TSTP Solution File: TOP034+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP034+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 : n020.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 11:18:44 EDT 2023
% Result : Theorem 55.33s 39.30s
% Output : CNFRefutation 55.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 75
% Syntax : Number of formulae : 99 ( 9 unt; 71 typ; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 204 ( 80 ~; 96 |; 19 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 64 >; 30 *; 0 +; 0 <<)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 7 con; 0-2 aty)
% Number of variables : 35 (; 33 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v5_pre_topc > v3_borsuk_1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v4_pre_topc > v3_tops_1 > v3_pre_topc > v2_tsp_2 > v2_tops_1 > v2_tex_2 > v1_tsep_1 > v1_tex_3 > v1_borsuk_1 > r2_hidden > r1_tarski > r1_borsuk_1 > m2_tsp_1 > m1_subset_1 > m1_pre_topc > v5_tdlat_3 > v5_membered > v4_tdlat_3 > v4_ordinal2 > v4_membered > v3_tdlat_3 > v3_struct_0 > v3_realset2 > v3_membered > v2_tdlat_3 > v2_t_0topsp > v2_pre_topc > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_tdlat_3 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > l1_struct_0 > l1_pre_topc > k2_zfmisc_1 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_21 > #skF_18 > #skF_11 > #skF_19 > #skF_22 > #skF_8 > #skF_3 > #skF_16 > #skF_15 > #skF_5 > #skF_10 > #skF_2 > #skF_1 > #skF_23 > #skF_13 > #skF_4 > #skF_17 > #skF_14 > #skF_12 > #skF_7 > #skF_9 > #skF_6 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v3_borsuk_1,type,
v3_borsuk_1: ( $i * $i * $i ) > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(m2_tsp_1,type,
m2_tsp_1: ( $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(v2_tops_1,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(v1_tex_3,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(v3_tops_1,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(v1_tdlat_3,type,
v1_tdlat_3: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(v2_tsp_2,type,
v2_tsp_2: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v5_tdlat_3,type,
v5_tdlat_3: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(r1_borsuk_1,type,
r1_borsuk_1: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $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(v2_tex_2,type,
v2_tex_2: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_realset2,type,
v3_realset2: $i > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v4_tdlat_3,type,
v4_tdlat_3: $i > $o ).
tff(v2_t_0topsp,type,
v2_t_0topsp: $i > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v3_tdlat_3,type,
v3_tdlat_3: $i > $o ).
tff(v4_pre_topc,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v1_tsep_1,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v5_pre_topc,type,
v5_pre_topc: ( $i * $i * $i ) > $o ).
tff(m1_pre_topc,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(v2_pre_topc,type,
v2_pre_topc: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(v2_tdlat_3,type,
v2_tdlat_3: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v1_borsuk_1,type,
v1_borsuk_1: ( $i * $i ) > $o ).
tff(f_47,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_tsp_2(B,A)
& m2_tsp_1(B,A) )
=> r1_borsuk_1(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
tff(f_1034,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
tff(f_1066,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_tsp_2(B,A)
& m2_tsp_1(B,A) )
=> ? [C] :
( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v3_borsuk_1(C,A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
tff(f_796,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& m1_pre_topc(B,A) )
=> ( r1_borsuk_1(A,B)
<=> ? [C] :
( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v3_borsuk_1(C,A,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_8,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_2,plain,
~ r1_borsuk_1('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_12,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_10,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_4,plain,
m2_tsp_1('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_2316,plain,
! [B_434,A_435] :
( m1_pre_topc(B_434,A_435)
| ~ m2_tsp_1(B_434,A_435)
| ~ l1_pre_topc(A_435) ),
inference(cnfTransformation,[status(thm)],[f_1034]) ).
tff(c_2322,plain,
( m1_pre_topc('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_2316]) ).
tff(c_2326,plain,
m1_pre_topc('#skF_2','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2322]) ).
