%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUN025^2 : TPTP v9.3.1. Released v6.4.0.
% 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 : n026.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 10:35:55 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 68 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 352 ( 214 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 542 ( 116 ~; 61 |; 21 &; 331 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 146 ( 0 ^; 140 !; 6 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_h,type,
h: $i > $i ).
thf(tp_ite,type,
ite: $o > $i > $i > $i ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,conjecture,
( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
=> ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n10) ).
thf(2,negated_conjecture,
( ( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
=> ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
=> ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [X: $i] :
( ( s @ X )
!= X ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [X: $i] :
( ( s @ X )
!= X ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
( ( ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(13,plain,
( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(14,plain,
( ( ~ ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ~ ~ ! [SX0: $i > $i] :
~ ~ ( ~ ~ ( ( ( SX0 @ zero )
!= ( s @ zero ) )
| ( ( SX0 @ ( s @ zero ) )
!= zero ) )
| ( ( SX0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: $o,SX1: $i,SX2: $i] :
( ~ SX0
| ( ( ite @ SX0 @ SX1 @ SX2 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: $o,SX1: $i,SX2: $i] :
( ~ ~ SX0
| ( ( ite @ SX0 @ SX1 @ SX2 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: $i] :
( ( s @ SX0 )
!= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(19,plain,
! [SV1: $i] :
( ( ( h @ SV1 )
= ( ite
@ ( SV1
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ ! [SX0: $i > $i] :
~ ~ ( ~ ~ ( ( ( SX0 @ zero )
!= ( s @ zero ) )
| ( ( SX0 @ ( s @ zero ) )
!= zero ) )
| ( ( SX0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: $o] :
( ( ! [SY9: $i,SY10: $i] :
( ~ SV2
| ( ( ite @ SV2 @ SY9 @ SY10 )
= SY9 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[16]) ).
thf(22,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ $true
| ( ( ite @ $true @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ $false
| ( ( ite @ $false @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[16]) ).
thf(24,plain,
! [SV3: $o] :
( ( ! [SY11: $i,SY12: $i] :
( ~ ~ SV3
| ( ( ite @ SV3 @ SY11 @ SY12 )
= SY12 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[17]) ).
thf(25,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ $true
| ( ( ite @ $true @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ $false
| ( ( ite @ $false @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[17]) ).
thf(27,plain,
! [SV4: $i] :
( ( ( s @ SV4 )
!= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(28,plain,
( ( ! [SX0: $i > $i] :
~ ~ ( ~ ~ ( ( ( SX0 @ zero )
!= ( s @ zero ) )
| ( ( SX0 @ ( s @ zero ) )
!= zero ) )
| ( ( SX0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(29,plain,
! [SV5: $i,SV2: $o] :
( ( ! [SY13: $i] :
( ~ SV2
| ( ( ite @ SV2 @ SV5 @ SY13 )
= SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV6: $i] :
( ( ! [SY14: $i] :
( ~ $true
| ( ( ite @ $true @ SV6 @ SY14 )
= SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(31,plain,
! [SV7: $i] :
( ( ! [SY15: $i] :
( ~ $false
| ( ( ite @ $false @ SV7 @ SY15 )
= SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(32,plain,
! [SV8: $i,SV3: $o] :
( ( ! [SY16: $i] :
( ~ ~ SV3
| ( ( ite @ SV3 @ SV8 @ SY16 )
= SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(33,plain,
! [SV9: $i] :
( ( ! [SY17: $i] :
( ~ ~ $true
| ( ( ite @ $true @ SV9 @ SY17 )
= SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(34,plain,
! [SV10: $i] :
( ( ! [SY18: $i] :
( ~ ~ $false
| ( ( ite @ $false @ SV10 @ SY18 )
= SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV4: $i] :
( ( ( s @ SV4 )
= SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(36,plain,
! [SV11: $i > $i] :
( ( ~ ~ ( ~ ~ ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) )
| ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(37,plain,
! [SV12: $i,SV5: $i,SV2: $o] :
( ( ~ SV2
| ( ( ite @ SV2 @ SV5 @ SV12 )
= SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV13: $i,SV6: $i] :
( ( ~ $true
| ( ( ite @ $true @ SV6 @ SV13 )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV14: $i,SV7: $i] :
( ( ~ $false
| ( ( ite @ $false @ SV7 @ SV14 )
= SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(40,plain,
