%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS096+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 10:26:19 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 15
% Syntax : Number of formulae : 236 ( 90 unt; 0 typ; 0 def)
% Number of atoms : 1874 ( 647 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 2784 (1017 ~; 586 |; 45 &;1097 @)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 574 ( 0 ^; 568 !; 6 ?; 574 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cd,type,
cd: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_20_18265,type,
i2003_11_14_17_20_18265: $i ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_sK1_SY35,type,
sK1_SY35: $i > $i ).
thf(tp_sK2_SY36,type,
sK2_SY36: $i > $i ).
thf(tp_sK3_SY41,type,
sK3_SY41: $i > $i > $i > $i ).
thf(tp_sK4_SY50,type,
sK4_SY50: $i > $i > $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_18265,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(2,axiom,
! [X: $i] :
( ( cc @ X )
=> ~ ( cd @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(3,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ( cc @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cd @ Y ) )
& ! [Y0: $i,Y1: $i] :
( ( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(4,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(5,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(18,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_18265 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ~ ( cd @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ( cc @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cd @ Y ) )
& ! [Y0: $i,Y1: $i] :
( ( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(32,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(42,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ( cc @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cd @ Y ) )
& ! [Y0: $i,Y1: $i] :
( ( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ~ ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(46,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_18265 )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(47,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[32]) ).
thf(48,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cd @ SX0 ) )
| ( cd @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(50,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rr @ SX2 @ SX0 ) )
| ( rr @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(51,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_string @ SX0 ) )
| ( xsd_string @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlNothing @ SX0 ) )
| ( cowlNothing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlThing @ SX0 ) )
| ( cowlThing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(55,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cUnsatisfiable @ SX0 ) )
| ( cUnsatisfiable @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(56,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cc @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cd @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cc @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cd @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
| ( cUnsatisfiable @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(57,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( cd @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cc @ SX0 ) )
| ( cc @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rr @ SX0 @ SX2 ) )
| ( rr @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_integer @ SX0 ) )
| ( xsd_integer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(61,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV1 )
| ~ ( xsd_integer @ SV1 ) )
| ~ ( ~ ~ ( xsd_integer @ SV1 )
| ( xsd_string @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV2: $i] :
( ( ! [SY28: $i] :
( ~ ~ ( ( SV2 != SY28 )
| ~ ( cd @ SV2 ) )
| ( cd @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV3: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ~ ( ( SV3 != SY29 )
| ~ ( rr @ SY30 @ SV3 ) )
| ( rr @ SY30 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV4: $i] :
( ( ~ ( ~ ( cowlThing @ SV4 )
| ~ ~ ( cowlNothing @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY31: $i] :
( ~ ~ ( ( SV5 != SY31 )
| ~ ( xsd_string @ SV5 ) )
| ( xsd_string @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY32: $i] :
( ~ ~ ( ( SV6 != SY32 )
| ~ ( cowlNothing @ SV6 ) )
| ( cowlNothing @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY33: $i] :
( ~ ~ ( ( SV7 != SY33 )
| ~ ( cowlThing @ SV7 ) )
| ( cowlThing @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV8: $i] :
( ( ! [SY34: $i] :
( ~ ~ ( ( SV8 != SY34 )
