TSTP Solution File: SWV167+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV167+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 : n017.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 11:03:05 EDT 2023
% Result : Theorem 9.93s 3.26s
% Output : CNFRefutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 76
% Syntax : Number of formulae : 90 ( 8 unt; 73 typ; 0 def)
% Number of atoms : 64 ( 21 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 58 ( 11 ~; 9 |; 22 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 49 >; 111 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 68 ( 68 usr; 23 con; 0-8 aty)
% Number of variables : 20 (; 20 !; 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 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > use > true > tptp_minus_1 > tptp_float_0_0 > sigmaold_init > sigma_init > rhoold_init > rho_init > q_init > pv40 > n5 > n4 > n3 > n2 > n135299 > n1 > n0 > muold_init > mu_init > loopcounter > init > def > center_init > #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(center_init,type,
center_init: $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(loopcounter,type,
loopcounter: $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(rho_init,type,
rho_init: $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(sigmaold_init,type,
sigmaold_init: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(pv40,type,
pv40: $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rhoold_init,type,
rhoold_init: $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('#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(mu_init,type,
mu_init: $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(q_init,type,
q_init: $i ).
tff(n0,type,
n0: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $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(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff(muold_init,type,
muold_init: $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(init,type,
init: $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(sigma_init,type,
sigma_init: $i ).
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(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_562,negated_conjecture,
~ ( ( ( a_select2(mu_init,pv40) = init )
& ( a_select2(sigma_init,pv40) = init )
& leq(n0,pv40)
& leq(pv40,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> ( a_select3(q_init,A,B) = init ) ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> ( a_select2(rho_init,C) = init ) )
& ! [D] :
( ( leq(n0,D)
& leq(D,pred(pv40)) )
=> ( a_select2(mu_init,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv40)) )
=> ( a_select2(sigma_init,E) = init ) )
& ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> ( a_select3(center_init,F,n0) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> ( a_select2(muold_init,G) = init ) ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(n0,H)
& leq(H,n4) )
=> ( a_select2(rhoold_init,H) = init ) ) )
& ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(n0,I)
& leq(I,n4) )
=> ( a_select2(sigmaold_init,I) = init ) ) ) )
=> ! [J] :
( ( leq(n0,J)
& leq(J,pv40) )
=> ( a_select2(mu_init,J) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0011) ).
tff(f_106,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
tff(f_101,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(c_512,plain,
a_select2(mu_init,'#skF_28') != init,
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_516,plain,
leq(n0,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_1626,plain,
! [X_234,Y_235] :
( leq(X_234,pred(Y_235))
| ~ gt(Y_235,X_234) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_528,plain,
! [D_185] :
( ( a_select2(mu_init,D_185) = init )
| ~ leq(D_185,pred(pv40))
| ~ leq(n0,D_185) ),
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_2480,plain,
! [X_262] :
( ( a_select2(mu_init,X_262) = init )
| ~ leq(n0,X_262)
| ~ gt(pv40,X_262) ),
inference(resolution,[status(thm)],[c_1626,c_528]) ).
tff(c_2537,plain,
( ( a_select2(mu_init,'#skF_28') = init )
| ~ gt(pv40,'#skF_28') ),
inference(resolution,[status(thm)],[c_516,c_2480]) ).
tff(c_2563,plain,
~ gt(pv40,'#skF_28'),
inference(negUnitSimplification,[status(thm)],[c_512,c_2537]) ).
tff(c_514,plain,
leq('#skF_28',pv40),
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_3197,plain,
! [Y_271,X_272] :
( gt(Y_271,X_272)
| ( Y_271 = X_272 )
| ~ leq(X_272,Y_271) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_3248,plain,
( gt(pv40,'#skF_28')
| ( pv40 = '#skF_28' ) ),
inference(resolution,[status(thm)],[c_514,c_3197]) ).
tff(c_3273,plain,
pv40 = '#skF_28',
inference(negUnitSimplification,[status(thm)],[c_2563,c_3248]) ).
tff(c_540,plain,
a_select2(mu_init,pv40) = init,
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_3288,plain,
a_select2(mu_init,'#skF_28') = init,
inference(demodulation,[status(thm),theory(equality)],[c_3273,c_540]) ).
tff(c_3296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_512,c_3288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV167+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:23:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 9.93/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.93/3.27
% 9.93/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.23/3.30
% 10.23/3.30 Inference rules
% 10.23/3.30 ----------------------
% 10.23/3.30 #Ref : 0
% 10.23/3.30 #Sup : 694
% 10.23/3.30 #Fact : 0
% 10.23/3.30 #Define : 0
% 10.23/3.30 #Split : 5
% 10.23/3.30 #Chain : 0
% 10.23/3.30 #Close : 0
% 10.23/3.30
% 10.23/3.30 Ordering : KBO
% 10.23/3.30
% 10.23/3.30 Simplification rules
% 10.23/3.30 ----------------------
% 10.23/3.30 #Subsume : 51
% 10.23/3.30 #Demod : 313
% 10.23/3.30 #Tautology : 255
% 10.23/3.30 #SimpNegUnit : 5
% 10.23/3.30 #BackRed : 19
% 10.23/3.30
% 10.23/3.30 #Partial instantiations: 0
% 10.23/3.30 #Strategies tried : 1
% 10.23/3.30
% 10.23/3.30 Timing (in seconds)
% 10.23/3.30 ----------------------
% 10.23/3.31 Preprocessing : 0.92
% 10.23/3.31 Parsing : 0.36
% 10.23/3.31 CNF conversion : 0.07
% 10.23/3.31 Main loop : 1.32
% 10.23/3.31 Inferencing : 0.33
% 10.23/3.31 Reduction : 0.51
% 10.23/3.31 Demodulation : 0.35
% 10.23/3.31 BG Simplification : 0.11
% 10.23/3.31 Subsumption : 0.31
% 10.23/3.31 Abstraction : 0.07
% 10.23/3.31 MUC search : 0.00
% 10.23/3.31 Cooper : 0.00
% 10.23/3.31 Total : 2.29
% 10.23/3.31 Index Insertion : 0.00
% 10.23/3.31 Index Deletion : 0.00
% 10.23/3.31 Index Matching : 0.00
% 10.23/3.31 BG Taut test : 0.00
%------------------------------------------------------------------------------