TSTP Solution File: SYN462+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN462+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : 300s
% DateTime : Fri May 19 12:28:52 EDT 2023
% Result : Theorem 6.79s 2.77s
% Output : Refutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 68
% Syntax : Number of formulae : 71 ( 1 unt; 67 typ; 0 def)
% Number of atoms : 1780 ( 0 equ; 0 cnn)
% Maximal formula atoms : 593 ( 445 avg)
% Number of connectives : 3485 ( 647 ~; 966 |; 549 &;1062 @)
% ( 0 <=>; 261 =>; 0 <=; 0 <~>)
% Maximal formula depth : 95 ( 71 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 67 usr; 64 con; 0-1 aty)
% Number of variables : 261 ( 0 ^; 261 !; 0 ?; 261 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp0_type,type,
hskp0: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a267_type,type,
a267: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(a268_type,type,
a268: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a269_type,type,
a269: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a270_type,type,
a270: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a271_type,type,
a271: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a272_type,type,
a272: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a273_type,type,
a273: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a274_type,type,
a274: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a275_type,type,
a275: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a280_type,type,
a280: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a281_type,type,
a281: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a282_type,type,
a282: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a284_type,type,
a284: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a286_type,type,
a286: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a287_type,type,
a287: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a291_type,type,
a291: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a293_type,type,
a293: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a295_type,type,
a295: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a298_type,type,
a298: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a303_type,type,
a303: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a305_type,type,
a305: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a307_type,type,
a307: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a311_type,type,
a311: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a313_type,type,
a313: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a318_type,type,
a318: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a352_type,type,
a352: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a356_type,type,
a356: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a276_type,type,
a276: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a278_type,type,
a278: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a304_type,type,
a304: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a337_type,type,
a337: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a267 )
& ~ ( c2_1 @ a267 )
& ~ ( c3_1 @ a267 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a268 )
& ~ ( c1_1 @ a268 )
& ~ ( c2_1 @ a268 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a269 )
& ~ ( c1_1 @ a269 )
& ~ ( c2_1 @ a269 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a270 )
& ( c3_1 @ a270 )
& ~ ( c2_1 @ a270 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c0_1 @ a271 )
& ~ ( c1_1 @ a271 )
& ~ ( c3_1 @ a271 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a272 )
& ~ ( c1_1 @ a272 )
& ~ ( c3_1 @ a272 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a273 )
& ( c2_1 @ a273 )
& ~ ( c0_1 @ a273 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a274 )
& ( c1_1 @ a274 )
& ~ ( c3_1 @ a274 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a275 )
& ~ ( c2_1 @ a275 )
& ~ ( c3_1 @ a275 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c2_1 @ a280 )
& ( c3_1 @ a280 )
& ~ ( c1_1 @ a280 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c3_1 @ a281 )
& ~ ( c0_1 @ a281 )
& ~ ( c2_1 @ a281 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a282 )
& ~ ( c0_1 @ a282 )
& ~ ( c1_1 @ a282 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a284 )
& ~ ( c0_1 @ a284 )
& ~ ( c3_1 @ a284 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c1_1 @ a286 )
& ( c3_1 @ a286 )
& ~ ( c0_1 @ a286 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c1_1 @ a287 )
& ~ ( c0_1 @ a287 )
& ~ ( c2_1 @ a287 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c2_1 @ a291 )
& ( c3_1 @ a291 )
& ~ ( c0_1 @ a291 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a293 )
& ( c1_1 @ a293 )
& ~ ( c2_1 @ a293 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a295 )
& ~ ( c0_1 @ a295 )
& ~ ( c1_1 @ a295 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a298 )
& ( c3_1 @ a298 )
& ~ ( c2_1 @ a298 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a303 )
& ( c2_1 @ a303 )
& ~ ( c3_1 @ a303 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a305 )
& ~ ( c0_1 @ a305 )
