TSTP Solution File: TOP035+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP035+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 : n006.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 276.11s 245.40s
% Output : CNFRefutation 276.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 84
% Syntax : Number of formulae : 149 ( 31 unt; 76 typ; 0 def)
% Number of atoms : 308 ( 25 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 408 ( 173 ~; 184 |; 28 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 101 ( 67 >; 34 *; 0 +; 0 <<)
% Number of predicates : 45 ( 43 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 9 con; 0-4 aty)
% Number of variables : 57 (; 57 !; 0 ?; 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 > 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 > k5_pre_topc > k6_pre_topc > k2_zfmisc_1 > k1_tsp_2 > k1_struct_0 > k10_relat_1 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_tarski > k1_xboole_0 > #skF_9 > #skF_7 > #skF_21 > #skF_16 > #skF_18 > #skF_17 > #skF_19 > #skF_22 > #skF_15 > #skF_5 > #skF_6 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_23 > #skF_13 > #skF_4 > #skF_11 > #skF_14 > #skF_12 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(k5_pre_topc,type,
k5_pre_topc: ( $i * $i * $i * $i ) > $i ).
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('#skF_16',type,
'#skF_16': $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('#skF_17',type,
'#skF_17': $i ).
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('#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(k1_tsp_2,type,
k1_tsp_2: ( $i * $i ) > $i ).
tff(v3_tops_1,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(v1_tdlat_3,type,
v1_tdlat_3: $i > $o ).
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(v4_ordinal2,type,
v4_ordinal2: $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(v2_tex_2,type,
v2_tex_2: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
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_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
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('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
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('#skF_23',type,
'#skF_23': $i > $i ).
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_13',type,
'#skF_13': $i > $i ).
tff(k10_relat_1,type,
k10_relat_1: ( $i * $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_11',type,
'#skF_11': $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(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_12',type,
'#skF_12': $i ).
tff(k6_pre_topc,type,
k6_pre_topc: ( $i * $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_55,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) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( ( C = D )
=> ( k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D))) = k6_pre_topc(A,k1_struct_0(A,C)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_tsp_2) ).
tff(f_1201,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
tff(f_838,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A)
& ~ v3_struct_0(B)
& v2_tsp_2(B,A)
& m1_pre_topc(B,A) )
=> ( v1_funct_1(k1_tsp_2(A,B))
& v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(k1_tsp_2(A,B),A,B)
& m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
tff(f_860,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
tff(f_1178,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> ( k1_struct_0(A,B) = k1_tarski(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
tff(f_878,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
=> l1_pre_topc(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
tff(f_1019,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)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ( D = E )
=> ( k5_pre_topc(A,B,C,k6_pre_topc(B,k1_struct_0(B,E))) = k6_pre_topc(A,k1_struct_0(A,D)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l33_tsp_2) ).
tff(f_806,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)) )
=> ( ( C = k1_tsp_2(A,B) )
<=> v3_borsuk_1(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_tsp_2) ).
tff(c_20,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_14,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_16,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
v2_tsp_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_10,plain,
m2_tsp_1('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_2277,plain,
! [B_470,A_471] :
( m1_pre_topc(B_470,A_471)
| ~ m2_tsp_1(B_470,A_471)
| ~ l1_pre_topc(A_471) ),
inference(cnfTransformation,[status(thm)],[f_1201]) ).
tff(c_2286,plain,
( m1_pre_topc('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_2277]) ).
tff(c_2291,plain,
m1_pre_topc('#skF_2','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2286]) ).
tff(c_298,plain,
! [A_131,B_132] :
( v5_pre_topc(k1_tsp_2(A_131,B_132),A_131,B_132)
| ~ m1_pre_topc(B_132,A_131)
| ~ v2_tsp_2(B_132,A_131)
| v3_struct_0(B_132)
| ~ l1_pre_topc(A_131)
| ~ v2_pre_topc(A_131)
| v3_struct_0(A_131) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_302,plain,
! [A_131,B_132] :
( v1_funct_1(k1_tsp_2(A_131,B_132))
| ~ m1_pre_topc(B_132,A_131)
| ~ v2_tsp_2(B_132,A_131)
| v3_struct_0(B_132)
| ~ l1_pre_topc(A_131)
| ~ v2_pre_topc(A_131)
| v3_struct_0(A_131) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_4,plain,
'#skF_3' = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_8,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_523,plain,
m1_subset_1('#skF_4',u1_struct_0('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_314,plain,
! [A_139] :
( l1_struct_0(A_139)
| ~ l1_pre_topc(A_139) ),
inference(cnfTransformation,[status(thm)],[f_860]) ).
