TSTP Solution File: NUM853+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 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 10:52:55 EDT 2023
% Result : Theorem 19.44s 9.37s
% Output : CNFRefutation 19.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 56 ( 18 unt; 16 typ; 0 def)
% Number of atoms : 67 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 21 |; 0 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 12 >; 10 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 61 (; 58 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > vmul > #nlpp > vsucc > vskolem2 > vd488 > vd487 > vd486 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(vd488,type,
vd488: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff(vskolem2,type,
vskolem2: $i > $i ).
tff(vsucc,type,
vsucc: $i > $i ).
tff(v1,type,
v1: $i ).
tff(vd486,type,
vd486: $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(vmul,type,
vmul: ( $i * $i ) > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(vd487,type,
vd487: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_155,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( greater(Vd245,Vd244)
| ( Vd245 = Vd244 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),16),1)) ).
tff(f_47,axiom,
! [Vd418,Vd419] : ( vmul(Vd418,Vd419) = vmul(Vd419,Vd418) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(270,0),0)) ).
tff(f_28,negated_conjecture,
~ greater(vd486,vd488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(conseq(307),490,0)) ).
tff(f_169,axiom,
! [Vd203,Vd204] :
( ( Vd203 = Vd204 )
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(goal(130),0),0)) ).
tff(f_159,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(147,0),0)) ).
tff(f_41,axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(299,0),2)) ).
tff(f_29,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(antec(307),489,0)) ).
tff(f_163,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(140,0),0)) ).
tff(f_181,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(goal(130),0),2)) ).
tff(f_197,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : ( Vd194 = vplus(Vd193,Vd196) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),11),1)) ).
tff(f_227,axiom,
! [Vd120,Vd121] :
( ( Vd120 != Vd121 )
| ~ ? [Vd123] : ( Vd120 = vplus(Vd121,Vd123) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(goal(88),0),3)) ).
tff(f_192,axiom,
! [Vd198,Vd199] :
( less(Vd199,Vd198)
<=> ? [Vd201] : ( Vd198 = vplus(Vd199,Vd201) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),12),1)) ).
tff(c_76,plain,
! [Vd245_76] : geq(Vd245_76,Vd245_76),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_17,plain,
! [Vd419_17,Vd418_16] : ( vmul(Vd419_17,Vd418_16) = vmul(Vd418_16,Vd419_17) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_2,plain,
~ greater(vd486,vd488),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_1324,plain,
! [Vd203_253,Vd204_254] :
( less(Vd203_253,Vd204_254)
| greater(Vd203_253,Vd204_254)
| ( Vd204_254 = Vd203_253 ) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_80,plain,
! [Vd227_78,Vd226_77] :
( greater(Vd227_78,Vd226_77)
| ~ less(Vd226_77,Vd227_78) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_1344,plain,
! [Vd204_254,Vd203_253] :
( greater(Vd204_254,Vd203_253)
| greater(Vd203_253,Vd204_254)
| ( Vd204_254 = Vd203_253 ) ),
inference(resolution,[status(thm)],[c_1324,c_80]) ).
tff(c_4194,plain,
! [Vd457_386,Vd456_387,Vd458_388] :
( greater(vmul(Vd457_386,Vd456_387),vmul(Vd458_388,Vd456_387))
| ~ greater(Vd457_386,Vd458_388) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_51770,plain,
! [Vd418_1310,Vd419_1311,Vd458_1312] :
( greater(vmul(Vd418_1310,Vd419_1311),vmul(Vd458_1312,Vd418_1310))
| ~ greater(Vd419_1311,Vd458_1312) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4194]) ).
tff(c_4,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_137,plain,
greater(vmul(vd486,vd487),vmul(vd487,vd488)),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_82,plain,
! [Vd209_80,Vd208_79] :
( less(Vd209_80,Vd208_79)
| ~ greater(Vd208_79,Vd209_80) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_427,plain,
! [Vd203_180,Vd204_181] :
( ~ less(Vd203_180,Vd204_181)
| ~ greater(Vd203_180,Vd204_181) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_443,plain,
! [Vd209_80,Vd208_79] :
( ~ greater(Vd209_80,Vd208_79)
| ~ greater(Vd208_79,Vd209_80) ),
inference(resolution,[status(thm)],[c_82,c_427]) ).
tff(c_1302,plain,
~ greater(vmul(vd487,vd488),vmul(vd486,vd487)),
inference(resolution,[status(thm)],[c_137,c_443]) ).
tff(c_51883,plain,
~ greater(vd488,vd486),
inference(resolution,[status(thm)],[c_51770,c_1302]) ).
