TSTP Solution File: NUM536+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n021.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 10:52:01 EDT 2023
% Result : Theorem 20.25s 9.42s
% Output : CNFRefutation 20.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 113 ( 31 unt; 17 typ; 2 def)
% Number of atoms : 267 ( 34 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 299 ( 128 ~; 148 |; 10 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 14 >; 13 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 63 (; 62 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > xx > xS > slcrc0 > #skF_6 > #skF_1 > #skF_4 > #skF_5 > #skF_3 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(xS,type,
xS: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(f_193,negated_conjecture,
~ ( ( aSet0(sdtpldt0(xS,xx))
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( aElement0(W0)
& ( aElementOf0(W0,xS)
| ( W0 = xx ) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(W0)
& aElementOf0(W0,sdtpldt0(xS,xx))
& ( W0 != xx ) ) ) )
=> ( sdtmndt0(sdtpldt0(xS,xx),xx) = xS ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_166,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
tff(f_168,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_107,axiom,
! [W0,W1] :
( ( aSet0(W0)
& aSet0(W1) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
tff(c_102,plain,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_106,plain,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_96,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_108,plain,
aSet0(sdtpldt0(xS,xx)),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_154,plain,
! [W0_68] :
( ( slcrc0 = W0_68 )
| aElementOf0('#skF_1'(W0_68),W0_68)
| ~ aSet0(W0_68) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_118,plain,
! [W0_58] :
( aElement0(W0_58)
| ~ aElementOf0(W0_58,sdtpldt0(xS,xx)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_161,plain,
( aElement0('#skF_1'(sdtpldt0(xS,xx)))
| ( sdtpldt0(xS,xx) = slcrc0 )
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[c_154,c_118]) ).
tff(c_169,plain,
( aElement0('#skF_1'(sdtpldt0(xS,xx)))
| ( sdtpldt0(xS,xx) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_161]) ).
tff(c_214,plain,
sdtpldt0(xS,xx) = slcrc0,
inference(splitLeft,[status(thm)],[c_169]) ).
tff(c_98,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_120,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aElement0(xx) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_124,plain,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_120]) ).
tff(c_221,plain,
aElementOf0(xx,slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_124]) ).
tff(c_225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_221]) ).
tff(c_227,plain,
sdtpldt0(xS,xx) != slcrc0,
inference(splitRight,[status(thm)],[c_169]) ).
tff(c_10,plain,
! [W0_7] :
( ( slcrc0 = W0_7 )
| aElementOf0('#skF_1'(W0_7),W0_7)
| ~ aSet0(W0_7) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_228,plain,
! [W0_82] :
( ( xx = W0_82 )
| aElementOf0(W0_82,xS)
| ~ aElementOf0(W0_82,sdtpldt0(xS,xx)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_239,plain,
( ( '#skF_1'(sdtpldt0(xS,xx)) = xx )
| aElementOf0('#skF_1'(sdtpldt0(xS,xx)),xS)
| ( sdtpldt0(xS,xx) = slcrc0 )
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[c_10,c_228]) ).
tff(c_251,plain,
( ( '#skF_1'(sdtpldt0(xS,xx)) = xx )
| aElementOf0('#skF_1'(sdtpldt0(xS,xx)),xS)
| ( sdtpldt0(xS,xx) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_239]) ).
tff(c_252,plain,
( ( '#skF_1'(sdtpldt0(xS,xx)) = xx )
| aElementOf0('#skF_1'(sdtpldt0(xS,xx)),xS) ),
inference(negUnitSimplification,[status(thm)],[c_227,c_251]) ).
tff(c_324,plain,
aElementOf0('#skF_1'(sdtpldt0(xS,xx)),xS),
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_24,plain,
! [W2_23,W0_14,W1_20] :
( aElementOf0(W2_23,W0_14)
| ~ aElementOf0(W2_23,W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_330,plain,
! [W0_14] :
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),W0_14)
| ~ aSubsetOf0(xS,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_324,c_24]) ).
tff(c_390,plain,
! [W0_96] :
( aElementOf0(W0_96,sdtpldt0(xS,xx))
| ~ aElementOf0(W0_96,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_394,plain,
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[c_330,c_390]) ).
tff(c_401,plain,
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_394]) ).
