TSTP Solution File: SEU149+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 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 10:57:46 EDT 2023
% Result : Theorem 2.85s 1.80s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 23 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 17 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 3 ~; 2 |; 0 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 8 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > empty > unordered_pair > #nlpp > singleton > #skF_4 > #skF_7 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_3 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_59,negated_conjecture,
~ ! [A,B,C] :
( ( singleton(A) = unordered_pair(B,C) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
tff(f_49,axiom,
! [A,B,C] :
( ( C = unordered_pair(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( ( D = A )
| ( D = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
tff(f_40,axiom,
! [A,B] :
( ( B = singleton(A) )
<=> ! [C] :
( in(C,B)
<=> ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
tff(c_40,plain,
'#skF_7' != '#skF_8',
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_42,plain,
unordered_pair('#skF_8','#skF_9') = singleton('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_48,plain,
! [D_17,B_18] : in(D_17,unordered_pair(D_17,B_18)),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_51,plain,
in('#skF_8',singleton('#skF_7')),
inference(superposition,[status(thm),theory(equality)],[c_42,c_48]) ).
tff(c_56,plain,
! [C_21,A_22] :
( ( C_21 = A_22 )
| ~ in(C_21,singleton(A_22)) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_62,plain,
'#skF_7' = '#skF_8',
inference(resolution,[status(thm)],[c_51,c_56]) ).
tff(c_70,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 12:23:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.85/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.85/1.80
% 2.85/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.85/1.83
% 2.85/1.83 Inference rules
% 2.85/1.83 ----------------------
% 2.85/1.83 #Ref : 0
% 2.85/1.83 #Sup : 7
% 2.85/1.83 #Fact : 0
% 2.85/1.83 #Define : 0
% 2.85/1.83 #Split : 0
% 2.85/1.83 #Chain : 0
% 2.85/1.83 #Close : 0
% 2.85/1.83
% 2.85/1.83 Ordering : KBO
% 2.85/1.83
% 2.85/1.83 Simplification rules
% 2.85/1.83 ----------------------
% 2.85/1.83 #Subsume : 0
% 2.85/1.83 #Demod : 0
% 2.85/1.83 #Tautology : 2
% 2.85/1.83 #SimpNegUnit : 1
% 2.85/1.83 #BackRed : 0
% 2.85/1.83
% 2.85/1.83 #Partial instantiations: 0
% 2.85/1.83 #Strategies tried : 1
% 2.85/1.83
% 2.85/1.83 Timing (in seconds)
% 2.85/1.83 ----------------------
% 2.85/1.83 Preprocessing : 0.52
% 2.85/1.83 Parsing : 0.25
% 2.85/1.83 CNF conversion : 0.04
% 2.85/1.83 Main loop : 0.17
% 2.85/1.83 Inferencing : 0.04
% 2.85/1.83 Reduction : 0.05
% 2.85/1.83 Demodulation : 0.04
% 2.85/1.83 BG Simplification : 0.02
% 2.85/1.83 Subsumption : 0.05
% 2.85/1.83 Abstraction : 0.01
% 2.85/1.83 MUC search : 0.00
% 2.85/1.83 Cooper : 0.00
% 2.85/1.83 Total : 0.73
% 2.85/1.83 Index Insertion : 0.00
% 2.85/1.83 Index Deletion : 0.00
% 2.85/1.83 Index Matching : 0.00
% 2.85/1.83 BG Taut test : 0.00
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