%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL684+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 11:31:14 EDT 2023
% Result : Theorem 43.81s 7.76s
% Output : Refutation 43.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 34
% Syntax : Number of formulae : 39 ( 3 unt; 31 typ; 0 def)
% Number of atoms : 957 ( 0 equ; 0 cnn)
% Maximal formula atoms : 316 ( 119 avg)
% Number of connectives : 3196 ( 875 ~; 705 |; 242 &;1372 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 37 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 31 usr; 1 con; 0-2 aty)
% Number of variables : 419 ( 0 ^; 416 !; 3 ?; 419 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p605_type,type,
p605: $i > $o ).
thf(p505_type,type,
p505: $i > $o ).
thf(p405_type,type,
p405: $i > $o ).
thf(p305_type,type,
p305: $i > $o ).
thf(p205_type,type,
p205: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(p604_type,type,
p604: $i > $o ).
thf(p504_type,type,
p504: $i > $o ).
thf(p404_type,type,
p404: $i > $o ).
thf(p304_type,type,
p304: $i > $o ).
thf(p204_type,type,
p204: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(p603_type,type,
p603: $i > $o ).
thf(p503_type,type,
p503: $i > $o ).
thf(p403_type,type,
p403: $i > $o ).
thf(p303_type,type,
p303: $i > $o ).
thf(p203_type,type,
p203: $i > $o ).
thf(p103_type,type,
p103: $i > $o ).
thf(p602_type,type,
p602: $i > $o ).
thf(p502_type,type,
p502: $i > $o ).
thf(p402_type,type,
p402: $i > $o ).
thf(p302_type,type,
p302: $i > $o ).
thf(p202_type,type,
p202: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p601_type,type,
p601: $i > $o ).
thf(p501_type,type,
p501: $i > $o ).
thf(p401_type,type,
p401: $i > $o ).
thf(p301_type,type,
p301: $i > $o ).
thf(p201_type,type,
p201: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ( p505 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p504 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p503 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p502 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p202 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p501 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p201 @ C )
& ( p101 @ C ) ) ) ) )
| ~ ( ( ( p605 @ A )
| ( p604 @ A )
| ( p603 @ A )
| ( p602 @ A )
| ( p601 @ A ) )
& ( ( p505 @ A )
| ( p504 @ A )
| ( p503 @ A )
| ( p502 @ A )
| ( p501 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p405 @ B ) )
| ( p404 @ A )
| ( p403 @ A )
| ( p402 @ A )
| ( p401 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p305 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p304 @ B ) )
| ( p303 @ A )
| ( p302 @ A )
| ( p301 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p205 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p204 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p203 @ B ) )
| ( p202 @ A )
| ( p201 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p105 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p104 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p103 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p102 @ B ) )
| ( p101 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ( p505 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p504 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p503 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p502 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p202 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p501 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p201 @ C )
& ( p101 @ C ) ) ) ) )
| ~ ( ( ( p605 @ A )
| ( p604 @ A )
| ( p603 @ A )
| ( p602 @ A )
| ( p601 @ A ) )
& ( ( p505 @ A )
| ( p504 @ A )
| ( p503 @ A )
| ( p502 @ A )
| ( p501 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p405 @ B ) )
| ( p404 @ A )
| ( p403 @ A )
| ( p402 @ A )
| ( p401 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p305 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p304 @ B ) )
| ( p303 @ A )
| ( p302 @ A )
| ( p301 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p205 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p204 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p203 @ B ) )
| ( p202 @ A )
| ( p201 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p105 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p104 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p103 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p102 @ B ) )
| ( p101 @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ( p505 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p605 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p505 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p405 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p305 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p205 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p105 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p504 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ( p404 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p604 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p504 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p404 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p304 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p204 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p104 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p503 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p403 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ( p303 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p603 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p503 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p403 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p303 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p203 @ D ) )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p103 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p502 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p402 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p302 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ( p202 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p602 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p502 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p402 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p302 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p202 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p102 @ D ) ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p501 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p401 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p301 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p201 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p601 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p501 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p401 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p301 @ C )
& ( p101 @ C ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p201 @ C )
& ( p101 @ C ) ) ) ) )
| ~ ( ( ( p605 @ A )
| ( p604 @ A )
| ( p603 @ A )
| ( p602 @ A )
| ( p601 @ A ) )
& ( ( p505 @ A )
| ( p504 @ A )
| ( p503 @ A )
| ( p502 @ A )
| ( p501 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p405 @ B ) )
| ( p404 @ A )
| ( p403 @ A )
| ( p402 @ A )
| ( p401 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p305 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p304 @ B ) )
| ( p303 @ A )
| ( p302 @ A )
| ( p301 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p205 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p204 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p203 @ B ) )
| ( p202 @ A )
| ( p201 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p105 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p104 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p103 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p102 @ B ) )
| ( p101 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(287,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r1 @ A @ B )
& ( r1 @ B @ C ) )
=> ( r1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(289,plain,
! [A: $i,B: $i,C: $i] :
( ( ( r1 @ A @ B )
& ( r1 @ B @ C ) )
=> ( r1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13304,plain,
$false,
inference(cvc4,[status(thm)],[5,287,289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL684+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n019.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 15:48:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 1.00/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.05 % [INFO] Parsing done (163ms).
% 1.42/1.06 % [INFO] Running in sequential loop mode.
% 1.92/1.25 % [INFO] eprover registered as external prover.
% 1.92/1.25 % [INFO] cvc4 registered as external prover.
% 1.92/1.25 % [INFO] Scanning for conjecture ...
% 2.33/1.45 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 2.58/1.51 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.58/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.73/1.52 % [INFO] Type checking passed.
% 2.73/1.53 % [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 ...
% 43.81/7.76 % External prover 'cvc4' found a proof!
% 43.81/7.76 % [INFO] Killing All external provers ...
% 43.81/7.76 % Time passed: 7251ms (effective reasoning time: 6702ms)
% 43.81/7.76 % 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)>
% 43.81/7.76 % Axioms used in derivation (2): reflexivity, transitivity
% 43.81/7.76 % No. of inferences in proof: 8
% 43.81/7.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7251 ms resp. 6702 ms w/o parsing
% 43.81/7.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 43.81/7.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------