TSTP Solution File: LAT351+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT351+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 : 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 10:46:57 EDT 2023
% Result : Theorem 30.93s 16.53s
% Output : CNFRefutation 30.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 103
% Syntax : Number of formulae : 163 ( 39 unt; 91 typ; 0 def)
% Number of atoms : 333 ( 16 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 436 ( 175 ~; 166 |; 85 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 93 ( 70 >; 23 *; 0 +; 0 <<)
% Number of predicates : 44 ( 42 usr; 1 prp; 0-3 aty)
% Number of functors : 49 ( 49 usr; 21 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_relset_1 > m1_relset_1 > v2_waybel_0 > v13_waybel_0 > r5_waybel_1 > r2_hidden > r1_waybel22 > r1_tarski > m1_subset_1 > v9_waybel_1 > v4_orders_2 > v3_yellow_0 > v3_waybel_8 > v3_waybel_3 > v3_struct_0 > v3_realset2 > v3_orders_2 > v3_lattice3 > v2_yellow_0 > v2_waybel_8 > v2_waybel_3 > v2_waybel_1 > v2_orders_2 > v2_lattice3 > v2_funct_1 > v25_waybel_0 > v24_waybel_0 > v1_yellow_0 > v1_xboole_0 > v1_waybel_8 > v1_waybel_5 > v1_setfam_1 > v1_relat_1 > v1_orders_2 > v1_lattice3 > v1_funct_1 > v1_card_1 > v16_waybel_0 > v11_waybel_1 > v10_waybel_1 > l1_struct_0 > l1_orders_2 > k7_waybel_0 > k5_waybel_0 > k2_zfmisc_1 > k1_struct_0 > g1_orders_2 > #nlpp > u1_struct_0 > u1_orders_2 > k9_waybel_0 > k3_yellow_1 > k2_yellow_1 > k1_zfmisc_1 > k1_waybel22 > k1_tarski > k1_card_1 > a_1_1_waybel_0 > a_1_0_waybel22 > k1_xboole_0 > #skF_25 > #skF_7 > #skF_11 > #skF_6 > #skF_20 > #skF_18 > #skF_17 > #skF_15 > #skF_32 > #skF_19 > #skF_31 > #skF_16 > #skF_26 > #skF_14 > #skF_5 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_21 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_24 > #skF_27 > #skF_23 > #skF_12 > #skF_9 > #skF_30
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v1_orders_2,type,
v1_orders_2: $i > $o ).
tff(v11_waybel_1,type,
v11_waybel_1: $i > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v3_orders_2,type,
v3_orders_2: $i > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v16_waybel_0,type,
v16_waybel_0: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(a_1_1_waybel_0,type,
a_1_1_waybel_0: $i > $i ).
tff(v3_yellow_0,type,
v3_yellow_0: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r1_waybel22,type,
r1_waybel22: ( $i * $i ) > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(k1_tarski,type,
k1_tarski: $i > $i ).
tff(k1_struct_0,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(k3_yellow_1,type,
k3_yellow_1: $i > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(k1_waybel22,type,
k1_waybel22: $i > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v10_waybel_1,type,
v10_waybel_1: $i > $o ).
tff(v2_waybel_0,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff(v3_waybel_3,type,
v3_waybel_3: $i > $o ).
tff(k2_yellow_1,type,
k2_yellow_1: $i > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(v1_card_1,type,
v1_card_1: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff(v1_waybel_5,type,
v1_waybel_5: $i > $o ).
tff(v3_lattice3,type,
v3_lattice3: $i > $o ).
tff(v2_waybel_1,type,
v2_waybel_1: $i > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v1_waybel_8,type,
v1_waybel_8: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(g1_orders_2,type,
g1_orders_2: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(v1_lattice3,type,
v1_lattice3: $i > $o ).
tff(v1_setfam_1,type,
v1_setfam_1: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(r5_waybel_1,type,
r5_waybel_1: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v2_yellow_0,type,
v2_yellow_0: $i > $o ).
tff(k7_waybel_0,type,
k7_waybel_0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(k9_waybel_0,type,
k9_waybel_0: $i > $i ).
tff(v3_realset2,type,
v3_realset2: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v2_waybel_3,type,
v2_waybel_3: $i > $o ).
tff(v4_orders_2,type,
v4_orders_2: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(v3_waybel_8,type,
v3_waybel_8: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(k5_waybel_0,type,
k5_waybel_0: ( $i * $i ) > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(v2_orders_2,type,
v2_orders_2: $i > $o ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(l1_orders_2,type,
l1_orders_2: $i > $o ).
