TSTP Solution File: SWV225+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Thu Aug 31 21:37:05 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 71
% Syntax : Number of formulae : 81 ( 3 unt; 68 typ; 0 def)
% Number of atoms : 342 ( 267 equ)
% Maximal formula atoms : 98 ( 26 avg)
% Number of connectives : 521 ( 192 ~; 68 |; 248 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 15 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 146 ( 51 >; 95 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 60 ( 60 usr; 15 con; 0-7 aty)
% Number of variables : 26 ( 4 sgn; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
q_ds1_filter: $i ).
tff(decl_56,type,
r_ds1_filter: $i ).
tff(decl_57,type,
xinit_noise: $i ).
tff(decl_58,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
epred2_0: $o ).
tff(decl_60,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_61,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk24_0: $i ).
tff(decl_85,type,
esk25_0: $i ).
tff(decl_86,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
fof(quaternion_ds1_symm_0561,conjecture,
( ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( ~ ( n0 = X21
& n2 = X22 )
& ~ ( n0 = X21
& n3 = X22 )
& ~ ( n0 = X21
& n4 = X22 )
& ~ ( n0 = X21
& n5 = X22 )
& ~ ( n0 = X22
& n4 = X21 )
& ~ ( n0 = X22
& n5 = X21 )
& ~ ( n1 = X21
& n2 = X22 )
& ~ ( n1 = X21
& n3 = X22 )
& ~ ( n1 = X21
& n4 = X22 )
& ~ ( n1 = X21
& n5 = X22 )
& ~ ( n1 = X22
& n2 = X21 )
& ~ ( n1 = X22
& n3 = X21 )
& ~ ( n1 = X22
& n4 = X21 )
& ~ ( n1 = X22
& n5 = X21 )
& ~ ( n2 = X21
& n2 = X22 )
& ~ ( n2 = X21
& n3 = X22 )
& ~ ( n2 = X21
& n4 = X22 )
& ~ ( n2 = X21
& n5 = X22 )
& ~ ( n2 = X22
& n3 = X21 )
& ~ ( n2 = X22
& n4 = X21 )
& ~ ( n2 = X22
& n5 = X21 )
& ~ ( n3 = X21
& n3 = X22 )
& ~ ( n3 = X21
& n4 = X22 )
& ~ ( n3 = X21
& n5 = X22 )
& ~ ( n3 = X22
& n4 = X21 )
& ~ ( n3 = X22
& n5 = X21 )
& ~ ( n4 = X21
& n4 = X22 )
& ~ ( n4 = X21
& n5 = X22 )
& ~ ( n4 = X22
& n5 = X21 )
& ~ ( n5 = X21
& n5 = X22 )
& n1 = X21
& n1 = X22
& n2 = X22
& n3 = X21 )
=> n0 = a_select2(xinit_noise,n1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0561) ).
fof(c_0_1,plain,
! [X22,X21] :
( epred3_2(X21,X22)
<=> ( ~ ( n0 = X21
& n2 = X22 )
& ~ ( n0 = X21
& n3 = X22 )
& ~ ( n0 = X21
& n4 = X22 )
& ~ ( n0 = X21
& n5 = X22 )
& ~ ( n0 = X22
& n4 = X21 )
& ~ ( n0 = X22
& n5 = X21 )
& ~ ( n1 = X21
& n2 = X22 )
& ~ ( n1 = X21
& n3 = X22 )
& ~ ( n1 = X21
& n4 = X22 )
& ~ ( n1 = X21
& n5 = X22 )
& ~ ( n1 = X22
& n2 = X21 )
& ~ ( n1 = X22
& n3 = X21 )
& ~ ( n1 = X22
& n4 = X21 )
& ~ ( n1 = X22
& n5 = X21 )
& ~ ( n2 = X21
& n2 = X22 )
& ~ ( n2 = X21
& n3 = X22 )
& ~ ( n2 = X21
& n4 = X22 )
& ~ ( n2 = X21
& n5 = X22 )
& ~ ( n2 = X22
& n3 = X21 )
& ~ ( n2 = X22
& n4 = X21 )
& ~ ( n2 = X22
& n5 = X21 )
& ~ ( n3 = X21
& n3 = X22 )
& ~ ( n3 = X21
& n4 = X22 )
& ~ ( n3 = X21
& n5 = X22 )
& ~ ( n3 = X22
& n4 = X21 )
& ~ ( n3 = X22
& n5 = X21 )
& ~ ( n4 = X21
& n4 = X22 )
& ~ ( n4 = X21
& n5 = X22 )
& ~ ( n4 = X22
& n5 = X21 )
& ~ ( n5 = X21
& n5 = X22 )
& n1 = X21
& n1 = X22
& n2 = X22
& n3 = X21 ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred2_0
<=> ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X22,X21] :
( epred3_2(X21,X22)
=> ( ~ ( n0 = X21
& n2 = X22 )
& ~ ( n0 = X21
& n3 = X22 )
& ~ ( n0 = X21
& n4 = X22 )
& ~ ( n0 = X21
& n5 = X22 )
& ~ ( n0 = X22
& n4 = X21 )
& ~ ( n0 = X22
& n5 = X21 )
& ~ ( n1 = X21
& n2 = X22 )
& ~ ( n1 = X21
& n3 = X22 )
& ~ ( n1 = X21
& n4 = X22 )
& ~ ( n1 = X21
& n5 = X22 )
& ~ ( n1 = X22