| ~ ( cUnsatisfiable @ SV8 ) )
| ( cUnsatisfiable @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV9: $i] :
( ( ~ ( ~ ( ~ ( cUnsatisfiable @ SV9 )
| ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
| ( cUnsatisfiable @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV10: $i] :
( ( ~ ( cc @ SV10 )
| ~ ( cd @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV11: $i] :
( ( ! [SY43: $i] :
( ~ ~ ( ( SV11 != SY43 )
| ~ ( cc @ SV11 ) )
| ( cc @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV12: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ~ ( ( SV12 != SY44 )
| ~ ( rr @ SV12 @ SY45 ) )
| ( rr @ SY44 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV13: $i] :
( ( ! [SY46: $i] :
( ~ ~ ( ( SV13 != SY46 )
| ~ ( xsd_integer @ SV13 ) )
| ( xsd_integer @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV1: $i] :
( ( ~ ( ~ ( xsd_string @ SV1 )
| ~ ( xsd_integer @ SV1 ) )
| ~ ( ~ ~ ( xsd_integer @ SV1 )
| ( xsd_string @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV14: $i,SV2: $i] :
( ( ~ ~ ( ( SV2 != SV14 )
| ~ ( cd @ SV2 ) )
| ( cd @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
! [SV15: $i,SV3: $i] :
( ( ! [SY47: $i] :
( ~ ~ ( ( SV3 != SV15 )
| ~ ( rr @ SY47 @ SV3 ) )
| ( rr @ SY47 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV4: $i] :
( ( ~ ( cowlThing @ SV4 )
| ~ ~ ( cowlNothing @ SV4 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV16: $i,SV5: $i] :
( ( ~ ~ ( ( SV5 != SV16 )
| ~ ( xsd_string @ SV5 ) )
| ( xsd_string @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV17: $i,SV6: $i] :
( ( ~ ~ ( ( SV6 != SV17 )
| ~ ( cowlNothing @ SV6 ) )
| ( cowlNothing @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV18: $i,SV7: $i] :
( ( ~ ~ ( ( SV7 != SV18 )
| ~ ( cowlThing @ SV7 ) )
| ( cowlThing @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV19: $i,SV8: $i] :
( ( ~ ~ ( ( SV8 != SV19 )
| ~ ( cUnsatisfiable @ SV8 ) )
| ( cUnsatisfiable @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV9: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV9 )
| ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
| ( cUnsatisfiable @ SV9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV10: $i] :
( ( ( ~ ( cc @ SV10 ) )
= $true )
| ( ( ~ ( cd @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(85,plain,
! [SV20: $i,SV11: $i] :
( ( ~ ~ ( ( SV11 != SV20 )
| ~ ( cc @ SV11 ) )
| ( cc @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV21: $i,SV12: $i] :
( ( ! [SY48: $i] :
( ~ ~ ( ( SV12 != SV21 )
| ~ ( rr @ SV12 @ SY48 ) )
| ( rr @ SV21 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV22: $i,SV13: $i] :
( ( ~ ~ ( ( SV13 != SV22 )
| ~ ( xsd_integer @ SV13 ) )
| ( xsd_integer @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV1: $i] :
( ( ~ ( ~ ( xsd_string @ SV1 )
| ~ ( xsd_integer @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(89,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV1 )
| ( xsd_string @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(90,plain,
! [SV14: $i,SV2: $i] :
( ( ( ~ ~ ( ( SV2 != SV14 )
| ~ ( cd @ SV2 ) ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ~ ~ ( ( SV3 != SV15 )
| ~ ( rr @ SV23 @ SV3 ) )
| ( rr @ SV23 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV4: $i] :
( ( ~ ( cowlThing @ SV4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV4: $i] :
( ( ~ ~ ( cowlNothing @ SV4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(94,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ~ ( ( SV5 != SV16 )
| ~ ( xsd_string @ SV5 ) ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV17: $i,SV6: $i] :
( ( ( ~ ~ ( ( SV6 != SV17 )
| ~ ( cowlNothing @ SV6 ) ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ~ ( ( SV7 != SV18 )
| ~ ( cowlThing @ SV7 ) ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8 != SV19 )
| ~ ( cUnsatisfiable @ SV8 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV9: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV9 )
| ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(99,plain,
! [SV9: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
| ( cUnsatisfiable @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(100,plain,
! [SV10: $i] :
( ( ( cc @ SV10 )
= $false )
| ( ( ~ ( cd @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(101,plain,
! [SV20: $i,SV11: $i] :
( ( ( ~ ~ ( ( SV11 != SV20 )
| ~ ( cc @ SV11 ) ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(102,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ~ ~ ( ( SV12 != SV21 )
| ~ ( rr @ SV12 @ SV24 ) )
| ( rr @ SV21 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(103,plain,
! [SV22: $i,SV13: $i] :
( ( ( ~ ~ ( ( SV13 != SV22 )
| ~ ( xsd_integer @ SV13 ) ) )
