TSTP Solution File: KRS178+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:15:52 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 52
% Syntax : Number of formulae : 316 ( 177 unt; 38 typ; 0 def)
% Number of atoms : 1553 ( 371 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 3850 ( 665 ~; 445 |; 66 &;2652 @)
% ( 12 <=>; 6 =>; 0 <=; 4 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 22 con; 0-3 aty)
% Number of variables : 689 ( 0 ^ 645 !; 44 ?; 689 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_mighta,type,
mighta: $i > $i > $o ).
thf(tp_model,type,
model: $i > $i > $o ).
thf(tp_nevera,type,
nevera: $i > $i > $o ).
thf(tp_not,type,
not: $i > $i ).
thf(tp_nota,type,
nota: $i > $i > $o ).
thf(tp_sK10_SY54,type,
sK10_SY54: $i ).
thf(tp_sK11_Ax,type,
sK11_Ax: $i ).
thf(tp_sK12_SY61,type,
sK12_SY61: $i ).
thf(tp_sK13_SY67,type,
sK13_SY67: $i ).
thf(tp_sK14_SY63,type,
sK14_SY63: $i ).
thf(tp_sK15_SY65,type,
sK15_SY65: $i ).
thf(tp_sK16_F,type,
sK16_F: $i ).
thf(tp_sK17_F,type,
sK17_F: $i ).
thf(tp_sK18_SY70,type,
sK18_SY70: $i ).
thf(tp_sK19_SY69,type,
sK19_SY69: $i ).
thf(tp_sK1_S1,type,
sK1_S1: $i ).
thf(tp_sK20_F,type,
sK20_F: $i ).
thf(tp_sK21_Ax,type,
sK21_Ax: $i > $i > $i ).
thf(tp_sK22_SY72,type,
sK22_SY72: $i > $i > $i ).
thf(tp_sK23_Ax,type,
sK23_Ax: $i > $i > $i ).
thf(tp_sK24_SY73,type,
sK24_SY73: $i > $i > $i ).
thf(tp_sK25_Ax,type,
sK25_Ax: $i > $i > $i ).
thf(tp_sK26_SY74,type,
sK26_SY74: $i > $i > $i ).
thf(tp_sK27_Ax,type,
sK27_Ax: $i > $i > $i ).
thf(tp_sK28_SY75,type,
sK28_SY75: $i > $i > $i ).
thf(tp_sK29_Ax,type,
sK29_Ax: $i > $i > $i ).
thf(tp_sK2_I1,type,
sK2_I1: $i ).
thf(tp_sK30_SY76,type,
sK30_SY76: $i > $i > $i ).
thf(tp_sK3_SY46,type,
sK3_SY46: $i ).
thf(tp_sK4_SY49,type,
sK4_SY49: $i ).
thf(tp_sK5_SY51,type,
sK5_SY51: $i ).
thf(tp_sK6_Ax,type,
sK6_Ax: $i ).
thf(tp_sK7_SY52,type,
sK7_SY52: $i ).
thf(tp_sK8_SY60,type,
sK8_SY60: $i ).
thf(tp_sK9_SY59,type,
sK9_SY59: $i ).
thf(tp_status,type,
status: $i > $i > $i > $o ).
thf(tp_xora,type,
xora: $i > $i > $o ).
thf(1,axiom,
? [I1: $i,Ax: $i,C: $i] :
( ( model @ I1 @ Ax )
& ~ ( model @ I1 @ C )
& ? [I2: $i] : ( model @ I2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_thm_spt) ).
thf(2,axiom,
? [Ax: $i,C: $i] :
( ? [I1: $i] : ( model @ I1 @ Ax )
& ! [I2: $i] :
( ( model @ I2 @ Ax )
=> ( model @ I2 @ C ) )
& ? [I3: $i] :
( ~ ( model @ I3 @ Ax )
& ( model @ I3 @ C ) )
& ? [I4: $i] :
~ ( model @ I4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
thf(3,axiom,
? [Ax: $i,C: $i] :
( ? [I1: $i] :
( ( model @ I1 @ Ax )
& ( model @ I1 @ C ) )
& ? [I2: $i] :
( ~ ( model @ I2 @ Ax )
| ~ ( model @ I2 @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat_non_taut_pair) ).
thf(4,axiom,
? [F: $i] :
! [I: $i] :
~ ( model @ I @ F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
thf(5,axiom,
? [F: $i] :
( ? [I1: $i] : ( model @ I1 @ F )
& ? [I2: $i] :
~ ( model @ I2 @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfiable) ).
thf(6,axiom,
? [F: $i] :
! [I: $i] : ( model @ I @ F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
thf(7,axiom,
! [I: $i,F: $i] :
( ( model @ I @ F )
<=> ~ ( model @ I @ ( not @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
thf(8,axiom,
! [I: $i,F: $i] :
( ( model @ I @ F )
<~> ( model @ I @ ( not @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',completeness) ).
thf(9,axiom,
! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
<~> ( status @ Ax @ C @ S2 ) )
<=> ( xora @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xora) ).
thf(10,axiom,
! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ~ ( status @ Ax @ C @ S2 ) )
<=> ( nevera @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera) ).
thf(11,axiom,
! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ~ ( status @ Ax @ C @ S2 ) )
<=> ( nota @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
thf(12,axiom,
! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ( status @ Ax @ C @ S2 ) )
<=> ( isa @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
thf(13,axiom,
! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ( status @ Ax @ C @ S2 ) )
<=> ( mighta @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
thf(14,conjecture,
! [S1: $i] : ( isa @ S1 @ S1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_reflexive) ).
thf(15,negated_conjecture,
( ( ! [S1: $i] : ( isa @ S1 @ S1 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,plain,
( ( ! [S1: $i] : ( isa @ S1 @ S1 ) )
= $false ),
inference(unfold_def,[status(thm)],[15]) ).
