%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV117+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 : Tue May 5 05:20:52 PM UTC 2026
% Result : Theorem 15.77s 10.20s
% Output : CNFRefutation 15.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 248 ( 82 unt; 0 def)
% Number of atoms : 990 ( 170 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 1118 ( 376 ~; 564 |; 144 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-3 aty)
% Number of variables : 134 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_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(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_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_l,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_3_l) ).
fof(quaternion_ds1_symm_0010,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] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X19,X15) = a_select3(pminus_ds1_filter,X15,X19) )
& ! [X30] :
( ( leq(n0,X30)
& leq(X30,minus(n6,n1)) )
=> ! [X31] :
( ( leq(n0,X31)
& leq(X31,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X30,X31) = a_select3(id_ds1_filter,X31,X30) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0010) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
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_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
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(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
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_18,plain,
! [X326] : plus(X326,n2) = succ(succ(X326)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_19,plain,
! [X324] : plus(X324,n1) = succ(X324),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_20,plain,
! [X325] : plus(n1,X325) = succ(X325),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_21,plain,
! [X328] : plus(X328,n3) = succ(succ(succ(X328))),
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_18]) ).
cnf(c_0_23,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,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] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) ) ),
introduced(definition) ).
fof(c_0_26,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) ) ) ),
introduced(definition) ).
cnf(c_0_27,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_28,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_29,plain,
! [X329] : plus(n3,X329) = succ(succ(succ(X329))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
cnf(c_0_30,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_32,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
fof(c_0_33,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] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_25]) ).
fof(c_0_34,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X19,X15) = a_select3(pminus_ds1_filter,X15,X19) )
& ! [X30] :
( ( leq(n0,X30)
& leq(X30,minus(n6,n1)) )
=> ! [X31] :
( ( leq(n0,X31)
& leq(X31,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X30,X31) = a_select3(id_ds1_filter,X31,X30) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0010]),c_0_25]),c_0_26]) ).
cnf(c_0_35,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_36,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_23]),c_0_23]) ).
cnf(c_0_37,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_38,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,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_30,c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_40,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_41,plain,
! [X336] : succ(pred(X336)) = X336,
inference(variable_rename,[status(thm)],[succ_pred]) ).
fof(c_0_42,plain,
! [X334] : minus(X334,n1) = pred(X334),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_43,plain,
! [X394,X395,X396,X397,X398,X399,X400,X401] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X394)
| ~ leq(n0,X395)
| ~ leq(X394,minus(n6,n1))
| ~ leq(X395,minus(n6,n1))
| a_select3(q_ds1_filter,X394,X395) = a_select3(q_ds1_filter,X395,X394)
| ~ epred2_0 )
& ( ~ leq(n0,X396)
| ~ leq(n0,X397)
| ~ leq(X396,minus(n3,n1))
| ~ leq(X397,minus(n3,n1))
| a_select3(r_ds1_filter,X396,X397) = a_select3(r_ds1_filter,X397,X396)
| ~ epred2_0 )
& ( ~ leq(n0,X398)
| ~ leq(n0,X399)
| ~ leq(X398,minus(n6,n1))
| ~ leq(X399,minus(n6,n1))
| a_select3(pminus_ds1_filter,X398,X399) = a_select3(pminus_ds1_filter,X399,X398)
| ~ epred2_0 )
& ( ~ leq(n0,X400)
| ~ leq(X400,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X401)
| ~ leq(X401,minus(n6,n1))
| a_select3(id_ds1_filter,X400,X401) = a_select3(id_ds1_filter,X401,X400)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_44,negated_conjecture,
( epred2_0
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n6,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(n6,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(n6,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(n6,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(n6,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_34])])])]) ).
cnf(c_0_45,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_46,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_47,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
plus(n3,X1) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_49,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_32]),c_0_40]),c_0_32]) ).
cnf(c_0_50,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,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_43]) ).
cnf(c_0_53,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_54,plain,
! [X224,X225,X226] :
( ~ leq(X224,X225)
| ~ leq(X225,X226)
| leq(X224,X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_55,plain,
! [X335] : pred(succ(X335)) = X335,
inference(variable_rename,[status(thm)],[pred_succ]) ).
cnf(c_0_56,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_57,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_45,c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_58,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_37]),c_0_47]),c_0_32]) ).
cnf(c_0_59,plain,
plus(X1,n3) = plus(n3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_32]),c_0_40]),c_0_32]),c_0_49]) ).
cnf(c_0_60,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_61,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_23]),c_0_51]) ).
cnf(c_0_62,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_52,c_0_53])]) ).
