TSTP Solution File: KRS082+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS082+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 03:14:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of formulae : 247 ( 99 unt; 22 typ; 0 def)
% Number of atoms : 1632 ( 374 equ; 0 cnn)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 3387 ( 843 ~; 565 |; 62 &;1885 @)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 3 con; 0-2 aty)
% Number of variables : 518 ( 0 ^ 508 !; 10 ?; 518 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_ca,type,
ca: $i > $o ).
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_19_28752,type,
i2003_11_14_17_19_28752: $i ).
thf(tp_rinvP,type,
rinvP: $i > $i > $o ).
thf(tp_rinvR,type,
rinvR: $i > $i > $o ).
thf(tp_rinvS,type,
rinvS: $i > $i > $o ).
thf(tp_rp,type,
rp: $i > $i > $o ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_rs,type,
rs: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_SY27,type,
sK2_SY27: $i > $i ).
thf(tp_sK3_SY29,type,
sK3_SY29: $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i ).
thf(tp_sK5_SY38,type,
sK5_SY38: $i > $i ).
thf(tp_sK6_SY37,type,
sK6_SY37: $i > $i ).
thf(tp_sK7_W,type,
sK7_W: $i > $i > $i ).
thf(tp_sK8_W,type,
sK8_W: $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_19_28752,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rp @ X @ Y )
& ( rp @ Y @ Z ) )
=> ( rp @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rinvP @ X @ Y )
<=> ( rp @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(6,axiom,
! [X: $i] :
( ( cc @ X )
<=> ! [Y: $i] :
( ( rinvR @ X @ Y )
=> ! [Z: $i] :
( ( rinvP @ Y @ Z )
=> ! [W: $i] :
( ( rinvS @ Z @ W )
=> ~ ( ca @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(7,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( ca @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(8,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
=> ? [Y: $i] :
( ( rs @ X @ Y )
& ? [Z: $i] :
( ( rp @ Y @ Z )
& ( cowlThing @ Z ) )
& ! [Z: $i] :
( ( rr @ Y @ Z )
=> ( cc @ Z ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ? [W: $i] :
( ( rr @ Z @ W )
& ( cowlThing @ W ) ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ? [W: $i] :
( ( rp @ Z @ W )
& ( cowlThing @ W ) ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ! [W: $i] :
( ( rr @ Z @ W )
=> ( cc @ W ) ) )
& ? [Z: $i] :
( ( rr @ Y @ Z )
& ( cowlThing @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(9,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(10,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/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_19_28752 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rp @ X @ Y )
& ( rp @ Y @ Z ) )
=> ( rp @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvP @ X @ Y )
<=> ( rp @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( cc @ X )
<=> ! [Y: $i] :
( ( rinvR @ X @ Y )
=> ! [Z: $i] :
( ( rinvP @ Y @ Z )
=> ! [W: $i] :
( ( rinvS @ Z @ W )
=> ~ ( ca @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
=> ( ca @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
=> ? [Y: $i] :
( ( rs @ X @ Y )
& ? [Z: $i] :
( ( rp @ Y @ Z )
& ( cowlThing @ Z ) )
& ! [Z: $i] :
( ( rr @ Y @ Z )
=> ( cc @ Z ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ? [W: $i] :
( ( rr @ Z @ W )
& ( cowlThing @ W ) ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ? [W: $i] :
( ( rp @ Z @ W )
& ( cowlThing @ W ) ) )
& ! [Z: $i] :
( ( rp @ Y @ Z )
=> ! [W: $i] :
( ( rr @ Z @ W )
=> ( cc @ W ) ) )
& ? [Z: $i] :
( ( rr @ Y @ Z )
& ( cowlThing @ Z ) ) ) ) )
= $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,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ Y @ Z )
| ( rp @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvS @ X @ Y )
| ( rs @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rs @ Y @ X )
| ( rinvS @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( rr @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rr @ Y @ X )
| ( rinvR @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvP @ X @ Y )
| ( rp @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rp @ Y @ X )
| ( rinvP @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( ( rinvR @ X @ ( sK1_Y @ X ) )
& ( rinvP @ ( sK1_Y @ X ) @ ( sK2_SY27 @ X ) )
& ( rinvS @ ( sK2_SY27 @ X ) @ ( sK3_SY29 @ X ) )
& ( ca @ ( sK3_SY29 @ X ) ) )
| ( cc @ X ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ! [Y: $i] :
