TSTP Solution File: SWV111+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV111+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : 600s
% DateTime : Wed Jul 20 18:15:14 EDT 2022
% Result : Theorem 0.41s 24.59s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 249 ( 56 unt; 0 def)
% Number of atoms : 1285 ( 165 equ)
% Maximal formula atoms : 175 ( 5 avg)
% Number of connectives : 1567 ( 531 ~; 770 |; 212 &)
% ( 5 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 174 ( 4 sgn 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0004,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> ( ( ( lt(X29,plus(n1,minus(n6,n1)))
& X28 = pv57 )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ( lt(X28,pv57)
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) )
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,pv57)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) )
& ! [X34] :
( ( leq(n0,X34)
& leq(X34,minus(pv57,n1)) )
=> ! [X35] :
( ( leq(n0,X35)
& leq(X35,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X34,X35) = a_select3(id_ds1_filter,X35,X34) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0004) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).
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(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(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(lt_gt,axiom,
! [X1,X2] :
( lt(X1,X2)
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',lt_gt) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(c_0_15,plain,
( epred1_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> ( ( ( lt(X29,plus(n1,minus(n6,n1)))
& X28 = pv57 )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ( lt(X28,pv57)
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,pv57)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( epred1_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> ( ( ( lt(X29,plus(n1,minus(n6,n1)))
& X28 = pv57 )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ( lt(X28,pv57)
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_18,negated_conjecture,
~ ( epred1_0
=> ( epred3_0
& ! [X34] :
( ( leq(n0,X34)
& leq(X34,minus(pv57,n1)) )
=> ! [X35] :
( ( leq(n0,X35)
& leq(X35,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X34,X35) = a_select3(id_ds1_filter,X35,X34) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0004]),c_0_15]),c_0_16]) ).
fof(c_0_19,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_20,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(n0,pv57)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( leq(pv57,minus(n6,n1))
| ~ epred1_0 )
& ( ~ leq(n0,X30)
| ~ leq(n0,X31)
| ~ leq(X30,minus(n6,n1))
| ~ leq(X31,minus(n6,n1))
| a_select3(q_ds1_filter,X30,X31) = a_select3(q_ds1_filter,X31,X30)
| ~ epred1_0 )
& ( ~ leq(n0,X32)
| ~ leq(n0,X33)
| ~ leq(X32,minus(n3,n1))
| ~ leq(X33,minus(n3,n1))
| a_select3(r_ds1_filter,X32,X33) = a_select3(r_ds1_filter,X33,X32)
| ~ epred1_0 )
& ( ~ leq(n0,X34)
| ~ leq(n0,X35)
| ~ leq(X34,minus(n6,n1))
| ~ leq(X35,minus(n6,n1))
| a_select3(pminus_ds1_filter,X34,X35) = a_select3(pminus_ds1_filter,X35,X34)
| ~ epred1_0 )
& ( ~ lt(X37,plus(n1,minus(n6,n1)))
| X36 != pv57
| a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36)
| ~ leq(n0,X36)
| ~ leq(n0,X37)
| ~ leq(X36,minus(n6,n1))
| ~ leq(X37,minus(n6,n1))
| ~ epred1_0 )
& ( ~ lt(X36,pv57)
| a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36)
| ~ leq(n0,X36)
| ~ leq(n0,X37)
| ~ leq(X36,minus(n6,n1))
| ~ leq(X37,minus(n6,n1))
| ~ epred1_0 )
& ( ~ leq(n0,X38)
| ~ leq(X38,minus(pv57,n1))
| ~ leq(n0,X39)
| ~ leq(X39,minus(n6,n1))
| a_select3(id_ds1_filter,X38,X39) = a_select3(id_ds1_filter,X39,X38)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
fof(c_0_22,negated_conjecture,
( epred1_0
& ( leq(n0,esk1_0)
| ~ epred3_0 )
& ( leq(esk1_0,minus(pv57,n1))
| ~ epred3_0 )
& ( leq(n0,esk2_0)
| ~ epred3_0 )
& ( leq(esk2_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0)
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
fof(c_0_23,plain,
! [X2] : plus(n2,X2) = succ(succ(X2)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_24,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_25,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_27,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_28,plain,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
fof(c_0_30,plain,
( ( epred2_0
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,pv57)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_20]) ).