tff(c_1092,plain,
~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(splitLeft,[status(thm)],[c_401]) ).
tff(c_100,plain,
~ aElementOf0(xx,xS),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_413,plain,
! [W0_99,W1_100] :
( aElementOf0('#skF_2'(W0_99,W1_100),W1_100)
| aSubsetOf0(W1_100,W0_99)
| ~ aSet0(W1_100)
| ~ aSet0(W0_99) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_6,plain,
! [W1_5,W0_3] :
( aElement0(W1_5)
| ~ aElementOf0(W1_5,W0_3)
| ~ aSet0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_464,plain,
! [W0_99,W1_100] :
( aElement0('#skF_2'(W0_99,W1_100))
| aSubsetOf0(W1_100,W0_99)
| ~ aSet0(W1_100)
| ~ aSet0(W0_99) ),
inference(resolution,[status(thm)],[c_413,c_6]) ).
tff(c_30,plain,
! [W0_14,W1_20] :
( aElementOf0('#skF_2'(W0_14,W1_20),W1_20)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_122,plain,
! [W0_58] :
( ~ aElementOf0(W0_58,xS)
| aElementOf0(W0_58,sdtpldt0(xS,xx))
| ~ aElement0(W0_58) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_405,plain,
! [W0_97,W1_98] :
( ~ aElementOf0('#skF_2'(W0_97,W1_98),W0_97)
| aSubsetOf0(W1_98,W0_97)
| ~ aSet0(W1_98)
| ~ aSet0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_409,plain,
! [W1_98] :
( aSubsetOf0(W1_98,sdtpldt0(xS,xx))
| ~ aSet0(W1_98)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0('#skF_2'(sdtpldt0(xS,xx),W1_98),xS)
| ~ aElement0('#skF_2'(sdtpldt0(xS,xx),W1_98)) ),
inference(resolution,[status(thm)],[c_122,c_405]) ).
tff(c_3384,plain,
! [W1_220] :
( aSubsetOf0(W1_220,sdtpldt0(xS,xx))
| ~ aSet0(W1_220)
| ~ aElementOf0('#skF_2'(sdtpldt0(xS,xx),W1_220),xS)
| ~ aElement0('#skF_2'(sdtpldt0(xS,xx),W1_220)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_409]) ).
tff(c_3400,plain,
( ~ aElement0('#skF_2'(sdtpldt0(xS,xx),xS))
| aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[c_30,c_3384]) ).
tff(c_3412,plain,
( ~ aElement0('#skF_2'(sdtpldt0(xS,xx),xS))
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_96,c_3400]) ).
tff(c_3413,plain,
~ aElement0('#skF_2'(sdtpldt0(xS,xx),xS)),
inference(splitLeft,[status(thm)],[c_3412]) ).
tff(c_3416,plain,
( aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[c_464,c_3413]) ).
tff(c_3419,plain,
aSubsetOf0(xS,sdtpldt0(xS,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_96,c_3416]) ).
tff(c_334,plain,
! [W0_95] :
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),W0_95)
| ~ aSubsetOf0(xS,W0_95)
| ~ aSet0(W0_95) ),
inference(resolution,[status(thm)],[c_324,c_24]) ).
tff(c_372,plain,
! [W0_14,W0_95] :
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),W0_14)
| ~ aSubsetOf0(W0_95,W0_14)
| ~ aSet0(W0_14)
| ~ aSubsetOf0(xS,W0_95)
| ~ aSet0(W0_95) ),
inference(resolution,[status(thm)],[c_334,c_24]) ).
tff(c_3427,plain,
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_3419,c_372]) ).
tff(c_3452,plain,
( aElementOf0('#skF_1'(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_108,c_3427]) ).
tff(c_3882,plain,
~ aSubsetOf0(xS,xS),
inference(splitLeft,[status(thm)],[c_3452]) ).
tff(c_3888,plain,
~ aSet0(xS),
inference(resolution,[status(thm)],[c_34,c_3882]) ).
tff(c_3895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_3888]) ).
tff(c_3897,plain,
aSubsetOf0(xS,xS),
inference(splitRight,[status(thm)],[c_3452]) ).