( ~ ( rinvR @ X @ Y )
| ! [Z: $i] :
( ~ ( rinvP @ Y @ Z )
| ! [W: $i] :
( ~ ( rinvS @ Z @ W )
| ~ ( ca @ W ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(30,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ca @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(31,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ! [SY30: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY30 )
| ! [W: $i] :
( ~ ( rr @ SY30 @ W )
| ( cc @ W ) ) )
& ! [SY32: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY32 )
| ( ( cowlThing @ ( sK8_W @ SY32 @ X ) )
& ( rp @ SY32 @ ( sK8_W @ SY32 @ X ) ) ) )
& ! [SY34: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY34 )
| ( ( cowlThing @ ( sK7_W @ SY34 @ X ) )
& ( rr @ SY34 @ ( sK7_W @ SY34 @ X ) ) ) )
& ! [SY36: $i] :
( ~ ( rr @ ( sK4_Y @ X ) @ SY36 )
| ( cc @ SY36 ) )
& ( cowlThing @ ( sK6_SY37 @ X ) )
& ( rp @ ( sK4_Y @ X ) @ ( sK6_SY37 @ X ) )
& ( rs @ X @ ( sK4_Y @ X ) )
& ( cowlThing @ ( sK5_SY38 @ X ) )
& ( rr @ ( sK4_Y @ X ) @ ( sK5_SY38 @ 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 )
| ( ! [SY30: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY30 )
| ! [W: $i] :
( ~ ( rr @ SY30 @ W )
| ( cc @ W ) ) )
& ! [SY32: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY32 )
| ( ( cowlThing @ ( sK8_W @ SY32 @ X ) )
& ( rp @ SY32 @ ( sK8_W @ SY32 @ X ) ) ) )
& ! [SY34: $i] :
( ~ ( rp @ ( sK4_Y @ X ) @ SY34 )
| ( ( cowlThing @ ( sK7_W @ SY34 @ X ) )
& ( rr @ SY34 @ ( sK7_W @ SY34 @ X ) ) ) )
& ! [SY36: $i] :
( ~ ( rr @ ( sK4_Y @ X ) @ SY36 )
| ( cc @ SY36 ) )
& ( cowlThing @ ( sK6_SY37 @ X ) )
& ( rp @ ( sK4_Y @ X ) @ ( sK6_SY37 @ X ) )
& ( rs @ X @ ( sK4_Y @ X ) )
& ( cowlThing @ ( sK5_SY38 @ X ) )
& ( rr @ ( sK4_Y @ X ) @ ( sK5_SY38 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(37,plain,
( ( ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ca @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(38,plain,
( ( ! [X: $i] :
( ( ( rinvR @ X @ ( sK1_Y @ X ) )
& ( rinvP @ ( sK1_Y @ X ) @ ( sK2_SY27 @ X ) )
& ( rinvS @ ( sK2_SY27 @ X ) @ ( sK3_SY29 @ X ) )
& ( ca @ ( sK3_SY29 @ X ) ) )
| ( cc @ X ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ! [Y: $i] :
( ~ ( rinvR @ X @ Y )
| ! [Z: $i] :
( ~ ( rinvP @ Y @ Z )
| ! [W: $i] :
( ~ ( rinvS @ Z @ W )
| ~ ( ca @ W ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvP @ X @ Y )
| ( rp @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rp @ Y @ X )
| ( rinvP @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( rr @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rr @ Y @ X )
| ( rinvR @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvS @ X @ Y )
| ( rs @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rs @ Y @ X )
| ( rinvS @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ Y @ Z )
| ( rp @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(43,plain,
( ( cUnsatisfiable @ i2003_11_14_17_19_28752 )
= $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,SX1: $i] :
( ~ ( rinvP @ SX0 @ SX1 )
| ( rp @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rp @ SX1 @ SX0 )
| ( rinvP @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(48,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( rp @ ( sK4_Y @ SX0 ) @ SX1 )
| ! [SX2: $i] :
( ~ ( rr @ SX1 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( rp @ ( sK4_Y @ SX0 ) @ SX1 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SX1 @ SX0 ) )
| ~ ( rp @ SX1 @ ( sK8_W @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( rp @ ( sK4_Y @ SX0 ) @ SX1 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SX1 @ SX0 ) )
| ~ ( rr @ SX1 @ ( sK7_W @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( rr @ ( sK4_Y @ SX0 ) @ SX1 )
| ( cc @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SX0 ) )
| ~ ( rp @ ( sK4_Y @ SX0 ) @ ( sK6_SY37 @ SX0 ) ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SX0 ) )
| ~ ( rr @ ( sK4_Y @ SX0 ) @ ( sK5_SY38 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(49,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(50,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SX0 ) @ ( sK2_SY27 @ SX0 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SX0 ) @ ( sK3_SY29 @ SX0 ) )
| ~ ( ca @ ( sK3_SY29 @ SX0 ) ) ) ) )
| ( cc @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( rinvP @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(51,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(52,plain,
