TSTP Solution File: SWV039+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %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 : Thu Aug 31 21:36:16 EDT 2023
% Result : Theorem 86.00s 86.28s
% Output : CNFRefutation 86.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 106
% Syntax : Number of formulae : 371 ( 65 unt; 83 typ; 0 def)
% Number of atoms : 2000 ( 619 equ)
% Maximal formula atoms : 585 ( 6 avg)
% Number of connectives : 2837 (1125 ~;1489 |; 178 &)
% ( 3 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-4 aty)
% Number of functors : 75 ( 75 usr; 30 con; 0-7 aty)
% Number of variables : 147 ( 0 sgn; 83 !; 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,
s_best7_init: $i ).
tff(decl_56,type,
init: $i ).
tff(decl_57,type,
s_sworst7_init: $i ).
tff(decl_58,type,
s_worst7_init: $i ).
tff(decl_59,type,
s_best7: $i ).
tff(decl_60,type,
s_sworst7: $i ).
tff(decl_61,type,
s_worst7: $i ).
tff(decl_62,type,
simplex7_init: $i ).
tff(decl_63,type,
s_values7_init: $i ).
tff(decl_64,type,
s_center7_init: $i ).
tff(decl_65,type,
loopcounter: $i ).
tff(decl_66,type,
pvar1400_init: $i ).
tff(decl_67,type,
pvar1401_init: $i ).
tff(decl_68,type,
pvar1402_init: $i ).
tff(decl_69,type,
s_try7_init: $i ).
tff(decl_70,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_71,type,
epred2_0: $o ).
tff(decl_72,type,
epred3_0: $o ).
tff(decl_73,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk24_0: $i ).
tff(decl_97,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk29_0: $i ).
tff(decl_102,type,
esk30_0: $i ).
tff(decl_103,type,
esk31_0: $i ).
tff(decl_104,type,
esk32_0: $i ).
fof(gauss_init_0069,conjecture,
( ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n0,n1)) )
=> a_select2(s_try7_init,X5) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0069) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(totality,axiom,
! [X1,X2] :
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(finite_domain_0,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c_0_21,plain,
( epred2_0
<=> ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
introduced(definition) ).
fof(c_0_22,plain,
( epred3_0
<=> ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( epred2_0
=> ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
fof(c_0_24,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n0,n1)) )
=> a_select2(s_try7_init,X5) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_init_0069]),c_0_21]),c_0_22]) ).
fof(c_0_25,plain,
( ( s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X203,X204,X205,X206] :
( ( s_best7_init = init
| ~ epred2_0 )
& ( s_sworst7_init = init
| ~ epred2_0 )
& ( s_worst7_init = init
| ~ epred2_0 )
& ( leq(n0,s_best7)
| ~ epred2_0 )
& ( leq(n0,s_sworst7)
| ~ epred2_0 )
& ( leq(n0,s_worst7)
| ~ epred2_0 )
& ( leq(s_best7,n3)
| ~ epred2_0 )
& ( leq(s_sworst7,n3)
| ~ epred2_0 )
& ( leq(s_worst7,n3)
| ~ epred2_0 )
& ( ~ leq(n0,X203)
| ~ leq(X203,n2)
| ~ leq(n0,X204)
| ~ leq(X204,n3)
| a_select3(simplex7_init,X204,X203) = init
| ~ epred2_0 )
& ( ~ leq(n0,X205)
| ~ leq(X205,n3)
| a_select2(s_values7_init,X205) = init
| ~ epred2_0 )
& ( ~ leq(n0,X206)
| ~ leq(X206,n2)
| a_select2(s_center7_init,X206) = init
| ~ epred2_0 )
& ( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_27,negated_conjecture,
( epred2_0
& ( gt(loopcounter,n1)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( gt(loopcounter,n1)
| leq(esk24_0,minus(n0,n1))
| ~ epred3_0 )
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| leq(esk24_0,minus(n0,n1))
| ~ epred3_0 )
& ( gt(loopcounter,n1)
| a_select2(s_try7_init,esk24_0) != init
| ~ epred3_0 )
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| a_select2(s_try7_init,esk24_0) != init
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_28,plain,
( ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(esk29_0,n2)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(esk30_0,n3)
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( leq(esk32_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_29,plain,
( s_best7_init = init
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( s_sworst7_init = init
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( s_worst7_init = init
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
s_best7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,plain,
s_sworst7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30])]) ).
