TSTP Solution File: NUM463+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM463+1 : 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 : n026.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 10:51:45 EDT 2023
% Result : Theorem 174.10s 140.56s
% Output : CNFRefutation 174.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 31
% Syntax : Number of formulae : 209 ( 70 unt; 10 typ; 1 def)
% Number of atoms : 593 ( 236 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 694 ( 300 ~; 335 |; 32 &)
% ( 1 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 156 (; 155 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > aNaturalNumber0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xn > xm > sz10 > sz00 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(xm,type,
xm: $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
tff(f_212,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( ( W1 != W0 )
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
tff(f_272,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
tff(f_93,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
tff(f_67,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
tff(f_162,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
<=> ? [W2] :
( aNaturalNumber0(W2)
& ( sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
tff(f_87,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
tff(f_35,axiom,
( aNaturalNumber0(sz10)
& ( sz10 != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_53,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
tff(f_277,negated_conjecture,
~ ( ( xm != sz00 )
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_201,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
tff(f_269,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( W0 = sz00 )
| ( W0 = sz10 )
| ( ( sz10 != W0 )
& sdtlseqdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
tff(f_189,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
tff(f_81,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_131,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( W0 != sz00 )
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2) )
| ( sdtasdt0(W1,W0) = sdtasdt0(W2,W0) ) )
=> ( W1 = W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
tff(f_258,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& sdtlseqdt0(W1,W2) )
=> ( ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2) )
& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& ( sdtasdt0(W1,W0) != sdtasdt0(W2,W0) )
& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
tff(f_115,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2) )
| ( sdtpldt0(W1,W0) = sdtpldt0(W2,W0) ) )
=> ( W1 = W2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
tff(f_41,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
tff(f_73,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_151,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtasdt0(W0,W1) = sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_72,plain,
! [W1_50] :
( sdtlseqdt0(W1_50,W1_50)
| ~ aNaturalNumber0(W1_50) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_97,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_103,plain,
! [W0_60] :
( ( sdtasdt0(W0_60,sz00) = sz00 )
| ~ aNaturalNumber0(W0_60) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_116,plain,
sdtasdt0(xm,sz00) = sz00,
inference(resolution,[status(thm)],[c_97,c_103]) ).
tff(c_95,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_183,plain,
! [W0_63] :
( ( sdtpldt0(W0_63,sz00) = W0_63 )
| ~ aNaturalNumber0(W0_63) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_199,plain,
sdtpldt0(xn,sz00) = xn,
inference(resolution,[status(thm)],[c_95,c_183]) ).
tff(c_1666,plain,
! [W0_101,W2_102] :
( sdtlseqdt0(W0_101,sdtpldt0(W0_101,W2_102))
| ~ aNaturalNumber0(W2_102)
| ~ aNaturalNumber0(sdtpldt0(W0_101,W2_102))
| ~ aNaturalNumber0(W0_101) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_1716,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_1666]) ).
tff(c_1748,plain,
sdtlseqdt0(xn,xn),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_95,c_199,c_4,c_1716]) ).
tff(c_120,plain,
! [W0_61] :
( ( sdtasdt0(sz10,W0_61) = W0_61 )
| ~ aNaturalNumber0(W0_61) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_136,plain,
sdtasdt0(sz10,xn) = xn,
inference(resolution,[status(thm)],[c_95,c_120]) ).
tff(c_196,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[c_97,c_183]) ).
tff(c_8,plain,
aNaturalNumber0(sz10),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_135,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(resolution,[status(thm)],[c_8,c_120]) ).
tff(c_761,plain,
! [W1_83,W0_84] :
( ( sdtpldt0(W1_83,W0_84) = sdtpldt0(W0_84,W1_83) )
| ~ aNaturalNumber0(W1_83)
| ~ aNaturalNumber0(W0_84) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1105,plain,
! [W0_92] :
( ( sdtpldt0(xn,W0_92) = sdtpldt0(W0_92,xn) )
| ~ aNaturalNumber0(W0_92) ),
inference(resolution,[status(thm)],[c_95,c_761]) ).
tff(c_1150,plain,
sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn),
inference(resolution,[status(thm)],[c_8,c_1105]) ).
tff(c_247,plain,
! [W0_65] :
( ( sdtasdt0(W0_65,sz10) = W0_65 )
| ~ aNaturalNumber0(W0_65) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_264,plain,
sdtasdt0(xn,sz10) = xn,
inference(resolution,[status(thm)],[c_95,c_247]) ).
tff(c_101,plain,
xm != sz00,
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_1701,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_1666]) ).
tff(c_1738,plain,
sdtlseqdt0(xm,xm),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_97,c_196,c_4,c_1701]) ).