! [SV1: $i] :
( ( ~ ( cUnsatisfiable @ SV1 )
| ( ca @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(53,plain,
! [SV2: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ~ ( rp @ SV2 @ SY39 )
| ~ ( rp @ SY39 @ SY40 )
| ( rp @ SV2 @ SY40 ) ) )
= $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,SX1: $i] :
( ~ ( rinvP @ SX0 @ SX1 )
| ( rp @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rp @ SX1 @ SX0 )
| ( rinvP @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(58,plain,
! [SV3: $i] :
( ( ~ ( cUnsatisfiable @ SV3 )
| ~ ( ~ ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
| ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SX0 ) @ ( sK2_SY27 @ SX0 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SX0 ) @ ( sK3_SY29 @ SX0 ) )
| ~ ( ca @ ( sK3_SY29 @ SX0 ) ) ) ) )
| ( cc @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( rinvP @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV1: $i] :
( ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( ca @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV4: $i,SV2: $i] :
( ( ! [SY46: $i] :
( ~ ( rp @ SV2 @ SV4 )
| ~ ( rp @ SV4 @ SY46 )
| ( rp @ SV2 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_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,SX1: $i] :
( ~ ( rinvP @ SX0 @ SX1 )
| ( rp @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rp @ SX1 @ SX0 )
| ( rinvP @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(70,plain,
! [SV3: $i] :
( ( ( ~ ( cUnsatisfiable @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
| ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(71,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(72,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SX0 ) @ ( sK2_SY27 @ SX0 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SX0 ) @ ( sK3_SY29 @ SX0 ) )
| ~ ( ca @ ( sK3_SY29 @ SX0 ) ) ) ) )
| ( cc @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(74,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( rinvP @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(75,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( ca @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(78,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ~ ( rp @ SV2 @ SV4 )
| ~ ( rp @ SV4 @ SV5 )
| ( rp @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(79,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(80,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvP @ SX0 @ SX1 )
| ( rp @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rp @ SX1 @ SX0 )
| ( rinvP @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(84,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(85,plain,
! [SV3: $i] :
( ( ( cUnsatisfiable @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
| ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(86,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(87,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(88,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SX0 ) @ ( sK2_SY27 @ SX0 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SX0 ) @ ( sK3_SY29 @ SX0 ) )
| ~ ( ca @ ( sK3_SY29 @ SX0 ) ) ) ) )
| ( cc @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(89,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( rinvP @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(90,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(91,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(92,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( rp @ SV2 @ SV4 )
| ~ ( rp @ SV4 @ SV5 ) )
= $true )
| ( ( rp @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV6: $i] :
( ( ~ ( xsd_string @ SV6 )
| ~ ( xsd_integer @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV7: $i] :
( ( ( xsd_integer @ SV7 )
| ( xsd_string @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV8: $i] :
( ( ! [SY47: $i] :
( ~ ( rinvP @ SV8 @ SY47 )
| ( rp @ SY47 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV9: $i] :
( ( ! [SY48: $i] :
( ~ ( rp @ SY48 @ SV9 )
| ( rinvP @ SV9 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV10: $i] :
( ( ! [SY49: $i] :
( ~ ( rinvS @ SV10 @ SY49 )
| ( rs @ SY49 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV11: $i] :
( ( ! [SY50: $i] :
( ~ ( rs @ SY50 @ SV11 )
| ( rinvS @ SV11 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
| ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV12: $i] :
