TSTP Solution File: SWV112+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV112+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 : n011.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 21:36:37 EDT 2023
% Result : Theorem 91.01s 91.06s
% Output : CNFRefutation 91.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 96
% Syntax : Number of formulae : 312 ( 66 unt; 79 typ; 0 def)
% Number of atoms : 1011 ( 163 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1146 ( 368 ~; 578 |; 164 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 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 : 71 ( 71 usr; 26 con; 0-7 aty)
% Number of variables : 119 ( 0 sgn; 76 !; 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,
pv5: $i ).
tff(decl_56,type,
pv57: $i ).
tff(decl_57,type,
n999: $i ).
tff(decl_58,type,
n6: $i ).
tff(decl_59,type,
q_ds1_filter: $i ).
tff(decl_60,type,
r_ds1_filter: $i ).
tff(decl_61,type,
pminus_ds1_filter: $i ).
tff(decl_62,type,
id_ds1_filter: $i ).
tff(decl_63,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_64,type,
epred2_0: $o ).
tff(decl_65,type,
epred3_0: $o ).
tff(decl_66,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk24_0: $i ).
tff(decl_90,type,
esk25_0: $i ).
tff(decl_91,type,
esk26_0: $i ).
tff(decl_92,type,
esk27_0: $i ).
tff(decl_93,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk31_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk32_0: $i ).
tff(decl_98,type,
esk33_0: $i ).
tff(decl_99,type,
esk34_0: $i ).
tff(decl_100,type,
esk35_0: $i ).
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(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
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(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_symm_0005,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32] :
( ( leq(n0,X32)
& leq(X32,minus(plus(n1,pv57),n1)) )
=> ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0005) ).
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(c_0_15,plain,
! [X141] : plus(X141,n1) = succ(X141),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_16,plain,
! [X143] : plus(X143,n2) = succ(succ(X143)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_17,plain,
! [X142] : plus(n1,X142) = succ(X142),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_18,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_19,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_21,plain,
! [X145] : plus(X145,n3) = succ(succ(succ(X145))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_22,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_25,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]) ).
cnf(c_0_26,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_27,plain,
! [X147] : plus(X147,n4) = succ(succ(succ(succ(X147)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_28,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_19]),c_0_19]) ).
cnf(c_0_30,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_31,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_32,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_33,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_34,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) ) ),
introduced(definition) ).
fof(c_0_36,plain,
! [X152] : pred(succ(X152)) = X152,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_37,plain,
! [X151] : minus(X151,n1) = pred(X151),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_38,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_39,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_41,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_42,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_43,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_44,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_26]),c_0_33]),c_0_30]) ).
fof(c_0_45,plain,
( epred2_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
fof(c_0_46,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32] :
( ( leq(n0,X32)
& leq(X32,minus(plus(n1,pv57),n1)) )
=> ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0005]),c_0_34]),c_0_35]) ).
cnf(c_0_47,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
plus(plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),n1) = n6,
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_38,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_50,plain,
plus(X1,n4) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_51,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_30]),c_0_41]),c_0_30]) ).
cnf(c_0_52,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_53,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_26]),c_0_33]),c_0_30]),c_0_44]),c_0_30]) ).
fof(c_0_54,plain,
! [X211,X212,X213,X214,X215,X216,X217,X218,X219,X220] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(n0,pv57)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( leq(pv57,minus(n6,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X211)
| ~ leq(n0,X212)
| ~ leq(X211,minus(n6,n1))
| ~ leq(X212,minus(n6,n1))
| a_select3(q_ds1_filter,X211,X212) = a_select3(q_ds1_filter,X212,X211)
| ~ epred2_0 )
& ( ~ leq(n0,X213)
| ~ leq(n0,X214)
| ~ leq(X213,minus(n3,n1))
| ~ leq(X214,minus(n3,n1))
| a_select3(r_ds1_filter,X213,X214) = a_select3(r_ds1_filter,X214,X213)
| ~ epred2_0 )
& ( ~ leq(n0,X215)
| ~ leq(n0,X216)
| ~ leq(X215,minus(n6,n1))
| ~ leq(X216,minus(n6,n1))
| a_select3(pminus_ds1_filter,X215,X216) = a_select3(pminus_ds1_filter,X216,X215)
| ~ epred2_0 )
& ( ~ leq(n0,X217)
| ~ leq(n0,X218)
| ~ leq(X217,pv57)
| ~ leq(X218,minus(n6,n1))
| a_select3(id_ds1_filter,X217,X218) = a_select3(id_ds1_filter,X218,X217)
| ~ epred2_0 )
& ( ~ leq(n0,X219)
| ~ leq(X219,minus(pv57,n1))
| ~ leq(n0,X220)
| ~ leq(X220,minus(n6,n1))
| a_select3(id_ds1_filter,X219,X220) = a_select3(id_ds1_filter,X220,X219)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_55,negated_conjecture,
( epred2_0
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(plus(n1,pv57),n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
cnf(c_0_56,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_19]),c_0_48]) ).
