TSTP Solution File: LCL656+1.005 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 Aug 22 10:48:38 EDT 2023
% Result : Theorem 11.55s 3.87s
% Output : CNFRefutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of formulae : 64 ( 8 unt; 25 typ; 0 def)
% Number of atoms : 351 ( 0 equ)
% Maximal formula atoms : 129 ( 9 avg)
% Number of connectives : 618 ( 306 ~; 258 |; 54 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 24 >; 41 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-5 aty)
% Number of variables : 169 (; 168 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p6 > p5 > p4 > p3 > p2 > p106 > p105 > p104 > p103 > p102 > p101 > p100 > p1 > #nlpp > #skF_2 > #skF_4 > #skF_6 > #skF_5 > #skF_8 > #skF_11 > #skF_7 > #skF_1 > #skF_10 > #skF_3 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p3,type,
p3: $i > $o ).
tff(p106,type,
p106: $i > $o ).
tff(p101,type,
p101: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i ) > $i ).
tff(p102,type,
p102: $i > $o ).
tff(p100,type,
p100: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff(p103,type,
p103: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i ) > $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i * $i ) > $i ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(p105,type,
p105: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i ) > $i ).
tff(p104,type,
p104: $i > $o ).
tff(p1,type,
p1: $i > $o ).
tff(f_29,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
tff(f_438,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) ) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) ) ) ) ) )
& ~ p101(X)
& p100(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
tff(c_2,plain,
! [X_1] : r1(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
~ p101('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_4,plain,
p100('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_46,plain,
! [Y_1489,Y_799,Y_1351,X_1167,X_1443] :
( p101('#skF_11'(Y_799,X_1443,Y_1351,Y_1489,X_1167))
| ~ p100(Y_1489)
| p101(Y_1489)
| ~ r1(X_1443,Y_1489)
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_52,plain,
! [Y_1489,Y_799,Y_1351,X_1167,X_1443] :
( r1(Y_1489,'#skF_11'(Y_799,X_1443,Y_1351,Y_1489,X_1167))
| ~ p100(Y_1489)
| p101(Y_1489)
| ~ r1(X_1443,Y_1489)
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_362,plain,
! [Y_1846,X_1847,Y_1848,Y_1849,X_1850] :
( r1(Y_1849,'#skF_8'(Y_1846,X_1847,Y_1848,Y_1849,X_1850))
| ~ p101(Y_1849)
| p102(Y_1849)
| ~ r1(X_1847,Y_1849)
| ~ r1(Y_1848,X_1847)
| ~ r1(X_1850,Y_1848)
| ~ r1(Y_1846,X_1850)
| ~ r1('#skF_1',Y_1846) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_126,plain,
! [X_1525,Y_1527,Y_1529,Y_1526,X_1528] :
( p3(Y_1527)
| ~ r1(X_1528,Y_1527)
| ~ r1(Y_1526,X_1528)
| ~ r1(X_1525,Y_1526)
| ~ r1(Y_1529,X_1525)
| ~ r1('#skF_1',Y_1529) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_130,plain,
! [X_1530,Y_1531,X_1532,Y_1533] :
( p3(X_1530)
| ~ r1(Y_1531,X_1530)
| ~ r1(X_1532,Y_1531)
| ~ r1(Y_1533,X_1532)
| ~ r1('#skF_1',Y_1533) ),
inference(resolution,[status(thm)],[c_2,c_126]) ).
tff(c_138,plain,
! [X_1539,X_1540,Y_1541] :
( p3(X_1539)
| ~ r1(X_1540,X_1539)
| ~ r1(Y_1541,X_1540)
| ~ r1('#skF_1',Y_1541) ),
inference(resolution,[status(thm)],[c_2,c_130]) ).
tff(c_141,plain,
! [X_1,Y_1541] :
( p3(X_1)
| ~ r1(Y_1541,X_1)
| ~ r1('#skF_1',Y_1541) ),
inference(resolution,[status(thm)],[c_2,c_138]) ).
