TSTP Solution File: NUM841+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM841+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/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 : n011.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 10:52:52 EDT 2023
% Result : Theorem 120.57s 101.04s
% Output : CNFRefutation 120.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 71 ( 22 unt; 16 typ; 0 def)
% Number of atoms : 99 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 34 ~; 34 |; 1 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 11 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 81 (; 78 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > #nlpp > vsucc > vskolem2 > vd348 > vd347 > vd345 > vd344 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vd345,type,
vd345: $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff(vd344,type,
vd344: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $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(vd348,type,
vd348: $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(vd347,type,
vd347: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_32,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(212,350,0)) ).
tff(f_144,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : ( Vd194 = vplus(Vd193,Vd196) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),11),1)) ).
tff(f_174,axiom,
! [Vd120,Vd121] :
( ( Vd120 != Vd121 )
| ~ ? [Vd123] : ( Vd120 = vplus(Vd121,Vd123) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(88),0),3)) ).
tff(f_102,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_139,axiom,
! [Vd198,Vd199] :
( less(Vd199,Vd198)
<=> ? [Vd201] : ( Vd198 = vplus(Vd199,Vd201) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),12),1)) ).
tff(f_128,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),2)) ).
tff(f_186,axiom,
! [Vd78,Vd79] : ( vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(61,0),0)) ).
tff(f_30,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(213,351,1)) ).
tff(f_116,axiom,
! [Vd203,Vd204] :
( ( Vd203 = Vd204 )
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),0)) ).
tff(f_106,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(147,0),0)) ).
tff(f_28,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(214,352,0)) ).
tff(f_110,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(140,0),0)) ).
tff(f_96,axiom,
! [Vd249,Vd250] :
( leq(Vd250,Vd249)
<=> ( less(Vd250,Vd249)
| ( Vd250 = Vd249 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),17),1)) ).
tff(f_90,axiom,
! [Vd254,Vd255] :
( geq(Vd254,Vd255)
=> leq(Vd255,Vd254) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(158,0),0)) ).
tff(f_66,axiom,
! [Vd289,Vd290,Vd292] :
( ( leq(Vd290,Vd292)
& leq(Vd289,Vd290) )
=> leq(Vd289,Vd292) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(184,0),0)) ).
tff(f_86,axiom,
! [Vd258,Vd259] :
( leq(Vd258,Vd259)
=> geq(Vd259,Vd258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(163,0),0)) ).
tff(c_10,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_1250,plain,
! [Vd193_213,Vd194_214] :
( ( vplus(Vd193_213,'#skF_2'(Vd193_213,Vd194_214)) = Vd194_214 )
| ~ greater(Vd194_214,Vd193_213) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_81,plain,
! [Vd121_75,Vd123_77] : ( vplus(Vd121_75,Vd123_77) != Vd121_75 ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_1092,plain,
! [Vd245_200,Vd244_201] :
( ( Vd245_200 = Vd244_201 )
| greater(Vd245_200,Vd244_201)
| ~ geq(Vd245_200,Vd244_201) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_69,plain,
! [Vd199_51,Vd201_54] : less(Vd199_51,vplus(Vd199_51,Vd201_54)),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_219,plain,
! [Vd203_125,Vd204_126] :
( ~ less(Vd203_125,Vd204_126)
| ~ greater(Vd203_125,Vd204_126) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_235,plain,
! [Vd199_51,Vd201_54] : ~ greater(Vd199_51,vplus(Vd199_51,Vd201_54)),
inference(resolution,[status(thm)],[c_69,c_219]) ).
tff(c_1119,plain,
! [Vd245_200,Vd201_54] :
( ( vplus(Vd245_200,Vd201_54) = Vd245_200 )
| ~ geq(Vd245_200,vplus(Vd245_200,Vd201_54)) ),
inference(resolution,[status(thm)],[c_1092,c_235]) ).