tff(v9_waybel_1,type,
v9_waybel_1: $i > $o ).
tff(a_1_0_waybel22,type,
a_1_0_waybel22: $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_22',type,
'#skF_22': $i ).
tff(v2_waybel_8,type,
v2_waybel_8: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v25_waybel_0,type,
v25_waybel_0: $i > $o ).
tff(v13_waybel_0,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(v2_lattice3,type,
v2_lattice3: $i > $o ).
tff(k1_card_1,type,
k1_card_1: $i > $i ).
tff(u1_orders_2,type,
u1_orders_2: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v24_waybel_0,type,
v24_waybel_0: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff(v1_yellow_0,type,
v1_yellow_0: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_53,negated_conjecture,
~ ! [A,B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& v3_waybel_3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( r1_waybel22(B,C)
& ( k1_card_1(C) = k1_card_1(A) ) )
=> r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
tff(f_847,axiom,
! [A] :
( ~ v3_struct_0(k3_yellow_1(A))
& v1_orders_2(k3_yellow_1(A))
& v2_orders_2(k3_yellow_1(A))
& v3_orders_2(k3_yellow_1(A))
& v4_orders_2(k3_yellow_1(A))
& v1_lattice3(k3_yellow_1(A))
& v2_lattice3(k3_yellow_1(A))
& v3_lattice3(k3_yellow_1(A))
& v1_yellow_0(k3_yellow_1(A))
& v2_yellow_0(k3_yellow_1(A))
& v3_yellow_0(k3_yellow_1(A))
& v24_waybel_0(k3_yellow_1(A))
& v25_waybel_0(k3_yellow_1(A))
& v2_waybel_1(k3_yellow_1(A))
& v9_waybel_1(k3_yellow_1(A))
& v10_waybel_1(k3_yellow_1(A))
& v11_waybel_1(k3_yellow_1(A))
& v2_waybel_3(k3_yellow_1(A))
& v3_waybel_3(k3_yellow_1(A))
& v1_waybel_8(k3_yellow_1(A))
& v2_waybel_8(k3_yellow_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
tff(f_641,axiom,
! [A] :
( v1_orders_2(k3_yellow_1(A))
& l1_orders_2(k3_yellow_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
tff(f_611,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& l1_orders_2(A) )
=> ( k9_waybel_0(A) = a_1_1_waybel_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d24_waybel_0) ).
tff(f_989,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v2_lattice3(A)
& v2_yellow_0(A)
& l1_orders_2(A) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
tff(f_637,axiom,
! [A] :
( v1_orders_2(k2_yellow_1(A))
& l1_orders_2(k2_yellow_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
tff(f_274,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v3_lattice3(A) )
=> ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
tff(f_935,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v2_yellow_0(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
tff(f_613,axiom,
! [A] : ( k1_waybel22(A) = a_1_0_waybel22(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel22) ).
tff(f_1393,axiom,
! [A] : ( k1_card_1(k1_waybel22(A)) = k1_card_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
tff(f_1395,axiom,
! [A] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),k1_waybel22(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel22) ).
tff(f_1437,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& v3_waybel_3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& v3_waybel_3(B)
& l1_orders_2(B) )
=> ! [C,D] :
( ( r1_waybel22(A,C)
& r1_waybel22(B,D)
& ( k1_card_1(C) = k1_card_1(D) ) )
=> r5_waybel_1(A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_waybel22) ).
tff(c_22,plain,
v2_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_20,plain,
v3_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_18,plain,
v4_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_16,plain,
v1_lattice3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_14,plain,
v2_lattice3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_12,plain,
v3_lattice3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10,plain,
v3_waybel_3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_8,plain,
l1_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_6,plain,
r1_waybel22('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_406,plain,
! [A_77] : v2_orders_2(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_408,plain,
! [A_77] : v3_orders_2(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_410,plain,
! [A_77] : v4_orders_2(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_414,plain,
! [A_77] : v2_lattice3(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_420,plain,
! [A_77] : v2_yellow_0(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_312,plain,
! [A_50] : l1_orders_2(k3_yellow_1(A_50)),
inference(cnfTransformation,[status(thm)],[f_641]) ).
tff(c_40877,plain,
! [A_1547] :
( ( k9_waybel_0(A_1547) = a_1_1_waybel_0(A_1547) )
| ~ l1_orders_2(A_1547)
| ~ v3_orders_2(A_1547)
| ~ v2_orders_2(A_1547)
| v3_struct_0(A_1547) ),
inference(cnfTransformation,[status(thm)],[f_611]) ).