cnf(c_0_31,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(X1,minus(pv57,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_33,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_34,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_35,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_37,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_38,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
( ( leq(n0,esk5_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])]) ).
cnf(c_0_40,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_25]),c_0_25]),c_0_25]) ).
cnf(c_0_41,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42,plain,
( leq(n0,pv57)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_43,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,plain,
( leq(pv57,minus(n6,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_46,plain,
( ( leq(n0,esk9_0)
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk10_0)
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk9_0,pv57)
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0)
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk9_0)
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk10_0)
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk9_0,pv57)
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0)
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk9_0)
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk10_0)
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(esk9_0,pv57)
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0)
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk9_0)
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk10_0)
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(esk9_0,pv57)
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0)
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk9_0)
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(n0,esk10_0)
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk9_0,pv57)
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0)
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ epred3_0
| a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_48,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(pv57,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_49,negated_conjecture,
( leq(n0,esk1_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50,negated_conjecture,
( leq(n0,esk2_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_51,negated_conjecture,
( leq(esk1_0,minus(pv57,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_53,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_54,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_55,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_25]),c_0_25]) ).
cnf(c_0_56,plain,
n2 = plus(n1,n1),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_57,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_38,c_0_25]) ).
cnf(c_0_58,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,plain,
n3 = plus(plus(n1,n1),n1),
inference(rw,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_60,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_32])]) ).
cnf(c_0_61,plain,
leq(n0,pv57),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_32])]) ).
cnf(c_0_62,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_32])]) ).
cnf(c_0_63,plain,
leq(pv57,minus(n6,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_32])]) ).
cnf(c_0_64,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_65,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]) ).
fof(c_0_67,plain,
! [X2] : leq(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_68,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_69,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_70,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_25]),c_0_54]) ).
cnf(c_0_71,plain,
plus(plus(n1,n1),X1) = plus(n1,plus(X1,n1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_72,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_73,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_74,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_75,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_76,plain,
( epred2_0
| leq(esk6_0,minus(plus(plus(n1,n1),n1),n1))
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_77,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_78,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_79,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_80,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_81,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_82,plain,
( leq(n0,esk7_0)
| leq(X1,pv57)
| ~ epred2_0
| ~ leq(X1,esk9_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_83,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_84,plain,
( leq(esk7_0,minus(n6,n1))
| leq(X1,pv57)
| ~ epred2_0
| ~ leq(X1,esk9_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_66]) ).
cnf(c_0_85,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_86,plain,
( epred2_0
| leq(n0,esk5_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_87,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_88,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk5_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_89,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk5_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_90,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk5_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_91,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk5_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_92,plain,
( epred2_0
| leq(n0,esk6_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_93,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk6_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_94,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk6_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_95,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk6_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_96,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk6_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_97,plain,
( epred2_0
| leq(esk5_0,minus(plus(plus(n1,n1),n1),n1))
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_98,plain,
minus(plus(n1,plus(n1,n1)),n1) = plus(n1,n1),
inference(pm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_99,plain,
( epred2_0
| leq(esk5_0,minus(plus(plus(n1,n1),n1),n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_100,plain,
( epred2_0
| leq(esk5_0,minus(plus(plus(n1,n1),n1),n1))
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_101,plain,
( epred2_0
| leq(esk5_0,minus(plus(plus(n1,n1),n1),n1))
| leq(esk3_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_102,plain,
( epred2_0
| leq(esk5_0,minus(plus(plus(n1,n1),n1),n1))
| leq(esk4_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_103,plain,
( epred2_0
| leq(esk6_0,minus(plus(n1,plus(n1,n1)),n1))
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_76,c_0_57]) ).
