TSTP Solution File: CAT025+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT025+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 : 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 10:34:42 EDT 2023
% Result : Theorem 12.54s 4.02s
% Output : CNFRefutation 12.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 47
% Syntax : Number of formulae : 103 ( 27 unt; 41 typ; 0 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 289 ( 144 ~; 110 |; 23 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 34 >; 28 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-6 aty)
% Number of variables : 39 (; 38 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v8_cat_1 > v1_funct_2 > m2_relset_1 > m2_cat_1 > m1_relset_1 > r2_hidden > r1_tarski > r1_isocat_1 > m1_subset_1 > v2_cat_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > v1_cat_1 > l1_cat_1 > g1_cat_1 > k7_isocat_2 > k2_zfmisc_1 > k12_nattra_1 > k11_cat_2 > #nlpp > u6_cat_1 > u5_cat_1 > u4_cat_1 > u3_cat_1 > u2_cat_1 > u1_cat_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_7 > #skF_6 > #skF_11 > #skF_5 > #skF_10 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_12 > #skF_9 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(k12_nattra_1,type,
k12_nattra_1: ( $i * $i ) > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(u2_cat_1,type,
u2_cat_1: $i > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k7_isocat_2,type,
k7_isocat_2: ( $i * $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(g1_cat_1,type,
g1_cat_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(u1_cat_1,type,
u1_cat_1: $i > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $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('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(u5_cat_1,type,
u5_cat_1: $i > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(u4_cat_1,type,
u4_cat_1: $i > $i ).
tff(u3_cat_1,type,
u3_cat_1: $i > $i ).
tff(m2_cat_1,type,
m2_cat_1: ( $i * $i * $i ) > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(l1_cat_1,type,
l1_cat_1: $i > $o ).
tff(u6_cat_1,type,
u6_cat_1: $i > $i ).
tff(k11_cat_2,type,
k11_cat_2: ( $i * $i ) > $i ).
tff(r1_isocat_1,type,
r1_isocat_1: ( $i * $i ) > $o ).
tff(v1_cat_1,type,
v1_cat_1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(v2_cat_1,type,
v2_cat_1: $i > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v8_cat_1,type,
v8_cat_1: ( $i * $i * $i ) > $o ).
tff(f_46,negated_conjecture,
~ ! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( ( v2_cat_1(C)
& l1_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_isocat_2) ).
tff(f_135,axiom,
! [A,B] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B) )
=> ( v1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& l1_cat_1(k12_nattra_1(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
tff(f_121,axiom,
! [A,B] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B) )
=> ( v2_cat_1(k11_cat_2(A,B))
& l1_cat_1(k11_cat_2(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
tff(f_150,axiom,
! [A,B,C] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B)
& v2_cat_1(C)
& l1_cat_1(C) )
=> m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_isocat_2) ).
tff(f_362,axiom,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( ( v2_cat_1(C)
& l1_cat_1(C) )
=> v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_isocat_2) ).
tff(f_77,axiom,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ( r1_isocat_1(A,B)
<=> ? [C] :
( m2_cat_1(C,A,B)
& v8_cat_1(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
tff(c_10,plain,
v2_cat_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_8,plain,
l1_cat_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_6,plain,
v2_cat_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_4,plain,
l1_cat_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_36,plain,
! [A_29,B_30] :
( l1_cat_1(k12_nattra_1(A_29,B_30))
| ~ l1_cat_1(B_30)
| ~ v2_cat_1(B_30)
| ~ l1_cat_1(A_29)
| ~ v2_cat_1(A_29) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_38,plain,
! [A_29,B_30] :
( v2_cat_1(k12_nattra_1(A_29,B_30))
| ~ l1_cat_1(B_30)
| ~ v2_cat_1(B_30)
| ~ l1_cat_1(A_29)
| ~ v2_cat_1(A_29) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_14,plain,
v2_cat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_12,plain,
