%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM457+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n017.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 10:33:49 AM UTC 2026
% Result : Theorem 0.09s 0.22s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 100 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 744 ( 346 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 1117 ( 221 ~; 216 |; 21 &; 632 @)
% ( 0 <=>; 27 =>; 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 : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 177 ( 0 ^; 177 !; 0 ?; 177 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
thf(tp_sdtasdt0,type,
sdtasdt0: $i > $i > $i ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_sz10,type,
sz10: $i ).
thf(tp_xm,type,
xm: $i ).
thf(tp_xn,type,
xn: $i ).
thf(2,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
thf(5,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
thf(7,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
thf(8,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
thf(12,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
thf(15,axiom,
aNaturalNumber0 @ sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
thf(17,axiom,
( ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__624) ).
thf(18,conjecture,
( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
=> ( ( xm = sz00 )
| ( xn = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(19,negated_conjecture,
( ( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
=> ( ( xm = sz00 )
| ( xn = sz00 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,plain,
( ( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
=> ( ( xm = sz00 )
| ( xn = sz00 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(26,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(27,plain,
( ( ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(28,plain,
( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
= $true ),
inference(standard_cnf,[status(thm)],[20]) ).
thf(29,plain,
( ( ( xm = sz00 )
| ( xn = sz00 ) )
= $false ),
inference(standard_cnf,[status(thm)],[20]) ).
thf(30,plain,
( ( ~ ( ( xm = sz00 )
| ( xn = sz00 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(31,plain,
( ( ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(32,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(34,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(35,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(36,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(37,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(38,plain,
( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(39,plain,
( ( ~ ( ( xm = sz00 )
| ( xn = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(40,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX2 ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ SX2 )
= ( sdtasdt0 @ SX0 @ ( sdtasdt0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ( ( sdtasdt0 @ SX0 @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ( SX0 != sz00 ) )
| ! [SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 ) )
| ~ ( ( ( sdtasdt0 @ SX0 @ SX1 )
= ( sdtasdt0 @ SX0 @ SX2 ) )
| ( ( sdtasdt0 @ SX1 @ SX0 )
= ( sdtasdt0 @ SX2 @ SX0 ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(44,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( ( sdtasdt0 @ SX0 @ SX1 )
= ( sdtasdt0 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(45,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(46,plain,
( ( ( xm = sz00 )
| ( xn = sz00 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV1: $i] :
( ( ! [SY11: $i,SY12: $i] :
( ~ ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SY11 ) )
| ~ ( aNaturalNumber0 @ SY12 ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SY11 ) @ SY12 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SY11 @ SY12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV2: $i] :
( ( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( ( ( sdtasdt0 @ SV2 @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV3: $i] :
( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( ( SV3 != sz00 ) )
| ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV4: $i] :
( ( ! [SY15: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SY15 ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV5: $i] :
( ( ! [SY16: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SY16 ) )
| ( ( sdtasdt0 @ SV5 @ SY16 )
= ( sdtasdt0 @ SY16 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
( ( xm = sz00 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( xn = sz00 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(55,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY17: $i] :
( ~ ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
| ~ ( aNaturalNumber0 @ SY17 ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SY17 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV2 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 ) )
= $true )
| ( ( ~ ( ( SV3 != sz00 ) )
| ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV7 ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV8: $i,SV5: $i] :
( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV8 ) )
| ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
| ~ ( aNaturalNumber0 @ SV9 ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( aNaturalNumber0 @ SV2 )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV3: $i] :
( ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( ~ ( ( SV3 != sz00 ) )
| ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV7 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV8 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(67,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
| ~ ( aNaturalNumber0 @ SV9 ) ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV2: $i] :
( ( ( ( ( sdtasdt0 @ SV2 @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ SV2 ) ) )
= $false )
| ( ( aNaturalNumber0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3 != sz00 ) ) )
= $true )
| ( ( ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV7 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV8 ) ) )
= $false )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