cnf(c_0_104,plain,
( epred2_0
| leq(esk6_0,minus(plus(plus(n1,n1),n1),n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_105,plain,
( epred2_0
| leq(esk6_0,minus(plus(plus(n1,n1),n1),n1))
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_106,plain,
( epred2_0
| leq(esk6_0,minus(plus(plus(n1,n1),n1),n1))
| leq(esk3_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_107,plain,
( epred2_0
| leq(esk6_0,minus(plus(plus(n1,n1),n1),n1))
| leq(esk4_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_108,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_109,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_110,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_111,plain,
! [X2] : succ(pred(X2)) = X2,
inference(variable_rename,[status(thm)],[succ_pred]) ).
cnf(c_0_112,plain,
( epred3_0
| leq(esk9_0,pv57)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_113,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_81,c_0_32])]) ).
cnf(c_0_114,plain,
( leq(esk9_0,pv57)
| leq(n0,esk7_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_115,plain,
( leq(esk7_0,minus(n6,n1))
| leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_116,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_117,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_118,plain,
( epred2_0
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_119,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,minus(plus(n1,plus(n1,n1)),n1))
| ~ leq(X1,minus(plus(n1,plus(n1,n1)),n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_32]),c_0_59]),c_0_57]),c_0_59]),c_0_57])]) ).
cnf(c_0_120,plain,
( epred2_0
| leq(n0,esk5_0)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_121,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_87,c_0_32])]) ).
cnf(c_0_122,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_123,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_124,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_125,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_126,plain,
( epred2_0
| leq(n0,esk6_0)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_127,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_128,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_129,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_130,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_131,plain,
( epred2_0
| leq(esk5_0,plus(n1,n1))
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_57]),c_0_98]) ).
cnf(c_0_132,plain,
( epred2_0
| leq(esk5_0,plus(n1,n1))
| leq(n0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_57]),c_0_98]) ).
cnf(c_0_133,plain,
( epred2_0
| leq(esk5_0,plus(n1,n1))
| leq(n0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_57]),c_0_98]) ).
cnf(c_0_134,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk5_0,plus(n1,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_57]),c_0_98]) ).
cnf(c_0_135,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk5_0,plus(n1,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_57]),c_0_98]) ).
cnf(c_0_136,plain,
( epred2_0
| leq(esk6_0,plus(n1,n1))
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_103,c_0_98]) ).
cnf(c_0_137,plain,
( epred2_0
| leq(esk6_0,plus(n1,n1))
| leq(n0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_57]),c_0_98]) ).
cnf(c_0_138,plain,
( epred2_0
| leq(esk6_0,plus(n1,n1))
| leq(n0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_57]),c_0_98]) ).
cnf(c_0_139,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk6_0,plus(n1,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_57]),c_0_98]) ).
cnf(c_0_140,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk6_0,plus(n1,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_57]),c_0_98]) ).
cnf(c_0_141,plain,
( epred2_0
| leq(n0,esk3_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_142,plain,
( epred2_0
| leq(n0,esk4_0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_143,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_144,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_145,plain,
( leq(X1,minus(n6,n1))
| leq(n0,esk7_0)
| ~ epred2_0
| ~ leq(X1,esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_108]),c_0_66]) ).
cnf(c_0_146,plain,
( leq(esk7_0,minus(n6,n1))
| leq(X1,minus(n6,n1))
| ~ epred2_0
| ~ leq(X1,esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_109]),c_0_66]) ).
cnf(c_0_147,plain,
( leq(esk10_0,minus(n6,n1))
| leq(X1,minus(n6,n1))
| ~ epred2_0
| ~ leq(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_110]),c_0_66]) ).
cnf(c_0_148,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_149,plain,
( leq(esk9_0,pv57)
| ~ epred2_0
| ~ leq(esk8_0,minus(n6,n1))
| ~ leq(n0,esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_112,c_0_113]),c_0_66]),c_0_114]),c_0_115]) ).