tff(c_1994,plain,
! [Y_1918,Y_1914,X_1917,X_1916,Y_1915] :
( p3('#skF_8'(Y_1914,X_1917,Y_1915,Y_1918,X_1916))
| ~ r1('#skF_1',Y_1918)
| ~ p101(Y_1918)
| p102(Y_1918)
| ~ r1(X_1917,Y_1918)
| ~ r1(Y_1915,X_1917)
| ~ r1(X_1916,Y_1915)
| ~ r1(Y_1914,X_1916)
| ~ r1('#skF_1',Y_1914) ),
inference(resolution,[status(thm)],[c_362,c_141]) ).
tff(c_74,plain,
! [Y_1489,Y_799,Y_1351,X_1167,X_1443] :
( ~ p3('#skF_8'(Y_799,X_1443,Y_1351,Y_1489,X_1167))
| ~ p101(Y_1489)
| p102(Y_1489)
| ~ r1(X_1443,Y_1489)
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_1999,plain,
! [Y_1923,Y_1920,X_1921,Y_1919,X_1922] :
( ~ r1('#skF_1',Y_1920)
| ~ p101(Y_1920)
| p102(Y_1920)
| ~ r1(X_1922,Y_1920)
| ~ r1(Y_1923,X_1922)
| ~ r1(X_1921,Y_1923)
| ~ r1(Y_1919,X_1921)
| ~ r1('#skF_1',Y_1919) ),
inference(resolution,[status(thm)],[c_1994,c_74]) ).
tff(c_2020,plain,
! [Y_1923,Y_799,Y_1351,X_1167,X_1921,X_1443,Y_1919,X_1922] :
( ~ p101('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| p102('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(X_1922,'#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(Y_1923,X_1922)
| ~ r1(X_1921,Y_1923)
| ~ r1(Y_1919,X_1921)
| ~ r1('#skF_1',Y_1919)
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(resolution,[status(thm)],[c_52,c_1999]) ).
tff(c_2049,plain,
! [Y_1923,Y_799,Y_1351,X_1167,X_1921,X_1443,Y_1919,X_1922] :
( ~ p101('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| p102('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(X_1922,'#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(Y_1923,X_1922)
| ~ r1(X_1921,Y_1923)
| ~ r1(Y_1919,X_1921)
| ~ r1('#skF_1',Y_1919)
| p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2020]) ).
tff(c_4577,plain,
! [X_3745,Y_3746,X_3743,X_3750,Y_3749,X_3747,Y_3744,Y_3748] :
( ~ p101('#skF_11'(Y_3744,X_3745,Y_3746,'#skF_1',X_3747))
| p102('#skF_11'(Y_3744,X_3745,Y_3746,'#skF_1',X_3747))
| ~ r1(X_3743,'#skF_11'(Y_3744,X_3745,Y_3746,'#skF_1',X_3747))
| ~ r1(Y_3748,X_3743)
| ~ r1(X_3750,Y_3748)
| ~ r1(Y_3749,X_3750)
| ~ r1('#skF_1',Y_3749)
| ~ r1(X_3745,'#skF_1')
| ~ r1(Y_3746,X_3745)
| ~ r1(X_3747,Y_3746)
| ~ r1(Y_3744,X_3747)
| ~ r1('#skF_1',Y_3744) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_2049]) ).
tff(c_4580,plain,
! [Y_799,Y_1351,X_1167,X_3750,Y_3749,X_1443,Y_3748] :
( ~ p101('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| p102('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(Y_3748,'#skF_1')
| ~ r1(X_3750,Y_3748)
| ~ r1(Y_3749,X_3750)
| ~ r1('#skF_1',Y_3749)
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(resolution,[status(thm)],[c_52,c_4577]) ).
tff(c_4586,plain,
! [Y_799,Y_1351,X_1167,X_3750,Y_3749,X_1443,Y_3748] :
( ~ p101('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| p102('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(Y_3748,'#skF_1')
| ~ r1(X_3750,Y_3748)
| ~ r1(Y_3749,X_3750)
| ~ r1('#skF_1',Y_3749)
| p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4580]) ).
