%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS168+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/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 : n009.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 07:08:09 PM UTC 2025
% Result : Theorem 3.88s 2.08s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 278 ( 128 unt; 0 typ; 0 def)
% Number of atoms : 858 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 985 ( 405 ~; 572 |; 5 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 9 ( 9 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cB > cA > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA,type,
cA: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cB,type,
cB: $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_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('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_65,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ( ~ cB(X)
& ~ cA(X) )
<=> ~ ( cA(X)
| cB(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
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_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_116,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44]) ).
tff(c_188,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_116]) ).
tff(c_197,plain,
~ cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_188]) ).
tff(c_70,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_70]) ).
tff(c_124,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84]) ).
tff(c_198,plain,
~ cB('#skF_6'),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_18,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_110,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_18]) ).
tff(c_176,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_110]) ).
tff(c_199,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_176]) ).
tff(c_200,plain,
~ cB('#skF_5'),
inference(splitLeft,[status(thm)],[c_199]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_103,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_32]) ).
tff(c_162,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_201,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_162]) ).
tff(c_202,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_201]) ).
tff(c_12,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_113,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_12]) ).
tff(c_182,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_113]) ).
tff(c_217,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_200,c_202,c_182]) ).
tff(c_218,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_217]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_10,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_114,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_10]) ).
tff(c_184,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114]) ).
tff(c_219,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_200,c_202,c_184]) ).
tff(c_220,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_219]) ).
tff(c_223,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_220]) ).
tff(c_227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218,c_223]) ).
tff(c_228,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_219]) ).
tff(c_229,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_219]) ).
tff(c_14,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_14]) ).
tff(c_180,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_112]) ).
tff(c_236,plain,
( xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_229,c_180]) ).
tff(c_237,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_200,c_202,c_236]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_240,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_237,c_6]) ).
tff(c_244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_228,c_240]) ).
tff(c_245,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_246,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_16,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_111,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).
tff(c_178,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111]) ).
tff(c_250,plain,
( xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_246,c_178]) ).
tff(c_251,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_200,c_202,c_250]) ).
tff(c_254,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_251,c_6]) ).
tff(c_258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_245,c_254]) ).
tff(c_259,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_201]) ).
tff(c_261,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_259]) ).
tff(c_260,plain,
cA('#skF_5'),
inference(splitRight,[status(thm)],[c_201]) ).
tff(c_26,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_106,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_168,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_106]) ).
tff(c_263,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_260,c_168]) ).
tff(c_264,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_263]) ).
tff(c_265,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_264]) ).
tff(c_268,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_265]) ).
tff(c_272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_261,c_268]) ).
tff(c_273,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_264]) ).
tff(c_274,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_264]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_104,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_30]) ).
tff(c_164,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104]) ).
tff(c_286,plain,
( xsd_string('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_260,c_274,c_164]) ).
tff(c_287,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_286]) ).
tff(c_290,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_287,c_6]) ).
tff(c_294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_273,c_290]) ).
tff(c_295,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_259]) ).
tff(c_300,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_295,c_6]) ).
tff(c_296,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_259]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_105,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
tff(c_166,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105]) ).
tff(c_338,plain,
( xsd_integer('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_260,c_296,c_166]) ).
tff(c_339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_300,c_338]) ).
tff(c_341,plain,
cB('#skF_5'),
inference(splitRight,[status(thm)],[c_199]) ).
tff(c_340,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_199]) ).
tff(c_344,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_340]) ).
tff(c_348,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_344]) ).
tff(c_20,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_109,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
tff(c_174,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109]) ).
tff(c_362,plain,
( xsd_integer('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_341,c_348,c_174]) ).
tff(c_363,plain,
xsd_integer('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_362]) ).
tff(c_24,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_107,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_24]) ).
tff(c_170,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107]) ).
tff(c_368,plain,
( xsd_string('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_341,c_348,c_170]) ).
tff(c_369,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_368]) ).
tff(c_372,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_369,c_6]) ).
