TSTP Solution File: PHI013+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% 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 : n028.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 10:53:31 EDT 2023
% Result : Theorem 3.64s 1.89s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 72 ( 25 unt; 16 typ; 0 def)
% Number of atoms : 140 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 155 ( 71 ~; 60 |; 12 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 41 (; 35 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ exemplifies_relation > is_the > exemplifies_property > property > object > #nlpp > none_greater > greater_than > god > existence > conceivable > #skF_2 > #skF_5 > #skF_4 > #skF_3 > #skF_1 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(object,type,
object: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(exemplifies_relation,type,
exemplifies_relation: ( $i * $i * $i ) > $o ).
tff(conceivable,type,
conceivable: $i ).
tff(property,type,
property: $i > $o ).
tff(is_the,type,
is_the: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(exemplifies_property,type,
exemplifies_property: ( $i * $i ) > $o ).
tff(greater_than,type,
greater_than: $i ).
tff(none_greater,type,
none_greater: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(existence,type,
existence: $i ).
tff(god,type,
god: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_113,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
tff(f_64,axiom,
! [X,F] :
( is_the(X,F)
=> ( property(F)
& object(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
tff(f_58,axiom,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
tff(f_82,axiom,
? [X] :
( object(X)
& exemplifies_property(none_greater,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
tff(f_98,axiom,
( ? [X] :
( object(X)
& exemplifies_property(none_greater,X) )
=> ? [X] :
( object(X)
& exemplifies_property(none_greater,X)
& ! [Y] :
( object(Y)
=> ( exemplifies_property(none_greater,Y)
=> ( Y = X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
tff(f_115,negated_conjecture,
~ exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
tff(f_112,axiom,
! [X] :
( object(X)
=> ( ( is_the(X,none_greater)
& ~ exemplifies_property(existence,X) )
=> ? [Y] :
( object(Y)
& exemplifies_relation(greater_than,Y,X)
& exemplifies_property(conceivable,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
tff(f_78,axiom,
! [X] :
( object(X)
=> ( exemplifies_property(none_greater,X)
<=> ( exemplifies_property(conceivable,X)
& ~ ? [Y] :
( object(Y)
& exemplifies_relation(greater_than,Y,X)
& exemplifies_property(conceivable,Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
tff(c_46,plain,
is_the(god,none_greater),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_54,plain,
! [X_26,F_27] :
( object(X_26)
| ~ is_the(X_26,F_27) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_58,plain,
object(god),
inference(resolution,[status(thm)],[c_46,c_54]) ).
tff(c_49,plain,
! [F_24,X_25] :
( property(F_24)
| ~ is_the(X_25,F_24) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_53,plain,
property(none_greater),
inference(resolution,[status(thm)],[c_46,c_49]) ).
tff(c_212,plain,
! [F_50,Z_51,Y_52] :
( exemplifies_property(F_50,Z_51)
| ~ is_the(Z_51,F_50)
| ~ object(Z_51)
| ~ is_the(Y_52,F_50)
| ~ object(Y_52)
| ~ property(F_50) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_214,plain,
! [Y_52] :
( exemplifies_property(none_greater,god)
| ~ object(god)
| ~ is_the(Y_52,none_greater)
| ~ object(Y_52)
| ~ property(none_greater) ),
inference(resolution,[status(thm)],[c_46,c_212]) ).
tff(c_217,plain,
! [Y_52] :
( exemplifies_property(none_greater,god)
| ~ is_the(Y_52,none_greater)
| ~ object(Y_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_58,c_214]) ).
tff(c_231,plain,
! [Y_55] :
( ~ is_the(Y_55,none_greater)
| ~ object(Y_55) ),
inference(splitLeft,[status(thm)],[c_217]) ).
tff(c_238,plain,
~ object(god),
inference(resolution,[status(thm)],[c_46,c_231]) ).
tff(c_245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_238]) ).
tff(c_246,plain,
exemplifies_property(none_greater,god),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_32,plain,
object('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_30,plain,
exemplifies_property(none_greater,'#skF_4'),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_38,plain,
! [X_19] :
( object('#skF_5')
| ~ exemplifies_property(none_greater,X_19)
| ~ object(X_19) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_61,plain,
! [X_28] :
( ~ exemplifies_property(none_greater,X_28)
| ~ object(X_28) ),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_64,plain,
~ object('#skF_4'),
inference(resolution,[status(thm)],[c_30,c_61]) ).
tff(c_68,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_64]) ).
tff(c_69,plain,
object('#skF_5'),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_36,plain,
! [X_19] :
( exemplifies_property(none_greater,'#skF_5')
| ~ exemplifies_property(none_greater,X_19)
| ~ object(X_19) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_71,plain,
! [X_29] :
( ~ exemplifies_property(none_greater,X_29)
| ~ object(X_29) ),
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_74,plain,
~ object('#skF_4'),
inference(resolution,[status(thm)],[c_30,c_71]) ).
tff(c_78,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_74]) ).
tff(c_79,plain,
exemplifies_property(none_greater,'#skF_5'),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34,plain,
! [Y_21,X_19] :
( ( Y_21 = '#skF_5' )
| ~ exemplifies_property(none_greater,Y_21)
| ~ object(Y_21)
| ~ exemplifies_property(none_greater,X_19)
| ~ object(X_19) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
! [X_35] :
( ~ exemplifies_property(none_greater,X_35)
| ~ object(X_35) ),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_101,plain,
~ object('#skF_5'),
inference(resolution,[status(thm)],[c_79,c_98]) ).
tff(c_108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69,c_101]) ).