= $true )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(104,plain,
! [SV1: $i] :
( ( ~ ( xsd_string @ SV1 )
| ~ ( xsd_integer @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(105,plain,
! [SV1: $i] :
( ( ~ ~ ( xsd_integer @ SV1 )
| ( xsd_string @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(106,plain,
! [SV14: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV14 )
| ~ ( cd @ SV2 ) ) )
= $false )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(107,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ( ~ ~ ( ( SV3 != SV15 )
| ~ ( rr @ SV23 @ SV3 ) ) )
= $true )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(108,plain,
! [SV4: $i] :
( ( cowlThing @ SV4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(109,plain,
! [SV4: $i] :
( ( ~ ( cowlNothing @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(110,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( ( SV5 != SV16 )
| ~ ( xsd_string @ SV5 ) ) )
= $false )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(111,plain,
! [SV17: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV17 )
| ~ ( cowlNothing @ SV6 ) ) )
= $false )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(112,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV18 )
| ~ ( cowlThing @ SV7 ) ) )
= $false )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(113,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( ( SV8 != SV19 )
| ~ ( cUnsatisfiable @ SV8 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(114,plain,
! [SV9: $i] :
( ( ~ ( cUnsatisfiable @ SV9 )
| ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(115,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
| ( cUnsatisfiable @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(116,plain,
! [SV10: $i] :
( ( ( cd @ SV10 )
= $false )
| ( ( cc @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(117,plain,
! [SV20: $i,SV11: $i] :
( ( ( ~ ( ( SV11 != SV20 )
| ~ ( cc @ SV11 ) ) )
= $false )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(118,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ~ ( ( SV12 != SV21 )
| ~ ( rr @ SV12 @ SV24 ) ) )
= $true )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(119,plain,
! [SV22: $i,SV13: $i] :
( ( ( ~ ( ( SV13 != SV22 )
| ~ ( xsd_integer @ SV13 ) ) )
= $false )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV1: $i] :
( ( ( ~ ( xsd_string @ SV1 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ~ ( xsd_integer @ SV1 ) )
= $true )
| ( ( xsd_string @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(122,plain,
! [SV14: $i,SV2: $i] :
( ( ( ( SV2 != SV14 )
| ~ ( cd @ SV2 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(123,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ( ~ ( ( SV3 != SV15 )
| ~ ( rr @ SV23 @ SV3 ) ) )
= $false )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(124,plain,
! [SV4: $i] :
( ( cowlNothing @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(125,plain,
! [SV16: $i,SV5: $i] :
( ( ( ( SV5 != SV16 )
| ~ ( xsd_string @ SV5 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(126,plain,
! [SV17: $i,SV6: $i] :
( ( ( ( SV6 != SV17 )
| ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(127,plain,
! [SV18: $i,SV7: $i] :
( ( ( ( SV7 != SV18 )
| ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(128,plain,
! [SV19: $i,SV8: $i] :
( ( ( ( SV8 != SV19 )
| ~ ( cUnsatisfiable @ SV8 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(129,plain,
! [SV9: $i] :
( ( ( ~ ( cUnsatisfiable @ SV9 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV20: $i,SV11: $i] :
( ( ( ( SV11 != SV20 )
| ~ ( cc @ SV11 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(132,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( ( SV12 != SV21 )
| ~ ( rr @ SV12 @ SV24 ) ) )
= $false )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(133,plain,
! [SV22: $i,SV13: $i] :
( ( ( ( SV13 != SV22 )
| ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV1: $i] :
( ( ( xsd_string @ SV1 )
= $false )
| ( ( ~ ( xsd_integer @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV1: $i] :
( ( ( ~ ( xsd_integer @ SV1 ) )
= $false )
| ( ( xsd_string @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV14: $i,SV2: $i] :
( ( ( SV2 != SV14 )
= $true )
| ( ( ~ ( cd @ SV2 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ( ( SV3 != SV15 )
| ~ ( rr @ SV23 @ SV3 ) )
= $true )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV16: $i,SV5: $i] :
( ( ( SV5 != SV16 )
= $true )
| ( ( ~ ( xsd_string @ SV5 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(139,plain,
! [SV17: $i,SV6: $i] :
( ( ( SV6 != SV17 )
= $true )
| ( ( ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(140,plain,
! [SV18: $i,SV7: $i] :
