%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS163+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 : n011.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 07:08:08 PM UTC 2025
% Result : Theorem 3.35s 1.71s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 162 ( 29 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 165 ( 69 ~; 87 |; 7 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cB > cA > #nlpp > ib > ia > #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(cB,type,
cB: $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(ib,type,
ib: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(ia,type,
ia: $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_77,axiom,
cA(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_69,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_79,axiom,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_83,axiom,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f_111,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(ia)
& cowlThing(ib)
& ( ia != ib ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_75,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_81,axiom,
cB(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(f_88,axiom,
! [X] :
~ ( cB(X)
& cA(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(c_22,plain,
cA(ia),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14,plain,
! [X_13] : cowlThing(X_13),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_16,plain,
! [X_13] : ~ cowlNothing(X_13),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_24,plain,
cowlThing(ia),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_28,plain,
cowlThing(ib),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_34,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_42,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_34]) ).
tff(c_48,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_42]) ).
tff(c_58,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_48]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_58]) ).
tff(c_83,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_20,plain,
! [X_14] :
( xsd_string(X_14)
| xsd_integer(X_14) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_36,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_36]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_46]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_52]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_56]) ).
tff(c_82,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_87,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_20,c_82]) ).
tff(c_88,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83,c_87]) ).
tff(c_89,plain,
( ( ib = ia )
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_95,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_89]) ).
tff(c_90,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_38,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_38]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_40]) ).
tff(c_57,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_54]) ).
tff(c_66,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_57]) ).
tff(c_98,plain,
( xsd_string('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90,c_66]) ).
tff(c_99,plain,
ib = ia,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_26,plain,
cB(ib),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_71,plain,
! [X_18] :
( ~ cA(X_18)
| ~ cB(X_18) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_75,plain,
~ cA(ib),
inference(resolution,[status(thm)],[c_26,c_71]) ).
tff(c_101,plain,
~ cA(ia),
inference(demodulation,[status(thm),theory(equality)],[c_99,c_75]) ).
tff(c_105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_101]) ).
tff(c_106,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_18,plain,
! [X_14] :
( ~ xsd_integer(X_14)
| ~ xsd_string(X_14) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_110,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_106,c_18]) ).
tff(c_114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95,c_110]) ).
tff(c_115,plain,
ib = ia,
inference(splitRight,[status(thm)],[c_89]) ).
tff(c_117,plain,
~ cA(ia),
inference(demodulation,[status(thm),theory(equality)],[c_115,c_75]) ).
tff(c_121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_117]) ).
tff(c_122,plain,
( ( ib = ia )
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_128,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_132,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_128,c_18]) ).
tff(c_123,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_32,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_44,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing(ia)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_32]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_44]) ).
tff(c_55,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia )
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_16,c_50]) ).
tff(c_62,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_55]) ).
tff(c_135,plain,
( xsd_integer('#skF_4')
| ( ib = ia ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_62]) ).
tff(c_136,plain,
ib = ia,
inference(negUnitSimplification,[status(thm)],[c_132,c_135]) ).
tff(c_137,plain,
~ cA(ia),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_75]) ).
tff(c_141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_137]) ).
tff(c_142,plain,
ib = ia,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_144,plain,
~ cA(ia),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_75]) ).
tff(c_148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS163+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % 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 : n011.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 03:00:33 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.35/1.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.71
% 3.35/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------