tff(c_6,plain,
v2_tsp_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_460,plain,
! [A_178,B_182] :
( v1_funct_1('#skF_23'(A_178,B_182))
| ~ m2_tsp_1(B_182,A_178)
| ~ v2_tsp_2(B_182,A_178)
| v3_struct_0(B_182)
| ~ l1_pre_topc(A_178)
| ~ v2_pre_topc(A_178)
| v3_struct_0(A_178) ),
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_452,plain,
! [A_178,B_182] :
( v3_borsuk_1('#skF_23'(A_178,B_182),A_178,B_182)
| ~ m2_tsp_1(B_182,A_178)
| ~ v2_tsp_2(B_182,A_178)
| v3_struct_0(B_182)
| ~ l1_pre_topc(A_178)
| ~ v2_pre_topc(A_178)
| v3_struct_0(A_178) ),
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_456,plain,
! [A_178,B_182] :
( v5_pre_topc('#skF_23'(A_178,B_182),A_178,B_182)
| ~ m2_tsp_1(B_182,A_178)
| ~ v2_tsp_2(B_182,A_178)
| v3_struct_0(B_182)
| ~ l1_pre_topc(A_178)
| ~ v2_pre_topc(A_178)
| v3_struct_0(A_178) ),
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_454,plain,
! [A_178,B_182] :
( m2_relset_1('#skF_23'(A_178,B_182),u1_struct_0(A_178),u1_struct_0(B_182))
| ~ m2_tsp_1(B_182,A_178)
| ~ v2_tsp_2(B_182,A_178)
| v3_struct_0(B_182)
| ~ l1_pre_topc(A_178)
| ~ v2_pre_topc(A_178)
| v3_struct_0(A_178) ),
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_458,plain,
! [A_178,B_182] :
( v1_funct_2('#skF_23'(A_178,B_182),u1_struct_0(A_178),u1_struct_0(B_182))
| ~ m2_tsp_1(B_182,A_178)
| ~ v2_tsp_2(B_182,A_178)
| v3_struct_0(B_182)
| ~ l1_pre_topc(A_178)
| ~ v2_pre_topc(A_178)
| v3_struct_0(A_178) ),
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_6214,plain,
! [A_823,B_824,C_825] :
( r1_borsuk_1(A_823,B_824)
| ~ v3_borsuk_1(C_825,A_823,B_824)
| ~ m2_relset_1(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
| ~ v5_pre_topc(C_825,A_823,B_824)
| ~ v1_funct_2(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
| ~ v1_funct_1(C_825)
| ~ m1_pre_topc(B_824,A_823)
| v3_struct_0(B_824)
| ~ l1_pre_topc(A_823)
| ~ v2_pre_topc(A_823)
| v3_struct_0(A_823) ),
inference(cnfTransformation,[status(thm)],[f_796]) ).
tff(c_25071,plain,
! [A_1910,B_1911] :
( r1_borsuk_1(A_1910,B_1911)
| ~ v3_borsuk_1('#skF_23'(A_1910,B_1911),A_1910,B_1911)
| ~ m2_relset_1('#skF_23'(A_1910,B_1911),u1_struct_0(A_1910),u1_struct_0(B_1911))
| ~ v5_pre_topc('#skF_23'(A_1910,B_1911),A_1910,B_1911)
| ~ v1_funct_1('#skF_23'(A_1910,B_1911))
| ~ m1_pre_topc(B_1911,A_1910)
| ~ m2_tsp_1(B_1911,A_1910)
| ~ v2_tsp_2(B_1911,A_1910)
| v3_struct_0(B_1911)
| ~ l1_pre_topc(A_1910)
| ~ v2_pre_topc(A_1910)
| v3_struct_0(A_1910) ),
inference(resolution,[status(thm)],[c_458,c_6214]) ).
tff(c_31895,plain,
! [A_2053,B_2054] :
( r1_borsuk_1(A_2053,B_2054)
| ~ v3_borsuk_1('#skF_23'(A_2053,B_2054),A_2053,B_2054)
| ~ v5_pre_topc('#skF_23'(A_2053,B_2054),A_2053,B_2054)
| ~ v1_funct_1('#skF_23'(A_2053,B_2054))
| ~ m1_pre_topc(B_2054,A_2053)
| ~ m2_tsp_1(B_2054,A_2053)
| ~ v2_tsp_2(B_2054,A_2053)
| v3_struct_0(B_2054)
| ~ l1_pre_topc(A_2053)
| ~ v2_pre_topc(A_2053)
| v3_struct_0(A_2053) ),
inference(resolution,[status(thm)],[c_454,c_25071]) ).
