TSTP Solution File: SWV117+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:42:54 EDT 2024
% Result : Theorem 1.78s 0.65s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 202 ( 46 unt; 0 def)
% Number of atoms : 903 ( 133 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1030 ( 329 ~; 525 |; 143 &)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_4) ).
fof(quaternion_ds1_symm_0010,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X19,X15) = a_select3(pminus_ds1_filter,X15,X19) )
& ! [X30] :
( ( leq(n0,X30)
& leq(X30,minus(n6,n1)) )
=> ! [X31] :
( ( leq(n0,X31)
& leq(X31,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X30,X31) = a_select3(id_ds1_filter,X31,X30) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',quaternion_ds1_symm_0010) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',pred_minus_1) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_5) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',successor_6) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',succ_pred) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p',succ_plus_1_l) ).
cnf(c_0_11,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_12,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_13,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_14,plain,
succ(n1) = n2,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,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] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) ) ) ),
introduced(definition) ).
cnf(c_0_17,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_18,plain,
succ(n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).
fof(c_0_19,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] :
( ( leq(n0,X28)
& leq(X28,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_20,negated_conjecture,
~ ( epred1_0
=> ( epred2_0
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X19,X15) = a_select3(pminus_ds1_filter,X15,X19) )
& ! [X30] :
( ( leq(n0,X30)
& leq(X30,minus(n6,n1)) )
=> ! [X31] :
( ( leq(n0,X31)
& leq(X31,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X30,X31) = a_select3(id_ds1_filter,X31,X30) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0010]),c_0_15]),c_0_16]) ).
fof(c_0_21,plain,
! [X81] : pred(succ(X81)) = X81,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_22,plain,
! [X53] : minus(X53,n1) = pred(X53),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_23,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_24,plain,
succ(n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_14]),c_0_18]) ).
fof(c_0_25,plain,
! [X83,X84,X85,X86,X87,X88,X89,X90] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( ~ leq(n0,X83)
| ~ leq(n0,X84)
| ~ leq(X83,minus(n6,n1))
| ~ leq(X84,minus(n6,n1))
| a_select3(q_ds1_filter,X83,X84) = a_select3(q_ds1_filter,X84,X83)
| ~ epred1_0 )
& ( ~ leq(n0,X85)
| ~ leq(n0,X86)
| ~ leq(X85,minus(n3,n1))
| ~ leq(X86,minus(n3,n1))
| a_select3(r_ds1_filter,X85,X86) = a_select3(r_ds1_filter,X86,X85)
| ~ epred1_0 )
& ( ~ leq(n0,X87)
| ~ leq(n0,X88)
| ~ leq(X87,minus(n6,n1))
| ~ leq(X88,minus(n6,n1))
| a_select3(pminus_ds1_filter,X87,X88) = a_select3(pminus_ds1_filter,X88,X87)
| ~ epred1_0 )
& ( ~ leq(n0,X89)
| ~ leq(X89,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X90)
| ~ leq(X90,minus(n6,n1))
| a_select3(id_ds1_filter,X89,X90) = a_select3(id_ds1_filter,X90,X89)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
fof(c_0_26,negated_conjecture,
( epred1_0
& ( leq(n0,esk3_0)
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(esk3_0,minus(n6,n1))
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(n0,esk4_0)
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(esk4_0,minus(n6,n1))
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(n0,esk3_0)
| leq(n0,esk2_0)
| ~ epred2_0 )
& ( leq(esk3_0,minus(n6,n1))
| leq(n0,esk2_0)
| ~ epred2_0 )
& ( leq(n0,esk4_0)
| leq(n0,esk2_0)
| ~ epred2_0 )
& ( leq(esk4_0,minus(n6,n1))
| leq(n0,esk2_0)
| ~ epred2_0 )
& ( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| leq(n0,esk2_0)
| ~ epred2_0 )
& ( leq(n0,esk3_0)
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(esk3_0,minus(n6,n1))
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(n0,esk4_0)
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(esk4_0,minus(n6,n1))
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(n0,esk3_0)
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(esk3_0,minus(n6,n1))
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(n0,esk4_0)
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(esk4_0,minus(n6,n1))
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(n0,esk3_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 )
& ( leq(esk3_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 )
& ( leq(n0,esk4_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 )
& ( leq(esk4_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 )
& ( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
cnf(c_0_27,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_30,plain,
succ(n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_12]),c_0_14]),c_0_18]),c_0_24]) ).