tff(c_402,plain,
! [A_77] : ~ v3_struct_0(k3_yellow_1(A_77)),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_40901,plain,
! [A_77] :
( ( k9_waybel_0(k3_yellow_1(A_77)) = a_1_1_waybel_0(k3_yellow_1(A_77)) )
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(resolution,[status(thm)],[c_40877,c_402]) ).
tff(c_40942,plain,
! [A_77] : ( k9_waybel_0(k3_yellow_1(A_77)) = a_1_1_waybel_0(k3_yellow_1(A_77)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_312,c_40901]) ).
tff(c_46075,plain,
! [A_1643] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(A_1643)))
| ~ l1_orders_2(A_1643)
| ~ v2_yellow_0(A_1643)
| ~ v2_lattice3(A_1643)
| ~ v4_orders_2(A_1643)
| ~ v3_orders_2(A_1643)
| ~ v2_orders_2(A_1643) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_46096,plain,
! [A_77] :
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_46075]) ).
tff(c_46140,plain,
! [A_77] : v2_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77)))),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_414,c_420,c_312,c_46096]) ).
tff(c_48478,plain,
! [A_1666] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(A_1666)))
| ~ l1_orders_2(A_1666)
| ~ v2_yellow_0(A_1666)
| ~ v2_lattice3(A_1666)
| ~ v4_orders_2(A_1666)
| ~ v3_orders_2(A_1666)
| ~ v2_orders_2(A_1666) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_48481,plain,
! [A_77] :
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_48478]) ).
tff(c_48507,plain,
! [A_77] : v3_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77)))),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_414,c_420,c_312,c_48481]) ).
tff(c_47763,plain,
! [A_1659] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(A_1659)))
| ~ l1_orders_2(A_1659)
| ~ v2_yellow_0(A_1659)
| ~ v2_lattice3(A_1659)
| ~ v4_orders_2(A_1659)
| ~ v3_orders_2(A_1659)
| ~ v2_orders_2(A_1659) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_47790,plain,
! [A_77] :
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_47763]) ).
tff(c_47840,plain,
! [A_77] : v4_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77)))),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_414,c_420,c_312,c_47790]) ).
tff(c_306,plain,
! [A_49] : l1_orders_2(k2_yellow_1(A_49)),
inference(cnfTransformation,[status(thm)],[f_637]) ).
tff(c_46481,plain,
! [A_1644] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(A_1644)))
| ~ l1_orders_2(A_1644)
| ~ v2_yellow_0(A_1644)
| ~ v2_lattice3(A_1644)
| ~ v4_orders_2(A_1644)
| ~ v3_orders_2(A_1644)
| ~ v2_orders_2(A_1644) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_46514,plain,
! [A_77] :
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_46481]) ).
tff(c_46570,plain,
! [A_77] : v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77)))),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_414,c_420,c_312,c_46514]) ).
tff(c_112,plain,
! [A_22] :
( v1_lattice3(A_22)
| ~ v3_lattice3(A_22)
| v3_struct_0(A_22)
| ~ l1_orders_2(A_22) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_45489,plain,
! [A_1642] :
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A_1642)))
| ~ l1_orders_2(A_1642)
| ~ v2_yellow_0(A_1642)
| ~ v2_lattice3(A_1642)
| ~ v4_orders_2(A_1642)
| ~ v3_orders_2(A_1642)
| ~ v2_orders_2(A_1642) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_45492,plain,
! [A_77] :
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_45489]) ).
tff(c_47496,plain,
! [A_1650] : ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650)))),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_414,c_420,c_312,c_45492]) ).
tff(c_47538,plain,
! [A_1650] :
( v1_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650))))
| ~ v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650))))
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650)))) ),
inference(resolution,[status(thm)],[c_112,c_47496]) ).
tff(c_47592,plain,
! [A_1650] : v1_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650)))),
inference(demodulation,[status(thm),theory(equality)],[c_306,c_46570,c_47538]) ).
tff(c_110,plain,
! [A_22] :
( v2_lattice3(A_22)
| ~ v3_lattice3(A_22)
| v3_struct_0(A_22)
| ~ l1_orders_2(A_22) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_47535,plain,
! [A_1650] :
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650))))
| ~ v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650))))
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650)))) ),
inference(resolution,[status(thm)],[c_110,c_47496]) ).
tff(c_47589,plain,
! [A_1650] : v2_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1650)))),
inference(demodulation,[status(thm),theory(equality)],[c_306,c_46570,c_47535]) ).
