TSTP Solution File: NUM458+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM458+1 : 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 : n027.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 4.57s 2.18s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 9 unt; 9 typ; 1 def)
% Number of atoms : 27 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 7 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 7 (; 6 !; 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_178,negated_conjecture,
~ 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(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
tff(f_162,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
<=> ? [W2] :
( aNaturalNumber0(W2)
& ( sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
tff(c_66,plain,
~ sdtlseqdt0(xm,xm),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_64,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_161,plain,
! [W0_47] :
( ( sdtpldt0(W0_47,sz00) = W0_47 )
| ~ aNaturalNumber0(W0_47) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_174,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[c_64,c_161]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1382,plain,
! [W0_81,W2_82] :
( sdtlseqdt0(W0_81,sdtpldt0(W0_81,W2_82))
| ~ aNaturalNumber0(W2_82)
| ~ aNaturalNumber0(sdtpldt0(W0_81,W2_82))
| ~ aNaturalNumber0(W0_81) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_1397,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_1382]) ).
tff(c_1419,plain,
sdtlseqdt0(xm,xm),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_64,c_174,c_4,c_1397]) ).
tff(c_1421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM458+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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 : n027.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 14:53:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 4.57/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/2.18
% 4.57/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.94/2.21
% 4.94/2.21 Inference rules
% 4.94/2.21 ----------------------
% 4.94/2.21 #Ref : 0
% 4.94/2.21 #Sup : 316
% 4.94/2.21 #Fact : 0
% 4.94/2.21 #Define : 0
% 4.94/2.21 #Split : 1
% 4.94/2.21 #Chain : 0
% 4.94/2.21 #Close : 0
% 4.94/2.21
% 4.94/2.21 Ordering : KBO
% 4.94/2.21
% 4.94/2.21 Simplification rules
% 4.94/2.21 ----------------------
% 4.94/2.21 #Subsume : 13
% 4.94/2.21 #Demod : 366
% 4.94/2.21 #Tautology : 186
% 4.94/2.21 #SimpNegUnit : 18
% 4.94/2.21 #BackRed : 0
% 4.94/2.21
% 4.94/2.21 #Partial instantiations: 0
% 4.94/2.21 #Strategies tried : 1
% 4.94/2.21
% 4.94/2.21 Timing (in seconds)
% 4.94/2.21 ----------------------
% 4.94/2.21 Preprocessing : 0.58
% 4.94/2.21 Parsing : 0.30
% 4.94/2.21 CNF conversion : 0.04
% 4.94/2.21 Main loop : 0.50
% 4.94/2.21 Inferencing : 0.17
% 4.94/2.21 Reduction : 0.15
% 4.94/2.21 Demodulation : 0.11
% 4.94/2.21 BG Simplification : 0.03
% 4.94/2.21 Subsumption : 0.12
% 4.94/2.21 Abstraction : 0.03
% 4.94/2.21 MUC search : 0.00
% 4.94/2.21 Cooper : 0.00
% 4.94/2.21 Total : 1.12
% 4.94/2.21 Index Insertion : 0.00
% 4.94/2.21 Index Deletion : 0.00
% 4.94/2.21 Index Matching : 0.00
% 4.94/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------