TSTP Solution File: KRS150+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS150+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 : n004.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 10:45:18 EDT 2023
% Result : Theorem 4.22s 1.97s
% Output : CNFRefutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 43
% Syntax : Number of formulae : 133 ( 52 unt; 27 typ; 0 def)
% Number of atoms : 406 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 579 ( 279 ~; 276 |; 17 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-1 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC8 > cC6 > cC4 > cC2 > cC18 > cC16 > cC14 > cC12 > cC10 > #nlpp > iV16562 > iV16561 > iV16560 > #skF_2 > #skF_4 > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_8 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC8,type,
cC8: $i > $o ).
tff(cTOP,type,
cTOP: $i > $o ).
tff(cC14,type,
cC14: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cC2,type,
cC2: $i > $o ).
tff(iV16560,type,
iV16560: $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cC16,type,
cC16: $i > $o ).
tff(cC10,type,
cC10: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cC12,type,
cC12: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(cC6,type,
cC6: $i > $o ).
tff(cC18,type,
cC18: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(iV16561,type,
iV16561: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(iV16562,type,
iV16562: $i ).
tff(cC4,type,
cC4: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_136,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
tff(f_133,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
tff(f_123,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
tff(f_97,axiom,
! [X] :
( cC6(X)
<=> ( ~ cC2(X)
& ~ cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_118,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
tff(f_125,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
tff(f_141,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
tff(f_187,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_116,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
tff(f_112,axiom,
! [X] :
( cTEST(X)
<=> ( cC18(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_79,axiom,
! [X] :
( cC18(X)
<=> ( cTOP(X)
& cC16(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_72,axiom,
! [X] :
( cC16(X)
<=> ( cC14(X)
& cC8(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_57,axiom,
! [X] :
( cC12(X)
<=> ( ~ cC2(X)
& ~ cC10(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_139,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
tff(c_82,plain,
~ cC10(iV16562),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_80,plain,
~ cC2(iV16561),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_74,plain,
~ cC4(iV16561),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_243,plain,
! [X_58] :
( cC6(X_58)
| cC4(X_58)
| cC2(X_58) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
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_68,plain,
cowlThing(iV16560),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_76,plain,
cowlThing(iV16561),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_86,plain,
cowlThing(iV16562),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_96,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_98,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_96]) ).
tff(c_108,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_98]) ).
tff(c_116,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_108]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_116]) ).
tff(c_131,plain,
( ~ xsd_integer('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122]) ).
tff(c_138,plain,
~ cC18(iV16560),
inference(splitLeft,[status(thm)],[c_131]) ).
tff(c_66,plain,
cTEST(iV16560),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_146,plain,
! [X_35] :
( cC18(X_35)
| ~ cTEST(X_35) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_149,plain,
cC18(iV16560),
inference(resolution,[status(thm)],[c_66,c_146]) ).
tff(c_153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138,c_149]) ).
tff(c_155,plain,
cC18(iV16560),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_104,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_94]) ).
tff(c_106,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_104]) ).
tff(c_114,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_106]) ).
tff(c_121,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_114]) ).
tff(c_129,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121]) ).
tff(c_167,plain,
( ~ xsd_string('#skF_7')
| xsd_string('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_129]) ).
tff(c_168,plain,
~ cC16(iV16560),
inference(splitLeft,[status(thm)],[c_167]) ).
tff(c_161,plain,
! [X_41] :
( cC16(X_41)
| ~ cC18(X_41) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_165,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[c_155,c_161]) ).
tff(c_169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168,c_165]) ).
tff(c_171,plain,
cC16(iV16560),
inference(splitRight,[status(thm)],[c_167]) ).
tff(c_178,plain,
! [X_43] :
( cC14(X_43)
| ~ cC16(X_43) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_182,plain,
cC14(iV16560),
inference(resolution,[status(thm)],[c_171,c_178]) ).
tff(c_30,plain,
! [X_12] :
( cC8(X_12)
| ~ cC16(X_12) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_90,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_102,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_90]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_102]) ).
tff(c_120,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_112]) ).
tff(c_124,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_120]) ).
tff(c_135,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124]) ).
tff(c_186,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_171,c_182,c_135]) ).
tff(c_187,plain,
~ cC8(iV16560),
inference(splitLeft,[status(thm)],[c_186]) ).
tff(c_190,plain,
~ cC16(iV16560),
inference(resolution,[status(thm)],[c_30,c_187]) ).
tff(c_194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171,c_190]) ).
tff(c_196,plain,
cC8(iV16560),
inference(splitRight,[status(thm)],[c_186]) ).
tff(c_92,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_100,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_92]) ).
tff(c_110,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_100]) ).
tff(c_118,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6')
| cowlNothing('#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_110]) ).
tff(c_123,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_118]) ).
tff(c_133,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123]) ).
tff(c_222,plain,
( ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8')
| ~ cC12(iV16562)
| ~ cC6(iV16561) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_171,c_182,c_196,c_133]) ).
tff(c_223,plain,
~ cC6(iV16561),
inference(splitLeft,[status(thm)],[c_222]) ).
tff(c_246,plain,
( cC4(iV16561)
| cC2(iV16561) ),
inference(resolution,[status(thm)],[c_243,c_223]) ).
tff(c_256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_74,c_246]) ).
