TSTP Solution File: SWV115+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 18:15:15 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 232 ( 52 unt; 0 def)
% Number of atoms : 1085 ( 144 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1224 ( 371 ~; 622 |; 186 &)
% ( 3 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_4) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_5) ).
fof(quaternion_ds1_symm_0008,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X32,X33) = a_select3(pminus_ds1_filter,X33,X32) )
& ! [X34] :
( ( leq(n0,X34)
& leq(X34,minus(n6,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_0008) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_6) ).
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(c_0_12,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_13,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_14,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_16,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_17,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
cnf(c_0_18,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_19,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_20,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_21,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,plain,
( epred1_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
& ! [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,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X32,X33) = a_select3(pminus_ds1_filter,X33,X32) ) ) ),
introduced(definition) ).
cnf(c_0_24,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_25,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_19,c_0_14]),c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_26,plain,
plus(n2,n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18]),c_0_21]) ).
fof(c_0_27,plain,
( epred1_0
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X28,X29) = a_select3(pminus_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
fof(c_0_28,negated_conjecture,
~ ( epred1_0
=> ( epred3_0
& ! [X34] :
( ( leq(n0,X34)
& leq(X34,minus(n6,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_0008]),c_0_22]),c_0_23]) ).
fof(c_0_29,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_30,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_31,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_32,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_24,c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_33,plain,
plus(n3,n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_18]),c_0_21]),c_0_26]) ).
fof(c_0_34,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) ) ),
introduced(definition) ).
fof(c_0_35,plain,
! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,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 )
& ( ~ leq(n0,X36)
| ~ leq(n0,X37)
| ~ leq(X36,minus(n6,n1))
| ~ leq(X37,minus(n6,n1))
| a_select3(pminus_ds1_filter,X36,X37) = a_select3(pminus_ds1_filter,X37,X36)
| ~ epred1_0 )
& ( ~ leq(n0,X38)
| ~ leq(X38,minus(n6,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_27])])])])])]) ).
fof(c_0_36,negated_conjecture,
( epred1_0
& ( leq(n0,esk1_0)
| ~ epred3_0 )
& ( leq(esk1_0,minus(n6,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_28])])])])])]) ).
cnf(c_0_37,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,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_31,c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_40,plain,
plus(n4,n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_18]),c_0_21]),c_0_26]),c_0_33]) ).
fof(c_0_41,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,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X32,X33) = a_select3(pminus_ds1_filter,X33,X32) ) )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_23]),c_0_34]) ).
cnf(c_0_42,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(n6,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,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_35]) ).
cnf(c_0_45,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_14]),c_0_38]) ).
cnf(c_0_46,plain,
plus(n5,n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_18]),c_0_21]),c_0_26]),c_0_33]),c_0_40]) ).
fof(c_0_47,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,minus(n6,n1))
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(n0,esk7_0)
| ~ epred2_0
| epred3_0 )
& ( a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_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,minus(n6,n1))
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( leq(esk10_0,minus(n6,n1))
| leq(n0,esk8_0)
| ~ epred2_0
| epred3_0 )
& ( a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_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,minus(n6,n1))
| 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(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_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,minus(n6,n1))
| 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(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_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,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 )
& ( 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(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_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_41])])])])])]) ).
cnf(c_0_48,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_36]) ).
cnf(c_0_49,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)],[c_0_42,c_0_43])]) ).
cnf(c_0_50,negated_conjecture,
( leq(n0,esk1_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( leq(n0,esk2_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_54,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])]) ).
cnf(c_0_55,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_44,c_0_43])]) ).
cnf(c_0_56,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,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_48,c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_59,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_62,plain,
! [X2] : leq(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_63,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_64,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,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(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,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_55,c_0_56]),c_0_56]) ).
cnf(c_0_68,plain,
( leq(esk7_0,n5)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56]),c_0_58]) ).
cnf(c_0_69,plain,
( leq(esk8_0,n5)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_56]),c_0_58]) ).
cnf(c_0_70,plain,
( leq(n0,esk9_0)
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_58]) ).
cnf(c_0_71,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,plain,
( leq(n0,esk10_0)
| leq(X1,esk8_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_58]) ).