thf(17,plain,
( ( ? [I1: $i,Ax: $i,C: $i] :
( ( model @ I1 @ Ax )
& ~ ( model @ I1 @ C )
& ? [I2: $i] : ( model @ I2 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
( ( ? [Ax: $i,C: $i] :
( ? [I1: $i] : ( model @ I1 @ Ax )
& ! [I2: $i] :
( ( model @ I2 @ Ax )
=> ( model @ I2 @ C ) )
& ? [I3: $i] :
( ~ ( model @ I3 @ Ax )
& ( model @ I3 @ C ) )
& ? [I4: $i] :
~ ( model @ I4 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
( ( ? [Ax: $i,C: $i] :
( ? [I1: $i] :
( ( model @ I1 @ Ax )
& ( model @ I1 @ C ) )
& ? [I2: $i] :
( ~ ( model @ I2 @ Ax )
| ~ ( model @ I2 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
( ( ? [F: $i] :
! [I: $i] :
~ ( model @ I @ F ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( ? [F: $i] :
( ? [I1: $i] : ( model @ I1 @ F )
& ? [I2: $i] :
~ ( model @ I2 @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( ? [F: $i] :
! [I: $i] : ( model @ I @ F ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( ! [I: $i,F: $i] :
( ( model @ I @ F )
<=> ~ ( model @ I @ ( not @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ! [I: $i,F: $i] :
( ( model @ I @ F )
<~> ( model @ I @ ( not @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
<~> ( status @ Ax @ C @ S2 ) )
<=> ( xora @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ~ ( status @ Ax @ C @ S2 ) )
<=> ( nevera @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( ! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ~ ( status @ Ax @ C @ S2 ) )
<=> ( nota @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ( status @ Ax @ C @ S2 ) )
<=> ( isa @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( ! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ( status @ Ax @ C @ S2 ) )
<=> ( mighta @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(30,plain,
( ( isa @ sK1_S1 @ sK1_S1 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(31,plain,
( ( ~ ( isa @ sK1_S1 @ sK1_S1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(32,plain,
( ( ( model @ sK2_I1 @ sK3_SY46 )
& ~ ( model @ sK2_I1 @ sK4_SY49 )
& ( model @ sK5_SY51 @ sK4_SY49 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(33,plain,
( ( ! [SY57: $i] :
( ~ ( model @ SY57 @ sK6_Ax )
| ( model @ SY57 @ sK7_SY52 ) )
& ( model @ sK10_SY54 @ sK6_Ax )
& ~ ( model @ sK9_SY59 @ sK6_Ax )
& ( model @ sK9_SY59 @ sK7_SY52 )
& ~ ( model @ sK8_SY60 @ sK7_SY52 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(34,plain,
( ( ( model @ sK15_SY65 @ sK11_Ax )
& ( model @ sK15_SY65 @ sK12_SY61 )
& ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(35,plain,
( ( ! [SY68: $i] :
~ ( model @ SY68 @ sK16_F ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(36,plain,
( ( ( model @ sK19_SY69 @ sK17_F )
& ~ ( model @ sK18_SY70 @ sK17_F ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(37,plain,
( ( ! [SY71: $i] : ( model @ SY71 @ sK20_F ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(38,plain,
( ( ! [I: $i,F: $i] :
( ~ ( model @ I @ F )
| ~ ( model @ I @ ( not @ F ) ) )
& ! [I: $i,F: $i] :
( ( model @ I @ ( not @ F ) )
| ( model @ I @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(39,plain,
( ( ! [I: $i,F: $i] :
( ~ ( model @ I @ F )
| ~ ( model @ I @ ( not @ F ) ) )
& ! [I: $i,F: $i] :
( ( model @ I @ F )
| ( model @ I @ ( not @ F ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(40,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S1 )
| ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S2 ) )
& ( ~ ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S2 )
| ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S1 ) ) )
| ( xora @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( xora @ S1 @ S2 )
| ( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) )
& ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(41,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( status @ ( sK23_Ax @ S2 @ S1 ) @ ( sK24_SY73 @ S2 @ S1 ) @ S1 )
& ( status @ ( sK23_Ax @ S2 @ S1 ) @ ( sK24_SY73 @ S2 @ S1 ) @ S2 ) )
| ( nevera @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( nevera @ S1 @ S2 )
| ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(42,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) )
| ( nota @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( nota @ S1 @ S2 )
| ( ( status @ ( sK25_Ax @ S2 @ S1 ) @ ( sK26_SY74 @ S2 @ S1 ) @ S1 )
& ~ ( status @ ( sK25_Ax @ S2 @ S1 ) @ ( sK26_SY74 @ S2 @ S1 ) @ S2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(43,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( status @ ( sK27_Ax @ S2 @ S1 ) @ ( sK28_SY75 @ S2 @ S1 ) @ S1 )
& ~ ( status @ ( sK27_Ax @ S2 @ S1 ) @ ( sK28_SY75 @ S2 @ S1 ) @ S2 ) )
| ( isa @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( isa @ S1 @ S2 )
| ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(44,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) )
| ( mighta @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( mighta @ S1 @ S2 )
| ( ( status @ ( sK29_Ax @ S2 @ S1 ) @ ( sK30_SY76 @ S2 @ S1 ) @ S1 )
& ( status @ ( sK29_Ax @ S2 @ S1 ) @ ( sK30_SY76 @ S2 @ S1 ) @ S2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(45,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) )
| ( mighta @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( mighta @ S1 @ S2 )
| ( ( status @ ( sK29_Ax @ S2 @ S1 ) @ ( sK30_SY76 @ S2 @ S1 ) @ S1 )
& ( status @ ( sK29_Ax @ S2 @ S1 ) @ ( sK30_SY76 @ S2 @ S1 ) @ S2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(46,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( status @ ( sK27_Ax @ S2 @ S1 ) @ ( sK28_SY75 @ S2 @ S1 ) @ S1 )
& ~ ( status @ ( sK27_Ax @ S2 @ S1 ) @ ( sK28_SY75 @ S2 @ S1 ) @ S2 ) )
| ( isa @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( isa @ S1 @ S2 )
| ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(47,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) )
| ( nota @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( nota @ S1 @ S2 )
| ( ( status @ ( sK25_Ax @ S2 @ S1 ) @ ( sK26_SY74 @ S2 @ S1 ) @ S1 )
& ~ ( status @ ( sK25_Ax @ S2 @ S1 ) @ ( sK26_SY74 @ S2 @ S1 ) @ S2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(48,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( status @ ( sK23_Ax @ S2 @ S1 ) @ ( sK24_SY73 @ S2 @ S1 ) @ S1 )