cnf(c_0_63,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_44]) ).
cnf(c_0_64,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_44]) ).
cnf(c_0_65,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,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_44]) ).
cnf(c_0_67,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,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_56,c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_69,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_57,c_0_37]),c_0_47]),c_0_32]),c_0_58]),c_0_59]) ).
cnf(c_0_70,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_60,c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_71,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_72,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_73,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( leq(X1,minus(n6,n1))
| a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_75,plain,
! [X223] : leq(X223,X223),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_76,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_23]),c_0_51]) ).
cnf(c_0_77,plain,
plus(n1,plus(n1,n4)) = 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_68,c_0_37]),c_0_47]),c_0_32]),c_0_58]),c_0_59]),c_0_69]),c_0_32]),c_0_32]) ).
cnf(c_0_78,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_70,c_0_37]),c_0_47]),c_0_32]),c_0_58]),c_0_59]),c_0_69]),c_0_32]) ).
cnf(c_0_79,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_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)],[inference(rw,[status(thm)],[c_0_71,c_0_53]),c_0_72])]) ).
cnf(c_0_80,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_44]) ).
cnf(c_0_81,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_44]) ).
cnf(c_0_82,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_44]) ).
cnf(c_0_83,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| a_select3(id_ds1_filter,esk27_0,esk26_0) != a_select3(id_ds1_filter,esk26_0,esk27_0)
| ~ epred3_0
| ~ leq(n0,X1)
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_85,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_44]) ).
cnf(c_0_86,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_76,c_0_32]) ).
cnf(c_0_87,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_89,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_90,negated_conjecture,
( a_select3(id_ds1_filter,X1,esk27_0) = a_select3(id_ds1_filter,esk27_0,X1)
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( leq(esk26_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_44]) ).
cnf(c_0_92,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_44]) ).
cnf(c_0_93,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_95,negated_conjecture,
( leq(n0,esk27_0)
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_96,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| leq(n0,esk26_0)
| ~ epred3_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_88]),c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_99,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_100,negated_conjecture,
( a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| leq(n0,esk27_0)
| ~ epred3_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_94]),c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( leq(n0,esk27_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_103,negated_conjecture,
( leq(n0,esk27_0)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_104,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_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_79,c_0_96]),c_0_96]) ).
cnf(c_0_105,negated_conjecture,
( leq(n0,esk26_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_106,negated_conjecture,
( leq(n0,esk27_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_108,negated_conjecture,
( leq(esk26_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_109,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_110,negated_conjecture,
( leq(esk26_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_111,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_112,negated_conjecture,
( leq(esk26_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_113,plain,
! [X327] : plus(n2,X327) = succ(succ(X327)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_114,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_62,c_0_96]),c_0_96]) ).
cnf(c_0_115,negated_conjecture,
( leq(esk27_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_116,negated_conjecture,
( ~ epred3_0
| ~ leq(esk27_0,n5)
| ~ leq(esk26_0,n5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_117,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_107,c_0_96]) ).
cnf(c_0_118,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_108,c_0_96]) ).
cnf(c_0_119,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_109,c_0_96]) ).
cnf(c_0_120,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_110,c_0_96]) ).
cnf(c_0_121,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_96]),c_0_96]) ).
cnf(c_0_122,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk26_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_96]),c_0_96]) ).
fof(c_0_123,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
cnf(c_0_124,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_125,negated_conjecture,
( ~ epred3_0
| ~ leq(esk25_0,n5)
| ~ leq(esk24_0,n5)
| ~ leq(n0,esk25_0)
| ~ leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_114]) ).
cnf(c_0_126,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk27_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_96]),c_0_96]) ).
cnf(c_0_127,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_119]),c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( leq(esk24_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_121]),c_0_122]) ).
fof(c_0_130,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_123])])])]) ).
cnf(c_0_131,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_132,plain,
( leq(pv5,minus(n999,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_133,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_23]),c_0_23]) ).
cnf(c_0_134,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_43]) ).
cnf(c_0_135,negated_conjecture,
( leq(esk26_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_136,negated_conjecture,
( leq(esk27_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_128]),c_0_129]) ).
cnf(c_0_137,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_130]) ).
cnf(c_0_138,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_53])]) ).
cnf(c_0_139,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_53])]) ).
cnf(c_0_140,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_32]),c_0_40]) ).
cnf(c_0_141,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_130]) ).
cnf(c_0_142,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_130]) ).
cnf(c_0_143,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_134,c_0_53])]) ).
cnf(c_0_144,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk26_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_96]),c_0_96]) ).