l1_cat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_32,plain,
! [A_27,B_28] :
( l1_cat_1(k11_cat_2(A_27,B_28))
| ~ l1_cat_1(B_28)
| ~ v2_cat_1(B_28)
| ~ l1_cat_1(A_27)
| ~ v2_cat_1(A_27) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_34,plain,
! [A_27,B_28] :
( v2_cat_1(k11_cat_2(A_27,B_28))
| ~ l1_cat_1(B_28)
| ~ v2_cat_1(B_28)
| ~ l1_cat_1(A_27)
| ~ v2_cat_1(A_27) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_48,plain,
! [A_31,B_32,C_33] :
( m2_cat_1(k7_isocat_2(A_31,B_32,C_33),k12_nattra_1(k11_cat_2(A_31,B_32),C_33),k12_nattra_1(A_31,k12_nattra_1(B_32,C_33)))
| ~ l1_cat_1(C_33)
| ~ v2_cat_1(C_33)
| ~ l1_cat_1(B_32)
| ~ v2_cat_1(B_32)
| ~ l1_cat_1(A_31)
| ~ v2_cat_1(A_31) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_1161,plain,
! [A_356,B_357,C_358] :
( v8_cat_1(k7_isocat_2(A_356,B_357,C_358),k12_nattra_1(k11_cat_2(A_356,B_357),C_358),k12_nattra_1(A_356,k12_nattra_1(B_357,C_358)))
| ~ l1_cat_1(C_358)
| ~ v2_cat_1(C_358)
| ~ l1_cat_1(B_357)
| ~ v2_cat_1(B_357)
| ~ l1_cat_1(A_356)
| ~ v2_cat_1(A_356) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_22,plain,
! [A_11,B_17,C_20] :
( r1_isocat_1(A_11,B_17)
| ~ v8_cat_1(C_20,A_11,B_17)
| ~ m2_cat_1(C_20,A_11,B_17)
| ~ l1_cat_1(B_17)
| ~ v2_cat_1(B_17)
| ~ l1_cat_1(A_11)
| ~ v2_cat_1(A_11) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_5554,plain,
! [A_717,B_718,C_719] :
( r1_isocat_1(k12_nattra_1(k11_cat_2(A_717,B_718),C_719),k12_nattra_1(A_717,k12_nattra_1(B_718,C_719)))
| ~ m2_cat_1(k7_isocat_2(A_717,B_718,C_719),k12_nattra_1(k11_cat_2(A_717,B_718),C_719),k12_nattra_1(A_717,k12_nattra_1(B_718,C_719)))
| ~ l1_cat_1(k12_nattra_1(A_717,k12_nattra_1(B_718,C_719)))
| ~ v2_cat_1(k12_nattra_1(A_717,k12_nattra_1(B_718,C_719)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(A_717,B_718),C_719))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(A_717,B_718),C_719))
| ~ l1_cat_1(C_719)
| ~ v2_cat_1(C_719)
| ~ l1_cat_1(B_718)
| ~ v2_cat_1(B_718)
| ~ l1_cat_1(A_717)
| ~ v2_cat_1(A_717) ),
inference(resolution,[status(thm)],[c_1161,c_22]) ).
tff(c_8454,plain,
! [A_846,B_847,C_848] :
( r1_isocat_1(k12_nattra_1(k11_cat_2(A_846,B_847),C_848),k12_nattra_1(A_846,k12_nattra_1(B_847,C_848)))
| ~ l1_cat_1(k12_nattra_1(A_846,k12_nattra_1(B_847,C_848)))
| ~ v2_cat_1(k12_nattra_1(A_846,k12_nattra_1(B_847,C_848)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(A_846,B_847),C_848))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(A_846,B_847),C_848))
| ~ l1_cat_1(C_848)
| ~ v2_cat_1(C_848)
| ~ l1_cat_1(B_847)
| ~ v2_cat_1(B_847)
| ~ l1_cat_1(A_846)
| ~ v2_cat_1(A_846) ),
inference(resolution,[status(thm)],[c_48,c_5554]) ).
tff(c_2,plain,
~ r1_isocat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3'),k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3'))),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_8459,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3'))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3'))
| ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_8454,c_2]) ).
tff(c_8463,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3'))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_6,c_4,c_8459]) ).
tff(c_10143,plain,
~ v2_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3')),
inference(splitLeft,[status(thm)],[c_8463]) ).
tff(c_10146,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1(k11_cat_2('#skF_1','#skF_2'))
| ~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_38,c_10143]) ).
tff(c_10149,plain,
( ~ l1_cat_1(k11_cat_2('#skF_1','#skF_2'))
| ~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_10146]) ).
tff(c_10150,plain,
~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_10149]) ).
tff(c_10153,plain,
( ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_34,c_10150]) ).
tff(c_10157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_10153]) ).
tff(c_10158,plain,
~ l1_cat_1(k11_cat_2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_10149]) ).
tff(c_10162,plain,
( ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_32,c_10158]) ).
tff(c_10166,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_10162]) ).
tff(c_10167,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3'))) ),
inference(splitRight,[status(thm)],[c_8463]) ).
