TSTP Solution File: LAT294+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 10:46:41 EDT 2023
% Result : Theorem 6.01s 2.26s
% Output : CNFRefutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 37
% Syntax : Number of formulae : 82 ( 25 unt; 34 typ; 0 def)
% Number of atoms : 258 ( 6 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 364 ( 154 ~; 164 |; 27 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 22 >; 20 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 40 (; 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_funct_2 > r6_binop_1 > r5_binop_1 > r4_binop_1 > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > m1_subset_1 > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > k7_relat_1 > k2_zfmisc_1 > k1_realset1 > #nlpp > k1_zfmisc_1 > k1_xboole_0 > #skF_15 > #skF_8 > #skF_10 > #skF_16 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_4 > #skF_11 > #skF_14 > #skF_7 > #skF_9 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(k7_relat_1,type,
k7_relat_1: ( $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(r6_binop_1,type,
r6_binop_1: ( $i * $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(r4_binop_1,type,
r4_binop_1: ( $i * $i * $i ) > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(k1_realset1,type,
k1_realset1: ( $i * $i ) > $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(r5_binop_1,type,
r5_binop_1: ( $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_75,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m2_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,A),A)
& m2_relset_1(D,k2_zfmisc_1(A,A),A) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,k2_zfmisc_1(B,B),B)
& m2_relset_1(F,k2_zfmisc_1(B,B),B) )
=> ( ( ( E = k1_realset1(C,B) )
& ( F = k1_realset1(D,B) )
& r6_binop_1(A,C,D) )
=> r6_binop_1(B,E,F) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
tff(f_119,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m2_relset_1(B,k2_zfmisc_1(A,A),A) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m2_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ( r6_binop_1(A,B,C)
<=> ( r4_binop_1(A,B,C)
& r5_binop_1(A,B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
tff(f_275,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m2_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,A),A)
& m2_relset_1(D,k2_zfmisc_1(A,A),A) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,k2_zfmisc_1(B,B),B)
& m2_relset_1(F,k2_zfmisc_1(B,B),B) )
=> ( ( ( E = k1_realset1(C,B) )
& ( F = k1_realset1(D,B) ) )
=> ( ( r4_binop_1(A,C,D)
=> r4_binop_1(B,E,F) )
& ( r5_binop_1(A,C,D)
=> r5_binop_1(B,E,F) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
tff(c_2,plain,
~ r6_binop_1('#skF_2','#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_20,plain,
v1_funct_1('#skF_5'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_16,plain,
m2_relset_1('#skF_5',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_36,plain,
~ v1_xboole_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_34,plain,
m1_subset_1('#skF_2',k1_zfmisc_1('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_8,plain,
k1_realset1('#skF_3','#skF_2') = '#skF_5',
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_18,plain,
v1_funct_2('#skF_5',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_14,plain,
v1_funct_1('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_6,plain,
k1_realset1('#skF_4','#skF_2') = '#skF_6',
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_12,plain,
v1_funct_2('#skF_6',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_10,plain,
m2_relset_1('#skF_6',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_38,plain,
~ v1_xboole_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_32,plain,
v1_funct_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_30,plain,
v1_funct_2('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_28,plain,
m2_relset_1('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_26,plain,
v1_funct_1('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_24,plain,
v1_funct_2('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_22,plain,
m2_relset_1('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_4,plain,
r6_binop_1('#skF_1','#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_974,plain,
! [A_403,B_404,C_405] :
( r4_binop_1(A_403,B_404,C_405)
| ~ r6_binop_1(A_403,B_404,C_405)
| ~ m2_relset_1(C_405,k2_zfmisc_1(A_403,A_403),A_403)
| ~ v1_funct_2(C_405,k2_zfmisc_1(A_403,A_403),A_403)
| ~ v1_funct_1(C_405)
| ~ m2_relset_1(B_404,k2_zfmisc_1(A_403,A_403),A_403)
| ~ v1_funct_2(B_404,k2_zfmisc_1(A_403,A_403),A_403)
| ~ v1_funct_1(B_404) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_976,plain,
( r4_binop_1('#skF_1','#skF_3','#skF_4')
| ~ m2_relset_1('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_4')
| ~ m2_relset_1('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_3') ),
inference(resolution,[status(thm)],[c_4,c_974]) ).
tff(c_979,plain,
r4_binop_1('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_30,c_28,c_26,c_24,c_22,c_976]) ).