& ( status @ ( sK23_Ax @ S2 @ S1 ) @ ( sK24_SY73 @ S2 @ S1 ) @ S2 ) )
| ( nevera @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( nevera @ S1 @ S2 )
| ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [S1: $i,S2: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S1 )
| ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S2 ) )
& ( ~ ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S2 )
| ( status @ ( sK21_Ax @ S2 @ S1 ) @ ( sK22_SY72 @ S2 @ S1 ) @ S1 ) ) )
| ( xora @ S1 @ S2 ) )
& ! [S1: $i,S2: $i] :
( ~ ( xora @ S1 @ S2 )
| ( ! [Ax: $i,C: $i] :
( ~ ( status @ Ax @ C @ S1 )
| ~ ( status @ Ax @ C @ S2 ) )
& ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
| ( status @ Ax @ C @ S2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(50,plain,
( ( ! [I: $i,F: $i] :
( ~ ( model @ I @ F )
| ~ ( model @ I @ ( not @ F ) ) )
& ! [I: $i,F: $i] :
( ( model @ I @ F )
| ( model @ I @ ( not @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(51,plain,
( ( ! [I: $i,F: $i] :
( ~ ( model @ I @ F )
| ~ ( model @ I @ ( not @ F ) ) )
& ! [I: $i,F: $i] :
( ( model @ I @ ( not @ F ) )
| ( model @ I @ F ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(52,plain,
( ( ! [SY71: $i] : ( model @ SY71 @ sK20_F ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(53,plain,
( ( ( model @ sK19_SY69 @ sK17_F )
& ~ ( model @ sK18_SY70 @ sK17_F ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(54,plain,
( ( ! [SY68: $i] :
~ ( model @ SY68 @ sK16_F ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(55,plain,
( ( ( model @ sK15_SY65 @ sK11_Ax )
& ( model @ sK15_SY65 @ sK12_SY61 )
& ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(56,plain,
( ( ! [SY57: $i] :
( ~ ( model @ SY57 @ sK6_Ax )
| ( model @ SY57 @ sK7_SY52 ) )
& ( model @ sK10_SY54 @ sK6_Ax )
& ~ ( model @ sK9_SY59 @ sK6_Ax )
& ( model @ sK9_SY59 @ sK7_SY52 )
& ~ ( model @ sK8_SY60 @ sK7_SY52 ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(57,plain,
( ( ( model @ sK2_I1 @ sK3_SY46 )
& ~ ( model @ sK2_I1 @ sK4_SY49 )
& ( model @ sK5_SY51 @ sK4_SY49 ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(58,plain,
( ( ~ ( isa @ sK1_S1 @ sK1_S1 ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(59,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ ( not @ SX1 ) )
| ( model @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX1 ) )
| ( isa @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( isa @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(61,plain,
( ( ~ ( ~ ~ ( ~ ( model @ sK2_I1 @ sK3_SY46 )
| ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) )
| ~ ( model @ sK5_SY51 @ sK4_SY49 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(62,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) )
| ( nota @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( nota @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(63,plain,
( ( ~ ( ~ ( model @ sK19_SY69 @ sK17_F )
| ~ ~ ( model @ sK18_SY70 @ sK17_F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(64,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ( mighta @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( mighta @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(65,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX1 ) )
| ( nevera @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( nevera @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(66,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
| ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) )
| ~ ~ ( model @ sK8_SY60 @ sK7_SY52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ( ~ ~ ( ~ ( model @ sK15_SY65 @ sK11_Ax )
| ~ ( model @ sK15_SY65 @ sK12_SY61 ) )
| ~ ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(68,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 ) ) )
| ( xora @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( xora @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(69,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ SX1 )
| ( model @ SX0 @ ( not @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(70,plain,
! [SV1: $i] :
( ( model @ SV1 @ sK20_F )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(71,plain,
! [SV2: $i] :
( ( ~ ( model @ SV2 @ sK16_F ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(72,plain,
( ( isa @ sK1_S1 @ sK1_S1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(73,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ ( not @ SX1 ) )
| ( model @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(74,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX1 ) )
| ( isa @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( isa @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(75,plain,
( ( ~ ~ ( ~ ( model @ sK2_I1 @ sK3_SY46 )
| ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) )
| ~ ( model @ sK5_SY51 @ sK4_SY49 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) )
| ( nota @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( nota @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(77,plain,
( ( ~ ( model @ sK19_SY69 @ sK17_F )
| ~ ~ ( model @ sK18_SY70 @ sK17_F ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(78,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ( mighta @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( mighta @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(79,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX1 ) )
| ( nevera @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( nevera @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(80,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
| ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) )
| ~ ~ ( model @ sK8_SY60 @ sK7_SY52 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(81,plain,
( ( ~ ~ ( ~ ( model @ sK15_SY65 @ sK11_Ax )
| ~ ( model @ sK15_SY65 @ sK12_SY61 ) )
| ~ ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(82,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 ) ) )
| ( xora @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( xora @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(83,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ SX1 )
| ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(84,plain,