tff(c_589,plain,
! [W0_112] :
( aElementOf0(W0_112,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( xx = W0_112 )
| ~ aElementOf0(W0_112,sdtpldt0(xS,xx))
| ~ aElement0(W0_112) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_28,plain,
! [W0_14,W1_20] :
( ~ aElementOf0('#skF_2'(W0_14,W1_20),W0_14)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_596,plain,
! [W1_20] :
( aSubsetOf0(W1_20,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(W1_20)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_20) = xx )
| ~ aElementOf0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_20),sdtpldt0(xS,xx))
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_20)) ),
inference(resolution,[status(thm)],[c_589,c_28]) ).
tff(c_50985,plain,
! [W1_1086] :
( aSubsetOf0(W1_1086,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(W1_1086)
| ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1086) = xx )
| ~ aElementOf0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1086),sdtpldt0(xS,xx))
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1086)) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_596]) ).
tff(c_52798,plain,
! [W1_1096] :
( aSubsetOf0(W1_1096,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(W1_1096)
| ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1096) = xx )
| ~ aElementOf0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1096),xS)
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),W1_1096)) ),
inference(resolution,[status(thm)],[c_122,c_50985]) ).
tff(c_52876,plain,
( ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx )
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS))
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[c_30,c_52798]) ).
tff(c_52929,plain,
( ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx )
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS))
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_96,c_52876]) ).
tff(c_52930,plain,
( ( '#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx )
| ~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS)) ),
inference(negUnitSimplification,[status(thm)],[c_1092,c_52929]) ).
tff(c_53079,plain,
~ aElement0('#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS)),
inference(splitLeft,[status(thm)],[c_52930]) ).
tff(c_53177,plain,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[c_464,c_53079]) ).
tff(c_53186,plain,
aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_96,c_53177]) ).
tff(c_53188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1092,c_53186]) ).
tff(c_53189,plain,
'#skF_2'(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx,
inference(splitRight,[status(thm)],[c_52930]) ).
tff(c_1419,plain,
! [W0_154,W1_155,W0_156] :
( aElementOf0('#skF_2'(W0_154,W1_155),W0_156)
| ~ aSubsetOf0(W1_155,W0_156)
| ~ aSet0(W0_156)
| aSubsetOf0(W1_155,W0_154)
| ~ aSet0(W1_155)
| ~ aSet0(W0_154) ),
inference(resolution,[status(thm)],[c_413,c_24]) ).
tff(c_47873,plain,
! [W0_1048,W1_1049,W0_1050,W0_1051] :
( aElementOf0('#skF_2'(W0_1048,W1_1049),W0_1050)
| ~ aSubsetOf0(W0_1051,W0_1050)
| ~ aSet0(W0_1050)
| ~ aSubsetOf0(W1_1049,W0_1051)
| ~ aSet0(W0_1051)
| aSubsetOf0(W1_1049,W0_1048)
| ~ aSet0(W1_1049)
| ~ aSet0(W0_1048) ),
inference(resolution,[status(thm)],[c_1419,c_24]) ).
tff(c_47919,plain,
! [W0_1048,W1_1049] :
( aElementOf0('#skF_2'(W0_1048,W1_1049),xS)
| ~ aSubsetOf0(W1_1049,xS)
| ~ aSet0(xS)
| aSubsetOf0(W1_1049,W0_1048)
| ~ aSet0(W1_1049)
| ~ aSet0(W0_1048) ),
inference(resolution,[status(thm)],[c_3897,c_47873]) ).
tff(c_47995,plain,
! [W0_1048,W1_1049] :
( aElementOf0('#skF_2'(W0_1048,W1_1049),xS)
| ~ aSubsetOf0(W1_1049,xS)
| aSubsetOf0(W1_1049,W0_1048)
| ~ aSet0(W1_1049)
| ~ aSet0(W0_1048) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_47919]) ).
tff(c_53206,plain,
( aElementOf0(xx,xS)
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_53189,c_47995]) ).
tff(c_53276,plain,
( aElementOf0(xx,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_96,c_3897,c_53206]) ).
tff(c_53278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1092,c_100,c_53276]) ).
tff(c_53280,plain,
aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(splitRight,[status(thm)],[c_401]) ).
