TSTP Solution File: SEU412+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU412+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/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 : n004.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 10:58:40 EDT 2023
% Result : Theorem 176.80s 140.46s
% Output : CNFRefutation 176.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 53
% Syntax : Number of formulae : 156 ( 43 unt; 39 typ; 0 def)
% Number of atoms : 280 ( 9 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 309 ( 146 ~; 123 |; 20 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 30 >; 31 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-6 aty)
% Number of variables : 148 (; 148 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_relset_1 > m1_relset_1 > v13_waybel_0 > r2_hidden > r1_tarski > m1_subset_1 > v1_xboole_0 > v1_relat_1 > v1_orders_2 > l1_struct_0 > l1_orders_2 > k7_relset_1 > k5_relat_1 > k4_xboole_0 > k4_tarski > k3_xboole_0 > k2_zfmisc_1 > k2_xboole_0 > k1_latsum_1 > g1_orders_2 > #nlpp > u1_struct_0 > u1_orders_2 > k1_zfmisc_1 > k1_xboole_0 > #skF_11 > #skF_6 > #skF_15 > #skF_13 > #skF_10 > #skF_14 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_7 > #skF_4 > #skF_8 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v1_orders_2,type,
v1_orders_2: $i > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(k4_xboole_0,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(k4_tarski,type,
k4_tarski: ( $i * $i ) > $i ).
tff(k7_relset_1,type,
k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k5_relat_1,type,
k5_relat_1: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
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(g1_orders_2,type,
g1_orders_2: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(k1_latsum_1,type,
k1_latsum_1: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(l1_orders_2,type,
l1_orders_2: $i > $o ).
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(v13_waybel_0,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(k3_xboole_0,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(u1_orders_2,type,
u1_orders_2: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(k2_xboole_0,type,
k2_xboole_0: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_57,negated_conjecture,
~ ! [A,B,C] :
( l1_orders_2(C)
=> ! [D] :
( l1_orders_2(D)
=> ~ ( r2_hidden(k4_tarski(A,B),u1_orders_2(k1_latsum_1(C,D)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(C),u1_struct_0(D)),C)
& m1_subset_1(k3_xboole_0(u1_struct_0(C),u1_struct_0(D)),k1_zfmisc_1(u1_struct_0(C)))
& ~ ( r2_hidden(A,u1_struct_0(C))
& r2_hidden(B,u1_struct_0(C)) )
& ~ ( r2_hidden(A,u1_struct_0(D))
& r2_hidden(B,u1_struct_0(D)) )
& ~ ( r2_hidden(A,k4_xboole_0(u1_struct_0(C),u1_struct_0(D)))
& r2_hidden(B,k4_xboole_0(u1_struct_0(D),u1_struct_0(C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsum_1) ).
tff(f_125,axiom,
! [A,B] :
( ( l1_orders_2(A)
& l1_orders_2(B) )
=> ( v1_orders_2(k1_latsum_1(A,B))
& l1_orders_2(k1_latsum_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
tff(f_150,axiom,
! [A] :
( l1_orders_2(A)
=> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
tff(f_146,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
tff(f_248,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
tff(f_263,axiom,
! [A,B,C] :
~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C))
& v1_xboole_0(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
tff(f_256,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
tff(f_242,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
tff(f_212,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
<=> ( r2_hidden(A,C)
& r2_hidden(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
tff(f_92,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( ( v1_orders_2(C)
& l1_orders_2(C) )
=> ( ( C = k1_latsum_1(A,B) )
<=> ( ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) )
& ( u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
tff(f_101,axiom,
! [A,B,C] :
( ( C = k2_xboole_0(A,B) )
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
| r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
tff(f_76,axiom,
! [A,B] : ( k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
tff(f_228,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C,D] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A)))
& r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))
& r2_hidden(C,u1_struct_0(B)) )
=> r2_hidden(D,u1_struct_0(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_latsum_1) ).