tff(c_4587,plain,
! [Y_799,Y_1351,X_1167,X_3750,Y_3749,X_1443,Y_3748] :
( ~ p101('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| p102('#skF_11'(Y_799,X_1443,Y_1351,'#skF_1',X_1167))
| ~ r1(Y_3748,'#skF_1')
| ~ r1(X_3750,Y_3748)
| ~ r1(Y_3749,X_3750)
| ~ r1('#skF_1',Y_3749)
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_4586]) ).
tff(c_4590,plain,
! [Y_3751,X_3752,Y_3753] :
( ~ r1(Y_3751,'#skF_1')
| ~ r1(X_3752,Y_3751)
| ~ r1(Y_3753,X_3752)
| ~ r1('#skF_1',Y_3753) ),
inference(splitLeft,[status(thm)],[c_4587]) ).
tff(c_4596,plain,
! [X_3763,Y_3764] :
( ~ r1(X_3763,'#skF_1')
| ~ r1(Y_3764,X_3763)
| ~ r1('#skF_1',Y_3764) ),
inference(resolution,[status(thm)],[c_2,c_4590]) ).
tff(c_4601,plain,
! [Y_3765] :
( ~ r1(Y_3765,'#skF_1')
| ~ r1('#skF_1',Y_3765) ),
inference(resolution,[status(thm)],[c_2,c_4596]) ).
tff(c_4604,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_4601]) ).
tff(c_4608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4604]) ).
tff(c_4610,plain,
! [Y_3766,X_3767,Y_3768,X_3769] :
( ~ p101('#skF_11'(Y_3766,X_3767,Y_3768,'#skF_1',X_3769))
| p102('#skF_11'(Y_3766,X_3767,Y_3768,'#skF_1',X_3769))
| ~ r1(X_3767,'#skF_1')
| ~ r1(Y_3768,X_3767)
| ~ r1(X_3769,Y_3768)
| ~ r1(Y_3766,X_3769)
| ~ r1('#skF_1',Y_3766) ),
inference(splitRight,[status(thm)],[c_4587]) ).
tff(c_48,plain,
! [Y_1489,Y_799,Y_1351,X_1167,X_1443] :
( ~ p102('#skF_11'(Y_799,X_1443,Y_1351,Y_1489,X_1167))
| ~ p100(Y_1489)
| p101(Y_1489)
| ~ r1(X_1443,Y_1489)
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_4616,plain,
! [Y_3766,X_3767,Y_3768,X_3769] :
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ p101('#skF_11'(Y_3766,X_3767,Y_3768,'#skF_1',X_3769))
| ~ r1(X_3767,'#skF_1')
| ~ r1(Y_3768,X_3767)
| ~ r1(X_3769,Y_3768)
| ~ r1(Y_3766,X_3769)
| ~ r1('#skF_1',Y_3766) ),
inference(resolution,[status(thm)],[c_4610,c_48]) ).
tff(c_4620,plain,
! [Y_3766,X_3767,Y_3768,X_3769] :
( p101('#skF_1')
| ~ p101('#skF_11'(Y_3766,X_3767,Y_3768,'#skF_1',X_3769))
| ~ r1(X_3767,'#skF_1')
| ~ r1(Y_3768,X_3767)
| ~ r1(X_3769,Y_3768)
| ~ r1(Y_3766,X_3769)
| ~ r1('#skF_1',Y_3766) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4616]) ).
tff(c_4622,plain,
! [Y_3770,X_3771,Y_3772,X_3773] :
( ~ p101('#skF_11'(Y_3770,X_3771,Y_3772,'#skF_1',X_3773))
| ~ r1(X_3771,'#skF_1')
| ~ r1(Y_3772,X_3771)
| ~ r1(X_3773,Y_3772)
| ~ r1(Y_3770,X_3773)
| ~ r1('#skF_1',Y_3770) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_4620]) ).
