TSTP Solution File: SYN938+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN938+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 : n021.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 : Thu Jul 21 08:30:41 EDT 2022
% Result : Theorem 4.40s 4.63s
% Output : CNFRefutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 89
% Syntax : Number of formulae : 1278 ( 952 unt; 88 typ; 0 def)
% Number of atoms : 7404 (1500 equ; 0 cnn)
% Maximal formula atoms : 203 ( 6 avg)
% Number of connectives : 12408 (3657 ~;2111 |; 629 &;5537 @)
% ( 31 <=>; 443 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 88 usr; 70 con; 0-2 aty)
% Number of variables : 2361 ( 0 ^2034 !; 327 ?;2361 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i > $i > $o ).
thf(tp_a0,type,
a0: $o ).
thf(tp_a1,type,
a1: $i > $o ).
thf(tp_a_member_of,type,
a_member_of: $i > $i > $o ).
thf(tp_b,type,
b: $i > $o ).
thf(tp_b0,type,
b0: $o ).
thf(tp_c,type,
c: $i > $o ).
thf(tp_e,type,
e: $i > $o ).
thf(tp_eq,type,
eq: $i > $i > $o ).
thf(tp_f,type,
f: $i > $i ).
thf(tp_f0,type,
f0: $o ).
thf(tp_g,type,
g: $i > $o ).
thf(tp_g0,type,
g0: $o ).
thf(tp_p,type,
p: $i > $i > $o ).
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_q,type,
q: $i > $i > $o ).
thf(tp_q0,type,
q0: $o ).
thf(tp_q1,type,
q1: $i > $o ).
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_r1,type,
r1: $i > $o ).
thf(tp_s,type,
s: $i > $i > $o ).
thf(tp_s1,type,
s1: $i > $o ).
thf(tp_sK10_SY186,type,
sK10_SY186: $i ).
thf(tp_sK11_SY190,type,
sK11_SY190: $i ).
thf(tp_sK12_B,type,
sK12_B: $i ).
thf(tp_sK13_A,type,
sK13_A: $i ).
thf(tp_sK14_Y,type,
sK14_Y: $i ).
thf(tp_sK15_Y,type,
sK15_Y: $i ).
thf(tp_sK16_Y,type,
sK16_Y: $i ).
thf(tp_sK17_Y,type,
sK17_Y: $i ).
thf(tp_sK18_Y,type,
sK18_Y: $i > $i ).
thf(tp_sK19_A,type,
sK19_A: $i ).
thf(tp_sK1_C,type,
sK1_C: $i ).
thf(tp_sK20_SY194,type,
sK20_SY194: $i ).
thf(tp_sK21_SY198,type,
sK21_SY198: $i ).
thf(tp_sK22_A,type,
sK22_A: $i ).
thf(tp_sK23_SY199,type,
sK23_SY199: $i ).
thf(tp_sK24_X,type,
sK24_X: $i ).
thf(tp_sK25_X,type,
sK25_X: $i ).
thf(tp_sK26_A,type,
sK26_A: $i ).
thf(tp_sK27_SY206,type,
sK27_SY206: $i ).
thf(tp_sK28_X,type,
sK28_X: $i ).
thf(tp_sK29_X,type,
sK29_X: $i ).
thf(tp_sK2_SY141,type,
sK2_SY141: $i ).
thf(tp_sK30_X,type,
sK30_X: $i ).
thf(tp_sK31_Y,type,
sK31_Y: $i ).
thf(tp_sK32_X,type,
sK32_X: $i ).
thf(tp_sK33_X,type,
sK33_X: $i ).
thf(tp_sK34_X,type,
sK34_X: $i ).
thf(tp_sK35_SY215,type,
sK35_SY215: $i ).
thf(tp_sK36_Y,type,
sK36_Y: $i ).
thf(tp_sK37_SY216,type,
sK37_SY216: $i ).
thf(tp_sK38_B,type,
sK38_B: $i ).
thf(tp_sK39_A,type,
sK39_A: $i ).
thf(tp_sK3_B,type,
sK3_B: $i ).
thf(tp_sK40_Y,type,
sK40_Y: $i ).
thf(tp_sK41_X,type,
sK41_X: $i ).
thf(tp_sK42_X,type,
sK42_X: $i ).
thf(tp_sK43_Y,type,
sK43_Y: $i ).
thf(tp_sK44_X,type,
sK44_X: $i ).
thf(tp_sK45_X,type,
sK45_X: $i > $i ).
thf(tp_sK46_A,type,
sK46_A: $i ).
thf(tp_sK47_SY226,type,
sK47_SY226: $i ).
thf(tp_sK48_Z,type,
sK48_Z: $i > $i > $i ).
thf(tp_sK49_A,type,
sK49_A: $i ).
thf(tp_sK4_SY156,type,
sK4_SY156: $i ).
thf(tp_sK50_SY227,type,
sK50_SY227: $i ).
thf(tp_sK51_Y,type,
sK51_Y: $i ).
thf(tp_sK52_B,type,
sK52_B: $i ).
thf(tp_sK53_A,type,
sK53_A: $i ).
thf(tp_sK54_SY236,type,
sK54_SY236: $i ).
thf(tp_sK55_X,type,
sK55_X: $i ).
thf(tp_sK56_Y,type,
sK56_Y: $i ).
thf(tp_sK57_X,type,
sK57_X: $i ).
thf(tp_sK58_X,type,
sK58_X: $i ).
thf(tp_sK59_X,type,
sK59_X: $i ).
thf(tp_sK5_B,type,
sK5_B: $i ).
thf(tp_sK60_A,type,
sK60_A: $i ).
thf(tp_sK61_A,type,
sK61_A: $i ).
thf(tp_sK62_SY243,type,
sK62_SY243: $i ).
thf(tp_sK63_B,type,
sK63_B: $i ).
thf(tp_sK64_Y,type,
sK64_Y: $i ).
thf(tp_sK65_Y,type,
sK65_Y: $i ).
thf(tp_sK6_SY167,type,
sK6_SY167: $i ).
thf(tp_sK7_X,type,
sK7_X: $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_sK9_A,type,
sK9_A: $i ).
thf(tp_z,type,
z: $i ).
thf(1,conjecture,
( ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ( ( ! [X: $i] :
( ( a1 @ X )
=> ( ( b @ X )
| ( c @ X ) ) )
& ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) )
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p1 @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p1 @ Y ) ) )
=> ( ( ( p1 @ X3 )
& ( g @ X3 ) )
| ( ( p1 @ X4 )
& ( c @ X4 ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ? [X: $i] : ( p1 @ X )
=> ( ? [X: $i] : ( p1 @ X )
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) )
& ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ~ ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) )
& ( ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) )
& ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) )
& ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
& ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) ) )
& ( ? [X: $i] : ( p1 @ X )
<=> ? [Y: $i] : ( p1 @ Y ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Z @ Y )
& ( p @ Y @ Z ) )
=> ( p @ Y @ X ) ) )
& ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) )
& ! [B: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ( r1 @ B ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) )
& ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) )
& ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
& ( ( p1 @ z )
=> ( p1 @ z ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
& ! [A: $i] :
( ( ( f0
| g0 )
& ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) ) )
=> ( q1 @ A ) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( ( q1 @ X )
=> ( p @ X @ A ) )
& ( q1 @ A )
& ( q1 @ B )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( r1 @ A )
& ( r1 @ B )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( s1 @ A ) )
=> ( p @ A @ B ) )
& ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) )
& ( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
( ( ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ( ( ! [X: $i] :
( ( a1 @ X )
=> ( ( b @ X )
| ( c @ X ) ) )
& ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) )
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p1 @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p1 @ Y ) ) )
=> ( ( ( p1 @ X3 )
& ( g @ X3 ) )
| ( ( p1 @ X4 )
& ( c @ X4 ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ? [X: $i] : ( p1 @ X )
=> ( ? [X: $i] : ( p1 @ X )
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) )
& ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ~ ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) )
& ( ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) )
& ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) )
& ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
& ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) ) )
& ( ? [X: $i] : ( p1 @ X )
<=> ? [Y: $i] : ( p1 @ Y ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Z @ Y )
& ( p @ Y @ Z ) )
=> ( p @ Y @ X ) ) )
& ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) )
& ! [B: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ( r1 @ B ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) )
& ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) )
& ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
& ( ( p1 @ z )
=> ( p1 @ z ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
& ! [A: $i] :
( ( ( f0
| g0 )
& ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) ) )
=> ( q1 @ A ) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( ( q1 @ X )
=> ( p @ X @ A ) )
& ( q1 @ A )
& ( q1 @ B )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( r1 @ A )
& ( r1 @ B )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( s1 @ A ) )
=> ( p @ A @ B ) )
& ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) )
& ( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) )
& ( ( ! [X: $i] :
( ( a1 @ X )
=> ( ( b @ X )
| ( c @ X ) ) )
& ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) )
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p1 @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p1 @ Y ) ) )
=> ( ( ( p1 @ X3 )
& ( g @ X3 ) )
| ( ( p1 @ X4 )
& ( c @ X4 ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ? [X: $i] : ( p1 @ X )
=> ( ? [X: $i] : ( p1 @ X )
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) )
& ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ~ ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) )
& ( ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) )
& ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) )
& ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
& ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ A )
& ( p1 @ B ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) ) )
& ( ? [X: $i] : ( p1 @ X )
<=> ? [Y: $i] : ( p1 @ Y ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Z @ Y )
& ( p @ Y @ Z ) )
=> ( p @ Y @ X ) ) )
& ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) )
& ! [B: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ( r1 @ B ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) )
& ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) )
& ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
& ( ( p1 @ z )
=> ( p1 @ z ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
& ! [A: $i] :
( ( ( f0
| g0 )
& ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) ) )
=> ( q1 @ A ) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( ( q1 @ X )
=> ( p @ X @ A ) )
& ( q1 @ A )
& ( q1 @ B )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( r1 @ A )
& ( r1 @ B )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( s1 @ A ) )
=> ( p @ A @ B ) )
& ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) )
& ( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) )
& ( q1 @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(7,plain,
( ( ( ! [X: $i] :
( ( a1 @ X )
=> ( ( b @ X )
| ( c @ X ) ) )
& ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(8,plain,
( ( ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p1 @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p1 @ Y ) ) )
=> ( ( ( p1 @ X3 )
& ( g @ X3 ) )
| ( ( p1 @ X4 )
& ( c @ X4 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(9,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(10,plain,
( ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(11,plain,
( ( ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(12,plain,
( ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(13,plain,
( ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(14,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(15,plain,
( ( ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(16,plain,
( ( ? [X: $i] : ( p1 @ X )
=> ( ? [X: $i] : ( p1 @ X )
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(17,plain,
( ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(18,plain,
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(19,plain,
( ( ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(21,plain,
( ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(22,plain,
( ( ~ ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(23,plain,
( ( ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(24,plain,
( ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(25,plain,
( ( ? [X: $i,Y: $i] : ( a @ X @ Y )
=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(26,plain,
( ( ? [Y: $i,X: $i] : ( a @ X @ Y )
=> ? [X: $i,Y: $i] : ( a @ X @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ A )
& ( p1 @ B ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(28,plain,
( ( ! [X: $i] : ( p1 @ X )
=> ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(29,plain,
( ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(30,plain,
( ( ? [Y: $i] : ( p1 @ Y )
=> ? [X: $i] : ( p1 @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(31,plain,
( ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(32,plain,
( ( ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Z @ Y )
& ( p @ Y @ Z ) )
=> ( p @ Y @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(35,plain,
( ( ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(36,plain,
( ( ! [B: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ( r1 @ B ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(38,plain,
( ( ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(39,plain,
( ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(40,plain,
( ( ( p1 @ z )
=> ( p1 @ z ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(41,plain,
( ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(43,plain,
( ( ! [A: $i] :
( ( ( f0
| g0 )
& ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) ) )
=> ( q1 @ A ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(44,plain,
( ( ( a0
<=> b0 )
| a0
| b0 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(45,plain,
( ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( ( q1 @ X )
=> ( p @ X @ A ) )
& ( q1 @ A )
& ( q1 @ B )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( r1 @ A )
& ( r1 @ B )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( s1 @ A ) )
=> ( p @ A @ B ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(47,plain,
( ( ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(48,plain,
( ( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(49,plain,
( ( ~ ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) )
& ( q1 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(50,plain,
( ( ~ ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(51,plain,
( ( ~ ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( p1 @ X )
& ( ( r1 @ Y )
=> ( ( r1 @ B )
& ( r1 @ C ) ) ) ) )
& ( q1 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(52,plain,
( ( ~ ( ( ! [X: $i] :
( ( a1 @ X )
=> ( ( b @ X )
| ( c @ X ) ) )
& ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(53,plain,
( ( ~ ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p1 @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p1 @ Y ) ) )
=> ( ( ( p1 @ X3 )
& ( g @ X3 ) )
| ( ( p1 @ X4 )
& ( c @ X4 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(54,plain,
( ( ~ ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(55,plain,
( ( ~ ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(56,plain,
( ( ~ ( ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(57,plain,
( ( ~ ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(58,plain,
( ( ~ ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(59,plain,
( ( ~ ! [A: $i,B: $i,C: $i] :
( ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(60,plain,
( ( ~ ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(61,plain,
( ( ~ ( ? [X: $i] : ( p1 @ X )
=> ( ? [X: $i] : ( p1 @ X )
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(62,plain,
( ( ~ ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(63,plain,
( ( ~ ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(64,plain,
( ( ~ ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(65,plain,
( ( ~ ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(66,plain,
( ( ~ ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(67,plain,
( ( ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(68,plain,
( ( ~ ( ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(69,plain,
( ( ~ ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(70,plain,
( ( ~ ( ? [X: $i,Y: $i] : ( a @ X @ Y )
=> ? [Y: $i,X: $i] : ( a @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(71,plain,
( ( ~ ( ? [Y: $i,X: $i] : ( a @ X @ Y )
=> ? [X: $i,Y: $i] : ( a @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(72,plain,
( ( ~ ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ A )
& ( p1 @ B ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(73,plain,
( ( ~ ( ! [X: $i] : ( p1 @ X )
=> ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(74,plain,
( ( ~ ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(75,plain,
( ( ~ ( ? [Y: $i] : ( p1 @ Y )
=> ? [X: $i] : ( p1 @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(76,plain,
( ( ~ ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(77,plain,
( ( ~ ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Z @ Y )
& ( p @ Y @ Z ) )
=> ( p @ Y @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[32]) ).
