TSTP Solution File: NUM541+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM541+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/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 : n005.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 10:52:03 EDT 2023
% Result : Theorem 10.35s 3.53s
% Output : CNFRefutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 45
% Syntax : Number of formulae : 120 ( 41 unt; 32 typ; 2 def)
% Number of atoms : 199 ( 24 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 202 ( 91 ~; 76 |; 16 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 27 >; 20 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xn > xm > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_5 > #skF_10 > #skF_8 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
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(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $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('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
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(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(xn,type,
xn: $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_463,negated_conjecture,
~ ( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn ) ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| ( xm = xn ) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_443,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1936) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_273,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
tff(f_265,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
tff(f_269,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_388,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzizndt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
tff(f_295,axiom,
! [W0,W1,W2] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& aElementOf0(W2,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
tff(c_214,plain,
( ( xn != xm )
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_262,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_212,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_443]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_136,plain,
! [W0_85] :
( sdtlseqdt0(W0_85,W0_85)
| ~ aElementOf0(W0_85,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_210,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_443]) ).
tff(c_2642,plain,
! [W0_319,W1_320] :
( sdtlseqdt0(szszuzczcdt0(W0_319),szszuzczcdt0(W1_320))
| ~ sdtlseqdt0(W0_319,W1_320)
| ~ aElementOf0(W1_320,szNzAzT0)
| ~ aElementOf0(W0_319,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_224,plain,
( ( xn != xm )
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_287,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(splitLeft,[status(thm)],[c_224]) ).
tff(c_2653,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_2642,c_287]) ).
tff(c_2671,plain,
~ sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_210,c_2653]) ).
tff(c_134,plain,
! [W0_84] :
( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_465,plain,
! [W0_177] :
( aElementOf0(szmzizndt0(W0_177),W0_177)
| ( slcrc0 = W0_177 )
| ~ aSubsetOf0(W0_177,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_112,plain,
! [W0_72] :
( ( szszuzczcdt0(W0_72) != sz00 )
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_483,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_465,c_112]) ).
tff(c_547,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_483]) ).
tff(c_550,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_547]) ).
tff(c_554,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_550]) ).
tff(c_556,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_483]) ).
tff(c_792,plain,
! [W2_220,W0_221,W1_222] :
( aElementOf0(W2_220,W0_221)
| ~ aElementOf0(W2_220,W1_222)
| ~ aSubsetOf0(W1_222,W0_221)
| ~ aSet0(W0_221) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_822,plain,
! [W0_72,W0_221] :
( aElementOf0(szszuzczcdt0(W0_72),W0_221)
| ~ aSubsetOf0(szNzAzT0,W0_221)
| ~ aSet0(W0_221)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_792]) ).
tff(c_246,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xn = xm ) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_583,plain,
~ aElementOf0(xm,slbdtrb0(xn)),
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_242,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(xn))
| ( xn = xm ) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_615,plain,
xn = xm,
inference(negUnitSimplification,[status(thm)],[c_583,c_287,c_242]) ).
tff(c_620,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xm)),
inference(demodulation,[status(thm),theory(equality)],[c_615,c_287]) ).
tff(c_633,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(resolution,[status(thm)],[c_136,c_620]) ).
tff(c_638,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_633]) ).
tff(c_642,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_638]) ).
tff(c_643,plain,
( ( xn = xm )
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_650,plain,
sdtlseqdt0(szszuzczcdt0(xm),xn),
inference(splitLeft,[status(thm)],[c_643]) ).
tff(c_1666,plain,
! [W1_279,W0_280] :
( ( W1_279 = W0_280 )
| ~ sdtlseqdt0(W1_279,W0_280)
| ~ sdtlseqdt0(W0_280,W1_279)
| ~ aElementOf0(W1_279,szNzAzT0)
| ~ aElementOf0(W0_280,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_1686,plain,
( ( szszuzczcdt0(xm) = xn )
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_650,c_1666]) ).
tff(c_1713,plain,
( ( szszuzczcdt0(xm) = xn )
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_1686]) ).
tff(c_1721,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1713]) ).
tff(c_1724,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_822,c_1721]) ).
tff(c_1731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_108,c_556,c_1724]) ).
tff(c_1733,plain,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitRight,[status(thm)],[c_1713]) ).
tff(c_4795,plain,
! [W0_416,W2_417,W1_418] :
( sdtlseqdt0(W0_416,W2_417)
| ~ sdtlseqdt0(W1_418,W2_417)
| ~ sdtlseqdt0(W0_416,W1_418)
| ~ aElementOf0(W2_417,szNzAzT0)
| ~ aElementOf0(W1_418,szNzAzT0)
| ~ aElementOf0(W0_416,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_4823,plain,
! [W0_416] :
( sdtlseqdt0(W0_416,xn)
| ~ sdtlseqdt0(W0_416,szszuzczcdt0(xm))
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(W0_416,szNzAzT0) ),
inference(resolution,[status(thm)],[c_650,c_4795]) ).