cnf(c_0_36,plain,
s_worst7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_30])]) ).
cnf(c_0_37,plain,
( leq(n0,s_best7)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( leq(n0,s_sworst7)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( leq(n0,s_worst7)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( leq(s_best7,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,plain,
( leq(s_sworst7,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,plain,
( leq(s_worst7,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,plain,
( epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_44,plain,
leq(n0,s_best7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_30])]) ).
cnf(c_0_45,plain,
leq(n0,s_sworst7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_30])]) ).
cnf(c_0_46,plain,
leq(n0,s_worst7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_30])]) ).
cnf(c_0_47,plain,
leq(s_best7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_30])]) ).
cnf(c_0_48,plain,
leq(s_sworst7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_30])]) ).
cnf(c_0_49,plain,
leq(s_worst7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_30])]) ).
cnf(c_0_50,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,plain,
( leq(n0,esk32_0)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,plain,
( leq(esk32_0,n2)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_53,plain,
( leq(n0,esk31_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_55,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0)
| epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_56,plain,
( leq(esk31_0,n3)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_57,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n3)
| epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_58,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n3)
| epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_59,plain,
( epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_60,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_30])]) ).
cnf(c_0_61,plain,
( epred3_0
| leq(n0,esk32_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_62,plain,
( epred3_0
| leq(esk32_0,n2)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_63,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_64,plain,
( epred3_0
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_65,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_66,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_67,plain,
( epred3_0
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_68,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(n0,esk32_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_69,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_70,plain,
( leq(esk30_0,n3)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_71,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_72,plain,
( leq(esk31_0,n3)
| leq(esk30_0,n3)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_73,plain,
( leq(n0,esk32_0)
| leq(esk30_0,n3)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_74,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_75,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_76,plain,
( leq(esk32_0,n2)
| leq(esk30_0,n3)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_77,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_78,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_79,plain,
( leq(esk29_0,n2)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_80,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n2)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_81,plain,
( leq(esk31_0,n3)
| leq(esk29_0,n2)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_82,plain,
( leq(n0,esk32_0)
| leq(esk29_0,n2)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_83,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_84,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_85,plain,
( leq(esk32_0,n2)
| leq(esk29_0,n2)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_86,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_87,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_88,plain,
( epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_89,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_30])]) ).
cnf(c_0_90,plain,
( epred3_0
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_65]),c_0_66]) ).
cnf(c_0_91,plain,
( epred3_0
| leq(esk31_0,n3)
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_60]),c_0_68]),c_0_69]) ).
cnf(c_0_92,plain,
( a_select3(simplex7_init,X2,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_93,plain,
( epred3_0
| leq(esk30_0,n3)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_94,plain,
( epred3_0
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_95,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_96,plain,
( epred3_0
| leq(esk30_0,n3)
| leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_97,plain,
( epred3_0
| leq(esk30_0,n3)
| leq(n0,esk32_0)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_98,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(esk30_0,n3)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_99,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk30_0,n3)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_100,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_101,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk30_0,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_102,plain,
( epred3_0
| leq(esk29_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_103,plain,
( epred3_0
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_104,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_105,plain,
( epred3_0
| leq(esk29_0,n2)
| leq(n0,esk32_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_106,plain,
( epred3_0
| leq(esk29_0,n2)
| leq(n0,esk32_0)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_107,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(esk29_0,n2)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_108,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk29_0,n2)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_109,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk29_0,n2)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_110,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(esk29_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_111,plain,
( leq(n0,esk32_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_112,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_113,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_114,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_115,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_116,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_117,plain,
( epred3_0
| a_select3(simplex7_init,esk30_0,esk29_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).
cnf(c_0_118,plain,
( a_select3(simplex7_init,X1,X2) = init
| ~ leq(X1,n3)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_30])]) ).
cnf(c_0_119,plain,
( epred3_0
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk32_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_89]),c_0_94]),c_0_95]) ).
cnf(c_0_120,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_89]),c_0_97]),c_0_98]) ).
cnf(c_0_121,plain,
( epred3_0
| leq(esk30_0,n3)
| leq(esk32_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_89]),c_0_100]),c_0_101]) ).
cnf(c_0_122,plain,
( epred3_0
| leq(esk29_0,n2)
| a_select2(s_center7_init,esk32_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_89]),c_0_103]),c_0_104]) ).
cnf(c_0_123,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk29_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_89]),c_0_106]),c_0_107]) ).