tff(c_4930,plain,
! [A_677,B_678] :
( ( k1_struct_0(A_677,B_678) = k1_tarski(B_678) )
| ~ m1_subset_1(B_678,u1_struct_0(A_677))
| ~ l1_struct_0(A_677)
| v3_struct_0(A_677) ),
inference(cnfTransformation,[status(thm)],[f_1178]) ).
tff(c_4937,plain,
( ( k1_struct_0('#skF_1','#skF_4') = k1_tarski('#skF_4') )
| ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_523,c_4930]) ).
tff(c_4944,plain,
( ( k1_struct_0('#skF_1','#skF_4') = k1_tarski('#skF_4') )
| ~ l1_struct_0('#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_20,c_4937]) ).
tff(c_4948,plain,
~ l1_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_4944]) ).
tff(c_4951,plain,
~ l1_pre_topc('#skF_1'),
inference(resolution,[status(thm)],[c_314,c_4948]) ).
tff(c_4955,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4951]) ).
tff(c_4956,plain,
k1_struct_0('#skF_1','#skF_4') = k1_tarski('#skF_4'),
inference(splitRight,[status(thm)],[c_4944]) ).
tff(c_6,plain,
m1_subset_1('#skF_4',u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1218,plain,
! [B_364,A_365] :
( l1_pre_topc(B_364)
| ~ m2_tsp_1(B_364,A_365)
| ~ l1_pre_topc(A_365) ),
inference(cnfTransformation,[status(thm)],[f_878]) ).
tff(c_1224,plain,
( l1_pre_topc('#skF_2')
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_1218]) ).
tff(c_1228,plain,
l1_pre_topc('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1224]) ).
tff(c_4940,plain,
( ( k1_struct_0('#skF_2','#skF_4') = k1_tarski('#skF_4') )
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_6,c_4930]) ).
tff(c_4947,plain,
( ( k1_struct_0('#skF_2','#skF_4') = k1_tarski('#skF_4') )
| ~ l1_struct_0('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_14,c_4940]) ).
tff(c_4963,plain,
~ l1_struct_0('#skF_2'),
inference(splitLeft,[status(thm)],[c_4947]) ).
tff(c_5021,plain,
~ l1_pre_topc('#skF_2'),
inference(resolution,[status(thm)],[c_314,c_4963]) ).
tff(c_5025,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1228,c_5021]) ).
tff(c_5026,plain,
k1_struct_0('#skF_2','#skF_4') = k1_tarski('#skF_4'),
inference(splitRight,[status(thm)],[c_4947]) ).
