%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS098+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 : n014.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 07:07:19 PM UTC 2025
% Result : Unsatisfiable 5.32s 2.22s
% Output : CNFRefutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 136 ( 18 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 139 ( 60 ~; 50 |; 19 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 76 ( 68 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rtt > rt3 > rt2 > rt1 > rr3 > rr2 > rr1 > rr > xsd_string > xsd_integer > cowlThing > cowlNothing > ce > cd > cc > ca > cUnsatisfiable > #nlpp > i2003_11_14_17_20_25524 > #skF_9 > #skF_5 > #skF_3 > #skF_10 > #skF_8 > #skF_13 > #skF_11 > #skF_14 > #skF_2 > #skF_12 > #skF_7 > #skF_1 > #skF_6 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(ce,type,
ce: $i > $o ).
tff(rt3,type,
rt3: ( $i * $i ) > $o ).
tff(rt1,type,
rt1: ( $i * $i ) > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rt2,type,
rt2: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(rr3,type,
rr3: ( $i * $i ) > $o ).
tff(rr1,type,
rr1: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(ca,type,
ca: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(i2003_11_14_17_20_25524,type,
i2003_11_14_17_20_25524: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(rr2,type,
rr2: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(rtt,type,
rtt: ( $i * $i ) > $o ).
tff(cd,type,
cd: $i > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_257,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_248,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr3(X,Y)
& ? [Z] :
( rt3(Y,Z)
& ce(Z) )
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> ( Z0 = Z1 ) ) )
& ? [Y] :
( rr2(X,Y)
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> ( Z0 = Z1 ) )
& ? [Z] :
( rt2(Y,Z)
& cd(Z) ) )
& ~ ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& ( Y0 != Y1 ) )
& ? [Y] :
( rr1(X,Y)
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> ( Z0 = Z1 ) )
& ? [Z] :
( rt1(Y,Z)
& cc(Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_255,axiom,
! [X] :
( ca(X)
<=> ( cc(X)
| cd(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_280,axiom,
! [X,Y] :
( rr2(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(f_292,axiom,
! [X,Y] :
( rr3(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
tff(f_276,axiom,
! [X,Y] :
( rr1(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_296,axiom,
! [X,Y] :
( rt3(X,Y)
=> rtt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
tff(f_284,axiom,
! [X,Y] :
( rt1(X,Y)
=> rtt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(f_272,axiom,
! [X] :
~ ( ce(X)
& cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_267,axiom,
! [X] :
~ ( ce(X)
& cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(c_254,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_295,plain,
! [X_174] :
( cc('#skF_14'(X_174))
| ~ cUnsatisfiable(X_174) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_252,plain,
! [X_148] :
( ~ cc(X_148)
| ca(X_148) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_299,plain,
! [X_174] :
( ca('#skF_14'(X_174))
| ~ cUnsatisfiable(X_174) ),
inference(resolution,[status(thm)],[c_295,c_252]) ).
tff(c_328,plain,
! [X_191] :
( rr2(X_191,'#skF_11'(X_191))
| ~ cUnsatisfiable(X_191) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_264,plain,
! [X_154,Y_155] :
( rr(X_154,Y_155)
| ~ rr2(X_154,Y_155) ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_332,plain,
! [X_191] :
( rr(X_191,'#skF_11'(X_191))
| ~ cUnsatisfiable(X_191) ),
inference(resolution,[status(thm)],[c_328,c_264]) ).
tff(c_318,plain,
! [X_188] :
( rr3(X_188,'#skF_9'(X_188))
| ~ cUnsatisfiable(X_188) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_270,plain,
! [X_160,Y_161] :
( rr(X_160,Y_161)
| ~ rr3(X_160,Y_161) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_322,plain,
! [X_188] :
( rr(X_188,'#skF_9'(X_188))
| ~ cUnsatisfiable(X_188) ),
inference(resolution,[status(thm)],[c_318,c_270]) ).
tff(c_363,plain,
! [Y1_204,Y0_205,X_206] :
( ( Y1_204 = Y0_205 )
| ~ rr(X_206,Y1_204)
| ~ rr(X_206,Y0_205)
| ~ cUnsatisfiable(X_206) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_374,plain,
! [Y0_208,X_209] :
( ( Y0_208 = '#skF_9'(X_209) )
| ~ rr(X_209,Y0_208)
| ~ cUnsatisfiable(X_209) ),
inference(resolution,[status(thm)],[c_322,c_363]) ).
tff(c_441,plain,
! [X_214] :
( ( '#skF_9'(X_214) = '#skF_11'(X_214) )
| ~ cUnsatisfiable(X_214) ),
inference(resolution,[status(thm)],[c_332,c_374]) ).
tff(c_445,plain,
'#skF_9'(i2003_11_14_17_20_25524) = '#skF_11'(i2003_11_14_17_20_25524),
inference(resolution,[status(thm)],[c_254,c_441]) ).
tff(c_82,plain,
! [X_69] :
( rt3('#skF_9'(X_69),'#skF_10'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_469,plain,
( rt3('#skF_11'(i2003_11_14_17_20_25524),'#skF_10'(i2003_11_14_17_20_25524))
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(superposition,[status(thm),theory(equality)],[c_445,c_82]) ).
tff(c_481,plain,
rt3('#skF_11'(i2003_11_14_17_20_25524),'#skF_10'(i2003_11_14_17_20_25524)),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_469]) ).
tff(c_66,plain,
! [X_69] :
( rr1(X_69,'#skF_13'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_323,plain,
! [X_189,Y_190] :
( rr(X_189,Y_190)
| ~ rr1(X_189,Y_190) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_327,plain,
! [X_69] :
( rr(X_69,'#skF_13'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(resolution,[status(thm)],[c_66,c_323]) ).
