TSTP Solution File: TOP023+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP023+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 : n016.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 11:18:41 EDT 2023
% Result : Theorem 22.16s 9.30s
% Output : CNFRefutation 22.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 44
% Syntax : Number of formulae : 121 ( 28 unt; 38 typ; 0 def)
% Number of atoms : 260 ( 41 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 322 ( 145 ~; 151 |; 7 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 29 >; 8 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v2_tops_1 > v1_tsp_2 > v1_tsp_1 > r2_hidden > r1_tarski > m1_subset_1 > v5_membered > v4_ordinal2 > v4_membered > v3_membered > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_rat_1 > v1_pre_topc > v1_membered > v1_int_1 > l1_struct_0 > l1_pre_topc > g1_pre_topc > #nlpp > u1_struct_0 > u1_pre_topc > k1_zfmisc_1 > k1_xboole_0 > #skF_8 > #skF_7 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_13 > #skF_4 > #skF_11 > #skF_12 > #skF_5
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(u1_pre_topc,type,
u1_pre_topc: $i > $i ).
tff(g1_pre_topc,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v2_tops_1,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v1_tsp_1,type,
v1_tsp_1: ( $i * $i ) > $o ).
tff(v1_tsp_2,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(v1_pre_topc,type,
v1_pre_topc: $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(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('#skF_4',type,
'#skF_4': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $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_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_49,negated_conjecture,
~ ! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) )
& ( C = D )
& v1_tsp_2(C,A) )
=> v1_tsp_2(D,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
tff(f_225,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
<=> ( v1_tsp_1(B,A)
& ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v1_tsp_1(C,A)
& r1_tarski(B,C) )
=> ( B = C ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
tff(f_240,axiom,
! [A] :
( l1_pre_topc(A)
=> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
tff(f_270,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [C,D] :
( ( g1_pre_topc(A,B) = g1_pre_topc(C,D) )
=> ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
tff(f_368,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) )
& ( C = D )
& v1_tsp_1(C,A) )
=> v1_tsp_1(D,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
tff(f_336,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(c_2,plain,
~ v1_tsp_2('#skF_4','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_6,plain,
'#skF_3' = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_12,plain,
m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_217,plain,
m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_12]) ).
tff(c_14,plain,
l1_pre_topc('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0('#skF_2'))),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_3988,plain,
! [A_402,B_403] :
( ( '#skF_5'(A_402,B_403) != B_403 )
| v1_tsp_2(B_403,A_402)
| ~ v1_tsp_1(B_403,A_402)
| ~ m1_subset_1(B_403,k1_zfmisc_1(u1_struct_0(A_402)))
| ~ l1_pre_topc(A_402) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_4013,plain,
( ( '#skF_5'('#skF_2','#skF_4') != '#skF_4' )
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2')
| ~ l1_pre_topc('#skF_2') ),
inference(resolution,[status(thm)],[c_10,c_3988]) ).
tff(c_4024,plain,
( ( '#skF_5'('#skF_2','#skF_4') != '#skF_4' )
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4013]) ).
tff(c_4025,plain,
( ( '#skF_5'('#skF_2','#skF_4') != '#skF_4' )
| ~ v1_tsp_1('#skF_4','#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_2,c_4024]) ).
tff(c_4026,plain,
~ v1_tsp_1('#skF_4','#skF_2'),
inference(splitLeft,[status(thm)],[c_4025]) ).
tff(c_16,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_4,plain,
v1_tsp_2('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_218,plain,
v1_tsp_2('#skF_4','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_3685,plain,
! [B_396,A_397] :
( v1_tsp_1(B_396,A_397)
| ~ v1_tsp_2(B_396,A_397)
| ~ m1_subset_1(B_396,k1_zfmisc_1(u1_struct_0(A_397)))
| ~ l1_pre_topc(A_397) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_3703,plain,
( v1_tsp_1('#skF_4','#skF_1')
| ~ v1_tsp_2('#skF_4','#skF_1')
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_217,c_3685]) ).
tff(c_3717,plain,
v1_tsp_1('#skF_4','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_218,c_3703]) ).
