TSTP Solution File: KRS105+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS105+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 : n027.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 03:14:37 EDT 2022
% Result : Unsatisfiable 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 144 ( 83 unt; 15 typ; 0 def)
% Number of atoms : 621 ( 158 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 767 ( 177 ~; 142 |; 14 &; 414 @)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 187 ( 0 ^ 183 !; 4 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_ca_Ax2,type,
ca_Ax2: $i > $o ).
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cd,type,
cd: $i > $o ).
thf(tp_cdxcomp,type,
cdxcomp: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_20_53634,type,
i2003_11_14_17_20_53634: $i ).
thf(tp_ra_Px1,type,
ra_Px1: $i > $i > $o ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y0,type,
sK2_Y0: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
cUnsatisfiable @ i2003_11_14_17_20_53634,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(2,axiom,
! [X: $i] :
( ( ca_Ax2 @ X )
=> ( cd @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(3,axiom,
! [X: $i] :
( ( ca_Ax2 @ X )
<=> ! [Y: $i] :
( ( rr @ X @ Y )
=> ( cc @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(4,axiom,
! [X: $i] :
( ( cdxcomp @ X )
<=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(5,axiom,
! [X: $i] :
( ( cd @ X )
<=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(6,axiom,
! [X: $i] :
( ( cc @ X )
=> ! [Y: $i] :
( ( rr @ X @ Y )
=> ( cc @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(7,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( cc @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(8,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( cdxcomp @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(9,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(10,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(11,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(12,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
$false = $false,
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_53634 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [X: $i] :
( ( ca_Ax2 @ X )
=> ( cd @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( ca_Ax2 @ X )
<=> ! [Y: $i] :
( ( rr @ X @ Y )
=> ( cc @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [X: $i] :
( ( cdxcomp @ X )
<=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [X: $i] :
( ( cd @ X )
<=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ! [Y: $i] :
( ( rr @ X @ Y )
=> ( cc @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( cc @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( cdxcomp @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [X: $i] :
( ~ ( ca_Ax2 @ X )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( ( rr @ X @ ( sK1_Y @ X ) )
& ~ ( cc @ ( sK1_Y @ X ) ) )
| ( ca_Ax2 @ X ) )
& ! [X: $i] :
( ~ ( ca_Ax2 @ X )
| ! [Y: $i] :
( ~ ( rr @ X @ Y )
| ( cc @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(27,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( ra_Px1 @ X @ Y0 )
| ( cdxcomp @ X ) )
& ! [X: $i] :
( ~ ( cdxcomp @ X )
| ( ra_Px1 @ X @ ( sK2_Y0 @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(28,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ! [Y: $i] :
~ ( ra_Px1 @ X @ Y ) )
& ! [X: $i] :
( ( ra_Px1 @ X @ ( sK3_Y @ X ) )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(29,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y: $i] :
( ~ ( rr @ X @ Y )
| ( cc @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(30,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( cc @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(31,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( cdxcomp @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(32,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(33,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(34,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( cdxcomp @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(37,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( cc @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(38,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y: $i] :
( ~ ( rr @ X @ Y )
| ( cc @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ! [Y: $i] :
~ ( ra_Px1 @ X @ Y ) )
& ! [X: $i] :
( ( ra_Px1 @ X @ ( sK3_Y @ X ) )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(40,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( ra_Px1 @ X @ Y0 )
| ( cdxcomp @ X ) )
& ! [X: $i] :
( ~ ( cdxcomp @ X )
| ( ra_Px1 @ X @ ( sK2_Y0 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(41,plain,
( ( ! [X: $i] :
( ( ( rr @ X @ ( sK1_Y @ X ) )
& ~ ( cc @ ( sK1_Y @ X ) ) )
| ( ca_Ax2 @ X ) )
& ! [X: $i] :
( ~ ( ca_Ax2 @ X )
| ! [Y: $i] :
( ~ ( rr @ X @ Y )
| ( cc @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(42,plain,
( ( ! [X: $i] :
( ~ ( ca_Ax2 @ X )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(43,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_53634 )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(46,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK3_Y @ SX0 ) )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) )
