%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS158+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 07:07:49 PM UTC 2025
% Result : Theorem 4.47s 1.96s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 58 unt; 0 typ; 0 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 590 ( 284 ~; 282 |; 17 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ra_Px6 > ra_Px3 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC8 > cC6 > cC4xcomp > cC4 > cC2xcomp > cC2 > cC18 > cC16 > cC14 > cC12 > cC10xcomp > cC10 > #nlpp > iV16562 > iV16561 > iV16560 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_11 > #skF_1 > #skF_8 > #skF_14 > #skF_10 > #skF_13 > #skF_3 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC8,type,
cC8: $i > $o ).
tff(cTOP,type,
cTOP: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(cC14,type,
cC14: $i > $o ).
tff(cC10xcomp,type,
cC10xcomp: $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('#skF_11',type,
'#skF_11': $i ).
tff(cC4xcomp,type,
cC4xcomp: $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(ra_Px6,type,
ra_Px6: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cC12,type,
cC12: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(cC6,type,
cC6: $i > $o ).
tff(cC18,type,
cC18: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(iV16561,type,
iV16561: $i ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(cC2xcomp,type,
cC2xcomp: $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(ra_Px3,type,
ra_Px3: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_162,axiom,
cC4xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
tff(f_164,axiom,
cC2xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
tff(f_130,axiom,
! [X] :
( cC6(X)
<=> ( cC4xcomp(X)
& cC2xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_147,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
tff(f_155,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
tff(f_166,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
tff(f_216,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_149,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
tff(f_145,axiom,
! [X] :
( cTEST(X)
<=> ( cTOP(X)
& cC18(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
tff(f_89,axiom,
! [X] :
( cC18(X)
<=> ( cTOP(X)
& cC16(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_82,axiom,
! [X] :
( cC16(X)
<=> ( cC14(X)
& cC8(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_173,axiom,
cC10xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
tff(f_175,axiom,
cC2xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
tff(f_67,axiom,
! [X] :
( cC12(X)
<=> ( cC10xcomp(X)
& cC2xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(c_102,plain,
cC4xcomp(iV16561),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_104,plain,
cC2xcomp(iV16561),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_329,plain,
! [X_104] :
( cC6(X_104)
| ~ cC2xcomp(X_104)
| ~ cC4xcomp(X_104) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
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_88,plain,
cowlThing(iV16560),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_98,plain,
cowlThing(iV16561),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_106,plain,
cowlThing(iV16562),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_116,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_128,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_116]) ).
tff(c_134,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_128]) ).
tff(c_142,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_134]) ).
tff(c_146,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_142]) ).
tff(c_155,plain,
( ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146]) ).
tff(c_162,plain,
~ cC18(iV16560),
inference(splitLeft,[status(thm)],[c_155]) ).
tff(c_90,plain,
cTEST(iV16560),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_164,plain,
! [X_53] :
( cC18(X_53)
| ~ cTEST(X_53) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_167,plain,
cC18(iV16560),
inference(resolution,[status(thm)],[c_90,c_164]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162,c_167]) ).
tff(c_173,plain,
cC18(iV16560),
inference(splitRight,[status(thm)],[c_155]) ).
tff(c_118,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_126,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_118]) ).
tff(c_132,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_126]) ).
tff(c_140,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_132]) ).
tff(c_145,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_140]) ).
tff(c_153,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_145]) ).
tff(c_183,plain,
( ~ xsd_string('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_153]) ).
tff(c_184,plain,
~ cC14(iV16560),
inference(splitLeft,[status(thm)],[c_183]) ).
tff(c_199,plain,
! [X_65] :
( cC16(X_65)
| ~ cC18(X_65) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_203,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[c_173,c_199]) ).
tff(c_40,plain,
! [X_20] :
( cC14(X_20)
| ~ cC16(X_20) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_206,plain,
cC14(iV16560),
inference(resolution,[status(thm)],[c_203,c_40]) ).
tff(c_210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_206]) ).
tff(c_212,plain,
cC14(iV16560),
inference(splitRight,[status(thm)],[c_183]) ).
tff(c_38,plain,
! [X_20] :
( cC8(X_20)
| ~ cC16(X_20) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_114,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_124,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_114]) ).
tff(c_130,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_124]) ).
tff(c_138,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_130]) ).
tff(c_148,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_138]) ).
tff(c_159,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_224,plain,
( ~ xsd_string('#skF_13')
| xsd_integer('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_212,c_159]) ).
tff(c_225,plain,
~ cC8(iV16560),
inference(splitLeft,[status(thm)],[c_224]) ).
tff(c_229,plain,
~ cC16(iV16560),
inference(resolution,[status(thm)],[c_38,c_225]) ).
tff(c_230,plain,
! [X_72] :
( cC16(X_72)
| ~ cC18(X_72) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_233,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[c_173,c_230]) ).
tff(c_237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229,c_233]) ).
tff(c_239,plain,
cC8(iV16560),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_240,plain,
! [X_73] :
( cC16(X_73)
| ~ cC18(X_73) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_244,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[c_173,c_240]) ).
tff(c_120,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_122,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_120]) ).
