TSTP Solution File: SEU156+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU156+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n032.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 10:57:49 EDT 2023
% Result : Theorem 70.17s 54.67s
% Output : CNFRefutation 70.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 139 ( 66 unt; 42 typ; 0 def)
% Number of atoms : 141 ( 98 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 32 ~; 32 |; 2 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 35 >; 39 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 7 con; 0-3 aty)
% Number of variables : 108 (; 107 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > disjoint > empty > unordered_pair > set_union2 > set_intersection2 > set_difference > ordered_pair > #nlpp > union > singleton > powerset > empty_set > #skF_22 > #skF_17 > #skF_20 > #skF_6 > #skF_25 > #skF_18 > #skF_12 > #skF_19 > #skF_13 > #skF_14 > #skF_26 > #skF_10 > #skF_11 > #skF_7 > #skF_9 > #skF_28 > #skF_3 > #skF_2 > #skF_24 > #skF_23 > #skF_8 > #skF_27 > #skF_1 > #skF_21 > #skF_5 > #skF_15 > #skF_4 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(union,type,
union: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_340,lemma,
! [A] : ( unordered_pair(A,A) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
tff(f_124,axiom,
! [A,B] : ( ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
tff(f_271,negated_conjecture,
~ ! [A,B,C,D] :
( ( ordered_pair(A,B) = ordered_pair(C,D) )
=> ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_zfmisc_1) ).
tff(f_202,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_344,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_162,lemma,
! [A] : ( singleton(A) != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
tff(f_207,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_277,lemma,
! [A,B] :
( ( set_difference(A,B) = empty_set )
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
tff(f_122,axiom,
! [A,B,C] :
( ( C = set_difference(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
tff(f_55,axiom,
! [A,B] :
( ( B = singleton(A) )
<=> ! [C] :
( in(C,B)
<=> ( C = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
tff(f_77,axiom,
! [A,B,C] :
( ( C = unordered_pair(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( ( D = A )
| ( D = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
tff(f_381,lemma,
! [A,B,C] :
( ( singleton(A) = unordered_pair(B,C) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_zfmisc_1) ).
tff(f_38,axiom,
! [A,B] : ( unordered_pair(A,B) = unordered_pair(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
tff(c_290,plain,
! [A_173] : ( unordered_pair(A_173,A_173) = singleton(A_173) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_172340,plain,
! [A_183899,B_183900] : ( unordered_pair(unordered_pair(A_183899,B_183900),singleton(A_183899)) = ordered_pair(A_183899,B_183900) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_192354,plain,
! [A_238458] : ( unordered_pair(singleton(A_238458),singleton(A_238458)) = ordered_pair(A_238458,A_238458) ),
inference(superposition,[status(thm),theory(equality)],[c_290,c_172340]) ).
tff(c_192427,plain,
! [A_238458] : ( singleton(singleton(A_238458)) = ordered_pair(A_238458,A_238458) ),
inference(superposition,[status(thm),theory(equality)],[c_192354,c_290]) ).
tff(c_252,plain,
( ( '#skF_26' != '#skF_24' )
| ( '#skF_25' != '#skF_23' ) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_322,plain,
'#skF_25' != '#skF_23',
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_212,plain,
empty('#skF_19'),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_330,plain,
! [A_201] :
( ( empty_set = A_201 )
| ~ empty(A_201) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_337,plain,
empty_set = '#skF_19',
inference(resolution,[status(thm)],[c_212,c_330]) ).
tff(c_186,plain,
! [A_93] : ( singleton(A_93) != empty_set ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_343,plain,
! [A_93] : ( singleton(A_93) != '#skF_19' ),
inference(demodulation,[status(thm),theory(equality)],[c_337,c_186]) ).