tff(c_36,plain,
! [W1_29,W0_28] :
( ( W1_29 = W0_28 )
| ~ aSubsetOf0(W1_29,W0_28)
| ~ aSubsetOf0(W0_28,W1_29)
| ~ aSet0(W1_29)
| ~ aSet0(W0_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_53284,plain,
( ( sdtmndt0(sdtpldt0(xS,xx),xx) = xS )
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[c_53280,c_36]) ).
tff(c_53296,plain,
( ( sdtmndt0(sdtpldt0(xS,xx),xx) = xS )
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_96,c_53284]) ).
tff(c_53297,plain,
~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
inference(negUnitSimplification,[status(thm)],[c_102,c_53296]) ).
tff(c_110,plain,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_112,plain,
! [W0_59] :
( aElementOf0(W0_59,sdtpldt0(xS,xx))
| ~ aElementOf0(W0_59,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_421,plain,
! [W0_99] :
( aElementOf0('#skF_2'(W0_99,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),W0_99)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(W0_99) ),
inference(resolution,[status(thm)],[c_413,c_112]) ).
tff(c_56100,plain,
! [W0_1187] :
( aElementOf0('#skF_2'(W0_1187,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),W0_1187)
| ~ aSet0(W0_1187) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_421]) ).
tff(c_116,plain,
! [W0_58] :
( ( xx = W0_58 )
| aElementOf0(W0_58,xS)
| ~ aElementOf0(W0_58,sdtpldt0(xS,xx)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_56501,plain,
! [W0_1198] :
( ( '#skF_2'(W0_1198,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx )
| aElementOf0('#skF_2'(W0_1198,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),W0_1198)
| ~ aSet0(W0_1198) ),
inference(resolution,[status(thm)],[c_56100,c_116]) ).
tff(c_56509,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ( '#skF_2'(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_56501,c_28]) ).
tff(c_56523,plain,
( ( '#skF_2'(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_106,c_56509]) ).
tff(c_56524,plain,
'#skF_2'(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx,
inference(negUnitSimplification,[status(thm)],[c_53297,c_56523]) ).
tff(c_56552,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_56524,c_30]) ).
tff(c_56580,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_106,c_56552]) ).
tff(c_56582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53297,c_110,c_56580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n021.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 14:39:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.25/9.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.52/9.43
% 20.52/9.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.52/9.47
% 20.52/9.47 Inference rules
% 20.52/9.47 ----------------------
% 20.52/9.47 #Ref : 0
% 20.52/9.47 #Sup : 11322
% 20.52/9.47 #Fact : 0
% 20.52/9.47 #Define : 0
% 20.52/9.47 #Split : 69
% 20.52/9.47 #Chain : 0
% 20.52/9.47 #Close : 0
% 20.52/9.47
% 20.52/9.47 Ordering : KBO
% 20.52/9.47
% 20.52/9.47 Simplification rules
% 20.52/9.47 ----------------------
% 20.52/9.47 #Subsume : 5087
% 20.52/9.47 #Demod : 12246
% 20.52/9.47 #Tautology : 2086
% 20.52/9.47 #SimpNegUnit : 1566
% 20.52/9.47 #BackRed : 145
% 20.52/9.47
% 20.52/9.47 #Partial instantiations: 0
% 20.52/9.47 #Strategies tried : 1
% 20.52/9.47
% 20.52/9.47 Timing (in seconds)
% 20.52/9.47 ----------------------
% 20.52/9.47 Preprocessing : 0.59
% 20.52/9.47 Parsing : 0.30
% 20.52/9.47 CNF conversion : 0.05
% 20.52/9.47 Main loop : 7.82
% 20.52/9.47 Inferencing : 1.85
% 20.52/9.47 Reduction : 2.81
% 20.52/9.47 Demodulation : 2.00
% 20.52/9.47 BG Simplification : 0.13
% 20.52/9.47 Subsumption : 2.60
% 20.52/9.47 Abstraction : 0.23
% 20.52/9.47 MUC search : 0.00
% 20.52/9.47 Cooper : 0.00
% 20.52/9.47 Total : 8.47
% 20.52/9.47 Index Insertion : 0.00
% 20.52/9.47 Index Deletion : 0.00
% 20.52/9.47 Index Matching : 0.00
% 20.52/9.47 BG Taut test : 0.00
%------------------------------------------------------------------------------