& ~ ( c3_1 @ a305 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a307 )
& ( c2_1 @ a307 )
& ~ ( c1_1 @ a307 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a311 )
& ( c2_1 @ a311 )
& ~ ( c3_1 @ a311 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c1_1 @ a313 )
& ~ ( c2_1 @ a313 )
& ~ ( c3_1 @ a313 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c2_1 @ a318 )
& ~ ( c1_1 @ a318 )
& ~ ( c3_1 @ a318 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a352 )
& ~ ( c2_1 @ a352 )
& ~ ( c3_1 @ a352 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a356 )
& ~ ( c1_1 @ a356 )
& ~ ( c2_1 @ a356 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a276 )
& ( c2_1 @ a276 )
& ( c3_1 @ a276 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a278 )
& ( c1_1 @ a278 )
& ( c3_1 @ a278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a304 )
& ( c1_1 @ a304 )
& ( c2_1 @ a304 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a337 )
& ( c2_1 @ a337 )
& ( c3_1 @ a337 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp0
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp15
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp27
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp22
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp20 )
& ( hskp29
| hskp22
| hskp11 )
& ( hskp29
| hskp9
| hskp11 )
& ( hskp16
| hskp7
| hskp18 )
& ( hskp16
| hskp30
| hskp5 )
& ( hskp30
| hskp14
| hskp17 )
& ( hskp21
| hskp10
| hskp23 )
& ( hskp22
| hskp6
| hskp9 )
& ( hskp0
| hskp19
| hskp9 )
& ( hskp14
| hskp25
| hskp12 )
& ( hskp12
| hskp1
| hskp26 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a267 )
& ~ ( c2_1 @ a267 )
& ~ ( c3_1 @ a267 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a268 )
& ~ ( c1_1 @ a268 )
& ~ ( c2_1 @ a268 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a269 )
& ~ ( c1_1 @ a269 )
& ~ ( c2_1 @ a269 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a270 )
& ( c3_1 @ a270 )
& ~ ( c2_1 @ a270 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c0_1 @ a271 )
& ~ ( c1_1 @ a271 )
& ~ ( c3_1 @ a271 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a272 )
& ~ ( c1_1 @ a272 )
& ~ ( c3_1 @ a272 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a273 )
& ( c2_1 @ a273 )
& ~ ( c0_1 @ a273 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a274 )
& ( c1_1 @ a274 )
& ~ ( c3_1 @ a274 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a275 )
& ~ ( c2_1 @ a275 )
& ~ ( c3_1 @ a275 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c2_1 @ a280 )
& ( c3_1 @ a280 )
& ~ ( c1_1 @ a280 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c3_1 @ a281 )
& ~ ( c0_1 @ a281 )
& ~ ( c2_1 @ a281 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a282 )
& ~ ( c0_1 @ a282 )
& ~ ( c1_1 @ a282 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a284 )
& ~ ( c0_1 @ a284 )
& ~ ( c3_1 @ a284 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c1_1 @ a286 )
& ( c3_1 @ a286 )
& ~ ( c0_1 @ a286 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c1_1 @ a287 )
& ~ ( c0_1 @ a287 )
& ~ ( c2_1 @ a287 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c2_1 @ a291 )
& ( c3_1 @ a291 )
& ~ ( c0_1 @ a291 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a293 )
& ( c1_1 @ a293 )
& ~ ( c2_1 @ a293 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a295 )
& ~ ( c0_1 @ a295 )
& ~ ( c1_1 @ a295 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a298 )
& ( c3_1 @ a298 )
& ~ ( c2_1 @ a298 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a303 )
& ( c2_1 @ a303 )
& ~ ( c3_1 @ a303 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a305 )
& ~ ( c0_1 @ a305 )
& ~ ( c3_1 @ a305 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a307 )
& ( c2_1 @ a307 )
& ~ ( c1_1 @ a307 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a311 )
& ( c2_1 @ a311 )
& ~ ( c3_1 @ a311 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c1_1 @ a313 )
& ~ ( c2_1 @ a313 )
& ~ ( c3_1 @ a313 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c2_1 @ a318 )
& ~ ( c1_1 @ a318 )
& ~ ( c3_1 @ a318 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a352 )
& ~ ( c2_1 @ a352 )
& ~ ( c3_1 @ a352 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a356 )
& ~ ( c1_1 @ a356 )
& ~ ( c2_1 @ a356 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a276 )
& ( c2_1 @ a276 )
& ( c3_1 @ a276 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a278 )
& ( c1_1 @ a278 )
& ( c3_1 @ a278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a304 )
& ( c1_1 @ a304 )
& ( c2_1 @ a304 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a337 )
& ( c2_1 @ a337 )
& ( c3_1 @ a337 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp0
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp15
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp27
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp22
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp20 )
& ( hskp29
| hskp22
| hskp11 )
& ( hskp29
| hskp9
| hskp11 )
& ( hskp16
| hskp7
| hskp18 )
& ( hskp16
| hskp30
| hskp5 )
& ( hskp30
| hskp14
| hskp17 )
& ( hskp21
| hskp10
| hskp23 )
& ( hskp22
| hskp6
| hskp9 )
& ( hskp0
| hskp19