tff(c_70,plain,
! [W1_50,W0_49] :
( sdtlseqdt0(W1_50,W0_49)
| sdtlseqdt0(W0_49,W1_50)
| ~ aNaturalNumber0(W1_50)
| ~ aNaturalNumber0(W0_49) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_2136,plain,
! [W0_109,W2_110,W1_111] :
( sdtlseqdt0(W0_109,W2_110)
| ~ sdtlseqdt0(W1_111,W2_110)
| ~ sdtlseqdt0(W0_109,W1_111)
| ~ aNaturalNumber0(W2_110)
| ~ aNaturalNumber0(W1_111)
| ~ aNaturalNumber0(W0_109) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_18746,plain,
! [W0_281,W0_282,W1_283] :
( sdtlseqdt0(W0_281,W0_282)
| ~ sdtlseqdt0(W0_281,W1_283)
| ~ aNaturalNumber0(W0_281)
| sdtlseqdt0(W0_282,W1_283)
| ~ aNaturalNumber0(W1_283)
| ~ aNaturalNumber0(W0_282) ),
inference(resolution,[status(thm)],[c_70,c_2136]) ).
tff(c_18838,plain,
! [W0_282] :
( sdtlseqdt0(xm,W0_282)
| sdtlseqdt0(W0_282,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(W0_282) ),
inference(resolution,[status(thm)],[c_1738,c_18746]) ).
tff(c_19332,plain,
! [W0_288] :
( sdtlseqdt0(xm,W0_288)
| sdtlseqdt0(W0_288,xm)
| ~ aNaturalNumber0(W0_288) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_18838]) ).
tff(c_90,plain,
! [W0_58] :
( sdtlseqdt0(sz10,W0_58)
| ( sz10 = W0_58 )
| ( sz00 = W0_58 )
| ~ aNaturalNumber0(W0_58) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_1071,plain,
! [W1_90,W0_91] :
( ( W1_90 = W0_91 )
| ~ sdtlseqdt0(W1_90,W0_91)
| ~ sdtlseqdt0(W0_91,W1_90)
| ~ aNaturalNumber0(W1_90)
| ~ aNaturalNumber0(W0_91) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_1077,plain,
! [W0_58] :
( ~ sdtlseqdt0(W0_58,sz10)
| ~ aNaturalNumber0(sz10)
| ( sz10 = W0_58 )
| ( sz00 = W0_58 )
| ~ aNaturalNumber0(W0_58) ),
inference(resolution,[status(thm)],[c_90,c_1071]) ).
tff(c_1084,plain,
! [W0_58] :
( ~ sdtlseqdt0(W0_58,sz10)
| ( sz10 = W0_58 )
| ( sz00 = W0_58 )
| ~ aNaturalNumber0(W0_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1077]) ).
tff(c_19345,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(sz10) ),
inference(resolution,[status(thm)],[c_19332,c_1084]) ).
tff(c_19379,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| sdtlseqdt0(sz10,xm) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_97,c_19345]) ).
tff(c_19380,plain,
( ( xm = sz10 )
| sdtlseqdt0(sz10,xm) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_19379]) ).
tff(c_19405,plain,
sdtlseqdt0(sz10,xm),
inference(splitLeft,[status(thm)],[c_19380]) ).
tff(c_133,plain,
sdtasdt0(sz10,xm) = xm,
inference(resolution,[status(thm)],[c_97,c_120]) ).
tff(c_260,plain,
sdtasdt0(xm,sz10) = xm,
inference(resolution,[status(thm)],[c_97,c_247]) ).
tff(c_2830,plain,
! [W0_120,W1_121,W2_122] :
( ( sdtasdt0(sdtasdt0(W0_120,W1_121),W2_122) = sdtasdt0(W0_120,sdtasdt0(W1_121,W2_122)) )
| ~ aNaturalNumber0(W2_122)
| ~ aNaturalNumber0(W1_121)
| ~ aNaturalNumber0(W0_120) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_2920,plain,
! [W2_122] :
( ( sdtasdt0(xm,sdtasdt0(sz10,W2_122)) = sdtasdt0(xm,W2_122) )
| ~ aNaturalNumber0(W2_122)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_260,c_2830]) ).
tff(c_2995,plain,
! [W2_122] :
( ( sdtasdt0(xm,sdtasdt0(sz10,W2_122)) = sdtasdt0(xm,W2_122) )
| ~ aNaturalNumber0(W2_122) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_2920]) ).
tff(c_12,plain,
! [W0_4,W1_5] :
( aNaturalNumber0(sdtasdt0(W0_4,W1_5))
| ~ aNaturalNumber0(W1_5)
| ~ aNaturalNumber0(W0_4) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_28514,plain,
! [W0_352,W1_353,W2_354] :
( aNaturalNumber0(sdtasdt0(W0_352,sdtasdt0(W1_353,W2_354)))
| ~ aNaturalNumber0(W2_354)
| ~ aNaturalNumber0(sdtasdt0(W0_352,W1_353))
| ~ aNaturalNumber0(W2_354)
| ~ aNaturalNumber0(W1_353)
| ~ aNaturalNumber0(W0_352) ),
inference(superposition,[status(thm),theory(equality)],[c_2830,c_12]) ).