! [SV2: $i] :
( ( model @ SV2 @ sK16_F )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(85,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ ( not @ SX1 ) )
| ( model @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(87,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX1 ) )
| ( isa @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(88,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( isa @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(89,plain,
( ( ~ ~ ( ~ ( model @ sK2_I1 @ sK3_SY46 )
| ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(90,plain,
( ( ~ ( model @ sK5_SY51 @ sK4_SY49 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(91,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) )
| ( nota @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(92,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( nota @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(93,plain,
( ( ~ ( model @ sK19_SY69 @ sK17_F ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(94,plain,
( ( ~ ~ ( model @ sK18_SY70 @ sK17_F ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(95,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ( mighta @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(96,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( mighta @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(97,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX1 ) )
| ( nevera @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(98,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( nevera @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(99,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
| ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(100,plain,
( ( ~ ~ ( model @ sK8_SY60 @ sK7_SY52 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(101,plain,
( ( ~ ~ ( ~ ( model @ sK15_SY65 @ sK11_Ax )
| ~ ( model @ sK15_SY65 @ sK12_SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(102,plain,
( ( ~ ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(103,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 ) ) )
| ( xora @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(104,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( xora @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(105,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(106,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ SX1 )
| ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(107,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(108,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ ( not @ SX1 ) )
| ( model @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(109,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK27_Ax @ SX1 @ SX0 ) @ ( sK28_SY75 @ SX1 @ SX0 ) @ SX1 ) )
| ( isa @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( isa @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(111,plain,
( ( ~ ( ~ ( model @ sK2_I1 @ sK3_SY46 )
| ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(112,plain,
( ( model @ sK5_SY51 @ sK4_SY49 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) )
| ( nota @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(114,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( nota @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( status @ ( sK25_Ax @ SX1 @ SX0 ) @ ( sK26_SY74 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(115,plain,
( ( model @ sK19_SY69 @ sK17_F )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(116,plain,
( ( ~ ( model @ sK18_SY70 @ sK17_F ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ( mighta @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(118,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( mighta @ SX0 @ SX1 )
| ~ ( ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK29_Ax @ SX1 @ SX0 ) @ ( sK30_SY76 @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX0 )
| ~ ( status @ ( sK23_Ax @ SX1 @ SX0 ) @ ( sK24_SY73 @ SX1 @ SX0 ) @ SX1 ) )
| ( nevera @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( nevera @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(121,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
| ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(122,plain,
( ( ~ ( model @ sK8_SY60 @ sK7_SY52 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(123,plain,
( ( ~ ( ~ ( model @ sK15_SY65 @ sK11_Ax )
| ~ ( model @ sK15_SY65 @ sK12_SY61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(124,plain,
( ( ~ ( model @ sK14_SY63 @ sK11_Ax )
| ~ ( model @ sK13_SY67 @ sK12_SY61 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(125,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX1 )
| ( status @ ( sK21_Ax @ SX1 @ SX0 ) @ ( sK22_SY72 @ SX1 @ SX0 ) @ SX0 ) ) )
| ( xora @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( xora @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( model @ SX0 @ SX1 )
| ~ ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( model @ SX0 @ SX1 )
| ( model @ SX0 @ ( not @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(129,plain,
! [SV3: $i] :
( ( ! [SY77: $i] :
( ~ ( model @ SV3 @ SY77 )
| ~ ( model @ SV3 @ ( not @ SY77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(130,plain,
! [SV4: $i] :
( ( ! [SY78: $i] :
( ( model @ SV4 @ ( not @ SY78 ) )
| ( model @ SV4 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(131,plain,
! [SV5: $i] :
( ( ! [SY79: $i] :
( ~ ( ~ ( status @ ( sK27_Ax @ SY79 @ SV5 ) @ ( sK28_SY75 @ SY79 @ SV5 ) @ SV5 )
| ~ ~ ( status @ ( sK27_Ax @ SY79 @ SV5 ) @ ( sK28_SY75 @ SY79 @ SV5 ) @ SY79 ) )
| ( isa @ SV5 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(132,plain,
! [SV6: $i] :
( ( ! [SY80: $i] :
( ~ ( isa @ SV6 @ SY80 )
| ! [SY81: $i,SY82: $i] :
( ~ ( status @ SY81 @ SY82 @ SV6 )
| ( status @ SY81 @ SY82 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(133,plain,
( ( ~ ( model @ sK2_I1 @ sK3_SY46 )
| ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(134,plain,
! [SV7: $i] :
( ( ! [SY83: $i] :
( ! [SY84: $i,SY85: $i] :
( ~ ( status @ SY84 @ SY85 @ SV7 )
| ( status @ SY84 @ SY85 @ SY83 ) )
| ( nota @ SV7 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV8: $i] :
( ( ! [SY86: $i] :
