TSTP Solution File: KRS131+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS131+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n011.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 10:45:15 EDT 2023
% Result : Theorem 3.76s 1.86s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 178 ( 69 unt; 18 typ; 0 def)
% Number of atoms : 407 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 434 ( 187 ~; 234 |; 5 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 12 >; 2 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 39 (; 36 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rq > rp > xsd_string > xsd_integer > cowlThing > cowlNothing > cnotA > cNothing > cA > #nlpp > #skF_2 > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA,type,
cA: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(rq,type,
rq: ( $i * $i ) > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cnotA,type,
cnotA: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(cNothing,type,
cNothing: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_69,axiom,
! [X] :
( cnotA(X)
<=> ! [Y] :
( rq(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_34,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_48,axiom,
! [X] :
( cA(X)
<=> ? [Y] :
( rq(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_90,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cnotA(X)
<=> ~ cA(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_40,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_61,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_55,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(c_131,plain,
! [X_28] :
( rq(X_28,'#skF_3'(X_28))
| cnotA(X_28) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_10,plain,
! [X_3,Y_6] :
( cA(X_3)
| ~ cowlThing(Y_6)
| ~ rq(X_3,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_74,plain,
! [X_3,Y_6] :
( cA(X_3)
| ~ rq(X_3,Y_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10]) ).
tff(c_136,plain,
! [X_29] :
( cA(X_29)
| cnotA(X_29) ),
inference(resolution,[status(thm)],[c_131,c_74]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_48]) ).
tff(c_99,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68]) ).
tff(c_125,plain,
~ cnotA('#skF_8'),
inference(splitLeft,[status(thm)],[c_99]) ).
tff(c_140,plain,
cA('#skF_8'),
inference(resolution,[status(thm)],[c_136,c_125]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_65,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_93,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65]) ).
tff(c_157,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_93]) ).
tff(c_158,plain,
~ xsd_integer('#skF_6'),
inference(splitLeft,[status(thm)],[c_157]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_70,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_103,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70]) ).
tff(c_160,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_103]) ).
tff(c_161,plain,
~ xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_160]) ).
tff(c_164,plain,
xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_8,c_161]) ).
tff(c_168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158,c_164]) ).
tff(c_169,plain,
( cA('#skF_9')
| xsd_integer('#skF_7') ),
inference(splitRight,[status(thm)],[c_160]) ).
tff(c_175,plain,
xsd_integer('#skF_7'),
inference(splitLeft,[status(thm)],[c_169]) ).
tff(c_170,plain,
xsd_string('#skF_6'),
inference(splitRight,[status(thm)],[c_160]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_67,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_97,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67]) ).
tff(c_191,plain,
( xsd_string('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_170,c_97]) ).
tff(c_192,plain,
cA('#skF_9'),
inference(splitLeft,[status(thm)],[c_191]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_66,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_54]) ).
tff(c_95,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66]) ).
tff(c_196,plain,
( xsd_string('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_170,c_95]) ).
tff(c_197,plain,
cnotA('#skF_9'),
inference(splitLeft,[status(thm)],[c_196]) ).
tff(c_14,plain,
! [X_3] :
( rq(X_3,'#skF_1'(X_3))
| ~ cA(X_3) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_119,plain,
! [X_25] :
( rp(X_25,'#skF_2'(X_25))
| ~ cNothing(X_25) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_16,plain,
! [X_7,Y_9] :
( ~ rp(X_7,Y_9)
| ~ cNothing(X_7) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_123,plain,
! [X_25] : ~ cNothing(X_25),
inference(resolution,[status(thm)],[c_119,c_16]) ).
tff(c_20,plain,
! [Y_15,X_12] :
( cNothing(Y_15)
| ~ rq(X_12,Y_15)
| ~ cnotA(X_12) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_142,plain,
! [X_30,Y_31] :
( ~ rq(X_30,Y_31)
| ~ cnotA(X_30) ),
inference(negUnitSimplification,[status(thm)],[c_123,c_20]) ).
tff(c_150,plain,
! [X_3] :
( ~ cnotA(X_3)
| ~ cA(X_3) ),
inference(resolution,[status(thm)],[c_14,c_142]) ).
tff(c_200,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_197,c_150]) ).
tff(c_204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_200]) ).
tff(c_205,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_196]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_214,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_205,c_6]) ).
tff(c_218,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_214]) ).
tff(c_219,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_223,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_219,c_6]) ).
tff(c_227,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_223]) ).
tff(c_228,plain,
cA('#skF_9'),
inference(splitRight,[status(thm)],[c_169]) ).
