TSTP Solution File: NUM462+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM462+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 : n012.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 15.08s 5.11s
% Output : CNFRefutation 15.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 121 ( 57 unt; 12 typ; 0 def)
% Number of atoms : 233 ( 94 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 239 ( 115 ~; 97 |; 19 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 61 (; 58 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > aNaturalNumber0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xn > xm > xl > sz10 > sz00 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xl,type,
xl: $i ).
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('#skF_2',type,
'#skF_2': $i ).
tff(xm,type,
xm: $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_251,hypothesis,
( ( xm != sz00 )
& ( xl != xn )
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xl,W0) = xn ) )
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897_03) ).
tff(f_239,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897) ).
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_271,negated_conjecture,
~ ( ( sdtasdt0(xm,xl) != sdtasdt0(xm,xn) )
& ( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(sdtasdt0(xm,xl),W0) = sdtasdt0(xm,xn) ) )
| sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) )
& ( sdtasdt0(xl,xm) != sdtasdt0(xn,xm) )
& ( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(sdtasdt0(xl,xm),W0) = sdtasdt0(xn,xm) ) )
| sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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_103,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
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_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(c_94,plain,
xn != xl,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_84,plain,
aNaturalNumber0(xl),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_96,plain,
xm != sz00,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_86,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_82,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_18113,plain,
! [W1_312,W0_313] :
( ( sdtasdt0(W1_312,W0_313) = sdtasdt0(W0_313,W1_312) )
| ~ aNaturalNumber0(W1_312)
| ~ aNaturalNumber0(W0_313) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_18138,plain,
! [W0_314] :
( ( sdtasdt0(xn,W0_314) = sdtasdt0(W0_314,xn) )
| ~ aNaturalNumber0(W0_314) ),
inference(resolution,[status(thm)],[c_82,c_18113]) ).
tff(c_18173,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_86,c_18138]) ).
tff(c_16924,plain,
! [W1_289,W0_290] :
( ( sdtasdt0(W1_289,W0_290) = sdtasdt0(W0_290,W1_289) )
| ~ aNaturalNumber0(W1_289)
| ~ aNaturalNumber0(W0_290) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_17530,plain,
! [W0_300] :
( ( sdtasdt0(xm,W0_300) = sdtasdt0(W0_300,xm) )
| ~ aNaturalNumber0(W0_300) ),
inference(resolution,[status(thm)],[c_86,c_16924]) ).
tff(c_17593,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_82,c_17530]) ).
tff(c_13433,plain,
! [W1_225,W0_226] :
( ( sdtasdt0(W1_225,W0_226) = sdtasdt0(W0_226,W1_225) )
| ~ aNaturalNumber0(W1_225)
| ~ aNaturalNumber0(W0_226) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_13483,plain,
! [W0_229] :
( ( sdtasdt0(xn,W0_229) = sdtasdt0(W0_229,xn) )
| ~ aNaturalNumber0(W0_229) ),
inference(resolution,[status(thm)],[c_82,c_13433]) ).
tff(c_13518,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_86,c_13483]) ).
tff(c_100,plain,
! [W0_55] :
( ( sdtpldt0(sdtasdt0(xm,xl),W0_55) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(W0_55)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) ) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_177,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_13606,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_13518,c_177]) ).
tff(c_14658,plain,
! [W0_246] :
( ( sdtasdt0(xl,W0_246) = sdtasdt0(W0_246,xl) )
| ~ aNaturalNumber0(W0_246) ),
inference(resolution,[status(thm)],[c_84,c_13433]) ).
tff(c_14738,plain,
sdtasdt0(xm,xl) = sdtasdt0(xl,xm),
inference(resolution,[status(thm)],[c_86,c_14658]) ).
tff(c_92,plain,
aNaturalNumber0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_6234,plain,
! [W1_140,W0_141] :
( ( sdtasdt0(W1_140,W0_141) = sdtasdt0(W0_141,W1_140) )
| ~ aNaturalNumber0(W1_140)
| ~ aNaturalNumber0(W0_141) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_12391,plain,
! [W0_206] :
( ( sdtasdt0(W0_206,'#skF_2') = sdtasdt0('#skF_2',W0_206) )
| ~ aNaturalNumber0(W0_206) ),
inference(resolution,[status(thm)],[c_92,c_6234]) ).
tff(c_12487,plain,
sdtasdt0(xm,'#skF_2') = sdtasdt0('#skF_2',xm),
inference(resolution,[status(thm)],[c_86,c_12391]) ).
