TSTP Solution File: SWV196+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV196+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 : n029.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 11:03:10 EDT 2023
% Result : Theorem 11.19s 3.59s
% Output : CNFRefutation 11.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 80
% Syntax : Number of formulae : 108 ( 24 unt; 71 typ; 0 def)
% Number of atoms : 107 ( 47 equ)
% Maximal formula atoms : 52 ( 2 avg)
% Number of connectives : 95 ( 25 ~; 14 |; 47 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 4 avg)
% Maximal term depth : 3 ( 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 : 66 ( 66 usr; 21 con; 0-8 aty)
% Number of variables : 32 (; 32 !; 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 > z_defuse > xinit_noise_defuse > xinit_mean_defuse > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > rho_defuse > pv5 > n998 > n5 > n4 > n3 > n2 > n1 > n0 > 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_29 > #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(xinit_defuse,type,
xinit_defuse: $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('#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('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $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('#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(xinit_noise_defuse,type,
xinit_noise_defuse: $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(z_defuse,type,
z_defuse: $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(rho_defuse,type,
rho_defuse: $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(n998,type,
n998: $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(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_29',type,
'#skF_29': $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(u_defuse,type,
u_defuse: $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff(pv5,type,
pv5: $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(xinit_mean_defuse,type,
xinit_mean_defuse: $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(sigma_defuse,type,
sigma_defuse: $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_378,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
tff(f_116,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_402,axiom,
! [X] : ( pred(succ(X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
tff(f_590,negated_conjecture,
~ ( ( ( a_select2(rho_defuse,n0) = use )
& ( a_select2(rho_defuse,n1) = use )
& ( a_select2(rho_defuse,n2) = use )
& ( a_select2(sigma_defuse,n0) = use )
& ( a_select2(sigma_defuse,n1) = use )
& ( a_select2(sigma_defuse,n2) = use )
& ( a_select2(sigma_defuse,n3) = use )
& ( a_select2(sigma_defuse,n4) = use )
& ( a_select2(sigma_defuse,n5) = use )
& ( a_select3(u_defuse,n0,n0) = use )
& ( a_select3(u_defuse,n1,n0) = use )
& ( a_select3(u_defuse,n2,n0) = use )
& ( a_select2(xinit_defuse,n3) = use )
& ( a_select2(xinit_defuse,n4) = use )
& ( a_select2(xinit_defuse,n5) = use )
& ( a_select2(xinit_mean_defuse,n0) = use )
& ( a_select2(xinit_mean_defuse,n1) = use )
& ( a_select2(xinit_mean_defuse,n2) = use )
& ( a_select2(xinit_mean_defuse,n3) = use )
& ( a_select2(xinit_mean_defuse,n4) = use )
& ( a_select2(xinit_mean_defuse,n5) = use )
& ( a_select2(xinit_noise_defuse,n0) = use )
& ( a_select2(xinit_noise_defuse,n1) = use )
& ( a_select2(xinit_noise_defuse,n2) = use )
& ( a_select2(xinit_noise_defuse,n3) = use )
& ( a_select2(xinit_noise_defuse,n4) = use )
& ( a_select2(xinit_noise_defuse,n5) = use )
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> ( a_select3(u_defuse,A,B) = use ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> ( a_select3(z_defuse,C,D) = use ) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( ( n0 = E )
& ( pv5 = F ) )
& ~ ( ( n1 = E )
& ( pv5 = F ) )
& ~ ( ( n2 = E )
& ( pv5 = F ) ) )
=> ( a_select3(z_defuse,E,F) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).
tff(f_655,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> ( X = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
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_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_448,plain,
succ(tptp_minus_1) = n0,
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_3838,plain,
! [Y_296,X_297] :
( gt(succ(Y_296),X_297)
| ~ leq(X_297,Y_296) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_3884,plain,
! [Y_298] : ~ leq(succ(Y_298),Y_298),
inference(resolution,[status(thm)],[c_3838,c_6]) ).
tff(c_3925,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[status(thm),theory(equality)],[c_448,c_3884]) ).
tff(c_3971,plain,
~ geq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[c_16,c_3925]) ).
tff(c_833,plain,
! [X_195] : ( pred(succ(X_195)) = X_195 ),
inference(cnfTransformation,[status(thm)],[f_402]) ).
tff(c_860,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_833]) ).
