%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS075+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 : n022.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 3.83s 1.89s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 20 |; 7 &)
% ( 1 <=>; 4 =>; 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 : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 32 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rinvS > rinvF1 > rinvF > rf1 > rf > xsd_string > xsd_integer > cp > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_19_02584 > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(i2003_11_14_17_19_02584,type,
i2003_11_14_17_19_02584: $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rinvS,type,
rinvS: ( $i * $i ) > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $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(rinvF1,type,
rinvF1: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_204,axiom,
cUnsatisfiable(i2003_11_14_17_19_02584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(f_166,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& ~ cp(Y) )
& ? [Y] :
( rs(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_212,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(f_173,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_208,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_180,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(c_78,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_48,plain,
! [X_51] :
( cp('#skF_3'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_58,plain,
! [X_51] :
( rf1(X_51,'#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_126,plain,
! [X_104] :
( rs(X_104,'#skF_2'(X_104))
| ~ cUnsatisfiable(X_104) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_82,plain,
! [X_78,Y_79] :
( rf(X_78,Y_79)
| ~ rs(X_78,Y_79) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_136,plain,
! [X_104] :
( rf(X_104,'#skF_2'(X_104))
| ~ cUnsatisfiable(X_104) ),
inference(resolution,[status(thm)],[c_126,c_82]) ).
tff(c_50,plain,
! [X_51] :
( rf(X_51,'#skF_3'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_166,plain,
! [Z_118,Y_119,X_120] :
( ( Z_118 = Y_119 )
| ~ rf(X_120,Z_118)
| ~ rf(X_120,Y_119) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_183,plain,
! [Y_123,X_124] :
( ( Y_123 = '#skF_3'(X_124) )
| ~ rf(X_124,Y_123)
| ~ cUnsatisfiable(X_124) ),
inference(resolution,[status(thm)],[c_50,c_166]) ).
tff(c_193,plain,
! [X_125] :
( ( '#skF_2'(X_125) = '#skF_3'(X_125) )
| ~ cUnsatisfiable(X_125) ),
inference(resolution,[status(thm)],[c_136,c_183]) ).
tff(c_197,plain,
'#skF_2'(i2003_11_14_17_19_02584) = '#skF_3'(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[c_78,c_193]) ).
tff(c_80,plain,
! [X_76,Y_77] :
( rf1(X_76,Y_77)
| ~ rs(X_76,Y_77) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_138,plain,
! [X_104] :
( rf1(X_104,'#skF_2'(X_104))
| ~ cUnsatisfiable(X_104) ),
inference(resolution,[status(thm)],[c_126,c_80]) ).
tff(c_201,plain,
( rf1(i2003_11_14_17_19_02584,'#skF_3'(i2003_11_14_17_19_02584))
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_138]) ).
tff(c_214,plain,
rf1(i2003_11_14_17_19_02584,'#skF_3'(i2003_11_14_17_19_02584)),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_201]) ).
tff(c_62,plain,
! [Z_66,Y_65,X_64] :
( ( Z_66 = Y_65 )
| ~ rf1(X_64,Z_66)
| ~ rf1(X_64,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_319,plain,
! [Y_132] :
( ( Y_132 = '#skF_3'(i2003_11_14_17_19_02584) )
| ~ rf1(i2003_11_14_17_19_02584,Y_132) ),
inference(resolution,[status(thm)],[c_214,c_62]) ).
tff(c_330,plain,
( ( '#skF_1'(i2003_11_14_17_19_02584) = '#skF_3'(i2003_11_14_17_19_02584) )
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(resolution,[status(thm)],[c_58,c_319]) ).
tff(c_338,plain,
'#skF_1'(i2003_11_14_17_19_02584) = '#skF_3'(i2003_11_14_17_19_02584),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_330]) ).
tff(c_56,plain,
! [X_51] :
( ~ cp('#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_345,plain,
( ~ cp('#skF_3'(i2003_11_14_17_19_02584))
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(superposition,[status(thm),theory(equality)],[c_338,c_56]) ).
tff(c_351,plain,
~ cp('#skF_3'(i2003_11_14_17_19_02584)),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_345]) ).
tff(c_355,plain,
~ cUnsatisfiable(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[c_48,c_351]) ).
tff(c_359,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78,c_355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS075+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % 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 : n022.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 02:58:06 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.83/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.90
% 3.83/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------