%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS073+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 : n009.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 07:07:16 PM UTC 2025
% Result : Unsatisfiable 3.82s 1.89s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 28 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 41 ( 39 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rinvS > rinvF1 > rinvF > rf1 > rf > xsd_string > xsd_integer > cp > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_18_54369 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rinvS,type,
rinvS: ( $i * $i ) > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff(i2003_11_14_17_18_54369,type,
i2003_11_14_17_18_54369: $i ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(rf1,type,
rf1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cp,type,
cp: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(rinvF1,type,
rinvF1: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_207,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(f_169,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& ! [Z] :
( rinvS(Y,Z)
=> cp(Z) )
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( rs(Z,W)
& cp(W) ) ) )
& ~ cp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_188,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_215,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(f_176,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_198,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(c_82,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_50,plain,
! [X_51] :
( rf(X_51,'#skF_3'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_70,plain,
! [X_90,Y_91] :
( rinvF(X_90,Y_91)
| ~ rf(Y_91,X_90) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_154,plain,
! [Z_150,X_151] :
( rs(Z_150,'#skF_4'(X_151,Z_150))
| ~ rinvF('#skF_3'(X_151),Z_150)
| ~ cUnsatisfiable(X_151) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_86,plain,
! [X_101,Y_102] :
( rf(X_101,Y_102)
| ~ rs(X_101,Y_102) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_215,plain,
! [Z_162,X_163] :
( rf(Z_162,'#skF_4'(X_163,Z_162))
| ~ rinvF('#skF_3'(X_163),Z_162)
| ~ cUnsatisfiable(X_163) ),
inference(resolution,[status(thm)],[c_154,c_86]) ).
tff(c_245,plain,
! [Y_168,X_169] :
( rf(Y_168,'#skF_4'(X_169,Y_168))
| ~ cUnsatisfiable(X_169)
| ~ rf(Y_168,'#skF_3'(X_169)) ),
inference(resolution,[status(thm)],[c_70,c_215]) ).
tff(c_249,plain,
! [X_170] :
( rf(X_170,'#skF_4'(X_170,X_170))
| ~ cUnsatisfiable(X_170) ),
inference(resolution,[status(thm)],[c_50,c_245]) ).
tff(c_133,plain,
! [Z_137,Y_138,X_139] :
( ( Z_137 = Y_138 )
| ~ rf(X_139,Z_137)
| ~ rf(X_139,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_136,plain,
! [Y_138,X_51] :
( ( Y_138 = '#skF_3'(X_51) )
| ~ rf(X_51,Y_138)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_50,c_133]) ).
tff(c_257,plain,
! [X_171] :
( ( '#skF_4'(X_171,X_171) = '#skF_3'(X_171) )
| ~ cUnsatisfiable(X_171) ),
inference(resolution,[status(thm)],[c_249,c_136]) ).
tff(c_260,plain,
'#skF_3'(i2003_11_14_17_18_54369) = '#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[c_82,c_257]) ).
tff(c_290,plain,
( rf(i2003_11_14_17_18_54369,'#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))
| ~ cUnsatisfiable(i2003_11_14_17_18_54369) ),
inference(superposition,[status(thm),theory(equality)],[c_260,c_50]) ).
tff(c_306,plain,
rf(i2003_11_14_17_18_54369,'#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_290]) ).
tff(c_78,plain,
! [X_94,Y_95] :
( rinvS(X_94,Y_95)
| ~ rs(Y_95,X_94) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_172,plain,
! [X_151,Z_150] :
( rinvS('#skF_4'(X_151,Z_150),Z_150)
| ~ rinvF('#skF_3'(X_151),Z_150)
| ~ cUnsatisfiable(X_151) ),
inference(resolution,[status(thm)],[c_154,c_78]) ).
tff(c_48,plain,
! [Z_81,X_51] :
( cp(Z_81)
| ~ rinvS('#skF_3'(X_51),Z_81)
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_287,plain,
! [Z_81] :
( cp(Z_81)
| ~ rinvS('#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),Z_81)
| ~ cUnsatisfiable(i2003_11_14_17_18_54369) ),
inference(superposition,[status(thm),theory(equality)],[c_260,c_48]) ).
tff(c_317,plain,
! [Z_175] :
( cp(Z_175)
| ~ rinvS('#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),Z_175) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_287]) ).
tff(c_325,plain,
( cp(i2003_11_14_17_18_54369)
| ~ rinvF('#skF_3'(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)
| ~ cUnsatisfiable(i2003_11_14_17_18_54369) ),
inference(resolution,[status(thm)],[c_172,c_317]) ).
tff(c_329,plain,
( cp(i2003_11_14_17_18_54369)
| ~ rinvF('#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),i2003_11_14_17_18_54369) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_260,c_325]) ).
tff(c_351,plain,
~ rinvF('#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(splitLeft,[status(thm)],[c_329]) ).
tff(c_363,plain,
~ rf(i2003_11_14_17_18_54369,'#skF_4'(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[c_70,c_351]) ).
tff(c_367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_363]) ).
tff(c_368,plain,
cp(i2003_11_14_17_18_54369),
inference(splitRight,[status(thm)],[c_329]) ).
tff(c_46,plain,
! [X_51] :
( ~ cp(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_372,plain,
~ cUnsatisfiable(i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[c_368,c_46]) ).
tff(c_376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_82,c_372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS073+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % 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 : n009.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 02:57:41 EDT 2025
% 0.14/0.34 % CPUTime :
% 3.82/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/1.89
% 3.82/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------