fof(c_0_31,plain,
! [X82] : succ(pred(X82)) = X82,
inference(variable_rename,[status(thm)],[succ_pred]) ).
cnf(c_0_32,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
succ(n5) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_12]),c_0_14]),c_0_18]),c_0_24]),c_0_30]) ).
fof(c_0_36,plain,
! [X65] : plus(n1,X65) = succ(X65),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_37,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,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_32,c_0_33])]) ).
cnf(c_0_39,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n6,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
succ(minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_28]) ).
fof(c_0_45,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X5,X11) = a_select3(q_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n3,n1))
& leq(X6,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X16,X6) = a_select3(r_ds1_filter,X6,X16) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_46,negated_conjecture,
( a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,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_38,c_0_39]),c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( leq(n0,esk1_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( leq(n0,esk2_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_50,negated_conjecture,
( leq(esk1_0,n5)
| a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_51,negated_conjecture,
( leq(esk2_0,n5)
| a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_52,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_33]),c_0_43]),c_0_44])]) ).
cnf(c_0_53,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_54,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| leq(n0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_55,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| leq(n0,esk2_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_58,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_59,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_60,negated_conjecture,
( leq(n0,esk4_0)
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_61,negated_conjecture,
( leq(n0,esk4_0)
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_62,plain,
( ( leq(n0,esk7_0)
| leq(n0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk8_0)
| leq(n0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk7_0,minus(n3,n1))
| leq(n0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk8_0,minus(n3,n1))
| leq(n0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| leq(n0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk7_0)
| leq(n0,esk6_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk8_0)
| leq(n0,esk6_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk7_0,minus(n3,n1))
| leq(n0,esk6_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk8_0,minus(n3,n1))
| leq(n0,esk6_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| leq(n0,esk6_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk7_0)
| leq(esk5_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk8_0)
| leq(esk5_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk7_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk8_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| leq(esk5_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk7_0)
| leq(esk6_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk8_0)
| leq(esk6_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk7_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk8_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| leq(esk6_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk7_0)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(n0,esk8_0)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk7_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( leq(esk8_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])]) ).
cnf(c_0_63,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_64,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_65,negated_conjecture,
( a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_66,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_39]),c_0_39]) ).
cnf(c_0_67,negated_conjecture,
( leq(esk4_0,n5)
| a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_53,c_0_39]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_55,c_0_39]) ).
cnf(c_0_70,negated_conjecture,
( leq(esk4_0,n5)
| leq(esk1_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_39]),c_0_39]) ).
cnf(c_0_71,negated_conjecture,
( leq(esk4_0,n5)
| leq(esk2_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_39]),c_0_39]) ).
cnf(c_0_72,negated_conjecture,
( leq(n0,esk3_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_73,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_74,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk2_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_75,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_58,c_0_39]) ).
cnf(c_0_76,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk2_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_59,c_0_39]) ).
cnf(c_0_77,negated_conjecture,
( leq(n0,esk4_0)
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78,negated_conjecture,
( leq(n0,esk4_0)
| leq(n0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_79,negated_conjecture,
( leq(n0,esk4_0)
| leq(n0,esk2_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_80,negated_conjecture,
( leq(n0,esk4_0)
| leq(esk1_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_81,negated_conjecture,
( leq(n0,esk4_0)
| leq(esk2_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_61,c_0_39]) ).
cnf(c_0_82,plain,
( leq(esk8_0,minus(n3,n1))
| leq(n0,esk5_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_33])]) ).
cnf(c_0_84,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_33])]) ).
