TSTP Solution File: KRS168+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS168+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:15:49 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 233 ( 192 unt; 12 typ; 0 def)
% Number of atoms : 928 ( 243 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1022 ( 366 ~; 161 |; 44 &; 435 @)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 203 ( 0 ^ 203 !; 0 ?; 203 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $i > $o ).
thf(tp_cB,type,
cB: $i > $o ).
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_X,type,
sK3_X: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_sK5_X,type,
sK5_X: $i ).
thf(tp_sK6_X,type,
sK6_X: $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/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(2,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(3,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( ~ ( cB @ X )
& ~ ( cA @ X ) )
<=> ~ ( ( cA @ X )
| ( cB @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(4,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( ~ ( cB @ X )
& ~ ( cA @ X ) )
<=> ~ ( ( cA @ X )
| ( cB @ 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 ) )
& ! [X: $i] :
( ( ~ ( cB @ X )
& ~ ( cA @ X ) )
<=> ~ ( ( cA @ X )
| ( cB @ 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] :
( ( ~ ( cB @ X )
& ~ ( cA @ X ) )
=> ~ ( ( cA @ X )
| ( cB @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(13,plain,
( ( ! [X: $i] :
( ~ ( ( cA @ X )
| ( cB @ X ) )
=> ( ~ ( cB @ X )
& ~ ( cA @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(14,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(16,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(17,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(18,plain,
( ( ~ ! [X: $i] :
( ( ~ ( cB @ X )
& ~ ( cA @ X ) )
=> ~ ( ( cA @ X )
| ( cB @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(19,plain,
( ( ~ ! [X: $i] :
( ~ ( ( cA @ X )
| ( cB @ X ) )
=> ( ~ ( cB @ X )
& ~ ( cA @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(20,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(21,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(22,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(23,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(24,plain,
( ( ~ ( cB @ sK5_X )
& ~ ( cA @ sK5_X )
& ( ( cA @ sK5_X )
| ( cB @ sK5_X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(25,plain,
( ( ~ ( cA @ sK6_X )
& ~ ( cB @ sK6_X )
& ( ( cB @ sK6_X )
| ( cA @ sK6_X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(26,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(27,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(28,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(29,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(31,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(33,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: $i] :
( ( ~ ( xsd_string @ SV1 )
| ~ ( xsd_integer @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV3: $i] :
( ( cowlThing @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV4: $i] :
( ( ~ ( cowlNothing @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: $i] :
( ( ( ~ ( xsd_string @ SV1 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
= $true )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV4: $i] :
( ( cowlNothing @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV1: $i] :
( ( ( xsd_string @ SV1 )
= $false )
| ( ( ~ ( xsd_integer @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV1: $i] :
( ( ( xsd_integer @ SV1 )
= $false )
| ( ( xsd_string @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,52,50,49,46]) ).
thf(54,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(55,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(56,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(57,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(58,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(59,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(62,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV5: $i] :
( ( cowlThing @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV6: $i] :
( ( ~ ( cowlNothing @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV7: $i] :
( ( ~ ( xsd_string @ SV7 )
| ~ ( xsd_integer @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV6: $i] :
( ( cowlNothing @ SV6 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $true )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV7: $i] :
( ( ( xsd_string @ SV7 )
= $false )
| ( ( ~ ( xsd_integer @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV7: $i] :
( ( ( xsd_integer @ SV7 )
= $false )
| ( ( xsd_string @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(78,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[56,77,75,73,69]) ).
thf(79,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(80,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(81,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(82,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(83,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(84,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(85,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(87,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(89,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(90,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(91,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(95,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(96,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(97,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(98,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(99,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(100,plain,
! [SV9: $i] :
( ( cowlThing @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV10: $i] :
( ( ~ ( cowlNothing @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV11: $i] :
( ( ~ ( xsd_string @ SV11 )
| ~ ( xsd_integer @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV12: $i] :
( ( ( xsd_integer @ SV12 )
| ( xsd_string @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV10: $i] :
( ( cowlNothing @ SV10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV11: $i] :
( ( ( ~ ( xsd_string @ SV11 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV12: $i] :
( ( ( xsd_integer @ SV12 )
= $true )
| ( ( xsd_string @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV11: $i] :
( ( ( xsd_string @ SV11 )
= $false )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(108,plain,
! [SV11: $i] :
( ( ( xsd_integer @ SV11 )
= $false )
| ( ( xsd_string @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(109,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[94,108,106,104,100,95]) ).
thf(110,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(111,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(112,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(113,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(114,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(115,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(116,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(117,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(120,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(122,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(123,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(124,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(125,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(128,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(129,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(130,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(131,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV13: $i] :
( ( cowlThing @ SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV14: $i] :
( ( ~ ( cowlNothing @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV15: $i] :
( ( ~ ( xsd_string @ SV15 )
| ~ ( xsd_integer @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV16: $i] :
( ( ( xsd_integer @ SV16 )
| ( xsd_string @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV14: $i] :
( ( cowlNothing @ SV14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(138,plain,
! [SV15: $i] :
( ( ( ~ ( xsd_string @ SV15 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV16: $i] :
( ( ( xsd_integer @ SV16 )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV15: $i] :
( ( ( xsd_string @ SV15 )
= $false )
| ( ( ~ ( xsd_integer @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(141,plain,
! [SV15: $i] :
( ( ( xsd_integer @ SV15 )
= $false )
| ( ( xsd_string @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(142,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[131,141,139,137,133,132]) ).