tff(c_128,plain,
! [A_66] :
( m1_subset_1(u1_pre_topc(A_66),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A_66))))
| ~ l1_pre_topc(A_66) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_8,plain,
g1_pre_topc(u1_struct_0('#skF_2'),u1_pre_topc('#skF_2')) = g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_3544,plain,
! [C_379,A_380,D_381,B_382] :
( ( C_379 = A_380 )
| ( g1_pre_topc(C_379,D_381) != g1_pre_topc(A_380,B_382) )
| ~ m1_subset_1(B_382,k1_zfmisc_1(k1_zfmisc_1(A_380))) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_3552,plain,
! [C_379,D_381] :
( ( u1_struct_0('#skF_2') = C_379 )
| ( g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) != g1_pre_topc(C_379,D_381) )
| ~ m1_subset_1(u1_pre_topc('#skF_2'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_2')))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_3544]) ).
tff(c_3730,plain,
~ m1_subset_1(u1_pre_topc('#skF_2'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_2')))),
inference(splitLeft,[status(thm)],[c_3552]) ).
tff(c_3733,plain,
~ l1_pre_topc('#skF_2'),
inference(resolution,[status(thm)],[c_128,c_3730]) ).
tff(c_3740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3733]) ).
tff(c_3741,plain,
! [C_379,D_381] :
( ( u1_struct_0('#skF_2') = C_379 )
| ( g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) != g1_pre_topc(C_379,D_381) ) ),
inference(splitRight,[status(thm)],[c_3552]) ).
tff(c_4596,plain,
u1_struct_0('#skF_2') = u1_struct_0('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_3741]) ).
tff(c_3742,plain,
m1_subset_1(u1_pre_topc('#skF_2'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_2')))),
inference(splitRight,[status(thm)],[c_3552]) ).
tff(c_3281,plain,
! [D_360,B_361,C_362,A_363] :
( ( D_360 = B_361 )
| ( g1_pre_topc(C_362,D_360) != g1_pre_topc(A_363,B_361) )
| ~ m1_subset_1(B_361,k1_zfmisc_1(k1_zfmisc_1(A_363))) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_3289,plain,
! [D_360,C_362] :
( ( u1_pre_topc('#skF_2') = D_360 )
| ( g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) != g1_pre_topc(C_362,D_360) )
| ~ m1_subset_1(u1_pre_topc('#skF_2'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_2')))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_3281]) ).
tff(c_4034,plain,
! [D_360,C_362] :
( ( u1_pre_topc('#skF_2') = D_360 )
| ( g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) != g1_pre_topc(C_362,D_360) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3742,c_3289]) ).
tff(c_4037,plain,
u1_pre_topc('#skF_2') = u1_pre_topc('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_4034]) ).
tff(c_5382,plain,
! [D_427,B_428,A_429] :
( v1_tsp_1(D_427,B_428)
| ~ v1_tsp_1(D_427,A_429)
| ( g1_pre_topc(u1_struct_0(B_428),u1_pre_topc(B_428)) != g1_pre_topc(u1_struct_0(A_429),u1_pre_topc(A_429)) )
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0(B_428)))
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0(A_429)))
| ~ l1_pre_topc(B_428)
| ~ l1_pre_topc(A_429) ),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_5388,plain,
! [D_427,A_429] :
( v1_tsp_1(D_427,'#skF_2')
| ~ v1_tsp_1(D_427,A_429)
| ( g1_pre_topc(u1_struct_0(A_429),u1_pre_topc(A_429)) != g1_pre_topc(u1_struct_0('#skF_2'),u1_pre_topc('#skF_1')) )
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0('#skF_2')))
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0(A_429)))
| ~ l1_pre_topc('#skF_2')
| ~ l1_pre_topc(A_429) ),
inference(superposition,[status(thm),theory(equality)],[c_4037,c_5382]) ).
tff(c_5400,plain,
! [D_427,A_429] :
( v1_tsp_1(D_427,'#skF_2')
| ~ v1_tsp_1(D_427,A_429)
| ( g1_pre_topc(u1_struct_0(A_429),u1_pre_topc(A_429)) != g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) )
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0(A_429)))
| ~ l1_pre_topc(A_429) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4596,c_4596,c_5388]) ).
tff(c_13654,plain,
! [D_427] :
( v1_tsp_1(D_427,'#skF_2')
| ~ v1_tsp_1(D_427,'#skF_1')
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1(D_427,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_pre_topc('#skF_1') ),
inference(reflexivity,[status(thm),theory(equality)],[c_5400]) ).
tff(c_13682,plain,
! [D_729] :
( v1_tsp_1(D_729,'#skF_2')
| ~ v1_tsp_1(D_729,'#skF_1')
| ~ m1_subset_1(D_729,k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_13654]) ).
tff(c_13730,plain,
( v1_tsp_1('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_1') ),
inference(resolution,[status(thm)],[c_217,c_13682]) ).