cnf(c_0_85,negated_conjecture,
( leq(esk3_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_86,negated_conjecture,
( leq(esk3_0,minus(n6,n1))
| leq(n0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_87,negated_conjecture,
( leq(esk3_0,minus(n6,n1))
| leq(n0,esk2_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk3_0,minus(n6,n1))
| leq(esk1_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_89,negated_conjecture,
( leq(esk3_0,minus(n6,n1))
| leq(esk2_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_90,plain,
( ~ epred2_0
| ~ leq(esk4_0,n5)
| ~ leq(esk3_0,n5)
| ~ leq(n0,esk4_0)
| ~ leq(n0,esk3_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_91,negated_conjecture,
( leq(esk4_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_67,c_0_47]),c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_92,negated_conjecture,
( leq(n0,esk3_0)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_47]),c_0_73]),c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_93,negated_conjecture,
( leq(n0,esk4_0)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_47]),c_0_78]),c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_94,plain,
( leq(esk8_0,minus(n3,n1))
| leq(n0,esk6_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_95,plain,
( leq(esk8_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_96,plain,
( leq(esk8_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_97,plain,
( leq(esk7_0,minus(n3,n1))
| leq(n0,esk5_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_98,plain,
( leq(esk7_0,minus(n3,n1))
| leq(n0,esk6_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_99,plain,
( leq(esk7_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_100,plain,
( leq(esk7_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_101,plain,
( leq(n0,esk8_0)
| leq(esk5_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_102,plain,
( leq(n0,esk8_0)
| leq(esk6_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_103,plain,
( leq(n0,esk7_0)
| leq(esk5_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_104,plain,
( leq(n0,esk7_0)
| leq(esk6_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_105,plain,
( leq(esk8_0,minus(n3,n1))
| epred2_0
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_106,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_107,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_108,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_109,negated_conjecture,
( leq(esk3_0,n5)
| a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_85,c_0_39]) ).
cnf(c_0_110,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_86,c_0_39]) ).
cnf(c_0_111,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk3_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_87,c_0_39]) ).
cnf(c_0_112,negated_conjecture,
( leq(esk3_0,n5)
| leq(esk1_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_39]),c_0_39]) ).
cnf(c_0_113,negated_conjecture,
( leq(esk3_0,n5)
| leq(esk2_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_39]),c_0_39]) ).
cnf(c_0_114,plain,
( ~ epred2_0
| ~ leq(esk3_0,n5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]) ).
cnf(c_0_115,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_83]),c_0_84])]) ).
cnf(c_0_116,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_83]),c_0_84])]) ).
cnf(c_0_117,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_83]),c_0_84])]) ).
cnf(c_0_118,plain,
( leq(esk7_0,minus(n3,n1))
| epred2_0
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_119,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_83]),c_0_84])]) ).
cnf(c_0_120,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_83]),c_0_84])]) ).
cnf(c_0_121,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| leq(esk5_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_83]),c_0_84])]) ).
cnf(c_0_122,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| leq(esk6_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_83]),c_0_84])]) ).
cnf(c_0_123,plain,
( leq(n0,esk8_0)
| leq(n0,esk5_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_124,plain,
( leq(n0,esk8_0)
| leq(n0,esk6_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_125,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_83]),c_0_84])]) ).
cnf(c_0_126,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_83]),c_0_84])]) ).
cnf(c_0_127,plain,
( leq(n0,esk7_0)
| leq(n0,esk5_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_128,plain,
( leq(n0,esk7_0)
| leq(n0,esk6_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_129,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_83]),c_0_84])]) ).
cnf(c_0_130,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_83]),c_0_84])]) ).
cnf(c_0_131,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_132,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_83]),c_0_84])]) ).
cnf(c_0_133,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_106,c_0_33])]) ).
cnf(c_0_134,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_135,negated_conjecture,
~ 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_109,c_0_47]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114]) ).
cnf(c_0_136,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[c_0_115,c_0_108]) ).
cnf(c_0_137,plain,
( epred2_0
| leq(esk5_0,n5)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_108]),c_0_39]) ).
cnf(c_0_138,plain,
( epred2_0
| leq(esk6_0,n5)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_108]),c_0_39]) ).
cnf(c_0_139,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_83]),c_0_84])]) ).
cnf(c_0_140,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[c_0_119,c_0_108]) ).
cnf(c_0_141,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[c_0_120,c_0_108]) ).