tff(c_1254,plain,
! [B_455,C_456,D_457,A_458] :
( r4_binop_1(B_455,k1_realset1(C_456,B_455),k1_realset1(D_457,B_455))
| ~ r4_binop_1(A_458,C_456,D_457)
| ~ m2_relset_1(k1_realset1(D_457,B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1(D_457,B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1(D_457,B_455))
| ~ m2_relset_1(k1_realset1(C_456,B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1(C_456,B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1(C_456,B_455))
| ~ m2_relset_1(D_457,k2_zfmisc_1(A_458,A_458),A_458)
| ~ v1_funct_2(D_457,k2_zfmisc_1(A_458,A_458),A_458)
| ~ v1_funct_1(D_457)
| ~ m2_relset_1(C_456,k2_zfmisc_1(A_458,A_458),A_458)
| ~ v1_funct_2(C_456,k2_zfmisc_1(A_458,A_458),A_458)
| ~ v1_funct_1(C_456)
| ~ m1_subset_1(B_455,k1_zfmisc_1(A_458))
| v1_xboole_0(B_455)
| v1_xboole_0(A_458) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_1256,plain,
! [B_455] :
( r4_binop_1(B_455,k1_realset1('#skF_3',B_455),k1_realset1('#skF_4',B_455))
| ~ m2_relset_1(k1_realset1('#skF_4',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1('#skF_4',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1('#skF_4',B_455))
| ~ m2_relset_1(k1_realset1('#skF_3',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1('#skF_3',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1('#skF_3',B_455))
| ~ m2_relset_1('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_4')
| ~ m2_relset_1('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_3')
| ~ m1_subset_1(B_455,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_455)
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_979,c_1254]) ).
tff(c_1259,plain,
! [B_455] :
( r4_binop_1(B_455,k1_realset1('#skF_3',B_455),k1_realset1('#skF_4',B_455))
| ~ m2_relset_1(k1_realset1('#skF_4',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1('#skF_4',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1('#skF_4',B_455))
| ~ m2_relset_1(k1_realset1('#skF_3',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_2(k1_realset1('#skF_3',B_455),k2_zfmisc_1(B_455,B_455),B_455)
| ~ v1_funct_1(k1_realset1('#skF_3',B_455))
| ~ m1_subset_1(B_455,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_455)
| v1_xboole_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_30,c_28,c_26,c_24,c_22,c_1256]) ).
tff(c_1360,plain,
! [B_464] :
( r4_binop_1(B_464,k1_realset1('#skF_3',B_464),k1_realset1('#skF_4',B_464))
| ~ m2_relset_1(k1_realset1('#skF_4',B_464),k2_zfmisc_1(B_464,B_464),B_464)
| ~ v1_funct_2(k1_realset1('#skF_4',B_464),k2_zfmisc_1(B_464,B_464),B_464)
| ~ v1_funct_1(k1_realset1('#skF_4',B_464))
| ~ m2_relset_1(k1_realset1('#skF_3',B_464),k2_zfmisc_1(B_464,B_464),B_464)
| ~ v1_funct_2(k1_realset1('#skF_3',B_464),k2_zfmisc_1(B_464,B_464),B_464)
| ~ v1_funct_1(k1_realset1('#skF_3',B_464))
| ~ m1_subset_1(B_464,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_464) ),
inference(negUnitSimplification,[status(thm)],[c_38,c_1259]) ).
tff(c_1363,plain,
( r4_binop_1('#skF_2',k1_realset1('#skF_3','#skF_2'),k1_realset1('#skF_4','#skF_2'))
| ~ m2_relset_1(k1_realset1('#skF_4','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1('#skF_4','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1('#skF_4','#skF_2'))
| ~ m2_relset_1(k1_realset1('#skF_3','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_5',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1('#skF_3','#skF_2'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1('#skF_1'))
| v1_xboole_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1360]) ).
tff(c_1365,plain,
( r4_binop_1('#skF_2','#skF_5','#skF_6')
| v1_xboole_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_20,c_8,c_18,c_16,c_8,c_14,c_6,c_12,c_6,c_10,c_6,c_8,c_6,c_1363]) ).
tff(c_1366,plain,
r4_binop_1('#skF_2','#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_36,c_1365]) ).
tff(c_1010,plain,
! [A_411,B_412,C_413] :
( r5_binop_1(A_411,B_412,C_413)
| ~ r6_binop_1(A_411,B_412,C_413)
| ~ m2_relset_1(C_413,k2_zfmisc_1(A_411,A_411),A_411)
| ~ v1_funct_2(C_413,k2_zfmisc_1(A_411,A_411),A_411)
| ~ v1_funct_1(C_413)
| ~ m2_relset_1(B_412,k2_zfmisc_1(A_411,A_411),A_411)
| ~ v1_funct_2(B_412,k2_zfmisc_1(A_411,A_411),A_411)
| ~ v1_funct_1(B_412) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_1012,plain,
( r5_binop_1('#skF_1','#skF_3','#skF_4')
| ~ m2_relset_1('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_4')
| ~ m2_relset_1('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_3') ),
inference(resolution,[status(thm)],[c_4,c_1010]) ).