tff(f_111,axiom,
! [A,B,C] :
( ( C = k4_xboole_0(A,B) )
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
tff(c_16,plain,
l1_orders_2('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_14,plain,
l1_orders_2('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_76,plain,
! [A_33,B_34] :
( v1_orders_2(k1_latsum_1(A_33,B_34))
| ~ l1_orders_2(B_34)
| ~ l1_orders_2(A_33) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_6,plain,
( ~ r2_hidden('#skF_2',u1_struct_0('#skF_3'))
| ~ r2_hidden('#skF_1',u1_struct_0('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_275,plain,
~ r2_hidden('#skF_1',u1_struct_0('#skF_3')),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_4,plain,
( ~ r2_hidden('#skF_2',u1_struct_0('#skF_4'))
| ~ r2_hidden('#skF_1',u1_struct_0('#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_362,plain,
~ r2_hidden('#skF_1',u1_struct_0('#skF_4')),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_74,plain,
! [A_33,B_34] :
( l1_orders_2(k1_latsum_1(A_33,B_34))
| ~ l1_orders_2(B_34)
| ~ l1_orders_2(A_33) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_106,plain,
! [A_47] :
( m2_relset_1(u1_orders_2(A_47),u1_struct_0(A_47),u1_struct_0(A_47))
| ~ l1_orders_2(A_47) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_977,plain,
! [C_251,A_252,B_253] :
( m1_subset_1(C_251,k1_zfmisc_1(k2_zfmisc_1(A_252,B_253)))
| ~ m2_relset_1(C_251,A_252,B_253) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_164,plain,
! [A_103,B_104] :
( r1_tarski(A_103,B_104)
| ~ m1_subset_1(A_103,k1_zfmisc_1(B_104)) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_1034,plain,
! [C_270,A_271,B_272] :
( r1_tarski(C_270,k2_zfmisc_1(A_271,B_272))
| ~ m2_relset_1(C_270,A_271,B_272) ),
inference(resolution,[status(thm)],[c_977,c_164]) ).
tff(c_12,plain,
r2_hidden(k4_tarski('#skF_1','#skF_2'),u1_orders_2(k1_latsum_1('#skF_3','#skF_4'))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_166,plain,
! [A_103,B_104] :
( m1_subset_1(A_103,k1_zfmisc_1(B_104))
| ~ r1_tarski(A_103,B_104) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_764,plain,
! [C_211,B_212,A_213] :
( ~ v1_xboole_0(C_211)
| ~ m1_subset_1(B_212,k1_zfmisc_1(C_211))
| ~ r2_hidden(A_213,B_212) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_828,plain,
! [B_222,A_223,A_224] :
( ~ v1_xboole_0(B_222)
| ~ r2_hidden(A_223,A_224)
| ~ r1_tarski(A_224,B_222) ),
inference(resolution,[status(thm)],[c_166,c_764]) ).
tff(c_840,plain,
! [B_222] :
( ~ v1_xboole_0(B_222)
| ~ r1_tarski(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),B_222) ),
inference(resolution,[status(thm)],[c_12,c_828]) ).
tff(c_1402,plain,
! [A_319,B_320] :
( ~ v1_xboole_0(k2_zfmisc_1(A_319,B_320))
| ~ m2_relset_1(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),A_319,B_320) ),
inference(resolution,[status(thm)],[c_1034,c_840]) ).
tff(c_1411,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_106,c_1402]) ).
tff(c_586482,plain,
~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_1411]) ).
tff(c_586485,plain,
( ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_74,c_586482]) ).
tff(c_586489,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_586485]) ).
tff(c_586491,plain,
l1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_1411]) ).
tff(c_586490,plain,
~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))),
inference(splitRight,[status(thm)],[c_1411]) ).
tff(c_946,plain,
! [A_243,C_244,B_245] :
( m1_subset_1(A_243,C_244)
| ~ m1_subset_1(B_245,k1_zfmisc_1(C_244))
| ~ r2_hidden(A_243,B_245) ),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_964,plain,
! [A_248,B_249,A_250] :
( m1_subset_1(A_248,B_249)
| ~ r2_hidden(A_248,A_250)
| ~ r1_tarski(A_250,B_249) ),
inference(resolution,[status(thm)],[c_166,c_946]) ).
tff(c_976,plain,
! [B_249] :
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),B_249)
| ~ r1_tarski(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),B_249) ),
inference(resolution,[status(thm)],[c_12,c_964]) ).
tff(c_291840,plain,
! [A_84217,B_84218] :
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(A_84217,B_84218))
| ~ m2_relset_1(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),A_84217,B_84218) ),
inference(resolution,[status(thm)],[c_1034,c_976]) ).
tff(c_291849,plain,
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_106,c_291840]) ).
tff(c_587353,plain,
m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))),
inference(demodulation,[status(thm),theory(equality)],[c_586491,c_291849]) ).