& n2 = X21 )
& ~ ( n1 = X22
& n3 = X21 )
& ~ ( n1 = X22
& n4 = X21 )
& ~ ( n1 = X22
& n5 = X21 )
& ~ ( n2 = X21
& n2 = X22 )
& ~ ( n2 = X21
& n3 = X22 )
& ~ ( n2 = X21
& n4 = X22 )
& ~ ( n2 = X21
& n5 = X22 )
& ~ ( n2 = X22
& n3 = X21 )
& ~ ( n2 = X22
& n4 = X21 )
& ~ ( n2 = X22
& n5 = X21 )
& ~ ( n3 = X21
& n3 = X22 )
& ~ ( n3 = X21
& n4 = X22 )
& ~ ( n3 = X21
& n5 = X22 )
& ~ ( n3 = X22
& n4 = X21 )
& ~ ( n3 = X22
& n5 = X21 )
& ~ ( n4 = X21
& n4 = X22 )
& ~ ( n4 = X21
& n5 = X22 )
& ~ ( n4 = X22
& n5 = X21 )
& ~ ( n5 = X21
& n5 = X22 )
& n1 = X21
& n1 = X22
& n2 = X22
& n3 = X21 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
~ ( epred2_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( epred3_2(X21,X22)
=> n0 = a_select2(xinit_noise,n1) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0561]),c_0_2]),c_0_1]) ).
fof(c_0_5,plain,
! [X206,X207] :
( ( n0 != X207
| n2 != X206
| ~ epred3_2(X207,X206) )
& ( n0 != X207
| n3 != X206
| ~ epred3_2(X207,X206) )
& ( n0 != X207
| n4 != X206
| ~ epred3_2(X207,X206) )
& ( n0 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n0 != X206
| n4 != X207
| ~ epred3_2(X207,X206) )
& ( n0 != X206
| n5 != X207
| ~ epred3_2(X207,X206) )
& ( n1 != X207
| n2 != X206
| ~ epred3_2(X207,X206) )
& ( n1 != X207
| n3 != X206
| ~ epred3_2(X207,X206) )
& ( n1 != X207
| n4 != X206
| ~ epred3_2(X207,X206) )
& ( n1 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n1 != X206
| n2 != X207
| ~ epred3_2(X207,X206) )
& ( n1 != X206
| n3 != X207
| ~ epred3_2(X207,X206) )
& ( n1 != X206
| n4 != X207
| ~ epred3_2(X207,X206) )
& ( n1 != X206
| n5 != X207
| ~ epred3_2(X207,X206) )
& ( n2 != X207
| n2 != X206
| ~ epred3_2(X207,X206) )
& ( n2 != X207
| n3 != X206
| ~ epred3_2(X207,X206) )
& ( n2 != X207
| n4 != X206
| ~ epred3_2(X207,X206) )
& ( n2 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n2 != X206
| n3 != X207
| ~ epred3_2(X207,X206) )
& ( n2 != X206
| n4 != X207
| ~ epred3_2(X207,X206) )
& ( n2 != X206
| n5 != X207
| ~ epred3_2(X207,X206) )
& ( n3 != X207
| n3 != X206
| ~ epred3_2(X207,X206) )
& ( n3 != X207
| n4 != X206
| ~ epred3_2(X207,X206) )
& ( n3 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n3 != X206
| n4 != X207
| ~ epred3_2(X207,X206) )
& ( n3 != X206
| n5 != X207
| ~ epred3_2(X207,X206) )
& ( n4 != X207
| n4 != X206
| ~ epred3_2(X207,X206) )
& ( n4 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n4 != X206
| n5 != X207
| ~ epred3_2(X207,X206) )
& ( n5 != X207
| n5 != X206
| ~ epred3_2(X207,X206) )
& ( n1 = X207
| ~ epred3_2(X207,X206) )
& ( n1 = X206
| ~ epred3_2(X207,X206) )
& ( n2 = X206
| ~ epred3_2(X207,X206) )
& ( n3 = X207
| ~ epred3_2(X207,X206) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,negated_conjecture,
( epred2_0
& leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n5)
& leq(esk25_0,n5)
& epred3_2(esk24_0,esk25_0)
& n0 != a_select2(xinit_noise,n1) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( n1 != X1
| n2 != X2
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( n2 = X1
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( n1 = X1
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
epred3_2(esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ epred3_2(X1,X2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 05:52:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.63 % Total time : 0.021000 s
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time : 0.026000 s
%------------------------------------------------------------------------------