%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS121+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 : n006.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 07:07:23 PM UTC 2025
% Result : Unsatisfiable 3.99s 1.85s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 37 ~; 31 |; 5 &)
% ( 6 <=>; 2 =>; 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 : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 43 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > rinvR > rinvF > rf > ra_Px1 > xsd_string > xsd_integer > cp1xcomp > cp1 > cowlThing > cowlNothing > ca_Vx3 > ca_Ax2 > cUnsatisfiable > #nlpp > i2003_11_14_17_21_5199 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(rinvR,type,
rinvR: ( $i * $i ) > $o ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ca_Ax2,type,
ca_Ax2: $i > $o ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ca_Vx3,type,
ca_Vx3: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cp1xcomp,type,
cp1xcomp: $i > $o ).
tff(i2003_11_14_17_21_5199,type,
i2003_11_14_17_21_5199: $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cp1,type,
cp1: $i > $o ).
tff(f_163,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_194,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_218,axiom,
! [X,Y,Z] :
( ( rr(X,Y)
& rr(Y,Z) )
=> rr(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_211,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(f_186,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ! [Y] :
( rinvR(X,Y)
=> cp1xcomp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_176,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_170,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_220,axiom,
cUnsatisfiable(i2003_11_14_17_21_5199),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(c_52,plain,
! [X_51] :
( ca_Vx3('#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_54,plain,
! [X_51] :
( rr(X_51,'#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_74,plain,
! [X_67] :
( ca_Ax2('#skF_5'(X_67))
| ~ ca_Vx3(X_67) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_76,plain,
! [X_67] :
( rr(X_67,'#skF_5'(X_67))
| ~ ca_Vx3(X_67) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_235,plain,
! [X_128,Z_129,Y_130] :
( rr(X_128,Z_129)
| ~ rr(Y_130,Z_129)
| ~ rr(X_128,Y_130) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_287,plain,
! [X_140,X_141] :
( rr(X_140,'#skF_5'(X_141))
| ~ rr(X_140,X_141)
| ~ ca_Vx3(X_141) ),
inference(resolution,[status(thm)],[c_76,c_235]) ).
tff(c_72,plain,
! [X_67,Y_70] :
( ca_Vx3(X_67)
| ~ ca_Ax2(Y_70)
| ~ rr(X_67,Y_70) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_447,plain,
! [X_159,X_160] :
( ca_Vx3(X_159)
| ~ ca_Ax2('#skF_5'(X_160))
| ~ rr(X_159,X_160)
| ~ ca_Vx3(X_160) ),
inference(resolution,[status(thm)],[c_287,c_72]) ).
tff(c_451,plain,
! [X_161,X_162] :
( ca_Vx3(X_161)
| ~ rr(X_161,X_162)
| ~ ca_Vx3(X_162) ),
inference(resolution,[status(thm)],[c_74,c_447]) ).
tff(c_501,plain,
! [X_165] :
( ca_Vx3(X_165)
| ~ ca_Vx3('#skF_1'(X_165))
| ~ cUnsatisfiable(X_165) ),
inference(resolution,[status(thm)],[c_54,c_451]) ).
tff(c_506,plain,
! [X_166] :
( ca_Vx3(X_166)
| ~ cUnsatisfiable(X_166) ),
inference(resolution,[status(thm)],[c_52,c_501]) ).
tff(c_50,plain,
! [X_51] :
( cp1(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_137,plain,
! [X_103,Y_104] :
( rinvR(X_103,Y_104)
| ~ rr(Y_104,X_103) ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_145,plain,
! [X_67] :
( rinvR('#skF_5'(X_67),X_67)
| ~ ca_Vx3(X_67) ),
inference(resolution,[status(thm)],[c_76,c_137]) ).
tff(c_153,plain,
! [Y_109,X_110] :
( cp1xcomp(Y_109)
| ~ rinvR(X_110,Y_109)
| ~ ca_Ax2(X_110) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_199,plain,
! [X_118] :
( cp1xcomp(X_118)
| ~ ca_Ax2('#skF_5'(X_118))
| ~ ca_Vx3(X_118) ),
inference(resolution,[status(thm)],[c_145,c_153]) ).
tff(c_204,plain,
! [X_119] :
( cp1xcomp(X_119)
| ~ ca_Vx3(X_119) ),
inference(resolution,[status(thm)],[c_74,c_199]) ).
tff(c_105,plain,
! [X_93] :
( ra_Px1(X_93,'#skF_3'(X_93))
| ~ cp1xcomp(X_93) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_56,plain,
! [X_55,Y_58] :
( ~ ra_Px1(X_55,Y_58)
| ~ cp1(X_55) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_112,plain,
! [X_93] :
( ~ cp1(X_93)
| ~ cp1xcomp(X_93) ),
inference(resolution,[status(thm)],[c_105,c_56]) ).
tff(c_213,plain,
! [X_120] :
( ~ cp1(X_120)
| ~ ca_Vx3(X_120) ),
inference(resolution,[status(thm)],[c_204,c_112]) ).
tff(c_221,plain,
! [X_51] :
( ~ ca_Vx3(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_50,c_213]) ).
tff(c_517,plain,
! [X_166] : ~ cUnsatisfiable(X_166),
inference(resolution,[status(thm)],[c_506,c_221]) ).
tff(c_90,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_517,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS121+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % 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
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 8 02:59:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 3.99/1.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/1.86
% 3.99/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------