tff(c_216,plain,
! [A_111] : subset(A_111,A_111),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_260,plain,
! [A_145,B_146] :
( ( set_difference(A_145,B_146) = empty_set )
| ~ subset(A_145,B_146) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_1622,plain,
! [A_336,B_337] :
( ( set_difference(A_336,B_337) = '#skF_19' )
| ~ subset(A_336,B_337) ),
inference(demodulation,[status(thm),theory(equality)],[c_337,c_260]) ).
tff(c_1663,plain,
! [A_111] : ( set_difference(A_111,A_111) = '#skF_19' ),
inference(resolution,[status(thm)],[c_216,c_1622]) ).
tff(c_140,plain,
! [A_69,B_70,C_71] :
( in('#skF_17'(A_69,B_70,C_71),A_69)
| in('#skF_18'(A_69,B_70,C_71),C_71)
| ( set_difference(A_69,B_70) = C_71 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_21005,plain,
! [A_971,B_972,C_973] :
( ~ in('#skF_17'(A_971,B_972,C_973),B_972)
| in('#skF_18'(A_971,B_972,C_973),C_973)
| ( set_difference(A_971,B_972) = C_973 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_21008,plain,
! [A_69,C_71] :
( in('#skF_18'(A_69,A_69,C_71),C_71)
| ( set_difference(A_69,A_69) = C_71 ) ),
inference(resolution,[status(thm)],[c_140,c_21005]) ).
tff(c_121653,plain,
! [A_158203,C_158204] :
( in('#skF_18'(A_158203,A_158203,C_158204),C_158204)
| ( C_158204 = '#skF_19' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1663,c_21008]) ).
tff(c_18,plain,
! [C_17,A_13] :
( ( C_17 = A_13 )
| ~ in(C_17,singleton(A_13)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_121806,plain,
! [A_158203,A_13] :
( ( '#skF_18'(A_158203,A_158203,singleton(A_13)) = A_13 )
| ( singleton(A_13) = '#skF_19' ) ),
inference(resolution,[status(thm)],[c_121653,c_18]) ).
tff(c_121881,plain,
! [A_158203,A_13] : ( '#skF_18'(A_158203,A_158203,singleton(A_13)) = A_13 ),
inference(negUnitSimplification,[status(thm)],[c_343,c_121806]) ).
tff(c_254,plain,
ordered_pair('#skF_25','#skF_26') = ordered_pair('#skF_23','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_5261,plain,
! [A_503,B_504] : ( unordered_pair(unordered_pair(A_503,B_504),singleton(A_503)) = ordered_pair(A_503,B_504) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_48,plain,
! [D_32,A_27] : in(D_32,unordered_pair(A_27,D_32)),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_5328,plain,
! [A_507,B_508] : in(singleton(A_507),ordered_pair(A_507,B_508)),
inference(superposition,[status(thm),theory(equality)],[c_5261,c_48]) ).
tff(c_5344,plain,
in(singleton('#skF_25'),ordered_pair('#skF_23','#skF_24')),
inference(superposition,[status(thm),theory(equality)],[c_254,c_5328]) ).
tff(c_46,plain,
! [D_32,B_28,A_27] :
( ( D_32 = B_28 )
| ( D_32 = A_27 )
| ~ in(D_32,unordered_pair(A_27,B_28)) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_165245,plain,
! [A_182020,D_182021,B_182022] :
( ( singleton(A_182020) = D_182021 )
| ( unordered_pair(A_182020,B_182022) = D_182021 )
| ~ in(D_182021,ordered_pair(A_182020,B_182022)) ),
inference(superposition,[status(thm),theory(equality)],[c_5261,c_46]) ).
tff(c_165658,plain,
( ( singleton('#skF_25') = singleton('#skF_23') )
| ( unordered_pair('#skF_23','#skF_24') = singleton('#skF_25') ) ),
inference(resolution,[status(thm)],[c_5344,c_165245]) ).
tff(c_165680,plain,
unordered_pair('#skF_23','#skF_24') = singleton('#skF_25'),
inference(splitLeft,[status(thm)],[c_165658]) ).