tff(c_28756,plain,
! [W2_122] :
( aNaturalNumber0(sdtasdt0(xm,W2_122))
| ~ aNaturalNumber0(W2_122)
| ~ aNaturalNumber0(sdtasdt0(xm,sz10))
| ~ aNaturalNumber0(W2_122)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(W2_122) ),
inference(superposition,[status(thm),theory(equality)],[c_2995,c_28514]) ).
tff(c_29047,plain,
! [W2_122] :
( aNaturalNumber0(sdtasdt0(xm,W2_122))
| ~ aNaturalNumber0(W2_122) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_97,c_260,c_28756]) ).
tff(c_3200,plain,
! [W0_126,W2_127,W1_128] :
( ( sdtasdt0(W0_126,W2_127) != sdtasdt0(W0_126,W1_128) )
| ( W2_127 = W1_128 )
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(W1_128)
| ( sz00 = W0_126 )
| ~ aNaturalNumber0(W0_126) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_3316,plain,
! [W2_127] :
( ( sdtasdt0(xm,W2_127) != sz00 )
| ( sz00 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(sz00)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_3200]) ).
tff(c_3477,plain,
! [W2_127] :
( ( sdtasdt0(xm,W2_127) != sz00 )
| ( sz00 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_4,c_3316]) ).
tff(c_3548,plain,
! [W2_130] :
( ( sdtasdt0(xm,W2_130) != sz00 )
| ( sz00 = W2_130 )
| ~ aNaturalNumber0(W2_130) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_3477]) ).
tff(c_3575,plain,
( ( sdtasdt0(xm,xm) != sz00 )
| ( xm = sz00 ) ),
inference(resolution,[status(thm)],[c_97,c_3548]) ).
tff(c_3603,plain,
sdtasdt0(xm,xm) != sz00,
inference(negUnitSimplification,[status(thm)],[c_101,c_3575]) ).
tff(c_6,plain,
sz10 != sz00,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_157,plain,
! [W0_62] :
( ( sdtpldt0(sz00,W0_62) = W0_62 )
| ~ aNaturalNumber0(W0_62) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_172,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(resolution,[status(thm)],[c_8,c_157]) ).
tff(c_1713,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz10))
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_172,c_1666]) ).
tff(c_1746,plain,
sdtlseqdt0(sz00,sz10),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8,c_172,c_8,c_1713]) ).
tff(c_5360,plain,
! [W0_153,W1_154,W2_155] :
( sdtlseqdt0(sdtasdt0(W0_153,W1_154),sdtasdt0(W0_153,W2_155))
| ~ sdtlseqdt0(W1_154,W2_155)
| ( W2_155 = W1_154 )
| ( sz00 = W0_153 )
| ~ aNaturalNumber0(W2_155)
| ~ aNaturalNumber0(W1_154)
| ~ aNaturalNumber0(W0_153) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_5484,plain,
! [W1_154] :
( sdtlseqdt0(sdtasdt0(xm,W1_154),xm)
| ~ sdtlseqdt0(W1_154,sz10)
| ( sz10 = W1_154 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(W1_154)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_260,c_5360]) ).
tff(c_5649,plain,
! [W1_154] :
( sdtlseqdt0(sdtasdt0(xm,W1_154),xm)
| ~ sdtlseqdt0(W1_154,sz10)
| ( sz10 = W1_154 )
| ( xm = sz00 )
| ~ aNaturalNumber0(W1_154) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_5484]) ).
tff(c_5650,plain,
! [W1_154] :
( sdtlseqdt0(sdtasdt0(xm,W1_154),xm)
| ~ sdtlseqdt0(W1_154,sz10)
| ( sz10 = W1_154 )
| ~ aNaturalNumber0(W1_154) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_5649]) ).
tff(c_29422,plain,
! [W2_356] :
( aNaturalNumber0(sdtasdt0(xm,W2_356))
| ~ aNaturalNumber0(W2_356) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_97,c_260,c_28756]) ).
tff(c_32,plain,
! [W0_18] :
( ( sdtasdt0(W0_18,sz00) = sz00 )
| ~ aNaturalNumber0(W0_18) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_34554,plain,
! [W2_385] :
( ( sdtasdt0(sdtasdt0(xm,W2_385),sz00) = sz00 )
| ~ aNaturalNumber0(W2_385) ),
inference(resolution,[status(thm)],[c_29422,c_32]) ).
