%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS152+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 : n014.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 07:07:38 PM UTC 2025
% Result : Theorem 3.78s 1.98s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 238 ( 113 ~; 112 |; 9 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTEST > cC8 > cC6 > cC4 > cC2 > cC12 > cC10 > #nlpp > iV21081 > iV21080 > #skF_2 > #skF_1 > #skF_5 > #skF_6 > #skF_3 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC8,type,
cC8: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cC2,type,
cC2: $i > $o ).
tff(iV21081,type,
iV21081: $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cC10,type,
cC10: $i > $o ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cC12,type,
cC12: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(cC6,type,
cC6: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cC4,type,
cC4: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(iV21080,type,
iV21080: $i ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_82,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_97,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
tff(f_127,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_80,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_78,axiom,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& ~ cC8(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_99,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
tff(f_101,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
tff(f_46,axiom,
! [X] :
( cC10(X)
<=> ( cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/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_42,plain,
cowlThing(iV21080),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_52,plain,
cowlThing(iV21081),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_62,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_70,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_62]) ).
tff(c_74,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_70]) ).
tff(c_81,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_74]) ).
tff(c_88,plain,
( ~ xsd_string('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81]) ).
tff(c_102,plain,
~ cC12(iV21080),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_40,plain,
cTEST(iV21080),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_103,plain,
! [X_18] :
( cC12(X_18)
| ~ cTEST(X_18) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_106,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[c_40,c_103]) ).
tff(c_110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_106]) ).
tff(c_112,plain,
cC12(iV21080),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_68,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_58]) ).
tff(c_80,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_68]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_80]) ).
tff(c_94,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84]) ).
tff(c_129,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081) ),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_94]) ).
tff(c_130,plain,
~ cC10(iV21081),
inference(splitLeft,[status(thm)],[c_129]) ).
tff(c_54,plain,
cC2(iV21081),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_56,plain,
cC4(iV21081),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_147,plain,
! [X_29] :
( cC10(X_29)
| ~ cC4(X_29)
| ~ cC2(X_29) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_153,plain,
( cC10(iV21081)
| ~ cC2(iV21081) ),
inference(resolution,[status(thm)],[c_56,c_147]) ).
tff(c_157,plain,
cC10(iV21081),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_153]) ).
tff(c_159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_157]) ).
tff(c_161,plain,
cC10(iV21081),
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_60]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_72]) ).
tff(c_82,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_76]) ).
tff(c_90,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82]) ).
tff(c_165,plain,
( ~ xsd_integer('#skF_5')
| xsd_integer('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_161,c_90]) ).
tff(c_166,plain,
~ xsd_integer('#skF_5'),
inference(splitLeft,[status(thm)],[c_165]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_160,plain,
( ~ xsd_string('#skF_5')
| xsd_integer('#skF_6') ),
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_163,plain,
~ xsd_string('#skF_5'),
inference(splitLeft,[status(thm)],[c_160]) ).
tff(c_170,plain,
xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_8,c_163]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166,c_170]) ).
tff(c_172,plain,
xsd_integer('#skF_6'),
inference(splitRight,[status(thm)],[c_165]) ).
tff(c_173,plain,
xsd_integer('#skF_5'),
inference(splitRight,[status(thm)],[c_165]) ).
tff(c_64,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_66,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_64]) ).
tff(c_78,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4')
| cowlNothing('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_66]) ).
tff(c_83,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_78]) ).
tff(c_92,plain,
( ~ xsd_integer('#skF_5')
| xsd_string('#skF_6')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_83]) ).
tff(c_194,plain,
xsd_string('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_161,c_173,c_92]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_197,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_194,c_6]) ).
tff(c_201,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172,c_197]) ).
tff(c_202,plain,
xsd_integer('#skF_6'),
inference(splitRight,[status(thm)],[c_160]) ).
tff(c_203,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_160]) ).
tff(c_111,plain,
( ~ cC10(iV21081)
| ~ xsd_string('#skF_5')
| xsd_string('#skF_6') ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_233,plain,
xsd_string('#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_203,c_161,c_111]) ).
tff(c_236,plain,
~ xsd_integer('#skF_6'),
inference(resolution,[status(thm)],[c_233,c_6]) ).
tff(c_240,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202,c_236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS152+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n014.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 03:00:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.78/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.78/1.99
% 3.78/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------