TSTP Solution File: SWV225+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV225+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 : n007.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 11:03:14 EDT 2023
% Result : Theorem 5.15s 2.15s
% Output : CNFRefutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 66
% Syntax : Number of formulae : 75 ( 8 unt; 65 typ; 0 def)
% Number of atoms : 89 ( 76 equ)
% Maximal formula atoms : 79 ( 8 avg)
% Number of connectives : 114 ( 35 ~; 1 |; 73 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 5 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 : 60 ( 60 usr; 15 con; 0-8 aty)
% Number of variables : 6 (; 6 !; 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 > xinit_noise > use > true > tptp_minus_1 > tptp_float_0_0 > r_ds1_filter > q_ds1_filter > 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(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(r_ds1_filter,type,
r_ds1_filter: $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff(xinit_noise,type,
xinit_noise: $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('#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(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('#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('#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(q_ds1_filter,type,
q_ds1_filter: $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(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_670,negated_conjecture,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n2 = F ) )
& ~ ( ( n0 = E )
& ( n3 = F ) )
& ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n2 = F ) )
& ~ ( ( n1 = E )
& ( n3 = F ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n2 = E ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n2 = F ) )
& ~ ( ( n2 = E )
& ( n3 = F ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n1 = E )
& ( n1 = F )
& ( n2 = F )
& ( n3 = E ) )
=> ( n0 = a_select2(xinit_noise,n1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0561) ).
tff(c_520,plain,
n1 = '#skF_28',
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_518,plain,
n1 = '#skF_29',
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_687,plain,
'#skF_29' = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_520,c_518]) ).
tff(c_568,plain,
( ( n2 != '#skF_29' )
| ( n1 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_675,plain,
n2 != '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_520,c_568]) ).
tff(c_691,plain,
n2 != '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_687,c_675]) ).
tff(c_516,plain,
n2 = '#skF_29',
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_706,plain,
n2 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_687,c_516]) ).
tff(c_707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_691,c_706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % 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 : n007.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 22:35:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.15/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/2.15
% 5.15/2.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.15/2.18
% 5.15/2.18 Inference rules
% 5.15/2.18 ----------------------
% 5.15/2.18 #Ref : 0
% 5.15/2.18 #Sup : 0
% 5.15/2.18 #Fact : 0
% 5.15/2.18 #Define : 0
% 5.15/2.18 #Split : 0
% 5.15/2.18 #Chain : 0
% 5.15/2.18 #Close : 0
% 5.15/2.18
% 5.15/2.18 Ordering : KBO
% 5.15/2.18
% 5.15/2.18 Simplification rules
% 5.15/2.18 ----------------------
% 5.15/2.18 #Subsume : 325
% 5.15/2.18 #Demod : 47
% 5.15/2.18 #Tautology : 2
% 5.15/2.18 #SimpNegUnit : 1
% 5.15/2.18 #BackRed : 0
% 5.15/2.18
% 5.15/2.18 #Partial instantiations: 0
% 5.15/2.18 #Strategies tried : 1
% 5.15/2.18
% 5.15/2.18 Timing (in seconds)
% 5.15/2.18 ----------------------
% 5.15/2.18 Preprocessing : 0.92
% 5.15/2.18 Parsing : 0.36
% 5.15/2.18 CNF conversion : 0.07
% 5.15/2.18 Main loop : 0.20
% 5.15/2.18 Inferencing : 0.00
% 5.15/2.18 Reduction : 0.09
% 5.15/2.18 Demodulation : 0.07
% 5.15/2.18 BG Simplification : 0.11
% 5.15/2.18 Subsumption : 0.06
% 5.15/2.18 Abstraction : 0.06
% 5.15/2.18 MUC search : 0.00
% 5.15/2.18 Cooper : 0.00
% 5.15/2.18 Total : 1.17
% 5.15/2.18 Index Insertion : 0.00
% 5.15/2.18 Index Deletion : 0.00
% 5.15/2.18 Index Matching : 0.00
% 5.15/2.18 BG Taut test : 0.00
%------------------------------------------------------------------------------