TSTP Solution File: NUM421+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM421+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/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 : n014.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 10:51:37 EDT 2023
% Result : Theorem 18.04s 7.03s
% Output : CNFRefutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 30 unt; 7 typ; 0 def)
% Number of atoms : 135 ( 55 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 122 ( 54 ~; 47 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aInteger0 > sdtpldt0 > sdtasdt0 > #nlpp > smndt0 > xa > sz10 > sz00
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(xa,type,
xa: $i ).
tff(sz10,type,
sz10: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(f_104,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__419) ).
tff(f_30,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
tff(f_87,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_108,negated_conjecture,
~ ( ( sdtasdt0(xa,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,xa) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
tff(f_67,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
tff(f_73,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
tff(f_55,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
tff(f_61,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
tff(f_93,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
tff(f_103,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
tff(c_38,plain,
aInteger0(xa),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_4,plain,
aInteger0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_289,plain,
! [W1_35,W0_36] :
( ( sdtasdt0(W1_35,W0_36) = sdtasdt0(W0_36,W1_35) )
| ~ aInteger0(W1_35)
| ~ aInteger0(W0_36) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_371,plain,
! [W0_40] :
( ( sdtasdt0(sz00,W0_40) = sdtasdt0(W0_40,sz00) )
| ~ aInteger0(W0_40) ),
inference(resolution,[status(thm)],[c_4,c_289]) ).
tff(c_397,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(resolution,[status(thm)],[c_38,c_371]) ).
tff(c_40,plain,
( ( sdtasdt0(sz00,xa) != sz00 )
| ( sdtasdt0(xa,sz00) != sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_88,plain,
sdtasdt0(xa,sz00) != sz00,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_398,plain,
sdtasdt0(sz00,xa) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_88]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_59,plain,
! [W0_25] :
( ( sdtpldt0(W0_25,sz00) = W0_25 )
| ~ aInteger0(W0_25) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_73,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[c_4,c_59]) ).
tff(c_24,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_101,plain,
! [W0_26] :
( ( sdtpldt0(sz00,W0_26) = W0_26 )
| ~ aInteger0(W0_26) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_118,plain,
sdtpldt0(sz00,xa) = xa,
inference(resolution,[status(thm)],[c_38,c_101]) ).
tff(c_453,plain,
! [W0_42,W1_43,W2_44] :
( ( sdtpldt0(sdtpldt0(W0_42,W1_43),W2_44) = sdtpldt0(W0_42,sdtpldt0(W1_43,W2_44)) )
| ~ aInteger0(W2_44)
| ~ aInteger0(W1_43)
| ~ aInteger0(W0_42) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_481,plain,
! [W2_44] :
( ( sdtpldt0(sz00,sdtpldt0(xa,W2_44)) = sdtpldt0(xa,W2_44) )
| ~ aInteger0(W2_44)
| ~ aInteger0(xa)
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_453]) ).
tff(c_1616,plain,
! [W2_66] :
( ( sdtpldt0(sz00,sdtpldt0(xa,W2_66)) = sdtpldt0(xa,W2_66) )
| ~ aInteger0(W2_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38,c_481]) ).
tff(c_1641,plain,
( ( sdtpldt0(xa,smndt0(xa)) = sdtpldt0(sz00,sz00) )
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_1616]) ).
tff(c_1657,plain,
( ( sdtpldt0(xa,smndt0(xa)) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_73,c_1641]) ).
tff(c_1660,plain,
~ aInteger0(smndt0(xa)),
inference(splitLeft,[status(thm)],[c_1657]) ).
tff(c_1663,plain,
~ aInteger0(xa),
inference(resolution,[status(thm)],[c_8,c_1660]) ).
tff(c_1667,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1663]) ).
tff(c_1669,plain,
aInteger0(smndt0(xa)),
inference(splitRight,[status(thm)],[c_1657]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aInteger0(sdtasdt0(W0_5,W1_6))
| ~ aInteger0(W1_6)
| ~ aInteger0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_402,plain,
( aInteger0(sdtasdt0(sz00,xa))
| ~ aInteger0(sz00)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_12]) ).
tff(c_406,plain,
aInteger0(sdtasdt0(sz00,xa)),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4,c_402]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aInteger0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_431,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xa)) = sdtasdt0(sz00,xa),
inference(resolution,[status(thm)],[c_406,c_18]) ).
tff(c_1668,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(splitRight,[status(thm)],[c_1657]) ).
tff(c_352,plain,
! [W1_38,W0_39] :
( ( sdtpldt0(W1_38,W0_39) = sdtpldt0(W0_39,W1_38) )
| ~ aInteger0(W1_38)
| ~ aInteger0(W0_39) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_370,plain,
! [W0_39] :
( ( sdtpldt0(xa,W0_39) = sdtpldt0(W0_39,xa) )
| ~ aInteger0(W0_39) ),
inference(resolution,[status(thm)],[c_38,c_352]) ).
tff(c_1816,plain,
sdtpldt0(smndt0(xa),xa) = sdtpldt0(xa,smndt0(xa)),
inference(resolution,[status(thm)],[c_1669,c_370]) ).
tff(c_2675,plain,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1668,c_1816]) ).