cnf(c_0_73,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk9_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_74,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_75,plain,
( leq(n0,esk7_0)
| leq(X1,esk9_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_64]),c_0_58]) ).
cnf(c_0_76,plain,
( leq(n0,esk7_0)
| leq(X1,esk10_0)
| ~ epred2_0
| ~ leq(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_65]),c_0_58]) ).
cnf(c_0_77,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk9_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_78,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_79,plain,
( a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0)
| ~ epred2_0
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58]),c_0_68]),c_0_69]) ).
cnf(c_0_80,plain,
( epred3_0
| leq(n0,esk8_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_81,plain,
( leq(n0,esk8_0)
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
( leq(n0,esk8_0)
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_83,plain,
( leq(n0,esk8_0)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_56]),c_0_58]) ).
cnf(c_0_84,plain,
( leq(n0,esk8_0)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_56]),c_0_58]) ).
cnf(c_0_85,plain,
( epred3_0
| leq(n0,esk7_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_86,plain,
( leq(n0,esk9_0)
| leq(n0,esk7_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_87,plain,
( leq(n0,esk10_0)
| leq(n0,esk7_0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_71]) ).
cnf(c_0_88,plain,
( leq(n0,esk7_0)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_56]),c_0_58]) ).
cnf(c_0_89,plain,
( leq(n0,esk7_0)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_56]),c_0_58]) ).
cnf(c_0_90,plain,
( ~ epred2_0
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0)
| ~ leq(esk10_0,n5)
| ~ leq(esk9_0,n5)
| ~ leq(n0,esk10_0)
| ~ leq(n0,esk9_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_91,plain,
( leq(n0,esk8_0)
| ~ epred2_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_80,c_0_67]),c_0_58]),c_0_81]),c_0_82]),c_0_83]),c_0_84]) ).
cnf(c_0_92,plain,
( leq(n0,esk7_0)
| ~ epred2_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_85,c_0_67]),c_0_58]),c_0_86]),c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_93,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_94,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_95,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(esk9_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_96,plain,
( epred3_0
| leq(esk7_0,minus(n6,n1))
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_97,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(n0,esk10_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_98,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(n0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_99,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(esk9_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_100,plain,
( epred3_0
| leq(esk8_0,minus(n6,n1))
| leq(esk10_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_101,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
cnf(c_0_102,plain,
( ~ epred2_0
| ~ leq(esk10_0,n5)
| ~ leq(esk9_0,n5)
| ~ leq(n0,esk10_0)
| ~ leq(n0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_103,plain,
( leq(n0,esk10_0)
| leq(esk7_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_56]),c_0_58]) ).
cnf(c_0_104,plain,
( leq(n0,esk9_0)
| leq(esk7_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_56]),c_0_58]) ).
cnf(c_0_105,plain,
( leq(esk7_0,n5)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_56]),c_0_56]),c_0_58]) ).
cnf(c_0_106,plain,
( leq(esk7_0,n5)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_56]),c_0_56]),c_0_58]) ).
cnf(c_0_107,plain,
( leq(n0,esk10_0)
| leq(esk8_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_56]),c_0_58]) ).
cnf(c_0_108,plain,
( leq(n0,esk9_0)
| leq(esk8_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_56]),c_0_58]) ).
cnf(c_0_109,plain,
( leq(esk8_0,n5)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_56]),c_0_56]),c_0_58]) ).
cnf(c_0_110,plain,
( leq(esk8_0,n5)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_56]),c_0_56]),c_0_58]) ).
fof(c_0_111,plain,
( ( leq(n0,esk5_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk3_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,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(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk4_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,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(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,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(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,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(pv5,minus(n999,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(pv5,minus(n999,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(pv5,minus(n999,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(pv5,minus(n999,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(pv5,minus(n999,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(pv5,minus(n999,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_101])])])])])]) ).
cnf(c_0_112,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_113,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_114,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_47]) ).
cnf(c_0_115,plain,
( leq(esk7_0,n5)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_116,plain,
( leq(esk8_0,n5)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_107]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_117,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_47]) ).
cnf(c_0_118,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_47]) ).
cnf(c_0_119,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_35]) ).