cnf(c_0_145,negated_conjecture,
( ~ epred3_0
| ~ leq(esk26_0,n5) ),
inference(spm,[status(thm)],[c_0_116,c_0_136]) ).
cnf(c_0_146,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_43]) ).
cnf(c_0_147,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_130]) ).
cnf(c_0_148,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_130]) ).
cnf(c_0_149,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_137,c_0_138]),c_0_139])]) ).
cnf(c_0_150,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_140]),c_0_58]) ).
cnf(c_0_151,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_141,c_0_138]),c_0_139])]) ).
cnf(c_0_152,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_130]) ).
cnf(c_0_153,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_130]) ).
cnf(c_0_154,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_142,c_0_138])]),c_0_139])]) ).
cnf(c_0_155,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_143,c_0_96]),c_0_96]) ).
cnf(c_0_156,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_125,c_0_144]),c_0_127]),c_0_128]),c_0_129]),c_0_145]) ).
cnf(c_0_157,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_146,c_0_53])]) ).
cnf(c_0_158,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_130]) ).
cnf(c_0_159,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_147,c_0_138]),c_0_139])]) ).
cnf(c_0_160,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_148,c_0_138]),c_0_139])]) ).
cnf(c_0_161,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_162,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_163,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_130]) ).
cnf(c_0_164,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_130]) ).
cnf(c_0_165,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_152,c_0_138]),c_0_139])]) ).
cnf(c_0_166,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_153,c_0_138]),c_0_139])]) ).
cnf(c_0_167,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_130]) ).
cnf(c_0_168,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_130]) ).
cnf(c_0_169,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_130]) ).
cnf(c_0_170,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_130]) ).
cnf(c_0_171,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_154,c_0_155]),c_0_156]) ).
cnf(c_0_172,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_157,c_0_150]),c_0_150]) ).
cnf(c_0_173,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_158,c_0_138]),c_0_139])]) ).
cnf(c_0_174,plain,
( leq(n0,esk32_0)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_159,c_0_156]) ).
cnf(c_0_175,plain,
( leq(n0,esk32_0)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_160,c_0_156]) ).
cnf(c_0_176,plain,
( leq(esk34_0,n2)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_161,c_0_156]) ).
cnf(c_0_177,plain,
( leq(esk35_0,n2)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_162,c_0_156]) ).
cnf(c_0_178,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_130]) ).
cnf(c_0_179,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_163,c_0_138]),c_0_139])]) ).
cnf(c_0_180,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_164,c_0_138]),c_0_139])]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_165,c_0_150]) ).
cnf(c_0_182,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_166,c_0_150]) ).
cnf(c_0_183,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_130]) ).
cnf(c_0_184,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_167,c_0_138]),c_0_139])]) ).
cnf(c_0_185,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_168,c_0_138]),c_0_139])]) ).
cnf(c_0_186,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_169,c_0_138]),c_0_139])]) ).
cnf(c_0_187,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_170,c_0_138]),c_0_139])]) ).
cnf(c_0_188,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_130]) ).
cnf(c_0_189,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_130]) ).
cnf(c_0_190,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_130]) ).
cnf(c_0_191,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_130]) ).
cnf(c_0_192,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_171,c_0_172]) ).
cnf(c_0_193,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_173,c_0_172]),c_0_156]),c_0_174]),c_0_175]),c_0_176]),c_0_177]) ).
cnf(c_0_194,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_178,c_0_138]),c_0_139])]) ).
cnf(c_0_195,plain,
( leq(n0,esk33_0)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_179,c_0_156]) ).
cnf(c_0_196,plain,
( leq(n0,esk33_0)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_180,c_0_156]) ).
cnf(c_0_197,plain,
( leq(esk34_0,n2)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_181,c_0_156]) ).
cnf(c_0_198,plain,
( leq(esk35_0,n2)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_182,c_0_156]) ).
cnf(c_0_199,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_183,c_0_138]),c_0_139])]) ).
cnf(c_0_200,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_184,c_0_96]) ).
cnf(c_0_201,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_185,c_0_96]) ).