tff(c_160,plain,
! [A_100,B_101] :
( r2_hidden(A_100,B_101)
| v1_xboole_0(B_101)
| ~ m1_subset_1(A_100,B_101) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_925,plain,
! [A_237,C_238,B_239,D_240] :
( r2_hidden(A_237,C_238)
| ~ r2_hidden(k4_tarski(A_237,B_239),k2_zfmisc_1(C_238,D_240)) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_592264,plain,
! [A_168815,C_168816,D_168817,B_168818] :
( r2_hidden(A_168815,C_168816)
| v1_xboole_0(k2_zfmisc_1(C_168816,D_168817))
| ~ m1_subset_1(k4_tarski(A_168815,B_168818),k2_zfmisc_1(C_168816,D_168817)) ),
inference(resolution,[status(thm)],[c_160,c_925]) ).
tff(c_592270,plain,
( r2_hidden('#skF_1',u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))) ),
inference(resolution,[status(thm)],[c_587353,c_592264]) ).
tff(c_592274,plain,
r2_hidden('#skF_1',u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))),
inference(negUnitSimplification,[status(thm)],[c_586490,c_592270]) ).
tff(c_587981,plain,
! [A_168541,B_168542] :
( ( k2_xboole_0(u1_struct_0(A_168541),u1_struct_0(B_168542)) = u1_struct_0(k1_latsum_1(A_168541,B_168542)) )
| ~ l1_orders_2(k1_latsum_1(A_168541,B_168542))
| ~ v1_orders_2(k1_latsum_1(A_168541,B_168542))
| ~ l1_orders_2(B_168542)
| ~ l1_orders_2(A_168541) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_34,plain,
! [D_24,B_20,A_19] :
( r2_hidden(D_24,B_20)
| r2_hidden(D_24,A_19)
| ~ r2_hidden(D_24,k2_xboole_0(A_19,B_20)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_871914,plain,
! [D_251443,B_251444,A_251445] :
( r2_hidden(D_251443,u1_struct_0(B_251444))
| r2_hidden(D_251443,u1_struct_0(A_251445))
| ~ r2_hidden(D_251443,u1_struct_0(k1_latsum_1(A_251445,B_251444)))
| ~ l1_orders_2(k1_latsum_1(A_251445,B_251444))
| ~ v1_orders_2(k1_latsum_1(A_251445,B_251444))
| ~ l1_orders_2(B_251444)
| ~ l1_orders_2(A_251445) ),
inference(superposition,[status(thm),theory(equality)],[c_587981,c_34]) ).
tff(c_872355,plain,
( r2_hidden('#skF_1',u1_struct_0('#skF_4'))
| r2_hidden('#skF_1',u1_struct_0('#skF_3'))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4'))
| ~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4'))
| ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_592274,c_871914]) ).
tff(c_872512,plain,
( r2_hidden('#skF_1',u1_struct_0('#skF_4'))
| r2_hidden('#skF_1',u1_struct_0('#skF_3'))
| ~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_586491,c_872355]) ).
tff(c_872513,plain,
~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_275,c_362,c_872512]) ).
tff(c_872543,plain,
( ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_76,c_872513]) ).
tff(c_872547,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_872543]) ).
tff(c_872548,plain,
~ r2_hidden('#skF_2',u1_struct_0('#skF_4')),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_26,plain,
! [B_11,A_10] : ( k3_xboole_0(B_11,A_10) = k3_xboole_0(A_10,B_11) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_10,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_179,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0('#skF_4'),u1_struct_0('#skF_3')),'#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_10]) ).
tff(c_8,plain,
m1_subset_1(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),k1_zfmisc_1(u1_struct_0('#skF_3'))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_180,plain,
m1_subset_1(k3_xboole_0(u1_struct_0('#skF_4'),u1_struct_0('#skF_3')),k1_zfmisc_1(u1_struct_0('#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_8]) ).
tff(c_872549,plain,
r2_hidden('#skF_1',u1_struct_0('#skF_4')),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_883776,plain,
! [D_252511,B_252512,C_252513,A_252514] :
( r2_hidden(D_252511,u1_struct_0(B_252512))
| ~ r2_hidden(C_252513,u1_struct_0(B_252512))
| ~ r2_hidden(k4_tarski(C_252513,D_252511),u1_orders_2(k1_latsum_1(A_252514,B_252512)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(A_252514),u1_struct_0(B_252512)),k1_zfmisc_1(u1_struct_0(A_252514)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(A_252514),u1_struct_0(B_252512)),A_252514)
| ~ l1_orders_2(B_252512)
| ~ l1_orders_2(A_252514) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_883781,plain,
( r2_hidden('#skF_2',u1_struct_0('#skF_4'))
| ~ r2_hidden('#skF_1',u1_struct_0('#skF_4'))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),k1_zfmisc_1(u1_struct_0('#skF_3')))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),'#skF_3')
| ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_12,c_883776]) ).