cnf(c_0_57,plain,
plus(n1,plus(n1,plus(n1,n3))) = n6,
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_49,c_0_26]),c_0_33]),c_0_30]),c_0_44]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_58,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_30]),c_0_41]),c_0_30]),c_0_51]),c_0_30]) ).
cnf(c_0_59,plain,
plus(n1,n4) = n5,
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_26]),c_0_33]),c_0_30]),c_0_44]),c_0_30]),c_0_53]),c_0_30]) ).
cnf(c_0_60,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_63,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_64,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,pv57)
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_66,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_72,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,pv57)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_61])]) ).
cnf(c_0_73,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_74,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]) ).
cnf(c_0_75,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_77,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
( leq(n0,esk27_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_80,negated_conjecture,
( leq(n0,esk27_0)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81,negated_conjecture,
( leq(n0,esk27_0)
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_69,c_0_66]) ).
cnf(c_0_83,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_70,c_0_66]) ).
cnf(c_0_84,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_86,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_89,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| leq(esk26_0,pv57)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_71,c_0_62]) ).
cnf(c_0_90,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_91,plain,
! [X144] : plus(n2,X144) = succ(succ(X144)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_92,negated_conjecture,
( leq(n0,esk24_0)
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_93,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,pv57)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_72,c_0_66]) ).
cnf(c_0_94,negated_conjecture,
( leq(n0,esk26_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_95,negated_conjecture,
( leq(n0,esk27_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_74]),c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,pv57)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_84,c_0_62]) ).
cnf(c_0_97,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_85,c_0_66]) ).
cnf(c_0_98,negated_conjecture,
( leq(n0,esk25_0)
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_99,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,pv57)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_86,c_0_62]) ).
cnf(c_0_100,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_87,c_0_66]) ).
cnf(c_0_101,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_102,negated_conjecture,
( leq(esk25_0,n5)
| a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_88,c_0_66]) ).
cnf(c_0_103,negated_conjecture,
( leq(esk26_0,pv57)
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_89,c_0_66]) ).
cnf(c_0_104,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_66]),c_0_66]) ).
cnf(c_0_105,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv57),n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_106,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_107,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_108,negated_conjecture,
( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_109,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_110,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_93]),c_0_94]),c_0_95]),c_0_99]),c_0_100]) ).
cnf(c_0_111,negated_conjecture,
( leq(esk24_0,n5)
| a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_101,c_0_66]) ).
cnf(c_0_112,negated_conjecture,
( leq(esk25_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_93]),c_0_94]),c_0_95]),c_0_103]),c_0_104]) ).
cnf(c_0_113,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_114,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_115,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv57),n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_116,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| leq(esk26_0,pv57)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_105,c_0_62]) ).
fof(c_0_117,plain,
( ( leq(n0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])]) ).
cnf(c_0_118,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_119,plain,
( leq(pv5,minus(n999,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_120,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_19]),c_0_19]) ).
cnf(c_0_121,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_122,negated_conjecture,
( a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_74]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_123,negated_conjecture,
( leq(esk27_0,n5)
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_113,c_0_66]) ).
cnf(c_0_124,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_66]),c_0_66]) ).
cnf(c_0_125,negated_conjecture,
( leq(esk26_0,pv57)
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_115,c_0_62]) ).
cnf(c_0_126,negated_conjecture,
( leq(esk26_0,pv57)
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_116,c_0_66]) ).
cnf(c_0_127,plain,
( leq(esk35_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_61])]) ).
cnf(c_0_129,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_61])]) ).
cnf(c_0_130,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_30]),c_0_41]) ).
cnf(c_0_131,plain,
( leq(esk34_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_132,plain,
( leq(esk32_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_133,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_134,plain,
( leq(esk33_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_135,plain,
( epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_136,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_61])]) ).