( ( cowlThing @ SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV13: $i] :
( ( ~ ( cowlNothing @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV14: $i] :
( ( ~ ( ~ ( rinvR @ SV14 @ ( sK1_Y @ SV14 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) ) )
| ( cc @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV15: $i] :
( ( ~ ( cc @ SV15 )
| ! [SY51: $i] :
( ~ ( rinvR @ SV15 @ SY51 )
| ! [SX2: $i] :
( ~ ( rinvP @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV16: $i] :
( ( ! [SY54: $i] :
( ~ ( rinvR @ SV16 @ SY54 )
| ( rr @ SY54 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV17: $i] :
( ( ! [SY55: $i] :
( ~ ( rr @ SY55 @ SV17 )
| ( rinvR @ SV17 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( rp @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( rp @ SV4 @ SV5 ) )
= $true )
| ( ( rp @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV6: $i] :
( ( ( ~ ( xsd_string @ SV6 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV7: $i] :
( ( ( xsd_integer @ SV7 )
= $true )
| ( ( xsd_string @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV18: $i,SV8: $i] :
( ( ~ ( rinvP @ SV8 @ SV18 )
| ( rp @ SV18 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV9: $i,SV19: $i] :
( ( ~ ( rp @ SV19 @ SV9 )
| ( rinvP @ SV9 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV20: $i,SV10: $i] :
( ( ~ ( rinvS @ SV10 @ SV20 )
| ( rs @ SV20 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV11: $i,SV21: $i] :
( ( ~ ( rs @ SV21 @ SV11 )
| ( rinvS @ SV11 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(114,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(115,plain,
! [SV13: $i] :
( ( cowlNothing @ SV13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( rinvR @ SV14 @ ( sK1_Y @ SV14 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) ) ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV15: $i] :
( ( ( ~ ( cc @ SV15 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( rinvR @ SV15 @ SY51 )
| ! [SX2: $i] :
( ~ ( rinvP @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV22: $i,SV16: $i] :
( ( ~ ( rinvR @ SV16 @ SV22 )
| ( rr @ SV22 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV17: $i,SV23: $i] :
( ( ~ ( rr @ SV23 @ SV17 )
| ( rinvR @ SV17 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( rp @ SV2 @ SV4 )
= $false )
| ( ( ~ ( rp @ SV4 @ SV5 ) )
= $true )
| ( ( rp @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV6: $i] :
( ( ( xsd_string @ SV6 )
= $false )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( rinvP @ SV8 @ SV18 ) )
= $true )
| ( ( rp @ SV18 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV9: $i,SV19: $i] :
( ( ( ~ ( rp @ SV19 @ SV9 ) )
= $true )
| ( ( rinvP @ SV9 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( rinvS @ SV10 @ SV20 ) )
= $true )
| ( ( rs @ SV20 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( rs @ SV21 @ SV11 ) )
= $true )
| ( ( rinvS @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(127,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV14: $i] :
( ( ( ~ ( rinvR @ SV14 @ ( sK1_Y @ SV14 ) )
| ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV15: $i] :
( ( ( cc @ SV15 )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( rinvR @ SV15 @ SY51 )
| ! [SX2: $i] :
( ~ ( rinvP @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( rinvS @ SX2 @ SX3 )
| ~ ( ca @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(130,plain,
! [SV22: $i,SV16: $i] :
( ( ( ~ ( rinvR @ SV16 @ SV22 ) )
= $true )
| ( ( rr @ SV22 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV17: $i,SV23: $i] :
( ( ( ~ ( rr @ SV23 @ SV17 ) )
= $true )
| ( ( rinvR @ SV17 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ( rp @ SV4 @ SV5 )
= $false )
| ( ( rp @ SV2 @ SV4 )
= $false )
| ( ( rp @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV6: $i] :
( ( ( xsd_integer @ SV6 )
= $false )
| ( ( xsd_string @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(134,plain,
! [SV18: $i,SV8: $i] :
( ( ( rinvP @ SV8 @ SV18 )
= $false )
| ( ( rp @ SV18 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(135,plain,
! [SV9: $i,SV19: $i] :
( ( ( rp @ SV19 @ SV9 )
= $false )
| ( ( rinvP @ SV9 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(136,plain,
! [SV20: $i,SV10: $i] :
( ( ( rinvS @ SV10 @ SV20 )
= $false )
| ( ( rs @ SV20 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV11: $i,SV21: $i] :
( ( ( rs @ SV21 @ SV11 )
= $false )
