TSTP Solution File: CAT032+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT032+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 : n021.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 10:34:44 EDT 2023
% Result : Theorem 13.94s 4.42s
% Output : CNFRefutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 48
% Syntax : Number of formulae : 130 ( 40 unt; 41 typ; 0 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 446 ( 224 ~; 180 |; 28 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 54 (; 53 !; 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 > k17_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(k17_isocat_2,type,
k17_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(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_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_149,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(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
tff(f_366,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(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_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(f_167,axiom,
! [A,B] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( m2_cat_1(C,A,B)
=> ( v1_funct_1(C)
& v1_funct_2(C,u2_cat_1(A),u2_cat_1(B))
& m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_cat_1) ).
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_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_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_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_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_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_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_42,plain,
! [A_31,B_32,C_33] :
( m2_cat_1(k17_isocat_2(A_31,B_32,C_33),k12_nattra_1(A_31,k11_cat_2(B_32,C_33)),k11_cat_2(k12_nattra_1(A_31,B_32),k12_nattra_1(A_31,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_149]) ).
tff(c_1191,plain,
! [A_368,B_369,C_370] :
( v8_cat_1(k17_isocat_2(A_368,B_369,C_370),k12_nattra_1(A_368,k11_cat_2(B_369,C_370)),k11_cat_2(k12_nattra_1(A_368,B_369),k12_nattra_1(A_368,C_370)))
| ~ l1_cat_1(C_370)
| ~ v2_cat_1(C_370)
| ~ l1_cat_1(B_369)
| ~ v2_cat_1(B_369)
| ~ l1_cat_1(A_368)
| ~ v2_cat_1(A_368) ),
inference(cnfTransformation,[status(thm)],[f_366]) ).
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_5552,plain,
! [A_717,B_718,C_719] :
( r1_isocat_1(k12_nattra_1(A_717,k11_cat_2(B_718,C_719)),k11_cat_2(k12_nattra_1(A_717,B_718),k12_nattra_1(A_717,C_719)))
| ~ m2_cat_1(k17_isocat_2(A_717,B_718,C_719),k12_nattra_1(A_717,k11_cat_2(B_718,C_719)),k11_cat_2(k12_nattra_1(A_717,B_718),k12_nattra_1(A_717,C_719)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(A_717,B_718),k12_nattra_1(A_717,C_719)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(A_717,B_718),k12_nattra_1(A_717,C_719)))
| ~ l1_cat_1(k12_nattra_1(A_717,k11_cat_2(B_718,C_719)))
| ~ v2_cat_1(k12_nattra_1(A_717,k11_cat_2(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_1191,c_22]) ).
tff(c_12229,plain,
! [A_877,B_878,C_879] :
( r1_isocat_1(k12_nattra_1(A_877,k11_cat_2(B_878,C_879)),k11_cat_2(k12_nattra_1(A_877,B_878),k12_nattra_1(A_877,C_879)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(A_877,B_878),k12_nattra_1(A_877,C_879)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(A_877,B_878),k12_nattra_1(A_877,C_879)))
| ~ l1_cat_1(k12_nattra_1(A_877,k11_cat_2(B_878,C_879)))
| ~ v2_cat_1(k12_nattra_1(A_877,k11_cat_2(B_878,C_879)))
| ~ l1_cat_1(C_879)
| ~ v2_cat_1(C_879)
| ~ l1_cat_1(B_878)
| ~ v2_cat_1(B_878)
| ~ l1_cat_1(A_877)
| ~ v2_cat_1(A_877) ),
inference(resolution,[status(thm)],[c_42,c_5552]) ).
tff(c_2,plain,
~ r1_isocat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')),k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3'))),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_12234,plain,
( ~ l1_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#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_12229,c_2]) ).
tff(c_12238,plain,
( ~ l1_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_6,c_4,c_12234]) ).
tff(c_12446,plain,
~ v2_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_12238]) ).
tff(c_12449,plain,
( ~ l1_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ v2_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_38,c_12446]) ).
tff(c_12452,plain,
( ~ l1_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ v2_cat_1(k11_cat_2('#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_12449]) ).
tff(c_12453,plain,
~ v2_cat_1(k11_cat_2('#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_12452]) ).
tff(c_12456,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_34,c_12453]) ).
tff(c_12460,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_12456]) ).
tff(c_12461,plain,
~ l1_cat_1(k11_cat_2('#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_12452]) ).
tff(c_12465,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_32,c_12461]) ).
tff(c_12469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_12465]) ).
tff(c_12470,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3'))) ),
inference(splitRight,[status(thm)],[c_12238]) ).