cnf(c_0_150,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_151,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_152,plain,
( leq(X1,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0
| ~ leq(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_116]),c_0_66]) ).
cnf(c_0_153,plain,
( leq(X1,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0
| ~ leq(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_117]),c_0_66]) ).
cnf(c_0_154,plain,
( epred2_0
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_155,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_119,c_0_98]),c_0_98]) ).
cnf(c_0_156,plain,
( epred2_0
| leq(n0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_157,plain,
( epred2_0
| leq(n0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_126,c_0_121]),c_0_127]),c_0_128]),c_0_129]),c_0_130]) ).
cnf(c_0_158,plain,
( epred2_0
| leq(esk5_0,plus(n1,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_131,c_0_121]),c_0_132]),c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_159,plain,
( epred2_0
| leq(esk6_0,plus(n1,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_136,c_0_121]),c_0_137]),c_0_138]),c_0_139]),c_0_140]) ).
cnf(c_0_160,plain,
( epred2_0
| leq(n0,esk3_0)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_161,plain,
( epred2_0
| leq(n0,esk4_0)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_162,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_163,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_164,plain,
( epred3_0
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_165,plain,
( leq(esk10_0,minus(n6,n1))
| leq(n0,esk7_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_83]) ).
cnf(c_0_166,plain,
( leq(esk10_0,minus(n6,n1))
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_83]) ).
cnf(c_0_167,plain,
( leq(esk8_0,minus(n6,n1))
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_147,c_0_83]) ).
cnf(c_0_168,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_169,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_25]),c_0_54]) ).
fof(c_0_170,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])])]) ).
cnf(c_0_171,plain,
( leq(esk9_0,pv57)
| ~ epred2_0
| ~ leq(n0,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_66]) ).
cnf(c_0_172,plain,
( leq(esk9_0,pv57)
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_151]),c_0_66]) ).
cnf(c_0_173,plain,
( epred3_0
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_174,plain,
( epred3_0
| leq(n0,esk8_0)
| ~ epred2_0
| a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_176,plain,
( leq(esk8_0,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_83]) ).
cnf(c_0_177,plain,
( leq(esk8_0,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_83]) ).
cnf(c_0_178,plain,
( epred3_0
| leq(n0,esk9_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_179,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_180,plain,
( epred3_0
| leq(n0,esk10_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_182,plain,
( epred2_0
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_183,plain,
( epred2_0
| leq(n0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_160,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_184,plain,
( epred2_0
| leq(n0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_161,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_185,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_162,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_186,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_163,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_187,plain,
( leq(esk10_0,minus(n6,n1))
| ~ epred2_0
| ~ leq(n0,esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_164,c_0_113]),c_0_66]),c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_188,plain,
( leq(esk10_0,minus(n6,n1))
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_168]),c_0_66]) ).
cnf(c_0_189,plain,
( a_select3(id_ds1_filter,X2,X1) = a_select3(id_ds1_filter,X1,X2)
| ~ epred1_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| X2 != pv57
| ~ lt(X1,plus(n1,minus(n6,n1))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_190,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_169,c_0_57]) ).
fof(c_0_191,plain,
! [X3,X4,X3,X4] :
( ( ~ lt(X3,X4)
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| lt(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lt_gt])])])]) ).
cnf(c_0_192,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_193,plain,
( leq(X1,minus(n6,n1))
| ~ leq(X1,pv57) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_194,plain,
( leq(esk9_0,pv57)
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_83])]) ).
cnf(c_0_195,plain,
( a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0)
| ~ epred2_0
| ~ leq(esk8_0,minus(n6,n1))
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_173,c_0_113]),c_0_66]) ).