cnf(c_0_137,plain,
( ~ epred3_0
| ~ leq(esk27_0,n5)
| ~ leq(esk26_0,pv57) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_138,negated_conjecture,
( leq(esk27_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_74]),c_0_109]),c_0_110]),c_0_124]),c_0_112]) ).
cnf(c_0_139,negated_conjecture,
( leq(esk26_0,pv57)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_74]),c_0_109]),c_0_110]),c_0_126]),c_0_112]) ).
cnf(c_0_140,plain,
( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_141,plain,
( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_142,plain,
( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_143,plain,
( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_144,plain,
( leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_145,plain,
( leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_146,plain,
( leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_147,plain,
( leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_148,plain,
( leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_149,plain,
( leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_150,plain,
( leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_151,plain,
( leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_152,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_153,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_130]),c_0_44]) ).
cnf(c_0_154,plain,
( leq(n0,esk35_0)
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_155,plain,
( leq(n0,esk34_0)
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_156,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_128]),c_0_129])]) ).
cnf(c_0_157,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_128]),c_0_129])]) ).
cnf(c_0_158,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_61])]) ).
cnf(c_0_159,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_128]),c_0_129])]) ).
cnf(c_0_160,plain,
( leq(n0,esk33_0)
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_161,plain,
( leq(n0,esk32_0)
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_162,plain,
( epred3_0
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_128])]),c_0_129])]) ).
cnf(c_0_163,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_66]),c_0_66]) ).
cnf(c_0_164,plain,
~ epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_165,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_128]),c_0_129])]) ).
cnf(c_0_166,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_128]),c_0_129])]) ).
cnf(c_0_167,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_128]),c_0_129])]) ).
cnf(c_0_168,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_128]),c_0_129])]) ).
cnf(c_0_169,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_128]),c_0_129])]) ).
cnf(c_0_170,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_128]),c_0_129])]) ).
cnf(c_0_171,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_128]),c_0_129])]) ).
cnf(c_0_172,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_128]),c_0_129])]) ).
cnf(c_0_173,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_128]),c_0_129])]) ).
cnf(c_0_174,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_128]),c_0_129])]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_128]),c_0_129])]) ).
cnf(c_0_176,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_128]),c_0_129])]) ).
cnf(c_0_177,plain,
( leq(n0,esk35_0)
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_178,plain,
( leq(n0,esk34_0)
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_179,plain,
( leq(n0,esk35_0)
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_180,plain,
( leq(n0,esk34_0)
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(esk35_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_182,plain,
( epred3_0
| leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_128]),c_0_129])]) ).
cnf(c_0_183,plain,
( epred3_0
| leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_128]),c_0_129])]) ).
cnf(c_0_184,plain,
( epred3_0
| leq(esk34_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_156,c_0_153]) ).
cnf(c_0_185,plain,
( epred3_0
| leq(esk32_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_157,c_0_66]) ).
cnf(c_0_186,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,n2)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_153]),c_0_153]) ).
cnf(c_0_187,plain,
( epred3_0
| leq(esk33_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_159,c_0_66]) ).
cnf(c_0_188,plain,
( epred3_0
| leq(n0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_128]),c_0_129])]) ).
cnf(c_0_189,plain,
( epred3_0
| leq(n0,esk32_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_128]),c_0_129])]) ).
cnf(c_0_190,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| ~ leq(esk33_0,n5)
| ~ leq(esk32_0,n5)
| ~ leq(n0,esk33_0)
| ~ leq(n0,esk32_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_191,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_165,c_0_66]) ).
cnf(c_0_192,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_166,c_0_66]) ).
cnf(c_0_193,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_167,c_0_66]) ).
cnf(c_0_194,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_168,c_0_66]) ).
cnf(c_0_195,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_169,c_0_153]) ).
cnf(c_0_196,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_170,c_0_153]) ).
cnf(c_0_197,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_171,c_0_153]) ).
cnf(c_0_198,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_172,c_0_153]) ).
cnf(c_0_199,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_153]),c_0_66]) ).
cnf(c_0_200,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_153]),c_0_66]) ).
cnf(c_0_201,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_153]),c_0_66]) ).
cnf(c_0_202,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_153]),c_0_66]) ).
cnf(c_0_203,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_128]),c_0_129])]) ).
cnf(c_0_204,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_128]),c_0_129])]) ).
cnf(c_0_205,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_128]),c_0_129])]) ).
cnf(c_0_206,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_128]),c_0_129])]) ).