tff(c_14113,plain,
~ l1_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3'))),
inference(splitLeft,[status(thm)],[c_12470]) ).
tff(c_14117,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_32,c_14113]) ).
tff(c_14118,plain,
~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_14117]) ).
tff(c_14121,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_38,c_14118]) ).
tff(c_14125,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_14121]) ).
tff(c_14126,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_14117]) ).
tff(c_14128,plain,
~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_14126]) ).
tff(c_14135,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_14128]) ).
tff(c_14139,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_6,c_4,c_14135]) ).
tff(c_14140,plain,
( ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_14126]) ).
tff(c_14142,plain,
~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_14140]) ).
tff(c_14145,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_36,c_14142]) ).
tff(c_14149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_14145]) ).
tff(c_14150,plain,
~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_14140]) ).
tff(c_14154,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_38,c_14150]) ).
tff(c_14158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_6,c_4,c_14154]) ).
tff(c_14159,plain,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3')))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))) ),
inference(splitRight,[status(thm)],[c_12470]) ).
tff(c_14167,plain,
~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_14159]) ).
tff(c_14170,plain,
( ~ l1_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ v2_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_14167]) ).
tff(c_14173,plain,
( ~ l1_cat_1(k11_cat_2('#skF_2','#skF_3'))
| ~ v2_cat_1(k11_cat_2('#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_14170]) ).
tff(c_14178,plain,
~ v2_cat_1(k11_cat_2('#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_14173]) ).
tff(c_14181,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_34,c_14178]) ).
tff(c_14185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_14181]) ).
tff(c_14186,plain,
~ l1_cat_1(k11_cat_2('#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_14173]) ).
tff(c_14190,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_32,c_14186]) ).
tff(c_14194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_14190]) ).
tff(c_14195,plain,
~ v2_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3'))),
inference(splitRight,[status(thm)],[c_14159]) ).
tff(c_14200,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_34,c_14195]) ).
tff(c_14201,plain,
~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_14200]) ).
tff(c_14204,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_38,c_14201]) ).
tff(c_14208,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_14204]) ).
tff(c_14210,plain,
v2_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_14200]) ).
tff(c_14196,plain,
l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_14159]) ).
tff(c_12471,plain,
v2_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_12238]) ).
tff(c_14160,plain,
l1_cat_1(k11_cat_2(k12_nattra_1('#skF_1','#skF_2'),k12_nattra_1('#skF_1','#skF_3'))),
inference(splitRight,[status(thm)],[c_12470]) ).
tff(c_1155,plain,
! [A_358,B_359,C_360] :
( m2_cat_1(k17_isocat_2(A_358,B_359,C_360),k12_nattra_1(A_358,k11_cat_2(B_359,C_360)),k11_cat_2(k12_nattra_1(A_358,B_359),k12_nattra_1(A_358,C_360)))
| ~ l1_cat_1(C_360)
| ~ v2_cat_1(C_360)
| ~ l1_cat_1(B_359)
| ~ v2_cat_1(B_359)
| ~ l1_cat_1(A_358)
| ~ v2_cat_1(A_358) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_60,plain,
! [C_37,A_34,B_35] :
( v1_funct_1(C_37)
| ~ m2_cat_1(C_37,A_34,B_35)
| ~ l1_cat_1(B_35)
| ~ v2_cat_1(B_35)
| ~ l1_cat_1(A_34)
| ~ v2_cat_1(A_34) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_2403,plain,
! [A_545,B_546,C_547] :
( v1_funct_1(k17_isocat_2(A_545,B_546,C_547))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(A_545,B_546),k12_nattra_1(A_545,C_547)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(A_545,B_546),k12_nattra_1(A_545,C_547)))
| ~ l1_cat_1(k12_nattra_1(A_545,k11_cat_2(B_546,C_547)))
| ~ v2_cat_1(k12_nattra_1(A_545,k11_cat_2(B_546,C_547)))
| ~ l1_cat_1(C_547)
| ~ v2_cat_1(C_547)
| ~ l1_cat_1(B_546)
| ~ v2_cat_1(B_546)
| ~ l1_cat_1(A_545)
| ~ v2_cat_1(A_545) ),
inference(resolution,[status(thm)],[c_1155,c_60]) ).