( ~ ( nota @ SV8 @ SY86 )
| ~ ( ~ ( status @ ( sK25_Ax @ SY86 @ SV8 ) @ ( sK26_SY74 @ SY86 @ SV8 ) @ SV8 )
| ~ ~ ( status @ ( sK25_Ax @ SY86 @ SV8 ) @ ( sK26_SY74 @ SY86 @ SV8 ) @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(136,plain,
( ( model @ sK18_SY70 @ sK17_F )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV9: $i] :
( ( ! [SY87: $i] :
( ! [SY88: $i,SY89: $i] :
( ~ ( status @ SY88 @ SY89 @ SV9 )
| ~ ( status @ SY88 @ SY89 @ SY87 ) )
| ( mighta @ SV9 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV10: $i] :
( ( ! [SY90: $i] :
( ~ ( mighta @ SV10 @ SY90 )
| ~ ( ~ ( status @ ( sK29_Ax @ SY90 @ SV10 ) @ ( sK30_SY76 @ SY90 @ SV10 ) @ SV10 )
| ~ ( status @ ( sK29_Ax @ SY90 @ SV10 ) @ ( sK30_SY76 @ SY90 @ SV10 ) @ SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV11: $i] :
( ( ! [SY91: $i] :
( ~ ( ~ ( status @ ( sK23_Ax @ SY91 @ SV11 ) @ ( sK24_SY73 @ SY91 @ SV11 ) @ SV11 )
| ~ ( status @ ( sK23_Ax @ SY91 @ SV11 ) @ ( sK24_SY73 @ SY91 @ SV11 ) @ SY91 ) )
| ( nevera @ SV11 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV12: $i] :
( ( ! [SY92: $i] :
( ~ ( nevera @ SV12 @ SY92 )
| ! [SY93: $i,SY94: $i] :
( ~ ( status @ SY93 @ SY94 @ SV12 )
| ~ ( status @ SY93 @ SY94 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(141,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
| ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(142,plain,
( ( model @ sK8_SY60 @ sK7_SY52 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(143,plain,
( ( ~ ( model @ sK15_SY65 @ sK11_Ax )
| ~ ( model @ sK15_SY65 @ sK12_SY61 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
( ( ( ~ ( model @ sK14_SY63 @ sK11_Ax ) )
= $true )
| ( ( ~ ( model @ sK13_SY67 @ sK12_SY61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(145,plain,
! [SV13: $i] :
( ( ! [SY95: $i] :
( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SY95 @ SV13 ) @ ( sK22_SY72 @ SY95 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SY95 @ SV13 ) @ ( sK22_SY72 @ SY95 @ SV13 ) @ SY95 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SY95 @ SV13 ) @ ( sK22_SY72 @ SY95 @ SV13 ) @ SY95 )
| ( status @ ( sK21_Ax @ SY95 @ SV13 ) @ ( sK22_SY72 @ SY95 @ SV13 ) @ SV13 ) ) )
| ( xora @ SV13 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(146,plain,
! [SV14: $i] :
( ( ! [SY96: $i] :
( ~ ( xora @ SV14 @ SY96 )
| ~ ( ~ ! [SY97: $i,SY98: $i] :
( ~ ( status @ SY97 @ SY98 @ SV14 )
| ~ ( status @ SY97 @ SY98 @ SY96 ) )
| ~ ! [SY99: $i,SY100: $i] :
( ( status @ SY99 @ SY100 @ SV14 )
| ( status @ SY99 @ SY100 @ SY96 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(147,plain,
! [SV15: $i] :
( ( ! [SY101: $i] :
( ~ ( model @ SV15 @ SY101 )
| ~ ( model @ SV15 @ ( not @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(148,plain,
! [SV16: $i] :
( ( ! [SY102: $i] :
( ( model @ SV16 @ SY102 )
| ( model @ SV16 @ ( not @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(149,plain,
! [SV17: $i,SV3: $i] :
( ( ~ ( model @ SV3 @ SV17 )
| ~ ( model @ SV3 @ ( not @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV18: $i,SV4: $i] :
( ( ( model @ SV4 @ ( not @ SV18 ) )
| ( model @ SV4 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(151,plain,
! [SV5: $i,SV19: $i] :
( ( ~ ( ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV5 )
| ~ ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 ) )
| ( isa @ SV5 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(152,plain,
! [SV20: $i,SV6: $i] :
( ( ~ ( isa @ SV6 @ SV20 )
| ! [SY103: $i,SY104: $i] :
( ~ ( status @ SY103 @ SY104 @ SV6 )
| ( status @ SY103 @ SY104 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(153,plain,
( ( ~ ( model @ sK2_I1 @ sK3_SY46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(154,plain,
( ( ~ ~ ( model @ sK2_I1 @ sK4_SY49 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(155,plain,
! [SV21: $i,SV7: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ( status @ SY105 @ SY106 @ SV7 )
| ( status @ SY105 @ SY106 @ SV21 ) )
| ( nota @ SV7 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(156,plain,
! [SV22: $i,SV8: $i] :
( ( ~ ( nota @ SV8 @ SV22 )
| ~ ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 )
| ~ ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(157,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( status @ SY107 @ SY108 @ SV9 )
| ~ ( status @ SY107 @ SY108 @ SV23 ) )
| ( mighta @ SV9 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(158,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( mighta @ SV10 @ SV24 )
| ~ ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 )
| ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(159,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV11 )
| ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV25 ) )
| ( nevera @ SV11 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(160,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( nevera @ SV12 @ SV26 )
| ! [SY109: $i,SY110: $i] :
( ~ ( status @ SY109 @ SY110 @ SV12 )
| ~ ( status @ SY109 @ SY110 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(161,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(162,plain,
( ( ~ ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(163,plain,
( ( ~ ( model @ sK15_SY65 @ sK11_Ax ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(164,plain,
( ( ~ ( model @ sK15_SY65 @ sK12_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(165,plain,
( ( ( model @ sK14_SY63 @ sK11_Ax )
= $false )
| ( ( ~ ( model @ sK13_SY67 @ sK12_SY61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(166,plain,
! [SV13: $i,SV27: $i] :
( ( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) ) )
| ( xora @ SV13 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(167,plain,
! [SV28: $i,SV14: $i] :
( ( ~ ( xora @ SV14 @ SV28 )
| ~ ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(168,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( model @ SV15 @ SV29 )
| ~ ( model @ SV15 @ ( not @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(169,plain,
! [SV30: $i,SV16: $i] :
( ( ( model @ SV16 @ SV30 )
| ( model @ SV16 @ ( not @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(170,plain,
! [SV17: $i,SV3: $i] :
( ( ( ~ ( model @ SV3 @ SV17 ) )
= $true )