| ( ca_Ax2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ca_Ax2 @ SX0 )
| ! [SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( cc @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(49,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cdxcomp @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cdxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(50,plain,
! [SV1: $i] :
( ( ~ ( cUnsatisfiable @ SV1 )
| ( cdxcomp @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(51,plain,
! [SV2: $i] :
( ( ~ ( cUnsatisfiable @ SV2 )
| ( cc @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(52,plain,
! [SV3: $i] :
( ( ~ ( cc @ SV3 )
| ! [SY13: $i] :
( ~ ( rr @ SV3 @ SY13 )
| ( cc @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(53,plain,
! [SV4: $i] :
( ( ~ ( ca_Ax2 @ SV4 )
| ( cd @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(54,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK3_Y @ SX0 ) )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) )
| ( ca_Ax2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ca_Ax2 @ SX0 )
| ! [SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( cc @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(58,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cdxcomp @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cdxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV1: $i] :
( ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cdxcomp @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(61,plain,
! [SV2: $i] :
( ( ( ~ ( cUnsatisfiable @ SV2 ) )
= $true )
| ( ( cc @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV3: $i] :
( ( ( ~ ( cc @ SV3 ) )
= $true )
| ( ( ! [SY13: $i] :
( ~ ( rr @ SV3 @ SY13 )
| ( cc @ SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV4: $i] :
( ( ( ~ ( ca_Ax2 @ SV4 ) )
= $true )
| ( ( cd @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK3_Y @ SX0 ) )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) )
| ( ca_Ax2 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ca_Ax2 @ SX0 )
| ! [SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( cc @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(70,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(71,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(72,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cdxcomp @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cdxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(74,plain,
! [SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( cdxcomp @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV2: $i] :
( ( ( cUnsatisfiable @ SV2 )
= $false )
| ( ( cc @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(76,plain,
! [SV3: $i] :
( ( ( cc @ SV3 )
= $false )
| ( ( ! [SY13: $i] :
( ~ ( rr @ SV3 @ SY13 )
| ( cc @ SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(77,plain,
! [SV4: $i] :
( ( ( ca_Ax2 @ SV4 )
= $false )
| ( ( cd @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(78,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(79,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(80,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(81,plain,
( ( ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK3_Y @ SX0 ) )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) )
| ( ca_Ax2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(83,plain,
( ( ! [SX0: $i] :
( ~ ( ca_Ax2 @ SX0 )
| ! [SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( cc @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(84,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(85,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(86,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cdxcomp @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(87,plain,
( ( ! [SX0: $i] :
( ~ ( cdxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(88,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( rr @ SV3 @ SV5 )
| ( cc @ SV5 ) )
= $true )
| ( ( cc @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV6: $i] :
( ( ~ ( xsd_string @ SV6 )
| ~ ( xsd_integer @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV7: $i] :
( ( ( xsd_integer @ SV7 )
| ( xsd_string @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV8: $i] :
( ( ~ ( cd @ SV8 )
| ! [SY14: $i] :
~ ( ra_Px1 @ SV8 @ SY14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV9: $i] :
( ( ( ra_Px1 @ SV9 @ ( sK3_Y @ SV9 ) )
| ( cd @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV10: $i] :
( ( ~ ( ~ ( rr @ SV10 @ ( sK1_Y @ SV10 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV10 ) ) )
| ( ca_Ax2 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV11: $i] :
( ( ~ ( ca_Ax2 @ SV11 )
| ! [SY15: $i] :
( ~ ( rr @ SV11 @ SY15 )
| ( cc @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV12: $i] :
( ( cowlThing @ SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(96,plain,
! [SV13: $i] :
( ( ~ ( cowlNothing @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV14: $i] :
( ( ! [SY16: $i] :
~ ( ra_Px1 @ SV14 @ SY16 )
| ( cdxcomp @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV15: $i] :