tff(c_388,plain,
! [X_210] :
( ( '#skF_9'(X_210) = '#skF_13'(X_210) )
| ~ cUnsatisfiable(X_210) ),
inference(resolution,[status(thm)],[c_327,c_374]) ).
tff(c_392,plain,
'#skF_9'(i2003_11_14_17_20_25524) = '#skF_13'(i2003_11_14_17_20_25524),
inference(resolution,[status(thm)],[c_254,c_388]) ).
tff(c_463,plain,
'#skF_13'(i2003_11_14_17_20_25524) = '#skF_11'(i2003_11_14_17_20_25524),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_392]) ).
tff(c_62,plain,
! [X_69] :
( rt1('#skF_13'(X_69),'#skF_14'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_495,plain,
( rt1('#skF_11'(i2003_11_14_17_20_25524),'#skF_14'(i2003_11_14_17_20_25524))
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(superposition,[status(thm),theory(equality)],[c_463,c_62]) ).
tff(c_507,plain,
rt1('#skF_11'(i2003_11_14_17_20_25524),'#skF_14'(i2003_11_14_17_20_25524)),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_495]) ).
tff(c_272,plain,
! [X_162,Y_163] :
( rtt(X_162,Y_163)
| ~ rt3(X_162,Y_163) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_266,plain,
! [X_156,Y_157] :
( rtt(X_156,Y_157)
| ~ rt1(X_156,Y_157) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_64,plain,
! [Z1_147,Z0_146,X_69] :
( ( Z1_147 = Z0_146 )
| ~ rtt('#skF_13'(X_69),Z1_147)
| ~ rtt('#skF_13'(X_69),Z0_146)
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_492,plain,
! [Z1_147,Z0_146] :
( ( Z1_147 = Z0_146 )
| ~ rtt('#skF_11'(i2003_11_14_17_20_25524),Z1_147)
| ~ rtt('#skF_13'(i2003_11_14_17_20_25524),Z0_146)
| ~ cUnsatisfiable(i2003_11_14_17_20_25524) ),
inference(superposition,[status(thm),theory(equality)],[c_463,c_64]) ).
tff(c_648,plain,
! [Z1_248,Z0_249] :
( ( Z1_248 = Z0_249 )
| ~ rtt('#skF_11'(i2003_11_14_17_20_25524),Z1_248)
| ~ rtt('#skF_11'(i2003_11_14_17_20_25524),Z0_249) ),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_463,c_492]) ).
tff(c_682,plain,
! [Z0_259,Y_260] :
( ( Z0_259 = Y_260 )
| ~ rtt('#skF_11'(i2003_11_14_17_20_25524),Z0_259)
| ~ rt1('#skF_11'(i2003_11_14_17_20_25524),Y_260) ),
inference(resolution,[status(thm)],[c_266,c_648]) ).
tff(c_741,plain,
! [Y_277,Y_276] :
( ( Y_277 = Y_276 )
| ~ rt1('#skF_11'(i2003_11_14_17_20_25524),Y_276)
| ~ rt3('#skF_11'(i2003_11_14_17_20_25524),Y_277) ),
inference(resolution,[status(thm)],[c_272,c_682]) ).
tff(c_752,plain,
! [Y_285] :
( ( Y_285 = '#skF_14'(i2003_11_14_17_20_25524) )
| ~ rt3('#skF_11'(i2003_11_14_17_20_25524),Y_285) ),
inference(resolution,[status(thm)],[c_507,c_741]) ).
tff(c_756,plain,
'#skF_10'(i2003_11_14_17_20_25524) = '#skF_14'(i2003_11_14_17_20_25524),
inference(resolution,[status(thm)],[c_481,c_752]) ).
tff(c_335,plain,
! [X_196] :
( cd(X_196)
| cc(X_196)
| ~ ca(X_196) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_300,plain,
! [X_175] :
( ce('#skF_10'(X_175))
| ~ cUnsatisfiable(X_175) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_260,plain,
! [X_151] :
( ~ cd(X_151)
| ~ ce(X_151) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_308,plain,
! [X_175] :
( ~ cd('#skF_10'(X_175))
| ~ cUnsatisfiable(X_175) ),
inference(resolution,[status(thm)],[c_300,c_260]) ).
tff(c_354,plain,
! [X_203] :
( ~ cUnsatisfiable(X_203)
| cc('#skF_10'(X_203))
| ~ ca('#skF_10'(X_203)) ),
inference(resolution,[status(thm)],[c_335,c_308]) ).
tff(c_258,plain,
! [X_150] :
( ~ cc(X_150)
| ~ ce(X_150) ),
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_307,plain,
! [X_175] :
( ~ cc('#skF_10'(X_175))
| ~ cUnsatisfiable(X_175) ),
inference(resolution,[status(thm)],[c_300,c_258]) ).
tff(c_361,plain,
! [X_203] :
( ~ cUnsatisfiable(X_203)
| ~ ca('#skF_10'(X_203)) ),
inference(resolution,[status(thm)],[c_354,c_307]) ).
tff(c_762,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| ~ ca('#skF_14'(i2003_11_14_17_20_25524)) ),
inference(superposition,[status(thm),theory(equality)],[c_756,c_361]) ).
tff(c_778,plain,
~ ca('#skF_14'(i2003_11_14_17_20_25524)),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_762]) ).
tff(c_790,plain,
~ cUnsatisfiable(i2003_11_14_17_20_25524),
inference(resolution,[status(thm)],[c_299,c_778]) ).
tff(c_794,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_254,c_790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS098+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % 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
% 0.14/0.34 % Computer : n014.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 : Tue Apr 8 02:58:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 5.32/2.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.32/2.22
% 5.32/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------