%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS136+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n020.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 10:26:27 AM UTC 2026
% Result : Theorem 0.13s 0.27s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 135 ( 108 unt; 0 typ; 0 def)
% Number of atoms : 566 ( 155 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 632 ( 260 ~; 94 |; 12 &; 251 @)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 120 ( 0 ^; 120 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(2,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(3,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(4,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(9,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(10,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(11,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(12,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(13,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(14,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(17,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(18,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i] :
( ( ~ ( ~ ( cowlThing @ SV1 )
| ~ ~ ( cowlNothing @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
| ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(25,plain,
! [SV1: $i] :
( ( ~ ( cowlThing @ SV1 )
| ~ ~ ( cowlNothing @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i] :
( ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
| ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: $i] :
( ( ~ ( cowlThing @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV1: $i] :
( ( ~ ~ ( cowlNothing @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: $i] :
( ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( cowlThing @ SV1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: $i] :
( ( ~ ( cowlNothing @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i] :
( ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV2: $i] :
( ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: $i] :
( ( cowlNothing @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i] :
( ( ( ~ ( xsd_string @ SV2 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i] :
( ( ( ~ ~ ( xsd_integer @ SV2 ) )
= $true )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i] :
( ( ( xsd_string @ SV2 )
= $false )
| ( ( ~ ( xsd_integer @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( ~ ( xsd_integer @ SV2 ) )
= $false )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
= $false )
| ( ( xsd_string @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
= $true )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,41,40,35,31]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(45,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(46,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(47,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(48,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV3: $i] :
( ( ~ ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV4: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
| ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(51,plain,
( ( ~ ( cowlNothing @ sK2_X ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(52,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV4: $i] :
( ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
| ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(54,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV3: $i] :
( ( ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV4: $i] :
( ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV3: $i] :
( ( cowlThing @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV3: $i] :
( ( ~ ( cowlNothing @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV4: $i] :
( ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV4: $i] :
( ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV3: $i] :
( ( cowlNothing @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(64,plain,
! [SV4: $i] :
( ( ( ~ ( xsd_string @ SV4 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV4: $i] :
( ( ( ~ ~ ( xsd_integer @ SV4 ) )
= $true )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(66,plain,
! [SV4: $i] :
( ( ( xsd_string @ SV4 )
= $false )
| ( ( ~ ( xsd_integer @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV4: $i] :
( ( ( ~ ( xsd_integer @ SV4 ) )
= $false )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV4: $i] :
( ( ( xsd_integer @ SV4 )
= $false )
| ( ( xsd_string @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(69,plain,
! [SV4: $i] :
( ( ( xsd_integer @ SV4 )
= $true )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(70,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[54,69,68,63,59]) ).
thf(71,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(72,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(73,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(74,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(75,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(76,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(77,plain,
! [SV5: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV5 )
| ~ ( xsd_integer @ SV5 ) )
| ~ ( ~ ~ ( xsd_integer @ SV5 )
| ( xsd_string @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(78,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV6: $i] :
( ( ~ ( ~ ( cowlThing @ SV6 )
| ~ ~ ( cowlNothing @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV5: $i] :
( ( ~ ( ~ ( xsd_string @ SV5 )
| ~ ( xsd_integer @ SV5 ) )
| ~ ( ~ ~ ( xsd_integer @ SV5 )
| ( xsd_string @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
( ( ~ ( xsd_string @ sK3_SX0 )
| ~ ( xsd_integer @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[78]) ).