thf(143,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(144,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(145,plain,
( ( ~ ( cB @ sK5_X )
& ~ ( cA @ sK5_X )
& ( ( cA @ sK5_X )
| ( cB @ sK5_X ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(146,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(147,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ~ ( cB @ sK5_X )
| ~ ~ ( cA @ sK5_X ) )
| ~ ( ( cA @ sK5_X )
| ( cB @ sK5_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(149,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(150,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(151,plain,
( ( ~ ~ ( ~ ~ ( cB @ sK5_X )
| ~ ~ ( cA @ sK5_X ) )
| ~ ( ( cA @ sK5_X )
| ( cB @ sK5_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(152,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(153,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(155,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(156,plain,
( ( ~ ~ ( ~ ~ ( cB @ sK5_X )
| ~ ~ ( cA @ sK5_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(157,plain,
( ( ~ ( ( cA @ sK5_X )
| ( cB @ sK5_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(158,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(159,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(160,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(161,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(162,plain,
( ( ~ ( ~ ~ ( cB @ sK5_X )
| ~ ~ ( cA @ sK5_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(163,plain,
( ( ( cA @ sK5_X )
| ( cB @ sK5_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(164,plain,
! [SV17: $i] :
( ( ~ ( xsd_string @ SV17 )
| ~ ( xsd_integer @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(165,plain,
! [SV18: $i] :
( ( ( xsd_integer @ SV18 )
| ( xsd_string @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(166,plain,
! [SV19: $i] :
( ( cowlThing @ SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(167,plain,
! [SV20: $i] :
( ( ~ ( cowlNothing @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(168,plain,
( ( ~ ~ ( cB @ sK5_X )
| ~ ~ ( cA @ sK5_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
( ( ( cA @ sK5_X )
= $true )
| ( ( cB @ sK5_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV17: $i] :
( ( ( ~ ( xsd_string @ SV17 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV18: $i] :
( ( ( xsd_integer @ SV18 )
= $true )
| ( ( xsd_string @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV20: $i] :
( ( cowlNothing @ SV20 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(173,plain,
( ( ~ ~ ( cB @ sK5_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(174,plain,
( ( ~ ~ ( cA @ sK5_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(175,plain,
! [SV17: $i] :
( ( ( xsd_string @ SV17 )
= $false )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(176,plain,
( ( ~ ( cB @ sK5_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(177,plain,
( ( ~ ( cA @ sK5_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(178,plain,
! [SV17: $i] :
( ( ( xsd_integer @ SV17 )
= $false )
| ( ( xsd_string @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(179,plain,
( ( cB @ sK5_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(180,plain,
( ( cA @ sK5_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(181,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[166,180,179,178,172,171,169]) ).
thf(182,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(183,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(184,plain,
( ( ~ ( cA @ sK6_X )
& ~ ( cB @ sK6_X )
& ( ( cB @ sK6_X )
| ( cA @ sK6_X ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(185,plain,
( ( ~ ( ~ ~ ( ~ ~ ( cA @ sK6_X )
| ~ ~ ( cB @ sK6_X ) )
| ~ ( ( cB @ sK6_X )
| ( cA @ sK6_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(186,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(187,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(188,plain,
( ( ~ ~ ( ~ ~ ( cA @ sK6_X )
| ~ ~ ( cB @ sK6_X ) )
| ~ ( ( cB @ sK6_X )
| ( cA @ sK6_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(189,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(190,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(191,plain,
( ( ~ ~ ( ~ ~ ( cA @ sK6_X )
| ~ ~ ( cB @ sK6_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(192,plain,
( ( ~ ( ( cB @ sK6_X )
| ( cA @ sK6_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(193,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(194,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(195,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(196,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(197,plain,
( ( ~ ( ~ ~ ( cA @ sK6_X )
| ~ ~ ( cB @ sK6_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(198,plain,
( ( ( cB @ sK6_X )
| ( cA @ sK6_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(199,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(200,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(201,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(202,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(203,plain,
( ( ~ ~ ( cA @ sK6_X )
| ~ ~ ( cB @ sK6_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(204,plain,
( ( ( cB @ sK6_X )
= $true )
| ( ( cA @ sK6_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(205,plain,
! [SV21: $i] :
( ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(206,plain,
! [SV22: $i] :
( ( ( xsd_integer @ SV22 )
| ( xsd_string @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(207,plain,
! [SV23: $i] :
( ( cowlThing @ SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(208,plain,
! [SV24: $i] :
( ( ~ ( cowlNothing @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(209,plain,
( ( ~ ~ ( cA @ sK6_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(210,plain,
( ( ~ ~ ( cB @ sK6_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(211,plain,
! [SV21: $i] :
( ( ( ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(212,plain,
! [SV22: $i] :
( ( ( xsd_integer @ SV22 )
= $true )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(213,plain,
! [SV24: $i] :
( ( cowlNothing @ SV24 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(214,plain,
( ( ~ ( cA @ sK6_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(215,plain,
( ( ~ ( cB @ sK6_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(216,plain,
! [SV21: $i] :
( ( ( xsd_string @ SV21 )
= $false )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(217,plain,
( ( cA @ sK6_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(218,plain,
( ( cB @ sK6_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(219,plain,
! [SV21: $i] :
( ( ( xsd_integer @ SV21 )
= $false )
| ( ( xsd_string @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(220,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[204,219,218,217,213,212,207]) ).
thf(221,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[220,53,78,109,142,181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS168+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 19:53:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 2
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.50
% 0.20/0.50 ********************************
% 0.20/0.50 * All subproblems solved! *
% 0.20/0.50 ********************************
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:220,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.51
% 0.20/0.51 %**** Beginning of derivation protocol ****
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
% 0.20/0.51
% 0.20/0.51 %**** End of derivation protocol ****
% 0.20/0.51 %**** no. of clauses in derivation: 221 ****
% 0.20/0.51 %**** clause counter: 220 ****
% 0.20/0.51
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:220,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------