TSTP Solution File: SWV232+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV232+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 : n032.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 11:03:15 EDT 2023
% Result : Theorem 5.11s 2.16s
% Output : CNFRefutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 65
% Syntax : Number of formulae : 71 ( 5 unt; 64 typ; 0 def)
% Number of atoms : 35 ( 26 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 39 ( 11 ~; 1 |; 23 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 59 ( 59 usr; 14 con; 0-8 aty)
% Number of variables : 4 (; 4 !; 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 > rho > 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(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(rho,type,
rho: $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_544,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) )
=> ( ( ~ ( ( n0 = C )
& ( n1 = D ) )
& ~ ( ( n0 = C )
& ( n2 = D ) )
& ~ ( ( n0 = D )
& ( n2 = C ) )
& ~ ( ( n1 = C )
& ( n1 = D ) )
& ~ ( ( n1 = C )
& ( n2 = D ) )
& ~ ( ( n1 = D )
& ( n2 = C ) )
& ~ ( ( n2 = C )
& ( n2 = D ) )
& ( n0 = D )
& ( n1 = C )
& ( n1 = D )
& ( n2 = C ) )
=> ( a_select2(rho,n1) = n0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0841) ).
tff(c_518,plain,
n1 = '#skF_28',
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_528,plain,
( ( n1 != '#skF_29' )
| ( n1 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_640,plain,
'#skF_29' != '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_518,c_528]) ).
tff(c_516,plain,
n1 = '#skF_29',
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_652,plain,
'#skF_29' = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_516]) ).
tff(c_653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_640,c_652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV232+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
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 23:13:36 EDT 2023
% 0.12/0.32 % CPUTime :
% 5.11/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.11/2.16
% 5.11/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.42/2.19
% 5.42/2.19 Inference rules
% 5.42/2.19 ----------------------
% 5.42/2.19 #Ref : 0
% 5.42/2.19 #Sup : 0
% 5.42/2.19 #Fact : 0
% 5.42/2.19 #Define : 0
% 5.42/2.19 #Split : 0
% 5.42/2.19 #Chain : 0
% 5.42/2.19 #Close : 0
% 5.42/2.19
% 5.42/2.19 Ordering : KBO
% 5.42/2.19
% 5.42/2.19 Simplification rules
% 5.42/2.19 ----------------------
% 5.42/2.19 #Subsume : 303
% 5.42/2.19 #Demod : 55
% 5.42/2.19 #Tautology : 0
% 5.42/2.19 #SimpNegUnit : 1
% 5.42/2.19 #BackRed : 0
% 5.42/2.19
% 5.42/2.19 #Partial instantiations: 0
% 5.42/2.19 #Strategies tried : 1
% 5.42/2.19
% 5.42/2.19 Timing (in seconds)
% 5.42/2.19 ----------------------
% 5.42/2.19 Preprocessing : 0.96
% 5.42/2.19 Parsing : 0.38
% 5.42/2.19 CNF conversion : 0.08
% 5.42/2.19 Main loop : 0.19
% 5.42/2.19 Inferencing : 0.00
% 5.42/2.19 Reduction : 0.10
% 5.42/2.19 Demodulation : 0.07
% 5.42/2.19 BG Simplification : 0.12
% 5.42/2.19 Subsumption : 0.07
% 5.42/2.19 Abstraction : 0.06
% 5.42/2.19 MUC search : 0.00
% 5.42/2.19 Cooper : 0.00
% 5.42/2.19 Total : 1.20
% 5.42/2.19 Index Insertion : 0.00
% 5.42/2.19 Index Deletion : 0.00
% 5.42/2.19 Index Matching : 0.00
% 5.42/2.19 BG Taut test : 0.00
%------------------------------------------------------------------------------