tff(c_13761,plain,
v1_tsp_1('#skF_4','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_3717,c_13730]) ).
tff(c_13763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4026,c_13761]) ).
tff(c_13765,plain,
v1_tsp_1('#skF_4','#skF_2'),
inference(splitRight,[status(thm)],[c_4025]) ).
tff(c_14606,plain,
u1_struct_0('#skF_2') = u1_struct_0('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_3741]) ).
tff(c_14230,plain,
! [A_738,B_739] :
( m1_subset_1('#skF_5'(A_738,B_739),k1_zfmisc_1(u1_struct_0(A_738)))
| v1_tsp_2(B_739,A_738)
| ~ v1_tsp_1(B_739,A_738)
| ~ m1_subset_1(B_739,k1_zfmisc_1(u1_struct_0(A_738)))
| ~ l1_pre_topc(A_738) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_202,plain,
! [A_88,B_89] :
( r1_tarski(A_88,B_89)
| ~ m1_subset_1(A_88,k1_zfmisc_1(B_89)) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_17935,plain,
! [A_860,B_861] :
( r1_tarski('#skF_5'(A_860,B_861),u1_struct_0(A_860))
| v1_tsp_2(B_861,A_860)
| ~ v1_tsp_1(B_861,A_860)
| ~ m1_subset_1(B_861,k1_zfmisc_1(u1_struct_0(A_860)))
| ~ l1_pre_topc(A_860) ),
inference(resolution,[status(thm)],[c_14230,c_202]) ).
tff(c_18015,plain,
! [B_861] :
( r1_tarski('#skF_5'('#skF_2',B_861),u1_struct_0('#skF_1'))
| v1_tsp_2(B_861,'#skF_2')
| ~ v1_tsp_1(B_861,'#skF_2')
| ~ m1_subset_1(B_861,k1_zfmisc_1(u1_struct_0('#skF_2')))
| ~ l1_pre_topc('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_14606,c_17935]) ).
tff(c_22793,plain,
! [B_1037] :
( r1_tarski('#skF_5'('#skF_2',B_1037),u1_struct_0('#skF_1'))
| v1_tsp_2(B_1037,'#skF_2')
| ~ v1_tsp_1(B_1037,'#skF_2')
| ~ m1_subset_1(B_1037,k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14606,c_18015]) ).
tff(c_204,plain,
! [A_88,B_89] :
( m1_subset_1(A_88,k1_zfmisc_1(B_89))
| ~ r1_tarski(A_88,B_89) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_13764,plain,
'#skF_5'('#skF_2','#skF_4') != '#skF_4',
inference(splitRight,[status(thm)],[c_4025]) ).
tff(c_14106,plain,
! [B_736,A_737] :
( r1_tarski(B_736,'#skF_5'(A_737,B_736))
| v1_tsp_2(B_736,A_737)
| ~ v1_tsp_1(B_736,A_737)
| ~ m1_subset_1(B_736,k1_zfmisc_1(u1_struct_0(A_737)))
| ~ l1_pre_topc(A_737) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_14124,plain,
( r1_tarski('#skF_4','#skF_5'('#skF_2','#skF_4'))
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2')
| ~ l1_pre_topc('#skF_2') ),
inference(resolution,[status(thm)],[c_10,c_14106]) ).
tff(c_14136,plain,
( r1_tarski('#skF_4','#skF_5'('#skF_2','#skF_4'))
| v1_tsp_2('#skF_4','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_13765,c_14124]) ).
tff(c_14137,plain,
r1_tarski('#skF_4','#skF_5'('#skF_2','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_2,c_14136]) ).
tff(c_14395,plain,
! [C_740,B_741,A_742] :
( ( C_740 = B_741 )
| ~ r1_tarski(B_741,C_740)
| ~ v1_tsp_1(C_740,A_742)
| ~ m1_subset_1(C_740,k1_zfmisc_1(u1_struct_0(A_742)))
| ~ v1_tsp_2(B_741,A_742)
| ~ m1_subset_1(B_741,k1_zfmisc_1(u1_struct_0(A_742)))
| ~ l1_pre_topc(A_742) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_14397,plain,
! [A_742] :
( ( '#skF_5'('#skF_2','#skF_4') = '#skF_4' )
| ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),A_742)
| ~ m1_subset_1('#skF_5'('#skF_2','#skF_4'),k1_zfmisc_1(u1_struct_0(A_742)))
| ~ v1_tsp_2('#skF_4',A_742)
| ~ m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0(A_742)))
| ~ l1_pre_topc(A_742) ),
inference(resolution,[status(thm)],[c_14137,c_14395]) ).
