TSTP Solution File: SWV116+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV116+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 : n015.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 21:36:38 EDT 2023
% Result : Theorem 81.70s 81.78s
% Output : CNFRefutation 81.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 94
% Syntax : Number of formulae : 223 ( 72 unt; 76 typ; 0 def)
% Number of atoms : 513 ( 130 equ)
% Maximal formula atoms : 75 ( 3 avg)
% Number of connectives : 488 ( 122 ~; 210 |; 124 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 3 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 : 68 ( 68 usr; 23 con; 0-7 aty)
% Number of variables : 113 ( 0 sgn; 74 !; 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,
n999: $i ).
tff(decl_57,type,
n6: $i ).
tff(decl_58,type,
q_ds1_filter: $i ).
tff(decl_59,type,
r_ds1_filter: $i ).
tff(decl_60,type,
pminus_ds1_filter: $i ).
tff(decl_61,type,
id_ds1_filter: $i ).
tff(decl_62,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_63,type,
epred2_0: $o ).
tff(decl_64,type,
epred3_0: $o ).
tff(decl_65,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk24_0: $i ).
tff(decl_89,type,
esk25_0: $i ).
tff(decl_90,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk30_0: $i ).
tff(decl_95,type,
esk31_0: $i ).
tff(decl_96,type,
esk32_0: $i ).
tff(decl_97,type,
esk33_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_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_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_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
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(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_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_symm_0009,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,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,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) )
=> ( ! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0009) ).
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(c_0_16,plain,
! [X139] : plus(X139,n1) = succ(X139),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_17,plain,
! [X142] : plus(n2,X142) = succ(succ(X142)),
inference(variable_rename,[status(thm)],[succ_plus_2_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_16]) ).
cnf(c_0_20,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_21,plain,
! [X140] : plus(n1,X140) = succ(X140),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_22,plain,
! [X143] : plus(X143,n3) = succ(succ(succ(X143))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_23,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,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_25,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_26,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X145] : plus(X145,n4) = succ(succ(succ(succ(X145)))),
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_22]) ).
cnf(c_0_29,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_30,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19]),c_0_19]) ).
cnf(c_0_31,plain,
n2 = plus(n1,n1),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_26,c_0_19]) ).
fof(c_0_33,plain,
! [X147] : plus(X147,n5) = succ(succ(succ(succ(succ(X147))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
cnf(c_0_34,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,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_36,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_37,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_38,plain,
plus(plus(n1,n1),X1) = plus(n1,plus(X1,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_39,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,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,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,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_40,plain,
( epred3_0
<=> ( ! [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_41,plain,
! [X148] : plus(n5,X148) = succ(succ(succ(succ(succ(X148))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
cnf(c_0_42,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,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_34,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_44,plain,
plus(n1,plus(n1,plus(X1,n1))) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_32]),c_0_32]) ).
cnf(c_0_45,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_46,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_36,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_47,plain,
plus(n1,plus(n1,n1)) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_25]),c_0_38]) ).
fof(c_0_48,plain,
( epred2_0
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,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,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,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_39]) ).
fof(c_0_49,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) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0009]),c_0_39]),c_0_40]) ).
fof(c_0_50,plain,
! [X150] : pred(succ(X150)) = X150,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_51,plain,
! [X149] : minus(X149,n1) = pred(X149),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_52,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
plus(X1,n5) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
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_54,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)],[c_0_43,c_0_32]),c_0_32]),c_0_44]),c_0_32]) ).
cnf(c_0_55,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_56,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_45,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_57,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_25]),c_0_38]),c_0_47]),c_0_32]) ).