tff(c_24,plain,
! [W0_14,W1_15,W2_16] :
( ( sdtasdt0(sdtasdt0(W0_14,W1_15),W2_16) = sdtasdt0(W0_14,sdtasdt0(W1_15,W2_16)) )
| ~ aNaturalNumber0(W2_16)
| ~ aNaturalNumber0(W1_15)
| ~ aNaturalNumber0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_34643,plain,
! [W2_385] :
( ( sdtasdt0(xm,sdtasdt0(W2_385,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(W2_385)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(W2_385) ),
inference(superposition,[status(thm),theory(equality)],[c_34554,c_24]) ).
tff(c_36727,plain,
! [W2_398] :
( ( sdtasdt0(xm,sdtasdt0(W2_398,sz00)) = sz00 )
| ~ aNaturalNumber0(W2_398) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_4,c_34643]) ).
tff(c_86,plain,
! [W0_55,W1_56,W2_57] :
( sdtlseqdt0(sdtasdt0(W0_55,W1_56),sdtasdt0(W0_55,W2_57))
| ~ sdtlseqdt0(W1_56,W2_57)
| ( W2_57 = W1_56 )
| ( sz00 = W0_55 )
| ~ aNaturalNumber0(W2_57)
| ~ aNaturalNumber0(W1_56)
| ~ aNaturalNumber0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_36841,plain,
! [W2_57,W2_398] :
( sdtlseqdt0(sz00,sdtasdt0(xm,W2_57))
| ~ sdtlseqdt0(sdtasdt0(W2_398,sz00),W2_57)
| ( sdtasdt0(W2_398,sz00) = W2_57 )
| ( xm = sz00 )
| ~ aNaturalNumber0(W2_57)
| ~ aNaturalNumber0(sdtasdt0(W2_398,sz00))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(W2_398) ),
inference(superposition,[status(thm),theory(equality)],[c_36727,c_86]) ).
tff(c_37017,plain,
! [W2_57,W2_398] :
( sdtlseqdt0(sz00,sdtasdt0(xm,W2_57))
| ~ sdtlseqdt0(sdtasdt0(W2_398,sz00),W2_57)
| ( sdtasdt0(W2_398,sz00) = W2_57 )
| ( xm = sz00 )
| ~ aNaturalNumber0(W2_57)
| ~ aNaturalNumber0(sdtasdt0(W2_398,sz00))
| ~ aNaturalNumber0(W2_398) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_36841]) ).
tff(c_39537,plain,
! [W2_425,W2_426] :
( sdtlseqdt0(sz00,sdtasdt0(xm,W2_425))
| ~ sdtlseqdt0(sdtasdt0(W2_426,sz00),W2_425)
| ( sdtasdt0(W2_426,sz00) = W2_425 )
| ~ aNaturalNumber0(W2_425)
| ~ aNaturalNumber0(sdtasdt0(W2_426,sz00))
| ~ aNaturalNumber0(W2_426) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_37017]) ).
tff(c_39709,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xm))
| ( sdtasdt0(xm,sz00) = xm )
| ~ aNaturalNumber0(sdtasdt0(xm,sz00))
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz10)
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(resolution,[status(thm)],[c_5650,c_39537]) ).
tff(c_39857,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xm))
| ( xm = sz00 )
| ( sz10 = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1746,c_97,c_4,c_116,c_116,c_39709]) ).
tff(c_39858,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xm)),
inference(negUnitSimplification,[status(thm)],[c_6,c_101,c_39857]) ).
tff(c_66,plain,
! [W1_45,W0_44] :
( ( W1_45 = W0_44 )
| ~ sdtlseqdt0(W1_45,W0_44)
| ~ sdtlseqdt0(W0_44,W1_45)
| ~ aNaturalNumber0(W1_45)
| ~ aNaturalNumber0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_39900,plain,
( ( sdtasdt0(xm,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(resolution,[status(thm)],[c_39858,c_66]) ).
tff(c_39911,plain,
( ( sdtasdt0(xm,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39900]) ).
tff(c_39912,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(negUnitSimplification,[status(thm)],[c_3603,c_39911]) ).
tff(c_41735,plain,
~ aNaturalNumber0(sdtasdt0(xm,xm)),
inference(splitLeft,[status(thm)],[c_39912]) ).
tff(c_41738,plain,
~ aNaturalNumber0(xm),
inference(resolution,[status(thm)],[c_29047,c_41735]) ).
tff(c_41745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_41738]) ).
tff(c_41747,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(splitRight,[status(thm)],[c_39912]) ).
tff(c_26,plain,
! [W0_17] :
( ( sdtasdt0(sz10,W0_17) = W0_17 )
| ~ aNaturalNumber0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_42016,plain,
sdtasdt0(sz10,sdtasdt0(xm,xm)) = sdtasdt0(xm,xm),
inference(resolution,[status(thm)],[c_41747,c_26]) ).