( ( ( SV7 != SV18 )
= $true )
| ( ( ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(141,plain,
! [SV19: $i,SV8: $i] :
( ( ( SV8 != SV19 )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV8 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(142,plain,
! [SV9: $i] :
( ( ( cUnsatisfiable @ SV9 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(143,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(144,plain,
! [SV20: $i,SV11: $i] :
( ( ( SV11 != SV20 )
= $true )
| ( ( ~ ( cc @ SV11 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(145,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ( SV12 != SV21 )
| ~ ( rr @ SV12 @ SV24 ) )
= $true )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(146,plain,
! [SV22: $i,SV13: $i] :
( ( ( SV13 != SV22 )
= $true )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV1: $i] :
( ( ( xsd_integer @ SV1 )
= $false )
| ( ( xsd_string @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(148,plain,
! [SV1: $i] :
( ( ( xsd_integer @ SV1 )
= $true )
| ( ( xsd_string @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(149,plain,
! [SV14: $i,SV2: $i] :
( ( ( SV2 = SV14 )
= $false )
| ( ( ~ ( cd @ SV2 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ( SV3 != SV15 )
= $true )
| ( ( ~ ( rr @ SV23 @ SV3 ) )
= $true )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(151,plain,
! [SV16: $i,SV5: $i] :
( ( ( SV5 = SV16 )
= $false )
| ( ( ~ ( xsd_string @ SV5 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV17: $i,SV6: $i] :
( ( ( SV6 = SV17 )
= $false )
| ( ( ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(153,plain,
! [SV18: $i,SV7: $i] :
( ( ( SV7 = SV18 )
= $false )
| ( ( ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(154,plain,
! [SV19: $i,SV8: $i] :
( ( ( SV8 = SV19 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV8 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(155,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(156,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV20: $i,SV11: $i] :
( ( ( SV11 = SV20 )
= $false )
| ( ( ~ ( cc @ SV11 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(158,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( SV12 != SV21 )
= $true )
| ( ( ~ ( rr @ SV12 @ SV24 ) )
= $true )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(159,plain,
! [SV22: $i,SV13: $i] :
( ( ( SV13 = SV22 )
= $false )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(160,plain,
! [SV14: $i,SV2: $i] :
( ( ( cd @ SV2 )
= $false )
| ( ( SV2 = SV14 )
= $false )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV23: $i,SV15: $i,SV3: $i] :
( ( ( SV3 = SV15 )
= $false )
| ( ( ~ ( rr @ SV23 @ SV3 ) )
= $true )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV16: $i,SV5: $i] :
( ( ( xsd_string @ SV5 )
= $false )
| ( ( SV5 = SV16 )
= $false )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(163,plain,
! [SV17: $i,SV6: $i] :
( ( ( cowlNothing @ SV6 )
= $false )
| ( ( SV6 = SV17 )
= $false )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV18: $i,SV7: $i] :
( ( ( cowlThing @ SV7 )
= $false )
| ( ( SV7 = SV18 )
= $false )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV19: $i,SV8: $i] :
( ( ( cUnsatisfiable @ SV8 )
= $false )
| ( ( SV8 = SV19 )
= $false )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV9: $i] :
( ( ( ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(168,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV20: $i,SV11: $i] :
( ( ( cc @ SV11 )
= $false )
| ( ( SV11 = SV20 )
= $false )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(170,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( SV12 = SV21 )
= $false )
| ( ( ~ ( rr @ SV12 @ SV24 ) )
= $true )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV22: $i,SV13: $i] :
( ( ( xsd_integer @ SV13 )
= $false )
| ( ( SV13 = SV22 )
= $false )
| ( ( xsd_integer @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV15: $i,SV3: $i,SV23: $i] :
( ( ( rr @ SV23 @ SV3 )
= $false )
| ( ( SV3 = SV15 )
= $false )
| ( ( rr @ SV23 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(174,plain,
! [SV9: $i] :
( ( ( ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY37 )
| ~ ( rr @ SV9 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(175,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) ) )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV21: $i,SV24: $i,SV12: $i] :
( ( ( rr @ SV12 @ SV24 )
= $false )
| ( ( SV12 = SV21 )
= $false )
| ( ( rr @ SV21 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV9: $i] :
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) )
| ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(178,plain,
! [SV25: $i,SV9: $i] :
( ( ( ! [SY49: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SV25 )
