TSTP Solution File: KRS169+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS169+1 : TPTP v8.1.2. 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 : n026.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 : Tue Aug 22 10:46:02 EDT 2023
% Result : Theorem 2.91s 1.78s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 25 unt; 12 typ; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 180 ( 85 ~; 86 |; 6 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 6 >; 2 *; 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 : 12 (; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rhasLeader > rhasHead > xsd_string > xsd_integer > cowlThing > cowlNothing > #nlpp > iY > iX > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rhasHead,type,
rhasHead: ( $i * $i ) > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(iX,type,
iX: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(iY,type,
iY: $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(rhasLeader,type,
rhasLeader: ( $i * $i ) > $o ).
tff(f_42,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_48,axiom,
! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_41,axiom,
cowlThing(iX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_44,axiom,
cowlThing(iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_70,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(c_12,plain,
rhasLeader(iX,iY),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_66,plain,
! [X_11,Y_12] :
( rhasHead(X_11,Y_12)
| ~ rhasLeader(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_74,plain,
rhasHead(iX,iY),
inference(resolution,[status(thm)],[c_12,c_66]) ).
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_10,plain,
cowlThing(iX),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_14,plain,
cowlThing(iY),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_26,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_26]) ).
tff(c_42,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_28]) ).
tff(c_46,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46]) ).
tff(c_76,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_74,c_56]) ).
tff(c_77,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_76]) ).
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(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_32,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_24]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_32]) ).
tff(c_44,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead(iX,iY) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44]) ).
tff(c_82,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_74,c_52]) ).
tff(c_83,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_86,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_83]) ).
tff(c_90,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77,c_86]) ).
tff(c_92,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_20,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_20]) ).
tff(c_36,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_30]) ).
tff(c_43,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43]) ).
tff(c_98,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_74,c_50]) ).
tff(c_99,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_99]) ).
tff(c_106,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_91,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_96,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_91,c_6]) ).
tff(c_114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106,c_96]) ).
tff(c_115,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_120,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_115,c_6]) ).
tff(c_116,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_22,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_34,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_34]) ).
tff(c_45,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead(iX,iY) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_122,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_74,c_116,c_54]) ).
tff(c_123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:23:17 EDT 2023
% 0.15/0.35 % CPUTime :
% 2.91/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.79
% 2.91/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/1.82
% 2.91/1.82 Inference rules
% 2.91/1.82 ----------------------
% 2.91/1.82 #Ref : 0
% 2.91/1.82 #Sup : 8
% 2.91/1.82 #Fact : 0
% 2.91/1.82 #Define : 0
% 2.91/1.82 #Split : 4
% 2.91/1.82 #Chain : 0
% 3.07/1.82 #Close : 0
% 3.07/1.82
% 3.07/1.82 Ordering : KBO
% 3.07/1.82
% 3.07/1.82 Simplification rules
% 3.07/1.82 ----------------------
% 3.07/1.82 #Subsume : 3
% 3.07/1.82 #Demod : 23
% 3.07/1.82 #Tautology : 5
% 3.07/1.82 #SimpNegUnit : 6
% 3.07/1.82 #BackRed : 0
% 3.07/1.82
% 3.07/1.82 #Partial instantiations: 0
% 3.07/1.82 #Strategies tried : 1
% 3.07/1.82
% 3.07/1.82 Timing (in seconds)
% 3.07/1.82 ----------------------
% 3.07/1.82 Preprocessing : 0.46
% 3.07/1.82 Parsing : 0.25
% 3.07/1.82 CNF conversion : 0.03
% 3.07/1.83 Main loop : 0.27
% 3.07/1.83 Inferencing : 0.10
% 3.07/1.83 Reduction : 0.07
% 3.07/1.83 Demodulation : 0.04
% 3.07/1.83 BG Simplification : 0.02
% 3.07/1.83 Subsumption : 0.07
% 3.07/1.83 Abstraction : 0.01
% 3.07/1.83 MUC search : 0.00
% 3.07/1.83 Cooper : 0.00
% 3.07/1.83 Total : 0.79
% 3.07/1.83 Index Insertion : 0.00
% 3.07/1.83 Index Deletion : 0.00
% 3.07/1.83 Index Matching : 0.00
% 3.07/1.83 BG Taut test : 0.00
%------------------------------------------------------------------------------