tff(c_5893,plain,
! [W1_159,W0_160,W2_161] :
( sdtlseqdt0(sdtasdt0(W1_159,W0_160),sdtasdt0(W2_161,W0_160))
| ~ sdtlseqdt0(W1_159,W2_161)
| ( W2_161 = W1_159 )
| ( sz00 = W0_160 )
| ~ aNaturalNumber0(W2_161)
| ~ aNaturalNumber0(W1_159)
| ~ aNaturalNumber0(W0_160) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_107991,plain,
! [W1_764,W2_765,W0_766,W1_767] :
( sdtlseqdt0(sdtasdt0(W1_764,W2_765),sdtasdt0(W0_766,sdtasdt0(W1_767,W2_765)))
| ~ sdtlseqdt0(W1_764,sdtasdt0(W0_766,W1_767))
| ( sdtasdt0(W0_766,W1_767) = W1_764 )
| ( sz00 = W2_765 )
| ~ aNaturalNumber0(sdtasdt0(W0_766,W1_767))
| ~ aNaturalNumber0(W1_764)
| ~ aNaturalNumber0(W2_765)
| ~ aNaturalNumber0(W2_765)
| ~ aNaturalNumber0(W1_767)
| ~ aNaturalNumber0(W0_766) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_5893]) ).
tff(c_108201,plain,
! [W1_764] :
( sdtlseqdt0(sdtasdt0(W1_764,xm),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(W1_764,sdtasdt0(sz10,xm))
| ( sdtasdt0(sz10,xm) = W1_764 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sz10,xm))
| ~ aNaturalNumber0(W1_764)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_42016,c_107991]) ).
tff(c_109048,plain,
! [W1_764] :
( sdtlseqdt0(sdtasdt0(W1_764,xm),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(W1_764,xm)
| ( xm = W1_764 )
| ( xm = sz00 )
| ~ aNaturalNumber0(W1_764) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_97,c_97,c_97,c_97,c_133,c_133,c_133,c_108201]) ).
tff(c_109530,plain,
! [W1_768] :
( sdtlseqdt0(sdtasdt0(W1_768,xm),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(W1_768,xm)
| ( xm = W1_768 )
| ~ aNaturalNumber0(W1_768) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_109048]) ).
tff(c_109585,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xm))
| ~ sdtlseqdt0(sz10,xm)
| ( xm = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_109530]) ).
tff(c_109627,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xm))
| ( xm = sz10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_19405,c_109585]) ).
tff(c_109628,plain,
xm = sz10,
inference(splitLeft,[status(thm)],[c_109627]) ).
tff(c_198,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[c_8,c_183]) ).
tff(c_119,plain,
sdtasdt0(xn,sz00) = sz00,
inference(resolution,[status(thm)],[c_95,c_103]) ).
tff(c_3312,plain,
! [W2_127] :
( ( sdtasdt0(xn,W2_127) != sz00 )
| ( sz00 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(sz00)
| ( xn = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_3200]) ).
tff(c_3472,plain,
! [W2_127] :
( ( sdtasdt0(xn,W2_127) != sz00 )
| ( sz00 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_4,c_3312]) ).
tff(c_10304,plain,
xn = sz00,
inference(splitLeft,[status(thm)],[c_3472]) ).
tff(c_1979,plain,
! [W0_106,W2_107,W1_108] :
( ( sdtpldt0(W0_106,W2_107) != sdtpldt0(W0_106,W1_108) )
| ( W2_107 = W1_108 )
| ~ aNaturalNumber0(W2_107)
| ~ aNaturalNumber0(W1_108)
| ~ aNaturalNumber0(W0_106) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_2025,plain,
! [W1_108] :
( ( sdtpldt0(sz10,W1_108) != sz10 )
| ( sz00 = W1_108 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(W1_108)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_198,c_1979]) ).
tff(c_4678,plain,
! [W1_146] :
( ( sdtpldt0(sz10,W1_146) != sz10 )
| ( sz00 = W1_146 )
| ~ aNaturalNumber0(W1_146) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_2025]) ).
tff(c_4741,plain,
( ( sdtpldt0(sz10,xn) != sz10 )
| ( xn = sz00 ) ),
inference(resolution,[status(thm)],[c_95,c_4678]) ).
tff(c_5078,plain,
sdtpldt0(sz10,xn) != sz10,
inference(splitLeft,[status(thm)],[c_4741]) ).
tff(c_10,plain,
! [W0_2,W1_3] :
( aNaturalNumber0(sdtpldt0(W0_2,W1_3))
| ~ aNaturalNumber0(W1_3)
| ~ aNaturalNumber0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1160,plain,
( aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_1150,c_10]) ).
tff(c_1169,plain,
aNaturalNumber0(sdtpldt0(sz10,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_8,c_1160]) ).
tff(c_3280,plain,
! [W2_127] :
( ( sdtasdt0(xm,W2_127) != xm )
| ( sz10 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(sz10)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_260,c_3200]) ).