fof(c_0_58,plain,
! [X207,X208,X209,X210,X211,X212,X213,X214,X215,X216] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X207)
| ~ leq(n0,X208)
| ~ leq(X207,minus(n6,n1))
| ~ leq(X208,minus(n6,n1))
| a_select3(q_ds1_filter,X207,X208) = a_select3(q_ds1_filter,X208,X207)
| ~ epred2_0 )
& ( ~ leq(n0,X209)
| ~ leq(n0,X210)
| ~ leq(X209,minus(n3,n1))
| ~ leq(X210,minus(n3,n1))
| a_select3(r_ds1_filter,X209,X210) = a_select3(r_ds1_filter,X210,X209)
| ~ epred2_0 )
& ( ~ leq(n0,X211)
| ~ leq(n0,X212)
| ~ leq(X211,minus(n6,n1))
| ~ leq(X212,minus(n6,n1))
| a_select3(pminus_ds1_filter,X211,X212) = a_select3(pminus_ds1_filter,X212,X211)
| ~ epred2_0 )
& ( ~ leq(n0,X213)
| ~ leq(n0,X214)
| ~ leq(X213,minus(n6,n1))
| ~ leq(X214,minus(n6,n1))
| a_select3(pminus_ds1_filter,X213,X214) = a_select3(pminus_ds1_filter,X214,X213)
| ~ epred2_0 )
& ( ~ leq(n0,X215)
| ~ leq(X215,minus(n6,n1))
| ~ leq(n0,X216)
| ~ leq(X216,minus(n6,n1))
| a_select3(id_ds1_filter,X215,X216) = a_select3(id_ds1_filter,X216,X215)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
fof(c_0_59,negated_conjecture,
( epred2_0
& ( leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk25_0,minus(n6,n1))
| ~ epred3_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_49])])])]) ).
cnf(c_0_60,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
plus(n5,X1) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
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_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_63,plain,
plus(n1,plus(X1,n4)) = plus(X1,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)],[c_0_53,c_0_32]),c_0_32]),c_0_44]),c_0_32]),c_0_54]),c_0_32]) ).
cnf(c_0_64,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_55,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_65,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)],[c_0_56,c_0_25]),c_0_38]),c_0_47]),c_0_32]),c_0_57]),c_0_32]) ).
cnf(c_0_66,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_58]) ).
cnf(c_0_67,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_19]),c_0_61]) ).
cnf(c_0_69,plain,
plus(X1,n5) = plus(n5,X1),
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_62,c_0_32]),c_0_32]),c_0_44]),c_0_32]),c_0_54]),c_0_32]),c_0_63]) ).
cnf(c_0_70,plain,
plus(n1,n5) = 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)],[inference(rw,[status(thm)],[c_0_64,c_0_25]),c_0_38]),c_0_47]),c_0_32]),c_0_57]),c_0_32]),c_0_65]),c_0_32]) ).
fof(c_0_71,plain,
( ( ! [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_40]) ).
cnf(c_0_72,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_66,c_0_67])]) ).
cnf(c_0_73,plain,
minus(n6,n1) = n5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_75,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_76,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_58]) ).
fof(c_0_77,plain,
( ( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| epred3_0 )
& ( leq(n0,esk33_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).
cnf(c_0_78,negated_conjecture,
( 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_59]) ).
cnf(c_0_79,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_72,c_0_73]),c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_81,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_82,negated_conjecture,
( leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_84,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_58]) ).
cnf(c_0_85,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_76,c_0_67])]) ).
cnf(c_0_86,plain,
( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_88,plain,
( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,plain,
( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_91,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_92,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_93,plain,
( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_94,plain,
( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_95,plain,
( leq(esk30_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_96,plain,
( leq(esk31_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_97,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_84,c_0_67])]) ).
cnf(c_0_98,plain,
minus(n3,n1) = plus(n1,n1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_38]),c_0_47]) ).
cnf(c_0_99,plain,
( leq(n0,esk33_0)
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_100,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_85,c_0_73]),c_0_73]) ).
cnf(c_0_101,plain,
( leq(n0,esk33_0)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_102,plain,
( leq(n0,esk33_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_103,plain,
( leq(n0,esk33_0)
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_73]),c_0_87]) ).
cnf(c_0_104,plain,
( leq(n0,esk33_0)
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_73]),c_0_87]) ).
cnf(c_0_105,plain,
( leq(n0,esk32_0)
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_106,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_91,c_0_87]) ).