cnf(c_0_120,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_121,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_43])]) ).
cnf(c_0_122,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_43])]) ).
cnf(c_0_123,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_124,plain,
( leq(n0,esk10_0)
| ~ epred2_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_114,c_0_67]),c_0_58]),c_0_92]),c_0_91]),c_0_115]),c_0_116]) ).
cnf(c_0_125,plain,
( leq(n0,esk9_0)
| ~ epred2_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_117,c_0_67]),c_0_58]),c_0_92]),c_0_91]),c_0_115]),c_0_116]) ).
cnf(c_0_126,plain,
( leq(esk10_0,n5)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_56]),c_0_58]) ).
cnf(c_0_127,plain,
( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_128,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_119,c_0_43])]) ).
cnf(c_0_129,plain,
( epred2_0
| leq(n0,esk3_0)
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_130,plain,
( epred2_0
| leq(n0,esk4_0)
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_131,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)],[c_0_120,c_0_121]),c_0_122])]) ).
cnf(c_0_132,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)],[c_0_123,c_0_121]),c_0_122])]) ).
cnf(c_0_133,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_35]) ).
cnf(c_0_134,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_135,plain,
( epred3_0
| leq(esk9_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_47]) ).
cnf(c_0_136,plain,
( ~ epred2_0
| ~ leq(esk10_0,n5)
| ~ leq(esk9_0,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_124]),c_0_125]) ).
cnf(c_0_137,plain,
( leq(esk10_0,n5)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_67]),c_0_92]),c_0_91]),c_0_115]),c_0_116]) ).
cnf(c_0_138,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_139,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_140,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_141,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_142,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_143,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_144,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_145,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_146,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_147,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)],[c_0_127,c_0_121]),c_0_122])]) ).
cnf(c_0_148,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_128,c_0_56]),c_0_56]) ).
cnf(c_0_149,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)],[c_0_129,c_0_121]),c_0_122])]) ).
cnf(c_0_150,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)],[c_0_130,c_0_121]),c_0_122])]) ).
cnf(c_0_151,plain,
( epred2_0
| leq(esk3_0,n5)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[c_0_131,c_0_56]) ).
cnf(c_0_152,plain,
( epred2_0
| leq(esk4_0,n5)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[c_0_132,c_0_56]) ).
cnf(c_0_153,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_43])]) ).
cnf(c_0_154,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_155,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)],[c_0_134,c_0_121]),c_0_122])]) ).
cnf(c_0_156,plain,
( leq(esk9_0,n5)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0)
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_56]),c_0_58]) ).
cnf(c_0_157,plain,
( ~ epred2_0
| ~ leq(esk9_0,n5) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_158,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)],[c_0_138,c_0_121]),c_0_122])]) ).
cnf(c_0_159,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_121]),c_0_122])]) ).
cnf(c_0_160,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_121]),c_0_122])]) ).
cnf(c_0_161,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)],[c_0_141,c_0_121]),c_0_122])]) ).
cnf(c_0_162,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)],[c_0_142,c_0_121]),c_0_122])]) ).
cnf(c_0_163,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_121]),c_0_122])]) ).
cnf(c_0_164,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_121]),c_0_122])]) ).
cnf(c_0_165,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_166,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_167,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_121]),c_0_122])]) ).
cnf(c_0_168,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_121]),c_0_122])]) ).
cnf(c_0_169,plain,
( epred2_0
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_170,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_153,c_0_154]),c_0_154]) ).
cnf(c_0_171,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[c_0_155,c_0_56]) ).
cnf(c_0_172,plain,
~ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_67]),c_0_92]),c_0_91]),c_0_115]),c_0_116]),c_0_157]) ).
cnf(c_0_173,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[c_0_158,c_0_56]) ).
cnf(c_0_174,plain,
( epred2_0
| leq(esk4_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_56]),c_0_154]) ).
cnf(c_0_175,plain,
( epred2_0
| leq(esk4_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_56]),c_0_154]) ).
cnf(c_0_176,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[c_0_161,c_0_56]) ).
cnf(c_0_177,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[c_0_162,c_0_56]) ).
cnf(c_0_178,plain,
( epred2_0
| leq(esk3_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_56]),c_0_154]) ).