tff(c_296,plain,
! [A_131,B_132] :
( m2_relset_1(k1_tsp_2(A_131,B_132),u1_struct_0(A_131),u1_struct_0(B_132))
| ~ m1_pre_topc(B_132,A_131)
| ~ v2_tsp_2(B_132,A_131)
| v3_struct_0(B_132)
| ~ l1_pre_topc(A_131)
| ~ v2_pre_topc(A_131)
| v3_struct_0(A_131) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_300,plain,
! [A_131,B_132] :
( v1_funct_2(k1_tsp_2(A_131,B_132),u1_struct_0(A_131),u1_struct_0(B_132))
| ~ m1_pre_topc(B_132,A_131)
| ~ v2_tsp_2(B_132,A_131)
| v3_struct_0(B_132)
| ~ l1_pre_topc(A_131)
| ~ v2_pre_topc(A_131)
| v3_struct_0(A_131) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_8903,plain,
! [A_862,E_863,B_864,C_865] :
( ( k6_pre_topc(A_862,k1_struct_0(A_862,E_863)) = k5_pre_topc(A_862,B_864,C_865,k6_pre_topc(B_864,k1_struct_0(B_864,E_863))) )
| ~ m1_subset_1(E_863,u1_struct_0(B_864))
| ~ m1_subset_1(E_863,u1_struct_0(A_862))
| ~ v3_borsuk_1(C_865,A_862,B_864)
| ~ m2_relset_1(C_865,u1_struct_0(A_862),u1_struct_0(B_864))
| ~ v5_pre_topc(C_865,A_862,B_864)
| ~ v1_funct_2(C_865,u1_struct_0(A_862),u1_struct_0(B_864))
| ~ v1_funct_1(C_865)
| ~ m2_tsp_1(B_864,A_862)
| ~ v2_tsp_2(B_864,A_862)
| v3_struct_0(B_864)
| ~ l1_pre_topc(A_862)
| ~ v2_pre_topc(A_862)
| v3_struct_0(A_862) ),
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_62624,plain,
! [A_2499,B_2500,E_2501] :
( ( k5_pre_topc(A_2499,B_2500,k1_tsp_2(A_2499,B_2500),k6_pre_topc(B_2500,k1_struct_0(B_2500,E_2501))) = k6_pre_topc(A_2499,k1_struct_0(A_2499,E_2501)) )
| ~ m1_subset_1(E_2501,u1_struct_0(B_2500))
| ~ m1_subset_1(E_2501,u1_struct_0(A_2499))
| ~ v3_borsuk_1(k1_tsp_2(A_2499,B_2500),A_2499,B_2500)
| ~ m2_relset_1(k1_tsp_2(A_2499,B_2500),u1_struct_0(A_2499),u1_struct_0(B_2500))
| ~ v5_pre_topc(k1_tsp_2(A_2499,B_2500),A_2499,B_2500)
| ~ v1_funct_1(k1_tsp_2(A_2499,B_2500))
| ~ m2_tsp_1(B_2500,A_2499)
| ~ m1_pre_topc(B_2500,A_2499)
| ~ v2_tsp_2(B_2500,A_2499)
| v3_struct_0(B_2500)
| ~ l1_pre_topc(A_2499)
| ~ v2_pre_topc(A_2499)
| v3_struct_0(A_2499) ),
inference(resolution,[status(thm)],[c_300,c_8903]) ).
tff(c_122193,plain,
! [A_3620,B_3621,E_3622] :
( ( k5_pre_topc(A_3620,B_3621,k1_tsp_2(A_3620,B_3621),k6_pre_topc(B_3621,k1_struct_0(B_3621,E_3622))) = k6_pre_topc(A_3620,k1_struct_0(A_3620,E_3622)) )
| ~ m1_subset_1(E_3622,u1_struct_0(B_3621))
| ~ m1_subset_1(E_3622,u1_struct_0(A_3620))
| ~ v3_borsuk_1(k1_tsp_2(A_3620,B_3621),A_3620,B_3621)
| ~ v5_pre_topc(k1_tsp_2(A_3620,B_3621),A_3620,B_3621)
| ~ v1_funct_1(k1_tsp_2(A_3620,B_3621))
| ~ m2_tsp_1(B_3621,A_3620)
| ~ m1_pre_topc(B_3621,A_3620)
| ~ v2_tsp_2(B_3621,A_3620)
| v3_struct_0(B_3621)
| ~ l1_pre_topc(A_3620)
| ~ v2_pre_topc(A_3620)
| v3_struct_0(A_3620) ),
inference(resolution,[status(thm)],[c_296,c_62624]) ).