cnf(c_0_107,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_108,plain,
( leq(n0,esk32_0)
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_73]),c_0_87]) ).
cnf(c_0_109,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_73]),c_0_87]) ).
cnf(c_0_110,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_111,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_112,plain,
( epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_113,plain,
( leq(esk30_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_73]),c_0_87]) ).
cnf(c_0_114,plain,
( leq(esk31_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_73]),c_0_87]) ).
cnf(c_0_115,plain,
( leq(n0,esk30_0)
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_116,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,plus(n1,n1))
| ~ leq(X1,plus(n1,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_98]) ).
cnf(c_0_117,plain,
leq(n0,esk33_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_87]),c_0_101]),c_0_102]),c_0_103]),c_0_104]) ).
cnf(c_0_118,plain,
leq(n0,esk32_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_100]),c_0_87]),c_0_106]),c_0_107]),c_0_108]),c_0_109]) ).
cnf(c_0_119,plain,
( leq(esk32_0,plus(n1,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_98]),c_0_87]) ).
cnf(c_0_120,plain,
( leq(esk33_0,plus(n1,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_98]),c_0_87]) ).
cnf(c_0_121,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_122,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_123,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_100]),c_0_87]),c_0_113]),c_0_114]) ).
cnf(c_0_124,plain,
leq(n0,esk30_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_87]),c_0_117]),c_0_118])]),c_0_119]),c_0_120]) ).
cnf(c_0_125,plain,
( leq(n0,esk31_0)
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_126,plain,
( leq(esk32_0,plus(n1,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_98]),c_0_87]) ).
cnf(c_0_127,plain,
( leq(esk33_0,plus(n1,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_98]),c_0_87]) ).
cnf(c_0_128,plain,
( leq(esk32_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_129,plain,
( leq(esk33_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_130,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_131,plain,
leq(n0,esk31_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_116]),c_0_87]),c_0_117]),c_0_118])]),c_0_126]),c_0_127]) ).
cnf(c_0_132,plain,
( leq(esk32_0,plus(n1,n1))
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_98]),c_0_87]) ).
cnf(c_0_133,plain,
( leq(esk33_0,plus(n1,n1))
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_98]),c_0_87]) ).
cnf(c_0_134,plain,
a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_135,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_136,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_137,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_138,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_139,plain,
( leq(esk32_0,plus(n1,n1))
| ~ leq(esk31_0,n5)
| ~ leq(esk30_0,n5)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_100]) ).
cnf(c_0_140,plain,
( leq(esk33_0,plus(n1,n1))
| ~ leq(esk31_0,n5)
| ~ leq(esk30_0,n5)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_100]) ).
cnf(c_0_141,plain,
( ~ leq(esk32_0,plus(n1,n1))
| ~ leq(esk33_0,plus(n1,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_116]),c_0_118]),c_0_117])]) ).
cnf(c_0_142,plain,
( leq(esk32_0,plus(n1,n1))
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_98]),c_0_73]),c_0_87]) ).
cnf(c_0_143,plain,
( leq(esk33_0,plus(n1,n1))
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_98]),c_0_73]),c_0_87]) ).
cnf(c_0_144,plain,
( leq(esk32_0,plus(n1,n1))
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_98]),c_0_73]),c_0_87]) ).
cnf(c_0_145,plain,
( leq(esk33_0,plus(n1,n1))
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_98]),c_0_73]),c_0_87]) ).
cnf(c_0_146,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_139,c_0_140,c_0_141,c_0_142,c_0_143,c_0_144,c_0_145,c_0_131,c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV116+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
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:07:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 81.70/81.78 % Version : CSE_E---1.5
% 81.70/81.78 % Problem : theBenchmark.p
% 81.70/81.78 % Proof found
% 81.70/81.78 % SZS status Theorem for theBenchmark.p
% 81.70/81.78 % SZS output start Proof
% See solution above
% 81.82/81.80 % Total time : 81.221000 s
% 81.82/81.80 % SZS output end Proof
% 81.82/81.80 % Total time : 81.229000 s
%------------------------------------------------------------------------------