TSTP Solution File: SWV115+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:43:28 EDT 2023
% Result : Theorem 29.73s 4.26s
% Output : CNFRefutation 29.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 213 ( 32 unt; 0 def)
% Number of atoms : 1096 ( 145 equ)
% Maximal formula atoms : 125 ( 5 avg)
% Number of connectives : 1268 ( 385 ~; 654 |; 185 &)
% ( 3 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 23 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn; 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_4) ).
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/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',quaternion_ds1_symm_0008) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',pred_minus_1) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_5) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/tmp/tmp.F5zXX5DMWQ/E---3.1_4972.p',successor_6) ).
cnf(c_0_9,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_10,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_11,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_12,plain,
succ(n1) = n2,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,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_14,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_15,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_16,plain,
succ(n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_12]) ).
fof(c_0_17,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_18,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_13]) ).
fof(c_0_19,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_13]),c_0_14]) ).
fof(c_0_20,plain,
! [X73] : pred(succ(X73)) = X73,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_21,plain,
! [X55] : minus(X55,n1) = pred(X55),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_22,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_23,plain,
succ(n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_10]),c_0_12]),c_0_16]) ).
fof(c_0_24,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_17]) ).
fof(c_0_25,plain,
! [X85,X86,X87,X88,X89,X90,X91,X92,X93,X94] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( ~ leq(n0,X85)
| ~ leq(n0,X86)
| ~ leq(X85,minus(n6,n1))
| ~ leq(X86,minus(n6,n1))
| a_select3(q_ds1_filter,X85,X86) = a_select3(q_ds1_filter,X86,X85)
| ~ epred1_0 )
& ( ~ leq(n0,X87)
| ~ leq(n0,X88)
| ~ leq(X87,minus(n3,n1))
| ~ leq(X88,minus(n3,n1))
| a_select3(r_ds1_filter,X87,X88) = a_select3(r_ds1_filter,X88,X87)
| ~ epred1_0 )
& ( ~ leq(n0,X89)
| ~ leq(n0,X90)
| ~ leq(X89,minus(n6,n1))
| ~ leq(X90,minus(n6,n1))
| a_select3(pminus_ds1_filter,X89,X90) = a_select3(pminus_ds1_filter,X90,X89)
| ~ epred1_0 )
& ( ~ leq(n0,X91)
| ~ leq(n0,X92)
| ~ leq(X91,minus(n6,n1))
| ~ leq(X92,minus(n6,n1))
| a_select3(pminus_ds1_filter,X91,X92) = a_select3(pminus_ds1_filter,X92,X91)
| ~ epred1_0 )
& ( ~ leq(n0,X93)
| ~ leq(X93,minus(n6,n1))
| ~ leq(n0,X94)
| ~ leq(X94,minus(n6,n1))
| a_select3(id_ds1_filter,X93,X94) = a_select3(id_ds1_filter,X94,X93)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_26,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_27,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
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_22,c_0_10]),c_0_12]),c_0_16]),c_0_23]) ).
fof(c_0_31,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_32,plain,
( leq(n0,pv5)
| ~ 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,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,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_36,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,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_10]),c_0_12]),c_0_16]),c_0_23]),c_0_30]) ).
cnf(c_0_38,plain,
( leq(esk3_0,minus(n6,n1))
| epred2_0
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_40,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_33])]) ).
cnf(c_0_41,plain,
( leq(esk4_0,minus(n6,n1))
| epred2_0
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( leq(n0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( leq(n0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( leq(n0,esk6_0)
| leq(esk3_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
( leq(n0,esk6_0)
| leq(esk4_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_46,plain,
( leq(esk5_0,minus(n3,n1))
| epred2_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)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
( leq(esk5_0,minus(n3,n1))
| leq(n0,esk3_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48,plain,
( leq(esk5_0,minus(n3,n1))
| leq(n0,esk4_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
( leq(esk5_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50,plain,
( leq(esk5_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
( leq(esk6_0,minus(n3,n1))
| epred2_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)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_52,plain,
( leq(esk6_0,minus(n3,n1))
| leq(n0,esk3_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,plain,
( leq(esk6_0,minus(n3,n1))
| leq(n0,esk4_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_54,plain,
( leq(esk6_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( leq(esk6_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_56,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n6,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_57,plain,
( 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)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,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_35,c_0_33])]) ).