tff(c_376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_372]) ).
tff(c_377,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_340]) ).
tff(c_378,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_340]) ).
tff(c_22,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_108,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_22]) ).
tff(c_172,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_108]) ).
tff(c_384,plain,
( xsd_string('#skF_4')
| cB('#skF_6')
| cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_341,c_378,c_172]) ).
tff(c_385,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_197,c_198,c_384]) ).
tff(c_388,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_385,c_6]) ).
tff(c_392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_388]) ).
tff(c_394,plain,
cB('#skF_6'),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_393,plain,
( ~ cB('#skF_5')
| ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_395,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_393]) ).
tff(c_399,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_395]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_83,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_72]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_83]) ).
tff(c_408,plain,
( xsd_string('#skF_4')
| ~ cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_399,c_122]) ).
tff(c_409,plain,
~ cB('#skF_5'),
inference(splitLeft,[status(thm)],[c_408]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_81,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_76]) ).
tff(c_118,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81]) ).
tff(c_405,plain,
( xsd_integer('#skF_4')
| ~ cA('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_399,c_118]) ).
tff(c_406,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_405]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_89,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_60]) ).
tff(c_134,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89]) ).
tff(c_446,plain,
( xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_399,c_134]) ).
tff(c_447,plain,
xsd_integer('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_409,c_406,c_446]) ).
tff(c_64,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_115,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_64]) ).
tff(c_186,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115]) ).
tff(c_458,plain,
( xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_399,c_186]) ).
tff(c_459,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_409,c_406,c_458]) ).
tff(c_462,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_459,c_6]) ).
tff(c_466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_447,c_462]) ).
tff(c_467,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_472,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_467,c_6]) ).
tff(c_468,plain,
cB('#skF_5'),
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_85,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_68]) ).
tff(c_126,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85]) ).
tff(c_481,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_468,c_399,c_126]) ).
tff(c_482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_472,c_481]) ).
tff(c_483,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_405]) ).
tff(c_484,plain,
cA('#skF_5'),
inference(splitRight,[status(thm)],[c_405]) ).
tff(c_80,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_82,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_80]) ).
tff(c_120,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82]) ).
tff(c_496,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_484,c_399,c_120]) ).
tff(c_499,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_496,c_6]) ).
tff(c_503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_483,c_499]) ).
tff(c_504,plain,
( ~ cB('#skF_5')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_393]) ).
tff(c_512,plain,
~ cB('#skF_5'),
inference(splitLeft,[status(thm)],[c_504]) ).
tff(c_505,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_393]) ).
tff(c_74,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_97,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_74]) ).
tff(c_150,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97]) ).
tff(c_526,plain,
( xsd_integer('#skF_4')
| ~ cA('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_505,c_150]) ).
tff(c_527,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_526]) ).
tff(c_62,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_98,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_62]) ).
tff(c_152,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98]) ).
tff(c_536,plain,
( xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_505,c_152]) ).
tff(c_537,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_512,c_527,c_536]) ).
tff(c_541,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_537,c_6]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_90,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_58]) ).
tff(c_136,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_90]) ).
tff(c_570,plain,
( xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_505,c_136]) ).
tff(c_571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_512,c_527,c_541,c_570]) ).
tff(c_572,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_526]) ).
tff(c_78,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_87,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_78]) ).
tff(c_130,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87]) ).
tff(c_575,plain,
( xsd_string('#skF_4')
| ~ cA('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_505,c_130]) ).
tff(c_576,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_575]) ).
tff(c_573,plain,
cA('#skF_5'),
inference(splitRight,[status(thm)],[c_526]) ).
tff(c_577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_576,c_573]) ).
tff(c_578,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_575]) ).
tff(c_582,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_578,c_6]) ).
tff(c_586,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_572,c_582]) ).
tff(c_587,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_592,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_587,c_6]) ).
tff(c_588,plain,
cB('#skF_5'),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_66,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_66]) ).
tff(c_128,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cB('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86]) ).