tff(c_883785,plain,
r2_hidden('#skF_2',u1_struct_0('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_179,c_26,c_180,c_26,c_872549,c_883781]) ).
tff(c_883787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_872548,c_883785]) ).
tff(c_883788,plain,
~ r2_hidden('#skF_2',u1_struct_0('#skF_3')),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_885998,plain,
! [D_252886,A_252887,B_252888] :
( r2_hidden(D_252886,k4_xboole_0(A_252887,B_252888))
| r2_hidden(D_252886,B_252888)
| ~ r2_hidden(D_252886,A_252887) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_883809,plain,
~ r2_hidden('#skF_1',u1_struct_0('#skF_4')),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_883789,plain,
r2_hidden('#skF_1',u1_struct_0('#skF_3')),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_884899,plain,
! [D_252707,A_252708,B_252709] :
( r2_hidden(D_252707,k4_xboole_0(A_252708,B_252709))
| r2_hidden(D_252707,B_252709)
| ~ r2_hidden(D_252707,A_252708) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_2,plain,
( ~ r2_hidden('#skF_2',k4_xboole_0(u1_struct_0('#skF_4'),u1_struct_0('#skF_3')))
| ~ r2_hidden('#skF_1',k4_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4'))) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_883893,plain,
~ r2_hidden('#skF_1',k4_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4'))),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_884935,plain,
( r2_hidden('#skF_1',u1_struct_0('#skF_4'))
| ~ r2_hidden('#skF_1',u1_struct_0('#skF_3')) ),
inference(resolution,[status(thm)],[c_884899,c_883893]) ).
tff(c_884963,plain,
r2_hidden('#skF_1',u1_struct_0('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_883789,c_884935]) ).
tff(c_884965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_883809,c_884963]) ).
tff(c_884966,plain,
~ r2_hidden('#skF_2',k4_xboole_0(u1_struct_0('#skF_4'),u1_struct_0('#skF_3'))),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_886034,plain,
( r2_hidden('#skF_2',u1_struct_0('#skF_3'))
| ~ r2_hidden('#skF_2',u1_struct_0('#skF_4')) ),
inference(resolution,[status(thm)],[c_885998,c_884966]) ).
tff(c_886062,plain,
~ r2_hidden('#skF_2',u1_struct_0('#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_883788,c_886034]) ).
tff(c_885530,plain,
! [C_252802,A_252803,B_252804] :
( m1_subset_1(C_252802,k1_zfmisc_1(k2_zfmisc_1(A_252803,B_252804)))
| ~ m2_relset_1(C_252802,A_252803,B_252804) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_885630,plain,
! [C_252831,A_252832,B_252833] :
( r1_tarski(C_252831,k2_zfmisc_1(A_252832,B_252833))
| ~ m2_relset_1(C_252831,A_252832,B_252833) ),
inference(resolution,[status(thm)],[c_885530,c_164]) ).
tff(c_885519,plain,
! [C_252799,B_252800,A_252801] :
( ~ v1_xboole_0(C_252799)
| ~ m1_subset_1(B_252800,k1_zfmisc_1(C_252799))
| ~ r2_hidden(A_252801,B_252800) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_885575,plain,
! [B_252818,A_252819,A_252820] :
( ~ v1_xboole_0(B_252818)
| ~ r2_hidden(A_252819,A_252820)
| ~ r1_tarski(A_252820,B_252818) ),
inference(resolution,[status(thm)],[c_166,c_885519]) ).
tff(c_885593,plain,
! [B_252818] :
( ~ v1_xboole_0(B_252818)
| ~ r1_tarski(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),B_252818) ),
inference(resolution,[status(thm)],[c_12,c_885575]) ).
tff(c_886134,plain,
! [A_252906,B_252907] :
( ~ v1_xboole_0(k2_zfmisc_1(A_252906,B_252907))
| ~ m2_relset_1(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),A_252906,B_252907) ),
inference(resolution,[status(thm)],[c_885630,c_885593]) ).
tff(c_886143,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_106,c_886134]) ).
tff(c_1435719,plain,
~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_886143]) ).