thf(78,plain,
( ( ~ ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(79,plain,
( ( ~ ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(80,plain,
( ( ~ ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(81,plain,
( ( ~ ! [B: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ( r1 @ B ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(82,plain,
( ( ~ ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[37]) ).
thf(83,plain,
( ( ~ ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(84,plain,
( ( ~ ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(85,plain,
( ( ~ ( ( p1 @ z )
=> ( p1 @ z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(86,plain,
( ( ~ ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(87,plain,
( ( ~ ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(88,plain,
( ( ~ ! [A: $i] :
( ( ( f0
| g0 )
& ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) ) )
=> ( q1 @ A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(89,plain,
( ( ~ ( ( a0
<=> b0 )
| a0
| b0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(90,plain,
( ( ~ ( ( a0
& b0 )
=> ( a0
<=> b0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(91,plain,
( ( ~ ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( ( q1 @ X )
=> ( p @ X @ A ) )
& ( q1 @ A )
& ( q1 @ B )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( r1 @ A )
& ( r1 @ B )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( s1 @ A ) )
=> ( p @ A @ B ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[46]) ).
thf(92,plain,
( ( ~ ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(93,plain,
( ( ~ ( ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
& ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[48]) ).
thf(94,plain,
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
& ( ! [Y: $i] :
( ( p1 @ ( f @ Y ) )
| ( r1 @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] : ( r1 @ Y )
| ~ ( q1 @ X ) )
& ! [SY155: $i] :
( ~ ( p1 @ SY155 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SY155 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(95,plain,
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ! [Y: $i] : ( r1 @ Y )
| ~ ( p1 @ X )
| ~ ( q1 @ X ) )
& ! [SY166: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SY166 )
| ~ ( q1 @ SY166 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(96,plain,
( ( ( q1 @ ( f @ sK5_B ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ! [Y: $i] : ( r1 @ Y )
| ~ ( p1 @ X )
| ~ ( q1 @ X ) )
& ! [SY177: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SY177 )
| ~ ( q1 @ SY177 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(97,plain,
( ( ! [X: $i] :
( ~ ( a1 @ X )
| ( b @ X )
| ( c @ X ) )
& ( a1 @ sK7_X )
& ~ ( b @ sK7_X )
& ! [X: $i] :
( ~ ( a1 @ X )
| ~ ( c @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(98,plain,
( ( ! [SY178: $i,SY179: $i,SY180: $i] :
( ( e @ sK8_A )
& ( p1 @ sK8_A )
& ( ~ ( e @ SY178 )
| ( g @ SY178 )
| ( s @ SY178 @ ( f @ SY178 ) ) )
& ( ~ ( e @ SY179 )
| ( c @ ( f @ SY179 ) )
| ( g @ SY179 ) )
& ! [SY181: $i] :
( ~ ( s @ sK8_A @ SY181 )
| ( p1 @ SY181 ) )
& ( ~ ( g @ SY180 )
| ~ ( p1 @ SY180 ) )
& ! [X4: $i] :
( ~ ( c @ X4 )
| ~ ( p1 @ X4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( q @ X @ Y ) )
& ! [X: $i] :
( ~ ( s1 @ X )
| ( p1 @ X ) )
& ( s1 @ sK9_A )
& ( s1 @ sK10_SY186 )
& ( r @ sK10_SY186 @ sK11_SY190 )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
~ ( q @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(100,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(101,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( q1 @ sK15_Y )
& ~ ( p1 @ sK14_Y )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(102,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( q1 @ sK17_Y )
& ~ ( p1 @ sK16_Y )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(103,plain,
( ( ! [X: $i] :
( ( a @ X @ ( sK18_Y @ X ) )
& ( a @ ( sK18_Y @ X ) @ ( sK18_Y @ X ) ) )
& ! [Z: $i] :
~ ( a @ Z @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(104,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( q @ X @ Y ) )
& ! [X: $i] :
( ~ ( s1 @ X )
| ( p1 @ X ) )
& ( s1 @ sK19_A )
& ( s1 @ sK20_SY194 )
& ( r @ sK20_SY194 @ sK21_SY198 )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
~ ( q @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(105,plain,
( ( ! [Y: $i] :
( ~ ( q1 @ Y )
| ( p1 @ Y ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK23_SY199 ) )
& ( ~ ( p1 @ sK22_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(106,plain,
( ( ( p1 @ sK24_X )
& ( a0
| ! [X: $i] :
~ ( p1 @ X ) )
& ( ~ $true
| ~ $true
| ! [X: $i] :
~ ( p1 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(107,plain,
( ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(108,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ! [X: $i] : ( p1 @ X )
& ~ ( q1 @ sK25_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(109,plain,
( ( ! [Z: $i] :
( ~ ( q1 @ Z )
| ( p1 @ Z ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK27_SY206 ) )
& ( ~ ( p1 @ sK26_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(110,plain,
( ( ! [X: $i] :
( ~ ( a1 @ X )
| ( b @ X ) )
& ( a1 @ sK28_X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(111,plain,
( ( ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) )
& ! [X: $i] : ( a1 @ X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(112,plain,
( ( ! [SY213: $i] :
( ~ ( a @ SY213 @ sK31_Y )
| ~ ( a @ SY213 @ SY213 ) )
& ! [SY214: $i] :
( ( a @ SY214 @ SY214 )
| ( a @ SY214 @ sK31_Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(113,plain,
( ( ! [X: $i] : ( b @ X )
& ( a1 @ sK32_X )
& ! [X: $i] :
( ~ ( a1 @ X )
| ~ ( b @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(114,plain,
( ( ( b @ sK33_X )
& ! [X: $i] :
~ ( a1 @ X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(115,plain,
( ( ( a @ sK34_X @ sK35_SY215 )
& ! [Y: $i,X: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(116,plain,
( ( ( a @ sK37_SY216 @ sK36_Y )
& ! [X: $i,Y: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(117,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(118,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(119,plain,
( ( ( p1 @ sK42_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(120,plain,
( ( ( p1 @ sK43_Y )
& ! [X: $i] :
~ ( p1 @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(121,plain,
( ( ( p1 @ sK44_X )
& ! [Z: $i] :
~ ( p1 @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(122,plain,
( ( ! [Z: $i] :
( ! [SY217: $i] :
( ( p @ SY217 @ ( sK45_X @ Z ) )
| ( p @ Z @ SY217 ) )
& ! [SY218: $i] :
( ( p @ SY218 @ ( sK45_X @ Z ) )
| ( p @ SY218 @ Z ) )
& ! [SY219: $i] :
( ( p @ SY219 @ ( sK45_X @ Z ) )
| ~ ( p @ SY219 @ ( sK45_X @ Z ) ) )
& ! [Y: $i] :
( ! [W: $i] :
~ ( p @ W @ Y )
| ( p @ Z @ Y ) )
& ! [Y: $i] :
( ! [W: $i] :
~ ( p @ W @ Y )
| ( p @ Y @ Z ) )
& ! [SY224: $i] :
( ! [W: $i] :
~ ( p @ W @ SY224 )
| ~ ( p @ SY224 @ ( sK45_X @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(123,plain,
( ( ! [X: $i,Y: $i] :
( ( ( ~ ( a_member_of @ ( sK48_Z @ Y @ X ) @ X )
| ~ ( a_member_of @ ( sK48_Z @ Y @ X ) @ Y ) )
& ( ( a_member_of @ ( sK48_Z @ Y @ X ) @ X )
| ( a_member_of @ ( sK48_Z @ Y @ X ) @ Y ) ) )
| ( eq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( eq @ X @ Y )
| ( ! [Z: $i] :
( ~ ( a_member_of @ Z @ X )
| ( a_member_of @ Z @ Y ) )
& ! [Z: $i] :
( ~ ( a_member_of @ Z @ Y )
| ( a_member_of @ Z @ X ) ) ) )
& ( eq @ sK46_A @ sK47_SY226 )
& ~ ( eq @ sK47_SY226 @ sK46_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(124,plain,
( ( ! [Y: $i] :
( ~ ( q1 @ Y )
| ( p1 @ Y ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK50_SY227 ) )
& ( ~ ( p1 @ sK49_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(125,plain,
( ( ! [X: $i] : ( p1 @ X )
& ~ ( p1 @ sK51_Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(126,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ( r1 @ sK52_B )
& ! [Y: $i] :
( ~ ( r1 @ Y )
| ( p1 @ Y ) )
& ~ ( q1 @ sK52_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(127,plain,
( ( ( ! [X: $i] :
~ ( p1 @ X )
| ! [Y: $i] : ( r1 @ Y ) )
& ( p1 @ sK53_A )
& ~ ( r1 @ sK54_SY236 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(128,plain,
( ( ( p1 @ sK55_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(129,plain,
( ( ! [SY242: $i] : ( p @ sK57_X @ SY242 )
& ! [SY241: $i] :
~ ( p @ SY241 @ sK56_Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(130,plain,
( ( ~ $true )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(131,plain,
( ( ( p1 @ sK58_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i] : ( p @ X @ Y )
& ~ ( p @ sK59_X @ sK59_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(133,plain,
( ( ! [X: $i] : ( p1 @ X )
& ! [X: $i] : ( q1 @ X )
& ( f0
| g0 )
& ~ ( q1 @ sK60_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(134,plain,
( ( ~ b0
& ( ~ a0
| ~ b0 )
& ( a0
| b0 )
& ~ a0 )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(135,plain,
( ( a0
& b0
& ( ~ a0
| ~ b0 )
& ( a0
| b0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(136,plain,
( ( ! [SY244: $i] :
( ~ ( q1 @ SY244 )
| ( p @ SY244 @ sK61_A ) )
& ( q1 @ sK61_A )
& ( q1 @ sK62_SY243 )
& ! [SY249: $i] :
( ~ ( r1 @ SY249 )
| ( p @ sK62_SY243 @ SY249 ) )
& ( r1 @ sK61_A )
& ( r1 @ sK62_SY243 )
& ( ~ ( s1 @ sK61_A )
| ! [X: $i,Y: $i] : ( p @ X @ Y ) )
& ( s1 @ sK61_A )
& ~ ( p @ sK61_A @ sK62_SY243 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(137,plain,
( ( ( ( r1 @ sK63_B )
| ! [Y: $i] : ( p @ ( f @ Y ) @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ Y )
| ( p @ ( f @ Y ) @ Y ) )
& ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [X: $i,Y: $i] :
~ ( p @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( q @ X @ Y )
| ~ ( p @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(138,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) )
& ! [Z: $i] : ( p1 @ Z )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(139,plain,
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
& ( ! [Y: $i] :
( ( p1 @ ( f @ Y ) )
| ( r1 @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] : ( r1 @ Y )
| ~ ( q1 @ X ) )
& ! [SY155: $i] :
( ~ ( p1 @ SY155 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SY155 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(140,plain,
( ( ~ ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(141,plain,
( ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(142,plain,
( ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(144,plain,
( ( ! [SX0: $i] : ( q1 @ ( f @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(145,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(146,plain,
! [SV1: $i] :
( ( q1 @ ( f @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(147,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(148,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(149,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(150,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(151,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(152,plain,
( ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(153,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(154,plain,
( ( ~ ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(155,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(156,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(157,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(158,plain,
( ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(159,plain,
( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(160,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(161,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(162,plain,
( ( ( ! [SX0: $i] :
( ( p1 @ ( f @ SX0 ) )
| ( r1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(163,plain,
( ( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(164,plain,
! [SV2: $i] :
( ( ~ ( p1 @ SV2 )
| ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( q1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(165,plain,
! [SV3: $i] :
( ( ~ ( p1 @ SV3 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C )
| ~ ( q1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(166,plain,
! [SV4: $i] :
( ( ( ( p1 @ ( f @ SV4 ) )
| ( r1 @ SV4 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(167,plain,
( ( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) ) )
= $true )
| ( ( ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(168,plain,
! [SV2: $i] :
( ( ( ~ ( p1 @ SV2 )
| ! [SX1: $i] : ( r1 @ SX1 ) )
= $true )
| ( ( ~ ( q1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(169,plain,
! [SV3: $i] :
( ( ( ~ ( p1 @ SV3 )
| ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(170,plain,
! [SV4: $i] :
( ( ( p1 @ ( f @ SV4 ) )
= $true )
| ( ( r1 @ SV4 )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(171,plain,
! [SV5: $i] :
( ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(172,plain,
! [SV2: $i] :
( ( ( ~ ( p1 @ SV2 ) )
= $true )
| ( ( ! [SX1: $i] : ( r1 @ SX1 ) )
= $true )
| ( ( ~ ( q1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(173,plain,
! [SV3: $i] :
( ( ( ~ ( p1 @ SV3 ) )
= $true )
| ( ( ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ( q1 @ SV6 ) )
= $true )
| ( ( r1 @ SV4 )
= $true )
| ( ( p1 @ ( f @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK2_SY141 ) )
= $true )
| ( ( ~ ( r1 @ sK1_C ) )
= $true )
| ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(176,plain,
! [SV2: $i] :
( ( ( p1 @ SV2 )
= $false )
| ( ( ! [SX1: $i] : ( r1 @ SX1 ) )
= $true )
| ( ( ~ ( q1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(177,plain,
! [SV3: $i] :
( ( ( p1 @ SV3 )
= $false )
| ( ( ~ ( r1 @ sK2_SY141 )
| ~ ( r1 @ sK1_C ) )
= $true )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(178,plain,
! [SV4: $i,SV6: $i] :
( ( ( q1 @ SV6 )
= $false )
| ( ( r1 @ SV4 )
= $true )
| ( ( p1 @ ( f @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(179,plain,
! [SV5: $i] :
( ( ( r1 @ sK2_SY141 )
= $false )
| ( ( ~ ( r1 @ sK1_C ) )
= $true )
| ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(180,plain,
! [SV2: $i,SV7: $i] :
( ( ( r1 @ SV7 )
= $true )
| ( ( p1 @ SV2 )
= $false )
| ( ( ~ ( q1 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK2_SY141 ) )
= $true )
| ( ( ~ ( r1 @ sK1_C ) )
= $true )
| ( ( p1 @ SV3 )
= $false )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_C )
= $false )
| ( ( r1 @ sK2_SY141 )
= $false )
| ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV7: $i,SV2: $i] :
( ( ( q1 @ SV2 )
= $false )
| ( ( p1 @ SV2 )
= $false )
| ( ( r1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(184,plain,
! [SV3: $i] :
( ( ( r1 @ sK2_SY141 )
= $false )
| ( ( ~ ( r1 @ sK1_C ) )
= $true )
| ( ( p1 @ SV3 )
= $false )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(185,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( q1 @ SV8 ) )
= $true )
| ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( r1 @ sK2_SY141 )
= $false )
| ( ( r1 @ sK1_C )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(186,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_C )
= $false )
| ( ( r1 @ sK2_SY141 )
= $false )
| ( ( p1 @ SV3 )
= $false )
| ( ( ~ ( q1 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(187,plain,
! [SV5: $i,SV8: $i] :
( ( ( q1 @ SV8 )
= $false )
| ( ( p1 @ ( f @ SV5 ) )
= $true )
| ( ( r1 @ sK2_SY141 )
= $false )
| ( ( r1 @ sK1_C )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV3: $i] :
( ( ( q1 @ SV3 )
= $false )
| ( ( p1 @ SV3 )
= $false )
| ( ( r1 @ sK2_SY141 )
= $false )
| ( ( r1 @ sK1_C )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(189,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[146,188,187,183,178]) ).