| ~ ( rr @ SV9 @ SY49 ) )
| ( SV25 = SY49 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(179,plain,
! [SV9: $i] :
( ( ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) )
| ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(180,plain,
! [SV9: $i] :
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(181,plain,
! [SV9: $i] :
( ( ( ~ ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(182,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ SV25 )
| ~ ( rr @ SV9 @ SV26 ) )
| ( SV25 = SV26 ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(183,plain,
! [SV9: $i] :
( ( ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(184,plain,
! [SV9: $i] :
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(185,plain,
! [SV9: $i] :
( ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(186,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ SV25 )
| ~ ( rr @ SV9 @ SV26 ) ) )
= $true )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(187,plain,
! [SV9: $i] :
( ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) ) )
= $false )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(188,plain,
! [SV9: $i] :
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY35 )
| ~ ( cc @ SY35 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(189,plain,
! [SV9: $i] :
( ( ( ! [SY36: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY36 )
| ~ ( cd @ SY36 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(190,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ SV25 )
| ~ ( rr @ SV9 @ SV26 ) ) )
= $false )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(191,plain,
! [SV9: $i] :
( ( ( ! [SY39: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY39 )
| ~ ( cc @ SY39 ) ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(192,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ ( sK1_SY35 @ SV9 ) )
| ~ ( cc @ ( sK1_SY35 @ SV9 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(193,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ ( sK2_SY36 @ SV9 ) )
| ~ ( cd @ ( sK2_SY36 @ SV9 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[189]) ).
thf(194,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV25 )
| ~ ( rr @ SV9 @ SV26 ) )
= $true )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(195,plain,
! [SV27: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ SV27 )
| ~ ( cc @ SV27 ) ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(196,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ ( sK1_SY35 @ SV9 ) )
| ~ ( cc @ ( sK1_SY35 @ SV9 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ ( sK2_SY36 @ SV9 ) )
| ~ ( cd @ ( sK2_SY36 @ SV9 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(198,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV25 ) )
= $true )
| ( ( ~ ( rr @ SV9 @ SV26 ) )
= $true )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(199,plain,
! [SV27: $i,SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ SV27 )
| ~ ( cc @ SV27 ) ) )
= $false )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(200,plain,
! [SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK1_SY35 @ SV9 ) )
| ~ ( cc @ ( sK1_SY35 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK2_SY36 @ SV9 ) )
| ~ ( cd @ ( sK2_SY36 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV26: $i,SV25: $i,SV9: $i] :
( ( ( rr @ SV9 @ SV25 )
= $false )
| ( ( ~ ( rr @ SV9 @ SV26 ) )
= $true )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(203,plain,
! [SV27: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV27 )
| ~ ( cc @ SV27 ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(204,plain,
! [SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK1_SY35 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(205,plain,
! [SV9: $i] :
( ( ( ~ ( cc @ ( sK1_SY35 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(206,plain,
! [SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK2_SY36 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(207,plain,
! [SV9: $i] :
( ( ( ~ ( cd @ ( sK2_SY36 @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(208,plain,
! [SV25: $i,SV26: $i,SV9: $i] :
( ( ( rr @ SV9 @ SV26 )
= $false )
| ( ( rr @ SV9 @ SV25 )
= $false )
| ( ( SV25 = SV26 )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(209,plain,
! [SV27: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV27 ) )
= $true )
| ( ( ~ ( cc @ SV27 ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(210,plain,
! [SV9: $i] :
( ( ( rr @ SV9 @ ( sK1_SY35 @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(211,plain,
! [SV9: $i] :
( ( ( cc @ ( sK1_SY35 @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(212,plain,
! [SV9: $i] :