thf(82,plain,
! [SV6: $i] :
( ( ~ ( cowlThing @ SV6 )
| ~ ~ ( cowlNothing @ SV6 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV5: $i] :
( ( ~ ( ~ ( xsd_string @ SV5 )
| ~ ( xsd_integer @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(84,plain,
! [SV5: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV5 )
| ( xsd_string @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(85,plain,
( ( ~ ( xsd_string @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(86,plain,
( ( ~ ( xsd_integer @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
! [SV6: $i] :
( ( ~ ( cowlThing @ SV6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV6: $i] :
( ( ~ ~ ( cowlNothing @ SV6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV5: $i] :
( ( ~ ( xsd_string @ SV5 )
| ~ ( xsd_integer @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV5: $i] :
( ( ~ ~ ( xsd_integer @ SV5 )
| ( xsd_string @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(91,plain,
( ( xsd_string @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(92,plain,
( ( xsd_integer @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV6: $i] :
( ( cowlThing @ SV6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV6: $i] :
( ( ~ ( cowlNothing @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ( xsd_string @ SV5 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(96,plain,
! [SV5: $i] :
( ( ( ~ ~ ( xsd_integer @ SV5 ) )
= $true )
| ( ( xsd_string @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV6: $i] :
( ( cowlNothing @ SV6 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV5: $i] :
( ( ( xsd_string @ SV5 )
= $false )
| ( ( ~ ( xsd_integer @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV5: $i] :
( ( ( ~ ( xsd_integer @ SV5 ) )
= $false )
| ( ( xsd_string @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV5: $i] :
( ( ( xsd_integer @ SV5 )
= $false )
| ( ( xsd_string @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(101,plain,
! [SV5: $i] :
( ( ( xsd_integer @ SV5 )
= $true )
| ( ( xsd_string @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(102,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[91,101,100,97,93,92]) ).
thf(103,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(104,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(105,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(106,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(107,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(108,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(109,plain,
( ( ! [SX0: $i] :
( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV7: $i] :
( ( ~ ( ~ ( cowlThing @ SV7 )
| ~ ~ ( cowlNothing @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV8: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
| ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(112,plain,
( ( ~ ~ ( xsd_integer @ sK4_SX0 )
| ( xsd_string @ sK4_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(113,plain,
! [SV7: $i] :
( ( ~ ( cowlThing @ SV7 )
| ~ ~ ( cowlNothing @ SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV8: $i] :
( ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
| ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
( ( ~ ~ ( xsd_integer @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(116,plain,
( ( xsd_string @ sK4_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(117,plain,
! [SV7: $i] :
( ( ~ ( cowlThing @ SV7 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV7: $i] :
( ( ~ ~ ( cowlNothing @ SV7 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(119,plain,
! [SV8: $i] :
( ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(120,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(121,plain,
( ( ~ ( xsd_integer @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(122,plain,
! [SV7: $i] :
( ( cowlThing @ SV7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(123,plain,
! [SV7: $i] :
( ( ~ ( cowlNothing @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(124,plain,
! [SV8: $i] :
( ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(125,plain,
! [SV8: $i] :
( ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(126,plain,
( ( xsd_integer @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV7: $i] :
( ( cowlNothing @ SV7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV8: $i] :
( ( ( ~ ( xsd_string @ SV8 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV8: $i] :
( ( ( ~ ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV8: $i] :
( ( ( xsd_string @ SV8 )
= $false )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(131,plain,
! [SV8: $i] :
( ( ( ~ ( xsd_integer @ SV8 ) )
= $false )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(132,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $false )
| ( ( xsd_string @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $true )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(134,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[116,133,132,127,126,122]) ).
thf(135,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[134,42,70,102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS136+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.13/0.20 % Computer : n020.cluster.edu
% 0.13/0.20 % Model : x86_64 x86_64
% 0.13/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.20 % Memory : 8046.5625MB
% 0.13/0.20 % OS : Linux 6.8.0-71-generic
% 0.13/0.20 % CPULimit : 300
% 0.13/0.20 % WCLimit : 300
% 0.13/0.20 % DateTime : Tue Oct 6 11:42:51 UTC 2026
% 0.13/0.20 % CPUTime :
% 0.13/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.27
% 0.13/0.27 No.of.Axioms: 2
% 0.13/0.27
% 0.13/0.27 Length.of.Defs: 0
% 0.13/0.27
% 0.13/0.27 Contains.Choice.Funs: false
% 0.13/0.27 .
% 0.13/0.27
% 0.13/0.27 ********************************
% 0.13/0.27 * All subproblems solved! *
% 0.13/0.27 ********************************
% 0.13/0.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:134,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.27
% 0.13/0.27 %**** Beginning of derivation protocol ****
% 0.13/0.27 % SZS output start CNFRefutation
% See solution above
% 0.13/0.27
% 0.13/0.27 %**** End of derivation protocol ****
% 0.13/0.27 %**** no. of clauses in derivation: 135 ****
% 0.13/0.27 %**** clause counter: 134 ****
% 0.13/0.27
% 0.13/0.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:134,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------