%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS141+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 : n012.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 07:07:26 PM UTC 2025
% Result : Theorem 3.01s 1.82s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 138 ( 66 ~; 63 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rp > xsd_string > xsd_integer > cr > cowlThing > cowlNothing > cc > #nlpp > io > ii > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cr,type,
cr: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(io,type,
io: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(ii,type,
ii: $i ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_54,axiom,
cowlThing(io),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_74,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cc(io)
& cowlThing(io) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_49,axiom,
cr(ii),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_52,axiom,
rp(ii,io),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_47,axiom,
! [X] :
( cr(X)
=> ! [Y] :
( rp(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_18,plain,
cowlThing(io),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_26,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cowlThing(io)
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_26]) ).
tff(c_37,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
tff(c_46,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37]) ).
tff(c_57,plain,
~ cc(io),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_12,plain,
cr(ii),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_16,plain,
rp(ii,io),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_58,plain,
! [Y_10,X_11] :
( cc(Y_10)
| ~ rp(X_11,Y_10)
| ~ cr(X_11) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_61,plain,
( cc(io)
| ~ cr(ii) ),
inference(resolution,[status(thm)],[c_16,c_58]) ).
tff(c_64,plain,
cc(io),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_61]) ).
tff(c_66,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57,c_64]) ).
tff(c_68,plain,
cc(io),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_67,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_69,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_67]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_24,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cowlThing(io)
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_24]) ).
tff(c_35,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_30]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cc(io) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35]) ).
tff(c_71,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_42]) ).
tff(c_72,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_71]) ).
tff(c_75,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_72]) ).
tff(c_79,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69,c_75]) ).
tff(c_81,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_71]) ).
tff(c_20,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(io)
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_20]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38]) ).
tff(c_91,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_81,c_48]) ).
tff(c_80,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_71]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_85,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_80,c_6]) ).
tff(c_93,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91,c_85]) ).
tff(c_94,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_67]) ).
tff(c_99,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_94,c_6]) ).
tff(c_95,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_67]) ).
tff(c_22,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(io)
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_22]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_32]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cc(io) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36]) ).
tff(c_103,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_95,c_44]) ).
tff(c_104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS141+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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 02:59:45 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.01/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.01/1.83
% 3.01/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------