tff(c_122378,plain,
! [A_3620] :
( ( k5_pre_topc(A_3620,'#skF_2',k1_tsp_2(A_3620,'#skF_2'),k6_pre_topc('#skF_2',k1_tarski('#skF_4'))) = k6_pre_topc(A_3620,k1_struct_0(A_3620,'#skF_4')) )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_2'))
| ~ m1_subset_1('#skF_4',u1_struct_0(A_3620))
| ~ v3_borsuk_1(k1_tsp_2(A_3620,'#skF_2'),A_3620,'#skF_2')
| ~ v5_pre_topc(k1_tsp_2(A_3620,'#skF_2'),A_3620,'#skF_2')
| ~ v1_funct_1(k1_tsp_2(A_3620,'#skF_2'))
| ~ m2_tsp_1('#skF_2',A_3620)
| ~ m1_pre_topc('#skF_2',A_3620)
| ~ v2_tsp_2('#skF_2',A_3620)
| v3_struct_0('#skF_2')
| ~ l1_pre_topc(A_3620)
| ~ v2_pre_topc(A_3620)
| v3_struct_0(A_3620) ),
inference(superposition,[status(thm),theory(equality)],[c_5026,c_122193]) ).
tff(c_122529,plain,
! [A_3620] :
( ( k5_pre_topc(A_3620,'#skF_2',k1_tsp_2(A_3620,'#skF_2'),k6_pre_topc('#skF_2',k1_tarski('#skF_4'))) = k6_pre_topc(A_3620,k1_struct_0(A_3620,'#skF_4')) )
| ~ m1_subset_1('#skF_4',u1_struct_0(A_3620))
| ~ v3_borsuk_1(k1_tsp_2(A_3620,'#skF_2'),A_3620,'#skF_2')
| ~ v5_pre_topc(k1_tsp_2(A_3620,'#skF_2'),A_3620,'#skF_2')
| ~ v1_funct_1(k1_tsp_2(A_3620,'#skF_2'))
| ~ m2_tsp_1('#skF_2',A_3620)
| ~ m1_pre_topc('#skF_2',A_3620)
| ~ v2_tsp_2('#skF_2',A_3620)
| v3_struct_0('#skF_2')
| ~ l1_pre_topc(A_3620)
| ~ v2_pre_topc(A_3620)
| v3_struct_0(A_3620) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_122378]) ).
tff(c_356576,plain,
! [A_5910] :
( ( k5_pre_topc(A_5910,'#skF_2',k1_tsp_2(A_5910,'#skF_2'),k6_pre_topc('#skF_2',k1_tarski('#skF_4'))) = k6_pre_topc(A_5910,k1_struct_0(A_5910,'#skF_4')) )
| ~ m1_subset_1('#skF_4',u1_struct_0(A_5910))
| ~ v3_borsuk_1(k1_tsp_2(A_5910,'#skF_2'),A_5910,'#skF_2')
| ~ v5_pre_topc(k1_tsp_2(A_5910,'#skF_2'),A_5910,'#skF_2')
| ~ v1_funct_1(k1_tsp_2(A_5910,'#skF_2'))
| ~ m2_tsp_1('#skF_2',A_5910)
| ~ m1_pre_topc('#skF_2',A_5910)
| ~ v2_tsp_2('#skF_2',A_5910)
| ~ l1_pre_topc(A_5910)
| ~ v2_pre_topc(A_5910)
| v3_struct_0(A_5910) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_122529]) ).
tff(c_2,plain,
k5_pre_topc('#skF_1','#skF_2',k1_tsp_2('#skF_1','#skF_2'),k6_pre_topc('#skF_2',k1_struct_0('#skF_2','#skF_4'))) != k6_pre_topc('#skF_1',k1_struct_0('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_524,plain,
k5_pre_topc('#skF_1','#skF_2',k1_tsp_2('#skF_1','#skF_2'),k6_pre_topc('#skF_2',k1_struct_0('#skF_2','#skF_4'))) != k6_pre_topc('#skF_1',k1_struct_0('#skF_1','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_4958,plain,
k5_pre_topc('#skF_1','#skF_2',k1_tsp_2('#skF_1','#skF_2'),k6_pre_topc('#skF_2',k1_struct_0('#skF_2','#skF_4'))) != k6_pre_topc('#skF_1',k1_tarski('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_4956,c_524]) ).
