%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU811^2 : TPTP v9.3.1. Released v3.7.0.
% 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 10:48:39 AM UTC 2026
% Result : Theorem 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 114 ( 45 unt; 0 typ; 5 def)
% Number of atoms : 958 ( 381 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 1212 ( 209 ~; 307 |; 0 &; 630 @)
% ( 4 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 339 ( 1 ^; 338 !; 0 ?; 339 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_notinself2,type,
notinself2: $o ).
thf(tp_omega,type,
omega: $i ).
thf(tp_omegaS,type,
omegaS: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY24,type,
sK2_SY24: $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setadjoinE,type,
setadjoinE: $o ).
thf(tp_setadjoinIL,type,
setadjoinIL: $o ).
thf(in__Cong,definition,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in__Cong) ).
thf(notinself2,definition,
( notinself2
= ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself2) ).
thf(omegaS,definition,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaS) ).
thf(setadjoinE,definition,
( setadjoinE
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(1,conjecture,
( setadjoinIL
=> ( setadjoinE
=> ( in__Cong
=> ( notinself2
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ! [Xy: $i] :
( ( in @ Xy @ omega )
=> ( ( ( omegaS @ Xx )
= ( omegaS @ Xy ) )
=> ( Xx = Xy ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peanoSinj) ).
thf(2,negated_conjecture,
( ( setadjoinIL
=> ( setadjoinE
=> ( in__Cong
=> ( notinself2
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ! [Xy: $i] :
( ( in @ Xy @ omega )
=> ( ( ( omegaS @ Xx )
= ( omegaS @ Xy ) )
=> ( Xx = Xy ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) )
=> ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ! [SY1: $i] :
( ( in @ SY1 @ omega )
=> ( ( ( setadjoin @ SY0 @ SY0 )
= ( setadjoin @ SY1 @ SY1 ) )
=> ( SY0 = SY1 ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,in__Cong,notinself2,omegaS,setadjoinE,setadjoinIL]) ).
thf(4,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ! [SY1: $i] :
( ( in @ SY1 @ omega )
=> ( ( ( setadjoin @ SY0 @ SY0 )
= ( setadjoin @ SY1 @ SY1 ) )
=> ( SY0 = SY1 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ! [SY1: $i] :
( ( in @ SY1 @ omega )
=> ( ( ( setadjoin @ SY0 @ SY0 )
= ( setadjoin @ SY1 @ SY1 ) )
=> ( SY0 = SY1 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(13,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(14,plain,
( ( ~ ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ! [SY1: $i] :
( ( in @ SY1 @ omega )
=> ( ( ( setadjoin @ SY0 @ SY0 )
= ( setadjoin @ SY1 @ SY1 ) )
=> ( SY0 = SY1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ omega )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ omega )
| ( ( setadjoin @ SX0 @ SX0 )
!= ( setadjoin @ SX1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,in__Cong,notinself2,omegaS,setadjoinE,setadjoinIL]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ! [SX3: $o] :
( ~ ( ( SX2 != SX0 )
| SX3 )
| ~ ( ~ ( in @ SX2 @ SX1 )
| SX3 )
| SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,in__Cong,notinself2,omegaS,setadjoinE,setadjoinIL]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( ~ ( ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ( ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,in__Cong,notinself2,omegaS,setadjoinE,setadjoinIL]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,in__Cong,notinself2,omegaS,setadjoinE,setadjoinIL]) ).