cnf(c_0_179,plain,
( epred2_0
| leq(esk3_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_56]),c_0_154]) ).
cnf(c_0_180,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_121]),c_0_122])]) ).
cnf(c_0_181,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_121]),c_0_122])]) ).
cnf(c_0_182,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[c_0_167,c_0_154]) ).
cnf(c_0_183,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[c_0_168,c_0_154]) ).
cnf(c_0_184,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_185,plain,
( epred2_0
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_186,plain,
( epred2_0
| ~ leq(esk6_0,n2)
| ~ leq(esk5_0,n2)
| ~ leq(n0,esk6_0)
| ~ leq(n0,esk5_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_187,plain,
( leq(esk4_0,n5)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_188,plain,
( leq(esk4_0,n5)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_173,c_0_172]) ).
cnf(c_0_189,plain,
( leq(esk5_0,n2)
| leq(esk4_0,n5) ),
inference(sr,[status(thm)],[c_0_174,c_0_172]) ).
cnf(c_0_190,plain,
( leq(esk6_0,n2)
| leq(esk4_0,n5) ),
inference(sr,[status(thm)],[c_0_175,c_0_172]) ).
cnf(c_0_191,plain,
( leq(esk3_0,n5)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_176,c_0_172]) ).
cnf(c_0_192,plain,
( leq(esk3_0,n5)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_177,c_0_172]) ).
cnf(c_0_193,plain,
( leq(esk5_0,n2)
| leq(esk3_0,n5) ),
inference(sr,[status(thm)],[c_0_178,c_0_172]) ).
cnf(c_0_194,plain,
( leq(esk6_0,n2)
| leq(esk3_0,n5) ),
inference(sr,[status(thm)],[c_0_179,c_0_172]) ).
cnf(c_0_195,plain,
( leq(n0,esk3_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_180,c_0_172]) ).
cnf(c_0_196,plain,
( leq(n0,esk3_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_181,c_0_172]) ).
cnf(c_0_197,plain,
( leq(esk5_0,n2)
| leq(n0,esk3_0) ),
inference(sr,[status(thm)],[c_0_182,c_0_172]) ).
cnf(c_0_198,plain,
( leq(esk6_0,n2)
| leq(n0,esk3_0) ),
inference(sr,[status(thm)],[c_0_183,c_0_172]) ).
cnf(c_0_199,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_121]),c_0_122])]) ).
cnf(c_0_200,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_201,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_202,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)],[c_0_185,c_0_121]),c_0_122])]) ).
cnf(c_0_203,plain,
leq(esk4_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_172]),c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_204,plain,
leq(esk3_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_191]),c_0_172]),c_0_192]),c_0_193]),c_0_194]) ).
cnf(c_0_205,plain,
leq(n0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_195]),c_0_172]),c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_206,plain,
( leq(n0,esk4_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_199,c_0_172]) ).
cnf(c_0_207,plain,
( epred2_0
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_208,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_121]),c_0_122])]) ).
cnf(c_0_209,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_210,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_121]),c_0_122])]) ).
cnf(c_0_211,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_212,plain,
leq(n0,esk5_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_148]),c_0_203]),c_0_204]),c_0_205])]),c_0_172]),c_0_206]) ).
cnf(c_0_213,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)],[c_0_207,c_0_121]),c_0_122])]) ).
cnf(c_0_214,plain,
( leq(n0,esk4_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_208,c_0_172]) ).
cnf(c_0_215,plain,
( epred2_0
| leq(esk6_0,minus(n3,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)],[c_0_209,c_0_121]),c_0_122])]) ).
cnf(c_0_216,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[c_0_210,c_0_154]) ).
cnf(c_0_217,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| leq(n0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_121]),c_0_122])]) ).
cnf(c_0_218,plain,
( ~ leq(esk6_0,n2)
| ~ leq(esk5_0,n2)
| ~ leq(n0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_212])]),c_0_172]) ).
cnf(c_0_219,plain,
leq(n0,esk6_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_148]),c_0_203]),c_0_204]),c_0_205])]),c_0_172]),c_0_214]) ).
