV35 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV36: $i,SV27: $i,SV12: $i] :
( ( ~ ( less @ ( vmul @ SV12 @ SV27 ) @ ( vmul @ SV36 @ SV27 ) )
| ( less @ SV12 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV13: $i,SV37: $i,SV28: $i] :
( ( ~ ( less @ SV28 @ SV37 )
| ( less @ ( vmul @ SV28 @ SV13 ) @ ( vmul @ SV37 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV14: $i,SV38: $i,SV29: $i] :
( ( ~ ( greater @ SV29 @ SV38 )
| ( greater @ ( vmul @ SV29 @ SV14 ) @ ( vmul @ SV38 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV30: $i,SV15: $i] :
( ( ( ~ ( greater @ SV15 @ SV30 ) )
= $true )
| ( ( less @ SV30 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(123,plain,
! [SV39: $i,SV31: $i,SV16: $i] :
( ( ( ( vmul @ SV16 @ SV31 )
!= ( vmul @ SV39 @ SV31 ) )
| ( SV16 = SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV20: $i,SV5: $i] :
( ( ( SV5 = SV20 )
= $true )
| ( ( greater @ SV5 @ SV20 )
= $true )
| ( ( less @ SV5 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV21: $i,SV6: $i] :
( ( ( greater @ SV6 @ SV21 )
= $false )
| ( ( ~ ( less @ SV6 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ( ~ ( greater @ SV22 @ SV7 )
| ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(127,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ( ~ ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) )
| ( greater @ SV22 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV23: $i,SV8: $i] :
( ( ( SV8 = SV23 )
= $false )
| ( ( ~ ( greater @ SV8 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV34: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( greater @ ( vmul @ SV9 @ SV24 ) @ ( vmul @ SV34 @ SV24 ) ) )
= $true )
| ( ( greater @ SV9 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV25: $i,SV10: $i] :
( ( ( less @ SV10 @ SV25 )
= $false )
| ( ( greater @ SV25 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV11: $i,SV35: $i,SV26: $i] :
( ( ( SV26 != SV35 )
= $true )
| ( ( ( vmul @ SV26 @ SV11 )
= ( vmul @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV36: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( less @ ( vmul @ SV12 @ SV27 ) @ ( vmul @ SV36 @ SV27 ) ) )
= $true )
| ( ( less @ SV12 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV13: $i,SV37: $i,SV28: $i] :
( ( ( ~ ( less @ SV28 @ SV37 ) )
= $true )
| ( ( less @ ( vmul @ SV28 @ SV13 ) @ ( vmul @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV14: $i,SV38: $i,SV29: $i] :
( ( ( ~ ( greater @ SV29 @ SV38 ) )
= $true )
| ( ( greater @ ( vmul @ SV29 @ SV14 ) @ ( vmul @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV30: $i,SV15: $i] :
( ( ( greater @ SV15 @ SV30 )
= $false )
| ( ( less @ SV30 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(136,plain,
! [SV39: $i,SV31: $i,SV16: $i] :
( ( ( ( vmul @ SV16 @ SV31 )
!= ( vmul @ SV39 @ SV31 ) )
= $true )
| ( ( SV16 = SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(137,plain,
! [SV21: $i,SV6: $i] :
( ( ( less @ SV6 @ SV21 )
= $false )
| ( ( greater @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(138,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ( greater @ SV22 @ SV7 )
| ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(139,plain,
! [SV7: $i,SV22: $i] :
( ( ~ ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) )
| ( greater @ SV22 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(140,plain,
! [SV23: $i,SV8: $i] :
( ( ( greater @ SV8 @ SV23 )
= $false )
| ( ( SV8 = SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(141,plain,
! [SV34: $i,SV24: $i,SV9: $i] :
( ( ( greater @ ( vmul @ SV9 @ SV24 ) @ ( vmul @ SV34 @ SV24 ) )