cnf(c_0_196,plain,
( leq(n0,esk8_0)
| ~ epred2_0
| ~ leq(esk10_0,minus(n6,n1))
| ~ leq(esk9_0,minus(pv57,n1))
| ~ leq(n0,esk10_0)
| ~ leq(n0,esk9_0) ),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_174,c_0_48]),c_0_66]) ).
cnf(c_0_197,plain,
( leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| ~ leq(esk9_0,minus(pv57,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_175,c_0_48]),c_0_66]),c_0_176]),c_0_177]),c_0_167]) ).
cnf(c_0_198,plain,
( leq(n0,esk9_0)
| ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_178,c_0_113]),c_0_66]),c_0_176]) ).
cnf(c_0_199,plain,
( leq(n0,esk9_0)
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_179]),c_0_66]) ).
cnf(c_0_200,plain,
( leq(n0,esk10_0)
| ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_180,c_0_113]),c_0_66]),c_0_177]) ).
cnf(c_0_201,plain,
( leq(n0,esk10_0)
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_181]),c_0_66]) ).
cnf(c_0_202,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_203,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_182,c_0_121]),c_0_183]),c_0_184]),c_0_185]),c_0_186]) ).
cnf(c_0_204,plain,
( leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_83])]) ).
cnf(c_0_205,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_206,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_207,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
fof(c_0_208,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| X3 = X4
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(c_0_209,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| X2 != pv57
| ~ lt(X1,n6)
| ~ 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_189,c_0_32]),c_0_190])]) ).
cnf(c_0_210,plain,
( lt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_211,plain,
( gt(X1,X2)
| ~ leq(X2,minus(X1,n1)) ),
inference(rw,[status(thm)],[c_0_192,c_0_54]) ).
cnf(c_0_212,plain,
( leq(esk9_0,minus(n6,n1))
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_213,plain,
( ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(esk10_0,minus(n6,n1))
| ~ leq(esk9_0,minus(pv57,n1))
| ~ leq(n0,esk7_0)
| ~ leq(n0,esk10_0)
| ~ leq(n0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_195,c_0_48]),c_0_196]),c_0_197]) ).
cnf(c_0_214,plain,
( leq(n0,esk9_0)
| ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_83])]) ).
cnf(c_0_215,plain,
( leq(n0,esk10_0)
| ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_83])]) ).
cnf(c_0_216,plain,
( leq(esk7_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203])]),c_0_66]) ).
cnf(c_0_217,plain,
leq(esk10_0,minus(n6,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_203])]) ).
cnf(c_0_218,plain,
( leq(esk7_0,minus(n6,n1))
| leq(n0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_203])]),c_0_66]) ).
cnf(c_0_219,plain,
( leq(esk7_0,minus(n6,n1))
| leq(n0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_203])]),c_0_66]) ).
cnf(c_0_220,plain,
( leq(X1,minus(X2,n1))
| ~ gt(X2,X1) ),
inference(rw,[status(thm)],[c_0_207,c_0_54]) ).
cnf(c_0_221,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_222,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| X2 != pv57
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_223,plain,
leq(esk9_0,minus(n6,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_203])]) ).
cnf(c_0_224,plain,
( epred3_0
| leq(n0,esk7_0)
| ~ epred2_0
| a_select3(id_ds1_filter,esk9_0,esk10_0) != a_select3(id_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_225,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_226,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_227,plain,
( ~ epred2_0
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(esk9_0,minus(pv57,n1))
| ~ leq(n0,esk7_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_204]),c_0_214]),c_0_215]) ).
cnf(c_0_228,plain,
( leq(esk7_0,minus(n6,n1))
| ~ leq(esk9_0,minus(pv57,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_216,c_0_48]),c_0_217])]),c_0_218]),c_0_219]) ).
cnf(c_0_229,plain,
( X1 = X2
| leq(X2,minus(X1,n1))
| ~ leq(X2,X1) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_230,plain,
leq(esk9_0,pv57),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_203])]) ).