tff(c_229,plain,
~ xsd_integer('#skF_7'),
inference(splitRight,[status(thm)],[c_169]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_50]) ).
tff(c_79,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58]) ).
tff(c_244,plain,
( xsd_integer('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_170,c_79]) ).
tff(c_245,plain,
cnotA('#skF_9'),
inference(negUnitSimplification,[status(thm)],[c_229,c_244]) ).
tff(c_248,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_245,c_150]) ).
tff(c_252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_228,c_248]) ).
tff(c_253,plain,
( cA('#skF_9')
| xsd_string('#skF_7') ),
inference(splitRight,[status(thm)],[c_157]) ).
tff(c_255,plain,
xsd_string('#skF_7'),
inference(splitLeft,[status(thm)],[c_253]) ).
tff(c_259,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_255,c_6]) ).
tff(c_254,plain,
xsd_integer('#skF_6'),
inference(splitRight,[status(thm)],[c_157]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_52]) ).
tff(c_83,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60]) ).
tff(c_268,plain,
( xsd_integer('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_254,c_83]) ).
tff(c_269,plain,
cnotA('#skF_9'),
inference(negUnitSimplification,[status(thm)],[c_259,c_268]) ).
tff(c_273,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_269,c_150]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_69,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_101,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69]) ).
tff(c_285,plain,
( xsd_integer('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_254,c_101]) ).
tff(c_286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_273,c_259,c_285]) ).
tff(c_287,plain,
cA('#skF_9'),
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_288,plain,
~ xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_59,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_56]) ).
tff(c_81,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59]) ).
tff(c_305,plain,
( xsd_string('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_254,c_81]) ).
tff(c_306,plain,
cnotA('#skF_9'),
inference(negUnitSimplification,[status(thm)],[c_288,c_305]) ).
tff(c_309,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_306,c_150]) ).
tff(c_313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_287,c_309]) ).
tff(c_314,plain,
( ~ xsd_integer('#skF_6')
| cnotA('#skF_9')
| xsd_string('#skF_7') ),
inference(splitRight,[status(thm)],[c_99]) ).
tff(c_322,plain,
~ xsd_integer('#skF_6'),
inference(splitLeft,[status(thm)],[c_314]) ).
tff(c_315,plain,
cnotA('#skF_8'),
inference(splitRight,[status(thm)],[c_99]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_91,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64]) ).
tff(c_349,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_91]) ).
tff(c_350,plain,
~ xsd_string('#skF_6'),
inference(splitLeft,[status(thm)],[c_349]) ).
tff(c_353,plain,
xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_8,c_350]) ).
tff(c_357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322,c_353]) ).
tff(c_358,plain,
( cnotA('#skF_9')
| xsd_integer('#skF_7') ),
inference(splitRight,[status(thm)],[c_349]) ).
tff(c_364,plain,
xsd_integer('#skF_7'),
inference(splitLeft,[status(thm)],[c_358]) ).
tff(c_359,plain,
xsd_string('#skF_6'),
inference(splitRight,[status(thm)],[c_349]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_61,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_30]) ).
tff(c_85,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61]) ).
tff(c_374,plain,
( xsd_string('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_359,c_85]) ).
tff(c_375,plain,
cA('#skF_9'),
inference(splitLeft,[status(thm)],[c_374]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_71,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_46]) ).
tff(c_105,plain,
( ~ xsd_string('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_71]) ).
tff(c_383,plain,
( xsd_string('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_359,c_105]) ).
tff(c_384,plain,
cnotA('#skF_9'),
inference(splitLeft,[status(thm)],[c_383]) ).
tff(c_330,plain,
! [X_36,Y_37] :
( ~ rq(X_36,Y_37)
| ~ cnotA(X_36) ),
inference(negUnitSimplification,[status(thm)],[c_123,c_20]) ).
tff(c_337,plain,
! [X_3] :
( ~ cnotA(X_3)
| ~ cA(X_3) ),
inference(resolution,[status(thm)],[c_14,c_330]) ).
tff(c_387,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_384,c_337]) ).
tff(c_391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_375,c_387]) ).
tff(c_392,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_401,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_392,c_6]) ).
tff(c_405,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_364,c_401]) ).
tff(c_406,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_374]) ).
tff(c_410,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_406,c_6]) ).
tff(c_414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_364,c_410]) ).
tff(c_415,plain,
cnotA('#skF_9'),
inference(splitRight,[status(thm)],[c_358]) ).
tff(c_420,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_415,c_337]) ).
tff(c_416,plain,
~ xsd_integer('#skF_7'),
inference(splitRight,[status(thm)],[c_358]) ).