| ( ( rinvS @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(138,plain,
! [SV3: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) )
| ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(139,plain,
! [SV3: $i] :
( ( ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) )
| ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(140,plain,
! [SV14: $i] :
( ( ( ~ ( rinvR @ SV14 @ ( sK1_Y @ SV14 ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(141,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(142,plain,
! [SV24: $i,SV15: $i] :
( ( ( ~ ( rinvR @ SV15 @ SV24 )
| ! [SY56: $i] :
( ~ ( rinvP @ SV24 @ SY56 )
| ! [SX3: $i] :
( ~ ( rinvS @ SY56 @ SX3 )
| ~ ( ca @ SX3 ) ) ) )
= $true )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(143,plain,
! [SV22: $i,SV16: $i] :
( ( ( rinvR @ SV16 @ SV22 )
= $false )
| ( ( rr @ SV22 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(144,plain,
! [SV17: $i,SV23: $i] :
( ( ( rr @ SV23 @ SV17 )
= $false )
| ( ( rinvR @ SV17 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(145,plain,
! [SV3: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(146,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(147,plain,
! [SV3: $i] :
( ( ( ~ ( cowlThing @ ( sK5_SY38 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV3: $i] :
( ( ( ~ ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(149,plain,
! [SV14: $i] :
( ( ( rinvR @ SV14 @ ( sK1_Y @ SV14 ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(151,plain,
! [SV24: $i,SV15: $i] :
( ( ( ~ ( rinvR @ SV15 @ SV24 ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( rinvP @ SV24 @ SY56 )
| ! [SX3: $i] :
( ~ ( rinvS @ SY56 @ SX3 )
| ~ ( ca @ SX3 ) ) ) )
= $true )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV3: $i] :
( ( ( ! [SY41: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY41 )
| ! [SX2: $i] :
( ~ ( rr @ SY41 @ SX2 )
| ( cc @ SX2 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(153,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(154,plain,
! [SV3: $i] :
( ( ( cowlThing @ ( sK5_SY38 @ SV3 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(155,plain,
! [SV3: $i] :
( ( ( rr @ ( sK4_Y @ SV3 ) @ ( sK5_SY38 @ SV3 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(156,plain,
! [SV14: $i] :
( ( ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
| ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV24: $i,SV15: $i] :
( ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( rinvP @ SV24 @ SY56 )
| ! [SX3: $i] :
( ~ ( rinvS @ SY56 @ SX3 )
| ~ ( ca @ SX3 ) ) ) )
= $true )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV25: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV25 )
| ! [SY58: $i] :
( ~ ( rr @ SV25 @ SY58 )
| ( cc @ SY58 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV3: $i] :
( ( ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV14: $i] :
( ( ( ~ ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(161,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(162,plain,
! [SV15: $i,SV26: $i,SV24: $i] :
( ( ( ~ ( rinvP @ SV24 @ SV26 )
| ! [SY59: $i] :
( ~ ( rinvS @ SV26 @ SY59 )
| ~ ( ca @ SY59 ) ) )
= $true )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV25: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV25 ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( rr @ SV25 @ SY58 )
| ( cc @ SY58 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV3: $i] :
( ( ( ~ ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(165,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(166,plain,
! [SV14: $i] :
( ( ( rinvP @ ( sK1_Y @ SV14 ) @ ( sK2_SY27 @ SV14 ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(167,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(168,plain,
! [SV15: $i,SV26: $i,SV24: $i] :
( ( ( ~ ( rinvP @ SV24 @ SV26 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( rinvS @ SV26 @ SY59 )
| ~ ( ca @ SY59 ) ) )
= $true )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV25: $i,SV3: $i] :
( ( ( rp @ ( sK4_Y @ SV3 ) @ SV25 )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( rr @ SV25 @ SY58 )
| ( cc @ SY58 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV3: $i] :
( ( ( ! [SY43: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY43 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SY43 @ SV3 ) )
| ~ ( rp @ SY43 @ ( sK8_W @ SY43 @ SV3 ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(171,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(172,plain,