tff(c_42,plain,
! [W0_24] :
( ( sdtasdt0(W0_24,sz10) = W0_24 )
| ~ aInteger0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_58,plain,
sdtasdt0(xa,sz10) = xa,
inference(resolution,[status(thm)],[c_38,c_42]) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_74,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[c_6,c_59]) ).
tff(c_1001,plain,
! [W0_57,W1_58,W2_59] :
( ( sdtpldt0(sdtasdt0(W0_57,W1_58),sdtasdt0(W0_57,W2_59)) = sdtasdt0(W0_57,sdtpldt0(W1_58,W2_59)) )
| ~ aInteger0(W2_59)
| ~ aInteger0(W1_58)
| ~ aInteger0(W0_57) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_1084,plain,
! [W2_59] :
( ( sdtpldt0(xa,sdtasdt0(xa,W2_59)) = sdtasdt0(xa,sdtpldt0(sz10,W2_59)) )
| ~ aInteger0(W2_59)
| ~ aInteger0(sz10)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_58,c_1001]) ).
tff(c_36785,plain,
! [W2_224] :
( ( sdtpldt0(xa,sdtasdt0(xa,W2_224)) = sdtasdt0(xa,sdtpldt0(sz10,W2_224)) )
| ~ aInteger0(W2_224) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6,c_1084]) ).
tff(c_36874,plain,
( ( sdtpldt0(xa,sdtasdt0(sz00,xa)) = sdtasdt0(xa,sdtpldt0(sz10,sz00)) )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_36785]) ).
tff(c_36921,plain,
sdtpldt0(xa,sdtasdt0(sz00,xa)) = xa,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58,c_74,c_36874]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_478,plain,
! [W0_13,W2_44] :
( ( sdtpldt0(smndt0(W0_13),sdtpldt0(W0_13,W2_44)) = sdtpldt0(sz00,W2_44) )
| ~ aInteger0(W2_44)
| ~ aInteger0(W0_13)
| ~ aInteger0(smndt0(W0_13))
| ~ aInteger0(W0_13) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_453]) ).
tff(c_36948,plain,
( ( sdtpldt0(smndt0(xa),xa) = sdtpldt0(sz00,sdtasdt0(sz00,xa)) )
| ~ aInteger0(sdtasdt0(sz00,xa))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_36921,c_478]) ).
tff(c_37006,plain,
sdtasdt0(sz00,xa) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1669,c_38,c_406,c_431,c_2675,c_36948]) ).
tff(c_37008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_398,c_37006]) ).
tff(c_37009,plain,
sdtasdt0(sz00,xa) != sz00,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_37010,plain,
sdtasdt0(xa,sz00) = sz00,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_37330,plain,
! [W1_239,W0_240] :
( ( sdtasdt0(W1_239,W0_240) = sdtasdt0(W0_240,W1_239) )
| ~ aInteger0(W1_239)
| ~ aInteger0(W0_240) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_37546,plain,
! [W0_247] :
( ( sdtasdt0(xa,W0_247) = sdtasdt0(W0_247,xa) )
| ~ aInteger0(W0_247) ),
inference(resolution,[status(thm)],[c_38,c_37330]) ).
tff(c_37561,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(resolution,[status(thm)],[c_4,c_37546]) ).
tff(c_37573,plain,
sdtasdt0(sz00,xa) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_37010,c_37561]) ).
tff(c_37575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37009,c_37573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM421+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/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
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 15:17:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.04/7.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.04/7.04
% 18.04/7.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.04/7.07
% 18.04/7.07 Inference rules
% 18.04/7.07 ----------------------
% 18.04/7.07 #Ref : 0
% 18.04/7.07 #Sup : 8083
% 18.04/7.07 #Fact : 0
% 18.04/7.07 #Define : 0
% 18.04/7.07 #Split : 4
% 18.04/7.07 #Chain : 0
% 18.04/7.07 #Close : 0
% 18.04/7.07
% 18.04/7.07 Ordering : KBO
% 18.04/7.07
% 18.04/7.07 Simplification rules
% 18.04/7.07 ----------------------
% 18.04/7.07 #Subsume : 663
% 18.04/7.07 #Demod : 13331
% 18.04/7.07 #Tautology : 2353
% 18.04/7.07 #SimpNegUnit : 2
% 18.04/7.07 #BackRed : 9
% 18.04/7.07
% 18.04/7.07 #Partial instantiations: 0
% 18.04/7.07 #Strategies tried : 1
% 18.04/7.07
% 18.04/7.07 Timing (in seconds)
% 18.04/7.07 ----------------------
% 18.04/7.07 Preprocessing : 0.48
% 18.04/7.07 Parsing : 0.27
% 18.04/7.07 CNF conversion : 0.03
% 18.04/7.07 Main loop : 5.52
% 18.04/7.07 Inferencing : 1.18
% 18.04/7.07 Reduction : 2.82
% 18.04/7.07 Demodulation : 2.48
% 18.04/7.07 BG Simplification : 0.14
% 18.04/7.07 Subsumption : 1.10
% 18.04/7.07 Abstraction : 0.21
% 18.04/7.07 MUC search : 0.00
% 18.04/7.07 Cooper : 0.00
% 18.04/7.07 Total : 6.06
% 18.04/7.07 Index Insertion : 0.00
% 18.04/7.07 Index Deletion : 0.00
% 18.04/7.07 Index Matching : 0.00
% 18.04/7.07 BG Taut test : 0.00
%------------------------------------------------------------------------------