TSTP Solution File: NUM458+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n008.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 10:51:44 EDT 2023
% Result : Theorem 3.44s 1.82s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 7 unt; 9 typ; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 3 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 4 (; 3 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > aNaturalNumber0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xm > sz10 > sz00 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(xm,type,
xm: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
tff(f_183,negated_conjecture,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xm,W0) = xm ) )
| sdtlseqdt0(xm,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_176,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__718) ).
tff(f_67,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_69,plain,
! [W0_44] :
( ( sdtpldt0(xm,W0_44) != xm )
| ~ aNaturalNumber0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_80,plain,
sdtpldt0(xm,sz00) != xm,
inference(resolution,[status(thm)],[c_4,c_69]) ).
tff(c_64,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_82,plain,
! [W0_45] :
( ( sdtpldt0(W0_45,sz00) = W0_45 )
| ~ aNaturalNumber0(W0_45) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_91,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[c_64,c_82]) ).
tff(c_97,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:36:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.44/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.44/1.82
% 3.44/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.44/1.85
% 3.44/1.85 Inference rules
% 3.44/1.85 ----------------------
% 3.44/1.85 #Ref : 0
% 3.44/1.85 #Sup : 6
% 3.44/1.85 #Fact : 0
% 3.44/1.85 #Define : 0
% 3.44/1.85 #Split : 0
% 3.44/1.85 #Chain : 0
% 3.44/1.85 #Close : 0
% 3.44/1.85
% 3.44/1.85 Ordering : KBO
% 3.44/1.85
% 3.44/1.85 Simplification rules
% 3.44/1.85 ----------------------
% 3.44/1.85 #Subsume : 0
% 3.44/1.85 #Demod : 0
% 3.44/1.85 #Tautology : 1
% 3.44/1.85 #SimpNegUnit : 1
% 3.44/1.85 #BackRed : 0
% 3.44/1.85
% 3.44/1.85 #Partial instantiations: 0
% 3.44/1.85 #Strategies tried : 1
% 3.44/1.85
% 3.44/1.85 Timing (in seconds)
% 3.44/1.85 ----------------------
% 3.74/1.85 Preprocessing : 0.59
% 3.74/1.85 Parsing : 0.31
% 3.74/1.85 CNF conversion : 0.04
% 3.74/1.85 Main loop : 0.18
% 3.74/1.85 Inferencing : 0.04
% 3.74/1.85 Reduction : 0.06
% 3.74/1.85 Demodulation : 0.04
% 3.74/1.85 BG Simplification : 0.02
% 3.74/1.85 Subsumption : 0.05
% 3.74/1.85 Abstraction : 0.01
% 3.74/1.85 MUC search : 0.00
% 3.74/1.85 Cooper : 0.00
% 3.74/1.85 Total : 0.82
% 3.74/1.85 Index Insertion : 0.00
% 3.74/1.85 Index Deletion : 0.00
% 3.74/1.85 Index Matching : 0.00
% 3.74/1.85 BG Taut test : 0.00
%------------------------------------------------------------------------------