TSTP Solution File: SWV157+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n018.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 11:03:02 EDT 2023
% Result : Theorem 10.80s 3.51s
% Output : CNFRefutation 11.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 80
% Syntax : Number of formulae : 95 ( 9 unt; 77 typ; 0 def)
% Number of atoms : 44 ( 14 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 9 |; 10 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 166 ( 53 >; 113 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 72 ( 72 usr; 23 con; 0-8 aty)
% Number of variables : 13 (; 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > times > plus > minus > divide > dim > a_select2 > #nlpp > trans > succ > sqrt > pred > inv > exp > x > use > true > tptp_sum_index > tptp_pi > tptp_minus_2 > tptp_minus_1 > tptp_float_0_0 > sigma > rho > q > pv84 > pv47 > pv10 > n5 > n4 > n3 > n2 > n135299 > n1 > n0 > mu > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_28 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(times,type,
times: ( $i * $i ) > $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(n135299,type,
n135299: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff(tptp_minus_2,type,
tptp_minus_2: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rho,type,
rho: $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $i ).
tff(tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(n3,type,
n3: $i ).
tff(pv10,type,
pv10: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff(sqrt,type,
sqrt: $i > $i ).
tff(mu,type,
mu: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(pv47,type,
pv47: $i ).
tff(tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(sigma,type,
sigma: $i ).
tff(tptp_pi,type,
tptp_pi: $i ).
tff(pv84,type,
pv84: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff(tptp_sum_index,type,
tptp_sum_index: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(q,type,
q: $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_28',type,
'#skF_28': $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(def,type,
def: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(exp,type,
exp: $i > $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_513,negated_conjecture,
~ ( ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) )
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv47)) )
=> ( a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> ( sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pv47) )
=> ( ( pv47 != C )
=> ( a_select3(q,pv10,C) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
tff(f_105,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
tff(f_100,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(c_514,plain,
pv47 != '#skF_28',
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_2436,plain,
! [X_248,Y_249] :
( leq(X_248,pred(Y_249))
| ~ gt(Y_249,X_248) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_518,plain,
leq(n0,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_532,plain,
sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = pv84,
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_522,plain,
! [A_181] :
( ( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A_181)),minus(a_select2(x,pv10),a_select2(mu,A_181))),tptp_minus_2),times(a_select2(sigma,A_181),a_select2(sigma,A_181)))),a_select2(rho,A_181)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A_181))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = a_select3(q,pv10,A_181) )
| ~ leq(A_181,pred(pv47))
| ~ leq(n0,A_181) ),
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_1464,plain,
! [A_224] :
( ( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A_224)),minus(a_select2(x,pv10),a_select2(mu,A_224))),tptp_minus_2),times(a_select2(sigma,A_224),a_select2(sigma,A_224)))),a_select2(rho,A_224)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A_224))),pv84) = a_select3(q,pv10,A_224) )
| ~ leq(A_224,pred(pv47))
| ~ leq(n0,A_224) ),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_522]) ).
tff(c_512,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,'#skF_28')),minus(a_select2(x,pv10),a_select2(mu,'#skF_28'))),tptp_minus_2),times(a_select2(sigma,'#skF_28'),a_select2(sigma,'#skF_28')))),a_select2(rho,'#skF_28')),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,'#skF_28'))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != a_select3(q,pv10,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_633,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,'#skF_28')),minus(a_select2(x,pv10),a_select2(mu,'#skF_28'))),tptp_minus_2),times(a_select2(sigma,'#skF_28'),a_select2(sigma,'#skF_28')))),a_select2(rho,'#skF_28')),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,'#skF_28'))),pv84) != a_select3(q,pv10,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_512]) ).
tff(c_1470,plain,
( ~ leq('#skF_28',pred(pv47))
| ~ leq(n0,'#skF_28') ),
inference(superposition,[status(thm),theory(equality)],[c_1464,c_633]) ).
tff(c_1477,plain,
~ leq('#skF_28',pred(pv47)),
inference(demodulation,[status(thm),theory(equality)],[c_518,c_1470]) ).
tff(c_2489,plain,
~ gt(pv47,'#skF_28'),
inference(resolution,[status(thm)],[c_2436,c_1477]) ).
tff(c_516,plain,
leq('#skF_28',pv47),
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_3846,plain,
! [Y_278,X_279] :
( gt(Y_278,X_279)
| ( Y_278 = X_279 )
| ~ leq(X_279,Y_278) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3906,plain,
( gt(pv47,'#skF_28')
| ( pv47 = '#skF_28' ) ),
inference(resolution,[status(thm)],[c_516,c_3846]) ).
tff(c_3934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_514,c_2489,c_3906]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n018.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 23:05:36 EDT 2023
% 0.15/0.37 % CPUTime :
% 10.80/3.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.80/3.52
% 10.80/3.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.07/3.54
% 11.07/3.54 Inference rules
% 11.07/3.54 ----------------------
% 11.07/3.54 #Ref : 0
% 11.07/3.54 #Sup : 868
% 11.07/3.54 #Fact : 2
% 11.07/3.54 #Define : 0
% 11.07/3.54 #Split : 3
% 11.07/3.54 #Chain : 0
% 11.07/3.54 #Close : 0
% 11.07/3.54
% 11.07/3.54 Ordering : KBO
% 11.07/3.54
% 11.07/3.54 Simplification rules
% 11.07/3.54 ----------------------
% 11.07/3.54 #Subsume : 112
% 11.07/3.54 #Demod : 315
% 11.07/3.54 #Tautology : 273
% 11.07/3.54 #SimpNegUnit : 7
% 11.07/3.54 #BackRed : 0
% 11.07/3.54
% 11.07/3.54 #Partial instantiations: 0
% 11.07/3.54 #Strategies tried : 1
% 11.07/3.54
% 11.07/3.54 Timing (in seconds)
% 11.07/3.54 ----------------------
% 11.07/3.55 Preprocessing : 0.95
% 11.07/3.55 Parsing : 0.37
% 11.07/3.55 CNF conversion : 0.07
% 11.07/3.55 Main loop : 1.40
% 11.07/3.55 Inferencing : 0.36
% 11.07/3.55 Reduction : 0.56
% 11.07/3.55 Demodulation : 0.41
% 11.07/3.55 BG Simplification : 0.11
% 11.07/3.55 Subsumption : 0.31
% 11.07/3.55 Abstraction : 0.07
% 11.07/3.55 MUC search : 0.00
% 11.07/3.55 Cooper : 0.00
% 11.07/3.55 Total : 2.40
% 11.07/3.55 Index Insertion : 0.00
% 11.07/3.55 Index Deletion : 0.00
% 11.07/3.55 Index Matching : 0.00
% 11.07/3.55 BG Taut test : 0.00
%------------------------------------------------------------------------------