TSTP Solution File: SWV192+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV192+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 11:03:09 EDT 2023
% Result : Theorem 9.52s 3.26s
% Output : CNFRefutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 72
% Syntax : Number of formulae : 83 ( 7 unt; 71 typ; 0 def)
% Number of atoms : 73 ( 42 equ)
% Maximal formula atoms : 52 ( 6 avg)
% Number of connectives : 76 ( 15 ~; 10 |; 46 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 6 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 : 66 ( 66 usr; 21 con; 0-8 aty)
% Number of variables : 10 (; 10 !; 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_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,pred(pv5)) )
=> ( ( ~ ( ( n0 = E )
& ( pv5 = F ) )
& ~ ( ( n1 = E )
& ( pv5 = F ) )
& ~ ( ( n2 = E )
& ( pv5 = F ) ) )
=> ( a_select3(u_defuse,E,F) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
tff(c_512,plain,
a_select3(u_defuse,'#skF_28','#skF_29') != use,
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_526,plain,
leq(n0,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_522,plain,
leq('#skF_28',n2),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_524,plain,
leq(n0,'#skF_29'),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_520,plain,
leq('#skF_29',pred(pv5)),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_1200,plain,
! [A_210,B_211] :
( ( a_select3(u_defuse,A_210,B_211) = use )
| ~ leq(B_211,pred(pv5))
| ~ leq(A_210,n2)
| ~ leq(n0,B_211)
| ~ leq(n0,A_210) ),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_1202,plain,
! [A_210] :
( ( a_select3(u_defuse,A_210,'#skF_29') = use )
| ~ leq(A_210,n2)
| ~ leq(n0,'#skF_29')
| ~ leq(n0,A_210) ),
inference(resolution,[status(thm)],[c_520,c_1200]) ).
tff(c_2810,plain,
! [A_262] :
( ( a_select3(u_defuse,A_262,'#skF_29') = use )
| ~ leq(A_262,n2)
| ~ leq(n0,A_262) ),
inference(demodulation,[status(thm),theory(equality)],[c_524,c_1202]) ).
tff(c_2821,plain,
( ( a_select3(u_defuse,'#skF_28','#skF_29') = use )
| ~ leq(n0,'#skF_28') ),
inference(resolution,[status(thm)],[c_522,c_2810]) ).
tff(c_2827,plain,
a_select3(u_defuse,'#skF_28','#skF_29') = use,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_2821]) ).
tff(c_2829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_512,c_2827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV192+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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:31:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 9.52/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.52/3.26
% 9.52/3.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.52/3.29
% 9.52/3.29 Inference rules
% 9.52/3.29 ----------------------
% 9.52/3.29 #Ref : 0
% 9.52/3.29 #Sup : 598
% 9.52/3.29 #Fact : 0
% 9.52/3.29 #Define : 0
% 9.52/3.29 #Split : 4
% 9.52/3.29 #Chain : 0
% 9.52/3.29 #Close : 0
% 9.52/3.29
% 9.52/3.29 Ordering : KBO
% 9.52/3.29
% 9.52/3.29 Simplification rules
% 9.52/3.29 ----------------------
% 9.52/3.29 #Subsume : 3
% 9.52/3.29 #Demod : 324
% 9.52/3.29 #Tautology : 323
% 9.52/3.29 #SimpNegUnit : 1
% 9.52/3.29 #BackRed : 0
% 9.52/3.29
% 9.52/3.29 #Partial instantiations: 0
% 9.52/3.29 #Strategies tried : 1
% 9.52/3.29
% 9.52/3.29 Timing (in seconds)
% 9.52/3.29 ----------------------
% 9.52/3.29 Preprocessing : 0.94
% 9.52/3.29 Parsing : 0.38
% 9.52/3.29 CNF conversion : 0.07
% 9.52/3.29 Main loop : 1.19
% 9.52/3.29 Inferencing : 0.25
% 9.52/3.29 Reduction : 0.47
% 9.52/3.29 Demodulation : 0.35
% 9.52/3.29 BG Simplification : 0.11
% 9.52/3.29 Subsumption : 0.31
% 9.52/3.29 Abstraction : 0.07
% 9.52/3.29 MUC search : 0.00
% 9.52/3.29 Cooper : 0.00
% 9.52/3.29 Total : 2.18
% 9.52/3.29 Index Insertion : 0.00
% 9.52/3.29 Index Deletion : 0.00
% 9.52/3.29 Index Matching : 0.00
% 9.52/3.29 BG Taut test : 0.00
%------------------------------------------------------------------------------