TSTP Solution File: SET589+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n018.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 10:56:38 EDT 2023
% Result : Theorem 4.07s 2.06s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 22 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 30 (; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > difference > #nlpp > #skF_5 > #skF_2 > #skF_3 > #skF_4 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(difference,type,
difference: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_71,negated_conjecture,
~ ! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th48) ).
tff(f_39,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset1) ).
tff(f_44,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(D,C),difference(D,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset2) ).
tff(f_34,axiom,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subset) ).
tff(c_26,plain,
subset('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_24,plain,
subset('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_4,plain,
! [B_4,D_6,C_5] :
( subset(difference(B_4,D_6),difference(C_5,D_6))
| ~ subset(B_4,C_5) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_95,plain,
! [D_43,C_44,B_45] :
( subset(difference(D_43,C_44),difference(D_43,B_45))
| ~ subset(B_45,C_44) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2,plain,
! [B_1,D_3,C_2] :
( subset(B_1,D_3)
| ~ subset(C_2,D_3)
| ~ subset(B_1,C_2) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_212,plain,
! [B_68,D_69,B_70,C_71] :
( subset(B_68,difference(D_69,B_70))
| ~ subset(B_68,difference(D_69,C_71))
| ~ subset(B_70,C_71) ),
inference(resolution,[status(thm)],[c_95,c_2]) ).
tff(c_1307,plain,
! [B_140,D_141,C_142,B_143] :
( subset(difference(B_140,D_141),difference(C_142,B_143))
| ~ subset(B_143,D_141)
| ~ subset(B_140,C_142) ),
inference(resolution,[status(thm)],[c_4,c_212]) ).
tff(c_22,plain,
~ subset(difference('#skF_2','#skF_5'),difference('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1336,plain,
( ~ subset('#skF_4','#skF_5')
| ~ subset('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_1307,c_22]) ).
tff(c_1350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_1336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 16:42:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.07/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.07/2.06
% 4.07/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.07/2.09
% 4.07/2.09 Inference rules
% 4.07/2.09 ----------------------
% 4.07/2.09 #Ref : 0
% 4.07/2.09 #Sup : 302
% 4.07/2.09 #Fact : 0
% 4.07/2.09 #Define : 0
% 4.07/2.09 #Split : 1
% 4.07/2.09 #Chain : 0
% 4.07/2.09 #Close : 0
% 4.07/2.09
% 4.07/2.09 Ordering : KBO
% 4.07/2.09
% 4.07/2.09 Simplification rules
% 4.07/2.09 ----------------------
% 4.07/2.09 #Subsume : 49
% 4.07/2.09 #Demod : 112
% 4.07/2.09 #Tautology : 116
% 4.07/2.09 #SimpNegUnit : 0
% 4.07/2.09 #BackRed : 0
% 4.07/2.09
% 4.07/2.09 #Partial instantiations: 0
% 4.07/2.09 #Strategies tried : 1
% 4.07/2.09
% 4.07/2.09 Timing (in seconds)
% 4.07/2.09 ----------------------
% 4.07/2.09 Preprocessing : 0.44
% 4.07/2.09 Parsing : 0.25
% 4.07/2.09 CNF conversion : 0.03
% 4.07/2.09 Main loop : 0.59
% 4.07/2.09 Inferencing : 0.23
% 4.07/2.09 Reduction : 0.16
% 4.07/2.09 Demodulation : 0.12
% 4.07/2.09 BG Simplification : 0.03
% 4.07/2.09 Subsumption : 0.14
% 4.07/2.09 Abstraction : 0.02
% 4.07/2.09 MUC search : 0.00
% 4.07/2.09 Cooper : 0.00
% 4.07/2.09 Total : 1.08
% 4.07/2.09 Index Insertion : 0.00
% 4.07/2.09 Index Deletion : 0.00
% 4.07/2.09 Index Matching : 0.00
% 4.07/2.09 BG Taut test : 0.00
%------------------------------------------------------------------------------