%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS088+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 07:07:18 PM UTC 2025
% Result : Unsatisfiable 3.74s 1.90s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 19 |; 4 &)
% ( 2 <=>; 2 =>; 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 : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > rinvR > rinvF > rf > xsd_string > xsd_integer > cp1 > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_19_49673 > #skF_2 > #skF_3 > #skF_1
%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_2',type,
'#skF_2': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rinvF,type,
rinvF: ( $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(i2003_11_14_17_19_49673,type,
i2003_11_14_17_19_49673: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cp1,type,
cp1: $i > $o ).
tff(f_166,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_140,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( rf(Z,W)
& ~ cp1(W) ) )
& cp1(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_152,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_147,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(c_62,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_40,plain,
! [X_39] :
( rf(X_39,'#skF_2'(X_39))
| ~ cUnsatisfiable(X_39) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_54,plain,
! [X_68,Y_69] :
( rinvF(X_68,Y_69)
| ~ rf(Y_69,X_68) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_116,plain,
! [Z_108,X_109] :
( rf(Z_108,'#skF_3'(X_109,Z_108))
| ~ rinvF('#skF_2'(X_109),Z_108)
| ~ cUnsatisfiable(X_109) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_121,plain,
! [Y_110,X_111] :
( rf(Y_110,'#skF_3'(X_111,Y_110))
| ~ cUnsatisfiable(X_111)
| ~ rf(Y_110,'#skF_2'(X_111)) ),
inference(resolution,[status(thm)],[c_54,c_116]) ).
tff(c_125,plain,
! [X_112] :
( rf(X_112,'#skF_3'(X_112,X_112))
| ~ cUnsatisfiable(X_112) ),
inference(resolution,[status(thm)],[c_40,c_121]) ).
tff(c_85,plain,
! [Z_89,Y_90,X_91] :
( ( Z_89 = Y_90 )
| ~ rf(X_91,Z_89)
| ~ rf(X_91,Y_90) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_88,plain,
! [Y_90,X_39] :
( ( Y_90 = '#skF_2'(X_39) )
| ~ rf(X_39,Y_90)
| ~ cUnsatisfiable(X_39) ),
inference(resolution,[status(thm)],[c_40,c_85]) ).
tff(c_133,plain,
! [X_113] :
( ( '#skF_3'(X_113,X_113) = '#skF_2'(X_113) )
| ~ cUnsatisfiable(X_113) ),
inference(resolution,[status(thm)],[c_125,c_88]) ).
tff(c_136,plain,
'#skF_2'(i2003_11_14_17_19_49673) = '#skF_3'(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[c_62,c_133]) ).
tff(c_38,plain,
! [X_39] :
( cp1('#skF_2'(X_39))
| ~ cUnsatisfiable(X_39) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_153,plain,
( cp1('#skF_3'(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))
| ~ cUnsatisfiable(i2003_11_14_17_19_49673) ),
inference(superposition,[status(thm),theory(equality)],[c_136,c_38]) ).
tff(c_167,plain,
cp1('#skF_3'(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_153]) ).
tff(c_103,plain,
! [X_100,Z_101] :
( ~ cp1('#skF_3'(X_100,Z_101))
| ~ rinvF('#skF_2'(X_100),Z_101)
| ~ cUnsatisfiable(X_100) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_110,plain,
! [X_105,Y_106] :
( ~ cp1('#skF_3'(X_105,Y_106))
| ~ cUnsatisfiable(X_105)
| ~ rf(Y_106,'#skF_2'(X_105)) ),
inference(resolution,[status(thm)],[c_54,c_103]) ).
tff(c_114,plain,
! [X_39] :
( ~ cp1('#skF_3'(X_39,X_39))
| ~ cUnsatisfiable(X_39) ),
inference(resolution,[status(thm)],[c_40,c_110]) ).
tff(c_171,plain,
~ cUnsatisfiable(i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[c_167,c_114]) ).
tff(c_175,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS088+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n003.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 02:58:18 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.74/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/1.90
% 3.74/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------