tff(c_51901,plain,
( greater(vd486,vd488)
| ( vd488 = vd486 ) ),
inference(resolution,[status(thm)],[c_1344,c_51883]) ).
tff(c_51910,plain,
vd488 = vd486,
inference(negUnitSimplification,[status(thm)],[c_2,c_51901]) ).
tff(c_1658,plain,
! [Vd193_278,Vd194_279] :
( ( vplus(Vd193_278,'#skF_2'(Vd193_278,Vd194_279)) = Vd194_279 )
| ~ greater(Vd194_279,Vd193_278) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_106,plain,
! [Vd121_114,Vd123_116] : ( vplus(Vd121_114,Vd123_116) != Vd121_114 ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_1518,plain,
! [Vd245_269,Vd244_270] :
( ( Vd245_269 = Vd244_270 )
| greater(Vd245_269,Vd244_270)
| ~ geq(Vd245_269,Vd244_270) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_94,plain,
! [Vd199_90,Vd201_93] : less(Vd199_90,vplus(Vd199_90,Vd201_93)),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_447,plain,
! [Vd199_90,Vd201_93] : ~ greater(Vd199_90,vplus(Vd199_90,Vd201_93)),
inference(resolution,[status(thm)],[c_94,c_427]) ).
tff(c_1540,plain,
! [Vd245_269,Vd201_93] :
( ( vplus(Vd245_269,Vd201_93) = Vd245_269 )
| ~ geq(Vd245_269,vplus(Vd245_269,Vd201_93)) ),
inference(resolution,[status(thm)],[c_1518,c_447]) ).
tff(c_1571,plain,
! [Vd245_269,Vd201_93] : ~ geq(Vd245_269,vplus(Vd245_269,Vd201_93)),
inference(negUnitSimplification,[status(thm)],[c_106,c_1540]) ).
tff(c_5071,plain,
! [Vd193_416,Vd194_417] :
( ~ geq(Vd193_416,Vd194_417)
| ~ greater(Vd194_417,Vd193_416) ),
inference(superposition,[status(thm),theory(equality)],[c_1658,c_1571]) ).
tff(c_5139,plain,
~ geq(vmul(vd487,vd488),vmul(vd486,vd487)),
inference(resolution,[status(thm)],[c_137,c_5071]) ).
tff(c_51916,plain,
~ geq(vmul(vd487,vd486),vmul(vd486,vd487)),
inference(demodulation,[status(thm),theory(equality)],[c_51910,c_5139]) ).
tff(c_51925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_17,c_51916]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % 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
% 0.14/0.35 % 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 15:17:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 19.44/9.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.44/9.37
% 19.44/9.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.44/9.40
% 19.44/9.40 Inference rules
% 19.44/9.40 ----------------------
% 19.44/9.40 #Ref : 15
% 19.44/9.40 #Sup : 13893
% 19.44/9.40 #Fact : 2
% 19.44/9.40 #Define : 0
% 19.44/9.40 #Split : 1
% 19.44/9.40 #Chain : 0
% 19.44/9.40 #Close : 0
% 19.44/9.40
% 19.44/9.40 Ordering : KBO
% 19.44/9.40
% 19.44/9.40 Simplification rules
% 19.44/9.40 ----------------------
% 19.44/9.40 #Subsume : 3476
% 19.44/9.40 #Demod : 3151
% 19.44/9.40 #Tautology : 1867
% 19.44/9.40 #SimpNegUnit : 381
% 19.44/9.40 #BackRed : 11
% 19.44/9.40
% 19.44/9.40 #Partial instantiations: 0
% 19.44/9.40 #Strategies tried : 1
% 19.44/9.40
% 19.44/9.40 Timing (in seconds)
% 19.44/9.40 ----------------------
% 19.44/9.40 Preprocessing : 0.62
% 19.44/9.41 Parsing : 0.32
% 19.44/9.41 CNF conversion : 0.05
% 19.44/9.41 Main loop : 7.70
% 19.44/9.41 Inferencing : 1.17
% 19.44/9.41 Reduction : 3.47
% 19.44/9.41 Demodulation : 2.38
% 19.44/9.41 BG Simplification : 0.11
% 19.44/9.41 Subsumption : 2.20
% 19.44/9.41 Abstraction : 0.12
% 19.44/9.41 MUC search : 0.00
% 19.44/9.41 Cooper : 0.00
% 19.44/9.41 Total : 8.37
% 19.44/9.41 Index Insertion : 0.00
% 19.44/9.41 Index Deletion : 0.00
% 19.44/9.41 Index Matching : 0.00
% 19.44/9.41 BG Taut test : 0.00
%------------------------------------------------------------------------------