thf(19,plain,
! [SV1: $i] :
( ( ! [SY16: $i] : ( in @ SV1 @ ( setadjoin @ SV1 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ omega )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ omega )
| ( ( setadjoin @ SX0 @ SX0 )
!= ( setadjoin @ SX1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ( in @ SY18 @ ( setadjoin @ SV2 @ SY17 ) )
| ! [SY19: $o] :
( ~ ( ( SY18 != SV2 )
| SY19 )
| ~ ( ~ ( in @ SY18 @ SY17 )
| SY19 )
| SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV3: $i] :
( ( ! [SY20: $i] :
( ( SV3 != SY20 )
| ! [SY21: $i,SY22: $i] :
( ( SY21 != SY22 )
| ~ ( ~ ( ~ ( in @ SY21 @ SV3 )
| ( in @ SY22 @ SY20 ) )
| ~ ( ~ ( in @ SY22 @ SY20 )
| ( in @ SY21 @ SV3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV4: $i] :
( ( ! [SY23: $i] :
( ~ ( in @ SV4 @ SY23 )
| ~ ( in @ SY23 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
! [SV5: $i,SV1: $i] :
( ( in @ SV1 @ ( setadjoin @ SV1 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(25,plain,
( ( ~ ( in @ sK1_SX0 @ omega )
| ! [SY24: $i] :
( ~ ( in @ SY24 @ omega )
| ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
!= ( setadjoin @ SY24 @ SY24 ) )
| ( sK1_SX0 = SY24 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(26,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY25: $i] :
( ~ ( in @ SY25 @ ( setadjoin @ SV2 @ SV6 ) )
| ! [SY26: $o] :
( ~ ( ( SY25 != SV2 )
| SY26 )
| ~ ( ~ ( in @ SY25 @ SV6 )
| SY26 )
| SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 != SV7 )
| ! [SY27: $i,SY28: $i] :
( ( SY27 != SY28 )
| ~ ( ~ ( ~ ( in @ SY27 @ SV3 )
| ( in @ SY28 @ SV7 ) )
| ~ ( ~ ( in @ SY28 @ SV7 )
| ( in @ SY27 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( in @ SV4 @ SV8 )
| ~ ( in @ SV8 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( in @ sK1_SX0 @ omega ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [SY24: $i] :
( ~ ( in @ SY24 @ omega )
| ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
!= ( setadjoin @ SY24 @ SY24 ) )
| ( sK1_SX0 = SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ~ ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
| ! [SY29: $o] :
( ~ ( ( SV9 != SV2 )
| SY29 )
| ~ ( ~ ( in @ SV9 @ SV6 )
| SY29 )
| SY29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 != SV7 )
= $true )
| ( ( ! [SY27: $i,SY28: $i] :
( ( SY27 != SY28 )
| ~ ( ~ ( ~ ( in @ SY27 @ SV3 )
| ( in @ SY28 @ SV7 ) )
| ~ ( ~ ( in @ SY28 @ SV7 )
| ( in @ SY27 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( in @ SV4 @ SV8 ) )
= $true )
| ( ( ~ ( in @ SV8 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( in @ sK1_SX0 @ omega )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( in @ sK2_SY24 @ omega )
| ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
!= ( setadjoin @ sK2_SY24 @ sK2_SY24 ) )
| ( sK1_SX0 = sK2_SY24 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(36,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) ) )
= $true )
| ( ( ! [SY29: $o] :
( ~ ( ( SV9 != SV2 )
| SY29 )
| ~ ( ~ ( in @ SV9 @ SV6 )
| SY29 )
| SY29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 = SV7 )
= $false )
| ( ( ! [SY27: $i,SY28: $i] :
( ( SY27 != SY28 )
| ~ ( ~ ( ~ ( in @ SY27 @ SV3 )
| ( in @ SY28 @ SV7 ) )
| ~ ( ~ ( in @ SY28 @ SV7 )
| ( in @ SY27 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV8: $i,SV4: $i] :
( ( ( in @ SV4 @ SV8 )
= $false )
| ( ( ~ ( in @ SV8 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ( in @ sK2_SY24 @ omega ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
!= ( setadjoin @ sK2_SY24 @ sK2_SY24 ) )
| ( sK1_SX0 = sK2_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false )
| ( ( ! [SY29: $o] :
( ~ ( ( SV9 != SV2 )
| SY29 )
| ~ ( ~ ( in @ SV9 @ SV6 )
| SY29 )
| SY29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( ! [SY30: $i] :
( ( SV10 != SY30 )
| ~ ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SY30 @ SV7 ) )
| ~ ( ~ ( in @ SY30 @ SV7 )
| ( in @ SV10 @ SV3 ) ) ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV4: $i,SV8: $i] :
( ( ( in @ SV8 @ SV4 )
= $false )
| ( ( in @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( in @ sK2_SY24 @ omega )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
!= ( setadjoin @ sK2_SY24 @ sK2_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( sK1_SX0 = sK2_SY24 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
! [SV6: $i,SV11: $o,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| SV11 )
| ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| $true )
| ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| $false )
| ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( ( SV10 != SV12 )
| ~ ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
| ~ ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ( setadjoin @ sK1_SX0 @ sK1_SX0 )
= ( setadjoin @ sK2_SY24 @ sK2_SY24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV6: $i,SV11: $o,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| SV11 ) )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV2 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( SV10 != SV12 )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
| ~ ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV6: $i,SV11: $o,SV2: $i,SV9: $i] :
( ( ( ( SV9 != SV2 )
| SV11 )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ( SV9 != SV2 )
| $true )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( ( SV9 != SV2 )
| $false )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( SV10 = SV12 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