tff(c_5032,plain,
k5_pre_topc('#skF_1','#skF_2',k1_tsp_2('#skF_1','#skF_2'),k6_pre_topc('#skF_2',k1_tarski('#skF_4'))) != k6_pre_topc('#skF_1',k1_tarski('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_5026,c_4958]) ).
tff(c_356726,plain,
( ( k6_pre_topc('#skF_1',k1_struct_0('#skF_1','#skF_4')) != k6_pre_topc('#skF_1',k1_tarski('#skF_4')) )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ v3_borsuk_1(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v5_pre_topc(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v1_funct_1(k1_tsp_2('#skF_1','#skF_2'))
| ~ m2_tsp_1('#skF_2','#skF_1')
| ~ m1_pre_topc('#skF_2','#skF_1')
| ~ v2_tsp_2('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_356576,c_5032]) ).
tff(c_356863,plain,
( ~ v3_borsuk_1(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v5_pre_topc(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v1_funct_1(k1_tsp_2('#skF_1','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_2291,c_10,c_523,c_4956,c_356726]) ).
tff(c_356864,plain,
( ~ v3_borsuk_1(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v5_pre_topc(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v1_funct_1(k1_tsp_2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_20,c_356863]) ).
tff(c_356869,plain,
~ v1_funct_1(k1_tsp_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_356864]) ).
tff(c_356872,plain,
( ~ m1_pre_topc('#skF_2','#skF_1')
| ~ v2_tsp_2('#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_302,c_356869]) ).
tff(c_356875,plain,
( v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_2291,c_356872]) ).
tff(c_356877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_356875]) ).
tff(c_356879,plain,
v1_funct_1(k1_tsp_2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_356864]) ).
tff(c_8898,plain,
! [A_860,B_861] :
( v3_borsuk_1(k1_tsp_2(A_860,B_861),A_860,B_861)
| ~ m2_relset_1(k1_tsp_2(A_860,B_861),u1_struct_0(A_860),u1_struct_0(B_861))
| ~ v5_pre_topc(k1_tsp_2(A_860,B_861),A_860,B_861)
| ~ v1_funct_2(k1_tsp_2(A_860,B_861),u1_struct_0(A_860),u1_struct_0(B_861))
| ~ v1_funct_1(k1_tsp_2(A_860,B_861))
| ~ m2_tsp_1(B_861,A_860)
| ~ v2_tsp_2(B_861,A_860)
| v3_struct_0(B_861)
| ~ l1_pre_topc(A_860)
| ~ v2_pre_topc(A_860)
| v3_struct_0(A_860) ),
inference(cnfTransformation,[status(thm)],[f_806]) ).
tff(c_59393,plain,
! [A_2377,B_2378] :
( v3_borsuk_1(k1_tsp_2(A_2377,B_2378),A_2377,B_2378)
| ~ m2_relset_1(k1_tsp_2(A_2377,B_2378),u1_struct_0(A_2377),u1_struct_0(B_2378))
| ~ v5_pre_topc(k1_tsp_2(A_2377,B_2378),A_2377,B_2378)
| ~ v1_funct_1(k1_tsp_2(A_2377,B_2378))
| ~ m2_tsp_1(B_2378,A_2377)
| ~ m1_pre_topc(B_2378,A_2377)
| ~ v2_tsp_2(B_2378,A_2377)
| v3_struct_0(B_2378)
| ~ l1_pre_topc(A_2377)
| ~ v2_pre_topc(A_2377)
| v3_struct_0(A_2377) ),
inference(resolution,[status(thm)],[c_300,c_8898]) ).
tff(c_112221,plain,
! [A_3380,B_3381] :
( v3_borsuk_1(k1_tsp_2(A_3380,B_3381),A_3380,B_3381)
| ~ v5_pre_topc(k1_tsp_2(A_3380,B_3381),A_3380,B_3381)
| ~ v1_funct_1(k1_tsp_2(A_3380,B_3381))
| ~ m2_tsp_1(B_3381,A_3380)
| ~ m1_pre_topc(B_3381,A_3380)
| ~ v2_tsp_2(B_3381,A_3380)
| v3_struct_0(B_3381)
| ~ l1_pre_topc(A_3380)
| ~ v2_pre_topc(A_3380)
| v3_struct_0(A_3380) ),
inference(resolution,[status(thm)],[c_296,c_59393]) ).
