%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS166+1 : TPTP v9.0.0. 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 : n025.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 07:08:08 PM UTC 2025
% Result : Theorem 3.07s 1.80s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 141 ( 66 unt; 0 typ; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 393 ( 163 ~; 221 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cCar > cAutomobile > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(cCar,type,
cCar: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cAutomobile,type,
cAutomobile: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_44,axiom,
! [X] :
( cAutomobile(X)
=> cCar(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_69,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cCar(X)
<=> cAutomobile(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_49,axiom,
! [X] :
( cCar(X)
=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(c_10,plain,
! [X_3] :
( cCar(X_3)
| ~ cAutomobile(X_3) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_57,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_30]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57]) ).
tff(c_107,plain,
~ cCar('#skF_5'),
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_111,plain,
~ cAutomobile('#skF_5'),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_58,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
tff(c_88,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58]) ).
tff(c_112,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_88]) ).
tff(c_113,plain,
~ cAutomobile('#skF_6'),
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_59,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_90,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59]) ).
tff(c_116,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cCar('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_90]) ).
tff(c_117,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_121,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_117]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_45,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_62,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_125,plain,
( xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_62]) ).
tff(c_126,plain,
( xsd_integer('#skF_4')
| cCar('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_125]) ).
tff(c_127,plain,
cCar('#skF_6'),
inference(splitLeft,[status(thm)],[c_126]) ).
tff(c_12,plain,
! [X_4] :
( cAutomobile(X_4)
| ~ cCar(X_4) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_130,plain,
cAutomobile('#skF_6'),
inference(resolution,[status(thm)],[c_127,c_12]) ).
tff(c_134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113,c_130]) ).
tff(c_135,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_136,plain,
~ cCar('#skF_6'),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_49,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44]) ).
tff(c_70,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49]) ).
tff(c_151,plain,
( xsd_string('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_70]) ).
tff(c_152,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_136,c_111,c_151]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_155,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_152,c_6]) ).
tff(c_159,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135,c_155]) ).
tff(c_160,plain,
( cCar('#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_166,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_160]) ).
tff(c_170,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_166,c_6]) ).
tff(c_161,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_68,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48]) ).
tff(c_176,plain,
( xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_68]) ).
tff(c_177,plain,
cCar('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_111,c_170,c_176]) ).
tff(c_180,plain,
cAutomobile('#skF_6'),
inference(resolution,[status(thm)],[c_177,c_12]) ).
tff(c_184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113,c_180]) ).
tff(c_185,plain,
cCar('#skF_6'),
inference(splitRight,[status(thm)],[c_160]) ).
tff(c_189,plain,
cAutomobile('#skF_6'),
inference(resolution,[status(thm)],[c_185,c_12]) ).
tff(c_193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113,c_189]) ).
tff(c_194,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_196,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_194]) ).
tff(c_201,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cCar('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_68]) ).
tff(c_202,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_201]) ).
tff(c_205,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_202]) ).
tff(c_209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_205]) ).
tff(c_210,plain,
( cCar('#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_201]) ).
tff(c_216,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_210]) ).
tff(c_195,plain,
cAutomobile('#skF_6'),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_211,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_201]) ).
tff(c_26,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_60,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60]) ).
tff(c_238,plain,
( xsd_string('#skF_4')
| cAutomobile('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_211,c_92]) ).
tff(c_239,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_111,c_238]) ).
tff(c_242,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_239,c_6]) ).
tff(c_246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_216,c_242]) ).
tff(c_248,plain,
~ xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_22,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_22]) ).
tff(c_76,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52]) ).
tff(c_258,plain,
( xsd_integer('#skF_4')
| cAutomobile('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_211,c_76]) ).
tff(c_259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_248,c_258]) ).
tff(c_260,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_194]) ).
tff(c_265,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_260,c_6]) ).
tff(c_261,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_194]) ).
tff(c_24,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_51,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_24]) ).
tff(c_74,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cAutomobile('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51]) ).
tff(c_287,plain,
( xsd_integer('#skF_4')
| cAutomobile('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_261,c_74]) ).
tff(c_288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_265,c_287]) ).
tff(c_290,plain,
cCar('#skF_5'),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_289,plain,
( ~ xsd_string('#skF_3')
| cCar('#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_295,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_289]) ).
tff(c_299,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_295]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_47,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_32]) ).
tff(c_66,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47]) ).
tff(c_303,plain,
( xsd_integer('#skF_4')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_299,c_66]) ).
tff(c_304,plain,
cCar('#skF_6'),
inference(splitLeft,[status(thm)],[c_303]) ).
tff(c_308,plain,
cAutomobile('#skF_6'),
inference(resolution,[status(thm)],[c_304,c_12]) ).
tff(c_16,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_55,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).
tff(c_82,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55]) ).
tff(c_311,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_290,c_299,c_82]) ).
tff(c_20,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_53,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
tff(c_78,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53]) ).
tff(c_313,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_290,c_299,c_78]) ).
tff(c_316,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_313,c_6]) ).
tff(c_320,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_311,c_316]) ).
tff(c_321,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_322,plain,
~ cCar('#skF_6'),
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_50,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50]) ).
tff(c_340,plain,
( xsd_string('#skF_4')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_299,c_72]) ).
tff(c_341,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_322,c_340]) ).
tff(c_344,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_341,c_6]) ).
tff(c_348,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_344]) ).
tff(c_349,plain,
( xsd_integer('#skF_4')
| cCar('#skF_6') ),
inference(splitRight,[status(thm)],[c_289]) ).
tff(c_357,plain,
cCar('#skF_6'),
inference(splitLeft,[status(thm)],[c_349]) ).
tff(c_361,plain,
cAutomobile('#skF_6'),
inference(resolution,[status(thm)],[c_357,c_12]) ).
tff(c_350,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_289]) ).
tff(c_18,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_18]) ).
tff(c_80,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54]) ).
tff(c_368,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_361,c_290,c_350,c_80]) ).
tff(c_372,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_368,c_6]) ).
tff(c_14,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_14]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar('#skF_5')
| ~ cAutomobile('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56]) ).
tff(c_374,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_361,c_290,c_350,c_84]) ).
tff(c_375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372,c_374]) ).
tff(c_376,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_349]) ).
tff(c_377,plain,
~ cCar('#skF_6'),
inference(splitRight,[status(thm)],[c_349]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cCar('#skF_5')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46]) ).
tff(c_408,plain,
( xsd_string('#skF_4')
| cCar('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_350,c_64]) ).
tff(c_409,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_377,c_408]) ).
tff(c_412,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_409,c_6]) ).
tff(c_416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_376,c_412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS166+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.13 % 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
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Apr 8 03:01:05 EDT 2025
% 0.14/0.34 % CPUTime :
% 3.07/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.81
% 3.07/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------