tff(c_1147,plain,
! [Vd245_200,Vd201_54] : ~ geq(Vd245_200,vplus(Vd245_200,Vd201_54)),
inference(negUnitSimplification,[status(thm)],[c_81,c_1119]) ).
tff(c_3275,plain,
! [Vd193_293,Vd194_294] :
( ~ geq(Vd193_293,Vd194_294)
| ~ greater(Vd194_294,Vd193_293) ),
inference(superposition,[status(thm),theory(equality)],[c_1250,c_1147]) ).
tff(c_3328,plain,
~ geq(vplus(vd345,vd347),vplus(vd344,vd347)),
inference(resolution,[status(thm)],[c_10,c_3275]) ).
tff(c_87,plain,
! [Vd79_85,Vd78_84] : ( vplus(Vd79_85,Vd78_84) = vplus(Vd78_84,Vd79_85) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_6,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_111,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(demodulation,[status(thm),theory(equality)],[c_87,c_87,c_6]) ).
tff(c_53,plain,
! [Vd245_37,Vd244_36] :
( ~ greater(Vd245_37,Vd244_36)
| geq(Vd245_37,Vd244_36) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_553,plain,
geq(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(resolution,[status(thm)],[c_10,c_53]) ).
tff(c_1206,plain,
! [Vd203_208,Vd204_209] :
( less(Vd203_208,Vd204_209)
| greater(Vd203_208,Vd204_209)
| ( Vd204_209 = Vd203_208 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_55,plain,
! [Vd227_39,Vd226_38] :
( greater(Vd227_39,Vd226_38)
| ~ less(Vd226_38,Vd227_39) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_9724,plain,
! [Vd204_506,Vd203_507] :
( greater(Vd204_506,Vd203_507)
| greater(Vd203_507,Vd204_506)
| ( Vd204_506 = Vd203_507 ) ),
inference(resolution,[status(thm)],[c_1206,c_55]) ).
tff(c_24094,plain,
! [Vd204_766,Vd203_767] :
( geq(Vd204_766,Vd203_767)
| greater(Vd203_767,Vd204_766)
| ( Vd204_766 = Vd203_767 ) ),
inference(resolution,[status(thm)],[c_9724,c_53]) ).
tff(c_2,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_24355,plain,
( geq(vplus(vd345,vd348),vplus(vd344,vd347))
| ( vplus(vd345,vd348) = vplus(vd344,vd347) ) ),
inference(resolution,[status(thm)],[c_24094,c_2]) ).
tff(c_24672,plain,
vplus(vd345,vd348) = vplus(vd344,vd347),
inference(splitLeft,[status(thm)],[c_24355]) ).
tff(c_3327,plain,
~ geq(vplus(vd345,vd348),vplus(vd345,vd347)),
inference(resolution,[status(thm)],[c_111,c_3275]) ).
tff(c_24673,plain,
~ geq(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(demodulation,[status(thm),theory(equality)],[c_24672,c_3327]) ).
tff(c_24682,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_553,c_24673]) ).
tff(c_24683,plain,
geq(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(splitRight,[status(thm)],[c_24355]) ).
tff(c_57,plain,
! [Vd209_41,Vd208_40] :
( less(Vd209_41,Vd208_40)
| ~ greater(Vd208_40,Vd209_41) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_482,plain,
! [Vd250_153,Vd249_154] :
( ~ less(Vd250_153,Vd249_154)
| leq(Vd250_153,Vd249_154) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_498,plain,
! [Vd209_41,Vd208_40] :
( leq(Vd209_41,Vd208_40)
| ~ greater(Vd208_40,Vd209_41) ),
inference(resolution,[status(thm)],[c_57,c_482]) ).
