TSTP Solution File: LAT300+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT300+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 : n018.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 10:46:42 EDT 2023
% Result : Theorem 8.50s 2.94s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 72 ( 9 unt; 40 typ; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 131 ( 54 ~; 60 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 30 >; 8 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 43 (; 41 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m1_struct_0 > r2_hidden > r1_tarski > m2_lattice4 > m2_filter_2 > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v3_struct_0 > v1_xboole_0 > v1_funct_1 > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_15 > #skF_8 > #skF_16 > #skF_5 > #skF_10 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_12 > #skF_7
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(m1_struct_0,type,
m1_struct_0: ( $i * $i * $i ) > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(m2_lattice4,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(m2_filter_2,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_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(v7_lattices,type,
v7_lattices: $i > $o ).
tff(f_45,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& r2_hidden(C,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
tff(f_143,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
tff(f_179,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
tff(f_286,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_155,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
tff(f_296,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(c_10,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_8,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_6,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_4,plain,
m2_filter_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_399,plain,
! [B_139,A_140] :
( ~ v1_xboole_0(B_139)
| ~ m2_filter_2(B_139,A_140)
| ~ l3_lattices(A_140)
| ~ v10_lattices(A_140)
| v3_struct_0(A_140) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_405,plain,
( ~ v1_xboole_0('#skF_2')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_399]) ).
tff(c_409,plain,
( ~ v1_xboole_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6,c_405]) ).
tff(c_410,plain,
~ v1_xboole_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_10,c_409]) ).
tff(c_70,plain,
! [A_27] : m1_subset_1('#skF_8'(A_27),A_27),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_114,plain,
! [A_51,B_52] :
( r2_hidden(A_51,B_52)
| v1_xboole_0(B_52)
| ~ m1_subset_1(A_51,B_52) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_52,plain,
! [B_20,A_18] :
( m2_lattice4(B_20,A_18)
| ~ m2_filter_2(B_20,A_18)
| ~ l3_lattices(A_18)
| ~ v10_lattices(A_18)
| v3_struct_0(A_18) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_455,plain,
! [B_155,A_156] :
( m1_subset_1(B_155,k1_zfmisc_1(u1_struct_0(A_156)))
| ~ m2_lattice4(B_155,A_156)
| ~ l3_lattices(A_156)
| ~ v10_lattices(A_156)
| v3_struct_0(A_156) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_120,plain,
! [A_55,C_57,B_56] :
( m1_subset_1(A_55,C_57)
| ~ m1_subset_1(B_56,k1_zfmisc_1(C_57))
| ~ r2_hidden(A_55,B_56) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_1030,plain,
! [A_213,A_214,B_215] :
( m1_subset_1(A_213,u1_struct_0(A_214))
| ~ r2_hidden(A_213,B_215)
| ~ m2_lattice4(B_215,A_214)
| ~ l3_lattices(A_214)
| ~ v10_lattices(A_214)
| v3_struct_0(A_214) ),
inference(resolution,[status(thm)],[c_455,c_120]) ).
tff(c_2347,plain,
! [A_280,A_281,B_282] :
( m1_subset_1(A_280,u1_struct_0(A_281))
| ~ m2_lattice4(B_282,A_281)
| ~ l3_lattices(A_281)
| ~ v10_lattices(A_281)
| v3_struct_0(A_281)
| v1_xboole_0(B_282)
| ~ m1_subset_1(A_280,B_282) ),
inference(resolution,[status(thm)],[c_114,c_1030]) ).
tff(c_3598,plain,
! [A_318,A_319,B_320] :
( m1_subset_1(A_318,u1_struct_0(A_319))
| v1_xboole_0(B_320)
| ~ m1_subset_1(A_318,B_320)
| ~ m2_filter_2(B_320,A_319)
| ~ l3_lattices(A_319)
| ~ v10_lattices(A_319)
| v3_struct_0(A_319) ),
inference(resolution,[status(thm)],[c_52,c_2347]) ).
