%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COM020+1 : TPTP v9.0.0. 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 : n010.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 : Wed Apr 9 05:50:36 PM UTC 2025
% Result : Theorem 16.62s 6.63s
% Output : CNFRefutation 16.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 243 ( 1 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 329 ( 150 ~; 136 |; 29 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-4 aty)
% Number of variables : 83 ( 79 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtmndtplgtdt0 > sdtmndtasgtdt0 > aReductOfIn0 > aNormalFormOfIn0 > iLess0 > isTerminating0 > isLocallyConfluent0 > isConfluent0 > aRewritingSystem0 > aElement0 > #nlpp > xw > xv > xu > xd > xc > xb > xa > xR > #skF_9 > #skF_7 > #skF_5 > #skF_1 > #skF_4 > #skF_12 > #skF_8 > #skF_13 > #skF_10 > #skF_2 > #skF_6 > #skF_14 > #skF_3 > #skF_11
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(sdtmndtplgtdt0,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(aReductOfIn0,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(xa,type,
xa: $i ).
tff(xd,type,
xd: $i ).
tff(xw,type,
xw: $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(xu,type,
xu: $i ).
tff(isTerminating0,type,
isTerminating0: $i > $o ).
tff(aNormalFormOfIn0,type,
aNormalFormOfIn0: ( $i * $i * $i ) > $o ).
tff(xR,type,
xR: $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i ) > $i ).
tff(xb,type,
xb: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(aRewritingSystem0,type,
aRewritingSystem0: $i > $o ).
tff(isConfluent0,type,
isConfluent0: $i > $o ).
tff(isLocallyConfluent0,type,
isLocallyConfluent0: $i > $o ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(sdtmndtasgtdt0,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(xv,type,
xv: $i ).
tff(f_233,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
tff(f_206,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
tff(f_198,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
tff(f_201,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
tff(f_75,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W0,W1,W2)
<=> ( aReductOfIn0(W2,W0,W1)
| ? [W3] :
( aElement0(W3)
& aReductOfIn0(W3,W0,W1)
& sdtmndtplgtdt0(W3,W1,W2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
tff(f_172,definition,
! [W0] :
( aRewritingSystem0(W0)
=> ( isTerminating0(W0)
<=> ! [W1,W2] :
( ( aElement0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W1,W0,W2)
=> iLess0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
tff(f_187,definition,
! [W0,W1] :
( ( aElement0(W0)
& aRewritingSystem0(W1) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
tff(f_101,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( ( W0 = W2 )
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
tff(f_251,negated_conjecture,
~ ? [W0] :
( aElement0(W0)
& sdtmndtasgtdt0(xb,xR,W0)
& sdtmndtasgtdt0(xd,xR,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_243,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
tff(f_244,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
tff(f_225,hypothesis,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2)
& sdtmndtasgtdt0(W0,xR,W1)
& sdtmndtasgtdt0(W0,xR,W2) )
=> ( iLess0(W0,xa)
=> ? [W3] :
( aElement0(W3)
& sdtmndtasgtdt0(W1,xR,W3)
& sdtmndtasgtdt0(W2,xR,W3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
tff(f_115,axiom,
! [W0,W1,W2,W3] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2)
& aElement0(W3) )
=> ( ( sdtmndtasgtdt0(W0,W1,W2)
& sdtmndtasgtdt0(W2,W1,W3) )
=> sdtmndtasgtdt0(W0,W1,W3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
tff(c_114,plain,
aElement0(xu),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_98,plain,
aElement0(xa),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_88,plain,
aRewritingSystem0(xR),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_90,plain,
isTerminating0(xR),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_112,plain,
aReductOfIn0(xu,xa,xR),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_14,plain,
! [W2_14,W0_12,W1_13] :
( ~ aReductOfIn0(W2_14,W0_12,W1_13)
| sdtmndtplgtdt0(W0_12,W1_13,W2_14)
| ~ aElement0(W2_14)
| ~ aRewritingSystem0(W1_13)
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_304,plain,
! [W2_147,W1_148,W0_149] :
( iLess0(W2_147,W1_148)
| ~ sdtmndtplgtdt0(W1_148,W0_149,W2_147)
| ~ aElement0(W2_147)
| ~ aElement0(W1_148)
| ~ isTerminating0(W0_149)
| ~ aRewritingSystem0(W0_149) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_350,plain,
! [W2_154,W0_155,W1_156] :
( iLess0(W2_154,W0_155)
| ~ isTerminating0(W1_156)
| ~ aReductOfIn0(W2_154,W0_155,W1_156)
| ~ aElement0(W2_154)
| ~ aRewritingSystem0(W1_156)
| ~ aElement0(W0_155) ),
inference(resolution,[status(thm)],[c_14,c_304]) ).