tff(c_4626,plain,
! [X_1443,Y_1351,X_1167,Y_799] :
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(resolution,[status(thm)],[c_46,c_4622]) ).
tff(c_4629,plain,
! [X_1443,Y_1351,X_1167,Y_799] :
( p101('#skF_1')
| ~ r1(X_1443,'#skF_1')
| ~ r1(Y_1351,X_1443)
| ~ r1(X_1167,Y_1351)
| ~ r1(Y_799,X_1167)
| ~ r1('#skF_1',Y_799) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4626]) ).
tff(c_4631,plain,
! [X_3774,Y_3775,X_3776,Y_3777] :
( ~ r1(X_3774,'#skF_1')
| ~ r1(Y_3775,X_3774)
| ~ r1(X_3776,Y_3775)
| ~ r1(Y_3777,X_3776)
| ~ r1('#skF_1',Y_3777) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_4629]) ).
tff(c_4636,plain,
! [Y_3778,X_3779,Y_3780] :
( ~ r1(Y_3778,'#skF_1')
| ~ r1(X_3779,Y_3778)
| ~ r1(Y_3780,X_3779)
| ~ r1('#skF_1',Y_3780) ),
inference(resolution,[status(thm)],[c_2,c_4631]) ).
tff(c_4641,plain,
! [X_3781,Y_3782] :
( ~ r1(X_3781,'#skF_1')
| ~ r1(Y_3782,X_3781)
| ~ r1('#skF_1',Y_3782) ),
inference(resolution,[status(thm)],[c_2,c_4636]) ).
tff(c_4646,plain,
! [Y_3783] :
( ~ r1(Y_3783,'#skF_1')
| ~ r1('#skF_1',Y_3783) ),
inference(resolution,[status(thm)],[c_2,c_4641]) ).
tff(c_4649,plain,
~ r1('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_4646]) ).
tff(c_4653,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n026.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 : Thu Aug 3 14:33:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 11.55/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.91/3.88
% 11.91/3.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.91/3.92
% 11.91/3.92 Inference rules
% 11.91/3.92 ----------------------
% 11.91/3.92 #Ref : 0
% 11.91/3.92 #Sup : 1262
% 11.91/3.92 #Fact : 0
% 11.91/3.92 #Define : 0
% 11.91/3.92 #Split : 4
% 11.91/3.92 #Chain : 0
% 11.91/3.92 #Close : 0
% 11.91/3.92
% 11.91/3.92 Ordering : KBO
% 11.91/3.92
% 11.91/3.92 Simplification rules
% 11.91/3.92 ----------------------
% 11.91/3.92 #Subsume : 593
% 11.91/3.92 #Demod : 24
% 11.91/3.92 #Tautology : 20
% 11.91/3.92 #SimpNegUnit : 88
% 11.91/3.92 #BackRed : 0
% 11.91/3.92
% 11.91/3.92 #Partial instantiations: 0
% 11.91/3.92 #Strategies tried : 1
% 11.91/3.92
% 11.91/3.92 Timing (in seconds)
% 11.91/3.92 ----------------------
% 11.91/3.92 Preprocessing : 0.67
% 11.91/3.92 Parsing : 0.34
% 11.91/3.92 CNF conversion : 0.09
% 11.91/3.92 Main loop : 2.11
% 11.91/3.92 Inferencing : 0.71
% 11.91/3.92 Reduction : 0.48
% 11.91/3.92 Demodulation : 0.31
% 11.91/3.92 BG Simplification : 0.07
% 11.91/3.92 Subsumption : 0.72
% 11.91/3.92 Abstraction : 0.05
% 11.91/3.92 MUC search : 0.00
% 11.91/3.92 Cooper : 0.00
% 11.91/3.92 Total : 2.84
% 11.91/3.92 Index Insertion : 0.00
% 11.91/3.92 Index Deletion : 0.00
% 11.91/3.92 Index Matching : 0.00
% 11.91/3.92 BG Taut test : 0.00
%------------------------------------------------------------------------------