tff(c_1015,plain,
r5_binop_1('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_30,c_28,c_26,c_24,c_22,c_1012]) ).
tff(c_1158,plain,
! [B_436,C_437,D_438,A_439] :
( r5_binop_1(B_436,k1_realset1(C_437,B_436),k1_realset1(D_438,B_436))
| ~ r5_binop_1(A_439,C_437,D_438)
| ~ m2_relset_1(k1_realset1(D_438,B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1(D_438,B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1(D_438,B_436))
| ~ m2_relset_1(k1_realset1(C_437,B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1(C_437,B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1(C_437,B_436))
| ~ m2_relset_1(D_438,k2_zfmisc_1(A_439,A_439),A_439)
| ~ v1_funct_2(D_438,k2_zfmisc_1(A_439,A_439),A_439)
| ~ v1_funct_1(D_438)
| ~ m2_relset_1(C_437,k2_zfmisc_1(A_439,A_439),A_439)
| ~ v1_funct_2(C_437,k2_zfmisc_1(A_439,A_439),A_439)
| ~ v1_funct_1(C_437)
| ~ m1_subset_1(B_436,k1_zfmisc_1(A_439))
| v1_xboole_0(B_436)
| v1_xboole_0(A_439) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_1160,plain,
! [B_436] :
( r5_binop_1(B_436,k1_realset1('#skF_3',B_436),k1_realset1('#skF_4',B_436))
| ~ m2_relset_1(k1_realset1('#skF_4',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1('#skF_4',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1('#skF_4',B_436))
| ~ m2_relset_1(k1_realset1('#skF_3',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1('#skF_3',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1('#skF_3',B_436))
| ~ m2_relset_1('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_4')
| ~ m2_relset_1('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_1','#skF_1'),'#skF_1')
| ~ v1_funct_1('#skF_3')
| ~ m1_subset_1(B_436,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_436)
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1015,c_1158]) ).
tff(c_1163,plain,
! [B_436] :
( r5_binop_1(B_436,k1_realset1('#skF_3',B_436),k1_realset1('#skF_4',B_436))
| ~ m2_relset_1(k1_realset1('#skF_4',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1('#skF_4',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1('#skF_4',B_436))
| ~ m2_relset_1(k1_realset1('#skF_3',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_2(k1_realset1('#skF_3',B_436),k2_zfmisc_1(B_436,B_436),B_436)
| ~ v1_funct_1(k1_realset1('#skF_3',B_436))
| ~ m1_subset_1(B_436,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_436)
| v1_xboole_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_30,c_28,c_26,c_24,c_22,c_1160]) ).
tff(c_1188,plain,
! [B_446] :
( r5_binop_1(B_446,k1_realset1('#skF_3',B_446),k1_realset1('#skF_4',B_446))
| ~ m2_relset_1(k1_realset1('#skF_4',B_446),k2_zfmisc_1(B_446,B_446),B_446)
| ~ v1_funct_2(k1_realset1('#skF_4',B_446),k2_zfmisc_1(B_446,B_446),B_446)
| ~ v1_funct_1(k1_realset1('#skF_4',B_446))
| ~ m2_relset_1(k1_realset1('#skF_3',B_446),k2_zfmisc_1(B_446,B_446),B_446)
| ~ v1_funct_2(k1_realset1('#skF_3',B_446),k2_zfmisc_1(B_446,B_446),B_446)
| ~ v1_funct_1(k1_realset1('#skF_3',B_446))
| ~ m1_subset_1(B_446,k1_zfmisc_1('#skF_1'))
| v1_xboole_0(B_446) ),
inference(negUnitSimplification,[status(thm)],[c_38,c_1163]) ).
tff(c_1191,plain,
( r5_binop_1('#skF_2',k1_realset1('#skF_3','#skF_2'),k1_realset1('#skF_4','#skF_2'))
| ~ m2_relset_1(k1_realset1('#skF_4','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1('#skF_4','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1('#skF_4','#skF_2'))
| ~ m2_relset_1(k1_realset1('#skF_3','#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_5',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1('#skF_3','#skF_2'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1('#skF_1'))
| v1_xboole_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1188]) ).
