%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS097+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 : n021.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 07:07:19 PM UTC 2025
% Result : Unsatisfiable 3.95s 1.99s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 13 |; 8 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 14 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rtt > rt3 > rt2 > rt1 > rr3 > rr2 > rr1 > rr > xsd_string > xsd_integer > cowlThing > cowlNothing > ce > cd > cc > ca > cUnsatisfiable > #nlpp > i2003_11_14_17_20_21603 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(ce,type,
ce: $i > $o ).
tff(rt3,type,
rt3: ( $i * $i ) > $o ).
tff(rt1,type,
rt1: ( $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(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(rt2,type,
rt2: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(rr3,type,
rr3: ( $i * $i ) > $o ).
tff(i2003_11_14_17_20_21603,type,
i2003_11_14_17_20_21603: $i ).
tff(rr1,type,
rr1: ( $i * $i ) > $o ).
tff(ca,type,
ca: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(rr2,type,
rr2: ( $i * $i ) > $o ).
tff(rtt,type,
rtt: ( $i * $i ) > $o ).
tff(cd,type,
cd: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_225,axiom,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_216,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y0] : rr(X,Y0)
& ? [Y] :
( rr(X,Y)
& cd(Y) )
& ~ ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& ( Y0 != Y1 ) )
& ? [Y] :
( rr(X,Y)
& cc(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_235,axiom,
! [X] :
~ ( cd(X)
& cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(c_84,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_62,plain,
! [X_69] :
( rr(X_69,'#skF_5'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_68,plain,
! [X_69] :
( rr(X_69,'#skF_4'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_151,plain,
! [Y1_131,Y0_132,X_133] :
( ( Y1_131 = Y0_132 )
| ~ rr(X_133,Y1_131)
| ~ rr(X_133,Y0_132)
| ~ cUnsatisfiable(X_133) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_161,plain,
! [Y0_134,X_135] :
( ( Y0_134 = '#skF_4'(X_135) )
| ~ rr(X_135,Y0_134)
| ~ cUnsatisfiable(X_135) ),
inference(resolution,[status(thm)],[c_68,c_151]) ).
tff(c_175,plain,
! [X_136] :
( ( '#skF_5'(X_136) = '#skF_4'(X_136) )
| ~ cUnsatisfiable(X_136) ),
inference(resolution,[status(thm)],[c_62,c_161]) ).
tff(c_179,plain,
'#skF_5'(i2003_11_14_17_20_21603) = '#skF_4'(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[c_84,c_175]) ).
tff(c_60,plain,
! [X_69] :
( cc('#skF_5'(X_69))
| ~ cUnsatisfiable(X_69) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_189,plain,
( cc('#skF_4'(i2003_11_14_17_20_21603))
| ~ cUnsatisfiable(i2003_11_14_17_20_21603) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_60]) ).
tff(c_197,plain,
cc('#skF_4'(i2003_11_14_17_20_21603)),
inference(demodulation,[status(thm),theory(equality)],[c_84,c_189]) ).
tff(c_116,plain,
! [X_110] :
( cd('#skF_4'(X_110))
| ~ cUnsatisfiable(X_110) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_88,plain,
! [X_87] :
( ~ cc(X_87)
| ~ cd(X_87) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_123,plain,
! [X_110] :
( ~ cc('#skF_4'(X_110))
| ~ cUnsatisfiable(X_110) ),
inference(resolution,[status(thm)],[c_116,c_88]) ).
tff(c_211,plain,
~ cUnsatisfiable(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[c_197,c_123]) ).
tff(c_218,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS097+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
% 0.12/0.34 % Computer : n021.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 02:59:13 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.95/1.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.95/1.99
% 3.95/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------