%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS068+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 : n002.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 07:07:15 PM UTC 2025
% Result : Unsatisfiable 2.58s 1.58s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > xsd_string > xsd_integer > cowlThing > cowlNothing > cd > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_18_23845 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff(i2003_11_14_17_18_23845,type,
i2003_11_14_17_18_23845: $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cd,type,
cd: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_44,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_67,axiom,
! [X] :
( ! [Y] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_58,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_50,axiom,
! [X] :
( cUnsatisfiable(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_60,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(c_10,plain,
! [X_3] :
( cc(X_3)
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_20,plain,
! [X_8] :
( rr(X_8,'#skF_1'(X_8))
| cd(X_8) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_38,plain,
! [Y_19,X_20] :
( cc(Y_19)
| ~ rr(X_20,Y_19)
| ~ cc(X_20) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_43,plain,
! [X_21] :
( cc('#skF_1'(X_21))
| ~ cc(X_21)
| cd(X_21) ),
inference(resolution,[status(thm)],[c_20,c_38]) ).
tff(c_18,plain,
! [X_8] :
( ~ cc('#skF_1'(X_8))
| cd(X_8) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_48,plain,
! [X_22] :
( ~ cc(X_22)
| cd(X_22) ),
inference(resolution,[status(thm)],[c_43,c_18]) ).
tff(c_12,plain,
! [X_4] :
( ~ cd(X_4)
| ~ cUnsatisfiable(X_4) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_53,plain,
! [X_23] :
( ~ cUnsatisfiable(X_23)
| ~ cc(X_23) ),
inference(resolution,[status(thm)],[c_48,c_12]) ).
tff(c_57,plain,
! [X_3] : ~ cUnsatisfiable(X_3),
inference(resolution,[status(thm)],[c_10,c_53]) ).
tff(c_16,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_59,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS068+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
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 02:58:02 EDT 2025
% 0.13/0.33 % CPUTime :
% 2.58/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.58/1.59
% 2.58/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------