cnf(c_0_59,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_60,plain,
( leq(n0,esk3_0)
| epred2_0
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_61,plain,
( leq(n0,esk4_0)
| epred2_0
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_62,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_38,c_0_39]),c_0_40])]) ).
cnf(c_0_63,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_41,c_0_39]),c_0_40])]) ).
cnf(c_0_64,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_65,plain,
( leq(n0,esk5_0)
| epred2_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)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_66,plain,
( leq(n0,esk5_0)
| leq(n0,esk3_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_67,plain,
( leq(n0,esk5_0)
| leq(n0,esk4_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_68,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_42,c_0_39]),c_0_40])]) ).
cnf(c_0_69,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_43,c_0_39]),c_0_40])]) ).
cnf(c_0_70,plain,
( leq(n0,esk6_0)
| epred2_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)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_71,plain,
( leq(n0,esk6_0)
| leq(n0,esk3_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_72,plain,
( leq(n0,esk6_0)
| leq(n0,esk4_0)
| epred2_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_73,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_44,c_0_39]),c_0_40])]) ).
cnf(c_0_74,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_45,c_0_39]),c_0_40])]) ).
cnf(c_0_75,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_46,c_0_39]),c_0_40])]) ).
cnf(c_0_76,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_36,c_0_16]) ).
cnf(c_0_77,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_47,c_0_39]),c_0_40])]) ).
cnf(c_0_78,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_48,c_0_39]),c_0_40])]) ).
cnf(c_0_79,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_49,c_0_39]),c_0_40])]) ).
cnf(c_0_80,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_50,c_0_39]),c_0_40])]) ).
cnf(c_0_81,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_51,c_0_39]),c_0_40])]) ).
cnf(c_0_82,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_52,c_0_39]),c_0_40])]) ).
cnf(c_0_83,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_53,c_0_39]),c_0_40])]) ).
cnf(c_0_84,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_54,c_0_39]),c_0_40])]) ).
cnf(c_0_85,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_55,c_0_39]),c_0_40])]) ).
fof(c_0_86,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_14]),c_0_17]) ).
cnf(c_0_87,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_88,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_56,c_0_33])]) ).
cnf(c_0_89,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_90,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_91,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_57,c_0_39]),c_0_40])]) ).
cnf(c_0_92,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_58,c_0_59]),c_0_59]) ).
cnf(c_0_93,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_60,c_0_39]),c_0_40])]) ).
cnf(c_0_94,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_61,c_0_39]),c_0_40])]) ).
cnf(c_0_95,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_62,c_0_59]) ).
cnf(c_0_96,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_63,c_0_59]) ).
cnf(c_0_97,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_33])]) ).
cnf(c_0_98,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_65,c_0_39]),c_0_40])]) ).
cnf(c_0_99,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_66,c_0_39]),c_0_40])]) ).
cnf(c_0_100,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_67,c_0_39]),c_0_40])]) ).
cnf(c_0_101,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[c_0_68,c_0_59]) ).
cnf(c_0_102,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[c_0_69,c_0_59]) ).
cnf(c_0_103,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_70,c_0_39]),c_0_40])]) ).
cnf(c_0_104,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_71,c_0_39]),c_0_40])]) ).
cnf(c_0_105,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_72,c_0_39]),c_0_40])]) ).
cnf(c_0_106,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[c_0_73,c_0_59]) ).
cnf(c_0_107,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[c_0_74,c_0_59]) ).
cnf(c_0_108,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_75,c_0_76]) ).
cnf(c_0_109,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_110,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[c_0_78,c_0_76]) ).