= $false )
| ( ( greater @ SV9 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(142,plain,
! [SV11: $i,SV35: $i,SV26: $i] :
( ( ( SV26 = SV35 )
= $false )
| ( ( ( vmul @ SV26 @ SV11 )
= ( vmul @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV36: $i,SV27: $i,SV12: $i] :
( ( ( less @ ( vmul @ SV12 @ SV27 ) @ ( vmul @ SV36 @ SV27 ) )
= $false )
| ( ( less @ SV12 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV13: $i,SV37: $i,SV28: $i] :
( ( ( less @ SV28 @ SV37 )
= $false )
| ( ( less @ ( vmul @ SV28 @ SV13 ) @ ( vmul @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(145,plain,
! [SV14: $i,SV38: $i,SV29: $i] :
( ( ( greater @ SV29 @ SV38 )
= $false )
| ( ( greater @ ( vmul @ SV29 @ SV14 ) @ ( vmul @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV39: $i,SV31: $i,SV16: $i] :
( ( ( ( vmul @ SV16 @ SV31 )
= ( vmul @ SV39 @ SV31 ) )
= $false )
| ( ( SV16 = SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ( greater @ SV22 @ SV7 ) )
= $true )
| ( ( ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) ) )
= $true )
| ( ( greater @ SV22 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV7: $i,SV22: $i] :
( ( ( greater @ SV22 @ SV7 )
= $false )
| ( ( ~ ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(150,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) ) )
= $false )
| ( ( greater @ SV22 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(151,plain,
! [SV7: $i,SV22: $i] :
( ( ( ! [SY67: $i] :
( SV22
!= ( vplus @ SV7 @ SY67 ) ) )
= $false )
| ( ( greater @ SV22 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(152,plain,
! [SV7: $i,SV22: $i] :
( ( ( ! [SY68: $i] :
( SV22
!= ( vplus @ SV7 @ SY68 ) ) )
= $true )
| ( ( greater @ SV22 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(153,plain,
! [SV7: $i,SV22: $i] :
( ( ( SV22
!= ( vplus @ SV7 @ ( sK1_SY67 @ SV7 @ SV22 ) ) )
= $false )
| ( ( greater @ SV22 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(154,plain,
! [SV40: $i,SV7: $i,SV22: $i] :
( ( ( SV22
!= ( vplus @ SV7 @ SV40 ) )
= $true )
| ( ( greater @ SV22 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(155,plain,
! [SV7: $i,SV22: $i] :
( ( ( SV22
= ( vplus @ SV7 @ ( sK1_SY67 @ SV7 @ SV22 ) ) )
= $true )
| ( ( greater @ SV22 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(156,plain,
! [SV40: $i,SV7: $i,SV22: $i] :
( ( ( SV22
= ( vplus @ SV7 @ SV40 ) )
= $false )
| ( ( greater @ SV22 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(157,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,156,155,146,145,144,143,142,141,140,137,135,130,124,111,110,97,84,81,50]) ).
thf(158,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Oct 6 13:45:44 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.74/1.99
% 9.74/1.99 No.of.Axioms: 18
% 9.74/1.99
% 9.74/1.99 Length.of.Defs: 0
% 9.74/1.99
% 9.74/1.99 Contains.Choice.Funs: false
% 9.74/1.99 ....
% 9.74/1.99
% 9.74/1.99 ********************************
% 9.74/1.99 * All subproblems solved! *
% 9.74/1.99 ********************************
% 9.74/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:157,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.74/1.99
% 9.74/1.99 %**** Beginning of derivation protocol ****
% 9.74/1.99 % SZS output start CNFRefutation
% See solution above
% 9.74/1.99
% 9.74/1.99 %**** End of derivation protocol ****
% 9.74/1.99 %**** no. of clauses in derivation: 150 ****
% 9.74/1.99 %**** clause counter: 157 ****
% 9.74/1.99
% 9.74/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:157,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------