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_12642,plain,
( aNaturalNumber0(sdtasdt0('#skF_2',xm))
| ~ aNaturalNumber0('#skF_2')
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_12487,c_12]) ).
tff(c_12671,plain,
aNaturalNumber0(sdtasdt0('#skF_2',xm)),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_92,c_12642]) ).
tff(c_90,plain,
sdtpldt0(xl,'#skF_2') = xn,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_10036,plain,
! [W0_189,W1_190,W2_191] :
( ( sdtpldt0(sdtasdt0(W0_189,W1_190),sdtasdt0(W0_189,W2_191)) = sdtasdt0(W0_189,sdtpldt0(W1_190,W2_191)) )
| ~ aNaturalNumber0(W2_191)
| ~ aNaturalNumber0(W1_190)
| ~ aNaturalNumber0(W0_189) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_680,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_730,plain,
! [W0_77] :
( ( sdtasdt0(xn,W0_77) = sdtasdt0(W0_77,xn) )
| ~ aNaturalNumber0(W0_77) ),
inference(resolution,[status(thm)],[c_82,c_680]) ).
tff(c_765,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_86,c_730]) ).
tff(c_1102,plain,
! [W0_83] :
( ( sdtasdt0(W0_83,'#skF_2') = sdtasdt0('#skF_2',W0_83) )
| ~ aNaturalNumber0(W0_83) ),
inference(resolution,[status(thm)],[c_92,c_680]) ).
tff(c_1154,plain,
sdtasdt0(xm,'#skF_2') = sdtasdt0('#skF_2',xm),
inference(resolution,[status(thm)],[c_86,c_1102]) ).
tff(c_1252,plain,
( aNaturalNumber0(sdtasdt0('#skF_2',xm))
| ~ aNaturalNumber0('#skF_2')
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_1154,c_12]) ).
tff(c_1256,plain,
aNaturalNumber0(sdtasdt0('#skF_2',xm)),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_92,c_1252]) ).
tff(c_5156,plain,
! [W1_125,W0_126,W2_127] :
( ( sdtpldt0(sdtasdt0(W1_125,W0_126),sdtasdt0(W2_127,W0_126)) = sdtasdt0(sdtpldt0(W1_125,W2_127),W0_126) )
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(W1_125)
| ~ aNaturalNumber0(W0_126) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_104,plain,
! [W0_55,W0_56] :
( ( sdtpldt0(sdtasdt0(xm,xl),W0_55) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(W0_55)
| ( sdtpldt0(sdtasdt0(xl,xm),W0_56) != sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(W0_56)
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) ) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_291,plain,
! [W0_56] :
( ( sdtpldt0(sdtasdt0(xl,xm),W0_56) != sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(W0_56) ),
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_908,plain,
! [W0_56] :
( ( sdtpldt0(sdtasdt0(xl,xm),W0_56) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(W0_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_291]) ).
tff(c_5177,plain,
! [W2_127] :
( ( sdtasdt0(sdtpldt0(xl,W2_127),xm) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(W2_127,xm))
| ~ aNaturalNumber0(W2_127)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_5156,c_908]) ).
tff(c_5812,plain,
! [W2_129] :
( ( sdtasdt0(sdtpldt0(xl,W2_129),xm) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(W2_129,xm))
| ~ aNaturalNumber0(W2_129) ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_84,c_5177]) ).
tff(c_5822,plain,
( ( sdtasdt0(sdtpldt0(xl,'#skF_2'),xm) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0('#skF_2') ),
inference(resolution,[status(thm)],[c_1256,c_5812]) ).
tff(c_5844,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_765,c_90,c_5822]) ).
tff(c_5845,plain,
! [W0_55] :
( ( sdtpldt0(sdtasdt0(xm,xl),W0_55) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(W0_55)
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) )
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) ) ),
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_6157,plain,
! [W0_55] :
( ( sdtpldt0(sdtasdt0(xm,xl),W0_55) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(W0_55) ),
inference(splitLeft,[status(thm)],[c_5845]) ).
tff(c_10059,plain,
! [W2_191] :
( ( sdtasdt0(xm,sdtpldt0(xl,W2_191)) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,W2_191))
| ~ aNaturalNumber0(W2_191)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_10036,c_6157]) ).