tff(c_3425,plain,
! [W2_127] :
( ( sdtasdt0(xm,W2_127) != xm )
| ( sz10 = W2_127 )
| ~ aNaturalNumber0(W2_127)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_3280]) ).
tff(c_4032,plain,
! [W2_138] :
( ( sdtasdt0(xm,W2_138) != xm )
| ( sz10 = W2_138 )
| ~ aNaturalNumber0(W2_138) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_3425]) ).
tff(c_4069,plain,
( ( sdtasdt0(xm,sdtpldt0(sz10,xn)) != xm )
| ( sdtpldt0(sz10,xn) = sz10 ) ),
inference(resolution,[status(thm)],[c_1169,c_4032]) ).
tff(c_9954,plain,
sdtasdt0(xm,sdtpldt0(sz10,xn)) != xm,
inference(negUnitSimplification,[status(thm)],[c_5078,c_4069]) ).
tff(c_10305,plain,
sdtasdt0(xm,sdtpldt0(sz10,sz00)) != xm,
inference(demodulation,[status(thm),theory(equality)],[c_10304,c_9954]) ).
tff(c_10419,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_260,c_198,c_10305]) ).
tff(c_10421,plain,
xn != sz00,
inference(splitRight,[status(thm)],[c_3472]) ).
tff(c_2259,plain,
! [W2_112,W0_113,W1_114] :
( ( sdtasdt0(W2_112,W0_113) != sdtasdt0(W1_114,W0_113) )
| ( W2_112 = W1_114 )
| ~ aNaturalNumber0(W2_112)
| ~ aNaturalNumber0(W1_114)
| ( sz00 = W0_113 )
| ~ aNaturalNumber0(W0_113) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_2349,plain,
! [W1_114] :
( ( sdtasdt0(W1_114,xn) != xn )
| ( sz10 = W1_114 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(W1_114)
| ( xn = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_136,c_2259]) ).
tff(c_2503,plain,
! [W1_114] :
( ( sdtasdt0(W1_114,xn) != xn )
| ( sz10 = W1_114 )
| ~ aNaturalNumber0(W1_114)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_8,c_2349]) ).
tff(c_10783,plain,
! [W1_208] :
( ( sdtasdt0(W1_208,xn) != xn )
| ( sz10 = W1_208 )
| ~ aNaturalNumber0(W1_208) ),
inference(negUnitSimplification,[status(thm)],[c_10421,c_2503]) ).
tff(c_10832,plain,
( ( sdtasdt0(xm,xn) != xn )
| ( xm = sz10 ) ),
inference(resolution,[status(thm)],[c_97,c_10783]) ).
tff(c_10841,plain,
sdtasdt0(xm,xn) != xn,
inference(splitLeft,[status(thm)],[c_10832]) ).
tff(c_449,plain,
! [W1_73,W0_74] :
( ( sdtasdt0(W1_73,W0_74) = sdtasdt0(W0_74,W1_73) )
| ~ aNaturalNumber0(W1_73)
| ~ aNaturalNumber0(W0_74) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_468,plain,
! [W0_75] :
( ( sdtasdt0(xm,W0_75) = sdtasdt0(W0_75,xm) )
| ~ aNaturalNumber0(W0_75) ),
inference(resolution,[status(thm)],[c_97,c_449]) ).
tff(c_495,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_95,c_468]) ).
tff(c_500,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_12]) ).
tff(c_504,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_97,c_500]) ).
tff(c_2321,plain,
! [W1_114] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_114,xm) )
| ( xn = W1_114 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(W1_114)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_2259]) ).
tff(c_2463,plain,
! [W1_114] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_114,xm) )
| ( xn = W1_114 )
| ~ aNaturalNumber0(W1_114)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_95,c_2321]) ).
tff(c_5079,plain,
! [W1_150] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_150,xm) )
| ( xn = W1_150 )
| ~ aNaturalNumber0(W1_150) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_2463]) ).
tff(c_5125,plain,
( ( sdtasdt0(sdtasdt0(xm,xn),xm) != sdtasdt0(xm,xn) )
| ( sdtasdt0(xm,xn) = xn ) ),
inference(resolution,[status(thm)],[c_504,c_5079]) ).
tff(c_91131,plain,
sdtasdt0(sdtasdt0(xm,xn),xm) != sdtasdt0(xm,xn),
inference(negUnitSimplification,[status(thm)],[c_10841,c_5125]) ).
tff(c_109732,plain,
sdtasdt0(sdtasdt0(sz10,xn),sz10) != sdtasdt0(sz10,xn),
inference(demodulation,[status(thm),theory(equality)],[c_109628,c_109628,c_109628,c_91131]) ).
tff(c_110236,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136,c_264,c_136,c_109732]) ).
tff(c_110238,plain,
xm != sz10,
inference(splitRight,[status(thm)],[c_109627]) ).
tff(c_99,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_496,plain,
~ sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_495,c_99]) ).
