%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS135+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 : n032.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 07:07:25 PM UTC 2025
% Result : Theorem 2.38s 1.46s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 77 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 165 ( 73 ~; 83 |; 4 &)
% ( 2 <=>; 3 =>; 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rprop > xsd_string > xsd_integer > cowlThing > cowlNothing > cA > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA,type,
cA: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rprop,type,
rprop: ( $i * $i ) > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_34,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_68,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rprop(X,Y)
=> cA(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_40,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_48,axiom,
! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_18,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_34,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_18]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34]) ).
tff(c_62,plain,
~ cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_24,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_33,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_24]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33]) ).
tff(c_63,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_67,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_63]) ).
tff(c_22,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_29,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_22]) ).
tff(c_42,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29]) ).
tff(c_81,plain,
( xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_42]) ).
tff(c_82,plain,
rprop('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_81]) ).
tff(c_10,plain,
! [Y_5,X_3] :
( cA(Y_5)
| ~ rprop(X_3,Y_5)
| ~ cowlThing(X_3) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_36,plain,
! [Y_5,X_3] :
( cA(Y_5)
| ~ rprop(X_3,Y_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10]) ).
tff(c_89,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_82,c_36]) ).
tff(c_93,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_89]) ).
tff(c_94,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_81]) ).
tff(c_26,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32]) ).
tff(c_69,plain,
( xsd_string('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_48]) ).
tff(c_70,plain,
rprop('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_69]) ).
tff(c_73,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_70,c_36]) ).
tff(c_77,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_73]) ).
tff(c_78,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_69]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_99,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_78,c_6]) ).
tff(c_101,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_99]) ).
tff(c_102,plain,
( rprop('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_108,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_112,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_108,c_6]) ).
tff(c_103,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_20,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_31,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31]) ).
tff(c_115,plain,
( xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_103,c_46]) ).
tff(c_116,plain,
rprop('#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_112,c_115]) ).
tff(c_119,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_116,c_36]) ).
tff(c_123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_119]) ).
tff(c_124,plain,
rprop('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_132,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_124,c_36]) ).
tff(c_136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_132]) ).
tff(c_137,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_139,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_137]) ).
tff(c_138,plain,
cA('#skF_6'),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_12,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_28,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_12]) ).
tff(c_40,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28]) ).
tff(c_141,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_40]) ).
tff(c_142,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_141]) ).
tff(c_145,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_142]) ).
tff(c_149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139,c_145]) ).
tff(c_150,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_141]) ).
tff(c_151,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_141]) ).
tff(c_16,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_27,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27]) ).
tff(c_159,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_151,c_38]) ).
tff(c_162,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_159,c_6]) ).
tff(c_166,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_150,c_162]) ).
tff(c_167,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_172,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_167,c_6]) ).
tff(c_168,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_14,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_30,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_14]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30]) ).
tff(c_184,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_168,c_44]) ).
tff(c_185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172,c_184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS135+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.08 % 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
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 8 03:00:16 EDT 2025
% 0.08/0.26 % CPUTime :
% 2.38/1.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/1.47
% 2.38/1.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------