tff(c_41,plain,
! [Vd255_33,Vd254_32] :
( leq(Vd255_33,Vd254_32)
| ~ geq(Vd254_32,Vd255_33) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_1377,plain,
! [Vd289_217,Vd292_218,Vd290_219] :
( leq(Vd289_217,Vd292_218)
| ~ leq(Vd289_217,Vd290_219)
| ~ leq(Vd290_219,Vd292_218) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_16116,plain,
! [Vd255_636,Vd292_637,Vd254_638] :
( leq(Vd255_636,Vd292_637)
| ~ leq(Vd254_638,Vd292_637)
| ~ geq(Vd254_638,Vd255_636) ),
inference(resolution,[status(thm)],[c_41,c_1377]) ).
tff(c_413443,plain,
! [Vd255_3518,Vd208_3519,Vd209_3520] :
( leq(Vd255_3518,Vd208_3519)
| ~ geq(Vd209_3520,Vd255_3518)
| ~ greater(Vd208_3519,Vd209_3520) ),
inference(resolution,[status(thm)],[c_498,c_16116]) ).
tff(c_414128,plain,
! [Vd208_3524] :
( leq(vplus(vd344,vd347),Vd208_3524)
| ~ greater(Vd208_3524,vplus(vd345,vd348)) ),
inference(resolution,[status(thm)],[c_24683,c_413443]) ).
tff(c_39,plain,
! [Vd259_31,Vd258_30] :
( geq(Vd259_31,Vd258_30)
| ~ leq(Vd258_30,Vd259_31) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_416894,plain,
! [Vd208_3537] :
( geq(Vd208_3537,vplus(vd344,vd347))
| ~ greater(Vd208_3537,vplus(vd345,vd348)) ),
inference(resolution,[status(thm)],[c_414128,c_39]) ).
tff(c_417070,plain,
geq(vplus(vd345,vd347),vplus(vd344,vd347)),
inference(resolution,[status(thm)],[c_111,c_416894]) ).
tff(c_417145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3328,c_417070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 15:22:50 EDT 2023
% 0.15/0.37 % CPUTime :
% 120.57/101.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.57/101.05
% 120.57/101.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 120.57/101.08
% 120.57/101.08 Inference rules
% 120.57/101.08 ----------------------
% 120.57/101.08 #Ref : 47
% 120.57/101.08 #Sup : 100431
% 120.57/101.08 #Fact : 6
% 120.57/101.08 #Define : 0
% 120.57/101.08 #Split : 50
% 120.57/101.08 #Chain : 0
% 120.57/101.08 #Close : 0
% 120.57/101.08
% 120.57/101.08 Ordering : KBO
% 120.57/101.08
% 120.57/101.08 Simplification rules
% 120.57/101.08 ----------------------
% 120.57/101.08 #Subsume : 28092
% 120.57/101.08 #Demod : 36007
% 120.57/101.08 #Tautology : 10990
% 120.57/101.08 #SimpNegUnit : 4903
% 120.57/101.08 #BackRed : 1110
% 120.57/101.08
% 120.57/101.08 #Partial instantiations: 0
% 120.57/101.08 #Strategies tried : 1
% 120.57/101.08
% 120.57/101.08 Timing (in seconds)
% 120.57/101.08 ----------------------
% 120.57/101.09 Preprocessing : 0.61
% 120.57/101.09 Parsing : 0.30
% 120.57/101.09 CNF conversion : 0.04
% 120.57/101.09 Main loop : 99.34
% 120.57/101.09 Inferencing : 8.16
% 120.57/101.09 Reduction : 42.77
% 120.57/101.09 Demodulation : 28.46
% 120.57/101.09 BG Simplification : 0.52
% 120.57/101.09 Subsumption : 34.20
% 120.57/101.09 Abstraction : 0.78
% 120.57/101.09 MUC search : 0.00
% 120.57/101.09 Cooper : 0.00
% 120.57/101.09 Total : 100.00
% 120.57/101.09 Index Insertion : 0.00
% 120.57/101.09 Index Deletion : 0.00
% 120.57/101.09 Index Matching : 0.00
% 120.57/101.09 BG Taut test : 0.00
%------------------------------------------------------------------------------