| ~ ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV11: $o,SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 != SV2 )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV2: $i,SV6: $i,SV9: $i,SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 != SV2 )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 != SV2 )
= $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( $false = $false )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
| ~ ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV11: $o,SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 = SV2 )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 )
| SV11 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 ) )
= $true )
| ( SV11 = $true )
| ( SV11 = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 = SV2 )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true )
| $true )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true ) )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( ( SV9 = SV2 )
= $true )
| ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false )
| $false )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false ) )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(74,plain,
! [SV3: $i,SV10: $i,SV7: $i,SV12: $i] :
( ( ( ~ ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| SV11 ) )
= $true )
| ( SV11 = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| SV11 )
= $false )
| ( SV11 = $true )
| ( SV11 = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $true ) )
= $true )
| ( $true = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| $true )
= $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ SV6 )
| $false ) )
= $true )
| ( $false = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV3: $i,SV10: $i,SV7: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV7 )
| ( in @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| SV11 )
= $false )
| ( SV11 = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( SV11 = $true )
| ( SV11 = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV6: $i,SV2: $i,SV9: $i,SV11: $o] :
( ( SV11 = $false )
| ( SV11 = $true )
| ( SV11 = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(86,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| $true )
= $false )
| ( $true = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(87,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(88,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( $true = $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 )
| $false )
= $false )
| ( $false = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(91,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV3 ) )
= $true )
| ( ( in @ SV12 @ SV7 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV3: $i,SV10: $i,SV7: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV7 ) )
= $true )
| ( ( in @ SV10 @ SV3 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( SV11 = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(95,plain,
! [SV6: $i,SV2: $i,SV9: $i,SV11: $o] :
( ( SV11 = $false )
| ( SV11 = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(96,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( SV11 = $true )
| ( SV11 = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( $true = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(98,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(99,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(100,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV6 ) )
= $false )
| ( $false = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(101,plain,
! [SV6: $i,SV2: $i,SV9: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(103,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( in @ SV10 @ SV3 )
= $false )
| ( ( in @ SV12 @ SV7 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV3: $i,SV10: $i,SV7: $i,SV12: $i] :
( ( ( in @ SV12 @ SV7 )
= $false )
| ( ( in @ SV10 @ SV3 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV2: $i,SV11: $o,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( SV11 = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(106,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( $true = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(107,plain,
! [SV2: $i,SV6: $i,SV9: $i] :
( ( ( in @ SV9 @ SV6 )
= $true )
| ( $false = $true )
| ( ( SV9 = SV2 )
= $true )
| ( ( in @ SV9 @ ( setadjoin @ SV2 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,107,106,105,104,103,102,101,99,98,96,95,91,88,85,51,46,44,43,34]) ).
thf(109,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU811^2 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.09/0.20 % Computer : n017.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 15:31:00 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
% 0.09/0.29
% 0.09/0.29 No.of.Axioms: 0
% 0.09/0.29
% 0.09/0.29 Length.of.Defs: 902
% 0.09/0.29
% 0.09/0.29 Contains.Choice.Funs: false
% 0.09/0.29 ..
% 0.09/0.29
% 0.09/0.29 ********************************
% 0.09/0.29 * All subproblems solved! *
% 0.09/0.29 ********************************
% 0.09/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:108,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.29
% 0.09/0.29 %**** Beginning of derivation protocol ****
% 0.09/0.29 % SZS output start CNFRefutation
% See solution above
% 0.09/0.29
% 0.09/0.29 %**** End of derivation protocol ****
% 0.09/0.29 %**** no. of clauses in derivation: 109 ****
% 0.09/0.29 %**** clause counter: 108 ****
% 0.09/0.29
% 0.09/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------