cnf(c_0_124,plain,
( epred3_0
| leq(esk29_0,n2)
| leq(esk32_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_89]),c_0_109]),c_0_110]) ).
cnf(c_0_125,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_126,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_127,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_128,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(n0,esk32_0)
| leq(n0,esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_129,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_130,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_131,plain,
( epred3_0
| leq(n0,esk31_0)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_132,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk31_0)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_133,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_134,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_135,plain,
( leq(n0,esk30_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_136,plain,
( epred3_0
| ~ leq(esk30_0,n3)
| ~ leq(esk29_0,n2)
| ~ leq(n0,esk30_0)
| ~ leq(n0,esk29_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_137,plain,
( epred3_0
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_60]),c_0_120]),c_0_121]) ).
cnf(c_0_138,plain,
( epred3_0
| leq(esk29_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_60]),c_0_123]),c_0_124]) ).
cnf(c_0_139,plain,
( epred3_0
| leq(n0,esk31_0)
| leq(n0,esk29_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_140,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk32_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_89]),c_0_127]),c_0_128]) ).
cnf(c_0_141,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_142,plain,
( leq(esk31_0,n3)
| leq(n0,esk30_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_143,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_144,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_60]),c_0_132]),c_0_133]) ).
cnf(c_0_145,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(n0,esk32_0)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_146,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_147,plain,
( epred3_0
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_148,plain,
( epred3_0
| ~ leq(n0,esk30_0)
| ~ leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_149,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_60]),c_0_140]),c_0_141]) ).
cnf(c_0_150,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_151,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(n0,esk32_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_89]),c_0_144]),c_0_145]) ).
cnf(c_0_152,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_153,plain,
( leq(esk32_0,n2)
| leq(n0,esk30_0)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_154,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_155,plain,
! [X152,X153] :
( ~ leq(succ(X152),X153)
| gt(X153,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(c_0_156,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_157,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_158,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_159,plain,
( epred3_0
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_48])]),c_0_49])]) ).
cnf(c_0_160,plain,
( epred3_0
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_144]),c_0_149]) ).
cnf(c_0_161,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(esk31_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_60]),c_0_151]),c_0_152]) ).
cnf(c_0_162,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
fof(c_0_163,plain,
! [X35] : ~ gt(X35,X35),
inference(variable_rename,[status(thm)],[c_0_154]) ).
cnf(c_0_164,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_165,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
fof(c_0_166,plain,
! [X51,X52] :
( ~ leq(X51,X52)
| leq(X51,succ(X52)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
cnf(c_0_167,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_168,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
fof(c_0_169,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(c_0_170,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_171,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_172,plain,
( leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_173,plain,
( leq(esk31_0,n3)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk32_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_174,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| epred3_0
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_89]),c_0_160]),c_0_161]) ).
cnf(c_0_176,plain,
( epred3_0
| leq(n0,esk32_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_151]),c_0_140]) ).
cnf(c_0_177,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(esk32_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_89]),c_0_144]),c_0_161]) ).
cnf(c_0_178,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_179,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_180,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_181,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_165]),c_0_165]) ).
cnf(c_0_182,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_168,c_0_165]) ).
fof(c_0_183,plain,
! [X48,X49] :
( ( ~ leq(X48,pred(X49))
| gt(X49,X48) )
& ( ~ gt(X49,X48)
| leq(X48,pred(X49)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
cnf(c_0_184,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_185,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_186,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_187,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_188,plain,
( epred3_0
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_34]),c_0_35]),c_0_36]),c_0_44])]) ).
cnf(c_0_189,plain,
( epred3_0
| leq(esk31_0,n3)
| leq(n0,esk29_0)
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_190,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_191,plain,
( epred3_0
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_60]),c_0_176]),c_0_177]) ).
cnf(c_0_192,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_193,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_180,c_0_165]) ).
cnf(c_0_194,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_195,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_196,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_165]),c_0_165]) ).
fof(c_0_197,plain,
! [X44,X45] :
( ~ gt(X45,X44)
| leq(X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
fof(c_0_198,plain,
! [X30,X31] :
( gt(X30,X31)
| gt(X31,X30)
| X30 = X31 ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_199,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_165]),c_0_186]) ).
cnf(c_0_200,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_187,c_0_165]) ).
cnf(c_0_201,plain,
( epred3_0
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_45])]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_202,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(esk31_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_60]),c_0_140]),c_0_190]) ).
