%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS076+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 07:07:16 PM UTC 2025
% Result : Unsatisfiable 3.79s 1.86s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 31 |; 7 &)
% ( 2 <=>; 5 =>; 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 : 51 ( 48 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rinvS > rinvF1 > rinvF > rf1 > rf > xsd_string > xsd_integer > cp > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_19_06193 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rinvS,type,
rinvS: ( $i * $i ) > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
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_06193,type,
i2003_11_14_17_19_06193: $i ).
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_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_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
tff(f_169,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( rinvF1(Y,Z)
=> ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_193,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
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_211,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
tff(f_183,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(c_80,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_48,plain,
! [X_51] :
( rf1(X_51,'#skF_3'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_72,plain,
! [X_88,Y_89] :
( rinvF1(X_88,Y_89)
| ~ rf1(Y_89,X_88) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_158,plain,
! [Z_143,X_144] :
( rs(Z_143,'#skF_4'(X_144,Z_143))
| ~ rinvF1('#skF_3'(X_144),Z_143)
| ~ cUnsatisfiable(X_144) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_84,plain,
! [X_97,Y_98] :
( rf(X_97,Y_98)
| ~ rs(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_199,plain,
! [Z_155,X_156] :
( rf(Z_155,'#skF_4'(X_156,Z_155))
| ~ rinvF1('#skF_3'(X_156),Z_155)
| ~ cUnsatisfiable(X_156) ),
inference(resolution,[status(thm)],[c_158,c_84]) ).
tff(c_204,plain,
! [Y_157,X_158] :
( rf(Y_157,'#skF_4'(X_158,Y_157))
| ~ cUnsatisfiable(X_158)
| ~ rf1(Y_157,'#skF_3'(X_158)) ),
inference(resolution,[status(thm)],[c_72,c_199]) ).
tff(c_208,plain,
! [X_159] :
( rf(X_159,'#skF_4'(X_159,X_159))
| ~ cUnsatisfiable(X_159) ),
inference(resolution,[status(thm)],[c_48,c_204]) ).
tff(c_52,plain,
! [X_51] :
( rf(X_51,'#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_138,plain,
! [Z_133,Y_134,X_135] :
( ( Z_133 = Y_134 )
| ~ rf(X_135,Z_133)
| ~ rf(X_135,Y_134) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_141,plain,
! [Y_134,X_51] :
( ( Y_134 = '#skF_2'(X_51) )
| ~ rf(X_51,Y_134)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_52,c_138]) ).
tff(c_219,plain,
! [X_160] :
( ( '#skF_4'(X_160,X_160) = '#skF_2'(X_160) )
| ~ cUnsatisfiable(X_160) ),
inference(resolution,[status(thm)],[c_208,c_141]) ).
tff(c_222,plain,
'#skF_2'(i2003_11_14_17_19_06193) = '#skF_4'(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[c_80,c_219]) ).
tff(c_50,plain,
! [X_51] :
( cp('#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_238,plain,
( cp('#skF_4'(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_50]) ).
tff(c_244,plain,
cp('#skF_4'(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_238]) ).
tff(c_82,plain,
! [X_95,Y_96] :
( rf1(X_95,Y_96)
| ~ rs(X_95,Y_96) ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_178,plain,
! [Z_148,X_149] :
( rf1(Z_148,'#skF_4'(X_149,Z_148))
| ~ rinvF1('#skF_3'(X_149),Z_148)
| ~ cUnsatisfiable(X_149) ),
inference(resolution,[status(thm)],[c_158,c_82]) ).
tff(c_295,plain,
! [Y_168,X_169] :
( rf1(Y_168,'#skF_4'(X_169,Y_168))
| ~ cUnsatisfiable(X_169)
| ~ rf1(Y_168,'#skF_3'(X_169)) ),
inference(resolution,[status(thm)],[c_72,c_178]) ).
tff(c_299,plain,
! [X_170] :
( rf1(X_170,'#skF_4'(X_170,X_170))
| ~ cUnsatisfiable(X_170) ),
inference(resolution,[status(thm)],[c_48,c_295]) ).
tff(c_130,plain,
! [Z_127,Y_128,X_129] :
( ( Z_127 = Y_128 )
| ~ rf1(X_129,Z_127)
| ~ rf1(X_129,Y_128) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_133,plain,
! [Y_128,X_51] :
( ( Y_128 = '#skF_3'(X_51) )
| ~ rf1(X_51,Y_128)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_48,c_130]) ).
tff(c_307,plain,
! [X_171] :
( ( '#skF_4'(X_171,X_171) = '#skF_3'(X_171) )
| ~ cUnsatisfiable(X_171) ),
inference(resolution,[status(thm)],[c_299,c_133]) ).
tff(c_310,plain,
'#skF_3'(i2003_11_14_17_19_06193) = '#skF_4'(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[c_80,c_307]) ).
tff(c_46,plain,
! [X_51] :
( ~ cp('#skF_3'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_325,plain,
( ~ cp('#skF_4'(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_46]) ).
tff(c_340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80,c_244,c_325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS076+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
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 02:58:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 3.79/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/1.87
% 3.79/1.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------