thf(190,plain,
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ! [Y: $i] : ( r1 @ Y )
| ~ ( p1 @ X )
| ~ ( q1 @ X ) )
& ! [SY166: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SY166 )
| ~ ( q1 @ SY166 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(191,plain,
( ( ~ ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(192,plain,
( ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(193,plain,
( ( ~ ! [SX0: $i] : ( q1 @ ( f @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(194,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(195,plain,
( ( ! [SX0: $i] : ( q1 @ ( f @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(196,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(197,plain,
! [SV9: $i] :
( ( q1 @ ( f @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(198,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(199,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(200,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(201,plain,
( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(202,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(203,plain,
( ( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(204,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(205,plain,
! [SV10: $i] :
( ( ( p1 @ ( f @ SV10 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(206,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(207,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(208,plain,
! [SV10: $i,SV11: $i] :
( ( ( ~ ( q1 @ SV11 ) )
= $true )
| ( ( p1 @ ( f @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(209,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(210,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(211,plain,
! [SV10: $i,SV11: $i] :
( ( ( q1 @ SV11 )
= $false )
| ( ( p1 @ ( f @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(212,plain,
! [SV12: $i] :
( ( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SV12 )
| ~ ( q1 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(213,plain,
! [SV13: $i] :
( ( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SV13 )
| ~ ( q1 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(214,plain,
! [SV12: $i] :
( ( ( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SV12 ) )
= $true )
| ( ( ~ ( q1 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(215,plain,
! [SV13: $i] :
( ( ( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 )
| ~ ( p1 @ SV13 ) )
= $true )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(216,plain,
! [SV12: $i] :
( ( ( ! [SX1: $i] : ( r1 @ SX1 ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( ~ ( q1 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(217,plain,
! [SV13: $i] :
( ( ( ~ ( r1 @ sK3_B )
| ~ ( r1 @ sK4_SY156 ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(218,plain,
! [SV12: $i,SV14: $i] :
( ( ( r1 @ SV14 )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( ~ ( q1 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(219,plain,
! [SV13: $i] :
( ( ( ~ ( r1 @ sK3_B ) )
= $true )
| ( ( ~ ( r1 @ sK4_SY156 ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(220,plain,
! [SV14: $i,SV12: $i] :
( ( ( p1 @ SV12 )
= $false )
| ( ( r1 @ SV14 )
= $true )
| ( ( ~ ( q1 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(221,plain,
! [SV13: $i] :
( ( ( r1 @ sK3_B )
= $false )
| ( ( ~ ( r1 @ sK4_SY156 ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(222,plain,
! [SV14: $i,SV12: $i] :
( ( ( q1 @ SV12 )
= $false )
| ( ( r1 @ SV14 )
= $true )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(223,plain,
! [SV13: $i] :
( ( ( r1 @ sK4_SY156 )
= $false )
| ( ( r1 @ sK3_B )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(224,plain,
! [SV13: $i] :
( ( ( p1 @ SV13 )
= $false )
| ( ( r1 @ sK3_B )
= $false )
| ( ( r1 @ sK4_SY156 )
= $false )
| ( ( ~ ( q1 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(225,plain,
! [SV13: $i] :
( ( ( q1 @ SV13 )
= $false )
| ( ( r1 @ sK4_SY156 )
= $false )
| ( ( r1 @ sK3_B )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(226,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[197,225,222,211]) ).
thf(227,plain,
( ( ( q1 @ ( f @ sK5_B ) )
& ( ! [Y: $i] : ( p1 @ ( f @ Y ) )
| ! [X: $i] :
~ ( q1 @ X ) )
& ! [X: $i] :
( ! [Y: $i] : ( r1 @ Y )
| ~ ( p1 @ X )
| ~ ( q1 @ X ) )
& ! [SY177: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SY177 )
| ~ ( q1 @ SY177 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(228,plain,
( ( ~ ( ~ ( q1 @ ( f @ sK5_B ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(229,plain,
( ( ~ ( q1 @ ( f @ sK5_B ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(230,plain,
( ( ~ ( q1 @ ( f @ sK5_B ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(231,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(232,plain,
( ( q1 @ ( f @ sK5_B ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(233,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(234,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(235,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(236,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(237,plain,
( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) )
| ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(238,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(239,plain,
( ( ( ! [SX0: $i] : ( p1 @ ( f @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(240,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(241,plain,
! [SV15: $i] :
( ( ( p1 @ ( f @ SV15 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(242,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(244,plain,
! [SV15: $i,SV16: $i] :
( ( ( ~ ( q1 @ SV16 ) )
= $true )
| ( ( p1 @ ( f @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(245,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(246,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SX0 )
| ~ ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(247,plain,
! [SV15: $i,SV16: $i] :
( ( ( q1 @ SV16 )
= $false )
| ( ( p1 @ ( f @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(248,plain,
! [SV17: $i] :
( ( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SV17 )
| ~ ( q1 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(249,plain,
! [SV18: $i] :
( ( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SV18 )
| ~ ( q1 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(250,plain,
! [SV17: $i] :
( ( ( ! [SX1: $i] : ( r1 @ SX1 )
| ~ ( p1 @ SV17 ) )
= $true )
| ( ( ~ ( q1 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(251,plain,
! [SV18: $i] :
( ( ( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 )
| ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(252,plain,
! [SV17: $i] :
( ( ( ! [SX1: $i] : ( r1 @ SX1 ) )
= $true )
| ( ( ~ ( p1 @ SV17 ) )
= $true )
| ( ( ~ ( q1 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(253,plain,
! [SV18: $i] :
( ( ( ~ ( r1 @ sK5_B )
| ~ ( r1 @ sK6_SY167 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(254,plain,
! [SV17: $i,SV19: $i] :
( ( ( r1 @ SV19 )
= $true )
| ( ( ~ ( p1 @ SV17 ) )
= $true )
| ( ( ~ ( q1 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(255,plain,
! [SV18: $i] :
( ( ( ~ ( r1 @ sK5_B ) )
= $true )
| ( ( ~ ( r1 @ sK6_SY167 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(256,plain,
! [SV19: $i,SV17: $i] :
( ( ( p1 @ SV17 )
= $false )
| ( ( r1 @ SV19 )
= $true )
| ( ( ~ ( q1 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(257,plain,
! [SV18: $i] :
( ( ( r1 @ sK5_B )
= $false )
| ( ( ~ ( r1 @ sK6_SY167 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(258,plain,
! [SV19: $i,SV17: $i] :
( ( ( q1 @ SV17 )
= $false )
| ( ( r1 @ SV19 )
= $true )
| ( ( p1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(259,plain,
! [SV18: $i] :
( ( ( r1 @ sK6_SY167 )
= $false )
| ( ( r1 @ sK5_B )
= $false )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(260,plain,
! [SV18: $i] :
( ( ( p1 @ SV18 )
= $false )
| ( ( r1 @ sK5_B )
= $false )
| ( ( r1 @ sK6_SY167 )
= $false )
| ( ( ~ ( q1 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(261,plain,
! [SV18: $i] :
( ( ( q1 @ SV18 )
= $false )
| ( ( r1 @ sK6_SY167 )
= $false )
| ( ( r1 @ sK5_B )
= $false )
| ( ( p1 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(262,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[232,261,258,247]) ).
thf(263,plain,
( ( ! [X: $i] :
( ~ ( a1 @ X )
| ( b @ X )
| ( c @ X ) )
& ( a1 @ sK7_X )
& ~ ( b @ sK7_X )
& ! [X: $i] :
( ~ ( a1 @ X )
| ~ ( c @ X ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(264,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) )
| ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( c @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(265,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) )
| ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( c @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(266,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(267,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( c @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(268,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(269,plain,
( ( ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( c @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(270,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(271,plain,
! [SV20: $i] :
( ( ~ ( a1 @ SV20 )
| ~ ( c @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(272,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(273,plain,
( ( ~ ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(274,plain,
! [SV20: $i] :
( ( ( ~ ( a1 @ SV20 ) )
= $true )
| ( ( ~ ( c @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(275,plain,
( ( ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 )
| ( c @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(276,plain,
( ( ~ ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(277,plain,
! [SV20: $i] :
( ( ( a1 @ SV20 )
= $false )
| ( ( ~ ( c @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(278,plain,
! [SV21: $i] :
( ( ~ ( a1 @ SV21 )
| ( b @ SV21 )
| ( c @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(279,plain,
( ( ~ ( a1 @ sK7_X )
| ~ ~ ( b @ sK7_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(280,plain,
! [SV20: $i] :
( ( ( c @ SV20 )
= $false )
| ( ( a1 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(281,plain,
! [SV21: $i] :
( ( ( ~ ( a1 @ SV21 ) )
= $true )
| ( ( ( b @ SV21 )
| ( c @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(282,plain,
( ( ~ ( a1 @ sK7_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(283,plain,
( ( ~ ~ ( b @ sK7_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(284,plain,
! [SV21: $i] :
( ( ( a1 @ SV21 )
= $false )
| ( ( ( b @ SV21 )
| ( c @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(285,plain,
( ( a1 @ sK7_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(286,plain,
( ( ~ ( b @ sK7_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(287,plain,
! [SV21: $i] :
( ( ( b @ SV21 )
= $true )
| ( ( c @ SV21 )
= $true )
| ( ( a1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(288,plain,
( ( b @ sK7_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(289,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[280,288,287,285]) ).
thf(290,plain,
( ( ! [SY178: $i,SY179: $i,SY180: $i] :
( ( e @ sK8_A )
& ( p1 @ sK8_A )
& ( ~ ( e @ SY178 )
| ( g @ SY178 )
| ( s @ SY178 @ ( f @ SY178 ) ) )
& ( ~ ( e @ SY179 )
| ( c @ ( f @ SY179 ) )
| ( g @ SY179 ) )
& ! [SY181: $i] :
( ~ ( s @ sK8_A @ SY181 )
| ( p1 @ SY181 ) )
& ( ~ ( g @ SY180 )
| ~ ( p1 @ SY180 ) )
& ! [X4: $i] :
( ~ ( c @ X4 )
| ~ ( p1 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(291,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SX0 )
| ( g @ SX0 )
| ( s @ SX0 @ ( f @ SX0 ) ) ) )
| ~ ( ~ ( e @ SX1 )
| ( c @ ( f @ SX1 ) )
| ( g @ SX1 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SX2 )
| ~ ( p1 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(292,plain,
! [SV22: $i] :
( ( ! [SY261: $i,SY262: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SY261 )
| ( c @ ( f @ SY261 ) )
| ( g @ SY261 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SY262 )
| ~ ( p1 @ SY262 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(293,plain,
! [SV23: $i,SV22: $i] :
( ( ! [SY265: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SY265 )
| ~ ( p1 @ SY265 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(294,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(295,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(296,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(297,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(298,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(299,plain,
! [SV24: $i] :
( ( ~ ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(300,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(301,plain,
! [SV24: $i] :
( ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(302,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(303,plain,
( ( ~ ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(304,plain,
! [SV24: $i] :
( ( ~ ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(305,plain,
( ( ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(306,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(307,plain,
( ( ! [SX3: $i] :
( ~ ( s @ sK8_A @ SX3 )
| ( p1 @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(308,plain,
! [SV24: $i] :
( ( ~ ( g @ SV24 )
| ~ ( p1 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(309,plain,
( ( ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p1 @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(310,plain,
! [SV23: $i,SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
| ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(311,plain,
! [SV25: $i] :
( ( ~ ( s @ sK8_A @ SV25 )
| ( p1 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(312,plain,
! [SV24: $i] :
( ( ( ~ ( g @ SV24 ) )
= $true )
| ( ( ~ ( p1 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(313,plain,
! [SV26: $i] :
( ( ~ ( c @ SV26 )
| ~ ( p1 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(314,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(315,plain,
! [SV23: $i] :
( ( ~ ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(316,plain,
! [SV25: $i] :
( ( ( ~ ( s @ sK8_A @ SV25 ) )
= $true )
| ( ( p1 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(317,plain,
! [SV24: $i] :
( ( ( g @ SV24 )
= $false )
| ( ( ~ ( p1 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(318,plain,
! [SV26: $i] :
( ( ( ~ ( c @ SV26 ) )
= $true )
| ( ( ~ ( p1 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(319,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(320,plain,
! [SV23: $i] :
( ( ~ ( e @ SV23 )
| ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(321,plain,
! [SV25: $i] :
( ( ( s @ sK8_A @ SV25 )
= $false )
| ( ( p1 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(322,plain,
! [SV24: $i] :
( ( ( p1 @ SV24 )
= $false )
| ( ( g @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(323,plain,
! [SV26: $i] :
( ( ( c @ SV26 )
= $false )
| ( ( ~ ( p1 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(324,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
| ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(325,plain,
! [SV23: $i] :
( ( ( ~ ( e @ SV23 ) )
= $true )
| ( ( ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(326,plain,
! [SV26: $i] :
( ( ( p1 @ SV26 )
= $false )
| ( ( c @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(327,plain,
( ( ~ ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(328,plain,
! [SV22: $i] :
( ( ~ ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(329,plain,
! [SV23: $i] :
( ( ( e @ SV23 )
= $false )
| ( ( ( c @ ( f @ SV23 ) )
| ( g @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(330,plain,
( ( ~ ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(331,plain,
! [SV22: $i] :
( ( ~ ( e @ SV22 )
| ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(332,plain,
! [SV23: $i] :
( ( ( c @ ( f @ SV23 ) )
= $true )
| ( ( g @ SV23 )
= $true )
| ( ( e @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(333,plain,
( ( ~ ( e @ sK8_A )
| ~ ( p1 @ sK8_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(334,plain,
! [SV22: $i] :
( ( ( ~ ( e @ SV22 ) )
= $true )
| ( ( ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(335,plain,
( ( ~ ( e @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(336,plain,
( ( ~ ( p1 @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(337,plain,
! [SV22: $i] :
( ( ( e @ SV22 )
= $false )
| ( ( ( g @ SV22 )
| ( s @ SV22 @ ( f @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(338,plain,
( ( e @ sK8_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(339,plain,
( ( p1 @ sK8_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(340,plain,
! [SV22: $i] :
( ( ( g @ SV22 )
= $true )
| ( ( s @ SV22 @ ( f @ SV22 ) )
= $true )
| ( ( e @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(341,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[321,340,339,338,332,326,322]) ).