cnf(c_0_203,plain,
( epred3_0
| ~ leq(n0,esk29_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_191]) ).
cnf(c_0_204,plain,
( leq(esk32_0,n2)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk31_0) != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_205,plain,
~ leq(plus(X1,n2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_182]),c_0_194]) ).
cnf(c_0_206,plain,
( leq(X2,minus(X1,n1))
| ~ gt(X1,X2) ),
inference(rw,[status(thm)],[c_0_195,c_0_186]) ).
cnf(c_0_207,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_182]),c_0_194]) ).
cnf(c_0_208,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_209,plain,
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_210,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_199,c_0_182]) ).
cnf(c_0_211,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_200,c_0_182]) ).
cnf(c_0_212,plain,
( epred3_0
| a_select2(s_center7_init,esk32_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_89]),c_0_160]),c_0_202]),c_0_203]) ).
cnf(c_0_213,plain,
( epred3_0
| leq(esk32_0,n2)
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_214,plain,
( gt(X2,X1)
| ~ leq(X1,pred(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
fof(c_0_215,plain,
! [X37,X38,X39] :
( ~ leq(X37,X38)
| ~ leq(X38,X39)
| leq(X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_216,plain,
~ gt(X1,plus(n2,minus(X1,n1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
cnf(c_0_217,plain,
( X1 = X2
| leq(X1,X2)
| gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_218,negated_conjecture,
( gt(loopcounter,n1)
| leq(esk24_0,minus(n0,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_219,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_220,plain,
( epred3_0
| ~ leq(esk32_0,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_60]),c_0_176]) ).
cnf(c_0_221,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(esk32_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_89]),c_0_149]),c_0_202]) ).
cnf(c_0_222,plain,
( gt(X2,X1)
| ~ leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[c_0_214,c_0_186]) ).
cnf(c_0_223,negated_conjecture,
( leq(esk24_0,minus(n0,n1))
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_224,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_225,plain,
( plus(n2,minus(X1,n1)) = X1
| leq(X1,plus(n2,minus(X1,n1))) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_226,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_227,negated_conjecture,
( leq(esk24_0,tptp_minus_1)
| gt(loopcounter,n1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_228,plain,
epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_203]) ).
cnf(c_0_229,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_230,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_231,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_232,plain,
! [X191] :
( ~ leq(n0,X191)
| ~ leq(X191,n0)
| X191 = n0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).
cnf(c_0_233,negated_conjecture,
( gt(n0,esk24_0)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_234,plain,
( plus(n2,minus(X1,n1)) = X1
| leq(X2,plus(n2,minus(X1,n1)))
| ~ leq(X2,X1) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_235,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_30])]) ).
cnf(c_0_236,negated_conjecture,
( leq(esk24_0,tptp_minus_1)
| gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]) ).
cnf(c_0_237,plain,
plus(n1,plus(n1,X1)) = plus(X1,n2),
inference(spm,[status(thm)],[c_0_194,c_0_182]) ).
cnf(c_0_238,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_229,c_0_165]) ).
cnf(c_0_239,negated_conjecture,
( gt(loopcounter,n1)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_240,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_30])]) ).
cnf(c_0_241,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_30])]) ).
fof(c_0_242,plain,
! [X32,X33,X34] :
( ~ gt(X32,X33)
| ~ gt(X33,X34)
| gt(X32,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).
cnf(c_0_243,plain,
( X1 = n0
| ~ leq(n0,X1)
| ~ leq(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_244,negated_conjecture,
( leq(esk24_0,n0)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_233]) ).
cnf(c_0_245,negated_conjecture,
( leq(n0,esk24_0)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_246,plain,
! [X192] :
( ~ leq(n0,X192)
| ~ leq(X192,n1)
| X192 = n0
| X192 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
cnf(c_0_247,plain,
( plus(n2,X1) = plus(X1,n1)
| leq(X2,plus(n2,X1))
| ~ leq(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_193]),c_0_199]),c_0_199]) ).
cnf(c_0_248,plain,
( pvar1402_init = init
| leq(esk24_0,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_249,plain,
plus(n2,tptp_minus_1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_211]),c_0_182]),c_0_238]),c_0_207]) ).
cnf(c_0_250,negated_conjecture,
( leq(n0,esk24_0)
| gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_228])]) ).
cnf(c_0_251,plain,
( pvar1401_init = init
| leq(esk24_0,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_240,c_0_236]) ).