cnf(c_0_207,plain,
( epred3_0
| leq(esk35_0,n2)
| ~ leq(esk32_0,n5)
| ~ leq(esk33_0,n5)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_163]) ).
cnf(c_0_208,plain,
( epred3_0
| leq(n0,esk35_0)
| ~ leq(esk32_0,n5)
| ~ leq(esk33_0,n5)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_163]) ).
cnf(c_0_209,plain,
( epred3_0
| leq(n0,esk34_0)
| ~ leq(esk32_0,n5)
| ~ leq(esk33_0,n5)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_163]) ).
cnf(c_0_210,plain,
( epred3_0
| leq(esk34_0,n2)
| ~ leq(esk33_0,n5)
| ~ leq(esk32_0,n5)
| ~ leq(n0,esk33_0)
| ~ leq(n0,esk32_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_163]) ).
cnf(c_0_211,plain,
( epred3_0
| leq(esk32_0,n5)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_212,plain,
( epred3_0
| leq(esk33_0,n5)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_186]) ).
cnf(c_0_213,plain,
( epred3_0
| leq(n0,esk33_0)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_186]) ).
cnf(c_0_214,plain,
( epred3_0
| leq(n0,esk32_0)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_189,c_0_186]) ).
cnf(c_0_215,plain,
( ~ leq(esk33_0,n5)
| ~ leq(esk32_0,n5)
| ~ leq(n0,esk33_0)
| ~ leq(n0,esk32_0)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_186]) ).
cnf(c_0_216,plain,
( leq(esk32_0,n5)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_191,c_0_164]) ).
cnf(c_0_217,plain,
( leq(esk33_0,n5)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_192,c_0_164]) ).
cnf(c_0_218,plain,
( leq(esk32_0,n5)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_193,c_0_164]) ).
cnf(c_0_219,plain,
( leq(esk33_0,n5)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_194,c_0_164]) ).
cnf(c_0_220,plain,
( leq(esk34_0,n2)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_195,c_0_164]) ).
cnf(c_0_221,plain,
( leq(esk35_0,n2)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_196,c_0_164]) ).
cnf(c_0_222,plain,
( leq(esk34_0,n2)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_197,c_0_164]) ).
cnf(c_0_223,plain,
( leq(esk35_0,n2)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_198,c_0_164]) ).
cnf(c_0_224,plain,
( leq(esk34_0,n2)
| leq(esk32_0,n5) ),
inference(sr,[status(thm)],[c_0_199,c_0_164]) ).
cnf(c_0_225,plain,
( leq(esk35_0,n2)
| leq(esk32_0,n5) ),
inference(sr,[status(thm)],[c_0_200,c_0_164]) ).
cnf(c_0_226,plain,
( leq(esk34_0,n2)
| leq(esk33_0,n5) ),
inference(sr,[status(thm)],[c_0_201,c_0_164]) ).
cnf(c_0_227,plain,
( leq(esk35_0,n2)
| leq(esk33_0,n5) ),
inference(sr,[status(thm)],[c_0_202,c_0_164]) ).
cnf(c_0_228,plain,
( leq(n0,esk33_0)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_203,c_0_164]) ).
cnf(c_0_229,plain,
( leq(n0,esk33_0)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_204,c_0_164]) ).
cnf(c_0_230,plain,
( leq(n0,esk32_0)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_205,c_0_164]) ).
cnf(c_0_231,plain,
( leq(n0,esk32_0)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_206,c_0_164]) ).
cnf(c_0_232,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_207,c_0_208,c_0_209,c_0_210,c_0_211,c_0_212,c_0_213,c_0_214,c_0_215,c_0_216,c_0_217,c_0_218,c_0_219,c_0_220,c_0_221,c_0_222,c_0_223,c_0_224,c_0_225,c_0_226,c_0_227,c_0_228,c_0_229,c_0_230,c_0_231,c_0_164]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV112+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 03:57:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 91.01/91.06 % Version : CSE_E---1.5
% 91.01/91.06 % Problem : theBenchmark.p
% 91.01/91.06 % Proof found
% 91.01/91.06 % SZS status Theorem for theBenchmark.p
% 91.01/91.06 % SZS output start Proof
% See solution above
% 91.01/91.07 % Total time : 90.481000 s
% 91.01/91.07 % SZS output end Proof
% 91.01/91.07 % Total time : 90.491000 s
%------------------------------------------------------------------------------