%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS083+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 : n024.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 07:07:17 PM UTC 2025
% Result : Unsatisfiable 4.50s 2.03s
% Output : CNFRefutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 46 ~; 37 |; 8 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 58 ( 55 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > rinvR > rinvF > rf > xsd_string > xsd_integer > cowlThing > cowlNothing > cd > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_19_32337 > #skF_4 > #skF_1 > #skF_3 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff(rinvR,type,
rinvR: ( $i * $i ) > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(i2003_11_14_17_19_32337,type,
i2003_11_14_17_19_32337: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(cd,type,
cd: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_149,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rinvR(X,Y)
=> ? [Z] :
( rinvF(Y,Z)
& cd(Z) ) )
& ~ cc(X)
& ? [Y] :
( rinvF(X,Y)
& cd(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_160,axiom,
! [X] :
( cd(X)
<=> ( ? [Y] :
( rf(X,Y)
& ~ cc(Y) )
& cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_175,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_193,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(f_180,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_124,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_170,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_189,axiom,
cUnsatisfiable(i2003_11_14_17_19_32337),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(c_89,plain,
! [X_79] :
( cd('#skF_3'(X_79))
| ~ cUnsatisfiable(X_79) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_56,plain,
! [X_55] :
( cc(X_55)
| ~ cd(X_55) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_93,plain,
! [X_79] :
( cc('#skF_3'(X_79))
| ~ cUnsatisfiable(X_79) ),
inference(resolution,[status(thm)],[c_89,c_56]) ).
tff(c_108,plain,
! [X_89] :
( rinvF(X_89,'#skF_3'(X_89))
| ~ cUnsatisfiable(X_89) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_64,plain,
! [Y_65,X_64] :
( rf(Y_65,X_64)
| ~ rinvF(X_64,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_112,plain,
! [X_89] :
( rf('#skF_3'(X_89),X_89)
| ~ cUnsatisfiable(X_89) ),
inference(resolution,[status(thm)],[c_108,c_64]) ).
tff(c_103,plain,
! [X_87,Y_88] :
( rr(X_87,Y_88)
| ~ rf(X_87,Y_88) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_70,plain,
! [X_66,Y_67] :
( rinvR(X_66,Y_67)
| ~ rr(Y_67,X_66) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_107,plain,
! [Y_88,X_87] :
( rinvR(Y_88,X_87)
| ~ rf(X_87,Y_88) ),
inference(resolution,[status(thm)],[c_103,c_70]) ).
tff(c_46,plain,
! [X_41,Y_53] :
( cd('#skF_2'(X_41,Y_53))
| ~ rinvR(X_41,Y_53)
| ~ cUnsatisfiable(X_41) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_194,plain,
! [Y_120,X_121] :
( rinvF(Y_120,'#skF_2'(X_121,Y_120))
| ~ rinvR(X_121,Y_120)
| ~ cUnsatisfiable(X_121) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_311,plain,
! [X_151,Y_152] :
( rf('#skF_2'(X_151,Y_152),Y_152)
| ~ rinvR(X_151,Y_152)
| ~ cUnsatisfiable(X_151) ),
inference(resolution,[status(thm)],[c_194,c_64]) ).
tff(c_60,plain,
! [X_55] :
( rf(X_55,'#skF_4'(X_55))
| ~ cd(X_55) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_32,plain,
! [X_39] : cowlThing(X_39),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_62,plain,
! [Y1_63,Y0_62,X_59] :
( ( Y1_63 = Y0_62 )
| ~ rf(X_59,Y1_63)
| ~ rf(X_59,Y0_62)
| ~ cowlThing(X_59) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_131,plain,
! [Y1_100,Y0_101,X_102] :
( ( Y1_100 = Y0_101 )
| ~ rf(X_102,Y1_100)
| ~ rf(X_102,Y0_101) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_62]) ).
tff(c_137,plain,
! [Y0_101,X_55] :
( ( Y0_101 = '#skF_4'(X_55) )
| ~ rf(X_55,Y0_101)
| ~ cd(X_55) ),
inference(resolution,[status(thm)],[c_60,c_131]) ).
tff(c_759,plain,
! [X_228,Y_229] :
( ( '#skF_4'('#skF_2'(X_228,Y_229)) = Y_229 )
| ~ cd('#skF_2'(X_228,Y_229))
| ~ rinvR(X_228,Y_229)
| ~ cUnsatisfiable(X_228) ),
inference(resolution,[status(thm)],[c_311,c_137]) ).
tff(c_768,plain,
! [X_232,Y_233] :
( ( '#skF_4'('#skF_2'(X_232,Y_233)) = Y_233 )
| ~ rinvR(X_232,Y_233)
| ~ cUnsatisfiable(X_232) ),
inference(resolution,[status(thm)],[c_46,c_759]) ).
tff(c_58,plain,
! [X_55] :
( ~ cc('#skF_4'(X_55))
| ~ cd(X_55) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_833,plain,
! [Y_234,X_235] :
( ~ cc(Y_234)
| ~ cd('#skF_2'(X_235,Y_234))
| ~ rinvR(X_235,Y_234)
| ~ cUnsatisfiable(X_235) ),
inference(superposition,[status(thm),theory(equality)],[c_768,c_58]) ).
tff(c_838,plain,
! [Y_236,X_237] :
( ~ cc(Y_236)
| ~ rinvR(X_237,Y_236)
| ~ cUnsatisfiable(X_237) ),
inference(resolution,[status(thm)],[c_46,c_833]) ).
tff(c_896,plain,
! [X_240,Y_241] :
( ~ cc(X_240)
| ~ cUnsatisfiable(Y_241)
| ~ rf(X_240,Y_241) ),
inference(resolution,[status(thm)],[c_107,c_838]) ).
tff(c_909,plain,
! [X_242] :
( ~ cc('#skF_3'(X_242))
| ~ cUnsatisfiable(X_242) ),
inference(resolution,[status(thm)],[c_112,c_896]) ).
tff(c_913,plain,
! [X_79] : ~ cUnsatisfiable(X_79),
inference(resolution,[status(thm)],[c_93,c_909]) ).
tff(c_74,plain,
cUnsatisfiable(i2003_11_14_17_19_32337),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_913,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS083+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % 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
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 8 02:58:21 EDT 2025
% 0.12/0.33 % CPUTime :
% 4.50/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.50/2.03
% 4.50/2.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------