thf(342,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( q @ X @ Y ) )
& ! [X: $i] :
( ~ ( s1 @ X )
| ( p1 @ X ) )
& ( s1 @ sK9_A )
& ( s1 @ sK10_SY186 )
& ( r @ sK10_SY186 @ sK11_SY190 )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
~ ( q @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(343,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(344,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(345,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(346,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(347,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(348,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(349,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(350,plain,
! [SV27: $i] :
( ( ~ ( p1 @ SV27 )
| ! [SY270: $i] :
~ ( q @ SV27 @ SY270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(351,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(352,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(353,plain,
! [SV27: $i] :
( ( ( ~ ( p1 @ SV27 ) )
= $true )
| ( ( ! [SY270: $i] :
~ ( q @ SV27 @ SY270 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(354,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(355,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(356,plain,
! [SV27: $i] :
( ( ( p1 @ SV27 )
= $false )
| ( ( ! [SY270: $i] :
~ ( q @ SV27 @ SY270 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(357,plain,
! [SV28: $i] :
( ( ! [SY271: $i] :
( ~ ( r @ SV28 @ SY271 )
| ( q @ SV28 @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(358,plain,
( ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(359,plain,
! [SV29: $i,SV27: $i] :
( ( ( ~ ( q @ SV27 @ SV29 ) )
= $true )
| ( ( p1 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(360,plain,
! [SV30: $i,SV28: $i] :
( ( ~ ( r @ SV28 @ SV30 )
| ( q @ SV28 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(361,plain,
( ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(362,plain,
( ( ~ ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(363,plain,
! [SV29: $i,SV27: $i] :
( ( ( q @ SV27 @ SV29 )
= $false )
| ( ( p1 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(364,plain,
! [SV30: $i,SV28: $i] :
( ( ( ~ ( r @ SV28 @ SV30 ) )
= $true )
| ( ( q @ SV28 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(365,plain,
( ( ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(366,plain,
( ( ~ ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(367,plain,
! [SV30: $i,SV28: $i] :
( ( ( r @ SV28 @ SV30 )
= $false )
| ( ( q @ SV28 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(368,plain,
! [SV31: $i] :
( ( ~ ( s1 @ SV31 )
| ( p1 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(369,plain,
( ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
| ~ ( r @ sK10_SY186 @ sK11_SY190 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(370,plain,
! [SV31: $i] :
( ( ( ~ ( s1 @ SV31 ) )
= $true )
| ( ( p1 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(371,plain,
( ( ~ ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(372,plain,
( ( ~ ( r @ sK10_SY186 @ sK11_SY190 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(373,plain,
! [SV31: $i] :
( ( ( s1 @ SV31 )
= $false )
| ( ( p1 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(374,plain,
( ( ~ ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(375,plain,
( ( r @ sK10_SY186 @ sK11_SY190 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(376,plain,
( ( ~ ( s1 @ sK9_A )
| ~ ( s1 @ sK10_SY186 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(377,plain,
( ( ~ ( s1 @ sK9_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(378,plain,
( ( ~ ( s1 @ sK10_SY186 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(379,plain,
( ( s1 @ sK9_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(380,plain,
( ( s1 @ sK10_SY186 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(381,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[363,380,379,375,373,367]) ).
thf(382,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(383,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(384,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(385,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(386,plain,
( ( ~ ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(387,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(388,plain,
( ( ~ ( p1 @ sK13_A )
| ~ ( p1 @ sK12_B ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(389,plain,
! [SV32: $i] :
( ( p1 @ SV32 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(390,plain,
( ( ( ~ ( p1 @ sK13_A ) )
= $true )
| ( ( ~ ( p1 @ sK12_B ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(391,plain,
( ( ( p1 @ sK13_A )
= $false )
| ( ( ~ ( p1 @ sK12_B ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(392,plain,
( ( ( p1 @ sK12_B )
= $false )
| ( ( p1 @ sK13_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(393,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[389,392]) ).
thf(394,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( q1 @ sK15_Y )
& ~ ( p1 @ sK14_Y )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(395,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK15_Y ) )
| ~ ~ ( ~ ~ ( p1 @ sK14_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(396,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK15_Y ) )
| ~ ~ ( ~ ~ ( p1 @ sK14_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(397,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK15_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(398,plain,
( ( ~ ~ ( ~ ~ ( p1 @ sK14_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(399,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK15_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(400,plain,
( ( ~ ( ~ ~ ( p1 @ sK14_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(401,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK15_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(402,plain,
( ( ~ ~ ( p1 @ sK14_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(403,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(404,plain,
( ( ~ ( q1 @ sK15_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(405,plain,
( ( ~ ~ ( p1 @ sK14_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(406,plain,
( ( ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(407,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(408,plain,
( ( q1 @ sK15_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(409,plain,
( ( ~ ( p1 @ sK14_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(410,plain,
( ( ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(411,plain,
! [SV33: $i] :
( ( p1 @ SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(412,plain,
( ( p1 @ sK14_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(413,plain,
! [SV34: $i] :
( ( ~ ( r1 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(414,plain,
! [SV34: $i] :
( ( r1 @ SV34 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(415,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[408,414,412,411]) ).
thf(416,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( q1 @ sK17_Y )
& ~ ( p1 @ sK16_Y )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(417,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK17_Y ) )
| ~ ~ ( ~ ~ ( p1 @ sK16_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(418,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK17_Y ) )
| ~ ~ ( ~ ~ ( p1 @ sK16_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(419,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK17_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(420,plain,
( ( ~ ~ ( ~ ~ ( p1 @ sK16_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(421,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK17_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(422,plain,
( ( ~ ( ~ ~ ( p1 @ sK16_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( q1 @ sK17_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(424,plain,
( ( ~ ~ ( p1 @ sK16_Y )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(425,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(426,plain,
( ( ~ ( q1 @ sK17_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(427,plain,
( ( ~ ~ ( p1 @ sK16_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(428,plain,
( ( ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(429,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(430,plain,
( ( q1 @ sK17_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(431,plain,
( ( ~ ( p1 @ sK16_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(432,plain,
( ( ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(433,plain,
! [SV35: $i] :
( ( p1 @ SV35 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(434,plain,
( ( p1 @ sK16_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(435,plain,
! [SV36: $i] :
( ( ~ ( r1 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(436,plain,
! [SV36: $i] :
( ( r1 @ SV36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(437,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[430,436,434,433]) ).
thf(438,plain,
( ( ! [X: $i] :
( ( a @ X @ ( sK18_Y @ X ) )
& ( a @ ( sK18_Y @ X ) @ ( sK18_Y @ X ) ) )
& ! [Z: $i] :
~ ( a @ Z @ Z ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(439,plain,
( ( ~ ( ~ ! [SX0: $i] :
~ ( ~ ( a @ SX0 @ ( sK18_Y @ SX0 ) )
| ~ ( a @ ( sK18_Y @ SX0 ) @ ( sK18_Y @ SX0 ) ) )
| ~ ! [SX0: $i] :
~ ( a @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(440,plain,
( ( ~ ! [SX0: $i] :
~ ( ~ ( a @ SX0 @ ( sK18_Y @ SX0 ) )
| ~ ( a @ ( sK18_Y @ SX0 ) @ ( sK18_Y @ SX0 ) ) )
| ~ ! [SX0: $i] :
~ ( a @ SX0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(441,plain,
( ( ~ ! [SX0: $i] :
~ ( ~ ( a @ SX0 @ ( sK18_Y @ SX0 ) )
| ~ ( a @ ( sK18_Y @ SX0 ) @ ( sK18_Y @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(442,plain,
( ( ~ ! [SX0: $i] :
~ ( a @ SX0 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(443,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a @ SX0 @ ( sK18_Y @ SX0 ) )
| ~ ( a @ ( sK18_Y @ SX0 ) @ ( sK18_Y @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(444,plain,
( ( ! [SX0: $i] :
~ ( a @ SX0 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(445,plain,
! [SV37: $i] :
( ( ~ ( ~ ( a @ SV37 @ ( sK18_Y @ SV37 ) )
| ~ ( a @ ( sK18_Y @ SV37 ) @ ( sK18_Y @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(446,plain,
! [SV38: $i] :
( ( ~ ( a @ SV38 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(447,plain,
! [SV37: $i] :
( ( ~ ( a @ SV37 @ ( sK18_Y @ SV37 ) )
| ~ ( a @ ( sK18_Y @ SV37 ) @ ( sK18_Y @ SV37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(448,plain,
! [SV38: $i] :
( ( a @ SV38 @ SV38 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(449,plain,
! [SV37: $i] :
( ( ~ ( a @ SV37 @ ( sK18_Y @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(450,plain,
! [SV37: $i] :
( ( ~ ( a @ ( sK18_Y @ SV37 ) @ ( sK18_Y @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(451,plain,
! [SV37: $i] :
( ( a @ SV37 @ ( sK18_Y @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(452,plain,
! [SV37: $i] :
( ( a @ ( sK18_Y @ SV37 ) @ ( sK18_Y @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(453,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[448,452,451]) ).
thf(454,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( q @ X @ Y ) )
& ! [X: $i] :
( ~ ( s1 @ X )
| ( p1 @ X ) )
& ( s1 @ sK19_A )
& ( s1 @ sK20_SY194 )
& ( r @ sK20_SY194 @ sK21_SY198 )
& ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
~ ( q @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(455,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(456,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(457,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(458,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(459,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(460,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ! [SX1: $i] :
~ ( q @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(461,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(462,plain,
! [SV39: $i] :
( ( ~ ( p1 @ SV39 )
| ! [SY272: $i] :
~ ( q @ SV39 @ SY272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(463,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(464,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(465,plain,
! [SV39: $i] :
( ( ( ~ ( p1 @ SV39 ) )
= $true )
| ( ( ! [SY272: $i] :
~ ( q @ SV39 @ SY272 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(466,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( q @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(467,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(468,plain,
! [SV39: $i] :
( ( ( p1 @ SV39 )
= $false )
| ( ( ! [SY272: $i] :
~ ( q @ SV39 @ SY272 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(469,plain,
! [SV40: $i] :
( ( ! [SY273: $i] :
( ~ ( r @ SV40 @ SY273 )
| ( q @ SV40 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(470,plain,
( ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(471,plain,
! [SV41: $i,SV39: $i] :
( ( ( ~ ( q @ SV39 @ SV41 ) )
= $true )
| ( ( p1 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(472,plain,
! [SV42: $i,SV40: $i] :
( ( ~ ( r @ SV40 @ SV42 )
| ( q @ SV40 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(473,plain,
( ( ~ ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(474,plain,
( ( ~ ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(475,plain,
! [SV41: $i,SV39: $i] :
( ( ( q @ SV39 @ SV41 )
= $false )
| ( ( p1 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(476,plain,
! [SV42: $i,SV40: $i] :
( ( ( ~ ( r @ SV40 @ SV42 ) )
= $true )
| ( ( q @ SV40 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(477,plain,
( ( ! [SX0: $i] :
( ~ ( s1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(478,plain,
( ( ~ ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(479,plain,
! [SV42: $i,SV40: $i] :
( ( ( r @ SV40 @ SV42 )
= $false )
| ( ( q @ SV40 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(480,plain,
! [SV43: $i] :
( ( ~ ( s1 @ SV43 )
| ( p1 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(481,plain,
( ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
| ~ ( r @ sK20_SY194 @ sK21_SY198 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(482,plain,
! [SV43: $i] :
( ( ( ~ ( s1 @ SV43 ) )
= $true )
| ( ( p1 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(483,plain,
( ( ~ ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(484,plain,
( ( ~ ( r @ sK20_SY194 @ sK21_SY198 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(485,plain,
! [SV43: $i] :
( ( ( s1 @ SV43 )
= $false )
| ( ( p1 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(486,plain,
( ( ~ ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(487,plain,
( ( r @ sK20_SY194 @ sK21_SY198 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(488,plain,
( ( ~ ( s1 @ sK19_A )
| ~ ( s1 @ sK20_SY194 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(489,plain,
( ( ~ ( s1 @ sK19_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(490,plain,
( ( ~ ( s1 @ sK20_SY194 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(491,plain,
( ( s1 @ sK19_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(492,plain,
( ( s1 @ sK20_SY194 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(493,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[475,492,491,487,485,479]) ).
thf(494,plain,
( ( ! [Y: $i] :
( ~ ( q1 @ Y )
| ( p1 @ Y ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK23_SY199 ) )
& ( ~ ( p1 @ sK22_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(495,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(496,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(497,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(498,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(499,plain,
( ( ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(500,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(501,plain,
! [SV44: $i] :
( ( ~ ( q1 @ SV44 )
| ( p1 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(502,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(503,plain,
! [SV44: $i] :
( ( ( ~ ( q1 @ SV44 ) )
= $true )
| ( ( p1 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(504,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(505,plain,
( ( ~ ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(506,plain,
! [SV44: $i] :
( ( ( q1 @ SV44 )
= $false )
| ( ( p1 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(507,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(508,plain,
( ( ~ ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(509,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(510,plain,
( ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(511,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(512,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(513,plain,
( ( ~ ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(514,plain,
( ( ~ ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(515,plain,
( ( ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(516,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK23_SY199 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(517,plain,
( ( ~ ( p1 @ sK22_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(518,plain,
( ( ~ ( p1 @ sK22_A )
| ~ ( p1 @ sK23_SY199 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(519,plain,
! [SV45: $i] :
( ( ( p1 @ SV45 )
| ( q1 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(520,plain,
( ( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true )
| ( ( ~ ( p1 @ sK23_SY199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(521,plain,
( ( ( ~ ( p1 @ sK22_A ) )
= $true )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(522,plain,
( ( ( ~ ( p1 @ sK22_A ) )
= $true )
| ( ( ~ ( p1 @ sK23_SY199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(523,plain,
! [SV45: $i] :
( ( ( p1 @ SV45 )
= $true )
| ( ( q1 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(524,plain,
! [SV46: $i] :
( ( ( p1 @ SV46 )
= $true )
| ( ( ~ ( p1 @ sK23_SY199 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(525,plain,
( ( ( p1 @ sK22_A )
= $false )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(526,plain,
( ( ( p1 @ sK22_A )
= $false )
| ( ( ~ ( p1 @ sK23_SY199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(527,plain,
! [SV46: $i] :
( ( ( p1 @ sK23_SY199 )
= $false )
| ( ( p1 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(528,plain,
! [SV47: $i] :
( ( ( q1 @ SV47 )
= $true )
| ( ( p1 @ sK22_A )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(529,plain,
( ( ( p1 @ sK23_SY199 )
= $false )
| ( ( p1 @ sK22_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(530,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[506,529,528,527,523]) ).