| ~ ( aNaturalNumber0 @ SV9 ) ) )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV2: $i] :
( ( ( ( sdtasdt0 @ SV2 @ sz00 )
!= sz00 )
= $false )
| ( ( aNaturalNumber0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( sz00
!= ( sdtasdt0 @ sz00 @ SV2 ) )
= $false )
| ( ( aNaturalNumber0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV3: $i] :
( ( ( SV3 != sz00 )
= $false )
| ( ( ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV7 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(79,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV8 ) )
= $true )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
| ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
! [SV2: $i] :
( ( ( ( sdtasdt0 @ SV2 @ sz00 )
= sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
! [SV2: $i] :
( ( ( sz00
= ( sdtasdt0 @ sz00 @ SV2 ) )
= $true )
| ( ( aNaturalNumber0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV3: $i] :
( ( ( SV3 = sz00 )
= $true )
| ( ( ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SY13 )
| ~ ( aNaturalNumber0 @ SY14 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SY13 )
= ( sdtasdt0 @ SV3 @ SY14 ) )
| ( ( sdtasdt0 @ SY13 @ SV3 )
= ( sdtasdt0 @ SY14 @ SV3 ) ) )
| ( SY13 = SY14 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV7 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV5 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV8 ) )
= $true )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV3: $i,SV10: $i] :
( ( ( ! [SY18: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SY18 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SY18 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SY18 @ SV3 ) ) )
| ( SV10 = SY18 ) ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV7: $i,SV4: $i] :
( ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV7 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV8: $i,SV5: $i] :
( ( ( aNaturalNumber0 @ SV5 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV8 ) )
= $true )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV11 ) )
| ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(92,plain,
! [SV4: $i,SV7: $i] :
( ( ( aNaturalNumber0 @ SV7 )
= $false )
| ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV4 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV5: $i,SV8: $i] :
( ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( aNaturalNumber0 @ SV5 )
= $false )
| ( ( ( sdtasdt0 @ SV5 @ SV8 )
= ( sdtasdt0 @ SV8 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV1 )
| ~ ( aNaturalNumber0 @ SV6 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV11 ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV1 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV6 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV11 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(98,plain,
! [SV9: $i,SV6: $i,SV1: $i] :
( ( ( aNaturalNumber0 @ SV1 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV6 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV11 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(100,plain,
! [SV9: $i,SV1: $i,SV6: $i] :
( ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( aNaturalNumber0 @ SV1 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(101,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV10 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV11 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(102,plain,
! [SV6: $i,SV1: $i,SV9: $i] :
( ( ( aNaturalNumber0 @ SV9 )
= $false )
| ( ( aNaturalNumber0 @ SV1 )
= $false )
| ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV1 @ SV6 ) @ SV9 )
= ( sdtasdt0 @ SV1 @ ( sdtasdt0 @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV3: $i,SV11: $i,SV10: $i] :
( ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV11 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV3: $i,SV10: $i,SV11: $i] :
( ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
| ( SV10 = SV11 ) )
= $true )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(105,plain,
! [SV11: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) ) )
= $true )
| ( ( SV10 = SV11 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(106,plain,
! [SV11: $i,SV10: $i,SV3: $i] :
( ( ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
| ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) ) )
= $false )
| ( ( SV10 = SV11 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(107,plain,
! [SV11: $i,SV10: $i,SV3: $i] :
( ( ( ( sdtasdt0 @ SV3 @ SV10 )
= ( sdtasdt0 @ SV3 @ SV11 ) )
= $false )
| ( ( SV10 = SV11 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(108,plain,
! [SV11: $i,SV3: $i,SV10: $i] :
( ( ( ( sdtasdt0 @ SV10 @ SV3 )
= ( sdtasdt0 @ SV11 @ SV3 ) )
= $false )
| ( ( SV10 = SV11 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( SV3 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(109,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,108,107,102,93,92,82,81,68,67,54,53,38]) ).
thf(110,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM457+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n017.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 13:12:00 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.22
% 0.09/0.22 No.of.Axioms: 7
% 0.09/0.22
% 0.09/0.22 Length.of.Defs: 0
% 0.09/0.22
% 0.09/0.22 Contains.Choice.Funs: false
% 0.09/0.22 ..
% 0.09/0.22
% 0.09/0.22 ********************************
% 0.09/0.22 * All subproblems solved! *
% 0.09/0.22 ********************************
% 0.09/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,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:109,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.22
% 0.09/0.22 %**** Beginning of derivation protocol ****
% 0.09/0.22 % SZS output start CNFRefutation
% See solution above
% 0.09/0.22
% 0.09/0.22 %**** End of derivation protocol ****
% 0.09/0.22 %**** no. of clauses in derivation: 100 ****
% 0.09/0.22 %**** clause counter: 109 ****
% 0.09/0.22
% 0.09/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,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:109,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------