cnf(c_0_111,plain,
( epred2_0
| leq(esk3_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_76]),c_0_59]) ).
cnf(c_0_112,plain,
( epred2_0
| leq(esk4_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_76]),c_0_59]) ).
cnf(c_0_113,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_81,c_0_76]) ).
cnf(c_0_114,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[c_0_82,c_0_76]) ).
cnf(c_0_115,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[c_0_83,c_0_76]) ).
cnf(c_0_116,plain,
( epred2_0
| leq(esk3_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_76]),c_0_59]) ).
cnf(c_0_117,plain,
( epred2_0
| leq(esk4_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_76]),c_0_59]) ).
fof(c_0_118,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])]) ).
cnf(c_0_119,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_87,c_0_33])]) ).
cnf(c_0_120,negated_conjecture,
( a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_121,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_88,c_0_59]),c_0_59]) ).
cnf(c_0_122,negated_conjecture,
( leq(n0,esk1_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_123,negated_conjecture,
( leq(n0,esk2_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_124,negated_conjecture,
( leq(esk1_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_89,c_0_59]) ).
cnf(c_0_125,negated_conjecture,
( leq(esk2_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_90,c_0_59]) ).
cnf(c_0_126,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_91,c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_127,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_97,c_0_76]),c_0_76]) ).
cnf(c_0_128,plain,
( epred2_0
| leq(n0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_92]),c_0_99]),c_0_100]),c_0_101]),c_0_102]) ).
cnf(c_0_129,plain,
( epred2_0
| leq(n0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_92]),c_0_104]),c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_130,plain,
( epred2_0
| leq(esk5_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_131,plain,
( epred2_0
| leq(esk6_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_92]),c_0_114]),c_0_115]),c_0_116]),c_0_117]) ).
cnf(c_0_132,plain,
( leq(esk7_0,minus(n6,n1))
| epred3_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_133,plain,
( leq(esk8_0,minus(n6,n1))
| epred3_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_134,plain,
( leq(esk9_0,minus(n6,n1))
| epred3_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_135,plain,
( leq(esk10_0,minus(n6,n1))
| epred3_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_136,plain,
( 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 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_137,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_119,c_0_59]),c_0_59]) ).
cnf(c_0_138,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_120,c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_139,plain,
( leq(n0,esk7_0)
| epred3_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_140,plain,
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_127]),c_0_128]),c_0_129]),c_0_130]),c_0_131]) ).
cnf(c_0_141,plain,
( leq(n0,esk8_0)
| epred3_0
| a_select3(pminus_ds1_filter,esk9_0,esk10_0) != a_select3(pminus_ds1_filter,esk10_0,esk9_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_142,plain,
( leq(n0,esk9_0)
| epred3_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_143,plain,
( leq(n0,esk10_0)
| epred3_0
| a_select3(pminus_ds1_filter,esk7_0,esk8_0) != a_select3(pminus_ds1_filter,esk8_0,esk7_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_144,plain,
( epred3_0
| 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(rw,[status(thm)],[c_0_132,c_0_59]) ).
cnf(c_0_145,plain,
( epred3_0
| 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(rw,[status(thm)],[c_0_133,c_0_59]) ).
cnf(c_0_146,plain,
( epred3_0
| 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(rw,[status(thm)],[c_0_134,c_0_59]) ).
cnf(c_0_147,plain,
( epred3_0
| 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(rw,[status(thm)],[c_0_135,c_0_59]) ).