tff(c_5469,plain,
! [W2_155] :
( sdtlseqdt0(xn,sdtasdt0(xn,W2_155))
| ~ sdtlseqdt0(sz10,W2_155)
| ( sz10 = W2_155 )
| ( xn = sz00 )
| ~ aNaturalNumber0(W2_155)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_264,c_5360]) ).
tff(c_5636,plain,
! [W2_155] :
( sdtlseqdt0(xn,sdtasdt0(xn,W2_155))
| ~ sdtlseqdt0(sz10,W2_155)
| ( sz10 = W2_155 )
| ( xn = sz00 )
| ~ aNaturalNumber0(W2_155) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_8,c_5469]) ).
tff(c_327604,plain,
! [W2_1171] :
( sdtlseqdt0(xn,sdtasdt0(xn,W2_1171))
| ~ sdtlseqdt0(sz10,W2_1171)
| ( sz10 = W2_1171 )
| ~ aNaturalNumber0(W2_1171) ),
inference(negUnitSimplification,[status(thm)],[c_10421,c_5636]) ).
tff(c_327683,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sz10,xm)
| ( xm = sz10 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_327604]) ).
tff(c_327768,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ( xm = sz10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_19405,c_327683]) ).
tff(c_327770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110238,c_496,c_327768]) ).
tff(c_327771,plain,
xm = sz10,
inference(splitRight,[status(thm)],[c_19380]) ).
tff(c_783,plain,
! [W0_85] :
( ( sdtpldt0(xm,W0_85) = sdtpldt0(W0_85,xm) )
| ~ aNaturalNumber0(W0_85) ),
inference(resolution,[status(thm)],[c_97,c_761]) ).
tff(c_813,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[status(thm)],[c_95,c_783]) ).
tff(c_1828,plain,
! [W2_103,W0_104,W1_105] :
( ( sdtpldt0(W2_103,W0_104) != sdtpldt0(W1_105,W0_104) )
| ( W2_103 = W1_105 )
| ~ aNaturalNumber0(W2_103)
| ~ aNaturalNumber0(W1_105)
| ~ aNaturalNumber0(W0_104) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_1860,plain,
! [W2_103] :
( ( sdtpldt0(xm,xn) != sdtpldt0(W2_103,xm) )
| ( xn = W2_103 )
| ~ aNaturalNumber0(W2_103)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_813,c_1828]) ).
tff(c_17245,plain,
! [W2_262] :
( ( sdtpldt0(xm,xn) != sdtpldt0(W2_262,xm) )
| ( xn = W2_262 )
| ~ aNaturalNumber0(W2_262) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_95,c_1860]) ).
tff(c_17263,plain,
( ( sdtpldt0(sdtasdt0(xm,xn),xm) != sdtpldt0(xm,xn) )
| ( sdtasdt0(xm,xn) = xn ) ),
inference(resolution,[status(thm)],[c_504,c_17245]) ).
tff(c_17293,plain,
sdtpldt0(sdtasdt0(xm,xn),xm) != sdtpldt0(xm,xn),
inference(negUnitSimplification,[status(thm)],[c_10841,c_17263]) ).
tff(c_327788,plain,
sdtpldt0(sdtasdt0(sz10,xn),sz10) != sdtpldt0(sz10,xn),
inference(demodulation,[status(thm),theory(equality)],[c_327771,c_327771,c_327771,c_17293]) ).
tff(c_327969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1150,c_136,c_327788]) ).
tff(c_327970,plain,
xm = sz10,
inference(splitRight,[status(thm)],[c_10832]) ).
tff(c_2353,plain,
! [W1_114] :
( ( sdtasdt0(W1_114,xm) != xm )
| ( sz10 = W1_114 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(W1_114)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_2259]) ).
tff(c_2507,plain,
! [W1_114] :
( ( sdtasdt0(W1_114,xm) != xm )
| ( sz10 = W1_114 )
| ~ aNaturalNumber0(W1_114)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_8,c_2353]) ).
tff(c_2768,plain,
! [W1_119] :
( ( sdtasdt0(W1_119,xm) != xm )
| ( sz10 = W1_119 )
| ~ aNaturalNumber0(W1_119) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_2507]) ).
tff(c_2813,plain,
( ( sdtasdt0(xm,xm) != xm )
| ( xm = sz10 ) ),
inference(resolution,[status(thm)],[c_97,c_2768]) ).
tff(c_2823,plain,
sdtasdt0(xm,xm) != xm,
inference(splitLeft,[status(thm)],[c_2813]) ).
tff(c_328055,plain,
sdtasdt0(sz10,sz10) != sz10,
inference(demodulation,[status(thm),theory(equality)],[c_327970,c_327970,c_327970,c_2823]) ).
tff(c_328137,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135,c_328055]) ).
tff(c_328138,plain,
xn = sz00,
inference(splitRight,[status(thm)],[c_4741]) ).