cnf(c_0_231,plain,
( leq(esk7_0,minus(n6,n1))
| esk9_0 != pv57 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_216,c_0_222]),c_0_223]),c_0_217])]),c_0_219]),c_0_218]) ).
cnf(c_0_232,plain,
( leq(n0,esk7_0)
| a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_203])]),c_0_66]) ).
cnf(c_0_233,plain,
( leq(n0,esk7_0)
| leq(n0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_203])]),c_0_66]) ).
cnf(c_0_234,plain,
( leq(n0,esk7_0)
| leq(n0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_203])]),c_0_66]) ).
cnf(c_0_235,plain,
( ~ leq(esk7_0,minus(n6,n1))
| ~ leq(esk9_0,minus(pv57,n1))
| ~ leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_203])]) ).
cnf(c_0_236,plain,
leq(esk7_0,minus(n6,n1)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_237,plain,
( leq(n0,esk7_0)
| ~ leq(esk9_0,minus(pv57,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_232,c_0_48]),c_0_217])]),c_0_233]),c_0_234]) ).
cnf(c_0_238,plain,
( leq(n0,esk8_0)
| a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_203])]),c_0_66]) ).
cnf(c_0_239,plain,
( leq(esk8_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_203])]),c_0_66]) ).
cnf(c_0_240,plain,
~ leq(esk9_0,minus(pv57,n1)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236])]),c_0_237]) ).
cnf(c_0_241,plain,
a_select3(id_ds1_filter,esk10_0,esk9_0) != a_select3(id_ds1_filter,esk9_0,esk10_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_203])]),c_0_232]),c_0_238]),c_0_216]),c_0_239]) ).
cnf(c_0_242,plain,
( leq(n0,esk7_0)
| esk9_0 != pv57 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_232,c_0_222]),c_0_223]),c_0_217])]),c_0_234]),c_0_233]) ).
cnf(c_0_243,plain,
esk9_0 = pv57,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_229]),c_0_230])]) ).
cnf(c_0_244,plain,
( esk9_0 != pv57
| ~ leq(n0,esk9_0)
| ~ leq(n0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_241,c_0_222]),c_0_223]),c_0_217])]) ).
cnf(c_0_245,plain,
( leq(n0,esk10_0)
| ~ leq(esk7_0,minus(n6,n1))
| ~ leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_203])]) ).
cnf(c_0_246,plain,
leq(n0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]) ).
cnf(c_0_247,plain,
~ leq(n0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_243]),c_0_243]),c_0_61])]) ).
cnf(c_0_248,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_236])]),c_0_246])]),c_0_247]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV111+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 00:27:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.45 eprover: CPU time limit exceeded, terminating
% 0.41/24.59 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.41/24.59
% 0.41/24.59 # Failure: Resource limit exceeded (time)
% 0.41/24.59 # OLD status Res
% 0.41/24.59 # Preprocessing time : 0.029 s
% 0.41/24.59 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.41/24.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.41/24.59 # Preprocessing time : 0.023 s
% 0.41/24.59
% 0.41/24.59 # Proof found!