| hskp9 )
& ( hskp14
| hskp25
| hskp12 )
& ( hskp12
| hskp1
| hskp26 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a267 )
& ~ ( c2_1 @ a267 )
& ~ ( c3_1 @ a267 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a268 )
& ~ ( c1_1 @ a268 )
& ~ ( c2_1 @ a268 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a269 )
& ~ ( c1_1 @ a269 )
& ~ ( c2_1 @ a269 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a270 )
& ( c3_1 @ a270 )
& ~ ( c2_1 @ a270 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c0_1 @ a271 )
& ~ ( c1_1 @ a271 )
& ~ ( c3_1 @ a271 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a272 )
& ~ ( c1_1 @ a272 )
& ~ ( c3_1 @ a272 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a273 )
& ( c2_1 @ a273 )
& ~ ( c0_1 @ a273 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a274 )
& ( c1_1 @ a274 )
& ~ ( c3_1 @ a274 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a275 )
& ~ ( c2_1 @ a275 )
& ~ ( c3_1 @ a275 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c2_1 @ a280 )
& ( c3_1 @ a280 )
& ~ ( c1_1 @ a280 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c3_1 @ a281 )
& ~ ( c0_1 @ a281 )
& ~ ( c2_1 @ a281 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a282 )
& ~ ( c0_1 @ a282 )
& ~ ( c1_1 @ a282 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a284 )
& ~ ( c0_1 @ a284 )
& ~ ( c3_1 @ a284 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c1_1 @ a286 )
& ( c3_1 @ a286 )
& ~ ( c0_1 @ a286 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c1_1 @ a287 )
& ~ ( c0_1 @ a287 )
& ~ ( c2_1 @ a287 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c2_1 @ a291 )
& ( c3_1 @ a291 )
& ~ ( c0_1 @ a291 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a293 )
& ( c1_1 @ a293 )
& ~ ( c2_1 @ a293 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a295 )
& ~ ( c0_1 @ a295 )
& ~ ( c1_1 @ a295 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a298 )
& ( c3_1 @ a298 )
& ~ ( c2_1 @ a298 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a303 )
& ( c2_1 @ a303 )
& ~ ( c3_1 @ a303 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a305 )
& ~ ( c0_1 @ a305 )
& ~ ( c3_1 @ a305 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a307 )
& ( c2_1 @ a307 )
& ~ ( c1_1 @ a307 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a311 )
& ( c2_1 @ a311 )
& ~ ( c3_1 @ a311 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c1_1 @ a313 )
& ~ ( c2_1 @ a313 )
& ~ ( c3_1 @ a313 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c2_1 @ a318 )
& ~ ( c1_1 @ a318 )
& ~ ( c3_1 @ a318 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a352 )
& ~ ( c2_1 @ a352 )
& ~ ( c3_1 @ a352 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a356 )
& ~ ( c1_1 @ a356 )
& ~ ( c2_1 @ a356 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a276 )
& ( c2_1 @ a276 )
& ( c3_1 @ a276 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a278 )
& ( c1_1 @ a278 )
& ( c3_1 @ a278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a304 )
& ( c1_1 @ a304 )
& ( c2_1 @ a304 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a337 )
& ( c2_1 @ a337 )
& ( c3_1 @ a337 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp0
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp15
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp27
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp22
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp21
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp20 )
& ( hskp29
| hskp22
| hskp11 )
& ( hskp29
| hskp9
| hskp11 )
& ( hskp16
| hskp7
| hskp18 )
& ( hskp16
| hskp30
| hskp5 )
& ( hskp30
| hskp14
| hskp17 )
& ( hskp21
| hskp10
| hskp23 )
& ( hskp22
| hskp6
| hskp9 )
& ( hskp0
| hskp19
| hskp9 )
& ( hskp14
| hskp25
| hskp12 )
& ( hskp12
| hskp1
| hskp26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(262,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN462+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:37:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.87/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/1.01 % [INFO] Parsing done (153ms).
% 1.16/1.01 % [INFO] Running in sequential loop mode.
% 1.86/1.20 % [INFO] eprover registered as external prover.
% 1.86/1.21 % [INFO] cvc4 registered as external prover.
% 1.86/1.21 % [INFO] Scanning for conjecture ...
% 2.43/1.43 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.63/1.50 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.63/1.50 % [INFO] Problem is first-order (TPTP FOF).
% 2.63/1.51 % [INFO] Type checking passed.
% 2.63/1.51 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.79/2.77 % External prover 'cvc4' found a proof!
% 6.79/2.77 % [INFO] Killing All external provers ...
% 6.79/2.77 % Time passed: 2242ms (effective reasoning time: 1751ms)
% 6.79/2.77 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.79/2.77 % Axioms used in derivation (0):
% 6.79/2.77 % No. of inferences in proof: 4
% 6.79/2.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2242 ms resp. 1751 ms w/o parsing
% 7.27/2.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.27/2.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------