TSTP Solution File: SWV220+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV220+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 11:03:13 EDT 2023
% Result : Theorem 5.72s 2.28s
% Output : CNFRefutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 72
% Syntax : Number of formulae : 96 ( 28 unt; 66 typ; 0 def)
% Number of atoms : 69 ( 64 equ)
% Maximal formula atoms : 39 ( 2 avg)
% Number of connectives : 59 ( 20 ~; 1 |; 36 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 164 ( 51 >; 113 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 14 con; 0-8 aty)
% Number of variables : 2 (; 2 !; 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 > pred > inv > use > true > tptp_minus_1 > tptp_float_0_0 > sigma > n5 > n400 > 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(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('#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(divide,type,
divide: ( $i * $i ) > $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(sigma,type,
sigma: $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(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(n400,type,
n400: $i ).
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_573,negated_conjecture,
~ ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n1 = A )
& ( n3 = A )
& ( n3 = B )
& ( n5 = B ) )
=> ( times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0361) ).
tff(f_672,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
tff(f_673,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
tff(f_671,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
tff(f_669,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
tff(f_670,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
tff(c_518,plain,
n3 = '#skF_28',
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_634,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_636,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_673]) ).
tff(c_637,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_634,c_636]) ).
tff(c_658,plain,
succ(n2) = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_637]) ).
tff(c_520,plain,
n1 = '#skF_28',
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_632,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_671]) ).
tff(c_638,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_632,c_634]) ).
tff(c_643,plain,
succ('#skF_28') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_520,c_638]) ).
tff(c_628,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_669]) ).
tff(c_640,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_637,c_638,c_632,c_628]) ).
tff(c_660,plain,
succ('#skF_28') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_640]) ).
tff(c_677,plain,
n4 = n2,
inference(demodulation,[status(thm),theory(equality)],[c_643,c_660]) ).
tff(c_630,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_639,plain,
succ(succ(n3)) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_637,c_638,c_632,c_630]) ).
tff(c_641,plain,
succ(n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_640,c_639]) ).
tff(c_679,plain,
succ(n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_677,c_641]) ).
tff(c_699,plain,
n5 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_658,c_679]) ).
tff(c_534,plain,
( ( n5 != '#skF_29' )
| ( n3 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_668,plain,
n5 != '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_534]) ).
tff(c_704,plain,
'#skF_29' != '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_699,c_668]) ).
tff(c_516,plain,
n3 = '#skF_29',
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_726,plain,
'#skF_29' = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_516]) ).
tff(c_727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_704,c_726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 3 22:55:17 EDT 2023
% 0.15/0.34 % CPUTime :
% 5.72/2.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.72/2.28
% 5.72/2.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.72/2.31
% 5.72/2.31 Inference rules
% 5.72/2.31 ----------------------
% 5.72/2.31 #Ref : 0
% 5.72/2.31 #Sup : 0
% 5.72/2.31 #Fact : 0
% 5.72/2.31 #Define : 0
% 5.72/2.31 #Split : 0
% 5.72/2.31 #Chain : 0
% 5.72/2.31 #Close : 0
% 5.72/2.31
% 5.72/2.31 Ordering : KBO
% 5.72/2.32
% 5.72/2.32 Simplification rules
% 5.72/2.32 ----------------------
% 5.72/2.32 #Subsume : 302
% 5.72/2.32 #Demod : 96
% 5.72/2.32 #Tautology : 15
% 5.72/2.32 #SimpNegUnit : 1
% 5.72/2.32 #BackRed : 0
% 5.72/2.32
% 5.72/2.32 #Partial instantiations: 0
% 5.72/2.32 #Strategies tried : 1
% 5.72/2.32
% 5.72/2.32 Timing (in seconds)
% 5.72/2.32 ----------------------
% 5.72/2.32 Preprocessing : 1.01
% 5.72/2.32 Parsing : 0.40
% 5.72/2.32 CNF conversion : 0.08
% 5.72/2.32 Main loop : 0.24
% 5.72/2.32 Inferencing : 0.00
% 5.72/2.32 Reduction : 0.13
% 5.72/2.32 Demodulation : 0.10
% 5.72/2.32 BG Simplification : 0.12
% 5.72/2.32 Subsumption : 0.08
% 5.72/2.32 Abstraction : 0.07
% 5.72/2.32 MUC search : 0.00
% 5.72/2.32 Cooper : 0.00
% 5.72/2.32 Total : 1.30
% 6.10/2.32 Index Insertion : 0.00
% 6.10/2.32 Index Deletion : 0.00
% 6.10/2.32 Index Matching : 0.00
% 6.10/2.32 BG Taut test : 0.00
%------------------------------------------------------------------------------