tff(c_603,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_588,c_505,c_128]) ).
tff(c_604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_592,c_603]) ).
tff(c_605,plain,
( ~ cB('#skF_5')
| ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_607,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_605]) ).
tff(c_606,plain,
cA('#skF_6'),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_96,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_46]) ).
tff(c_148,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96]) ).
tff(c_621,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_148]) ).
tff(c_622,plain,
~ cB('#skF_5'),
inference(splitLeft,[status(thm)],[c_621]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_50]) ).
tff(c_144,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94]) ).
tff(c_610,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_144]) ).
tff(c_611,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_610]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_100,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_156,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100]) ).
tff(c_631,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_156]) ).
tff(c_632,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_622,c_611,c_631]) ).
tff(c_633,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_632]) ).
tff(c_636,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_633]) ).
tff(c_640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_607,c_636]) ).
tff(c_641,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_632]) ).
tff(c_652,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_641,c_6]) ).
tff(c_642,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_632]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_102,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_160,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102]) ).
tff(c_654,plain,
( xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_642,c_160]) ).
tff(c_655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_622,c_611,c_652,c_654]) ).
tff(c_657,plain,
cB('#skF_5'),
inference(splitRight,[status(thm)],[c_621]) ).
tff(c_656,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_621]) ).
tff(c_658,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_656]) ).
tff(c_661,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_658]) ).
tff(c_665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_607,c_661]) ).
tff(c_667,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_656]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_88,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_132,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88]) ).
tff(c_677,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_657,c_667,c_132]) ).
tff(c_666,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_656]) ).
tff(c_675,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_666,c_6]) ).
tff(c_679,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_677,c_675]) ).
tff(c_680,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_610]) ).
tff(c_682,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_680]) ).
tff(c_685,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_682]) ).
tff(c_689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_607,c_685]) ).
tff(c_690,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_680]) ).
tff(c_681,plain,
cA('#skF_5'),
inference(splitRight,[status(thm)],[c_610]) ).
tff(c_691,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_680]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_54]) ).
tff(c_140,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92]) ).
tff(c_699,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_681,c_691,c_140]) ).
tff(c_702,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_699,c_6]) ).
tff(c_706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_690,c_702]) ).
tff(c_707,plain,
( ~ cB('#skF_5')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_605]) ).
tff(c_712,plain,
~ cB('#skF_5'),
inference(splitLeft,[status(thm)],[c_707]) ).
tff(c_708,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_605]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_93,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_52]) ).
tff(c_142,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93]) ).
tff(c_710,plain,
( xsd_integer('#skF_4')
| ~ cA('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_708,c_142]) ).
tff(c_711,plain,
~ cA('#skF_5'),
inference(splitLeft,[status(thm)],[c_710]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_99,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_154,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99]) ).
tff(c_759,plain,
( xsd_string('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_708,c_154]) ).
tff(c_760,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_712,c_711,c_759]) ).
tff(c_764,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_760,c_6]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_101,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_158,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101]) ).
tff(c_772,plain,
( xsd_integer('#skF_4')
| cA('#skF_5')
| cB('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_708,c_158]) ).
tff(c_773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_712,c_711,c_764,c_772]) ).
tff(c_774,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_707]) ).
tff(c_775,plain,
cB('#skF_5'),
inference(splitRight,[status(thm)],[c_707]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_95,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_48]) ).
tff(c_146,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cB('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95]) ).
tff(c_783,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_775,c_708,c_146]) ).
tff(c_786,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_783,c_6]) ).
tff(c_790,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_786]) ).
tff(c_791,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_710]) ).
tff(c_792,plain,
cA('#skF_5'),
inference(splitRight,[status(thm)],[c_710]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_91,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_56]) ).
tff(c_138,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_5')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91]) ).
tff(c_813,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_606,c_792,c_708,c_138]) ).
tff(c_816,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_813,c_6]) ).
tff(c_820,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_791,c_816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS168+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 03:00:41 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.88/2.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/2.12
% 4.32/2.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------