%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS122+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 : n031.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 4.03s 1.93s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 36 ~; 26 |; 4 &)
% ( 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 : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 37 !; 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_55116 > #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_55116,type,
i2003_11_14_17_21_55116: $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cp1,type,
cp1: $i > $o ).
tff(f_218,axiom,
cUnsatisfiable(i2003_11_14_17_21_55116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(f_161,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_204,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_184,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ! [Y] :
( rinvF(X,Y)
=> ca_Vx3(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_192,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_199,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_174,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_168,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(c_88,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_50,plain,
! [X_51] :
( ca_Ax2('#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_52,plain,
! [X_51] :
( rf(X_51,'#skF_1'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_80,plain,
! [X_74,Y_75] :
( rinvF(X_74,Y_75)
| ~ rf(Y_75,X_74) ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_169,plain,
! [Y_113,X_114] :
( ca_Vx3(Y_113)
| ~ rinvF(X_114,Y_113)
| ~ ca_Ax2(X_114) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_179,plain,
! [Y_116,X_117] :
( ca_Vx3(Y_116)
| ~ ca_Ax2(X_117)
| ~ rf(Y_116,X_117) ),
inference(resolution,[status(thm)],[c_80,c_169]) ).
tff(c_198,plain,
! [X_120] :
( ca_Vx3(X_120)
| ~ ca_Ax2('#skF_1'(X_120))
| ~ cUnsatisfiable(X_120) ),
inference(resolution,[status(thm)],[c_52,c_179]) ).
tff(c_202,plain,
! [X_51] :
( ca_Vx3(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_50,c_198]) ).
tff(c_74,plain,
! [X_67] :
( rf(X_67,'#skF_5'(X_67))
| ~ ca_Vx3(X_67) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_209,plain,
! [Z_123,Y_124,X_125] :
( ( Z_123 = Y_124 )
| ~ rf(X_125,Z_123)
| ~ rf(X_125,Y_124) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_236,plain,
! [Y_130,X_131] :
( ( Y_130 = '#skF_1'(X_131) )
| ~ rf(X_131,Y_130)
| ~ cUnsatisfiable(X_131) ),
inference(resolution,[status(thm)],[c_52,c_209]) ).
tff(c_264,plain,
! [X_134] :
( ( '#skF_5'(X_134) = '#skF_1'(X_134) )
| ~ cUnsatisfiable(X_134)
| ~ ca_Vx3(X_134) ),
inference(resolution,[status(thm)],[c_74,c_236]) ).
tff(c_269,plain,
! [X_135] :
( ( '#skF_5'(X_135) = '#skF_1'(X_135) )
| ~ cUnsatisfiable(X_135) ),
inference(resolution,[status(thm)],[c_202,c_264]) ).
tff(c_273,plain,
'#skF_5'(i2003_11_14_17_21_55116) = '#skF_1'(i2003_11_14_17_21_55116),
inference(resolution,[status(thm)],[c_88,c_269]) ).
tff(c_64,plain,
! [X_63] :
( cp1(X_63)
| ~ ca_Ax2(X_63) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_72,plain,
! [X_67] :
( cp1xcomp('#skF_5'(X_67))
| ~ ca_Vx3(X_67) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_102,plain,
! [X_92] :
( ra_Px1(X_92,'#skF_3'(X_92))
| ~ cp1xcomp(X_92) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_54,plain,
! [X_55,Y_58] :
( ~ ra_Px1(X_55,Y_58)
| ~ cp1(X_55) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_111,plain,
! [X_93] :
( ~ cp1(X_93)
| ~ cp1xcomp(X_93) ),
inference(resolution,[status(thm)],[c_102,c_54]) ).
tff(c_116,plain,
! [X_94] :
( ~ cp1('#skF_5'(X_94))
| ~ ca_Vx3(X_94) ),
inference(resolution,[status(thm)],[c_72,c_111]) ).
tff(c_120,plain,
! [X_94] :
( ~ ca_Vx3(X_94)
| ~ ca_Ax2('#skF_5'(X_94)) ),
inference(resolution,[status(thm)],[c_64,c_116]) ).
tff(c_280,plain,
( ~ ca_Vx3(i2003_11_14_17_21_55116)
| ~ ca_Ax2('#skF_1'(i2003_11_14_17_21_55116)) ),
inference(superposition,[status(thm),theory(equality)],[c_273,c_120]) ).
tff(c_290,plain,
~ ca_Ax2('#skF_1'(i2003_11_14_17_21_55116)),
inference(splitLeft,[status(thm)],[c_280]) ).
tff(c_293,plain,
~ cUnsatisfiable(i2003_11_14_17_21_55116),
inference(resolution,[status(thm)],[c_50,c_290]) ).
tff(c_297,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_293]) ).
tff(c_298,plain,
~ ca_Vx3(i2003_11_14_17_21_55116),
inference(splitRight,[status(thm)],[c_280]) ).
tff(c_302,plain,
~ cUnsatisfiable(i2003_11_14_17_21_55116),
inference(resolution,[status(thm)],[c_202,c_298]) ).
tff(c_306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KRS122+1 : TPTP v9.0.0. Released v3.1.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 8 02:59:52 EDT 2025
% 0.14/0.36 % CPUTime :
% 4.03/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/1.94
% 4.03/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------