tff(c_359,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aElement0(xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[c_112,c_350]) ).
tff(c_367,plain,
iLess0(xu,xa),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_88,c_114,c_90,c_359]) ).
tff(c_110,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_82,plain,
! [W0_70,W1_71,W2_77] :
( sdtmndtasgtdt0(W0_70,W1_71,W2_77)
| ~ aNormalFormOfIn0(W2_77,W0_70,W1_71)
| ~ aRewritingSystem0(W1_71)
| ~ aElement0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_140,plain,
! [W2_101,W1_102] :
( sdtmndtasgtdt0(W2_101,W1_102,W2_101)
| ~ aRewritingSystem0(W1_102)
| ~ aElement0(W2_101) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_130,plain,
! [W0_91] :
( ~ sdtmndtasgtdt0(xd,xR,W0_91)
| ~ sdtmndtasgtdt0(xb,xR,W0_91)
| ~ aElement0(W0_91) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_144,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xd) ),
inference(resolution,[status(thm)],[c_140,c_130]) ).
tff(c_147,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
| ~ aElement0(xd) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_144]) ).
tff(c_148,plain,
~ aElement0(xd),
inference(splitLeft,[status(thm)],[c_147]) ).
tff(c_126,plain,
aElement0(xw),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_128,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_153,plain,
! [W2_107,W0_108,W1_109] :
( aElement0(W2_107)
| ~ aNormalFormOfIn0(W2_107,W0_108,W1_109)
| ~ aRewritingSystem0(W1_109)
| ~ aElement0(W0_108) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_156,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c_128,c_153]) ).
tff(c_159,plain,
aElement0(xd),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_88,c_156]) ).
tff(c_161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148,c_159]) ).
tff(c_163,plain,
aElement0(xd),
inference(splitRight,[status(thm)],[c_147]) ).
tff(c_96,plain,
aElement0(xb),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_104,plain,
! [W0_87,W1_88,W2_89] :
( aElement0('#skF_14'(W0_87,W1_88,W2_89))
| ~ iLess0(W0_87,xa)
| ~ sdtmndtasgtdt0(W0_87,xR,W2_89)
| ~ sdtmndtasgtdt0(W0_87,xR,W1_88)
| ~ aElement0(W2_89)
| ~ aElement0(W1_88)
| ~ aElement0(W0_87) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_41684,plain,
! [W2_2081,W0_2082,W1_2083] :
( sdtmndtasgtdt0(W2_2081,xR,'#skF_14'(W0_2082,W1_2083,W2_2081))
| ~ iLess0(W0_2082,xa)
| ~ sdtmndtasgtdt0(W0_2082,xR,W2_2081)
| ~ sdtmndtasgtdt0(W0_2082,xR,W1_2083)
| ~ aElement0(W2_2081)
| ~ aElement0(W1_2083)
| ~ aElement0(W0_2082) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_41494,plain,
! [W1_2073,W0_2074,W2_2075] :
( sdtmndtasgtdt0(W1_2073,xR,'#skF_14'(W0_2074,W1_2073,W2_2075))
| ~ iLess0(W0_2074,xa)
| ~ sdtmndtasgtdt0(W0_2074,xR,W2_2075)
| ~ sdtmndtasgtdt0(W0_2074,xR,W1_2073)
| ~ aElement0(W2_2075)
| ~ aElement0(W1_2073)
| ~ aElement0(W0_2074) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_41519,plain,
! [W0_2074,W2_2075] :
( ~ sdtmndtasgtdt0(xb,xR,'#skF_14'(W0_2074,xd,W2_2075))
| ~ aElement0('#skF_14'(W0_2074,xd,W2_2075))
| ~ iLess0(W0_2074,xa)
| ~ sdtmndtasgtdt0(W0_2074,xR,W2_2075)
| ~ sdtmndtasgtdt0(W0_2074,xR,xd)
| ~ aElement0(W2_2075)
| ~ aElement0(xd)
| ~ aElement0(W0_2074) ),
inference(resolution,[status(thm)],[c_41494,c_130]) ).