tff(c_258,plain,
cC6(iV16561),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_154,plain,
( ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer('#skF_7')
| xsd_string('#skF_8') ),
inference(splitRight,[status(thm)],[c_131]) ).
tff(c_284,plain,
( ~ cC12(iV16562)
| ~ xsd_integer('#skF_7')
| xsd_string('#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_196,c_182,c_171,c_154]) ).
tff(c_285,plain,
~ xsd_integer('#skF_7'),
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_286,plain,
! [X_64] :
( cC12(X_64)
| cC10(X_64)
| cC2(X_64) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_84,plain,
~ cC2(iV16562),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_304,plain,
( cC12(iV16562)
| cC10(iV16562) ),
inference(resolution,[status(thm)],[c_286,c_84]) ).
tff(c_314,plain,
cC12(iV16562),
inference(negUnitSimplification,[status(thm)],[c_82,c_304]) ).
tff(c_195,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string('#skF_7')
| xsd_integer('#skF_8') ),
inference(splitRight,[status(thm)],[c_186]) ).
tff(c_394,plain,
( ~ xsd_string('#skF_7')
| xsd_integer('#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_258,c_195]) ).
tff(c_395,plain,
~ xsd_string('#skF_7'),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_398,plain,
xsd_integer('#skF_7'),
inference(resolution,[status(thm)],[c_8,c_395]) ).
tff(c_402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285,c_398]) ).
tff(c_403,plain,
xsd_integer('#skF_8'),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_404,plain,
xsd_string('#skF_7'),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_170,plain,
( ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string('#skF_7')
| xsd_string('#skF_8') ),
inference(splitRight,[status(thm)],[c_167]) ).
tff(c_443,plain,
xsd_string('#skF_8'),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_314,c_258,c_196,c_182,c_170]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_446,plain,
~ xsd_integer('#skF_8'),
inference(resolution,[status(thm)],[c_443,c_6]) ).
tff(c_450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_403,c_446]) ).
tff(c_451,plain,
( ~ cC12(iV16562)
| xsd_string('#skF_8') ),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_453,plain,
~ cC12(iV16562),
inference(splitLeft,[status(thm)],[c_451]) ).
tff(c_544,plain,
! [X_80] :
( cC12(X_80)
| cC10(X_80)
| cC2(X_80) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_562,plain,
( cC12(iV16562)
| cC10(iV16562) ),
inference(resolution,[status(thm)],[c_544,c_84]) ).
tff(c_573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_453,c_562]) ).
tff(c_574,plain,
xsd_string('#skF_8'),
inference(splitRight,[status(thm)],[c_451]) ).
tff(c_579,plain,
~ xsd_integer('#skF_8'),
inference(resolution,[status(thm)],[c_574,c_6]) ).
tff(c_452,plain,
xsd_integer('#skF_7'),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_575,plain,
cC12(iV16562),
inference(splitRight,[status(thm)],[c_451]) ).
tff(c_257,plain,
( ~ cC12(iV16562)
| ~ xsd_integer('#skF_7')
| xsd_integer('#skF_8') ),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_585,plain,
xsd_integer('#skF_8'),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_575,c_257]) ).
tff(c_586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_579,c_585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS150+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 20:04:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.22/1.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.22/1.98
% 4.22/1.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.22/2.02
% 4.22/2.02 Inference rules
% 4.22/2.02 ----------------------
% 4.22/2.02 #Ref : 0
% 4.22/2.02 #Sup : 72
% 4.22/2.02 #Fact : 0
% 4.22/2.02 #Define : 0
% 4.22/2.02 #Split : 20
% 4.22/2.02 #Chain : 0
% 4.22/2.02 #Close : 0
% 4.22/2.02
% 4.22/2.02 Ordering : KBO
% 4.22/2.02
% 4.22/2.02 Simplification rules
% 4.22/2.02 ----------------------
% 4.22/2.02 #Subsume : 17
% 4.22/2.02 #Demod : 60
% 4.22/2.02 #Tautology : 24
% 4.22/2.02 #SimpNegUnit : 13
% 4.22/2.02 #BackRed : 0
% 4.22/2.02
% 4.22/2.02 #Partial instantiations: 0
% 4.22/2.02 #Strategies tried : 1
% 4.22/2.02
% 4.22/2.02 Timing (in seconds)
% 4.22/2.02 ----------------------
% 4.22/2.02 Preprocessing : 0.51
% 4.22/2.02 Parsing : 0.27
% 4.22/2.02 CNF conversion : 0.04
% 4.22/2.02 Main loop : 0.44
% 4.22/2.02 Inferencing : 0.16
% 4.22/2.02 Reduction : 0.12
% 4.22/2.02 Demodulation : 0.08
% 4.22/2.02 BG Simplification : 0.03
% 4.22/2.02 Subsumption : 0.09
% 4.22/2.02 Abstraction : 0.02
% 4.22/2.02 MUC search : 0.00
% 4.22/2.02 Cooper : 0.00
% 4.22/2.02 Total : 1.01
% 4.22/2.02 Index Insertion : 0.00
% 4.22/2.02 Index Deletion : 0.00
% 4.22/2.02 Index Matching : 0.00
% 4.22/2.02 BG Taut test : 0.00
%------------------------------------------------------------------------------