tff(c_165862,plain,
in('#skF_24',singleton('#skF_25')),
inference(superposition,[status(thm),theory(equality)],[c_165680,c_48]) ).
tff(c_166135,plain,
'#skF_25' = '#skF_24',
inference(resolution,[status(thm)],[c_165862,c_18]) ).
tff(c_166314,plain,
'#skF_24' != '#skF_23',
inference(demodulation,[status(thm),theory(equality)],[c_166135,c_322]) ).
tff(c_50,plain,
! [D_32,B_28] : in(D_32,unordered_pair(D_32,B_28)),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_165865,plain,
in('#skF_23',singleton('#skF_25')),
inference(superposition,[status(thm),theory(equality)],[c_165680,c_50]) ).
tff(c_166760,plain,
in('#skF_23',singleton('#skF_24')),
inference(demodulation,[status(thm),theory(equality)],[c_166135,c_165865]) ).
tff(c_166789,plain,
'#skF_24' = '#skF_23',
inference(resolution,[status(thm)],[c_166760,c_18]) ).
tff(c_166808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166314,c_166789]) ).
tff(c_166809,plain,
singleton('#skF_25') = singleton('#skF_23'),
inference(splitRight,[status(thm)],[c_165658]) ).
tff(c_166983,plain,
! [A_158203] : ( '#skF_18'(A_158203,A_158203,singleton('#skF_23')) = '#skF_25' ),
inference(superposition,[status(thm),theory(equality)],[c_166809,c_121881]) ).
tff(c_167313,plain,
'#skF_25' = '#skF_23',
inference(demodulation,[status(thm),theory(equality)],[c_121881,c_166983]) ).
tff(c_167315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322,c_167313]) ).
tff(c_167317,plain,
'#skF_25' = '#skF_23',
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_167322,plain,
ordered_pair('#skF_23','#skF_26') = ordered_pair('#skF_23','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_167317,c_254]) ).
tff(c_310,plain,
! [C_193,B_192,A_191] :
( ( C_193 = B_192 )
| ( unordered_pair(B_192,C_193) != singleton(A_191) ) ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_242212,plain,
! [A_299592,B_299593,A_299594] :
( ( unordered_pair(A_299592,B_299593) = singleton(A_299592) )
| ( singleton(A_299594) != ordered_pair(A_299592,B_299593) ) ),
inference(superposition,[status(thm),theory(equality)],[c_172340,c_310]) ).
tff(c_242296,plain,
! [A_299594] :
( ( unordered_pair('#skF_23','#skF_26') = singleton('#skF_23') )
| ( singleton(A_299594) != ordered_pair('#skF_23','#skF_24') ) ),
inference(superposition,[status(thm),theory(equality)],[c_167322,c_242212]) ).
tff(c_242403,plain,
! [A_299988] : ( singleton(A_299988) != ordered_pair('#skF_23','#skF_24') ),
inference(splitLeft,[status(thm)],[c_242296]) ).
tff(c_242407,plain,
! [A_238458] : ( ordered_pair(A_238458,A_238458) != ordered_pair('#skF_23','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_192427,c_242403]) ).
tff(c_172398,plain,
! [A_173] : ( unordered_pair(singleton(A_173),singleton(A_173)) = ordered_pair(A_173,A_173) ),
inference(superposition,[status(thm),theory(equality)],[c_290,c_172340]) ).
tff(c_167316,plain,
'#skF_26' != '#skF_24',
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_177110,plain,
! [A_184073,B_184074] : in(unordered_pair(A_184073,B_184074),ordered_pair(A_184073,B_184074)),
inference(superposition,[status(thm),theory(equality)],[c_172340,c_50]) ).
tff(c_177137,plain,
in(unordered_pair('#skF_23','#skF_26'),ordered_pair('#skF_23','#skF_24')),
inference(superposition,[status(thm),theory(equality)],[c_167322,c_177110]) ).