tff(c_1435722,plain,
( ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_74,c_1435719]) ).
tff(c_1435726,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_1435722]) ).
tff(c_1435728,plain,
l1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_886143]) ).
tff(c_1435727,plain,
~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))),
inference(splitRight,[status(thm)],[c_886143]) ).
tff(c_885541,plain,
! [C_252802,A_252803,B_252804] :
( r1_tarski(C_252802,k2_zfmisc_1(A_252803,B_252804))
| ~ m2_relset_1(C_252802,A_252803,B_252804) ),
inference(resolution,[status(thm)],[c_885530,c_164]) ).
tff(c_885656,plain,
! [A_252836,C_252837,B_252838] :
( m1_subset_1(A_252836,C_252837)
| ~ m1_subset_1(B_252838,k1_zfmisc_1(C_252837))
| ~ r2_hidden(A_252836,B_252838) ),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_885676,plain,
! [A_252841,B_252842,A_252843] :
( m1_subset_1(A_252841,B_252842)
| ~ r2_hidden(A_252841,A_252843)
| ~ r1_tarski(A_252843,B_252842) ),
inference(resolution,[status(thm)],[c_166,c_885656]) ).
tff(c_885707,plain,
! [B_252845] :
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),B_252845)
| ~ r1_tarski(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),B_252845) ),
inference(resolution,[status(thm)],[c_12,c_885676]) ).
tff(c_886324,plain,
! [A_252946,B_252947] :
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(A_252946,B_252947))
| ~ m2_relset_1(u1_orders_2(k1_latsum_1('#skF_3','#skF_4')),A_252946,B_252947) ),
inference(resolution,[status(thm)],[c_885541,c_885707]) ).
tff(c_886333,plain,
( m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_106,c_886324]) ).
tff(c_1437274,plain,
m1_subset_1(k4_tarski('#skF_1','#skF_2'),k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))),
inference(demodulation,[status(thm),theory(equality)],[c_1435728,c_886333]) ).
tff(c_885594,plain,
! [B_252821,D_252822,A_252823,C_252824] :
( r2_hidden(B_252821,D_252822)
| ~ r2_hidden(k4_tarski(A_252823,B_252821),k2_zfmisc_1(C_252824,D_252822)) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_1441130,plain,
! [B_424309,D_424310,C_424311,A_424312] :
( r2_hidden(B_424309,D_424310)
| v1_xboole_0(k2_zfmisc_1(C_424311,D_424310))
| ~ m1_subset_1(k4_tarski(A_424312,B_424309),k2_zfmisc_1(C_424311,D_424310)) ),
inference(resolution,[status(thm)],[c_160,c_885594]) ).
tff(c_1441136,plain,
( r2_hidden('#skF_2',u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1('#skF_3','#skF_4')),u1_struct_0(k1_latsum_1('#skF_3','#skF_4')))) ),
inference(resolution,[status(thm)],[c_1437274,c_1441130]) ).
tff(c_1441140,plain,
r2_hidden('#skF_2',u1_struct_0(k1_latsum_1('#skF_3','#skF_4'))),
inference(negUnitSimplification,[status(thm)],[c_1435727,c_1441136]) ).
tff(c_1436512,plain,
! [A_424027,B_424028] :
( ( k2_xboole_0(u1_struct_0(A_424027),u1_struct_0(B_424028)) = u1_struct_0(k1_latsum_1(A_424027,B_424028)) )
| ~ l1_orders_2(k1_latsum_1(A_424027,B_424028))
| ~ v1_orders_2(k1_latsum_1(A_424027,B_424028))
| ~ l1_orders_2(B_424028)
| ~ l1_orders_2(A_424027) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_1703051,plain,
! [D_509482,B_509483,A_509484] :
( r2_hidden(D_509482,u1_struct_0(B_509483))
| r2_hidden(D_509482,u1_struct_0(A_509484))
| ~ r2_hidden(D_509482,u1_struct_0(k1_latsum_1(A_509484,B_509483)))
| ~ l1_orders_2(k1_latsum_1(A_509484,B_509483))
| ~ v1_orders_2(k1_latsum_1(A_509484,B_509483))
| ~ l1_orders_2(B_509483)
| ~ l1_orders_2(A_509484) ),
inference(superposition,[status(thm),theory(equality)],[c_1436512,c_34]) ).