! [SV15: $i,SV8: $i,SV3: $o] :
( ( ~ ~ SV3
| ( ( ite @ SV3 @ SV8 @ SV15 )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV16: $i,SV9: $i] :
( ( ~ ~ $true
| ( ( ite @ $true @ SV9 @ SV16 )
= SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV17: $i,SV10: $i] :
( ( ~ ~ $false
| ( ( ite @ $false @ SV10 @ SV17 )
= SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV11: $i > $i] :
( ( ~ ( ~ ~ ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) )
| ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV12: $i,SV5: $i,SV2: $o] :
( ( ( ~ SV2 ) = $true )
| ( ( ( ite @ SV2 @ SV5 @ SV12 )
= SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( ite @ $true @ SV6 @ SV13 )
= SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ $false ) = $true )
| ( ( ( ite @ $false @ SV7 @ SV14 )
= SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV15: $i,SV8: $i,SV3: $o] :
( ( ( ~ ~ SV3 )
= $true )
| ( ( ( ite @ SV3 @ SV8 @ SV15 )
= SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV16: $i,SV9: $i] :
( ( ( ~ ~ $true )
= $true )
| ( ( ( ite @ $true @ SV9 @ SV16 )
= SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ~ $false )
= $true )
| ( ( ( ite @ $false @ SV10 @ SV17 )
= SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV11: $i > $i] :
( ( ~ ~ ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) )
| ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(51,plain,
! [SV12: $i,SV5: $i,SV2: $o] :
( ( SV2 = $false )
| ( ( ( ite @ SV2 @ SV5 @ SV12 )
= SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV13: $i,SV6: $i] :
( ( $true = $false )
| ( ( ( ite @ $true @ SV6 @ SV13 )
= SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV14: $i,SV7: $i] :
( ( $false = $false )
| ( ( ( ite @ $false @ SV7 @ SV14 )
= SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV15: $i,SV8: $i,SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( ( ( ite @ SV3 @ SV8 @ SV15 )
= SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV16: $i,SV9: $i] :
( ( ( ~ $true ) = $false )
| ( ( ( ite @ $true @ SV9 @ SV16 )
= SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ $false ) = $false )
| ( ( ( ite @ $false @ SV10 @ SV17 )
= SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) ) )
= $true )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV15: $i,SV8: $i,SV3: $o] :
( ( SV3 = $true )
| ( ( ( ite @ SV3 @ SV8 @ SV15 )
= SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV16: $i,SV9: $i] :
( ( $true = $true )
| ( ( ( ite @ $true @ SV9 @ SV16 )
= SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV17: $i,SV10: $i] :
( ( $false = $true )
| ( ( ( ite @ $false @ SV10 @ SV17 )
= SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) ) )
= $false )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV11: $i > $i] :
( ( ( ( ( SV11 @ zero )
!= ( s @ zero ) )
| ( ( SV11 @ ( s @ zero ) )
!= zero ) )
= $true )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(63,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ zero )
!= ( s @ zero ) )
= $true )
| ( ( ( SV11 @ ( s @ zero ) )
!= zero )
= $true )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ zero )
= ( s @ zero ) )
= $false )
| ( ( ( SV11 @ ( s @ zero ) )
!= zero )
= $true )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ ( s @ zero ) )
= zero )
= $false )
| ( ( ( SV11 @ zero )
= ( s @ zero ) )
= $false )
| ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(66,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) )
= $false )
| ( ( ( SV11 @ zero )
= ( s @ zero ) )
= $false )
| ( ( ( SV11 @ ( s @ zero ) )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(67,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,66,60,59,58,53,52,51,35]) ).
thf(68,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN025^2 : TPTP v9.3.1. Released v6.4.0.
% 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
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 13:49:02 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.23
% 0.08/0.23 No.of.Axioms: 0
% 0.08/0.23
% 0.08/0.23 Length.of.Defs: 0
% 0.08/0.23
% 0.08/0.23 Contains.Choice.Funs: false
% 0.08/0.23 .
% 0.08/0.23
% 0.08/0.23 ********************************
% 0.08/0.23 * All subproblems solved! *
% 0.08/0.23 ********************************
% 0.08/0.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.23
% 0.08/0.23 %**** Beginning of derivation protocol ****
% 0.08/0.23 % SZS output start CNFRefutation
% See solution above
% 0.08/0.23
% 0.08/0.23 %**** End of derivation protocol ****
% 0.08/0.23 %**** no. of clauses in derivation: 68 ****
% 0.08/0.23 %**** clause counter: 67 ****
% 0.08/0.23
% 0.08/0.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------