tff(c_112225,plain,
! [A_131,B_132] :
( v3_borsuk_1(k1_tsp_2(A_131,B_132),A_131,B_132)
| ~ v1_funct_1(k1_tsp_2(A_131,B_132))
| ~ m2_tsp_1(B_132,A_131)
| ~ m1_pre_topc(B_132,A_131)
| ~ v2_tsp_2(B_132,A_131)
| v3_struct_0(B_132)
| ~ l1_pre_topc(A_131)
| ~ v2_pre_topc(A_131)
| v3_struct_0(A_131) ),
inference(resolution,[status(thm)],[c_298,c_112221]) ).
tff(c_356878,plain,
( ~ v5_pre_topc(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2')
| ~ v3_borsuk_1(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2') ),
inference(splitRight,[status(thm)],[c_356864]) ).
tff(c_356888,plain,
~ v3_borsuk_1(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_356878]) ).
tff(c_356891,plain,
( ~ v1_funct_1(k1_tsp_2('#skF_1','#skF_2'))
| ~ m2_tsp_1('#skF_2','#skF_1')
| ~ m1_pre_topc('#skF_2','#skF_1')
| ~ v2_tsp_2('#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_112225,c_356888]) ).
tff(c_356894,plain,
( v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_2291,c_10,c_356879,c_356891]) ).
tff(c_356896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_356894]) ).
tff(c_356897,plain,
~ v5_pre_topc(k1_tsp_2('#skF_1','#skF_2'),'#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_356878]) ).
tff(c_356901,plain,
( ~ m1_pre_topc('#skF_2','#skF_1')
| ~ v2_tsp_2('#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_298,c_356897]) ).
tff(c_356904,plain,
( v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_2291,c_356901]) ).
tff(c_356906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_356904]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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 : n006.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 17:42:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 276.11/245.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 276.11/245.41
% 276.11/245.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 276.11/245.45
% 276.11/245.45 Inference rules
% 276.11/245.45 ----------------------
% 276.11/245.45 #Ref : 0
% 276.11/245.45 #Sup : 83423
% 276.11/245.45 #Fact : 0
% 276.11/245.45 #Define : 0
% 276.11/245.45 #Split : 434
% 276.11/245.45 #Chain : 0
% 276.11/245.45 #Close : 0
% 276.11/245.45
% 276.11/245.45 Ordering : KBO
% 276.11/245.45
% 276.11/245.45 Simplification rules
% 276.11/245.45 ----------------------
% 276.11/245.45 #Subsume : 49807
% 276.11/245.45 #Demod : 52367
% 276.11/245.45 #Tautology : 3512
% 276.11/245.45 #SimpNegUnit : 14007
% 276.11/245.45 #BackRed : 23
% 276.11/245.45
% 276.11/245.45 #Partial instantiations: 0
% 276.11/245.45 #Strategies tried : 1
% 276.11/245.45
% 276.11/245.45 Timing (in seconds)
% 276.11/245.45 ----------------------
% 276.42/245.45 Preprocessing : 0.88
% 276.42/245.45 Parsing : 0.45
% 276.42/245.45 CNF conversion : 0.08
% 276.42/245.45 Main loop : 243.48
% 276.42/245.45 Inferencing : 44.67
% 276.42/245.45 Reduction : 121.34
% 276.42/245.45 Demodulation : 100.81
% 276.42/245.45 BG Simplification : 0.36
% 276.42/245.45 Subsumption : 65.40
% 276.42/245.45 Abstraction : 1.06
% 276.42/245.45 MUC search : 0.00
% 276.42/245.45 Cooper : 0.00
% 276.42/245.45 Total : 244.42
% 276.42/245.45 Index Insertion : 0.00
% 276.42/245.45 Index Deletion : 0.00
% 276.42/245.45 Index Matching : 0.00
% 276.42/245.45 BG Taut test : 0.00
%------------------------------------------------------------------------------