%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL648+1.005 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 : Tue May 21 00:06:46 EDT 2024
% Result : Theorem 4.90s 2.45s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 32
% Syntax : Number of formulae : 35 ( 1 unt; 31 typ; 0 def)
% Number of atoms : 727 ( 0 equ; 0 cnn)
% Maximal formula atoms : 242 ( 181 avg)
% Number of connectives : 1838 ( 203 ~; 483 |; 240 &; 912 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 86 ( 65 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 : 189 ( 0 ^ 186 !; 3 ?; 189 :)
% 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 )
| ~ ( ( ( p605 @ B )
& ( p505 @ B ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p604 @ B )
& ( p504 @ B ) )
| ( ( p604 @ B )
& ( p404 @ B ) )
| ( ( p504 @ B )
& ( p404 @ B ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p603 @ B )
& ( p503 @ B ) )
| ( ( p603 @ B )
& ( p403 @ B ) )
| ( ( p503 @ B )
& ( p403 @ B ) )
| ( ( p603 @ B )
& ( p303 @ B ) )
| ( ( p503 @ B )
& ( p303 @ B ) )
| ( ( p403 @ B )
& ( p303 @ B ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p602 @ B )
& ( p502 @ B ) )
| ( ( p602 @ B )
& ( p402 @ B ) )
| ( ( p502 @ B )
& ( p402 @ B ) )
| ( ( p602 @ B )
& ( p302 @ B ) )
| ( ( p502 @ B )
& ( p302 @ B ) )
| ( ( p402 @ B )
& ( p302 @ B ) )
| ( ( p602 @ B )
& ( p202 @ B ) )
| ( ( p502 @ B )
& ( p202 @ B ) )
| ( ( p402 @ B )
& ( p202 @ B ) )
| ( ( p302 @ B )
& ( p202 @ B ) )
| ( ( p602 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p502 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p402 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p302 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p202 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p601 @ B )
& ( p501 @ B ) )
| ( ( p601 @ B )
& ( p401 @ B ) )
| ( ( p501 @ B )
& ( p401 @ B ) )
| ( ( p601 @ B )
& ( p301 @ B ) )
| ( ( p501 @ B )
& ( p301 @ B ) )
| ( ( p401 @ B )
& ( p301 @ B ) )
| ( ( p601 @ B )
& ( p201 @ B ) )
| ( ( p501 @ B )
& ( p201 @ B ) )
| ( ( p401 @ B )
& ( p201 @ B ) )
| ( ( p301 @ B )
& ( p201 @ B ) )
| ( ( p601 @ B )
& ( p101 @ B ) )
| ( ( p501 @ B )
& ( p101 @ B ) )
| ( ( p401 @ B )
& ( p101 @ B ) )
| ( ( p301 @ B )
& ( p101 @ B ) )
| ( ( p201 @ B )
& ( p101 @ B ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( ( p605 @ B )
| ( p604 @ B )
| ( p603 @ B )
| ( p602 @ B )
| ( p601 @ B ) )
& ( ( p505 @ B )
| ( p504 @ B )
| ( p503 @ B )
| ( p502 @ B )
| ( p501 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
| ( p404 @ B )
| ( p403 @ B )
| ( p402 @ B )
| ( p401 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
| ( p303 @ B )
| ( p302 @ B )
| ( p301 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
| ( p202 @ B )
| ( p201 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) )
| ( p101 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( ( p605 @ B )
& ( p505 @ B ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p604 @ B )
& ( p504 @ B ) )
| ( ( p604 @ B )
& ( p404 @ B ) )
| ( ( p504 @ B )
& ( p404 @ B ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p603 @ B )
& ( p503 @ B ) )
| ( ( p603 @ B )
& ( p403 @ B ) )
| ( ( p503 @ B )
& ( p403 @ B ) )
| ( ( p603 @ B )
& ( p303 @ B ) )
| ( ( p503 @ B )
& ( p303 @ B ) )
| ( ( p403 @ B )
& ( p303 @ B ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p602 @ B )
& ( p502 @ B ) )
| ( ( p602 @ B )
& ( p402 @ B ) )
| ( ( p502 @ B )
& ( p402 @ B ) )
| ( ( p602 @ B )
& ( p302 @ B ) )
| ( ( p502 @ B )
& ( p302 @ B ) )
| ( ( p402 @ B )
& ( p302 @ B ) )
| ( ( p602 @ B )
& ( p202 @ B ) )
| ( ( p502 @ B )
& ( p202 @ B ) )
| ( ( p402 @ B )
& ( p202 @ B ) )
| ( ( p302 @ B )
& ( p202 @ B ) )
| ( ( p602 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p502 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p402 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p302 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p202 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p601 @ B )
& ( p501 @ B ) )
| ( ( p601 @ B )
& ( p401 @ B ) )
| ( ( p501 @ B )
& ( p401 @ B ) )
| ( ( p601 @ B )
& ( p301 @ B ) )
| ( ( p501 @ B )
& ( p301 @ B ) )
| ( ( p401 @ B )
& ( p301 @ B ) )
| ( ( p601 @ B )
& ( p201 @ B ) )
| ( ( p501 @ B )
& ( p201 @ B ) )
| ( ( p401 @ B )
& ( p201 @ B ) )
| ( ( p301 @ B )
& ( p201 @ B ) )
| ( ( p601 @ B )
& ( p101 @ B ) )
| ( ( p501 @ B )
& ( p101 @ B ) )
| ( ( p401 @ B )
& ( p101 @ B ) )
| ( ( p301 @ B )
& ( p101 @ B ) )
| ( ( p201 @ B )
& ( p101 @ B ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( ( p605 @ B )
| ( p604 @ B )
| ( p603 @ B )
| ( p602 @ B )
| ( p601 @ B ) )
& ( ( p505 @ B )
| ( p504 @ B )
| ( p503 @ B )
| ( p502 @ B )
| ( p501 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
| ( p404 @ B )
| ( p403 @ B )
| ( p402 @ B )
| ( p401 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