tff(c_41540,plain,
! [W0_2074,W2_2075] :
( ~ sdtmndtasgtdt0(xb,xR,'#skF_14'(W0_2074,xd,W2_2075))
| ~ aElement0('#skF_14'(W0_2074,xd,W2_2075))
| ~ iLess0(W0_2074,xa)
| ~ sdtmndtasgtdt0(W0_2074,xR,W2_2075)
| ~ sdtmndtasgtdt0(W0_2074,xR,xd)
| ~ aElement0(W2_2075)
| ~ aElement0(W0_2074) ),
inference(demodulation,[status(thm),theory(equality)],[c_163,c_41519]) ).
tff(c_41688,plain,
! [W0_2082] :
( ~ aElement0('#skF_14'(W0_2082,xd,xb))
| ~ iLess0(W0_2082,xa)
| ~ sdtmndtasgtdt0(W0_2082,xR,xb)
| ~ sdtmndtasgtdt0(W0_2082,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ aElement0(W0_2082) ),
inference(resolution,[status(thm)],[c_41684,c_41540]) ).
tff(c_42034,plain,
! [W0_2099] :
( ~ aElement0('#skF_14'(W0_2099,xd,xb))
| ~ iLess0(W0_2099,xa)
| ~ sdtmndtasgtdt0(W0_2099,xR,xb)
| ~ sdtmndtasgtdt0(W0_2099,xR,xd)
| ~ aElement0(W0_2099) ),
inference(demodulation,[status(thm),theory(equality)],[c_163,c_96,c_41688]) ).
tff(c_42038,plain,
! [W0_87] :
( ~ iLess0(W0_87,xa)
| ~ sdtmndtasgtdt0(W0_87,xR,xb)
| ~ sdtmndtasgtdt0(W0_87,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ aElement0(W0_87) ),
inference(resolution,[status(thm)],[c_104,c_42034]) ).
tff(c_46814,plain,
! [W0_2275] :
( ~ iLess0(W0_2275,xa)
| ~ sdtmndtasgtdt0(W0_2275,xR,xb)
| ~ sdtmndtasgtdt0(W0_2275,xR,xd)
| ~ aElement0(W0_2275) ),
inference(demodulation,[status(thm),theory(equality)],[c_163,c_96,c_42038]) ).
tff(c_46822,plain,
! [W0_70] :
( ~ iLess0(W0_70,xa)
| ~ sdtmndtasgtdt0(W0_70,xR,xb)
| ~ aNormalFormOfIn0(xd,W0_70,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(W0_70) ),
inference(resolution,[status(thm)],[c_82,c_46814]) ).
tff(c_46976,plain,
! [W0_2283] :
( ~ iLess0(W0_2283,xa)
| ~ sdtmndtasgtdt0(W0_2283,xR,xb)
| ~ aNormalFormOfIn0(xd,W0_2283,xR)
| ~ aElement0(W0_2283) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_46822]) ).
tff(c_47006,plain,
( ~ iLess0(xu,xa)
| ~ aNormalFormOfIn0(xd,xu,xR)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[c_110,c_46976]) ).
tff(c_47025,plain,
~ aNormalFormOfIn0(xd,xu,xR),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_367,c_47006]) ).
