%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS128+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 : n015.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 07:07:24 PM UTC 2025
% Result : Unsatisfiable 3.62s 1.91s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 17 |; 4 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 23 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > ra_Px4 > ra_Px2 > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cexcomp > ce > cdxcomp > cd > cc > ca_Cx4xcomp > ca_Cx4 > cUnsatisfiable > #nlpp > i2003_11_14_17_22_31584 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_8 > #skF_3 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
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(ce,type,
ce: $i > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(ra_Px2,type,
ra_Px2: ( $i * $i ) > $o ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cdxcomp,type,
cdxcomp: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(i2003_11_14_17_22_31584,type,
i2003_11_14_17_22_31584: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(ca_Cx4,type,
ca_Cx4: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(ca_Cx4xcomp,type,
ca_Cx4xcomp: $i > $o ).
tff(cexcomp,type,
cexcomp: $i > $o ).
tff(cd,type,
cd: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(ra_Px4,type,
ra_Px4: ( $i * $i ) > $o ).
tff(f_59,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_110,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cd(X)
& cexcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(f_96,axiom,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_103,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(f_112,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(c_16,plain,
! [X_3] :
( rr(X_3,'#skF_3'(X_3))
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_197,plain,
! [Y_80,X_81] :
( ca_Cx4(Y_80)
| ~ rr(X_81,Y_80)
| ~ cUnsatisfiable(X_81) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_201,plain,
! [X_3] :
( ca_Cx4('#skF_3'(X_3))
| ~ cUnsatisfiable(X_3) ),
inference(resolution,[status(thm)],[c_16,c_197]) ).
tff(c_192,plain,
! [Y_78,X_79] :
( cd(Y_78)
| ~ rr(X_79,Y_78)
| ~ cUnsatisfiable(X_79) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_196,plain,
! [X_3] :
( cd('#skF_3'(X_3))
| ~ cUnsatisfiable(X_3) ),
inference(resolution,[status(thm)],[c_16,c_192]) ).
tff(c_14,plain,
! [X_3] :
( cexcomp('#skF_3'(X_3))
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_127,plain,
! [X_69] :
( ca_Cx4xcomp(X_69)
| ~ cexcomp(X_69)
| ~ cd(X_69) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_214,plain,
! [X_87] :
( ca_Cx4xcomp('#skF_3'(X_87))
| ~ cd('#skF_3'(X_87))
| ~ cUnsatisfiable(X_87) ),
inference(resolution,[status(thm)],[c_14,c_127]) ).
tff(c_223,plain,
! [X_88] :
( ca_Cx4xcomp('#skF_3'(X_88))
| ~ cUnsatisfiable(X_88) ),
inference(resolution,[status(thm)],[c_196,c_214]) ).
tff(c_145,plain,
! [X_71] :
( ra_Px4(X_71,'#skF_8'(X_71))
| ~ ca_Cx4(X_71) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_48,plain,
! [X_34,Y_37] :
( ~ ra_Px4(X_34,Y_37)
| ~ ca_Cx4xcomp(X_34) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_152,plain,
! [X_71] :
( ~ ca_Cx4xcomp(X_71)
| ~ ca_Cx4(X_71) ),
inference(resolution,[status(thm)],[c_145,c_48]) ).
tff(c_228,plain,
! [X_89] :
( ~ ca_Cx4('#skF_3'(X_89))
| ~ cUnsatisfiable(X_89) ),
inference(resolution,[status(thm)],[c_223,c_152]) ).
tff(c_232,plain,
! [X_3] : ~ cUnsatisfiable(X_3),
inference(resolution,[status(thm)],[c_201,c_228]) ).
tff(c_58,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS128+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 02:59:35 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.62/1.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.62/1.91
% 3.62/1.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------