tff(c_1193,plain,
( r5_binop_1('#skF_2','#skF_5','#skF_6')
| v1_xboole_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_20,c_8,c_18,c_16,c_8,c_14,c_6,c_12,c_6,c_10,c_6,c_8,c_6,c_1191]) ).
tff(c_1194,plain,
r5_binop_1('#skF_2','#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_36,c_1193]) ).
tff(c_1086,plain,
! [A_424,B_425,C_426] :
( r6_binop_1(A_424,B_425,C_426)
| ~ r5_binop_1(A_424,B_425,C_426)
| ~ r4_binop_1(A_424,B_425,C_426)
| ~ m2_relset_1(C_426,k2_zfmisc_1(A_424,A_424),A_424)
| ~ v1_funct_2(C_426,k2_zfmisc_1(A_424,A_424),A_424)
| ~ v1_funct_1(C_426)
| ~ m2_relset_1(B_425,k2_zfmisc_1(A_424,A_424),A_424)
| ~ v1_funct_2(B_425,k2_zfmisc_1(A_424,A_424),A_424)
| ~ v1_funct_1(B_425) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_1090,plain,
! [B_425] :
( r6_binop_1('#skF_2',B_425,'#skF_6')
| ~ r5_binop_1('#skF_2',B_425,'#skF_6')
| ~ r4_binop_1('#skF_2',B_425,'#skF_6')
| ~ m2_relset_1('#skF_6',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1('#skF_6')
| ~ m2_relset_1(B_425,k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(B_425,k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(B_425) ),
inference(resolution,[status(thm)],[c_12,c_1086]) ).
tff(c_1483,plain,
! [B_486] :
( r6_binop_1('#skF_2',B_486,'#skF_6')
| ~ r5_binop_1('#skF_2',B_486,'#skF_6')
| ~ r4_binop_1('#skF_2',B_486,'#skF_6')
| ~ m2_relset_1(B_486,k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(B_486,k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(B_486) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_10,c_1090]) ).
tff(c_1489,plain,
( r6_binop_1('#skF_2','#skF_5','#skF_6')
| ~ r5_binop_1('#skF_2','#skF_5','#skF_6')
| ~ r4_binop_1('#skF_2','#skF_5','#skF_6')
| ~ m2_relset_1('#skF_5',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1('#skF_5') ),
inference(resolution,[status(thm)],[c_18,c_1483]) ).
tff(c_1495,plain,
r6_binop_1('#skF_2','#skF_5','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_16,c_1366,c_1194,c_1489]) ).
tff(c_1497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 12:21:19 EDT 2023
% 0.14/0.34 % CPUTime :
% 6.01/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.01/2.26
% 6.01/2.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.01/2.29
% 6.01/2.29 Inference rules
% 6.01/2.29 ----------------------
% 6.01/2.29 #Ref : 0
% 6.01/2.29 #Sup : 284
% 6.01/2.29 #Fact : 0
% 6.01/2.29 #Define : 0
% 6.01/2.29 #Split : 11
% 6.01/2.29 #Chain : 0
% 6.01/2.29 #Close : 0
% 6.01/2.29
% 6.01/2.29 Ordering : KBO
% 6.01/2.29
% 6.01/2.29 Simplification rules
% 6.01/2.29 ----------------------
% 6.01/2.29 #Subsume : 67
% 6.01/2.29 #Demod : 152
% 6.01/2.29 #Tautology : 87
% 6.01/2.29 #SimpNegUnit : 26
% 6.01/2.29 #BackRed : 9
% 6.01/2.29
% 6.01/2.29 #Partial instantiations: 0
% 6.01/2.29 #Strategies tried : 1
% 6.01/2.29
% 6.01/2.29 Timing (in seconds)
% 6.01/2.29 ----------------------
% 6.01/2.30 Preprocessing : 0.59
% 6.01/2.30 Parsing : 0.30
% 6.01/2.30 CNF conversion : 0.06
% 6.01/2.30 Main loop : 0.69
% 6.01/2.30 Inferencing : 0.25
% 6.01/2.30 Reduction : 0.20
% 6.01/2.30 Demodulation : 0.14
% 6.01/2.30 BG Simplification : 0.03
% 6.01/2.30 Subsumption : 0.14
% 6.01/2.30 Abstraction : 0.02
% 6.01/2.30 MUC search : 0.00
% 6.01/2.30 Cooper : 0.00
% 6.01/2.30 Total : 1.33
% 6.01/2.30 Index Insertion : 0.00
% 6.01/2.30 Index Deletion : 0.00
% 6.01/2.30 Index Matching : 0.00
% 6.01/2.30 BG Taut test : 0.00
%------------------------------------------------------------------------------