tff(c_110,plain,
! [Y_36] :
( ( Y_36 = '#skF_5' )
| ~ exemplifies_property(none_greater,Y_36)
| ~ object(Y_36) ),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_116,plain,
( ( '#skF_5' = '#skF_4' )
| ~ object('#skF_4') ),
inference(resolution,[status(thm)],[c_30,c_110]) ).
tff(c_123,plain,
'#skF_5' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_32,c_116]) ).
tff(c_109,plain,
! [Y_21] :
( ( Y_21 = '#skF_5' )
| ~ exemplifies_property(none_greater,Y_21)
| ~ object(Y_21) ),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_125,plain,
! [Y_21] :
( ( Y_21 = '#skF_4' )
| ~ exemplifies_property(none_greater,Y_21)
| ~ object(Y_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_109]) ).
tff(c_253,plain,
( ( god = '#skF_4' )
| ~ object(god) ),
inference(resolution,[status(thm)],[c_246,c_125]) ).
tff(c_265,plain,
god = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_58,c_253]) ).
tff(c_48,plain,
~ exemplifies_property(existence,god),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_272,plain,
~ exemplifies_property(existence,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_265,c_48]) ).
tff(c_271,plain,
is_the('#skF_4',none_greater),
inference(demodulation,[status(thm),theory(equality)],[c_265,c_46]) ).
tff(c_44,plain,
! [X_22] :
( object('#skF_6'(X_22))
| exemplifies_property(existence,X_22)
| ~ is_the(X_22,none_greater)
| ~ object(X_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_40,plain,
! [X_22] :
( exemplifies_property(conceivable,'#skF_6'(X_22))
| exemplifies_property(existence,X_22)
| ~ is_the(X_22,none_greater)
| ~ object(X_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_42,plain,
! [X_22] :
( exemplifies_relation(greater_than,'#skF_6'(X_22),X_22)
| exemplifies_property(existence,X_22)
| ~ is_the(X_22,none_greater)
| ~ object(X_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_164,plain,
! [Y_42,X_43] :
( ~ exemplifies_property(conceivable,Y_42)
| ~ exemplifies_relation(greater_than,Y_42,X_43)
| ~ object(Y_42)
| ~ exemplifies_property(none_greater,X_43)
| ~ object(X_43) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_328,plain,
! [X_58] :
( ~ exemplifies_property(conceivable,'#skF_6'(X_58))
| ~ object('#skF_6'(X_58))
| ~ exemplifies_property(none_greater,X_58)
| exemplifies_property(existence,X_58)
| ~ is_the(X_58,none_greater)
| ~ object(X_58) ),
inference(resolution,[status(thm)],[c_42,c_164]) ).
tff(c_334,plain,
! [X_59] :
( ~ object('#skF_6'(X_59))
| ~ exemplifies_property(none_greater,X_59)
| exemplifies_property(existence,X_59)
| ~ is_the(X_59,none_greater)
| ~ object(X_59) ),
inference(resolution,[status(thm)],[c_40,c_328]) ).
tff(c_339,plain,
! [X_60] :
( ~ exemplifies_property(none_greater,X_60)
| exemplifies_property(existence,X_60)
| ~ is_the(X_60,none_greater)
| ~ object(X_60) ),
inference(resolution,[status(thm)],[c_44,c_334]) ).
tff(c_342,plain,
( ~ exemplifies_property(none_greater,'#skF_4')
| exemplifies_property(existence,'#skF_4')
| ~ object('#skF_4') ),
inference(resolution,[status(thm)],[c_271,c_339]) ).
tff(c_353,plain,
exemplifies_property(existence,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_30,c_342]) ).
tff(c_355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.12 % 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
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 18:51:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.64/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/1.89
% 3.65/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.65/1.93
% 3.65/1.93 Inference rules
% 3.65/1.93 ----------------------
% 3.65/1.93 #Ref : 0
% 3.65/1.93 #Sup : 54
% 3.65/1.93 #Fact : 0
% 3.65/1.93 #Define : 0
% 3.65/1.93 #Split : 7
% 3.65/1.93 #Chain : 0
% 3.65/1.93 #Close : 0
% 3.65/1.93
% 3.65/1.93 Ordering : KBO
% 3.65/1.93
% 3.65/1.93 Simplification rules
% 3.65/1.93 ----------------------
% 3.65/1.93 #Subsume : 14
% 3.65/1.93 #Demod : 54
% 3.65/1.93 #Tautology : 18
% 3.65/1.93 #SimpNegUnit : 1
% 3.65/1.93 #BackRed : 8
% 3.65/1.93
% 3.65/1.93 #Partial instantiations: 0
% 3.65/1.93 #Strategies tried : 1
% 3.65/1.93
% 3.65/1.93 Timing (in seconds)
% 3.65/1.93 ----------------------
% 3.65/1.93 Preprocessing : 0.49
% 3.65/1.93 Parsing : 0.27
% 3.65/1.93 CNF conversion : 0.04
% 3.65/1.93 Main loop : 0.39
% 3.65/1.93 Inferencing : 0.16
% 3.65/1.93 Reduction : 0.10
% 3.65/1.93 Demodulation : 0.07
% 3.65/1.93 BG Simplification : 0.02
% 3.65/1.93 Subsumption : 0.08
% 3.65/1.93 Abstraction : 0.01
% 3.65/1.93 MUC search : 0.00
% 3.65/1.93 Cooper : 0.00
% 3.65/1.93 Total : 0.94
% 3.65/1.93 Index Insertion : 0.00
% 3.65/1.93 Index Deletion : 0.00
% 3.65/1.94 Index Matching : 0.00
% 3.65/1.94 BG Taut test : 0.00
%------------------------------------------------------------------------------