| ( ( ~ ( model @ SV3 @ ( not @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(171,plain,
! [SV18: $i,SV4: $i] :
( ( ( model @ SV4 @ ( not @ SV18 ) )
= $true )
| ( ( model @ SV4 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV5 )
| ~ ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 ) ) )
= $true )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV20: $i,SV6: $i] :
( ( ( ~ ( isa @ SV6 @ SV20 ) )
= $true )
| ( ( ! [SY103: $i,SY104: $i] :
( ~ ( status @ SY103 @ SY104 @ SV6 )
| ( status @ SY103 @ SY104 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(174,plain,
( ( model @ sK2_I1 @ sK3_SY46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(175,plain,
( ( ~ ( model @ sK2_I1 @ sK4_SY49 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(176,plain,
! [SV21: $i,SV7: $i] :
( ( ( ! [SY105: $i,SY106: $i] :
( ~ ( status @ SY105 @ SY106 @ SV7 )
| ( status @ SY105 @ SY106 @ SV21 ) ) )
= $true )
| ( ( nota @ SV7 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV22: $i,SV8: $i] :
( ( ( ~ ( nota @ SV8 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 )
| ~ ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV23: $i,SV9: $i] :
( ( ( ! [SY107: $i,SY108: $i] :
( ~ ( status @ SY107 @ SY108 @ SV9 )
| ~ ( status @ SY107 @ SY108 @ SV23 ) ) )
= $true )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mighta @ SV10 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 )
| ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV11: $i,SV25: $i] :
( ( ( ~ ( ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV11 )
| ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV25 ) ) )
= $true )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( nevera @ SV12 @ SV26 ) )
= $true )
| ( ( ! [SY109: $i,SY110: $i] :
( ~ ( status @ SY109 @ SY110 @ SV12 )
| ~ ( status @ SY109 @ SY110 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(182,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(183,plain,
( ( ~ ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(184,plain,
( ( model @ sK15_SY65 @ sK11_Ax )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(185,plain,
( ( model @ sK15_SY65 @ sK12_SY61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(186,plain,
( ( ( model @ sK13_SY67 @ sK12_SY61 )
= $false )
| ( ( model @ sK14_SY63 @ sK11_Ax )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) ) ) )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( xora @ SV14 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(189,plain,
! [SV29: $i,SV15: $i] :
( ( ( ~ ( model @ SV15 @ SV29 ) )
= $true )
| ( ( ~ ( model @ SV15 @ ( not @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV30: $i,SV16: $i] :
( ( ( model @ SV16 @ SV30 )
= $true )
| ( ( model @ SV16 @ ( not @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(191,plain,
! [SV17: $i,SV3: $i] :
( ( ( model @ SV3 @ SV17 )
= $false )
| ( ( ~ ( model @ SV3 @ ( not @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV5 )
| ~ ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 ) )
= $false )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(193,plain,
! [SV20: $i,SV6: $i] :
( ( ( isa @ SV6 @ SV20 )
= $false )
| ( ( ! [SY103: $i,SY104: $i] :
( ~ ( status @ SY103 @ SY104 @ SV6 )
| ( status @ SY103 @ SY104 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(194,plain,
( ( model @ sK2_I1 @ sK4_SY49 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(195,plain,
! [SV21: $i,SV7: $i,SV31: $i] :
( ( ( ! [SY115: $i] :
( ~ ( status @ SV31 @ SY115 @ SV7 )
| ( status @ SV31 @ SY115 @ SV21 ) ) )
= $true )
| ( ( nota @ SV7 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(196,plain,
! [SV22: $i,SV8: $i] :
( ( ( nota @ SV8 @ SV22 )
= $false )
| ( ( ~ ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 )
| ~ ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(197,plain,
! [SV23: $i,SV9: $i,SV32: $i] :
( ( ( ! [SY116: $i] :
( ~ ( status @ SV32 @ SY116 @ SV9 )
| ~ ( status @ SV32 @ SY116 @ SV23 ) ) )
= $true )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(198,plain,
! [SV24: $i,SV10: $i] :
( ( ( mighta @ SV10 @ SV24 )
= $false )
| ( ( ~ ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 )
| ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(199,plain,
! [SV11: $i,SV25: $i] :
( ( ( ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV11 )
| ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV25 ) )
= $false )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(200,plain,
! [SV26: $i,SV12: $i] :
( ( ( nevera @ SV12 @ SV26 )
= $false )
| ( ( ! [SY109: $i,SY110: $i] :
( ~ ( status @ SY109 @ SY110 @ SV12 )
| ~ ( status @ SY109 @ SY110 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(201,plain,
( ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) )
| ~ ( model @ sK10_SY54 @ sK6_Ax ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(202,plain,
( ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax )
| ~ ( model @ sK9_SY59 @ sK7_SY52 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(203,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) )
| ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) ) )
= $false )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(204,plain,
! [SV28: $i,SV14: $i] :
( ( ( xora @ SV14 @ SV28 )
= $false )
| ( ( ~ ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(205,plain,
! [SV29: $i,SV15: $i] :
( ( ( model @ SV15 @ SV29 )
= $false )
| ( ( ~ ( model @ SV15 @ ( not @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(206,plain,
! [SV17: $i,SV3: $i] :
( ( ( model @ SV3 @ ( not @ SV17 ) )
= $false )
| ( ( model @ SV3 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(207,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV5 ) )
= $false )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(208,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 ) )
= $false )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(209,plain,
! [SV20: $i,SV6: $i,SV33: $i] :
( ( ( ! [SY117: $i] :
( ~ ( status @ SV33 @ SY117 @ SV6 )
| ( status @ SV33 @ SY117 @ SV20 ) ) )
= $true )
| ( ( isa @ SV6 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(210,plain,
! [SV21: $i,SV7: $i,SV34: $i,SV31: $i] :
( ( ( ~ ( status @ SV31 @ SV34 @ SV7 )
| ( status @ SV31 @ SV34 @ SV21 ) )
= $true )
