TSTP Solution File: SWV168+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV168+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 : n018.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 21:36:51 EDT 2023
% Result : Theorem 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 77
% Syntax : Number of formulae : 94 ( 7 unt; 75 typ; 0 def)
% Number of atoms : 182 ( 42 equ)
% Maximal formula atoms : 47 ( 9 avg)
% Number of connectives : 213 ( 50 ~; 47 |; 76 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 68 ( 68 usr; 23 con; 0-7 aty)
% Number of variables : 40 ( 0 sgn; 36 !; 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,
mu_init: $i ).
tff(decl_56,type,
pv40: $i ).
tff(decl_57,type,
init: $i ).
tff(decl_58,type,
pv46: $i ).
tff(decl_59,type,
n135299: $i ).
tff(decl_60,type,
q_init: $i ).
tff(decl_61,type,
rho_init: $i ).
tff(decl_62,type,
sigma_init: $i ).
tff(decl_63,type,
center_init: $i ).
tff(decl_64,type,
loopcounter: $i ).
tff(decl_65,type,
muold_init: $i ).
tff(decl_66,type,
rhoold_init: $i ).
tff(decl_67,type,
sigmaold_init: $i ).
tff(decl_68,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
epred2_0: $o ).
tff(decl_70,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(cl5_nebula_init_0016,conjecture,
( ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) )
=> a_select3(q_init,pv46,pv40) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).
fof(c_0_1,plain,
( epred2_0
<=> ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred2_0
=> ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ( epred2_0
=> a_select3(q_init,pv46,pv40) = init ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0016]),c_0_1]) ).
fof(c_0_4,plain,
! [X202,X203,X204,X205,X206,X207,X208,X209,X210] :
( ( a_select2(mu_init,pv40) = init
| ~ epred2_0 )
& ( leq(n0,pv40)
| ~ epred2_0 )
& ( leq(n0,pv46)
| ~ epred2_0 )
& ( leq(pv40,n4)
| ~ epred2_0 )
& ( leq(pv46,n135299)
| ~ epred2_0 )
& ( ~ leq(n0,X202)
| ~ leq(X202,n135299)
| ~ leq(n0,X203)
| ~ leq(X203,n4)
| a_select3(q_init,X202,X203) = init
| ~ epred2_0 )
& ( ~ leq(n0,X204)
| ~ leq(X204,n4)
| a_select2(rho_init,X204) = init
| ~ epred2_0 )
& ( ~ leq(n0,X205)
| ~ leq(X205,pred(pv40))
| a_select2(mu_init,X205) = init
| ~ epred2_0 )
& ( ~ leq(n0,X206)
| ~ leq(X206,pred(pv40))
| a_select2(sigma_init,X206) = init
| ~ epred2_0 )
& ( ~ leq(n0,X207)
| ~ leq(X207,n4)
| a_select3(center_init,X207,n0) = init
| ~ epred2_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X208)
| ~ leq(X208,n4)
| a_select2(muold_init,X208) = init
| ~ epred2_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X209)
| ~ leq(X209,n4)
| a_select2(rhoold_init,X209) = init
| ~ epred2_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X210)
| ~ leq(X210,n4)
| a_select2(sigmaold_init,X210) = init
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_5,negated_conjecture,
( epred2_0
& a_select3(q_init,pv46,pv40) != init ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( a_select3(q_init,X1,X2) = init
| ~ leq(n0,X1)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(X2,n4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( leq(pv40,n4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( leq(pv46,n135299)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( leq(n0,pv40)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( leq(n0,pv46)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
a_select3(q_init,pv46,pv40) != init,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( a_select3(q_init,X1,X2) = init
| ~ leq(X2,n4)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_14,plain,
leq(pv40,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
cnf(c_0_15,plain,
leq(pv46,n135299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7])]) ).
cnf(c_0_16,plain,
leq(n0,pv40),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]) ).
cnf(c_0_17,plain,
leq(n0,pv46),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7])]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 03:25:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.64 % Version : CSE_E---1.5
% 0.21/0.64 % Problem : theBenchmark.p
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark.p
% 0.21/0.64 % SZS output start Proof
% See solution above
% 0.21/0.64 % Total time : 0.056000 s
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time : 0.061000 s
%------------------------------------------------------------------------------