tff(c_301251,plain,
! [A_341583,D_341584,B_341585] :
( ( singleton(A_341583) = D_341584 )
| ( unordered_pair(A_341583,B_341585) = D_341584 )
| ~ in(D_341584,ordered_pair(A_341583,B_341585)) ),
inference(superposition,[status(thm),theory(equality)],[c_172340,c_46]) ).
tff(c_301617,plain,
( ( unordered_pair('#skF_23','#skF_26') = singleton('#skF_23') )
| ( unordered_pair('#skF_23','#skF_26') = unordered_pair('#skF_23','#skF_24') ) ),
inference(resolution,[status(thm)],[c_177137,c_301251]) ).
tff(c_303533,plain,
unordered_pair('#skF_23','#skF_26') = unordered_pair('#skF_23','#skF_24'),
inference(splitLeft,[status(thm)],[c_301617]) ).
tff(c_303836,plain,
in('#skF_26',unordered_pair('#skF_23','#skF_24')),
inference(superposition,[status(thm),theory(equality)],[c_303533,c_48]) ).
tff(c_6,plain,
! [B_6,A_5] : ( unordered_pair(B_6,A_5) = unordered_pair(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_171966,plain,
! [D_183880,B_183881,A_183882] :
( ( D_183880 = B_183881 )
| ( D_183880 = A_183882 )
| ~ in(D_183880,unordered_pair(A_183882,B_183881)) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_171988,plain,
! [D_183880,A_5,B_6] :
( ( D_183880 = A_5 )
| ( D_183880 = B_6 )
| ~ in(D_183880,unordered_pair(A_5,B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_171966]) ).
tff(c_304141,plain,
( ( '#skF_26' = '#skF_23' )
| ( '#skF_26' = '#skF_24' ) ),
inference(resolution,[status(thm)],[c_303836,c_171988]) ).
tff(c_304356,plain,
'#skF_26' = '#skF_23',
inference(negUnitSimplification,[status(thm)],[c_167316,c_304141]) ).
tff(c_304392,plain,
ordered_pair('#skF_23','#skF_24') = ordered_pair('#skF_23','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_304356,c_167322]) ).
tff(c_304397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242407,c_304392]) ).
tff(c_304398,plain,
unordered_pair('#skF_23','#skF_26') = singleton('#skF_23'),
inference(splitRight,[status(thm)],[c_301617]) ).
tff(c_172389,plain,
! [A_183899,B_183900] : ( unordered_pair(singleton(A_183899),unordered_pair(A_183899,B_183900)) = ordered_pair(A_183899,B_183900) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_172340]) ).
tff(c_304595,plain,
unordered_pair(singleton('#skF_23'),singleton('#skF_23')) = ordered_pair('#skF_23','#skF_26'),
inference(superposition,[status(thm),theory(equality)],[c_304398,c_172389]) ).
tff(c_304904,plain,
ordered_pair('#skF_23','#skF_24') = ordered_pair('#skF_23','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_167322,c_172398,c_304595]) ).
tff(c_304906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242407,c_304904]) ).
tff(c_304907,plain,
unordered_pair('#skF_23','#skF_26') = singleton('#skF_23'),
inference(splitRight,[status(thm)],[c_242296]) ).
tff(c_305351,plain,
in('#skF_26',singleton('#skF_23')),
inference(superposition,[status(thm),theory(equality)],[c_304907,c_48]) ).
tff(c_305587,plain,
'#skF_26' = '#skF_23',
inference(resolution,[status(thm)],[c_305351,c_18]) ).
tff(c_305618,plain,
'#skF_24' != '#skF_23',
inference(demodulation,[status(thm),theory(equality)],[c_305587,c_167316]) ).
tff(c_305617,plain,
ordered_pair('#skF_23','#skF_24') = ordered_pair('#skF_23','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_305587,c_167322]) ).