cnf(c_0_148,plain,
( a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0)
| ~ epred2_0
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_149,plain,
( leq(esk9_0,minus(n6,n1))
| leq(n0,esk7_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_150,plain,
( leq(esk10_0,minus(n6,n1))
| leq(n0,esk7_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_151,plain,
( leq(esk9_0,minus(n6,n1))
| leq(esk7_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_152,plain,
( leq(esk9_0,minus(n6,n1))
| leq(n0,esk8_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_153,plain,
( leq(esk10_0,minus(n6,n1))
| leq(esk7_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_154,plain,
( leq(esk9_0,minus(n6,n1))
| leq(esk8_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_155,plain,
( leq(esk10_0,minus(n6,n1))
| leq(esk8_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_156,plain,
( leq(esk10_0,minus(n6,n1))
| leq(n0,esk8_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_157,plain,
( leq(n0,esk9_0)
| leq(esk7_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_158,plain,
( leq(n0,esk9_0)
| leq(esk8_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_159,plain,
( leq(n0,esk10_0)
| leq(esk7_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_160,plain,
( leq(n0,esk10_0)
| leq(esk8_0,minus(n6,n1))
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_161,plain,
( leq(n0,esk7_0)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]),c_0_138]) ).
cnf(c_0_162,plain,
( leq(n0,esk8_0)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_140])]),c_0_138]) ).
cnf(c_0_163,plain,
( leq(n0,esk9_0)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_140])]),c_0_138]) ).
cnf(c_0_164,plain,
( leq(n0,esk10_0)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_140])]),c_0_138]) ).
cnf(c_0_165,plain,
( leq(esk7_0,n5)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_140])]),c_0_138]) ).
cnf(c_0_166,plain,
( leq(esk8_0,n5)
| a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_140])]),c_0_138]) ).
cnf(c_0_167,plain,
( leq(esk9_0,n5)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_140])]),c_0_138]) ).
cnf(c_0_168,plain,
( leq(esk10_0,n5)
| a_select3(pminus_ds1_filter,esk8_0,esk7_0) != a_select3(pminus_ds1_filter,esk7_0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_140])]),c_0_138]) ).
cnf(c_0_169,plain,
( a_select3(pminus_ds1_filter,esk10_0,esk9_0) != a_select3(pminus_ds1_filter,esk9_0,esk10_0)
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_140])]) ).
cnf(c_0_170,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_149,c_0_59]) ).
cnf(c_0_171,plain,
( epred3_0
| leq(n0,esk7_0)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_150,c_0_59]) ).
cnf(c_0_172,plain,
( epred3_0
| leq(esk7_0,n5)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_59]),c_0_59]) ).
cnf(c_0_173,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_152,c_0_59]) ).
cnf(c_0_174,plain,
( epred3_0
| leq(esk7_0,n5)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_59]),c_0_59]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(esk8_0,n5)
| leq(esk9_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_59]),c_0_59]) ).
cnf(c_0_176,plain,
( epred3_0
| leq(esk8_0,n5)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_59]),c_0_59]) ).
cnf(c_0_177,plain,
( epred3_0
| leq(n0,esk8_0)
| leq(esk10_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_156,c_0_59]) ).
cnf(c_0_178,plain,
( epred3_0
| leq(n0,esk9_0)
| leq(esk7_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_157,c_0_59]) ).
cnf(c_0_179,plain,
( epred3_0
| leq(n0,esk9_0)
| leq(esk8_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_158,c_0_59]) ).
cnf(c_0_180,plain,
( epred3_0
| leq(n0,esk10_0)
| leq(esk7_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_159,c_0_59]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(n0,esk10_0)
| leq(esk8_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_160,c_0_59]) ).
cnf(c_0_182,plain,
( leq(n0,esk9_0)
| leq(n0,esk7_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_183,plain,
( leq(n0,esk10_0)
| leq(n0,esk7_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_184,plain,
( leq(n0,esk9_0)
| leq(n0,esk8_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_185,plain,
( leq(n0,esk10_0)
| leq(n0,esk8_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_186,plain,
( 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_161,c_0_137]) ).
cnf(c_0_187,plain,
( leq(n0,esk8_0)
| ~ leq(esk9_0,n5)
| ~ leq(esk10_0,n5)
| ~ leq(n0,esk9_0)
| ~ leq(n0,esk10_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_137]) ).
cnf(c_0_188,plain,
( leq(n0,esk9_0)
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_137]) ).
cnf(c_0_189,plain,
( leq(n0,esk10_0)
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_137]) ).