tff(c_3732,plain,
! [A_323,A_324] :
( m1_subset_1('#skF_8'(A_323),u1_struct_0(A_324))
| v1_xboole_0(A_323)
| ~ m2_filter_2(A_323,A_324)
| ~ l3_lattices(A_324)
| ~ v10_lattices(A_324)
| v3_struct_0(A_324) ),
inference(resolution,[status(thm)],[c_70,c_3598]) ).
tff(c_2,plain,
! [C_5] :
( ~ r2_hidden(C_5,'#skF_2')
| ~ m1_subset_1(C_5,u1_struct_0('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_3740,plain,
! [A_323] :
( ~ r2_hidden('#skF_8'(A_323),'#skF_2')
| v1_xboole_0(A_323)
| ~ m2_filter_2(A_323,'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_3732,c_2]) ).
tff(c_3772,plain,
! [A_323] :
( ~ r2_hidden('#skF_8'(A_323),'#skF_2')
| v1_xboole_0(A_323)
| ~ m2_filter_2(A_323,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6,c_3740]) ).
tff(c_3779,plain,
! [A_325] :
( ~ r2_hidden('#skF_8'(A_325),'#skF_2')
| v1_xboole_0(A_325)
| ~ m2_filter_2(A_325,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_10,c_3772]) ).
tff(c_3809,plain,
! [A_325] :
( v1_xboole_0(A_325)
| ~ m2_filter_2(A_325,'#skF_1')
| v1_xboole_0('#skF_2')
| ~ m1_subset_1('#skF_8'(A_325),'#skF_2') ),
inference(resolution,[status(thm)],[c_114,c_3779]) ).
tff(c_3840,plain,
! [A_327] :
( v1_xboole_0(A_327)
| ~ m2_filter_2(A_327,'#skF_1')
| ~ m1_subset_1('#skF_8'(A_327),'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_410,c_3809]) ).
tff(c_3891,plain,
( v1_xboole_0('#skF_2')
| ~ m2_filter_2('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_70,c_3840]) ).
tff(c_3910,plain,
v1_xboole_0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3891]) ).
tff(c_3912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_3910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % 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
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:43:35 EDT 2023
% 0.21/0.36 % CPUTime :
% 8.50/2.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.50/2.94
% 8.50/2.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.50/2.97
% 8.50/2.97 Inference rules
% 8.50/2.97 ----------------------
% 8.50/2.97 #Ref : 0
% 8.50/2.97 #Sup : 881
% 8.50/2.97 #Fact : 0
% 8.50/2.97 #Define : 0
% 8.50/2.97 #Split : 41
% 8.50/2.97 #Chain : 0
% 8.50/2.97 #Close : 0
% 8.50/2.97
% 8.50/2.97 Ordering : KBO
% 8.50/2.97
% 8.50/2.97 Simplification rules
% 8.50/2.97 ----------------------
% 8.50/2.97 #Subsume : 423
% 8.50/2.97 #Demod : 142
% 8.50/2.97 #Tautology : 82
% 8.50/2.97 #SimpNegUnit : 198
% 8.50/2.97 #BackRed : 8
% 8.50/2.97
% 8.50/2.97 #Partial instantiations: 0
% 8.50/2.97 #Strategies tried : 1
% 8.50/2.97
% 8.50/2.97 Timing (in seconds)
% 8.50/2.97 ----------------------
% 8.50/2.98 Preprocessing : 0.58
% 8.50/2.98 Parsing : 0.32
% 8.50/2.98 CNF conversion : 0.05
% 8.50/2.98 Main loop : 1.32
% 8.50/2.98 Inferencing : 0.49
% 8.50/2.98 Reduction : 0.38
% 8.50/2.98 Demodulation : 0.24
% 8.50/2.98 BG Simplification : 0.04
% 8.50/2.98 Subsumption : 0.31
% 8.50/2.98 Abstraction : 0.04
% 8.50/2.98 MUC search : 0.00
% 8.81/2.98 Cooper : 0.00
% 8.81/2.98 Total : 1.95
% 8.81/2.98 Index Insertion : 0.00
% 8.81/2.98 Index Deletion : 0.00
% 8.81/2.98 Index Matching : 0.00
% 8.81/2.98 BG Taut test : 0.00
%------------------------------------------------------------------------------