tff(c_538,plain,
leq(n0,pv5),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_536,plain,
leq(pv5,n0),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_5587,plain,
! [X_340] :
( ( n0 = X_340 )
| ~ leq(X_340,n0)
| ~ leq(n0,X_340) ),
inference(cnfTransformation,[status(thm)],[f_655]) ).
tff(c_5601,plain,
( ( pv5 = n0 )
| ~ leq(n0,pv5) ),
inference(resolution,[status(thm)],[c_536,c_5587]) ).
tff(c_5613,plain,
pv5 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_538,c_5601]) ).
tff(c_532,plain,
gt(pv5,n0),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_3098,plain,
! [X_269,Y_270] :
( leq(X_269,pred(Y_270))
| ~ gt(Y_270,X_269) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_1073,plain,
! [C_204,D_205] :
( ( a_select3(z_defuse,C_204,D_205) = use )
| ~ leq(D_205,pred(pv5))
| ~ leq(C_204,n2)
| ~ leq(n0,D_205)
| ~ leq(n0,C_204) ),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_1077,plain,
! [C_204] :
( ( a_select3(z_defuse,C_204,pred(pv5)) = use )
| ~ leq(C_204,n2)
| ~ leq(n0,pred(pv5))
| ~ leq(n0,C_204) ),
inference(resolution,[status(thm)],[c_8,c_1073]) ).
tff(c_1233,plain,
~ leq(n0,pred(pv5)),
inference(splitLeft,[status(thm)],[c_1077]) ).
tff(c_3120,plain,
~ gt(pv5,n0),
inference(resolution,[status(thm)],[c_3098,c_1233]) ).
tff(c_3165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_3120]) ).
tff(c_3167,plain,
leq(n0,pred(pv5)),
inference(splitRight,[status(thm)],[c_1077]) ).
tff(c_18,plain,
! [X_13,Y_14] :
( geq(X_13,Y_14)
| ~ leq(Y_14,X_13) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_3182,plain,
geq(pred(pv5),n0),
inference(resolution,[status(thm)],[c_3167,c_18]) ).
tff(c_5626,plain,
geq(pred(n0),n0),
inference(demodulation,[status(thm),theory(equality)],[c_5613,c_3182]) ).
tff(c_5645,plain,
geq(tptp_minus_1,n0),
inference(demodulation,[status(thm),theory(equality)],[c_860,c_5626]) ).
tff(c_5647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3971,c_5645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV196+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
% 0.14/0.35 % Computer : n029.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 23:10:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 11.19/3.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.19/3.60
% 11.19/3.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.19/3.63
% 11.19/3.63 Inference rules
% 11.19/3.63 ----------------------
% 11.19/3.63 #Ref : 0
% 11.19/3.63 #Sup : 1327
% 11.19/3.63 #Fact : 0
% 11.19/3.63 #Define : 0
% 11.19/3.63 #Split : 7
% 11.19/3.63 #Chain : 0
% 11.19/3.63 #Close : 0
% 11.19/3.63
% 11.19/3.63 Ordering : KBO
% 11.19/3.63
% 11.19/3.63 Simplification rules
% 11.19/3.63 ----------------------
% 11.19/3.63 #Subsume : 147
% 11.19/3.63 #Demod : 603
% 11.19/3.63 #Tautology : 512
% 11.19/3.63 #SimpNegUnit : 4
% 11.19/3.63 #BackRed : 25
% 11.19/3.63
% 11.19/3.63 #Partial instantiations: 0
% 11.19/3.63 #Strategies tried : 1
% 11.19/3.63
% 11.19/3.63 Timing (in seconds)
% 11.19/3.63 ----------------------
% 11.19/3.63 Preprocessing : 0.93
% 11.19/3.63 Parsing : 0.37
% 11.19/3.63 CNF conversion : 0.08
% 11.19/3.63 Main loop : 1.63
% 11.19/3.63 Inferencing : 0.42
% 11.19/3.63 Reduction : 0.69
% 11.19/3.63 Demodulation : 0.50
% 11.19/3.63 BG Simplification : 0.12
% 11.19/3.63 Subsumption : 0.34
% 11.19/3.63 Abstraction : 0.07
% 11.19/3.63 MUC search : 0.00
% 11.19/3.63 Cooper : 0.00
% 11.19/3.63 Total : 2.62
% 11.19/3.63 Index Insertion : 0.00
% 11.19/3.63 Index Deletion : 0.00
% 11.19/3.63 Index Matching : 0.00
% 11.19/3.63 BG Taut test : 0.00
%------------------------------------------------------------------------------