tff(c_17891,plain,
! [A_856] :
( ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),A_856)
| ~ m1_subset_1('#skF_5'('#skF_2','#skF_4'),k1_zfmisc_1(u1_struct_0(A_856)))
| ~ v1_tsp_2('#skF_4',A_856)
| ~ m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0(A_856)))
| ~ l1_pre_topc(A_856) ),
inference(negUnitSimplification,[status(thm)],[c_13764,c_14397]) ).
tff(c_17925,plain,
! [A_856] :
( ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),A_856)
| ~ v1_tsp_2('#skF_4',A_856)
| ~ m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0(A_856)))
| ~ l1_pre_topc(A_856)
| ~ r1_tarski('#skF_5'('#skF_2','#skF_4'),u1_struct_0(A_856)) ),
inference(resolution,[status(thm)],[c_204,c_17891]) ).
tff(c_22802,plain,
( ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_1')
| ~ v1_tsp_2('#skF_4','#skF_1')
| ~ l1_pre_topc('#skF_1')
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2')
| ~ m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(resolution,[status(thm)],[c_22793,c_17925]) ).
tff(c_22879,plain,
( ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_1')
| v1_tsp_2('#skF_4','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_217,c_13765,c_16,c_218,c_22802]) ).
tff(c_22880,plain,
~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_2,c_22879]) ).
tff(c_13766,plain,
! [A_730,B_731] :
( v1_tsp_1('#skF_5'(A_730,B_731),A_730)
| v1_tsp_2(B_731,A_730)
| ~ v1_tsp_1(B_731,A_730)
| ~ m1_subset_1(B_731,k1_zfmisc_1(u1_struct_0(A_730)))
| ~ l1_pre_topc(A_730) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_13784,plain,
( v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_2')
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2')
| ~ l1_pre_topc('#skF_2') ),
inference(resolution,[status(thm)],[c_10,c_13766]) ).
tff(c_13795,plain,
( v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_2')
| v1_tsp_2('#skF_4','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_13765,c_13784]) ).
tff(c_13796,plain,
v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_2,c_13795]) ).
tff(c_108,plain,
! [A_53,B_59] :
( m1_subset_1('#skF_5'(A_53,B_59),k1_zfmisc_1(u1_struct_0(A_53)))
| v1_tsp_2(B_59,A_53)
| ~ v1_tsp_1(B_59,A_53)
| ~ m1_subset_1(B_59,k1_zfmisc_1(u1_struct_0(A_53)))
| ~ l1_pre_topc(A_53) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_14646,plain,
! [B_59] :
( m1_subset_1('#skF_5'('#skF_2',B_59),k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_tsp_2(B_59,'#skF_2')
| ~ v1_tsp_1(B_59,'#skF_2')
| ~ m1_subset_1(B_59,k1_zfmisc_1(u1_struct_0('#skF_2')))
| ~ l1_pre_topc('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_14606,c_108]) ).
tff(c_14691,plain,
! [B_59] :
( m1_subset_1('#skF_5'('#skF_2',B_59),k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_tsp_2(B_59,'#skF_2')
| ~ v1_tsp_1(B_59,'#skF_2')
| ~ m1_subset_1(B_59,k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14606,c_14646]) ).
tff(c_13970,plain,
! [D_360,C_362] :
( ( u1_pre_topc('#skF_2') = D_360 )
| ( g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) != g1_pre_topc(C_362,D_360) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3742,c_3289]) ).
tff(c_13973,plain,
u1_pre_topc('#skF_2') = u1_pre_topc('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_13970]) ).
tff(c_210,plain,
! [D_110,B_104,A_96] :
( v1_tsp_1(D_110,B_104)
| ~ v1_tsp_1(D_110,A_96)
| ( g1_pre_topc(u1_struct_0(B_104),u1_pre_topc(B_104)) != g1_pre_topc(u1_struct_0(A_96),u1_pre_topc(A_96)) )
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0(B_104)))
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0(A_96)))
| ~ l1_pre_topc(B_104)
| ~ l1_pre_topc(A_96) ),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_14643,plain,
! [D_110,B_104] :
( v1_tsp_1(D_110,B_104)
| ~ v1_tsp_1(D_110,'#skF_2')
| ( g1_pre_topc(u1_struct_0(B_104),u1_pre_topc(B_104)) != g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_2')) )
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0(B_104)))
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0('#skF_2')))
| ~ l1_pre_topc(B_104)
| ~ l1_pre_topc('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_14606,c_210]) ).