tff(c_124,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_33014,plain,
! [W0_1647,W1_1648,W3_1649,W2_1650] :
( sdtmndtasgtdt0(W0_1647,W1_1648,W3_1649)
| ~ sdtmndtasgtdt0(W2_1650,W1_1648,W3_1649)
| ~ sdtmndtasgtdt0(W0_1647,W1_1648,W2_1650)
| ~ aElement0(W3_1649)
| ~ aElement0(W2_1650)
| ~ aRewritingSystem0(W1_1648)
| ~ aElement0(W0_1647) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_48976,plain,
! [W0_2369,W1_2370,W2_2371,W0_2372] :
( sdtmndtasgtdt0(W0_2369,W1_2370,W2_2371)
| ~ sdtmndtasgtdt0(W0_2369,W1_2370,W0_2372)
| ~ aElement0(W2_2371)
| ~ aElement0(W0_2369)
| ~ aNormalFormOfIn0(W2_2371,W0_2372,W1_2370)
| ~ aRewritingSystem0(W1_2370)
| ~ aElement0(W0_2372) ),
inference(resolution,[status(thm)],[c_82,c_33014]) ).
tff(c_49034,plain,
! [W2_2371] :
( sdtmndtasgtdt0(xu,xR,W2_2371)
| ~ aElement0(W2_2371)
| ~ aElement0(xu)
| ~ aNormalFormOfIn0(W2_2371,xw,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c_124,c_48976]) ).
tff(c_49224,plain,
! [W2_2376] :
( sdtmndtasgtdt0(xu,xR,W2_2376)
| ~ aElement0(W2_2376)
| ~ aNormalFormOfIn0(W2_2376,xw,xR) ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_88,c_114,c_49034]) ).
tff(c_41248,plain,
! [W2_2060,W0_2061,W1_2062] :
( aNormalFormOfIn0(W2_2060,W0_2061,W1_2062)
| aReductOfIn0('#skF_12'(W0_2061,W1_2062,W2_2060),W2_2060,W1_2062)
| ~ sdtmndtasgtdt0(W0_2061,W1_2062,W2_2060)
| ~ aElement0(W2_2060)
| ~ aRewritingSystem0(W1_2062)
| ~ aElement0(W0_2061) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_80,plain,
! [W3_80,W2_77,W1_71,W0_70] :
( ~ aReductOfIn0(W3_80,W2_77,W1_71)
| ~ aNormalFormOfIn0(W2_77,W0_70,W1_71)
| ~ aRewritingSystem0(W1_71)
| ~ aElement0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_47624,plain,
! [W2_2317,W0_2318,W1_2319,W0_2320] :
( ~ aNormalFormOfIn0(W2_2317,W0_2318,W1_2319)
| ~ aElement0(W0_2318)
| aNormalFormOfIn0(W2_2317,W0_2320,W1_2319)
| ~ sdtmndtasgtdt0(W0_2320,W1_2319,W2_2317)
| ~ aElement0(W2_2317)
| ~ aRewritingSystem0(W1_2319)
| ~ aElement0(W0_2320) ),
inference(resolution,[status(thm)],[c_41248,c_80]) ).
tff(c_47628,plain,
! [W0_2320] :
( ~ aElement0(xw)
| aNormalFormOfIn0(xd,W0_2320,xR)
| ~ sdtmndtasgtdt0(W0_2320,xR,xd)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(W0_2320) ),
inference(resolution,[status(thm)],[c_128,c_47624]) ).
tff(c_47632,plain,
! [W0_2320] :
( aNormalFormOfIn0(xd,W0_2320,xR)
| ~ sdtmndtasgtdt0(W0_2320,xR,xd)
| ~ aElement0(W0_2320) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_163,c_126,c_47628]) ).
tff(c_49230,plain,
( aNormalFormOfIn0(xd,xu,xR)
| ~ aElement0(xu)
| ~ aElement0(xd)
| ~ aNormalFormOfIn0(xd,xw,xR) ),
inference(resolution,[status(thm)],[c_49224,c_47632]) ).
tff(c_49293,plain,
aNormalFormOfIn0(xd,xu,xR),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_163,c_114,c_49230]) ).
tff(c_49295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47025,c_49293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM020+1 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.14 % 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
% 0.14/0.35 % Computer : n010.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
% 0.14/0.35 % DateTime : Mon Apr 7 16:13:32 EDT 2025
% 0.14/0.35 % CPUTime :
% 16.62/6.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.62/6.64
% 16.62/6.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------