tff(c_57605,plain,
! [A_1769] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(A_1769)))
| ~ l1_orders_2(A_1769)
| ~ v2_lattice3(A_1769)
| ~ v2_yellow_0(A_1769)
| ~ v4_orders_2(A_1769)
| ~ v3_orders_2(A_1769)
| ~ v2_orders_2(A_1769)
| v3_struct_0(A_1769) ),
inference(cnfTransformation,[status(thm)],[f_935]) ).
tff(c_57611,plain,
! [A_77] :
( v3_waybel_3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| ~ l1_orders_2(k3_yellow_1(A_77))
| ~ v2_lattice3(k3_yellow_1(A_77))
| ~ v2_yellow_0(k3_yellow_1(A_77))
| ~ v4_orders_2(k3_yellow_1(A_77))
| ~ v3_orders_2(k3_yellow_1(A_77))
| ~ v2_orders_2(k3_yellow_1(A_77))
| v3_struct_0(k3_yellow_1(A_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_40942,c_57605]) ).
tff(c_57640,plain,
! [A_77] :
( v3_waybel_3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77))))
| v3_struct_0(k3_yellow_1(A_77)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_408,c_410,c_420,c_414,c_312,c_57611]) ).
tff(c_57641,plain,
! [A_77] : v3_waybel_3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_77)))),
inference(negUnitSimplification,[status(thm)],[c_402,c_57640]) ).
tff(c_286,plain,
! [A_42] : ( k1_waybel22(A_42) = a_1_0_waybel22(A_42) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_802,plain,
! [A_139] : ( k1_card_1(k1_waybel22(A_139)) = k1_card_1(A_139) ),
inference(cnfTransformation,[status(thm)],[f_1393]) ).
tff(c_835,plain,
! [A_139] : ( k1_card_1(a_1_0_waybel22(A_139)) = k1_card_1(A_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_802]) ).
tff(c_804,plain,
! [A_140] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A_140))),k1_waybel22(A_140)),
inference(cnfTransformation,[status(thm)],[f_1395]) ).
tff(c_836,plain,
! [A_140] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A_140))),a_1_0_waybel22(A_140)),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_804]) ).
tff(c_41112,plain,
! [A_140] : r1_waybel22(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))),a_1_0_waybel22(A_140)),
inference(demodulation,[status(thm),theory(equality)],[c_40942,c_836]) ).
tff(c_4,plain,
k1_card_1('#skF_3') = k1_card_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_58701,plain,
! [A_1798,B_1799,D_1800,C_1801] :
( r5_waybel_1(A_1798,B_1799)
| ( k1_card_1(D_1800) != k1_card_1(C_1801) )
| ~ r1_waybel22(B_1799,D_1800)
| ~ r1_waybel22(A_1798,C_1801)
| ~ l1_orders_2(B_1799)
| ~ v3_waybel_3(B_1799)
| ~ v3_lattice3(B_1799)
| ~ v2_lattice3(B_1799)
| ~ v1_lattice3(B_1799)
| ~ v4_orders_2(B_1799)
| ~ v3_orders_2(B_1799)
| ~ v2_orders_2(B_1799)
| ~ l1_orders_2(A_1798)
| ~ v3_waybel_3(A_1798)
| ~ v3_lattice3(A_1798)
| ~ v2_lattice3(A_1798)
| ~ v1_lattice3(A_1798)
| ~ v4_orders_2(A_1798)
| ~ v3_orders_2(A_1798)
| ~ v2_orders_2(A_1798) ),
inference(cnfTransformation,[status(thm)],[f_1437]) ).
tff(c_58713,plain,
! [A_1802,B_1803,D_1804] :
( r5_waybel_1(A_1802,B_1803)
| ( k1_card_1(D_1804) != k1_card_1('#skF_1') )
| ~ r1_waybel22(B_1803,D_1804)
| ~ r1_waybel22(A_1802,'#skF_3')
| ~ l1_orders_2(B_1803)
| ~ v3_waybel_3(B_1803)
| ~ v3_lattice3(B_1803)
| ~ v2_lattice3(B_1803)
| ~ v1_lattice3(B_1803)
| ~ v4_orders_2(B_1803)
| ~ v3_orders_2(B_1803)
| ~ v2_orders_2(B_1803)
| ~ l1_orders_2(A_1802)
| ~ v3_waybel_3(A_1802)
| ~ v3_lattice3(A_1802)
| ~ v2_lattice3(A_1802)
| ~ v1_lattice3(A_1802)
| ~ v4_orders_2(A_1802)
| ~ v3_orders_2(A_1802)
| ~ v2_orders_2(A_1802) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58701]) ).