| ( p303 @ B )
| ( p302 @ B )
| ( p301 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
| ( p202 @ B )
| ( p201 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) )
| ( p101 @ B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( ( p605 @ B )
& ( p505 @ B ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) ) )
| ( ( p605 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p505 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) ) )
| ( ( p604 @ B )
& ( p504 @ B ) )
| ( ( p604 @ B )
& ( p404 @ B ) )
| ( ( p504 @ B )
& ( p404 @ B ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) ) )
| ( ( p604 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p504 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p404 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) ) )
| ( ( p603 @ B )
& ( p503 @ B ) )
| ( ( p603 @ B )
& ( p403 @ B ) )
| ( ( p503 @ B )
& ( p403 @ B ) )
| ( ( p603 @ B )
& ( p303 @ B ) )
| ( ( p503 @ B )
& ( p303 @ B ) )
| ( ( p403 @ B )
& ( p303 @ B ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) ) )
| ( ( p603 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p503 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p403 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p303 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) ) )
| ( ( p602 @ B )
& ( p502 @ B ) )
| ( ( p602 @ B )
& ( p402 @ B ) )
| ( ( p502 @ B )
& ( p402 @ B ) )
| ( ( p602 @ B )
& ( p302 @ B ) )
| ( ( p502 @ B )
& ( p302 @ B ) )
| ( ( p402 @ B )
& ( p302 @ B ) )
| ( ( p602 @ B )
& ( p202 @ B ) )
| ( ( p502 @ B )
& ( p202 @ B ) )
| ( ( p402 @ B )
& ( p202 @ B ) )
| ( ( p302 @ B )
& ( p202 @ B ) )
| ( ( p602 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p502 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p402 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p302 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p202 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) ) )
| ( ( p601 @ B )
& ( p501 @ B ) )
| ( ( p601 @ B )
& ( p401 @ B ) )
| ( ( p501 @ B )
& ( p401 @ B ) )
| ( ( p601 @ B )
& ( p301 @ B ) )
| ( ( p501 @ B )
& ( p301 @ B ) )
| ( ( p401 @ B )
& ( p301 @ B ) )
| ( ( p601 @ B )
& ( p201 @ B ) )
| ( ( p501 @ B )
& ( p201 @ B ) )
| ( ( p401 @ B )
& ( p201 @ B ) )
| ( ( p301 @ B )
& ( p201 @ B ) )
| ( ( p601 @ B )
& ( p101 @ B ) )
| ( ( p501 @ B )
& ( p101 @ B ) )
| ( ( p401 @ B )
& ( p101 @ B ) )
| ( ( p301 @ B )
& ( p101 @ B ) )
| ( ( p201 @ B )
& ( p101 @ B ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( ( p605 @ B )
| ( p604 @ B )
| ( p603 @ B )
| ( p602 @ B )
| ( p601 @ B ) )
& ( ( p505 @ B )
| ( p504 @ B )
| ( p503 @ B )
| ( p502 @ B )
| ( p501 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p405 @ C ) )
| ( p404 @ B )
| ( p403 @ B )
| ( p402 @ B )
| ( p401 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p305 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p304 @ C ) )
| ( p303 @ B )
| ( p302 @ B )
| ( p301 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p205 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p204 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p203 @ C ) )
| ( p202 @ B )
| ( p201 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p105 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p104 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p103 @ C ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p102 @ C ) )
| ( p101 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(154,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL648+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 01:28:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.89/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/1.00 % [INFO] Parsing done (141ms).
% 1.17/1.01 % [INFO] Running in sequential loop mode.
% 1.79/1.25 % [INFO] eprover registered as external prover.
% 1.79/1.25 % [INFO] cvc4 registered as external prover.
% 1.79/1.26 % [INFO] Scanning for conjecture ...
% 2.08/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.30/1.48 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.30/1.48 % [INFO] Problem is first-order (TPTP FOF).
% 2.30/1.49 % [INFO] Type checking passed.
% 2.30/1.49 % [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 ...
% 4.90/2.44 % External prover 'cvc4' found a proof!
% 4.90/2.44 % [INFO] Killing All external provers ...
% 4.90/2.45 % Time passed: 1927ms (effective reasoning time: 1429ms)
% 4.90/2.45 % 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)>
% 4.90/2.45 % Axioms used in derivation (0):
% 4.90/2.45 % No. of inferences in proof: 4
% 4.90/2.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1927 ms resp. 1429 ms w/o parsing
% 5.32/2.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.32/2.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------