tff(c_14689,plain,
! [D_110,B_104] :
( v1_tsp_1(D_110,B_104)
| ~ v1_tsp_1(D_110,'#skF_2')
| ( g1_pre_topc(u1_struct_0(B_104),u1_pre_topc(B_104)) != g1_pre_topc(u1_struct_0('#skF_1'),u1_pre_topc('#skF_1')) )
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0(B_104)))
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_pre_topc(B_104) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14606,c_13973,c_14643]) ).
tff(c_27420,plain,
! [D_110] :
( v1_tsp_1(D_110,'#skF_1')
| ~ v1_tsp_1(D_110,'#skF_2')
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1(D_110,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_pre_topc('#skF_1') ),
inference(reflexivity,[status(thm),theory(equality)],[c_14689]) ).
tff(c_27447,plain,
! [D_1172] :
( v1_tsp_1(D_1172,'#skF_1')
| ~ v1_tsp_1(D_1172,'#skF_2')
| ~ m1_subset_1(D_1172,k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_27420]) ).
tff(c_39234,plain,
! [B_1466] :
( v1_tsp_1('#skF_5'('#skF_2',B_1466),'#skF_1')
| ~ v1_tsp_1('#skF_5'('#skF_2',B_1466),'#skF_2')
| v1_tsp_2(B_1466,'#skF_2')
| ~ v1_tsp_1(B_1466,'#skF_2')
| ~ m1_subset_1(B_1466,k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(resolution,[status(thm)],[c_14691,c_27447]) ).
tff(c_39302,plain,
( v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_1')
| ~ v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_2')
| v1_tsp_2('#skF_4','#skF_2')
| ~ v1_tsp_1('#skF_4','#skF_2') ),
inference(resolution,[status(thm)],[c_217,c_39234]) ).
tff(c_39342,plain,
( v1_tsp_1('#skF_5'('#skF_2','#skF_4'),'#skF_1')
| v1_tsp_2('#skF_4','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_13765,c_13796,c_39302]) ).
tff(c_39344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_22880,c_39342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP023+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
% 0.16/0.34 % Computer : n016.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 3 18:12:07 EDT 2023
% 0.16/0.34 % CPUTime :
% 22.16/9.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.16/9.31
% 22.16/9.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.16/9.34
% 22.16/9.34 Inference rules
% 22.16/9.34 ----------------------
% 22.16/9.34 #Ref : 47
% 22.16/9.34 #Sup : 8379
% 22.16/9.34 #Fact : 0
% 22.16/9.34 #Define : 0
% 22.16/9.34 #Split : 112
% 22.16/9.34 #Chain : 0
% 22.16/9.34 #Close : 0
% 22.16/9.34
% 22.16/9.34 Ordering : KBO
% 22.16/9.34
% 22.16/9.34 Simplification rules
% 22.16/9.34 ----------------------
% 22.16/9.34 #Subsume : 4207
% 22.16/9.34 #Demod : 6406
% 22.16/9.34 #Tautology : 881
% 22.16/9.34 #SimpNegUnit : 853
% 22.16/9.34 #BackRed : 132
% 22.16/9.34
% 22.16/9.34 #Partial instantiations: 0
% 22.16/9.34 #Strategies tried : 1
% 22.16/9.34
% 22.16/9.34 Timing (in seconds)
% 22.16/9.34 ----------------------
% 22.16/9.34 Preprocessing : 0.66
% 22.16/9.34 Parsing : 0.34
% 22.16/9.35 CNF conversion : 0.06
% 22.16/9.35 Main loop : 7.63
% 22.16/9.35 Inferencing : 2.00
% 22.16/9.35 Reduction : 3.02
% 22.16/9.35 Demodulation : 2.03
% 22.16/9.35 BG Simplification : 0.09
% 22.16/9.35 Subsumption : 2.08
% 22.16/9.35 Abstraction : 0.13
% 22.16/9.35 MUC search : 0.00
% 22.16/9.35 Cooper : 0.00
% 22.16/9.35 Total : 8.36
% 22.16/9.35 Index Insertion : 0.00
% 22.16/9.35 Index Deletion : 0.00
% 22.16/9.35 Index Matching : 0.00
% 22.16/9.35 BG Taut test : 0.00
%------------------------------------------------------------------------------