thf(531,plain,
( ( ( p1 @ sK24_X )
& ( a0
| ! [X: $i] :
~ ( p1 @ X ) )
& ( ~ $true
| ~ $true
| ! [X: $i] :
~ ( p1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(532,plain,
( ( ~ ( ~ ( p1 @ sK24_X )
| ~ ~ ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
| ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(533,plain,
( ( ~ ( p1 @ sK24_X )
| ~ ~ ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
| ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(534,plain,
( ( ~ ( p1 @ sK24_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(535,plain,
( ( ~ ~ ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
| ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(536,plain,
( ( p1 @ sK24_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(537,plain,
( ( ~ ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
| ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(538,plain,
( ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
| ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(539,plain,
( ( ~ ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(540,plain,
( ( ~ ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(541,plain,
( ( a0
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(542,plain,
( ( ~ $true
| ~ $true
| ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(543,plain,
( ( a0 = $true )
| ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(544,plain,
( ( ( ~ $true
| ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(545,plain,
! [SV48: $i] :
( ( ( ~ ( p1 @ SV48 ) )
= $true )
| ( a0 = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(546,plain,
( ( ( ~ $true )
= $true )
| ( ( ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(547,plain,
! [SV48: $i] :
( ( ( p1 @ SV48 )
= $false )
| ( a0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(548,plain,
( ( $true = $false )
| ( ( ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(549,plain,
( ( $true = $false )
| ( $true = $false )
| ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(550,plain,
! [SV49: $i] :
( ( ( ~ ( p1 @ SV49 ) )
= $true )
| ( $true = $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(551,plain,
! [SV49: $i] :
( ( ( p1 @ SV49 )
= $false )
| ( $true = $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(552,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[536,551,547]) ).
thf(553,plain,
( ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(554,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(555,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(556,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(557,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(558,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(559,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(560,plain,
! [SV50: $i] :
( ( p1 @ SV50 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(561,plain,
! [SV51: $i] :
( ( ~ ( p1 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(562,plain,
! [SV51: $i] :
( ( p1 @ SV51 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(563,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[560,562]) ).
thf(564,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ! [X: $i] : ( p1 @ X )
& ~ ( q1 @ sK25_X ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(565,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( q1 @ sK25_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(566,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( q1 @ sK25_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(567,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(568,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( q1 @ sK25_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(569,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(570,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( q1 @ sK25_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(571,plain,
! [SV52: $i] :
( ( ~ ( p1 @ SV52 )
| ( q1 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(572,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( q1 @ sK25_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(573,plain,
! [SV52: $i] :
( ( ( ~ ( p1 @ SV52 ) )
= $true )
| ( ( q1 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(574,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(575,plain,
( ( ~ ~ ( q1 @ sK25_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(576,plain,
! [SV52: $i] :
( ( ( p1 @ SV52 )
= $false )
| ( ( q1 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(577,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(578,plain,
( ( ~ ( q1 @ sK25_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(579,plain,
! [SV53: $i] :
( ( p1 @ SV53 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(580,plain,
( ( q1 @ sK25_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(581,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[576,580,579]) ).
thf(582,plain,
( ( ! [Z: $i] :
( ~ ( q1 @ Z )
| ( p1 @ Z ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK27_SY206 ) )
& ( ~ ( p1 @ sK26_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(583,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(584,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(585,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(586,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(587,plain,
( ( ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(588,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(589,plain,
! [SV54: $i] :
( ( ~ ( q1 @ SV54 )
| ( p1 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(590,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(591,plain,
! [SV54: $i] :
( ( ( ~ ( q1 @ SV54 ) )
= $true )
| ( ( p1 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(592,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(593,plain,
( ( ~ ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(594,plain,
! [SV54: $i] :
( ( ( q1 @ SV54 )
= $false )
| ( ( p1 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(595,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(596,plain,
( ( ~ ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(597,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(598,plain,
( ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(599,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(600,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(601,plain,
( ( ~ ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(602,plain,
( ( ~ ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(603,plain,
( ( ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(604,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK27_SY206 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(605,plain,
( ( ~ ( p1 @ sK26_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(606,plain,
( ( ~ ( p1 @ sK26_A )
| ~ ( p1 @ sK27_SY206 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(607,plain,
! [SV55: $i] :
( ( ( p1 @ SV55 )
| ( q1 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(608,plain,
( ( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true )
| ( ( ~ ( p1 @ sK27_SY206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(609,plain,
( ( ( ~ ( p1 @ sK26_A ) )
= $true )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(610,plain,
( ( ( ~ ( p1 @ sK26_A ) )
= $true )
| ( ( ~ ( p1 @ sK27_SY206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(611,plain,
! [SV55: $i] :
( ( ( p1 @ SV55 )
= $true )
| ( ( q1 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(612,plain,
! [SV56: $i] :
( ( ( p1 @ SV56 )
= $true )
| ( ( ~ ( p1 @ sK27_SY206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(613,plain,
( ( ( p1 @ sK26_A )
= $false )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(614,plain,
( ( ( p1 @ sK26_A )
= $false )
| ( ( ~ ( p1 @ sK27_SY206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(615,plain,
! [SV56: $i] :
( ( ( p1 @ sK27_SY206 )
= $false )
| ( ( p1 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(616,plain,
! [SV57: $i] :
( ( ( q1 @ SV57 )
= $true )
| ( ( p1 @ sK26_A )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(617,plain,
( ( ( p1 @ sK27_SY206 )
= $false )
| ( ( p1 @ sK26_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(618,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[594,617,616,615,611]) ).
thf(619,plain,
( ( ! [X: $i] :
( ~ ( a1 @ X )
| ( b @ X ) )
& ( a1 @ sK28_X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(620,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK28_X )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(621,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 ) )
| ~ ~ ( ~ ( a1 @ sK28_X )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(622,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(623,plain,
( ( ~ ~ ( ~ ( a1 @ sK28_X )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(624,plain,
( ( ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ( b @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(625,plain,
( ( ~ ( ~ ( a1 @ sK28_X )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(626,plain,
! [SV58: $i] :
( ( ~ ( a1 @ SV58 )
| ( b @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(627,plain,
( ( ~ ( a1 @ sK28_X )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(628,plain,
! [SV58: $i] :
( ( ( ~ ( a1 @ SV58 ) )
= $true )
| ( ( b @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(629,plain,
( ( ~ ( a1 @ sK28_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(630,plain,
( ( ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(631,plain,
! [SV58: $i] :
( ( ( a1 @ SV58 )
= $false )
| ( ( b @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(632,plain,
( ( a1 @ sK28_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(633,plain,
( ( ! [SX0: $i] :
~ ( b @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(634,plain,
! [SV59: $i] :
( ( ~ ( b @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(635,plain,
! [SV59: $i] :
( ( b @ SV59 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(636,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[631,635,632]) ).
thf(637,plain,
( ( ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) )
& ! [X: $i] : ( a1 @ X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(638,plain,
( ( ~ ( ~ ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) )
| ~ ~ ( ~ ! [SX0: $i] : ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(639,plain,
( ( ~ ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) )
| ~ ~ ( ~ ! [SX0: $i] : ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(640,plain,
( ( ~ ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(641,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(642,plain,
( ( ~ ( a1 @ sK30_X )
| ( b @ sK29_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(643,plain,
( ( ~ ( ~ ! [SX0: $i] : ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(644,plain,
( ( ( ~ ( a1 @ sK30_X ) )
= $true )
| ( ( b @ sK29_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(645,plain,
( ( ~ ! [SX0: $i] : ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(646,plain,
( ( ( a1 @ sK30_X )
= $false )
| ( ( b @ sK29_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(647,plain,
( ( ~ ! [SX0: $i] : ( a1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(648,plain,
( ( ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(649,plain,
( ( ! [SX0: $i] : ( a1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(650,plain,
( ( ! [SX0: $i] :
~ ( b @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(651,plain,
! [SV60: $i] :
( ( a1 @ SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(652,plain,
! [SV61: $i] :
( ( ~ ( b @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(653,plain,
! [SV61: $i] :
( ( b @ SV61 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(654,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[646,653,651]) ).
thf(655,plain,
( ( ! [SY213: $i] :
( ~ ( a @ SY213 @ sK31_Y )
| ~ ( a @ SY213 @ SY213 ) )
& ! [SY214: $i] :
( ( a @ SY214 @ SY214 )
| ( a @ SY214 @ sK31_Y ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(656,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( a @ SX0 @ sK31_Y )
| ~ ( a @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( a @ SX0 @ SX0 )
| ( a @ SX0 @ sK31_Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[655]) ).
thf(657,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a @ SX0 @ sK31_Y )
| ~ ( a @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( a @ SX0 @ SX0 )
| ( a @ SX0 @ sK31_Y ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(658,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a @ SX0 @ sK31_Y )
| ~ ( a @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(659,plain,
( ( ~ ! [SX0: $i] :
( ( a @ SX0 @ SX0 )
| ( a @ SX0 @ sK31_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(660,plain,
( ( ! [SX0: $i] :
( ~ ( a @ SX0 @ sK31_Y )
| ~ ( a @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(661,plain,
( ( ! [SX0: $i] :
( ( a @ SX0 @ SX0 )
| ( a @ SX0 @ sK31_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(662,plain,
! [SV62: $i] :
( ( ~ ( a @ SV62 @ sK31_Y )
| ~ ( a @ SV62 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(663,plain,
! [SV63: $i] :
( ( ( a @ SV63 @ SV63 )
| ( a @ SV63 @ sK31_Y ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(664,plain,
! [SV62: $i] :
( ( ( ~ ( a @ SV62 @ sK31_Y ) )
= $true )
| ( ( ~ ( a @ SV62 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(665,plain,
! [SV63: $i] :
( ( ( a @ SV63 @ SV63 )
= $true )
| ( ( a @ SV63 @ sK31_Y )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(666,plain,
! [SV62: $i] :
( ( ( a @ SV62 @ sK31_Y )
= $false )
| ( ( ~ ( a @ SV62 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(667,plain,
! [SV62: $i] :
( ( ( a @ SV62 @ SV62 )
= $false )
| ( ( a @ SV62 @ sK31_Y )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(668,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[665,667]) ).
thf(669,plain,
( ( ! [X: $i] : ( b @ X )
& ( a1 @ sK32_X )
& ! [X: $i] :
( ~ ( a1 @ X )
| ~ ( b @ X ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(670,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] : ( b @ SX0 )
| ~ ( a1 @ sK32_X ) )
| ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[669]) ).
thf(671,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( b @ SX0 )
| ~ ( a1 @ sK32_X ) )
| ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(672,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( b @ SX0 )
| ~ ( a1 @ sK32_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(673,plain,
( ( ~ ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(674,plain,
( ( ~ ( ~ ! [SX0: $i] : ( b @ SX0 )
| ~ ( a1 @ sK32_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(675,plain,
( ( ! [SX0: $i] :
( ~ ( a1 @ SX0 )
| ~ ( b @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(676,plain,
( ( ~ ! [SX0: $i] : ( b @ SX0 )
| ~ ( a1 @ sK32_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(677,plain,
! [SV64: $i] :
( ( ~ ( a1 @ SV64 )
| ~ ( b @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(678,plain,
( ( ~ ! [SX0: $i] : ( b @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(679,plain,
( ( ~ ( a1 @ sK32_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(680,plain,
! [SV64: $i] :
( ( ( ~ ( a1 @ SV64 ) )
= $true )
| ( ( ~ ( b @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(681,plain,
( ( ! [SX0: $i] : ( b @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(682,plain,
( ( a1 @ sK32_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(683,plain,
! [SV64: $i] :
( ( ( a1 @ SV64 )
= $false )
| ( ( ~ ( b @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(684,plain,
! [SV65: $i] :
( ( b @ SV65 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(685,plain,
! [SV64: $i] :
( ( ( b @ SV64 )
= $false )
| ( ( a1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(686,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[682,685,684]) ).
thf(687,plain,
( ( ( b @ sK33_X )
& ! [X: $i] :
~ ( a1 @ X )
& ! [X: $i] :
~ ( b @ X ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(688,plain,
( ( ~ ( ~ ( b @ sK33_X )
| ~ ~ ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[687]) ).
thf(689,plain,
( ( ~ ( b @ sK33_X )
| ~ ~ ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(690,plain,
( ( ~ ( b @ sK33_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(691,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(692,plain,
( ( b @ sK33_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(693,plain,
( ( ~ ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(694,plain,
( ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(695,plain,
( ( ~ ! [SX0: $i] :
~ ( a1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(696,plain,
( ( ~ ! [SX0: $i] :
~ ( b @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(697,plain,
( ( ! [SX0: $i] :
~ ( a1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(698,plain,
( ( ! [SX0: $i] :
~ ( b @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(699,plain,
! [SV66: $i] :
( ( ~ ( a1 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(700,plain,
! [SV67: $i] :
( ( ~ ( b @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(701,plain,
! [SV66: $i] :
( ( a1 @ SV66 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(702,plain,
! [SV67: $i] :
( ( b @ SV67 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(703,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[692,702,701]) ).
thf(704,plain,
( ( ( a @ sK34_X @ sK35_SY215 )
& ! [Y: $i,X: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(705,plain,
( ( ~ ( ~ ( a @ sK34_X @ sK35_SY215 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[704]) ).
thf(706,plain,
( ( ~ ( a @ sK34_X @ sK35_SY215 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(707,plain,
( ( ~ ( a @ sK34_X @ sK35_SY215 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(708,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(709,plain,
( ( a @ sK34_X @ sK35_SY215 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(710,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(711,plain,
! [SV68: $i] :
( ( ! [SY274: $i] :
~ ( a @ SY274 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(712,plain,
! [SV68: $i,SV69: $i] :
( ( ~ ( a @ SV69 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(713,plain,
! [SV68: $i,SV69: $i] :
( ( a @ SV69 @ SV68 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(714,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[709,713]) ).