cnf(c_0_252,plain,
( pvar1400_init = init
| leq(esk24_0,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_241,c_0_236]) ).
cnf(c_0_253,plain,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_254,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]) ).
cnf(c_0_255,negated_conjecture,
( esk24_0 = n0
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_256,plain,
( X1 = n0
| X1 = n1
| ~ leq(n0,X1)
| ~ leq(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_257,plain,
( pvar1402_init = init
| n1 = n0
| leq(esk24_0,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).
cnf(c_0_258,plain,
( pvar1402_init = init
| leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_235,c_0_250]) ).
cnf(c_0_259,plain,
( pvar1401_init = init
| n1 = n0
| leq(esk24_0,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_251]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).
cnf(c_0_260,plain,
( pvar1401_init = init
| leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_240,c_0_250]) ).
cnf(c_0_261,plain,
( pvar1400_init = init
| n1 = n0
| leq(esk24_0,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_252]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).
cnf(c_0_262,plain,
( pvar1400_init = init
| leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_241,c_0_250]) ).
cnf(c_0_263,plain,
( gt(X1,tptp_minus_1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_264,negated_conjecture,
( esk24_0 = n0
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_228])]) ).
cnf(c_0_265,plain,
( n1 = n0
| pvar1402_init = init
| esk24_0 = n0
| esk24_0 = n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_266,plain,
( n1 = n0
| pvar1401_init = init
| esk24_0 = n0
| esk24_0 = n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_259]),c_0_260]) ).
cnf(c_0_267,plain,
( n1 = n0
| pvar1400_init = init
| esk24_0 = n0
| esk24_0 = n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_261]),c_0_262]) ).
cnf(c_0_268,plain,
~ gt(tptp_minus_1,n0),
inference(spm,[status(thm)],[c_0_178,c_0_263]) ).
cnf(c_0_269,negated_conjecture,
( esk24_0 = n1
| n1 = n0
| esk24_0 = n0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]) ).
cnf(c_0_270,plain,
~ leq(n1,tptp_minus_1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_179]),c_0_238]) ).
cnf(c_0_271,plain,
( esk24_0 = n0
| n1 = n0
| pvar1402_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_269]),c_0_270]) ).
cnf(c_0_272,plain,
( esk24_0 = n0
| n1 = n0
| pvar1401_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_269]),c_0_270]) ).
cnf(c_0_273,plain,
( esk24_0 = n0
| n1 = n0
| pvar1400_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_269]),c_0_270]) ).
cnf(c_0_274,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_192,c_0_182]) ).
cnf(c_0_275,negated_conjecture,
( leq(esk24_0,tptp_minus_1)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_223,c_0_219]) ).
cnf(c_0_276,negated_conjecture,
( n1 = n0
| esk24_0 = n0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_271]),c_0_272]),c_0_273]) ).
cnf(c_0_277,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_274,c_0_211]) ).
cnf(c_0_278,negated_conjecture,
( leq(esk24_0,tptp_minus_1)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_228])]) ).
cnf(c_0_279,plain,
( n1 = n0
| pvar1400_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_276]),c_0_277]) ).
cnf(c_0_280,negated_conjecture,
( n1 = n0
| pvar1401_init != init
| pvar1402_init != init ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_276]),c_0_277]),c_0_279]) ).
cnf(c_0_281,plain,
( n1 = n0
| pvar1402_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_276]),c_0_277]) ).
cnf(c_0_282,plain,
( n1 = n0
| pvar1401_init = init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_276]),c_0_277]) ).
fof(c_0_283,plain,
! [X36] : leq(X36,X36),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_284,plain,
~ leq(n1,n0),
inference(spm,[status(thm)],[c_0_192,c_0_238]) ).
cnf(c_0_285,negated_conjecture,
n1 = n0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).
cnf(c_0_286,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_287,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285]),c_0_286])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:21:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.65 start to proof: theBenchmark
% 86.00/86.28 % Version : CSE_E---1.5
% 86.00/86.28 % Problem : theBenchmark.p
% 86.00/86.28 % Proof found
% 86.00/86.28 % SZS status Theorem for theBenchmark.p
% 86.00/86.28 % SZS output start Proof
% See solution above
% 86.24/86.31 % Total time : 85.557000 s
% 86.24/86.31 % SZS output end Proof
% 86.24/86.31 % Total time : 85.567000 s
%------------------------------------------------------------------------------