tff(c_10176,plain,
~ l1_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_10167]) ).
tff(c_10179,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_10176]) ).
tff(c_10182,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10179]) ).
tff(c_10183,plain,
~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_10182]) ).
tff(c_10186,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2') ),
inference(resolution,[status(thm)],[c_38,c_10183]) ).
tff(c_10190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_10186]) ).
tff(c_10191,plain,
~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_10182]) ).
tff(c_10195,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2') ),
inference(resolution,[status(thm)],[c_36,c_10191]) ).
tff(c_10199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_10195]) ).
tff(c_10200,plain,
( ~ v2_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3')))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3')) ),
inference(splitRight,[status(thm)],[c_10167]) ).
tff(c_10203,plain,
~ l1_cat_1(k12_nattra_1(k11_cat_2('#skF_1','#skF_2'),'#skF_3')),
inference(splitLeft,[status(thm)],[c_10200]) ).
tff(c_10206,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1(k11_cat_2('#skF_1','#skF_2'))
| ~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_36,c_10203]) ).
tff(c_10209,plain,
( ~ l1_cat_1(k11_cat_2('#skF_1','#skF_2'))
| ~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_10206]) ).
tff(c_10210,plain,
~ v2_cat_1(k11_cat_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_10209]) ).
tff(c_10215,plain,
( ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_34,c_10210]) ).
tff(c_10219,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_10215]) ).
tff(c_10220,plain,
~ l1_cat_1(k11_cat_2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_10209]) ).
tff(c_10224,plain,
( ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_32,c_10220]) ).
tff(c_10228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_10224]) ).
tff(c_10229,plain,
~ v2_cat_1(k12_nattra_1('#skF_1',k12_nattra_1('#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_10200]) ).
tff(c_10233,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_38,c_10229]) ).
tff(c_10236,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10233]) ).
tff(c_10241,plain,
~ v2_cat_1(k12_nattra_1('#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_10236]) ).
tff(c_10244,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2') ),
inference(resolution,[status(thm)],[c_38,c_10241]) ).
tff(c_10248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_10244]) ).
tff(c_10249,plain,
~ l1_cat_1(k12_nattra_1('#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_10236]) ).
tff(c_10253,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_2')
| ~ v2_cat_1('#skF_2') ),
inference(resolution,[status(thm)],[c_36,c_10249]) ).
tff(c_10257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_10253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:07:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.54/4.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.54/4.03
% 12.54/4.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.78/4.06
% 12.78/4.06 Inference rules
% 12.78/4.06 ----------------------
% 12.78/4.06 #Ref : 18
% 12.78/4.06 #Sup : 2788
% 12.78/4.06 #Fact : 1
% 12.78/4.06 #Define : 0
% 12.78/4.06 #Split : 17
% 12.78/4.06 #Chain : 0
% 12.78/4.06 #Close : 0
% 12.78/4.06
% 12.78/4.06 Ordering : KBO
% 12.78/4.06
% 12.78/4.06 Simplification rules
% 12.78/4.06 ----------------------
% 12.78/4.06 #Subsume : 2155
% 12.78/4.06 #Demod : 138
% 12.78/4.06 #Tautology : 122
% 12.78/4.06 #SimpNegUnit : 538
% 12.78/4.06 #BackRed : 256
% 12.78/4.06
% 12.78/4.06 #Partial instantiations: 0
% 12.78/4.06 #Strategies tried : 1
% 12.78/4.06
% 12.78/4.06 Timing (in seconds)
% 12.78/4.06 ----------------------
% 12.78/4.06 Preprocessing : 0.66
% 12.78/4.06 Parsing : 0.35
% 12.78/4.06 CNF conversion : 0.06
% 12.78/4.06 Main loop : 2.33
% 12.78/4.06 Inferencing : 0.84
% 12.78/4.06 Reduction : 0.62
% 12.78/4.06 Demodulation : 0.41
% 12.78/4.06 BG Simplification : 0.07
% 12.78/4.06 Subsumption : 0.69
% 12.78/4.07 Abstraction : 0.07
% 12.78/4.07 MUC search : 0.00
% 12.78/4.07 Cooper : 0.00
% 12.78/4.07 Total : 3.04
% 12.78/4.07 Index Insertion : 0.00
% 12.78/4.07 Index Deletion : 0.00
% 12.78/4.07 Index Matching : 0.00
% 12.78/4.07 BG Taut test : 0.00
%------------------------------------------------------------------------------