tff(c_58715,plain,
! [A_1802,A_140] :
( r5_waybel_1(A_1802,k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ( k1_card_1(a_1_0_waybel22(A_140)) != k1_card_1('#skF_1') )
| ~ r1_waybel22(A_1802,'#skF_3')
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v3_waybel_3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v2_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v1_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v4_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v3_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ v2_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_140))))
| ~ l1_orders_2(A_1802)
| ~ v3_waybel_3(A_1802)
| ~ v3_lattice3(A_1802)
| ~ v2_lattice3(A_1802)
| ~ v1_lattice3(A_1802)
| ~ v4_orders_2(A_1802)
| ~ v3_orders_2(A_1802)
| ~ v2_orders_2(A_1802) ),
inference(resolution,[status(thm)],[c_41112,c_58713]) ).
tff(c_59782,plain,
! [A_1817,A_1818] :
( r5_waybel_1(A_1817,k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(A_1818))))
| ( k1_card_1(A_1818) != k1_card_1('#skF_1') )
| ~ r1_waybel22(A_1817,'#skF_3')
| ~ l1_orders_2(A_1817)
| ~ v3_waybel_3(A_1817)
| ~ v3_lattice3(A_1817)
| ~ v2_lattice3(A_1817)
| ~ v1_lattice3(A_1817)
| ~ v4_orders_2(A_1817)
| ~ v3_orders_2(A_1817)
| ~ v2_orders_2(A_1817) ),
inference(demodulation,[status(thm),theory(equality)],[c_46140,c_48507,c_47840,c_47592,c_47589,c_46570,c_57641,c_306,c_835,c_58715]) ).
tff(c_2,plain,
~ r5_waybel_1('#skF_2',k2_yellow_1(k9_waybel_0(k3_yellow_1('#skF_1')))),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_41113,plain,
~ r5_waybel_1('#skF_2',k2_yellow_1(a_1_1_waybel_0(k3_yellow_1('#skF_1')))),
inference(demodulation,[status(thm),theory(equality)],[c_40942,c_2]) ).
tff(c_59785,plain,
( ~ r1_waybel22('#skF_2','#skF_3')
| ~ l1_orders_2('#skF_2')
| ~ v3_waybel_3('#skF_2')
| ~ v3_lattice3('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2') ),
inference(resolution,[status(thm)],[c_59782,c_41113]) ).
tff(c_59789,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_18,c_16,c_14,c_12,c_10,c_8,c_6,c_59785]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT351+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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 13:13:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 30.93/16.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.93/16.55
% 30.93/16.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 30.93/16.58
% 30.93/16.58 Inference rules
% 30.93/16.58 ----------------------
% 30.93/16.58 #Ref : 9
% 30.93/16.58 #Sup : 10852
% 30.93/16.58 #Fact : 0
% 30.93/16.58 #Define : 0
% 30.93/16.58 #Split : 270
% 30.93/16.58 #Chain : 0
% 30.93/16.58 #Close : 0
% 30.93/16.58
% 30.93/16.58 Ordering : KBO
% 30.93/16.58
% 30.93/16.58 Simplification rules
% 30.93/16.58 ----------------------
% 30.93/16.58 #Subsume : 2799
% 30.93/16.58 #Demod : 21347
% 30.93/16.58 #Tautology : 2452
% 30.93/16.58 #SimpNegUnit : 909
% 30.93/16.58 #BackRed : 60
% 30.93/16.58
% 30.93/16.58 #Partial instantiations: 0
% 30.93/16.58 #Strategies tried : 1
% 30.93/16.58
% 30.93/16.58 Timing (in seconds)
% 30.93/16.58 ----------------------
% 30.93/16.59 Preprocessing : 1.03
% 30.93/16.59 Parsing : 0.52
% 30.93/16.59 CNF conversion : 0.09
% 30.93/16.59 Main loop : 14.39
% 30.93/16.59 Inferencing : 3.29
% 30.93/16.59 Reduction : 7.63
% 30.93/16.59 Demodulation : 6.14
% 30.93/16.59 BG Simplification : 0.16
% 30.93/16.59 Subsumption : 2.58
% 30.93/16.59 Abstraction : 0.17
% 30.93/16.59 MUC search : 0.00
% 30.93/16.59 Cooper : 0.00
% 30.93/16.59 Total : 15.49
% 30.93/16.59 Index Insertion : 0.00
% 30.93/16.59 Index Deletion : 0.00
% 30.93/16.59 Index Matching : 0.00
% 30.93/16.59 BG Taut test : 0.00
%------------------------------------------------------------------------------