tff(c_4877,plain,
! [W0_419] :
( sdtlseqdt0(W0_419,xn)
| ~ sdtlseqdt0(W0_419,szszuzczcdt0(xm))
| ~ aElementOf0(W0_419,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1733,c_210,c_4823]) ).
tff(c_4901,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_4877]) ).
tff(c_4926,plain,
sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_4901]) ).
tff(c_4928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2671,c_4926]) ).
tff(c_4929,plain,
xn = xm,
inference(splitRight,[status(thm)],[c_643]) ).
tff(c_4934,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xm)),
inference(demodulation,[status(thm),theory(equality)],[c_4929,c_287]) ).
tff(c_4953,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(resolution,[status(thm)],[c_136,c_4934]) ).
tff(c_4956,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_4953]) ).
tff(c_4960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_4956]) ).
tff(c_4962,plain,
sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_230,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_5266,plain,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(demodulation,[status(thm),theory(equality)],[c_4962,c_230]) ).
tff(c_5267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_5266]) ).
tff(c_5268,plain,
xn != xm,
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_6414,plain,
! [W1_592,W0_593] :
( sdtlseqdt0(szszuzczcdt0(W1_592),W0_593)
| sdtlseqdt0(W0_593,W1_592)
| ~ aElementOf0(W1_592,szNzAzT0)
| ~ aElementOf0(W0_593,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_228,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_5296,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(splitLeft,[status(thm)],[c_228]) ).
tff(c_5269,plain,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_222,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_5582,plain,
sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(demodulation,[status(thm),theory(equality)],[c_5269,c_222]) ).
tff(c_5583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5296,c_5582]) ).
tff(c_5584,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),xn),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_6421,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_6414,c_5584]) ).
tff(c_6430,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_212,c_6421]) ).
tff(c_6970,plain,
! [W1_633,W0_634] :
( ( W1_633 = W0_634 )
| ~ sdtlseqdt0(W1_633,W0_634)
| ~ sdtlseqdt0(W0_634,W1_633)
| ~ aElementOf0(W1_633,szNzAzT0)
| ~ aElementOf0(W0_634,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_6978,plain,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_6430,c_6970]) ).
tff(c_7006,plain,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_210,c_6978]) ).
tff(c_7007,plain,
~ sdtlseqdt0(xm,xn),
inference(negUnitSimplification,[status(thm)],[c_5268,c_7006]) ).
tff(c_5585,plain,
sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_7143,plain,
! [W0_636,W1_637] :
( sdtlseqdt0(W0_636,W1_637)
| ~ sdtlseqdt0(szszuzczcdt0(W0_636),szszuzczcdt0(W1_637))
| ~ aElementOf0(W1_637,szNzAzT0)
| ~ aElementOf0(W0_636,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_7167,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_5585,c_7143]) ).
tff(c_7178,plain,
sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_210,c_7167]) ).
tff(c_7180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7007,c_7178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM541+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/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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:21:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 10.35/3.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.57/3.54
% 10.57/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.65/3.60
% 10.65/3.60 Inference rules
% 10.65/3.60 ----------------------
% 10.65/3.60 #Ref : 2
% 10.65/3.60 #Sup : 1339
% 10.65/3.60 #Fact : 0
% 10.65/3.60 #Define : 0
% 10.65/3.60 #Split : 54
% 10.65/3.60 #Chain : 0
% 10.65/3.60 #Close : 0
% 10.65/3.60
% 10.65/3.60 Ordering : KBO
% 10.65/3.60
% 10.65/3.60 Simplification rules
% 10.65/3.60 ----------------------
% 10.65/3.60 #Subsume : 340
% 10.65/3.60 #Demod : 1122
% 10.65/3.60 #Tautology : 373
% 10.65/3.60 #SimpNegUnit : 114
% 10.65/3.60 #BackRed : 122
% 10.65/3.60
% 10.65/3.60 #Partial instantiations: 0
% 10.65/3.60 #Strategies tried : 1
% 10.65/3.60
% 10.65/3.60 Timing (in seconds)
% 10.65/3.60 ----------------------
% 10.65/3.60 Preprocessing : 0.73
% 10.65/3.60 Parsing : 0.36
% 10.65/3.60 CNF conversion : 0.06
% 10.65/3.60 Main loop : 1.69
% 10.65/3.60 Inferencing : 0.62
% 10.65/3.60 Reduction : 0.50
% 10.65/3.60 Demodulation : 0.33
% 10.65/3.60 BG Simplification : 0.07
% 10.65/3.60 Subsumption : 0.38
% 10.65/3.60 Abstraction : 0.06
% 10.65/3.60 MUC search : 0.00
% 10.65/3.61 Cooper : 0.00
% 10.65/3.61 Total : 2.50
% 10.65/3.61 Index Insertion : 0.00
% 10.65/3.61 Index Deletion : 0.00
% 10.65/3.61 Index Matching : 0.00
% 10.65/3.61 BG Taut test : 0.00
%------------------------------------------------------------------------------