tff(c_26,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_63,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_89,plain,
( ~ xsd_string('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63]) ).
tff(c_425,plain,
( xsd_integer('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_359,c_89]) ).
tff(c_426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_425]) ).
tff(c_427,plain,
( xsd_string('#skF_7')
| cnotA('#skF_9') ),
inference(splitRight,[status(thm)],[c_314]) ).
tff(c_429,plain,
cnotA('#skF_9'),
inference(splitLeft,[status(thm)],[c_427]) ).
tff(c_436,plain,
! [X_40,Y_41] :
( ~ rq(X_40,Y_41)
| ~ cnotA(X_40) ),
inference(negUnitSimplification,[status(thm)],[c_123,c_20]) ).
tff(c_445,plain,
! [X_42] :
( ~ cnotA(X_42)
| ~ cA(X_42) ),
inference(resolution,[status(thm)],[c_14,c_436]) ).
tff(c_455,plain,
~ cA('#skF_9'),
inference(resolution,[status(thm)],[c_429,c_445]) ).
tff(c_428,plain,
xsd_integer('#skF_6'),
inference(splitRight,[status(thm)],[c_314]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_62,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
tff(c_87,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62]) ).
tff(c_484,plain,
( xsd_integer('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_428,c_87]) ).
tff(c_485,plain,
xsd_integer('#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_455,c_484]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_32]) ).
tff(c_107,plain,
( ~ xsd_integer('#skF_6')
| xsd_string('#skF_7')
| ~ cnotA('#skF_8')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72]) ).
tff(c_491,plain,
( xsd_string('#skF_7')
| cA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_428,c_107]) ).
tff(c_492,plain,
xsd_string('#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_455,c_491]) ).
tff(c_495,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_492,c_6]) ).
tff(c_499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_485,c_495]) ).
tff(c_501,plain,
~ cnotA('#skF_9'),
inference(splitRight,[status(thm)],[c_427]) ).
tff(c_500,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_427]) ).
tff(c_505,plain,
~ xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_500,c_6]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5')
| cowlNothing('#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_57,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9')
| ~ cowlThing('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44]) ).
tff(c_77,plain,
( ~ xsd_integer('#skF_6')
| xsd_integer('#skF_7')
| ~ cnotA('#skF_8')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57]) ).
tff(c_567,plain,
( xsd_integer('#skF_7')
| cnotA('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_315,c_428,c_77]) ).
tff(c_568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_501,c_505,c_567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS131+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 20:07:36 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.76/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.88
% 3.76/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/1.93
% 3.76/1.93 Inference rules
% 3.76/1.93 ----------------------
% 3.76/1.93 #Ref : 0
% 3.76/1.93 #Sup : 48
% 3.76/1.93 #Fact : 0
% 3.76/1.93 #Define : 0
% 3.76/1.93 #Split : 15
% 3.76/1.93 #Chain : 0
% 3.76/1.93 #Close : 0
% 3.76/1.93
% 3.76/1.93 Ordering : KBO
% 3.76/1.93
% 3.76/1.93 Simplification rules
% 3.76/1.93 ----------------------
% 3.76/1.93 #Subsume : 58
% 3.76/1.93 #Demod : 157
% 3.76/1.93 #Tautology : 28
% 3.76/1.93 #SimpNegUnit : 54
% 3.76/1.93 #BackRed : 0
% 3.76/1.93
% 3.76/1.93 #Partial instantiations: 0
% 3.76/1.93 #Strategies tried : 1
% 3.76/1.93
% 3.76/1.93 Timing (in seconds)
% 3.76/1.93 ----------------------
% 3.76/1.93 Preprocessing : 0.45
% 3.76/1.93 Parsing : 0.24
% 3.76/1.93 CNF conversion : 0.03
% 3.76/1.93 Main loop : 0.38
% 3.76/1.93 Inferencing : 0.12
% 3.76/1.93 Reduction : 0.10
% 3.76/1.93 Demodulation : 0.06
% 3.76/1.93 BG Simplification : 0.03
% 3.76/1.93 Subsumption : 0.10
% 3.76/1.93 Abstraction : 0.02
% 3.76/1.93 MUC search : 0.00
% 3.76/1.93 Cooper : 0.00
% 3.76/1.93 Total : 0.92
% 3.76/1.93 Index Insertion : 0.00
% 3.76/1.93 Index Deletion : 0.00
% 3.76/1.93 Index Matching : 0.00
% 3.76/1.93 BG Taut test : 0.00
%------------------------------------------------------------------------------