thf(715,plain,
( ( ( a @ sK37_SY216 @ sK36_Y )
& ! [X: $i,Y: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(716,plain,
( ( ~ ( ~ ( a @ sK37_SY216 @ sK36_Y )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[715]) ).
thf(717,plain,
( ( ~ ( a @ sK37_SY216 @ sK36_Y )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(718,plain,
( ( ~ ( a @ sK37_SY216 @ sK36_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(719,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(720,plain,
( ( a @ sK37_SY216 @ sK36_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(721,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(722,plain,
! [SV70: $i] :
( ( ! [SY275: $i] :
~ ( a @ SV70 @ SY275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(723,plain,
! [SV71: $i,SV70: $i] :
( ( ~ ( a @ SV70 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(724,plain,
! [SV71: $i,SV70: $i] :
( ( a @ SV70 @ SV71 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(725,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[720,724]) ).
thf(726,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(727,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[726]) ).
thf(728,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(729,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(730,plain,
( ( ~ ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(731,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(732,plain,
( ( ~ ( p1 @ sK39_A )
| ~ ( p1 @ sK38_B ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(733,plain,
! [SV72: $i] :
( ( p1 @ SV72 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(734,plain,
( ( ( ~ ( p1 @ sK39_A ) )
= $true )
| ( ( ~ ( p1 @ sK38_B ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(735,plain,
( ( ( p1 @ sK39_A )
= $false )
| ( ( ~ ( p1 @ sK38_B ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(736,plain,
( ( ( p1 @ sK38_B )
= $false )
| ( ( p1 @ sK39_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(737,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[733,736]) ).
thf(738,plain,
( ( ! [X: $i] : ( p1 @ X )
& ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(739,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[738]) ).
thf(740,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(741,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(742,plain,
( ( ~ ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(743,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(744,plain,
( ( ~ ( p1 @ sK41_X )
| ~ ( p1 @ sK40_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(745,plain,
! [SV73: $i] :
( ( p1 @ SV73 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(746,plain,
( ( ( ~ ( p1 @ sK41_X ) )
= $true )
| ( ( ~ ( p1 @ sK40_Y ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(747,plain,
( ( ( p1 @ sK41_X )
= $false )
| ( ( ~ ( p1 @ sK40_Y ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(748,plain,
( ( ( p1 @ sK40_Y )
= $false )
| ( ( p1 @ sK41_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(749,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[745,748]) ).
thf(750,plain,
( ( ( p1 @ sK42_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(751,plain,
( ( ~ ( ~ ( p1 @ sK42_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[750]) ).
thf(752,plain,
( ( ~ ( p1 @ sK42_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(753,plain,
( ( ~ ( p1 @ sK42_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(754,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(755,plain,
( ( p1 @ sK42_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(756,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(757,plain,
! [SV74: $i] :
( ( ~ ( p1 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(758,plain,
! [SV74: $i] :
( ( p1 @ SV74 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(759,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[755,758]) ).
thf(760,plain,
( ( ( p1 @ sK43_Y )
& ! [X: $i] :
~ ( p1 @ X ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(761,plain,
( ( ~ ( ~ ( p1 @ sK43_Y )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[760]) ).
thf(762,plain,
( ( ~ ( p1 @ sK43_Y )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(763,plain,
( ( ~ ( p1 @ sK43_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(764,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(765,plain,
( ( p1 @ sK43_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(766,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(767,plain,
! [SV75: $i] :
( ( ~ ( p1 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(768,plain,
! [SV75: $i] :
( ( p1 @ SV75 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(769,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[765,768]) ).
thf(770,plain,
( ( ( p1 @ sK44_X )
& ! [Z: $i] :
~ ( p1 @ Z ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(771,plain,
( ( ~ ( ~ ( p1 @ sK44_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[770]) ).
thf(772,plain,
( ( ~ ( p1 @ sK44_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(773,plain,
( ( ~ ( p1 @ sK44_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(774,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(775,plain,
( ( p1 @ sK44_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(776,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(777,plain,
! [SV76: $i] :
( ( ~ ( p1 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(778,plain,
! [SV76: $i] :
( ( p1 @ SV76 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(779,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[775,778]) ).
thf(780,plain,
( ( ! [Z: $i] :
( ! [SY217: $i] :
( ( p @ SY217 @ ( sK45_X @ Z ) )
| ( p @ Z @ SY217 ) )
& ! [SY218: $i] :
( ( p @ SY218 @ ( sK45_X @ Z ) )
| ( p @ SY218 @ Z ) )
& ! [SY219: $i] :
( ( p @ SY219 @ ( sK45_X @ Z ) )
| ~ ( p @ SY219 @ ( sK45_X @ Z ) ) )
& ! [Y: $i] :
( ! [W: $i] :
~ ( p @ W @ Y )
| ( p @ Z @ Y ) )
& ! [Y: $i] :
( ! [W: $i] :
~ ( p @ W @ Y )
| ( p @ Y @ Z ) )
& ! [SY224: $i] :
( ! [W: $i] :
~ ( p @ W @ SY224 )
| ~ ( p @ SY224 @ ( sK45_X @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(781,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( p @ SX1 @ ( sK45_X @ SX0 ) )
| ( p @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ( p @ SX1 @ ( sK45_X @ SX0 ) )
| ( p @ SX1 @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( p @ SX1 @ ( sK45_X @ SX0 ) )
| ~ ( p @ SX1 @ ( sK45_X @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SX1 )
| ( p @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SX1 )
| ( p @ SX1 @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SX1 )
| ~ ( p @ SX1 @ ( sK45_X @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[780]) ).
thf(782,plain,
! [SV77: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
| ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
| ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(783,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
| ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
| ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(784,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
| ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(785,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
| ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(786,plain,
! [SV77: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
| ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(787,plain,
! [SV77: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
| ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(788,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
| ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(789,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
| ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(790,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(791,plain,
! [SV77: $i] :
( ( ~ ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(792,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(793,plain,
! [SV77: $i] :
( ( ~ ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(794,plain,
! [SV77: $i] :
( ( ~ ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(795,plain,
! [SV77: $i] :
( ( ! [SY278: $i] :
( ( p @ SY278 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SY278 @ ( sK45_X @ SV77 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(796,plain,
! [SV77: $i] :
( ( ~ ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(797,plain,
! [SV77: $i] :
( ( ! [SY283: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY283 )
| ~ ( p @ SY283 @ ( sK45_X @ SV77 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(798,plain,
! [SV77: $i] :
( ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) )
| ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(799,plain,
! [SV77: $i,SV78: $i] :
( ( ( p @ SV78 @ ( sK45_X @ SV77 ) )
| ~ ( p @ SV78 @ ( sK45_X @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(800,plain,
! [SV77: $i] :
( ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) )
| ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(801,plain,
! [SV77: $i,SV79: $i] :
( ( ! [SY285: $i] :
~ ( p @ SY285 @ SV79 )
| ~ ( p @ SV79 @ ( sK45_X @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(802,plain,
! [SV77: $i] :
( ( ~ ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(803,plain,
! [SV77: $i] :
( ( ~ ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(804,plain,
! [SV77: $i,SV78: $i] :
( ( ( p @ SV78 @ ( sK45_X @ SV77 ) )
= $true )
| ( ( ~ ( p @ SV78 @ ( sK45_X @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(805,plain,
! [SV77: $i] :
( ( ~ ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(806,plain,
! [SV77: $i] :
( ( ~ ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(807,plain,
! [SV77: $i,SV79: $i] :
( ( ( ! [SY285: $i] :
~ ( p @ SY285 @ SV79 ) )
= $true )
| ( ( ~ ( p @ SV79 @ ( sK45_X @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(808,plain,
! [SV77: $i] :
( ( ! [SY276: $i] :
( ( p @ SY276 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SY276 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(809,plain,
! [SV77: $i] :
( ( ! [SY277: $i] :
( ( p @ SY277 @ ( sK45_X @ SV77 ) )
| ( p @ SY277 @ SV77 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(810,plain,
! [SV77: $i,SV78: $i] :
( ( ( p @ SV78 @ ( sK45_X @ SV77 ) )
= $false )
| ( ( p @ SV78 @ ( sK45_X @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(811,plain,
! [SV77: $i] :
( ( ! [SY279: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY279 )
| ( p @ SV77 @ SY279 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(812,plain,
! [SV77: $i] :
( ( ! [SY281: $i] :
( ! [SX2: $i] :
~ ( p @ SX2 @ SY281 )
| ( p @ SY281 @ SV77 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(813,plain,
! [SV77: $i,SV79: $i,SV80: $i] :
( ( ( ~ ( p @ SV80 @ SV79 ) )
= $true )
| ( ( ~ ( p @ SV79 @ ( sK45_X @ SV77 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(814,plain,
! [SV77: $i,SV81: $i] :
( ( ( p @ SV81 @ ( sK45_X @ SV77 ) )
| ( p @ SV77 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(815,plain,
! [SV77: $i,SV82: $i] :
( ( ( p @ SV82 @ ( sK45_X @ SV77 ) )
| ( p @ SV82 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(816,plain,
! [SV77: $i,SV83: $i] :
( ( ! [SY286: $i] :
~ ( p @ SY286 @ SV83 )
| ( p @ SV77 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(817,plain,
! [SV77: $i,SV84: $i] :
( ( ! [SY287: $i] :
~ ( p @ SY287 @ SV84 )
| ( p @ SV84 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(818,plain,
! [SV77: $i,SV79: $i,SV80: $i] :
( ( ( p @ SV80 @ SV79 )
= $false )
| ( ( ~ ( p @ SV79 @ ( sK45_X @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(819,plain,
! [SV77: $i,SV81: $i] :
( ( ( p @ SV81 @ ( sK45_X @ SV77 ) )
= $true )
| ( ( p @ SV77 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(820,plain,
! [SV77: $i,SV82: $i] :
( ( ( p @ SV82 @ ( sK45_X @ SV77 ) )
= $true )
| ( ( p @ SV82 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(821,plain,
! [SV77: $i,SV83: $i] :
( ( ( ! [SY286: $i] :
~ ( p @ SY286 @ SV83 ) )
= $true )
| ( ( p @ SV77 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(822,plain,
! [SV77: $i,SV84: $i] :
( ( ( ! [SY287: $i] :
~ ( p @ SY287 @ SV84 ) )
= $true )
| ( ( p @ SV84 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(823,plain,
! [SV80: $i,SV77: $i,SV79: $i] :
( ( ( p @ SV79 @ ( sK45_X @ SV77 ) )
= $false )
| ( ( p @ SV80 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(824,plain,
! [SV77: $i,SV83: $i,SV85: $i] :
( ( ( ~ ( p @ SV85 @ SV83 ) )
= $true )
| ( ( p @ SV77 @ SV83 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(825,plain,
! [SV77: $i,SV84: $i,SV86: $i] :
( ( ( ~ ( p @ SV86 @ SV84 ) )
= $true )
| ( ( p @ SV84 @ SV77 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(826,plain,
! [SV77: $i,SV83: $i,SV85: $i] :
( ( ( p @ SV85 @ SV83 )
= $false )
| ( ( p @ SV77 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(827,plain,
! [SV77: $i,SV84: $i,SV86: $i] :
( ( ( p @ SV86 @ SV84 )
= $false )
| ( ( p @ SV84 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(828,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[810,827,826,823,820,819]) ).
thf(829,plain,
( ( ! [X: $i,Y: $i] :
( ( ( ~ ( a_member_of @ ( sK48_Z @ Y @ X ) @ X )
| ~ ( a_member_of @ ( sK48_Z @ Y @ X ) @ Y ) )
& ( ( a_member_of @ ( sK48_Z @ Y @ X ) @ X )
| ( a_member_of @ ( sK48_Z @ Y @ X ) @ Y ) ) )
| ( eq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( eq @ X @ Y )
| ( ! [Z: $i] :
( ~ ( a_member_of @ Z @ X )
| ( a_member_of @ Z @ Y ) )
& ! [Z: $i] :
( ~ ( a_member_of @ Z @ Y )
| ( a_member_of @ Z @ X ) ) ) )
& ( eq @ sK46_A @ sK47_SY226 )
& ~ ( eq @ sK47_SY226 @ sK46_A ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(830,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( eq @ sK46_A @ sK47_SY226 )
| ~ ~ ( eq @ sK47_SY226 @ sK46_A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[829]) ).