tff(c_36907,plain,
! [A_2321,B_2322] :
( r1_borsuk_1(A_2321,B_2322)
| ~ v3_borsuk_1('#skF_23'(A_2321,B_2322),A_2321,B_2322)
| ~ v1_funct_1('#skF_23'(A_2321,B_2322))
| ~ m1_pre_topc(B_2322,A_2321)
| ~ m2_tsp_1(B_2322,A_2321)
| ~ v2_tsp_2(B_2322,A_2321)
| v3_struct_0(B_2322)
| ~ l1_pre_topc(A_2321)
| ~ v2_pre_topc(A_2321)
| v3_struct_0(A_2321) ),
inference(resolution,[status(thm)],[c_456,c_31895]) ).
tff(c_106205,plain,
! [A_3235,B_3236] :
( r1_borsuk_1(A_3235,B_3236)
| ~ v1_funct_1('#skF_23'(A_3235,B_3236))
| ~ m1_pre_topc(B_3236,A_3235)
| ~ m2_tsp_1(B_3236,A_3235)
| ~ v2_tsp_2(B_3236,A_3235)
| v3_struct_0(B_3236)
| ~ l1_pre_topc(A_3235)
| ~ v2_pre_topc(A_3235)
| v3_struct_0(A_3235) ),
inference(resolution,[status(thm)],[c_452,c_36907]) ).
tff(c_106210,plain,
! [A_3237,B_3238] :
( r1_borsuk_1(A_3237,B_3238)
| ~ m1_pre_topc(B_3238,A_3237)
| ~ m2_tsp_1(B_3238,A_3237)
| ~ v2_tsp_2(B_3238,A_3237)
| v3_struct_0(B_3238)
| ~ l1_pre_topc(A_3237)
| ~ v2_pre_topc(A_3237)
| v3_struct_0(A_3237) ),
inference(resolution,[status(thm)],[c_460,c_106205]) ).
tff(c_106213,plain,
( r1_borsuk_1('#skF_1','#skF_2')
| ~ m1_pre_topc('#skF_2','#skF_1')
| ~ m2_tsp_1('#skF_2','#skF_1')
| v3_struct_0('#skF_2')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_106210]) ).
tff(c_106216,plain,
( r1_borsuk_1('#skF_1','#skF_2')
| v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4,c_2326,c_106213]) ).
tff(c_106218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_8,c_2,c_106216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15 % 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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 17:39:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 55.33/39.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.33/39.30
% 55.33/39.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.33/39.35
% 55.33/39.35 Inference rules
% 55.33/39.35 ----------------------
% 55.33/39.35 #Ref : 0
% 55.33/39.35 #Sup : 29632
% 55.33/39.35 #Fact : 0
% 55.33/39.35 #Define : 0
% 55.33/39.35 #Split : 98
% 55.33/39.35 #Chain : 0
% 55.33/39.35 #Close : 0
% 55.33/39.35
% 55.33/39.35 Ordering : KBO
% 55.33/39.35
% 55.33/39.35 Simplification rules
% 55.33/39.35 ----------------------
% 55.33/39.35 #Subsume : 23999
% 55.33/39.35 #Demod : 1438
% 55.33/39.35 #Tautology : 1045
% 55.33/39.35 #SimpNegUnit : 3665
% 55.33/39.35 #BackRed : 2767
% 55.33/39.35
% 55.33/39.35 #Partial instantiations: 0
% 55.33/39.35 #Strategies tried : 1
% 55.33/39.35
% 55.33/39.35 Timing (in seconds)
% 55.33/39.35 ----------------------
% 55.33/39.36 Preprocessing : 0.81
% 55.33/39.36 Parsing : 0.41
% 55.33/39.36 CNF conversion : 0.08
% 55.33/39.36 Main loop : 37.24
% 55.33/39.36 Inferencing : 10.39
% 55.33/39.36 Reduction : 11.52
% 55.33/39.36 Demodulation : 7.91
% 55.33/39.36 BG Simplification : 0.16
% 55.33/39.36 Subsumption : 13.53
% 55.33/39.36 Abstraction : 0.32
% 55.33/39.36 MUC search : 0.00
% 55.33/39.36 Cooper : 0.00
% 55.33/39.36 Total : 38.12
% 55.33/39.36 Index Insertion : 0.00
% 55.33/39.36 Index Deletion : 0.00
% 55.33/39.36 Index Matching : 0.00
% 55.33/39.36 BG Taut test : 0.00
%------------------------------------------------------------------------------