cnf(c_0_142,plain,
( epred2_0
| leq(esk5_0,n5)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_108]),c_0_39]) ).
cnf(c_0_143,plain,
( epred2_0
| leq(esk6_0,n5)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_108]),c_0_39]) ).
cnf(c_0_144,plain,
( leq(n0,esk8_0)
| epred2_0
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_145,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_83]),c_0_84])]) ).
cnf(c_0_146,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_83]),c_0_84])]) ).
cnf(c_0_147,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(esk5_0,n5) ),
inference(rw,[status(thm)],[c_0_125,c_0_39]) ).
cnf(c_0_148,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(esk6_0,n5) ),
inference(rw,[status(thm)],[c_0_126,c_0_39]) ).
cnf(c_0_149,plain,
( leq(n0,esk7_0)
| epred2_0
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_150,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(n0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_83]),c_0_84])]) ).
cnf(c_0_151,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_83]),c_0_84])]) ).
cnf(c_0_152,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(esk5_0,n5) ),
inference(rw,[status(thm)],[c_0_129,c_0_39]) ).
cnf(c_0_153,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(esk6_0,n5) ),
inference(rw,[status(thm)],[c_0_130,c_0_39]) ).
cnf(c_0_154,plain,
( epred2_0
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_155,plain,
( leq(n0,esk5_0)
| epred2_0
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_156,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_131,c_0_33])]) ).
cnf(c_0_157,plain,
( epred2_0
| leq(esk8_0,n2)
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[c_0_132,c_0_108]) ).
cnf(c_0_158,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_133,c_0_39]),c_0_39]) ).
cnf(c_0_159,plain,
( leq(esk8_0,n2)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_160,plain,
( leq(esk8_0,n2)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_161,plain,
( leq(esk8_0,n2)
| leq(esk5_0,n5) ),
inference(sr,[status(thm)],[c_0_137,c_0_135]) ).
cnf(c_0_162,plain,
( leq(esk8_0,n2)
| leq(esk6_0,n5) ),
inference(sr,[status(thm)],[c_0_138,c_0_135]) ).
cnf(c_0_163,plain,
( epred2_0
| leq(esk7_0,n2)
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[c_0_139,c_0_108]) ).
cnf(c_0_164,plain,
( leq(esk7_0,n2)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_140,c_0_135]) ).
cnf(c_0_165,plain,
( leq(esk7_0,n2)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_141,c_0_135]) ).
cnf(c_0_166,plain,
( leq(esk7_0,n2)
| leq(esk5_0,n5) ),
inference(sr,[status(thm)],[c_0_142,c_0_135]) ).
cnf(c_0_167,plain,
( leq(esk7_0,n2)
| leq(esk6_0,n5) ),
inference(sr,[status(thm)],[c_0_143,c_0_135]) ).
cnf(c_0_168,plain,
( epred2_0
| leq(n0,esk8_0)
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_83]),c_0_84])]) ).
cnf(c_0_169,plain,
( leq(n0,esk8_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_145,c_0_135]) ).
cnf(c_0_170,plain,
( leq(n0,esk8_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_146,c_0_135]) ).
cnf(c_0_171,plain,
( leq(esk5_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_147,c_0_135]) ).
cnf(c_0_172,plain,
( leq(esk6_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_148,c_0_135]) ).
cnf(c_0_173,plain,
( epred2_0
| leq(n0,esk7_0)
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_83]),c_0_84])]) ).
cnf(c_0_174,plain,
( leq(n0,esk7_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_150,c_0_135]) ).
cnf(c_0_175,plain,
( leq(n0,esk7_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_151,c_0_135]) ).
cnf(c_0_176,plain,
( leq(esk5_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_152,c_0_135]) ).
cnf(c_0_177,plain,
( leq(esk6_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_153,c_0_135]) ).
cnf(c_0_178,plain,
( epred2_0
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_83]),c_0_84])]) ).
cnf(c_0_179,plain,
( epred2_0
| leq(n0,esk5_0)
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_83]),c_0_84])]) ).
cnf(c_0_180,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_156,c_0_108]),c_0_108]) ).