( ( ( rr @ SV9 @ ( sK2_SY36 @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(213,plain,
! [SV9: $i] :
( ( ( cd @ ( sK2_SY36 @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(214,plain,
! [SV27: $i,SV9: $i] :
( ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( ~ ( cc @ SV27 ) )
= $true )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(215,plain,
! [SV9: $i,SV27: $i] :
( ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(216,plain,
! [SV27: $i,SV9: $i] :
( ( ( ~ ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(217,plain,
! [SV27: $i,SV9: $i] :
( ( ( ! [SY40: $i] :
~ ~ ( ~ ( rr @ SV9 @ SY40 )
| ~ ( cd @ SY40 ) ) )
= $true )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(218,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ SV28 )
| ~ ( cd @ SV28 ) ) )
= $true )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(219,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ SV28 )
| ~ ( cd @ SV28 ) ) )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(220,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV28 )
| ~ ( cd @ SV28 ) )
= $true )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(221,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ SV28 ) )
= $true )
| ( ( ~ ( cd @ SV28 ) )
= $true )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(222,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( ~ ( cd @ SV28 ) )
= $true )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(223,plain,
! [SV27: $i,SV9: $i,SV28: $i] :
( ( ( cd @ SV28 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( ~ ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(224,plain,
! [SV28: $i,SV27: $i,SV9: $i] :
( ( ( ! [SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ SY41 )
| ~ ( rr @ SV9 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(225,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ! [SY50: $i] :
( ~ ~ ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
| ~ ( rr @ SV9 @ SY50 ) )
| ( ( sK3_SY41 @ SV28 @ SV27 @ SV9 )
= SY50 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(226,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
| ~ ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) )
| ( ( sK3_SY41 @ SV28 @ SV27 @ SV9 )
= ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(227,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
| ~ ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(228,plain,
! [SV9: $i,SV27: $i,SV28: $i] :
( ( ( ( sK3_SY41 @ SV28 @ SV27 @ SV9 )
= ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(229,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
| ~ ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) ) )
= $true )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(230,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
| ~ ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(231,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(232,plain,
! [SV28: $i,SV27: $i,SV9: $i] :
( ( ( ~ ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) ) )
= $false )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(233,plain,
! [SV27: $i,SV28: $i,SV9: $i] :
( ( ( rr @ SV9 @ ( sK3_SY41 @ SV28 @ SV27 @ SV9 ) )
= $true )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(234,plain,
! [SV28: $i,SV27: $i,SV9: $i] :
( ( ( rr @ SV9 @ ( sK4_SY50 @ SV27 @ SV28 @ SV9 ) )
= $true )
| ( ( cc @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV27 )
= $false )
| ( ( rr @ SV9 @ SV28 )
= $false )
| ( ( cd @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(235,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[46,234,233,228,213,212,211,210,208,176,172,171,169,165,164,163,162,160,148,147,124,116,108,61]) ).
thf(236,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 11:43:24 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.24
% 0.07/0.24 No.of.Axioms: 14
% 0.07/0.24
% 0.07/0.24 Length.of.Defs: 0
% 0.07/0.24
% 0.07/0.24 Contains.Choice.Funs: false
% 0.07/0.24 ......
% 0.07/0.24
% 0.07/0.24 ********************************
% 0.07/0.24 * All subproblems solved! *
% 0.07/0.24 ********************************
% 0.07/0.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,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:235,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.24
% 0.07/0.24 %**** Beginning of derivation protocol ****
% 0.07/0.24 % SZS output start CNFRefutation
% See solution above
% 0.07/0.24
% 0.07/0.24 %**** End of derivation protocol ****
% 0.07/0.24 %**** no. of clauses in derivation: 236 ****
% 0.07/0.24 %**** clause counter: 235 ****
% 0.07/0.24
% 0.07/0.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,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:235,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------