thf(831,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( eq @ sK46_A @ sK47_SY226 )
| ~ ~ ( eq @ sK47_SY226 @ sK46_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(832,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(833,plain,
( ( ~ ~ ( ~ ( eq @ sK46_A @ sK47_SY226 )
| ~ ~ ( eq @ sK47_SY226 @ sK46_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(834,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(835,plain,
( ( ~ ( ~ ( eq @ sK46_A @ sK47_SY226 )
| ~ ~ ( eq @ sK47_SY226 @ sK46_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(836,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(837,plain,
( ( ~ ( eq @ sK46_A @ sK47_SY226 )
| ~ ~ ( eq @ sK47_SY226 @ sK46_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(838,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(839,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(840,plain,
( ( ~ ( eq @ sK46_A @ sK47_SY226 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(841,plain,
( ( ~ ~ ( eq @ sK47_SY226 @ sK46_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(842,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX0 )
| ( a_member_of @ ( sK48_Z @ SX1 @ SX0 ) @ SX1 ) ) )
| ( eq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(843,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX0 )
| ( a_member_of @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( a_member_of @ SX2 @ SX1 )
| ( a_member_of @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(844,plain,
( ( eq @ sK46_A @ sK47_SY226 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(845,plain,
( ( ~ ( eq @ sK47_SY226 @ sK46_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(846,plain,
! [SV87: $i] :
( ( ! [SY288: $i] :
( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SY288 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SY288 @ SV87 ) @ SY288 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SY288 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SY288 @ SV87 ) @ SY288 ) ) )
| ( eq @ SV87 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(847,plain,
! [SV88: $i] :
( ( ! [SY289: $i] :
( ~ ( eq @ SV88 @ SY289 )
| ~ ( ~ ! [SY290: $i] :
( ~ ( a_member_of @ SY290 @ SV88 )
| ( a_member_of @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ~ ( a_member_of @ SY291 @ SY289 )
| ( a_member_of @ SY291 @ SV88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(848,plain,
( ( eq @ sK47_SY226 @ sK46_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(849,plain,
! [SV87: $i,SV89: $i] :
( ( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) ) )
| ( eq @ SV87 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(850,plain,
! [SV90: $i,SV88: $i] :
( ( ~ ( eq @ SV88 @ SV90 )
| ~ ( ~ ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) )
| ~ ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(851,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) ) ) )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(852,plain,
! [SV90: $i,SV88: $i] :
( ( ( ~ ( eq @ SV88 @ SV90 ) )
= $true )
| ( ( ~ ( ~ ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) )
| ~ ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(853,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
| ~ ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) ) )
= $false )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(854,plain,
! [SV90: $i,SV88: $i] :
( ( ( eq @ SV88 @ SV90 )
= $false )
| ( ( ~ ( ~ ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) )
| ~ ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(855,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) ) )
= $false )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(856,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) ) )
= $false )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(857,plain,
! [SV90: $i,SV88: $i] :
( ( ( ~ ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) )
| ~ ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) )
= $false )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(858,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(859,plain,
! [SV87: $i,SV89: $i] :
( ( ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
| ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(860,plain,
! [SV90: $i,SV88: $i] :
( ( ( ~ ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) ) )
= $false )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(861,plain,
! [SV88: $i,SV90: $i] :
( ( ( ~ ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) )
= $false )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(862,plain,
! [SV87: $i,SV89: $i] :
( ( ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 ) )
= $true )
| ( ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(863,plain,
! [SV87: $i,SV89: $i] :
( ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
= $true )
| ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(864,plain,
! [SV90: $i,SV88: $i] :
( ( ( ! [SY292: $i] :
( ~ ( a_member_of @ SY292 @ SV88 )
| ( a_member_of @ SY292 @ SV90 ) ) )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(865,plain,
! [SV88: $i,SV90: $i] :
( ( ( ! [SY293: $i] :
( ~ ( a_member_of @ SY293 @ SV90 )
| ( a_member_of @ SY293 @ SV88 ) ) )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(866,plain,
! [SV87: $i,SV89: $i] :
( ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
= $false )
| ( ( ~ ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 ) )
= $true )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(867,plain,
! [SV90: $i,SV88: $i,SV91: $i] :
( ( ( ~ ( a_member_of @ SV91 @ SV88 )
| ( a_member_of @ SV91 @ SV90 ) )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(868,plain,
! [SV88: $i,SV90: $i,SV92: $i] :
( ( ( ~ ( a_member_of @ SV92 @ SV90 )
| ( a_member_of @ SV92 @ SV88 ) )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(869,plain,
! [SV87: $i,SV89: $i] :
( ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV89 )
= $false )
| ( ( a_member_of @ ( sK48_Z @ SV89 @ SV87 ) @ SV87 )
= $false )
| ( ( eq @ SV87 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(870,plain,
! [SV90: $i,SV88: $i,SV91: $i] :
( ( ( ~ ( a_member_of @ SV91 @ SV88 ) )
= $true )
| ( ( a_member_of @ SV91 @ SV90 )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(871,plain,
! [SV88: $i,SV90: $i,SV92: $i] :
( ( ( ~ ( a_member_of @ SV92 @ SV90 ) )
= $true )
| ( ( a_member_of @ SV92 @ SV88 )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(872,plain,
! [SV90: $i,SV88: $i,SV91: $i] :
( ( ( a_member_of @ SV91 @ SV88 )
= $false )
| ( ( a_member_of @ SV91 @ SV90 )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(873,plain,
! [SV88: $i,SV90: $i,SV92: $i] :
( ( ( a_member_of @ SV92 @ SV90 )
= $false )
| ( ( a_member_of @ SV92 @ SV88 )
= $true )
| ( ( eq @ SV88 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(874,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[844,873,872,869,863,848]) ).
thf(875,plain,
( ( ! [Y: $i] :
( ~ ( q1 @ Y )
| ( p1 @ Y ) )
& ! [X: $i] :
( ( p1 @ X )
| ( q1 @ X ) )
& ( ! [X: $i] : ( p1 @ X )
| ~ ( p1 @ sK50_SY227 ) )
& ( ~ ( p1 @ sK49_A )
| ! [X: $i] : ( q1 @ X ) )
& ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(876,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[875]) ).
thf(877,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(878,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(879,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(880,plain,
( ( ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(881,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[879]) ).
thf(882,plain,
! [SV93: $i] :
( ( ~ ( q1 @ SV93 )
| ( p1 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(883,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
| ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(884,plain,
! [SV93: $i] :
( ( ( ~ ( q1 @ SV93 ) )
= $true )
| ( ( p1 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(885,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(886,plain,
( ( ~ ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(887,plain,
! [SV93: $i] :
( ( ( q1 @ SV93 )
= $false )
| ( ( p1 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(888,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(889,plain,
( ( ~ ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(890,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(891,plain,
( ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(892,plain,
( ( ~ ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(893,plain,
( ( ~ ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(894,plain,
( ( ~ ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(895,plain,
( ( ~ ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(896,plain,
( ( ! [SX0: $i] :
( ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(897,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 )
| ~ ( p1 @ sK50_SY227 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(898,plain,
( ( ~ ( p1 @ sK49_A )
| ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(899,plain,
( ( ~ ( p1 @ sK49_A )
| ~ ( p1 @ sK50_SY227 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(900,plain,
! [SV94: $i] :
( ( ( p1 @ SV94 )
| ( q1 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(901,plain,
( ( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true )
| ( ( ~ ( p1 @ sK50_SY227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(902,plain,
( ( ( ~ ( p1 @ sK49_A ) )
= $true )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(903,plain,
( ( ( ~ ( p1 @ sK49_A ) )
= $true )
| ( ( ~ ( p1 @ sK50_SY227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(904,plain,
! [SV94: $i] :
( ( ( p1 @ SV94 )
= $true )
| ( ( q1 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(905,plain,
! [SV95: $i] :
( ( ( p1 @ SV95 )
= $true )
| ( ( ~ ( p1 @ sK50_SY227 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(906,plain,
( ( ( p1 @ sK49_A )
= $false )
| ( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(907,plain,
( ( ( p1 @ sK49_A )
= $false )
| ( ( ~ ( p1 @ sK50_SY227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(908,plain,
! [SV95: $i] :
( ( ( p1 @ sK50_SY227 )
= $false )
| ( ( p1 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(909,plain,
! [SV96: $i] :
( ( ( q1 @ SV96 )
= $true )
| ( ( p1 @ sK49_A )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(910,plain,
( ( ( p1 @ sK50_SY227 )
= $false )
| ( ( p1 @ sK49_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(911,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[887,910,909,908,904]) ).
thf(912,plain,
( ( ! [X: $i] : ( p1 @ X )
& ~ ( p1 @ sK51_Y ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(913,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( p1 @ sK51_Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[912]) ).
thf(914,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ~ ( p1 @ sK51_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(915,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(916,plain,
( ( ~ ~ ( p1 @ sK51_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(917,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(918,plain,
( ( ~ ( p1 @ sK51_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(919,plain,
! [SV97: $i] :
( ( p1 @ SV97 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(920,plain,
( ( p1 @ sK51_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(921,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[919,920]) ).
thf(922,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ( r1 @ sK52_B )
& ! [Y: $i] :
( ~ ( r1 @ Y )
| ( p1 @ Y ) )
& ~ ( q1 @ sK52_B ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(923,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( r1 @ sK52_B ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( q1 @ sK52_B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[922]) ).
thf(924,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( r1 @ sK52_B ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( q1 @ sK52_B ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(925,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( r1 @ sK52_B ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(926,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( q1 @ sK52_B ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(927,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( r1 @ sK52_B ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(928,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( q1 @ sK52_B ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(929,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( r1 @ sK52_B ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(930,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) )
| ~ ~ ( q1 @ sK52_B ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(931,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(932,plain,
( ( ~ ( r1 @ sK52_B ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(933,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(934,plain,
( ( ~ ~ ( q1 @ sK52_B ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(935,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(936,plain,
( ( r1 @ sK52_B )
= $true ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(937,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(938,plain,
( ( ~ ( q1 @ sK52_B ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(939,plain,
! [SV98: $i] :
( ( ~ ( p1 @ SV98 )
| ( q1 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(940,plain,
! [SV99: $i] :
( ( ~ ( r1 @ SV99 )
| ( p1 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(941,plain,
( ( q1 @ sK52_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(942,plain,
! [SV98: $i] :
( ( ( ~ ( p1 @ SV98 ) )
= $true )
| ( ( q1 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(943,plain,
! [SV99: $i] :
( ( ( ~ ( r1 @ SV99 ) )
= $true )
| ( ( p1 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(944,plain,
! [SV98: $i] :
( ( ( p1 @ SV98 )
= $false )
| ( ( q1 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(945,plain,
! [SV99: $i] :
( ( ( r1 @ SV99 )
= $false )
| ( ( p1 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(946,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[936,945,944,941]) ).
thf(947,plain,
( ( ( ! [X: $i] :
~ ( p1 @ X )
| ! [Y: $i] : ( r1 @ Y ) )
& ( p1 @ sK53_A )
& ~ ( r1 @ sK54_SY236 ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(948,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( p1 @ SX0 )
| ! [SX0: $i] : ( r1 @ SX0 ) )
| ~ ~ ( ~ ( p1 @ sK53_A )
| ~ ~ ( r1 @ sK54_SY236 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[947]) ).
thf(949,plain,
( ( ~ ( ! [SX0: $i] :
~ ( p1 @ SX0 )
| ! [SX0: $i] : ( r1 @ SX0 ) )
| ~ ~ ( ~ ( p1 @ sK53_A )
| ~ ~ ( r1 @ sK54_SY236 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(950,plain,
( ( ~ ( ! [SX0: $i] :
~ ( p1 @ SX0 )
| ! [SX0: $i] : ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(951,plain,
( ( ~ ~ ( ~ ( p1 @ sK53_A )
| ~ ~ ( r1 @ sK54_SY236 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(952,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 )
| ! [SX0: $i] : ( r1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(953,plain,
( ( ~ ( ~ ( p1 @ sK53_A )
| ~ ~ ( r1 @ sK54_SY236 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(954,plain,
( ( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( r1 @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(955,plain,
( ( ~ ( p1 @ sK53_A )
| ~ ~ ( r1 @ sK54_SY236 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(956,plain,
! [SV100: $i] :
( ( ( ~ ( p1 @ SV100 ) )
= $true )
| ( ( ! [SX0: $i] : ( r1 @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(957,plain,
( ( ~ ( p1 @ sK53_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(958,plain,
( ( ~ ~ ( r1 @ sK54_SY236 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(959,plain,
! [SV100: $i] :
( ( ( p1 @ SV100 )
= $false )
| ( ( ! [SX0: $i] : ( r1 @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(960,plain,
( ( p1 @ sK53_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(961,plain,
( ( ~ ( r1 @ sK54_SY236 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(962,plain,
! [SV100: $i,SV101: $i] :
( ( ( r1 @ SV101 )
= $true )
| ( ( p1 @ SV100 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(963,plain,
( ( r1 @ sK54_SY236 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(964,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[960,963,962]) ).
thf(965,plain,
( ( ( p1 @ sK55_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(966,plain,
( ( ~ ( ~ ( p1 @ sK55_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[965]) ).
thf(967,plain,
( ( ~ ( p1 @ sK55_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(968,plain,
( ( ~ ( p1 @ sK55_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(969,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(970,plain,
( ( p1 @ sK55_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(971,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(972,plain,
! [SV102: $i] :
( ( ~ ( p1 @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(973,plain,
! [SV102: $i] :
( ( p1 @ SV102 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(974,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[970,973]) ).
thf(975,plain,
( ( ! [SY242: $i] : ( p @ sK57_X @ SY242 )
& ! [SY241: $i] :
~ ( p @ SY241 @ sK56_Y ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(976,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p @ sK57_X @ SX0 )
| ~ ! [SX0: $i] :
~ ( p @ SX0 @ sK56_Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[975]) ).
thf(977,plain,
( ( ~ ! [SX0: $i] : ( p @ sK57_X @ SX0 )
| ~ ! [SX0: $i] :
~ ( p @ SX0 @ sK56_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(978,plain,
( ( ~ ! [SX0: $i] : ( p @ sK57_X @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(979,plain,
( ( ~ ! [SX0: $i] :
~ ( p @ SX0 @ sK56_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(980,plain,
( ( ! [SX0: $i] : ( p @ sK57_X @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(981,plain,
( ( ! [SX0: $i] :
~ ( p @ SX0 @ sK56_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(982,plain,
! [SV103: $i] :
( ( p @ sK57_X @ SV103 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(983,plain,
! [SV104: $i] :
( ( ~ ( p @ SV104 @ sK56_Y ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(984,plain,
! [SV104: $i] :
( ( p @ SV104 @ sK56_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(985,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[982,984]) ).
thf(986,plain,
( ( ~ $true )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(987,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(988,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[987]) ).
thf(989,plain,
( ( ( p1 @ sK58_X )
& ! [Y: $i] :
~ ( p1 @ Y ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(990,plain,
( ( ~ ( ~ ( p1 @ sK58_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[989]) ).
thf(991,plain,
( ( ~ ( p1 @ sK58_X )
| ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(992,plain,
( ( ~ ( p1 @ sK58_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(993,plain,
( ( ~ ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(994,plain,
( ( p1 @ sK58_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(995,plain,
( ( ! [SX0: $i] :
~ ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(996,plain,
! [SV105: $i] :
( ( ~ ( p1 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(997,plain,
! [SV105: $i] :
( ( p1 @ SV105 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(998,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[994,997]) ).
thf(999,plain,
( ( ! [X: $i,Y: $i] : ( p @ X @ Y )
& ~ ( p @ sK59_X @ sK59_X ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1000,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 )
| ~ ~ ( p @ sK59_X @ sK59_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[999]) ).
thf(1001,plain,
( ( ~ ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 )
| ~ ~ ( p @ sK59_X @ sK59_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1002,plain,
( ( ~ ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1003,plain,
( ( ~ ~ ( p @ sK59_X @ sK59_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1004,plain,
( ( ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1005,plain,
( ( ~ ( p @ sK59_X @ sK59_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1006,plain,
! [SV106: $i] :
( ( ! [SY294: $i] : ( p @ SV106 @ SY294 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1007,plain,
( ( p @ sK59_X @ sK59_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1008,plain,
! [SV107: $i,SV106: $i] :
( ( p @ SV106 @ SV107 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1009,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1007,1008]) ).
thf(1010,plain,
( ( ! [X: $i] : ( p1 @ X )
& ! [X: $i] : ( q1 @ X )
& ( f0
| g0 )
& ~ ( q1 @ sK60_A ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1011,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( f0
| g0 ) )
| ~ ~ ( q1 @ sK60_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1010]) ).