cnf(c_0_220,plain,
( epred2_0
| leq(esk6_0,n2)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_215,c_0_154]) ).
cnf(c_0_221,plain,
( leq(esk6_0,n2)
| leq(n0,esk4_0) ),
inference(sr,[status(thm)],[c_0_216,c_0_172]) ).
cnf(c_0_222,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ 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_111]) ).
cnf(c_0_223,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[c_0_217,c_0_154]) ).
cnf(c_0_224,plain,
( ~ leq(esk6_0,n2)
| ~ leq(esk5_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]) ).
cnf(c_0_225,plain,
leq(esk6_0,n2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_148]),c_0_203]),c_0_204]),c_0_205])]),c_0_172]),c_0_221]) ).
cnf(c_0_226,plain,
( epred2_0
| leq(esk5_0,minus(n3,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)],[c_0_222,c_0_121]),c_0_122])]) ).
cnf(c_0_227,plain,
( leq(esk5_0,n2)
| leq(n0,esk4_0) ),
inference(sr,[status(thm)],[c_0_223,c_0_172]) ).
cnf(c_0_228,plain,
~ leq(esk5_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225])]) ).
cnf(c_0_229,plain,
( epred2_0
| leq(esk5_0,n2)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_226,c_0_154]) ).
cnf(c_0_230,plain,
leq(n0,esk4_0),
inference(sr,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_231,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_229,c_0_148]),c_0_203]),c_0_204]),c_0_230]),c_0_205])]),c_0_172]),c_0_228]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 10:10:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.022 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 232
% 0.23/1.42 # Proof object clause steps : 204
% 0.23/1.42 # Proof object formula steps : 28
% 0.23/1.42 # Proof object conjectures : 10
% 0.23/1.42 # Proof object clause conjectures : 7
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 73
% 0.23/1.42 # Proof object initial formulas used : 12
% 0.23/1.42 # Proof object generating inferences : 33
% 0.23/1.42 # Proof object simplifying inferences : 300
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 102
% 0.23/1.42 # Removed by relevancy pruning/SinE : 24
% 0.23/1.42 # Initial clauses : 143
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 141
% 0.23/1.42 # Processed clauses : 1671
% 0.23/1.42 # ...of these trivial : 72
% 0.23/1.42 # ...subsumed : 615
% 0.23/1.42 # ...remaining for further processing : 983
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 163
% 0.23/1.42 # Backward-rewritten : 134
% 0.23/1.42 # Generated clauses : 9161
% 0.23/1.42 # ...of the previous two non-trivial : 7634
% 0.23/1.42 # Contextual simplify-reflections : 190
% 0.23/1.42 # Paramodulations : 9027
% 0.23/1.42 # Factorizations : 16
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 568
% 0.23/1.42 # Positive orientable unit clauses : 153
% 0.23/1.42 # Positive unorientable unit clauses: 3
% 0.23/1.43 # Negative unit clauses : 119
% 0.23/1.43 # Non-unit-clauses : 293
% 0.23/1.43 # Current number of unprocessed clauses: 2427
% 0.23/1.43 # ...number of literals in the above : 12772
% 0.23/1.43 # Current number of archived formulas : 0
% 0.23/1.43 # Current number of archived clauses : 417
% 0.23/1.43 # Clause-clause subsumption calls (NU) : 23809
% 0.23/1.43 # Rec. Clause-clause subsumption calls : 12506
% 0.23/1.43 # Non-unit clause-clause subsumptions : 573
% 0.23/1.43 # Unit Clause-clause subsumption calls : 5647
% 0.23/1.43 # Rewrite failures with RHS unbound : 0
% 0.23/1.43 # BW rewrite match attempts : 62
% 0.23/1.43 # BW rewrite match successes : 55
% 0.23/1.43 # Condensation attempts : 0
% 0.23/1.43 # Condensation successes : 0
% 0.23/1.43 # Termbank termtop insertions : 81799
% 0.23/1.43
% 0.23/1.43 # -------------------------------------------------
% 0.23/1.43 # User time : 0.229 s
% 0.23/1.43 # System time : 0.006 s
% 0.23/1.43 # Total time : 0.235 s
% 0.23/1.43 # Maximum resident set size: 7532 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------