% 0.41/24.59 # SZS status Theorem
% 0.41/24.59 # SZS output start CNFRefutation
% See solution above
% 0.41/24.59 # Proof object total steps : 249
% 0.41/24.59 # Proof object clause steps : 212
% 0.41/24.59 # Proof object formula steps : 37
% 0.41/24.59 # Proof object conjectures : 10
% 0.41/24.59 # Proof object clause conjectures : 7
% 0.41/24.59 # Proof object formula conjectures : 3
% 0.41/24.59 # Proof object initial clauses used : 80
% 0.41/24.59 # Proof object initial formulas used : 15
% 0.41/24.59 # Proof object generating inferences : 55
% 0.41/24.59 # Proof object simplifying inferences : 366
% 0.41/24.59 # Training examples: 0 positive, 0 negative
% 0.41/24.59 # Parsed axioms : 102
% 0.41/24.59 # Removed by relevancy pruning/SinE : 23
% 0.41/24.59 # Initial clauses : 148
% 0.41/24.59 # Removed in clause preprocessing : 2
% 0.41/24.59 # Initial clauses in saturation : 146
% 0.41/24.59 # Processed clauses : 3605
% 0.41/24.59 # ...of these trivial : 59
% 0.41/24.59 # ...subsumed : 2411
% 0.41/24.59 # ...remaining for further processing : 1134
% 0.41/24.59 # Other redundant clauses eliminated : 0
% 0.41/24.59 # Clauses deleted for lack of memory : 0
% 0.41/24.59 # Backward-subsumed : 220
% 0.41/24.59 # Backward-rewritten : 406
% 0.41/24.59 # Generated clauses : 18450
% 0.41/24.59 # ...of the previous two non-trivial : 14117
% 0.41/24.59 # Contextual simplify-reflections : 4721
% 0.41/24.59 # Paramodulations : 18154
% 0.41/24.59 # Factorizations : 292
% 0.41/24.59 # Equation resolutions : 0
% 0.41/24.59 # Current number of processed clauses : 504
% 0.41/24.59 # Positive orientable unit clauses : 109
% 0.41/24.59 # Positive unorientable unit clauses: 14
% 0.41/24.59 # Negative unit clauses : 88
% 0.41/24.59 # Non-unit-clauses : 293
% 0.41/24.59 # Current number of unprocessed clauses: 3631
% 0.41/24.59 # ...number of literals in the above : 14288
% 0.41/24.59 # Current number of archived formulas : 0
% 0.41/24.59 # Current number of archived clauses : 632
% 0.41/24.59 # Clause-clause subsumption calls (NU) : 108451
% 0.41/24.59 # Rec. Clause-clause subsumption calls : 26308
% 0.41/24.59 # Non-unit clause-clause subsumptions : 6701
% 0.41/24.59 # Unit Clause-clause subsumption calls : 2596
% 0.41/24.59 # Rewrite failures with RHS unbound : 0
% 0.41/24.59 # BW rewrite match attempts : 498
% 0.41/24.59 # BW rewrite match successes : 104
% 0.41/24.59 # Condensation attempts : 0
% 0.41/24.59 # Condensation successes : 0
% 0.41/24.59 # Termbank termtop insertions : 413019
% 0.41/24.59
% 0.41/24.59 # -------------------------------------------------
% 0.41/24.59 # User time : 0.680 s
% 0.41/24.59 # System time : 0.008 s
% 0.41/24.59 # Total time : 0.688 s
% 0.41/24.59 # Maximum resident set size: 8088 pages
% 0.41/46.42 eprover: CPU time limit exceeded, terminating
% 0.41/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.44 eprover: No such file or directory
% 0.41/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.44 eprover: No such file or directory
% 0.41/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.45 eprover: No such file or directory
% 0.41/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.46 eprover: No such file or directory
% 0.41/46.46 eprover: CPU time limit exceeded, terminating
% 0.41/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.46 eprover: No such file or directory
% 0.41/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.47 eprover: No such file or directory
% 0.41/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.47 eprover: No such file or directory
% 0.41/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.47 eprover: No such file or directory
% 0.41/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.48 eprover: No such file or directory
% 0.41/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.48 eprover: No such file or directory
% 0.41/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.48 eprover: No such file or directory
% 0.41/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.48 eprover: No such file or directory
% 0.41/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.48 eprover: No such file or directory
% 0.41/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.49 eprover: No such file or directory
% 0.41/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.49 eprover: No such file or directory
% 0.41/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.49 eprover: No such file or directory
% 0.41/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.49 eprover: No such file or directory
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.50 eprover: No such file or directory
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.50 eprover: No such file or directory
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.50 eprover: No such file or directory
% 0.41/46.52 eprover: CPU time limit exceeded, terminating
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.57 eprover: No such file or directory
%------------------------------------------------------------------------------