( ( ~ ( cdxcomp @ SV15 )
| ( ra_Px1 @ SV15 @ ( sK2_Y0 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(99,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( rr @ SV3 @ SV5 ) )
= $true )
| ( ( cc @ SV5 )
= $true )
| ( ( cc @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV6: $i] :
( ( ( ~ ( xsd_string @ SV6 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV7: $i] :
( ( ( xsd_integer @ SV7 )
= $true )
| ( ( xsd_string @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV8: $i] :
( ( ( ~ ( cd @ SV8 ) )
= $true )
| ( ( ! [SY14: $i] :
~ ( ra_Px1 @ SV8 @ SY14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV9: $i] :
( ( ( ra_Px1 @ SV9 @ ( sK3_Y @ SV9 ) )
= $true )
| ( ( cd @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( rr @ SV10 @ ( sK1_Y @ SV10 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV10 ) ) ) )
= $true )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV11: $i] :
( ( ( ~ ( ca_Ax2 @ SV11 ) )
= $true )
| ( ( ! [SY15: $i] :
( ~ ( rr @ SV11 @ SY15 )
| ( cc @ SY15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV13: $i] :
( ( cowlNothing @ SV13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV14: $i] :
( ( ( ! [SY16: $i] :
~ ( ra_Px1 @ SV14 @ SY16 ) )
= $true )
| ( ( cdxcomp @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV15: $i] :
( ( ( ~ ( cdxcomp @ SV15 ) )
= $true )
| ( ( ra_Px1 @ SV15 @ ( sK2_Y0 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV5: $i,SV3: $i] :
( ( ( rr @ SV3 @ SV5 )
= $false )
| ( ( cc @ SV5 )
= $true )
| ( ( cc @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV6: $i] :
( ( ( xsd_string @ SV6 )
= $false )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV8: $i] :
( ( ( cd @ SV8 )
= $false )
| ( ( ! [SY14: $i] :
~ ( ra_Px1 @ SV8 @ SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV10: $i] :
( ( ( ~ ( rr @ SV10 @ ( sK1_Y @ SV10 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV10 ) ) )
= $false )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV11: $i] :
( ( ( ca_Ax2 @ SV11 )
= $false )
| ( ( ! [SY15: $i] :
( ~ ( rr @ SV11 @ SY15 )
| ( cc @ SY15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV16: $i,SV14: $i] :
( ( ( ~ ( ra_Px1 @ SV14 @ SV16 ) )
= $true )
| ( ( cdxcomp @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(115,plain,
! [SV15: $i] :
( ( ( cdxcomp @ SV15 )
= $false )
| ( ( ra_Px1 @ SV15 @ ( sK2_Y0 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV6: $i] :
( ( ( xsd_integer @ SV6 )
= $false )
| ( ( xsd_string @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( ra_Px1 @ SV8 @ SV17 ) )
= $true )
| ( ( cd @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV10: $i] :
( ( ( ~ ( rr @ SV10 @ ( sK1_Y @ SV10 ) ) )
= $false )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV10: $i] :
( ( ( ~ ~ ( cc @ ( sK1_Y @ SV10 ) ) )
= $false )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(120,plain,
! [SV18: $i,SV11: $i] :
( ( ( ~ ( rr @ SV11 @ SV18 )
| ( cc @ SV18 ) )
= $true )
| ( ( ca_Ax2 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV16: $i,SV14: $i] :
( ( ( ra_Px1 @ SV14 @ SV16 )
= $false )
| ( ( cdxcomp @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV17: $i,SV8: $i] :
( ( ( ra_Px1 @ SV8 @ SV17 )
= $false )
| ( ( cd @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(123,plain,
! [SV10: $i] :
( ( ( rr @ SV10 @ ( sK1_Y @ SV10 ) )
= $true )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(124,plain,
! [SV10: $i] :
( ( ( ~ ( cc @ ( sK1_Y @ SV10 ) ) )
= $true )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(125,plain,
! [SV18: $i,SV11: $i] :
( ( ( ~ ( rr @ SV11 @ SV18 ) )
= $true )
| ( ( cc @ SV18 )
= $true )
| ( ( ca_Ax2 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV10: $i] :
( ( ( cc @ ( sK1_Y @ SV10 ) )
= $false )
| ( ( ca_Ax2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(127,plain,
! [SV18: $i,SV11: $i] :
( ( ( rr @ SV11 @ SV18 )
= $false )
| ( ( cc @ SV18 )
= $true )
| ( ( ca_Ax2 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(128,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,127,126,123,122,121,116,115,109,106,103,101,95,77,75,74,54]) ).
thf(129,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS105+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 17:42:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 10
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:10,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:12,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.18/0.39
% 0.18/0.39 ********************************
% 0.18/0.39 * All subproblems solved! *
% 0.18/0.39 ********************************
% 0.18/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:128,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.40
% 0.18/0.40 %**** Beginning of derivation protocol ****
% 0.18/0.40 % SZS output start CNFRefutation
% See solution above
% 0.18/0.40
% 0.18/0.40 %**** End of derivation protocol ****
% 0.18/0.40 %**** no. of clauses in derivation: 129 ****
% 0.18/0.40 %**** clause counter: 128 ****
% 0.18/0.40
% 0.18/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:128,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------