TSTP Solution File: NUM857+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM857+2 : 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/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 : n010.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 10:52:56 EDT 2023
% Result : Theorem 52.17s 35.28s
% Output : CNFRefutation 52.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 43 ( 14 unt; 17 typ; 0 def)
% Number of atoms : 45 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 14 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 28 (; 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > vmul > #nlpp > vsucc > vskolem2 > vd530 > vd529 > vd527 > vd526 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vd527,type,
vd527: $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(vd529,type,
vd529: $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(vd526,type,
vd526: $i ).
tff(vd530,type,
vd530: $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('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_185,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( greater(Vd245,Vd244)
| ( Vd245 = Vd244 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),16),1)) ).
tff(f_31,axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct1(antec(323)),528,0)) ).
tff(f_71,axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(299,0),2)) ).
tff(f_30,axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct2(antec(323)),531,0)) ).
tff(f_41,axiom,
! [Vd517,Vd518,Vd519,Vd520] :
( ( ( greater(Vd519,Vd520)
& geq(Vd517,Vd518) )
| ( geq(Vd519,Vd520)
& greater(Vd517,Vd518) ) )
=> greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(318,0),0)) ).
tff(f_29,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conseq(323),532,0)) ).
tff(c_90,plain,
! [Vd245_93] : geq(Vd245_93,Vd245_93),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_6,plain,
geq(vd526,vd527),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_88,plain,
! [Vd245_93,Vd244_92] :
( ( Vd245_93 = Vd244_92 )
| greater(Vd245_93,Vd244_92)
| ~ geq(Vd245_93,Vd244_92) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_3942,plain,
! [Vd457_393,Vd456_394,Vd458_395] :
( greater(vmul(Vd457_393,Vd456_394),vmul(Vd458_395,Vd456_394))
| ~ greater(Vd457_393,Vd458_395) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_92,plain,
! [Vd245_93,Vd244_92] :
( ~ greater(Vd245_93,Vd244_92)
| geq(Vd245_93,Vd244_92) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_3986,plain,
! [Vd457_393,Vd456_394,Vd458_395] :
( geq(vmul(Vd457_393,Vd456_394),vmul(Vd458_395,Vd456_394))
| ~ greater(Vd457_393,Vd458_395) ),
inference(resolution,[status(thm)],[c_3942,c_92]) ).
tff(c_4,plain,
geq(vd529,vd530),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_5395,plain,
! [Vd517_451,Vd518_452,Vd519_453,Vd520_454] :
( ~ geq(Vd517_451,Vd518_452)
| ~ greater(Vd519_453,Vd520_454)
| greater(vmul(Vd517_451,Vd519_453),vmul(Vd518_452,Vd520_454)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_176839,plain,
! [Vd517_2330,Vd519_2331,Vd518_2332,Vd520_2333] :
( geq(vmul(Vd517_2330,Vd519_2331),vmul(Vd518_2332,Vd520_2333))
| ~ geq(Vd517_2330,Vd518_2332)
| ~ greater(Vd519_2331,Vd520_2333) ),
inference(resolution,[status(thm)],[c_5395,c_92]) ).
tff(c_2,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_176897,plain,
( ~ geq(vd526,vd527)
| ~ greater(vd529,vd530) ),
inference(resolution,[status(thm)],[c_176839,c_2]) ).
tff(c_177011,plain,
~ greater(vd529,vd530),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_176897]) ).
tff(c_177023,plain,
( ( vd530 = vd529 )
| ~ geq(vd529,vd530) ),
inference(resolution,[status(thm)],[c_88,c_177011]) ).
tff(c_177029,plain,
vd530 = vd529,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_177023]) ).
tff(c_177214,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd529)),
inference(demodulation,[status(thm),theory(equality)],[c_177029,c_2]) ).
tff(c_177322,plain,
~ greater(vd526,vd527),
inference(resolution,[status(thm)],[c_3986,c_177214]) ).
tff(c_177336,plain,
( ( vd527 = vd526 )
| ~ geq(vd526,vd527) ),
inference(resolution,[status(thm)],[c_88,c_177322]) ).
tff(c_177342,plain,
vd527 = vd526,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_177336]) ).
tff(c_177344,plain,
~ geq(vmul(vd526,vd529),vmul(vd526,vd529)),
inference(demodulation,[status(thm),theory(equality)],[c_177342,c_177214]) ).
tff(c_177396,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90,c_177344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 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 : n010.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 14:44:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 52.17/35.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.17/35.29
% 52.17/35.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 52.17/35.31
% 52.17/35.31 Inference rules
% 52.17/35.31 ----------------------
% 52.17/35.31 #Ref : 29
% 52.17/35.31 #Sup : 45127
% 52.17/35.31 #Fact : 2
% 52.17/35.31 #Define : 0
% 52.17/35.31 #Split : 19
% 52.17/35.31 #Chain : 0
% 52.17/35.31 #Close : 0
% 52.17/35.31
% 52.17/35.31 Ordering : KBO
% 52.17/35.31
% 52.17/35.31 Simplification rules
% 52.17/35.31 ----------------------
% 52.17/35.31 #Subsume : 16053
% 52.17/35.31 #Demod : 11995
% 52.17/35.31 #Tautology : 4700
% 52.17/35.31 #SimpNegUnit : 1565
% 52.17/35.31 #BackRed : 341
% 52.17/35.31
% 52.17/35.31 #Partial instantiations: 0
% 52.17/35.31 #Strategies tried : 1
% 52.17/35.31
% 52.17/35.31 Timing (in seconds)
% 52.17/35.31 ----------------------
% 52.17/35.32 Preprocessing : 0.63
% 52.17/35.32 Parsing : 0.32
% 52.17/35.32 CNF conversion : 0.05
% 52.17/35.32 Main loop : 33.61
% 52.17/35.32 Inferencing : 2.96
% 52.17/35.32 Reduction : 15.22
% 52.17/35.32 Demodulation : 9.90
% 52.17/35.32 BG Simplification : 0.24
% 52.17/35.32 Subsumption : 12.23
% 52.17/35.32 Abstraction : 0.28
% 52.17/35.32 MUC search : 0.00
% 52.17/35.32 Cooper : 0.00
% 52.17/35.32 Total : 34.29
% 52.17/35.32 Index Insertion : 0.00
% 52.17/35.32 Index Deletion : 0.00
% 52.17/35.32 Index Matching : 0.00
% 52.17/35.32 BG Taut test : 0.00
%------------------------------------------------------------------------------