tff(c_2407,plain,
! [A_545,B_546,C_547] :
( v1_funct_1(k17_isocat_2(A_545,B_546,C_547))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(A_545,B_546),k12_nattra_1(A_545,C_547)))
| ~ l1_cat_1(k12_nattra_1(A_545,k11_cat_2(B_546,C_547)))
| ~ v2_cat_1(k12_nattra_1(A_545,k11_cat_2(B_546,C_547)))
| ~ l1_cat_1(C_547)
| ~ v2_cat_1(C_547)
| ~ l1_cat_1(B_546)
| ~ v2_cat_1(B_546)
| ~ l1_cat_1(A_545)
| ~ v2_cat_1(A_545)
| ~ l1_cat_1(k12_nattra_1(A_545,C_547))
| ~ v2_cat_1(k12_nattra_1(A_545,C_547))
| ~ l1_cat_1(k12_nattra_1(A_545,B_546))
| ~ v2_cat_1(k12_nattra_1(A_545,B_546)) ),
inference(resolution,[status(thm)],[c_34,c_2403]) ).
tff(c_14163,plain,
( v1_funct_1(k17_isocat_2('#skF_1','#skF_2','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')))
| ~ v2_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#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')
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_14160,c_2407]) ).
tff(c_14166,plain,
( v1_funct_1(k17_isocat_2('#skF_1','#skF_2','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1',k11_cat_2('#skF_2','#skF_3')))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_6,c_4,c_12471,c_14163]) ).
tff(c_14226,plain,
( v1_funct_1(k17_isocat_2('#skF_1','#skF_2','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14210,c_14196,c_14166]) ).
tff(c_14227,plain,
~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_14226]) ).
tff(c_14230,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_36,c_14227]) ).
tff(c_14234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_8,c_14230]) ).
tff(c_14236,plain,
l1_cat_1(k12_nattra_1('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_14226]) ).
tff(c_14209,plain,
( ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2'))
| ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_14200]) ).
tff(c_14215,plain,
~ l1_cat_1(k12_nattra_1('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_14209]) ).
tff(c_14218,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_14215]) ).
tff(c_14222,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_6,c_4,c_14218]) ).
tff(c_14223,plain,
( ~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3'))
| ~ l1_cat_1(k12_nattra_1('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_14209]) ).
tff(c_14238,plain,
~ v2_cat_1(k12_nattra_1('#skF_1','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_14236,c_14223]) ).
tff(c_14241,plain,
( ~ l1_cat_1('#skF_3')
| ~ v2_cat_1('#skF_3')
| ~ l1_cat_1('#skF_1')
| ~ v2_cat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_38,c_14238]) ).
tff(c_14245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_6,c_4,c_14241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT032+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n021.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 17:50:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.94/4.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.94/4.43
% 13.94/4.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.94/4.46
% 13.94/4.46 Inference rules
% 13.94/4.46 ----------------------
% 13.94/4.46 #Ref : 18
% 13.94/4.46 #Sup : 3945
% 13.94/4.46 #Fact : 1
% 13.94/4.46 #Define : 0
% 13.94/4.46 #Split : 28
% 13.94/4.46 #Chain : 0
% 13.94/4.46 #Close : 0
% 13.94/4.46
% 13.94/4.46 Ordering : KBO
% 13.94/4.46
% 13.94/4.46 Simplification rules
% 13.94/4.46 ----------------------
% 13.94/4.46 #Subsume : 3339
% 13.94/4.46 #Demod : 193
% 13.94/4.46 #Tautology : 159
% 13.94/4.46 #SimpNegUnit : 948
% 13.94/4.46 #BackRed : 573
% 13.94/4.46
% 13.94/4.46 #Partial instantiations: 0
% 13.94/4.47 #Strategies tried : 1
% 13.94/4.47
% 13.94/4.47 Timing (in seconds)
% 13.94/4.47 ----------------------
% 13.94/4.47 Preprocessing : 0.63
% 13.94/4.47 Parsing : 0.34
% 13.94/4.47 CNF conversion : 0.06
% 13.94/4.47 Main loop : 2.81
% 13.94/4.47 Inferencing : 0.94
% 13.94/4.47 Reduction : 0.79
% 13.94/4.47 Demodulation : 0.52
% 13.94/4.47 BG Simplification : 0.06
% 13.94/4.47 Subsumption : 0.88
% 13.94/4.47 Abstraction : 0.08
% 13.94/4.47 MUC search : 0.00
% 13.94/4.47 Cooper : 0.00
% 13.94/4.47 Total : 3.51
% 13.94/4.47 Index Insertion : 0.00
% 13.94/4.47 Index Deletion : 0.00
% 13.94/4.47 Index Matching : 0.00
% 13.94/4.47 BG Taut test : 0.00
%------------------------------------------------------------------------------