thf(1012,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( f0
| g0 ) )
| ~ ~ ( q1 @ sK60_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1013,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( f0
| g0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1014,plain,
( ( ~ ~ ( q1 @ sK60_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1015,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( f0
| g0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1016,plain,
( ( ~ ( q1 @ sK60_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1017,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
| ~ ( f0
| g0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1018,plain,
( ( q1 @ sK60_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1019,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1020,plain,
( ( ~ ( f0
| g0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1021,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1022,plain,
( ( f0
| g0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1023,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] : ( q1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1024,plain,
( ( f0 = $true )
| ( g0 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1025,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1026,plain,
( ( ~ ! [SX0: $i] : ( q1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1027,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1028,plain,
( ( ! [SX0: $i] : ( q1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1029,plain,
! [SV108: $i] :
( ( p1 @ SV108 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1030,plain,
! [SV109: $i] :
( ( q1 @ SV109 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1031,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1018,1030,1029,1024]) ).
thf(1032,plain,
( ( ~ b0
& ( ~ a0
| ~ b0 )
& ( a0
| b0 )
& ~ a0 )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1033,plain,
( ( ~ ( ~ ~ b0
| ~ ~ ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
| ~ ~ a0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1032]) ).
thf(1034,plain,
( ( ~ ~ b0
| ~ ~ ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
| ~ ~ a0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1035,plain,
( ( ~ ~ b0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1036,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
| ~ ~ a0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1037,plain,
( ( ~ b0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1038,plain,
( ( ~ ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
| ~ ~ a0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1039,plain,
b0 = $false,
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1040,plain,
( ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
| ~ ~ a0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1041,plain,
( ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1042,plain,
( ( ~ ~ a0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1043,plain,
( ( ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1044,plain,
( ( ~ a0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1045,plain,
( ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1046,plain,
a0 = $false,
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1047,plain,
( ( ~ ( ~ a0
| ~ b0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1048,plain,
( ( ~ ( a0
| b0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1049,plain,
( ( ~ a0
| ~ b0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1050,plain,
( ( a0
| b0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1051,plain,
( ( ( ~ a0 )
= $true )
| ( ( ~ b0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1052,plain,
( ( a0 = $true )
| ( b0 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1053,plain,
( ( a0 = $false )
| ( ( ~ b0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1054,plain,
( ( b0 = $false )
| ( a0 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1055,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1039,1054,1052,1046]) ).
thf(1056,plain,
( ( a0
& b0
& ( ~ a0
| ~ b0 )
& ( a0
| b0 ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(1057,plain,
( ( ~ ( ~ ~ ( ~ a0
| ~ b0 )
| ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1056]) ).
thf(1058,plain,
( ( ~ ~ ( ~ a0
| ~ b0 )
| ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1059,plain,
( ( ~ ~ ( ~ a0
| ~ b0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1060,plain,
( ( ~ ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1061,plain,
( ( ~ ( ~ a0
| ~ b0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1062,plain,
( ( ~ ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1063,plain,
( ( ~ a0
| ~ b0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1064,plain,
( ( ~ ( ~ a0
| ~ b0 )
| ~ ( a0
| b0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1065,plain,
( ( ~ a0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1066,plain,
( ( ~ b0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1067,plain,
( ( ~ ( ~ a0
| ~ b0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1068,plain,
( ( ~ ( a0
| b0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1069,plain,
a0 = $true,
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1070,plain,
b0 = $true,
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1071,plain,
( ( ~ a0
| ~ b0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1072,plain,
( ( a0
| b0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1073,plain,
( ( ( ~ a0 )
= $true )
| ( ( ~ b0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1074,plain,
( ( a0 = $true )
| ( b0 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1075,plain,
( ( a0 = $false )
| ( ( ~ b0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1076,plain,
( ( b0 = $false )
| ( a0 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1077,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1069,1076,1074,1070]) ).
thf(1078,plain,
( ( ! [SY244: $i] :
( ~ ( q1 @ SY244 )
| ( p @ SY244 @ sK61_A ) )
& ( q1 @ sK61_A )
& ( q1 @ sK62_SY243 )
& ! [SY249: $i] :
( ~ ( r1 @ SY249 )
| ( p @ sK62_SY243 @ SY249 ) )
& ( r1 @ sK61_A )
& ( r1 @ sK62_SY243 )
& ( ~ ( s1 @ sK61_A )
| ! [X: $i,Y: $i] : ( p @ X @ Y ) )
& ( s1 @ sK61_A )
& ~ ( p @ sK61_A @ sK62_SY243 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(1079,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
| ~ ( s1 @ sK61_A ) )
| ~ ~ ( p @ sK61_A @ sK62_SY243 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1078]) ).
thf(1080,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
| ~ ( s1 @ sK61_A ) )
| ~ ~ ( p @ sK61_A @ sK62_SY243 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1081,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
| ~ ( s1 @ sK61_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1082,plain,
( ( ~ ~ ( p @ sK61_A @ sK62_SY243 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1083,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
| ~ ( s1 @ sK61_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1084,plain,
( ( ~ ( p @ sK61_A @ sK62_SY243 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1085,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
| ~ ( s1 @ sK61_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1086,plain,
( ( p @ sK61_A @ sK62_SY243 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1087,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1088,plain,
( ( ~ ( s1 @ sK61_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1089,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1090,plain,
( ( s1 @ sK61_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1091,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
| ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1092,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1093,plain,
( ( ~ ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1094,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1095,plain,
( ( ~ ( s1 @ sK61_A )
| ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1096,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
| ~ ( r1 @ sK62_SY243 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1097,plain,
( ( ( ~ ( s1 @ sK61_A ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1098,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1099,plain,
( ( ~ ( r1 @ sK62_SY243 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1100,plain,
( ( ( s1 @ sK61_A )
= $false )
| ( ( ! [SX0: $i,SX1: $i] : ( p @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1101,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1102,plain,
( ( r1 @ sK62_SY243 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1103,plain,
! [SV110: $i] :
( ( ( ! [SY295: $i] : ( p @ SV110 @ SY295 ) )
= $true )
| ( ( s1 @ sK61_A )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1104,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
| ~ ( r1 @ sK61_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1105,plain,
! [SV111: $i,SV110: $i] :
( ( ( p @ SV110 @ SV111 )
= $true )
| ( ( s1 @ sK61_A )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1106,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1107,plain,
( ( ~ ( r1 @ sK61_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1108,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1109,plain,
( ( r1 @ sK61_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1110,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1111,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1112,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1113,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1114,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ sK62_SY243 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1115,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
| ~ ( q1 @ sK62_SY243 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1116,plain,
! [SV112: $i] :
( ( ~ ( r1 @ SV112 )
| ( p @ sK62_SY243 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1117,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1118,plain,
( ( ~ ( q1 @ sK62_SY243 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1119,plain,
! [SV112: $i] :
( ( ( ~ ( r1 @ SV112 ) )
= $true )
| ( ( p @ sK62_SY243 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1120,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1121,plain,
( ( q1 @ sK62_SY243 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1122,plain,
! [SV112: $i] :
( ( ( r1 @ SV112 )
= $false )
| ( ( p @ sK62_SY243 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1123,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) )
| ~ ( q1 @ sK61_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1124,plain,
( ( ~ ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1125,plain,
( ( ~ ( q1 @ sK61_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1126,plain,
( ( ! [SX0: $i] :
( ~ ( q1 @ SX0 )
| ( p @ SX0 @ sK61_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1127,plain,
( ( q1 @ sK61_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1128,plain,
! [SV113: $i] :
( ( ~ ( q1 @ SV113 )
| ( p @ SV113 @ sK61_A ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1129,plain,
! [SV113: $i] :
( ( ( ~ ( q1 @ SV113 ) )
= $true )
| ( ( p @ SV113 @ sK61_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1130,plain,
! [SV113: $i] :
( ( ( q1 @ SV113 )
= $false )
| ( ( p @ SV113 @ sK61_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1131,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1086,1130,1127,1122,1121,1109,1105,1102,1090]) ).
thf(1132,plain,
( ( ( ( r1 @ sK63_B )
| ! [Y: $i] : ( p @ ( f @ Y ) @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ Y )
| ( p @ ( f @ Y ) @ Y ) )
& ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [X: $i,Y: $i] :
~ ( p @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( q @ X @ Y )
| ~ ( p @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(1133,plain,
( ( ~ ( ~ ~ ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) )
| ~ ~ ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1132]) ).
thf(1134,plain,
( ( ~ ~ ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) )
| ~ ~ ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1135,plain,
( ( ~ ~ ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1136,plain,
( ( ~ ~ ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1137,plain,
( ( ~ ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1138,plain,
( ( ~ ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1139,plain,
( ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1140,plain,
( ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1141,plain,
( ( ~ ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1142,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1143,plain,
( ( ~ ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1144,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1145,plain,
( ( ( r1 @ sK63_B )
| ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1146,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( p @ ( f @ SX0 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1147,plain,
( ( ( q @ ( f @ sK63_B ) @ sK63_B )
| ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1148,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( q @ SX0 @ SX1 )
| ~ ( p @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1149,plain,
( ( ( r1 @ sK63_B )
= $true )
| ( ( ! [SX0: $i] : ( p @ ( f @ SX0 ) @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1150,plain,
! [SV114: $i] :
( ( ~ ( r1 @ SV114 )
| ( p @ ( f @ SV114 ) @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1151,plain,
( ( ( q @ ( f @ sK63_B ) @ sK63_B )
= $true )
| ( ( ! [SX0: $i,SX1: $i] :
~ ( p @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1152,plain,
! [SV115: $i] :
( ( ! [SY296: $i] :
( ~ ( q @ SV115 @ SY296 )
| ~ ( p @ SV115 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1153,plain,
! [SV116: $i] :
( ( ( p @ ( f @ SV116 ) @ SV116 )
= $true )
| ( ( r1 @ sK63_B )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1154,plain,
! [SV114: $i] :
( ( ( ~ ( r1 @ SV114 ) )
= $true )
| ( ( p @ ( f @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1155,plain,
! [SV117: $i] :
( ( ( ! [SY297: $i] :
~ ( p @ SV117 @ SY297 ) )
= $true )
| ( ( q @ ( f @ sK63_B ) @ sK63_B )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1156,plain,
! [SV118: $i,SV115: $i] :
( ( ~ ( q @ SV115 @ SV118 )
| ~ ( p @ SV115 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1157,plain,
! [SV114: $i] :
( ( ( r1 @ SV114 )
= $false )
| ( ( p @ ( f @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1158,plain,
! [SV119: $i,SV117: $i] :
( ( ( ~ ( p @ SV117 @ SV119 ) )
= $true )
| ( ( q @ ( f @ sK63_B ) @ sK63_B )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1159,plain,
! [SV118: $i,SV115: $i] :
( ( ( ~ ( q @ SV115 @ SV118 ) )
= $true )
| ( ( ~ ( p @ SV115 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1160,plain,
! [SV119: $i,SV117: $i] :
( ( ( p @ SV117 @ SV119 )
= $false )
| ( ( q @ ( f @ sK63_B ) @ sK63_B )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1161,plain,
! [SV118: $i,SV115: $i] :
( ( ( q @ SV115 @ SV118 )
= $false )
| ( ( ~ ( p @ SV115 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1162,plain,
! [SV118: $i,SV115: $i] :
( ( ( p @ SV115 @ SV118 )
= $false )
| ( ( q @ SV115 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1153,1162,1160,1157]) ).
thf(1164,plain,
( ( ! [X: $i] :
( ~ ( p1 @ X )
| ( q1 @ X ) )
& ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) )
& ! [Z: $i] : ( p1 @ Z )
& ! [Z: $i] :
~ ( r1 @ Z ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(1165,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) )
| ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1164]) ).
thf(1166,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) )
| ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1167,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1168,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1169,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1170,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1171,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) )
| ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1172,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 )
| ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1173,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1171]) ).
thf(1174,plain,
( ( ~ ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1171]) ).
thf(1175,plain,
( ( ~ ! [SX0: $i] : ( p1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1176,plain,
( ( ~ ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1177,plain,
( ( ! [SX0: $i] :
( ~ ( p1 @ SX0 )
| ( q1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1178,plain,
( ( ~ ( q1 @ sK65_Y )
| ( r1 @ sK64_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1179,plain,
( ( ! [SX0: $i] : ( p1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1180,plain,
( ( ! [SX0: $i] :
~ ( r1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1181,plain,
! [SV120: $i] :
( ( ~ ( p1 @ SV120 )
| ( q1 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1182,plain,
( ( ( ~ ( q1 @ sK65_Y ) )
= $true )
| ( ( r1 @ sK64_Y )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1178]) ).
thf(1183,plain,
! [SV121: $i] :
( ( p1 @ SV121 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1184,plain,
! [SV122: $i] :
( ( ~ ( r1 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1185,plain,
! [SV120: $i] :
( ( ( ~ ( p1 @ SV120 ) )
= $true )
| ( ( q1 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1186,plain,
( ( ( q1 @ sK65_Y )
= $false )
| ( ( r1 @ sK64_Y )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1187,plain,
! [SV122: $i] :
( ( r1 @ SV122 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1188,plain,
! [SV120: $i] :
( ( ( p1 @ SV120 )
= $false )
| ( ( q1 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1189,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1183,1188,1187,1186]) ).
thf(1190,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1189,189,226,262,289,341,381,393,415,437,453,493,530,552,563,581,618,636,654,668,686,703,714,725,737,749,759,769,779,828,874,911,921,946,964,974,985,988,998,1009,1031,1055,1077,1131,1163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.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 : Mon Jul 11 21:12:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.95/1.12 .
% 0.95/1.12
% 0.95/1.12 No.of.Axioms: 0
% 0.95/1.12
% 0.95/1.12 Length.of.Defs: 0
% 0.95/1.12
% 0.95/1.12 Contains.Choice.Funs: false
% 1.58/1.77 .
% 1.58/1.77 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)...............................................................................
% 4.40/4.63
% 4.40/4.63 ********************************
% 4.40/4.63 * All subproblems solved! *
% 4.40/4.63 ********************************
% 4.40/4.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:71,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1189,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.64/4.86
% 4.64/4.86 %**** Beginning of derivation protocol ****
% 4.64/4.86 % SZS output start CNFRefutation
% See solution above
% 4.64/4.87
% 4.64/4.87 %**** End of derivation protocol ****
% 4.64/4.87 %**** no. of clauses in derivation: 1190 ****
% 4.64/4.87 %**** clause counter: 1189 ****
% 4.64/4.87
% 4.64/4.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:71,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1189,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------