! [SV14: $i] :
( ( ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
| ~ ( ca @ ( sK3_SY29 @ SV14 ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV15: $i,SV26: $i,SV24: $i] :
( ( ( rinvP @ SV24 @ SV26 )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( rinvS @ SV26 @ SY59 )
| ~ ( ca @ SY59 ) ) )
= $true )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(174,plain,
! [SV3: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( rr @ SV25 @ SV27 )
| ( cc @ SV27 ) )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV25 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV28: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
| ~ ( ~ ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) )
| ~ ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV3: $i] :
( ( ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) )
| ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(177,plain,
! [SV14: $i] :
( ( ( ~ ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(178,plain,
! [SV14: $i] :
( ( ( ~ ( ca @ ( sK3_SY29 @ SV14 ) ) )
= $false )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(179,plain,
! [SV15: $i,SV24: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( rinvS @ SV26 @ SV29 )
| ~ ( ca @ SV29 ) )
= $true )
| ( ( rinvP @ SV24 @ SV26 )
= $false )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(180,plain,
! [SV3: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( rr @ SV25 @ SV27 ) )
= $true )
| ( ( cc @ SV27 )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV25 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(181,plain,
! [SV28: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) )
| ~ ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(182,plain,
! [SV3: $i] :
( ( ( ~ ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(183,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(184,plain,
! [SV14: $i] :
( ( ( rinvS @ ( sK2_SY27 @ SV14 ) @ ( sK3_SY29 @ SV14 ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(185,plain,
! [SV14: $i] :
( ( ( ca @ ( sK3_SY29 @ SV14 ) )
= $true )
| ( ( cc @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(186,plain,
! [SV15: $i,SV24: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( rinvS @ SV26 @ SV29 ) )
= $true )
| ( ( ~ ( ca @ SV29 ) )
= $true )
| ( ( rinvP @ SV24 @ SV26 )
= $false )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV3: $i,SV27: $i,SV25: $i] :
( ( ( rr @ SV25 @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV25 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV28: $i,SV3: $i] :
( ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( ~ ( ~ ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) )
| ~ ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(189,plain,
! [SV3: $i] :
( ( ( ! [SY44: $i] :
( ~ ( rp @ ( sK4_Y @ SV3 ) @ SY44 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SY44 @ SV3 ) )
| ~ ( rr @ SY44 @ ( sK7_W @ SY44 @ SV3 ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(190,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(191,plain,
! [SV15: $i,SV24: $i,SV29: $i,SV26: $i] :
( ( ( rinvS @ SV26 @ SV29 )
= $false )
| ( ( ~ ( ca @ SV29 ) )
= $true )
| ( ( rinvP @ SV24 @ SV26 )
= $false )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(192,plain,
! [SV3: $i,SV28: $i] :
( ( ( ~ ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) )
| ~ ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(193,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
| ~ ( ~ ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) )
| ~ ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(194,plain,
! [SV3: $i] :
( ( ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(195,plain,
! [SV15: $i,SV24: $i,SV26: $i,SV29: $i] :
( ( ( ca @ SV29 )
= $false )
| ( ( rinvS @ SV26 @ SV29 )
= $false )
| ( ( rinvP @ SV24 @ SV26 )
= $false )
| ( ( rinvR @ SV15 @ SV24 )
= $false )
| ( ( cc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(196,plain,
! [SV3: $i,SV28: $i] :
( ( ( ~ ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV3: $i,SV28: $i] :
( ( ( ~ ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(198,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) )
| ~ ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(199,plain,
! [SV3: $i] :
( ( ( ~ ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(200,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(201,plain,