tff(c_10340,plain,
! [W2_191] :
( ( sdtasdt0(xm,sdtpldt0(xl,W2_191)) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,W2_191))
| ~ aNaturalNumber0(W2_191) ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_84,c_10059]) ).
tff(c_12614,plain,
( ( sdtasdt0(xm,sdtpldt0(xl,'#skF_2')) != sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0('#skF_2',xm))
| ~ aNaturalNumber0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_12487,c_10340]) ).
tff(c_12646,plain,
~ aNaturalNumber0(sdtasdt0('#skF_2',xm)),
inference(demodulation,[status(thm),theory(equality)],[c_92,c_90,c_12614]) ).
tff(c_12736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12671,c_12646]) ).
tff(c_12737,plain,
( ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) ) ),
inference(splitRight,[status(thm)],[c_5845]) ).
tff(c_12870,plain,
sdtasdt0(xm,xn) = sdtasdt0(xm,xl),
inference(splitLeft,[status(thm)],[c_12737]) ).
tff(c_12875,plain,
( aNaturalNumber0(sdtasdt0(xm,xl))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_12870,c_12]) ).
tff(c_12879,plain,
aNaturalNumber0(sdtasdt0(xm,xl)),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_82,c_12875]) ).
tff(c_72,plain,
! [W1_50] :
( sdtlseqdt0(W1_50,W1_50)
| ~ aNaturalNumber0(W1_50) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_102,plain,
! [W0_56] :
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xl,xm),W0_56) != sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(W0_56)
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) ) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_232,plain,
~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_12871,plain,
~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xl)),
inference(demodulation,[status(thm),theory(equality)],[c_12870,c_232]) ).
tff(c_12927,plain,
~ aNaturalNumber0(sdtasdt0(xm,xl)),
inference(resolution,[status(thm)],[c_72,c_12871]) ).
tff(c_12931,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12879,c_12927]) ).
tff(c_12932,plain,
sdtasdt0(xn,xm) = sdtasdt0(xl,xm),
inference(splitRight,[status(thm)],[c_12737]) ).
tff(c_12938,plain,
( aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_12932,c_12]) ).
tff(c_12942,plain,
aNaturalNumber0(sdtasdt0(xl,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_86,c_12938]) ).
tff(c_12934,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_12932,c_177]) ).
tff(c_12981,plain,
~ aNaturalNumber0(sdtasdt0(xl,xm)),
inference(resolution,[status(thm)],[c_72,c_12934]) ).
tff(c_12985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12942,c_12981]) ).
tff(c_12987,plain,
sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_15338,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_14738,c_12987]) ).
tff(c_15343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13606,c_15338]) ).
tff(c_15345,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_98,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) ) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_105,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_15558,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15345,c_105]) ).
tff(c_15560,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_15632,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_15849,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15560,c_15632]) ).
tff(c_15851,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)),
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_17603,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_17593,c_15851]) ).
tff(c_17599,plain,
sdtasdt0(xm,xl) = sdtasdt0(xl,xm),
inference(resolution,[status(thm)],[c_84,c_17530]) ).
tff(c_15860,plain,
~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_17674,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_17599,c_15860]) ).
tff(c_17677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17603,c_17674]) ).
tff(c_17679,plain,
sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_15559,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) )
| ( sdtasdt0(xn,xm) = sdtasdt0(xl,xm) ) ),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_18331,plain,
( ( sdtasdt0(xm,xn) = sdtasdt0(xm,xl) )
| ( sdtasdt0(xm,xn) = sdtasdt0(xl,xm) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18173,c_17679,c_15559]) ).
tff(c_18332,plain,
sdtasdt0(xm,xn) = sdtasdt0(xl,xm),
inference(splitLeft,[status(thm)],[c_18331]) ).
tff(c_20420,plain,
! [W0_350,W2_351,W1_352] :
( ( sdtasdt0(W0_350,W2_351) != sdtasdt0(W0_350,W1_352) )
| ( W2_351 = W1_352 )
| ~ aNaturalNumber0(W2_351)
| ~ aNaturalNumber0(W1_352)
| ( sz00 = W0_350 )
| ~ aNaturalNumber0(W0_350) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_20506,plain,
! [W1_352] :
( ( sdtasdt0(xm,W1_352) != sdtasdt0(xl,xm) )
| ( xn = W1_352 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(W1_352)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_18332,c_20420]) ).
tff(c_20720,plain,
! [W1_352] :
( ( sdtasdt0(xm,W1_352) != sdtasdt0(xl,xm) )
| ( xn = W1_352 )
| ~ aNaturalNumber0(W1_352)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_82,c_20506]) ).