tff(c_1171,plain,
! [W1_93,W0_94] :
( ( sz00 = W1_93 )
| ( sz00 = W0_94 )
| ( sdtasdt0(W0_94,W1_93) != sz00 )
| ~ aNaturalNumber0(W1_93)
| ~ aNaturalNumber0(W0_94) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_1189,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ( sdtasdt0(xm,xn) != sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_1171]) ).
tff(c_1249,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_97,c_1189]) ).
tff(c_1250,plain,
( ( xn = sz00 )
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(negUnitSimplification,[status(thm)],[c_101,c_1249]) ).
tff(c_1352,plain,
sdtasdt0(xm,xn) != sz00,
inference(splitLeft,[status(thm)],[c_1250]) ).
tff(c_2021,plain,
! [W1_108] :
( ( sdtpldt0(xm,W1_108) != xm )
| ( sz00 = W1_108 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(W1_108)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_1979]) ).
tff(c_3484,plain,
! [W1_129] :
( ( sdtpldt0(xm,W1_129) != xm )
| ( sz00 = W1_129 )
| ~ aNaturalNumber0(W1_129) ),
inference(demodulation,[status(thm),theory(equality)],[c_97,c_4,c_2021]) ).
tff(c_3502,plain,
( ( sdtpldt0(xm,sdtasdt0(xm,xn)) != xm )
| ( sdtasdt0(xm,xn) = sz00 ) ),
inference(resolution,[status(thm)],[c_504,c_3484]) ).
tff(c_3534,plain,
sdtpldt0(xm,sdtasdt0(xm,xn)) != xm,
inference(negUnitSimplification,[status(thm)],[c_1352,c_3502]) ).
tff(c_328143,plain,
sdtpldt0(xm,sdtasdt0(xm,sz00)) != xm,
inference(demodulation,[status(thm),theory(equality)],[c_328138,c_3534]) ).
tff(c_328216,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_116,c_328143]) ).
tff(c_328217,plain,
xm = sz10,
inference(splitRight,[status(thm)],[c_2813]) ).
tff(c_328320,plain,
~ sdtlseqdt0(xn,sdtasdt0(sz10,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_328217,c_496]) ).
tff(c_328352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1748,c_136,c_328320]) ).
tff(c_328353,plain,
xn = sz00,
inference(splitRight,[status(thm)],[c_1250]) ).
tff(c_328370,plain,
~ sdtlseqdt0(sz00,sdtasdt0(xm,sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_328353,c_328353,c_496]) ).
tff(c_328393,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_328370]) ).
tff(c_328411,plain,
~ aNaturalNumber0(sz00),
inference(resolution,[status(thm)],[c_72,c_328393]) ).
tff(c_328415,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_328411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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 : n026.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 15:39:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 174.10/140.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 174.25/140.59
% 174.25/140.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 174.51/140.64
% 174.51/140.64 Inference rules
% 174.51/140.64 ----------------------
% 174.51/140.64 #Ref : 14
% 174.51/140.64 #Sup : 68249
% 174.51/140.64 #Fact : 12
% 174.51/140.64 #Define : 0
% 174.51/140.64 #Split : 45
% 174.51/140.64 #Chain : 0
% 174.51/140.64 #Close : 0
% 174.51/140.64
% 174.51/140.64 Ordering : KBO
% 174.51/140.64
% 174.51/140.64 Simplification rules
% 174.51/140.64 ----------------------
% 174.51/140.64 #Subsume : 15571
% 174.51/140.64 #Demod : 135702
% 174.51/140.64 #Tautology : 13732
% 174.51/140.64 #SimpNegUnit : 7073
% 174.51/140.64 #BackRed : 1379
% 174.51/140.64
% 174.51/140.64 #Partial instantiations: 0
% 174.51/140.64 #Strategies tried : 1
% 174.51/140.64
% 174.51/140.64 Timing (in seconds)
% 174.51/140.64 ----------------------
% 174.51/140.65 Preprocessing : 0.64
% 174.51/140.65 Parsing : 0.33
% 174.51/140.65 CNF conversion : 0.05
% 174.51/140.65 Main loop : 138.89
% 174.51/140.65 Inferencing : 8.60
% 174.51/140.65 Reduction : 75.79
% 174.51/140.65 Demodulation : 58.32
% 174.51/140.65 BG Simplification : 0.66
% 174.51/140.65 Subsumption : 43.90
% 174.51/140.65 Abstraction : 1.16
% 174.51/140.65 MUC search : 0.00
% 174.51/140.65 Cooper : 0.00
% 174.51/140.65 Total : 139.62
% 174.51/140.65 Index Insertion : 0.00
% 174.51/140.65 Index Deletion : 0.00
% 174.51/140.65 Index Matching : 0.00
% 174.51/140.65 BG Taut test : 0.00
%------------------------------------------------------------------------------