| ( ( nota @ SV7 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(211,plain,
! [SV8: $i,SV22: $i] :
( ( ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 )
| ~ ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) )
= $false )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(212,plain,
! [SV23: $i,SV9: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( status @ SV32 @ SV35 @ SV9 )
| ~ ( status @ SV32 @ SV35 @ SV23 ) )
= $true )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(213,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 )
| ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 ) )
= $false )
| ( ( mighta @ SV10 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(214,plain,
! [SV11: $i,SV25: $i] :
( ( ( ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV11 ) )
= $false )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(215,plain,
! [SV11: $i,SV25: $i] :
( ( ( ~ ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV25 ) )
= $false )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(216,plain,
! [SV26: $i,SV12: $i,SV36: $i] :
( ( ( ! [SY118: $i] :
( ~ ( status @ SV36 @ SY118 @ SV12 )
| ~ ( status @ SV36 @ SY118 @ SV26 ) ) )
= $true )
| ( ( nevera @ SV12 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(217,plain,
( ( ~ ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(218,plain,
( ( ~ ( model @ sK10_SY54 @ sK6_Ax ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(219,plain,
( ( ~ ~ ( model @ sK9_SY59 @ sK6_Ax ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(220,plain,
( ( ~ ( model @ sK9_SY59 @ sK7_SY52 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(221,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) ) )
= $false )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(222,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) ) )
= $false )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(223,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) )
= $false )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(224,plain,
! [SV29: $i,SV15: $i] :
( ( ( model @ SV15 @ ( not @ SV29 ) )
= $false )
| ( ( model @ SV15 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(225,plain,
! [SV5: $i,SV19: $i] :
( ( ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV5 )
= $true )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(226,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 ) )
= $true )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(227,plain,
! [SV20: $i,SV6: $i,SV37: $i,SV33: $i] :
( ( ( ~ ( status @ SV33 @ SV37 @ SV6 )
| ( status @ SV33 @ SV37 @ SV20 ) )
= $true )
| ( ( isa @ SV6 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(228,plain,
! [SV21: $i,SV7: $i,SV34: $i,SV31: $i] :
( ( ( ~ ( status @ SV31 @ SV34 @ SV7 ) )
= $true )
| ( ( status @ SV31 @ SV34 @ SV21 )
= $true )
| ( ( nota @ SV7 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(229,plain,
! [SV8: $i,SV22: $i] :
( ( ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 ) )
= $false )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(230,plain,
! [SV8: $i,SV22: $i] :
( ( ( ~ ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) )
= $false )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(231,plain,
! [SV23: $i,SV9: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( status @ SV32 @ SV35 @ SV9 ) )
= $true )
| ( ( ~ ( status @ SV32 @ SV35 @ SV23 ) )
= $true )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(232,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 ) )
= $false )
| ( ( mighta @ SV10 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(233,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 ) )
= $false )
| ( ( mighta @ SV10 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(234,plain,
! [SV11: $i,SV25: $i] :
( ( ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV11 )
= $true )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(235,plain,
! [SV11: $i,SV25: $i] :
( ( ( status @ ( sK23_Ax @ SV25 @ SV11 ) @ ( sK24_SY73 @ SV25 @ SV11 ) @ SV25 )
= $true )
| ( ( nevera @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(236,plain,
! [SV26: $i,SV12: $i,SV38: $i,SV36: $i] :
( ( ( ~ ( status @ SV36 @ SV38 @ SV12 )
| ~ ( status @ SV36 @ SV38 @ SV26 ) )
= $true )
| ( ( nevera @ SV12 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(237,plain,
( ( ! [SX0: $i] :
( ~ ( model @ SX0 @ sK6_Ax )
| ( model @ SX0 @ sK7_SY52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(238,plain,
( ( model @ sK10_SY54 @ sK6_Ax )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(239,plain,
( ( ~ ( model @ sK9_SY59 @ sK6_Ax ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(240,plain,
( ( model @ sK9_SY59 @ sK7_SY52 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(241,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(242,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
| ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(243,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) ) )
= $false )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(244,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) )
= $false )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(245,plain,
! [SV5: $i,SV19: $i] :
( ( ( status @ ( sK27_Ax @ SV19 @ SV5 ) @ ( sK28_SY75 @ SV19 @ SV5 ) @ SV19 )
= $false )
| ( ( isa @ SV5 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(246,plain,
! [SV20: $i,SV6: $i,SV37: $i,SV33: $i] :
( ( ( ~ ( status @ SV33 @ SV37 @ SV6 ) )
= $true )
| ( ( status @ SV33 @ SV37 @ SV20 )
= $true )
| ( ( isa @ SV6 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(247,plain,
! [SV21: $i,SV7: $i,SV34: $i,SV31: $i] :
( ( ( status @ SV31 @ SV34 @ SV7 )
= $false )
| ( ( status @ SV31 @ SV34 @ SV21 )
= $true )
| ( ( nota @ SV7 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(248,plain,
! [SV8: $i,SV22: $i] :
( ( ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV8 )
= $true )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(249,plain,
! [SV8: $i,SV22: $i] :
( ( ( ~ ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 ) )
= $true )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(250,plain,
! [SV23: $i,SV9: $i,SV35: $i,SV32: $i] :
( ( ( status @ SV32 @ SV35 @ SV9 )