cnf(c_0_181,plain,
leq(esk8_0,n2),
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_157,c_0_158]),c_0_135]),c_0_159]),c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_182,plain,
leq(esk7_0,n2),
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_163,c_0_158]),c_0_135]),c_0_164]),c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_183,plain,
leq(n0,esk8_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_168,c_0_158]),c_0_135]),c_0_169]),c_0_170]),c_0_171]),c_0_172]) ).
cnf(c_0_184,plain,
leq(n0,esk7_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_158]),c_0_135]),c_0_174]),c_0_175]),c_0_176]),c_0_177]) ).
cnf(c_0_185,plain,
( leq(n0,esk6_0)
| epred2_0
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_186,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| ~ leq(esk6_0,n5)
| ~ leq(esk5_0,n5)
| ~ leq(n0,esk6_0)
| ~ leq(n0,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_158]),c_0_135]) ).
cnf(c_0_187,plain,
leq(n0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]),c_0_183]),c_0_184])]),c_0_135]) ).
cnf(c_0_188,plain,
( epred2_0
| leq(n0,esk6_0)
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_83]),c_0_84])]) ).
cnf(c_0_189,plain,
( leq(esk5_0,minus(n6,n1))
| epred2_0
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_190,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| ~ leq(esk6_0,n5)
| ~ leq(esk5_0,n5)
| ~ leq(n0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_191,plain,
leq(n0,esk6_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_180]),c_0_181]),c_0_182]),c_0_183]),c_0_184])]),c_0_135]) ).
cnf(c_0_192,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_83]),c_0_84])]) ).
cnf(c_0_193,plain,
( leq(esk6_0,minus(n6,n1))
| epred2_0
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_194,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| ~ leq(esk6_0,n5)
| ~ leq(esk5_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]) ).
cnf(c_0_195,plain,
( epred2_0
| leq(esk5_0,n5)
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(rw,[status(thm)],[c_0_192,c_0_39]) ).
cnf(c_0_196,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_83]),c_0_84])]) ).
cnf(c_0_197,plain,
( ~ leq(esk6_0,n5)
| ~ leq(esk5_0,n5) ),
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_194,c_0_180]),c_0_182]),c_0_181]),c_0_184]),c_0_183])]) ).
cnf(c_0_198,plain,
leq(esk5_0,n5),
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_195,c_0_180]),c_0_181]),c_0_182]),c_0_183]),c_0_184])]),c_0_135]) ).
cnf(c_0_199,plain,
( epred2_0
| leq(esk6_0,n5)
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(rw,[status(thm)],[c_0_196,c_0_39]) ).
cnf(c_0_200,plain,
~ leq(esk6_0,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]) ).
cnf(c_0_201,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_199,c_0_180]),c_0_181]),c_0_182]),c_0_183]),c_0_184])]),c_0_135]),c_0_200]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 16:31:37 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Vp4lxhlljj/E---3.1_395.p
% 1.78/0.65 # Version: 3.1.0
% 1.78/0.65 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.78/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.78/0.65 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.78/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.78/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.78/0.65 # Starting sh5l with 300s (1) cores
% 1.78/0.65 # new_bool_1 with pid 480 completed with status 0
% 1.78/0.65 # Result found by new_bool_1
% 1.78/0.65 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.78/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.78/0.65 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.78/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.78/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.78/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.78/0.65 # Search class: FGHSM-FFMM31-DFFFFFNN
% 1.78/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.78/0.65 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 1.78/0.65 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 482 completed with status 0
% 1.78/0.65 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.78/0.65 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.78/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.78/0.65 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.78/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.78/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.78/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.78/0.65 # Search class: FGHSM-FFMM31-DFFFFFNN
% 1.78/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.78/0.65 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 1.78/0.65 # Preprocessing time : 0.002 s
% 1.78/0.65 # Presaturation interreduction done
% 1.78/0.65
% 1.78/0.65 # Proof found!