tff(c_136,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_122]) ).
tff(c_144,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12')
| cowlNothing('#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_136]) ).
tff(c_147,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing('#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_144]) ).
tff(c_157,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_254,plain,
( ~ xsd_integer('#skF_13')
| xsd_string('#skF_14')
| ~ cC12(iV16562)
| ~ cC6(iV16561) ),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_212,c_239,c_244,c_157]) ).
tff(c_255,plain,
~ cC6(iV16561),
inference(splitLeft,[status(thm)],[c_254]) ).
tff(c_332,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561) ),
inference(resolution,[status(thm)],[c_329,c_255]) ).
tff(c_342,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_104,c_332]) ).
tff(c_344,plain,
cC6(iV16561),
inference(splitRight,[status(thm)],[c_254]) ).
tff(c_172,plain,
( ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14') ),
inference(splitRight,[status(thm)],[c_155]) ).
tff(c_362,plain,
( ~ cC12(iV16562)
| ~ xsd_integer('#skF_13')
| xsd_integer('#skF_14') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_244,c_239,c_212,c_172]) ).
tff(c_363,plain,
~ xsd_integer('#skF_13'),
inference(splitLeft,[status(thm)],[c_362]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_238,plain,
( ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string('#skF_13')
| xsd_integer('#skF_14') ),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_413,plain,
( ~ cC12(iV16562)
| ~ xsd_string('#skF_13')
| xsd_integer('#skF_14') ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_244,c_238]) ).
tff(c_414,plain,
~ xsd_string('#skF_13'),
inference(splitLeft,[status(thm)],[c_413]) ).
tff(c_417,plain,
xsd_integer('#skF_13'),
inference(resolution,[status(thm)],[c_8,c_414]) ).
tff(c_421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_363,c_417]) ).
tff(c_422,plain,
( ~ cC12(iV16562)
| xsd_integer('#skF_14') ),
inference(splitRight,[status(thm)],[c_413]) ).
tff(c_428,plain,
~ cC12(iV16562),
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_110,plain,
cC10xcomp(iV16562),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_112,plain,
cC2xcomp(iV16562),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_623,plain,
! [X_150] :
( cC12(X_150)
| ~ cC2xcomp(X_150)
| ~ cC10xcomp(X_150) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_644,plain,
( cC12(iV16562)
| ~ cC10xcomp(iV16562) ),
inference(resolution,[status(thm)],[c_112,c_623]) ).
tff(c_653,plain,
cC12(iV16562),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_644]) ).
tff(c_655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_653]) ).
tff(c_656,plain,
xsd_integer('#skF_14'),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_423,plain,
xsd_string('#skF_13'),
inference(splitRight,[status(thm)],[c_413]) ).
tff(c_657,plain,
cC12(iV16562),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_211,plain,
( ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ xsd_string('#skF_13')
| xsd_string('#skF_14') ),
inference(splitRight,[status(thm)],[c_183]) ).
tff(c_682,plain,
xsd_string('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_423,c_657,c_344,c_244,c_239,c_211]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_685,plain,
~ xsd_integer('#skF_14'),
inference(resolution,[status(thm)],[c_682,c_6]) ).
tff(c_689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_656,c_685]) ).
tff(c_690,plain,
( ~ cC12(iV16562)
| xsd_integer('#skF_14') ),
inference(splitRight,[status(thm)],[c_362]) ).
tff(c_692,plain,
~ cC12(iV16562),
inference(splitLeft,[status(thm)],[c_690]) ).
tff(c_924,plain,
! [X_193] :
( cC12(X_193)
| ~ cC2xcomp(X_193)
| ~ cC10xcomp(X_193) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_945,plain,
( cC12(iV16562)
| ~ cC10xcomp(iV16562) ),
inference(resolution,[status(thm)],[c_112,c_924]) ).
tff(c_954,plain,
cC12(iV16562),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_945]) ).
tff(c_956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_692,c_954]) ).
tff(c_957,plain,
xsd_integer('#skF_14'),
inference(splitRight,[status(thm)],[c_690]) ).
tff(c_691,plain,
xsd_integer('#skF_13'),
inference(splitRight,[status(thm)],[c_362]) ).
tff(c_958,plain,
cC12(iV16562),
inference(splitRight,[status(thm)],[c_690]) ).
tff(c_343,plain,
( ~ cC12(iV16562)
| ~ xsd_integer('#skF_13')
| xsd_string('#skF_14') ),
inference(splitRight,[status(thm)],[c_254]) ).
tff(c_978,plain,
xsd_string('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_691,c_958,c_343]) ).
tff(c_981,plain,
~ xsd_integer('#skF_14'),
inference(resolution,[status(thm)],[c_978,c_6]) ).
tff(c_985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_957,c_981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS158+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.09 % 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
% 0.07/0.29 % Computer : n010.cluster.edu
% 0.07/0.29 % Model : x86_64 x86_64
% 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.29 % Memory : 8042.1875MB
% 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.29 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Tue Apr 8 03:01:17 EDT 2025
% 0.07/0.29 % CPUTime :
% 4.47/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.47/1.97
% 4.47/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------