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_186,c_0_150]),c_0_96]) ).
cnf(c_0_203,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_150]),c_0_96]) ).
cnf(c_0_204,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_130]) ).
cnf(c_0_205,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_188,c_0_138]),c_0_139])]) ).
cnf(c_0_206,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_189,c_0_138]),c_0_139])]) ).
cnf(c_0_207,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_190,c_0_138]),c_0_139])]) ).
cnf(c_0_208,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_191,c_0_138]),c_0_139])]) ).
cnf(c_0_209,plain,
( ~ leq(esk33_0,n5)
| ~ leq(esk32_0,n5)
| ~ leq(n0,esk33_0)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]) ).
cnf(c_0_210,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_194,c_0_172]),c_0_156]),c_0_195]),c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_211,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_199,c_0_96]) ).
cnf(c_0_212,plain,
( leq(esk33_0,n5)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_200,c_0_156]) ).
cnf(c_0_213,plain,
( leq(esk33_0,n5)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_201,c_0_156]) ).
cnf(c_0_214,plain,
( leq(esk35_0,n2)
| leq(esk33_0,n5) ),
inference(sr,[status(thm)],[c_0_202,c_0_156]) ).
cnf(c_0_215,plain,
( leq(esk34_0,n2)
| leq(esk33_0,n5) ),
inference(sr,[status(thm)],[c_0_203,c_0_156]) ).
cnf(c_0_216,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_204,c_0_138]),c_0_139])]) ).
cnf(c_0_217,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_205,c_0_96]) ).
cnf(c_0_218,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_206,c_0_96]) ).
cnf(c_0_219,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_150]),c_0_96]) ).
cnf(c_0_220,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_150]),c_0_96]) ).
cnf(c_0_221,plain,
( ~ leq(esk33_0,n5)
| ~ leq(esk32_0,n5)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]) ).
cnf(c_0_222,plain,
leq(esk33_0,n5),
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_211,c_0_172]),c_0_156]),c_0_212]),c_0_213]),c_0_214]),c_0_215]) ).
cnf(c_0_223,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_216,c_0_96]) ).
cnf(c_0_224,plain,
( leq(esk32_0,n5)
| leq(n0,esk35_0) ),
inference(sr,[status(thm)],[c_0_217,c_0_156]) ).
cnf(c_0_225,plain,
( leq(esk32_0,n5)
| leq(n0,esk34_0) ),
inference(sr,[status(thm)],[c_0_218,c_0_156]) ).
cnf(c_0_226,plain,
( leq(esk35_0,n2)
| leq(esk32_0,n5) ),
inference(sr,[status(thm)],[c_0_219,c_0_156]) ).
cnf(c_0_227,plain,
( leq(esk34_0,n2)
| leq(esk32_0,n5) ),
inference(sr,[status(thm)],[c_0_220,c_0_156]) ).
cnf(c_0_228,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_130]) ).
cnf(c_0_229,plain,
( ~ leq(esk32_0,n5)
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222])]) ).
cnf(c_0_230,plain,
leq(esk32_0,n5),
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_223,c_0_172]),c_0_156]),c_0_224]),c_0_225]),c_0_226]),c_0_227]) ).
cnf(c_0_231,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_228,c_0_138]),c_0_139])]) ).
cnf(c_0_232,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_130]) ).
cnf(c_0_233,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_130]) ).
cnf(c_0_234,plain,
( ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230])]) ).
cnf(c_0_235,plain,
leq(n0,esk34_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_155]),c_0_222]),c_0_230]),c_0_210]),c_0_193])]),c_0_156]) ).
cnf(c_0_236,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_232,c_0_138]),c_0_139])]) ).
cnf(c_0_237,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_233,c_0_138]),c_0_139])]) ).
cnf(c_0_238,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_130]) ).
cnf(c_0_239,plain,
( ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_235])]) ).
cnf(c_0_240,plain,
leq(n0,esk35_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_155]),c_0_222]),c_0_230]),c_0_210]),c_0_193])]),c_0_156]) ).
cnf(c_0_241,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_237,c_0_150]) ).
cnf(c_0_242,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_238,c_0_138]),c_0_139])]) ).
cnf(c_0_243,plain,
( ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_240])]) ).
cnf(c_0_244,plain,
leq(esk34_0,n2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_155]),c_0_222]),c_0_230]),c_0_210]),c_0_193])]),c_0_156]) ).
cnf(c_0_245,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_242,c_0_150]) ).
cnf(c_0_246,plain,
~ leq(esk35_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]) ).
cnf(c_0_247,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_155]),c_0_222]),c_0_230]),c_0_210]),c_0_193])]),c_0_156]),c_0_246]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV117+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:56:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 15.77/10.20 % Version : CSE_E---1.7
% 15.77/10.20 % Problem : theBenchmark.p
% 15.77/10.20 % SZS status Theorem for theBenchmark.p
% 15.77/10.20 % SZS output start CNFRefutation
% See solution above
% 15.77/10.25 % Total time : 7.437s
%------------------------------------------------------------------------------