! [SV3: $i,SV28: $i] :
( ( ( cowlThing @ ( sK8_W @ SV28 @ SV3 ) )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(202,plain,
! [SV3: $i,SV28: $i] :
( ( ( rp @ SV28 @ ( sK8_W @ SV28 @ SV3 ) )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV28 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(203,plain,
! [SV30: $i,SV3: $i] :
( ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( ~ ( ~ ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) )
| ~ ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(204,plain,
! [SV3: $i] :
( ( ( ! [SY45: $i] :
( ~ ( rr @ ( sK4_Y @ SV3 ) @ SY45 )
| ( cc @ SY45 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(205,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(206,plain,
! [SV3: $i,SV30: $i] :
( ( ( ~ ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) )
| ~ ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(207,plain,
! [SV31: $i,SV3: $i] :
( ( ( ~ ( rr @ ( sK4_Y @ SV3 ) @ SV31 )
| ( cc @ SV31 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(208,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
| ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(209,plain,
! [SV3: $i,SV30: $i] :
( ( ( ~ ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(210,plain,
! [SV3: $i,SV30: $i] :
( ( ( ~ ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) ) )
= $false )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(211,plain,
! [SV31: $i,SV3: $i] :
( ( ( ~ ( rr @ ( sK4_Y @ SV3 ) @ SV31 ) )
= $true )
| ( ( cc @ SV31 )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(212,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(213,plain,
! [SV3: $i] :
( ( ( ~ ( rs @ SV3 @ ( sK4_Y @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(214,plain,
! [SV3: $i,SV30: $i] :
( ( ( cowlThing @ ( sK7_W @ SV30 @ SV3 ) )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(215,plain,
! [SV3: $i,SV30: $i] :
( ( ( rr @ SV30 @ ( sK7_W @ SV30 @ SV3 ) )
= $true )
| ( ( rp @ ( sK4_Y @ SV3 ) @ SV30 )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(216,plain,
! [SV31: $i,SV3: $i] :
( ( ( rr @ ( sK4_Y @ SV3 ) @ SV31 )
= $false )
| ( ( cc @ SV31 )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(217,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(218,plain,
! [SV3: $i] :
( ( ( rs @ SV3 @ ( sK4_Y @ SV3 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(219,plain,
! [SV3: $i] :
( ( ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) )
| ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(220,plain,
! [SV3: $i] :
( ( ( ~ ( cowlThing @ ( sK6_SY37 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(221,plain,
! [SV3: $i] :
( ( ( ~ ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(222,plain,
! [SV3: $i] :
( ( ( cowlThing @ ( sK6_SY37 @ SV3 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(223,plain,
! [SV3: $i] :
( ( ( rp @ ( sK4_Y @ SV3 ) @ ( sK6_SY37 @ SV3 ) )
= $true )
| ( ( cUnsatisfiable @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(224,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,223,222,218,216,215,214,202,201,195,187,185,184,166,155,154,149,144,143,137,136,135,134,133,132,115,108,100,77,54]) ).
thf(225,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS082+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
% 0.12/0.33 % 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
% 0.12/0.34 % DateTime : Tue Jun 7 18:38:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 10
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (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)...............
% 0.19/0.48
% 0.19/0.48 ********************************
% 0.19/0.48 * All subproblems solved! *
% 0.19/0.48 ********************************
% 0.19/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/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:224,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.50
% 0.19/0.50 %**** Beginning of derivation protocol ****
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50
% 0.19/0.50 %**** End of derivation protocol ****
% 0.19/0.50 %**** no. of clauses in derivation: 225 ****
% 0.19/0.50 %**** clause counter: 224 ****
% 0.19/0.50
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/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:224,loop_count:0,foatp_calls:1,translation:fof_full)
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