= $false )
| ( ( ~ ( status @ SV32 @ SV35 @ SV23 ) )
= $true )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(251,plain,
! [SV10: $i,SV24: $i] :
( ( ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV10 )
= $true )
| ( ( mighta @ SV10 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(252,plain,
! [SV10: $i,SV24: $i] :
( ( ( status @ ( sK29_Ax @ SV24 @ SV10 ) @ ( sK30_SY76 @ SV24 @ SV10 ) @ SV24 )
= $true )
| ( ( mighta @ SV10 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(253,plain,
! [SV26: $i,SV12: $i,SV38: $i,SV36: $i] :
( ( ( ~ ( status @ SV36 @ SV38 @ SV12 ) )
= $true )
| ( ( ~ ( status @ SV36 @ SV38 @ SV26 ) )
= $true )
| ( ( nevera @ SV12 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(254,plain,
! [SV39: $i] :
( ( ~ ( model @ SV39 @ sK6_Ax )
| ( model @ SV39 @ sK7_SY52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(255,plain,
( ( model @ sK9_SY59 @ sK6_Ax )
= $false ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(256,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 ) )
= $true )
| ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(257,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 ) )
= $true )
| ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(258,plain,
! [SV28: $i,SV14: $i] :
( ( ( ! [SY111: $i,SY112: $i] :
( ~ ( status @ SY111 @ SY112 @ SV14 )
| ~ ( status @ SY111 @ SY112 @ SV28 ) ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(259,plain,
! [SV28: $i,SV14: $i] :
( ( ( ! [SY113: $i,SY114: $i] :
( ( status @ SY113 @ SY114 @ SV14 )
| ( status @ SY113 @ SY114 @ SV28 ) ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(260,plain,
! [SV20: $i,SV6: $i,SV37: $i,SV33: $i] :
( ( ( status @ SV33 @ SV37 @ SV6 )
= $false )
| ( ( status @ SV33 @ SV37 @ SV20 )
= $true )
| ( ( isa @ SV6 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(261,plain,
! [SV8: $i,SV22: $i] :
( ( ( status @ ( sK25_Ax @ SV22 @ SV8 ) @ ( sK26_SY74 @ SV22 @ SV8 ) @ SV22 )
= $false )
| ( ( nota @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV9: $i,SV23: $i,SV35: $i,SV32: $i] :
( ( ( status @ SV32 @ SV35 @ SV23 )
= $false )
| ( ( status @ SV32 @ SV35 @ SV9 )
= $false )
| ( ( mighta @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV26: $i,SV12: $i,SV38: $i,SV36: $i] :
( ( ( status @ SV36 @ SV38 @ SV12 )
= $false )
| ( ( ~ ( status @ SV36 @ SV38 @ SV26 ) )
= $true )
| ( ( nevera @ SV12 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV39: $i] :
( ( ( ~ ( model @ SV39 @ sK6_Ax ) )
= $true )
| ( ( model @ SV39 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(265,plain,
! [SV13: $i,SV27: $i] :
( ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
= $false )
| ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(266,plain,
! [SV13: $i,SV27: $i] :
( ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV27 )
= $false )
| ( ( status @ ( sK21_Ax @ SV27 @ SV13 ) @ ( sK22_SY72 @ SV27 @ SV13 ) @ SV13 )
= $true )
| ( ( xora @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(267,plain,
! [SV28: $i,SV14: $i,SV40: $i] :
( ( ( ! [SY119: $i] :
( ~ ( status @ SV40 @ SY119 @ SV14 )
| ~ ( status @ SV40 @ SY119 @ SV28 ) ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(268,plain,
! [SV28: $i,SV14: $i,SV41: $i] :
( ( ( ! [SY120: $i] :
( ( status @ SV41 @ SY120 @ SV14 )
| ( status @ SV41 @ SY120 @ SV28 ) ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(269,plain,
! [SV12: $i,SV26: $i,SV38: $i,SV36: $i] :
( ( ( status @ SV36 @ SV38 @ SV26 )
= $false )
| ( ( status @ SV36 @ SV38 @ SV12 )
= $false )
| ( ( nevera @ SV12 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(270,plain,
! [SV39: $i] :
( ( ( model @ SV39 @ sK6_Ax )
= $false )
| ( ( model @ SV39 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(271,plain,
! [SV28: $i,SV14: $i,SV42: $i,SV40: $i] :
( ( ( ~ ( status @ SV40 @ SV42 @ SV14 )
| ~ ( status @ SV40 @ SV42 @ SV28 ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(272,plain,
! [SV28: $i,SV14: $i,SV43: $i,SV41: $i] :
( ( ( ( status @ SV41 @ SV43 @ SV14 )
| ( status @ SV41 @ SV43 @ SV28 ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(273,plain,
! [SV28: $i,SV14: $i,SV42: $i,SV40: $i] :
( ( ( ~ ( status @ SV40 @ SV42 @ SV14 ) )
= $true )
| ( ( ~ ( status @ SV40 @ SV42 @ SV28 ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(274,plain,
! [SV28: $i,SV14: $i,SV43: $i,SV41: $i] :
( ( ( status @ SV41 @ SV43 @ SV14 )
= $true )
| ( ( status @ SV41 @ SV43 @ SV28 )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(275,plain,
! [SV28: $i,SV14: $i,SV42: $i,SV40: $i] :
( ( ( status @ SV40 @ SV42 @ SV14 )
= $false )
| ( ( ~ ( status @ SV40 @ SV42 @ SV28 ) )
= $true )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(276,plain,
! [SV14: $i,SV28: $i,SV42: $i,SV40: $i] :
( ( ( status @ SV40 @ SV42 @ SV28 )
= $false )
| ( ( status @ SV40 @ SV42 @ SV14 )
= $false )
| ( ( xora @ SV14 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(277,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,276,274,270,269,266,265,262,261,260,255,252,251,248,247,245,240,238,235,234,225,224,206,194,190,186,185,184,174,171,142,136,115,112,84,72]) ).
thf(278,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 17:09:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 13
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:13,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:15,loop_count:0,foatp_calls:0,translation:fof_full).................
% 0.18/0.48
% 0.18/0.48 ********************************
% 0.18/0.48 * All subproblems solved! *
% 0.18/0.48 ********************************
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:13,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:277,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.51
% 0.18/0.51 %**** Beginning of derivation protocol ****
% 0.18/0.51 % SZS output start CNFRefutation
% See solution above
% 0.18/0.51
% 0.18/0.51 %**** End of derivation protocol ****
% 0.18/0.51 %**** no. of clauses in derivation: 278 ****
% 0.18/0.51 %**** clause counter: 277 ****
% 0.18/0.51
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:13,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:277,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------