tff(c_1703451,plain,
( r2_hidden('#skF_2',u1_struct_0('#skF_4'))
| r2_hidden('#skF_2',u1_struct_0('#skF_3'))
| ~ l1_orders_2(k1_latsum_1('#skF_3','#skF_4'))
| ~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4'))
| ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_1441140,c_1703051]) ).
tff(c_1703618,plain,
( r2_hidden('#skF_2',u1_struct_0('#skF_4'))
| r2_hidden('#skF_2',u1_struct_0('#skF_3'))
| ~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_1435728,c_1703451]) ).
tff(c_1703619,plain,
~ v1_orders_2(k1_latsum_1('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_883788,c_886062,c_1703618]) ).
tff(c_1703651,plain,
( ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_76,c_1703619]) ).
tff(c_1703655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_1703651]) ).
tff(c_1703656,plain,
~ r2_hidden('#skF_2',u1_struct_0('#skF_4')),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_1703657,plain,
r2_hidden('#skF_1',u1_struct_0('#skF_4')),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_1714532,plain,
! [D_510570,B_510571,C_510572,A_510573] :
( r2_hidden(D_510570,u1_struct_0(B_510571))
| ~ r2_hidden(C_510572,u1_struct_0(B_510571))
| ~ r2_hidden(k4_tarski(C_510572,D_510570),u1_orders_2(k1_latsum_1(A_510573,B_510571)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(A_510573),u1_struct_0(B_510571)),k1_zfmisc_1(u1_struct_0(A_510573)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(A_510573),u1_struct_0(B_510571)),A_510573)
| ~ l1_orders_2(B_510571)
| ~ l1_orders_2(A_510573) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_1714537,plain,
( r2_hidden('#skF_2',u1_struct_0('#skF_4'))
| ~ r2_hidden('#skF_1',u1_struct_0('#skF_4'))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),k1_zfmisc_1(u1_struct_0('#skF_3')))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0('#skF_3'),u1_struct_0('#skF_4')),'#skF_3')
| ~ l1_orders_2('#skF_4')
| ~ l1_orders_2('#skF_3') ),
inference(resolution,[status(thm)],[c_12,c_1714532]) ).
tff(c_1714541,plain,
r2_hidden('#skF_2',u1_struct_0('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_179,c_26,c_180,c_26,c_1703657,c_1714537]) ).
tff(c_1714543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1703656,c_1714541]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU412+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/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
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 11:23:56 EDT 2023
% 0.13/0.33 % CPUTime :
% 176.80/140.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 176.80/140.48
% 176.80/140.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 176.89/140.52
% 176.89/140.52 Inference rules
% 176.89/140.52 ----------------------
% 176.89/140.52 #Ref : 32
% 176.89/140.52 #Sup : 255196
% 176.89/140.52 #Fact : 154
% 176.89/140.52 #Define : 0
% 176.89/140.52 #Split : 368
% 176.89/140.52 #Chain : 0
% 176.89/140.52 #Close : 0
% 176.89/140.52
% 176.89/140.52 Ordering : KBO
% 176.89/140.52
% 176.89/140.52 Simplification rules
% 176.89/140.52 ----------------------
% 176.89/140.52 #Subsume : 84197
% 176.89/140.52 #Demod : 27154
% 176.89/140.52 #Tautology : 10837
% 176.89/140.52 #SimpNegUnit : 5702
% 176.89/140.52 #BackRed : 674
% 176.89/140.52
% 176.89/140.52 #Partial instantiations: 333368
% 176.89/140.52 #Strategies tried : 1
% 176.89/140.52
% 176.89/140.52 Timing (in seconds)
% 176.89/140.52 ----------------------
% 176.89/140.52 Preprocessing : 0.62
% 176.89/140.52 Parsing : 0.31
% 176.89/140.52 CNF conversion : 0.05
% 176.89/140.52 Main loop : 138.86
% 176.89/140.52 Inferencing : 18.19
% 176.89/140.52 Reduction : 45.30
% 176.89/140.52 Demodulation : 33.90
% 176.89/140.52 BG Simplification : 1.34
% 176.89/140.52 Subsumption : 68.85
% 176.89/140.52 Abstraction : 1.56
% 176.89/140.52 MUC search : 0.00
% 176.89/140.52 Cooper : 0.00
% 176.89/140.52 Total : 139.54
% 176.89/140.52 Index Insertion : 0.00
% 176.89/140.52 Index Deletion : 0.00
% 176.89/140.52 Index Matching : 0.00
% 176.89/140.52 BG Taut test : 0.00
%------------------------------------------------------------------------------