tff(c_172354,plain,
! [A_183899,B_183900,A_191] :
( ( unordered_pair(A_183899,B_183900) = singleton(A_183899) )
| ( singleton(A_191) != ordered_pair(A_183899,B_183900) ) ),
inference(superposition,[status(thm),theory(equality)],[c_172340,c_310]) ).
tff(c_305641,plain,
! [A_191] :
( ( unordered_pair('#skF_23','#skF_24') = singleton('#skF_23') )
| ( singleton(A_191) != ordered_pair('#skF_23','#skF_23') ) ),
inference(superposition,[status(thm),theory(equality)],[c_305617,c_172354]) ).
tff(c_306681,plain,
! [A_346417] : ( singleton(A_346417) != ordered_pair('#skF_23','#skF_23') ),
inference(splitLeft,[status(thm)],[c_305641]) ).
tff(c_306685,plain,
! [A_238458] : ( ordered_pair(A_238458,A_238458) != ordered_pair('#skF_23','#skF_23') ),
inference(superposition,[status(thm),theory(equality)],[c_192427,c_306681]) ).
tff(c_306691,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_306685]) ).
tff(c_306692,plain,
unordered_pair('#skF_23','#skF_24') = singleton('#skF_23'),
inference(splitRight,[status(thm)],[c_305641]) ).
tff(c_306824,plain,
! [A_191] :
( ( '#skF_24' = '#skF_23' )
| ( singleton(A_191) != singleton('#skF_23') ) ),
inference(superposition,[status(thm),theory(equality)],[c_306692,c_310]) ).
tff(c_307042,plain,
! [A_191] : ( singleton(A_191) != singleton('#skF_23') ),
inference(negUnitSimplification,[status(thm)],[c_305618,c_306824]) ).
tff(c_307058,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_307042]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU156+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % 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
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Thu Aug 3 11:46:05 EDT 2023
% 0.11/0.29 % CPUTime :
% 70.17/54.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.17/54.68
% 70.17/54.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 70.33/54.72
% 70.33/54.72 Inference rules
% 70.33/54.72 ----------------------
% 70.33/54.72 #Ref : 19
% 70.33/54.72 #Sup : 73325
% 70.33/54.72 #Fact : 16
% 70.33/54.72 #Define : 0
% 70.33/54.72 #Split : 47
% 70.33/54.72 #Chain : 0
% 70.33/54.72 #Close : 0
% 70.33/54.72
% 70.33/54.72 Ordering : KBO
% 70.33/54.72
% 70.33/54.72 Simplification rules
% 70.33/54.72 ----------------------
% 70.33/54.72 #Subsume : 29117
% 70.33/54.72 #Demod : 22139
% 70.33/54.72 #Tautology : 15557
% 70.33/54.72 #SimpNegUnit : 1524
% 70.33/54.72 #BackRed : 872
% 70.33/54.72
% 70.33/54.72 #Partial instantiations: 194398
% 70.33/54.72 #Strategies tried : 1
% 70.33/54.72
% 70.33/54.72 Timing (in seconds)
% 70.33/54.72 ----------------------
% 70.33/54.73 Preprocessing : 0.73
% 70.33/54.73 Parsing : 0.36
% 70.33/54.73 CNF conversion : 0.07
% 70.33/54.73 Main loop : 53.04
% 70.33/54.73 Inferencing : 6.76
% 70.33/54.73 Reduction : 24.93
% 70.33/54.73 Demodulation : 16.46
% 70.33/54.73 BG Simplification : 0.29
% 70.33/54.73 Subsumption : 17.94
% 70.33/54.73 Abstraction : 0.49
% 70.33/54.73 MUC search : 0.00
% 70.33/54.73 Cooper : 0.00
% 70.33/54.73 Total : 53.84
% 70.33/54.73 Index Insertion : 0.00
% 70.33/54.73 Index Deletion : 0.00
% 70.33/54.73 Index Matching : 0.00
% 70.33/54.73 BG Taut test : 0.00
%------------------------------------------------------------------------------