tff(c_21920,plain,
! [W1_362] :
( ( sdtasdt0(xm,W1_362) != sdtasdt0(xl,xm) )
| ( xn = W1_362 )
| ~ aNaturalNumber0(W1_362) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_20720]) ).
tff(c_21977,plain,
( ( sdtasdt0(xm,xl) != sdtasdt0(xl,xm) )
| ( xn = xl ) ),
inference(resolution,[status(thm)],[c_84,c_21920]) ).
tff(c_22013,plain,
sdtasdt0(xm,xl) != sdtasdt0(xl,xm),
inference(negUnitSimplification,[status(thm)],[c_94,c_21977]) ).
tff(c_22390,plain,
! [W0_367] :
( ( sdtasdt0(xm,W0_367) = sdtasdt0(W0_367,xm) )
| ~ aNaturalNumber0(W0_367) ),
inference(resolution,[status(thm)],[c_86,c_18113]) ).
tff(c_22447,plain,
sdtasdt0(xm,xl) = sdtasdt0(xl,xm),
inference(resolution,[status(thm)],[c_84,c_22390]) ).
tff(c_22475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22013,c_22447]) ).
tff(c_22476,plain,
sdtasdt0(xm,xn) = sdtasdt0(xm,xl),
inference(splitRight,[status(thm)],[c_18331]) ).
tff(c_22477,plain,
sdtasdt0(xm,xn) != sdtasdt0(xl,xm),
inference(splitRight,[status(thm)],[c_18331]) ).
tff(c_22583,plain,
sdtasdt0(xm,xl) != sdtasdt0(xl,xm),
inference(demodulation,[status(thm),theory(equality)],[c_22476,c_22477]) ).
tff(c_26171,plain,
! [W0_414] :
( ( sdtasdt0(xm,W0_414) = sdtasdt0(W0_414,xm) )
| ~ aNaturalNumber0(W0_414) ),
inference(resolution,[status(thm)],[c_86,c_18113]) ).
tff(c_26228,plain,
sdtasdt0(xm,xl) = sdtasdt0(xl,xm),
inference(resolution,[status(thm)],[c_84,c_26171]) ).
tff(c_26256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22583,c_26228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM462+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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 15:12:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 15.08/5.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.08/5.12
% 15.08/5.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.27/5.16
% 15.27/5.16 Inference rules
% 15.27/5.16 ----------------------
% 15.27/5.16 #Ref : 18
% 15.27/5.16 #Sup : 6092
% 15.27/5.16 #Fact : 12
% 15.27/5.16 #Define : 0
% 15.27/5.16 #Split : 85
% 15.27/5.16 #Chain : 0
% 15.27/5.16 #Close : 0
% 15.27/5.16
% 15.27/5.16 Ordering : KBO
% 15.27/5.16
% 15.27/5.16 Simplification rules
% 15.27/5.16 ----------------------
% 15.27/5.16 #Subsume : 183
% 15.27/5.16 #Demod : 7404
% 15.27/5.16 #Tautology : 2136
% 15.27/5.16 #SimpNegUnit : 702
% 15.27/5.16 #BackRed : 25
% 15.27/5.16
% 15.27/5.16 #Partial instantiations: 0
% 15.27/5.16 #Strategies tried : 1
% 15.27/5.16
% 15.27/5.16 Timing (in seconds)
% 15.27/5.16 ----------------------
% 15.27/5.16 Preprocessing : 0.61
% 15.27/5.16 Parsing : 0.31
% 15.27/5.16 CNF conversion : 0.04
% 15.27/5.16 Main loop : 3.49
% 15.27/5.16 Inferencing : 0.84
% 15.27/5.16 Reduction : 1.64
% 15.27/5.16 Demodulation : 1.30
% 15.27/5.16 BG Simplification : 0.10
% 15.27/5.16 Subsumption : 0.71
% 15.27/5.16 Abstraction : 0.12
% 15.27/5.16 MUC search : 0.00
% 15.27/5.17 Cooper : 0.00
% 15.27/5.17 Total : 4.16
% 15.27/5.17 Index Insertion : 0.00
% 15.27/5.17 Index Deletion : 0.00
% 15.27/5.17 Index Matching : 0.00
% 15.27/5.17 BG Taut test : 0.00
%------------------------------------------------------------------------------