% 1.78/0.65 # SZS status Theorem
% 1.78/0.65 # SZS output start CNFRefutation
% See solution above
% 1.78/0.65 # Parsed axioms : 102
% 1.78/0.65 # Removed by relevancy pruning/SinE : 24
% 1.78/0.65 # Initial clauses : 137
% 1.78/0.65 # Removed in clause preprocessing : 0
% 1.78/0.65 # Initial clauses in saturation : 137
% 1.78/0.65 # Processed clauses : 4901
% 1.78/0.65 # ...of these trivial : 12
% 1.78/0.65 # ...subsumed : 3507
% 1.78/0.65 # ...remaining for further processing : 1381
% 1.78/0.65 # Other redundant clauses eliminated : 0
% 1.78/0.65 # Clauses deleted for lack of memory : 0
% 1.78/0.65 # Backward-subsumed : 145
% 1.78/0.65 # Backward-rewritten : 136
% 1.78/0.65 # Generated clauses : 11834
% 1.78/0.65 # ...of the previous two non-redundant : 9282
% 1.78/0.65 # ...aggressively subsumed : 0
% 1.78/0.65 # Contextual simplify-reflections : 57
% 1.78/0.65 # Paramodulations : 11768
% 1.78/0.65 # Factorizations : 2
% 1.78/0.65 # NegExts : 0
% 1.78/0.65 # Equation resolutions : 0
% 1.78/0.65 # Disequality decompositions : 0
% 1.78/0.65 # Total rewrite steps : 8343
% 1.78/0.65 # ...of those cached : 8052
% 1.78/0.65 # Propositional unsat checks : 0
% 1.78/0.65 # Propositional check models : 0
% 1.78/0.65 # Propositional check unsatisfiable : 0
% 1.78/0.65 # Propositional clauses : 0
% 1.78/0.65 # Propositional clauses after purity: 0
% 1.78/0.65 # Propositional unsat core size : 0
% 1.78/0.65 # Propositional preprocessing time : 0.000
% 1.78/0.65 # Propositional encoding time : 0.000
% 1.78/0.65 # Propositional solver time : 0.000
% 1.78/0.65 # Success case prop preproc time : 0.000
% 1.78/0.65 # Success case prop encoding time : 0.000
% 1.78/0.65 # Success case prop solver time : 0.000
% 1.78/0.65 # Current number of processed clauses : 899
% 1.78/0.65 # Positive orientable unit clauses : 192
% 1.78/0.65 # Positive unorientable unit clauses: 2
% 1.78/0.65 # Negative unit clauses : 278
% 1.78/0.65 # Non-unit-clauses : 427
% 1.78/0.65 # Current number of unprocessed clauses: 4584
% 1.78/0.65 # ...number of literals in the above : 12649
% 1.78/0.65 # Current number of archived formulas : 0
% 1.78/0.65 # Current number of archived clauses : 482
% 1.78/0.65 # Clause-clause subsumption calls (NU) : 37941
% 1.78/0.65 # Rec. Clause-clause subsumption calls : 30199
% 1.78/0.65 # Non-unit clause-clause subsumptions : 555
% 1.78/0.65 # Unit Clause-clause subsumption calls : 10533
% 1.78/0.65 # Rewrite failures with RHS unbound : 0
% 1.78/0.65 # BW rewrite match attempts : 59
% 1.78/0.65 # BW rewrite match successes : 46
% 1.78/0.65 # Condensation attempts : 0
% 1.78/0.65 # Condensation successes : 0
% 1.78/0.65 # Termbank termtop insertions : 112002
% 1.78/0.65 # Search garbage collected termcells : 1241
% 1.78/0.65
% 1.78/0.65 # -------------------------------------------------
% 1.78/0.65 # User time : 0.196 s
% 1.78/0.65 # System time : 0.008 s
% 1.78/0.65 # Total time : 0.204 s
% 1.78/0.65 # Maximum resident set size: 2248 pages
% 1.78/0.65
% 1.78/0.65 # -------------------------------------------------
% 1.78/0.65 # User time : 0.200 s
% 1.78/0.65 # System time : 0.009 s
% 1.78/0.65 # Total time : 0.209 s
% 1.78/0.65 # Maximum resident set size: 1892 pages
% 1.78/0.65 % E---3.1 exiting
% 1.78/0.65 % E exiting
%------------------------------------------------------------------------------