cnf(c_0_190,plain,
( leq(esk7_0,n5)
| ~ leq(esk10_0,n5)
| ~ leq(esk9_0,n5)
| ~ leq(n0,esk10_0)
| ~ leq(n0,esk9_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_137]) ).
cnf(c_0_191,plain,
( leq(esk7_0,n5)
| ~ leq(esk9_0,n5)
| ~ leq(esk10_0,n5)
| ~ leq(n0,esk9_0)
| ~ leq(n0,esk10_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_137]) ).
cnf(c_0_192,plain,
( leq(esk8_0,n5)
| ~ leq(esk9_0,n5)
| ~ leq(esk10_0,n5)
| ~ leq(n0,esk9_0)
| ~ leq(n0,esk10_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_137]) ).
cnf(c_0_193,plain,
( leq(esk9_0,n5)
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_137]) ).
cnf(c_0_194,plain,
( leq(esk10_0,n5)
| ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(spm,[status(thm)],[c_0_168,c_0_137]) ).
cnf(c_0_195,plain,
( ~ leq(esk8_0,n5)
| ~ leq(esk7_0,n5)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0)
| ~ leq(esk9_0,n5)
| ~ leq(esk10_0,n5)
| ~ leq(n0,esk9_0)
| ~ leq(n0,esk10_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_137]) ).
cnf(c_0_196,plain,
( leq(esk9_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_140])]),c_0_138]) ).
cnf(c_0_197,plain,
( leq(esk10_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_140])]),c_0_138]) ).
cnf(c_0_198,plain,
( leq(esk9_0,n5)
| leq(esk7_0,n5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_140])]),c_0_138]) ).
cnf(c_0_199,plain,
( leq(esk9_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_140])]),c_0_138]) ).
cnf(c_0_200,plain,
( leq(esk10_0,n5)
| leq(esk7_0,n5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_140])]),c_0_138]) ).
cnf(c_0_201,plain,
( leq(esk9_0,n5)
| leq(esk8_0,n5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_140])]),c_0_138]) ).
cnf(c_0_202,plain,
( leq(esk10_0,n5)
| leq(esk8_0,n5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_140])]),c_0_138]) ).
cnf(c_0_203,plain,
( leq(esk10_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_140])]),c_0_138]) ).
cnf(c_0_204,plain,
( leq(esk7_0,n5)
| leq(n0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_140])]),c_0_138]) ).
cnf(c_0_205,plain,
( leq(esk8_0,n5)
| leq(n0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_140])]),c_0_138]) ).
cnf(c_0_206,plain,
( leq(esk7_0,n5)
| leq(n0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_140])]),c_0_138]) ).
cnf(c_0_207,plain,
( leq(esk8_0,n5)
| leq(n0,esk10_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_140])]),c_0_138]) ).
cnf(c_0_208,plain,
( leq(n0,esk9_0)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_140])]),c_0_138]) ).
cnf(c_0_209,plain,
( leq(n0,esk10_0)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_140])]),c_0_138]) ).
cnf(c_0_210,plain,
( leq(n0,esk9_0)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_140])]),c_0_138]) ).
cnf(c_0_211,plain,
( leq(n0,esk10_0)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_140])]),c_0_138]) ).
cnf(c_0_212,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_186,c_0_187,c_0_188,c_0_189,c_0_190,c_0_191,c_0_192,c_0_193,c_0_194,c_0_195,c_0_196,c_0_197,c_0_198,c_0_199,c_0_200,c_0_201,c_0_202,c_0_203,c_0_204,c_0_205,c_0_206,c_0_207,c_0_208,c_0_209,c_0_210,c_0_211]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 03:48:25 EDT 2023
% 0.12/0.32 % 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.F5zXX5DMWQ/E---3.1_4972.p
% 29.73/4.26 # Version: 3.1pre001
% 29.73/4.26 # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.73/4.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.73/4.26 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.73/4.26 # Starting new_bool_3 with 300s (1) cores
% 29.73/4.26 # Starting new_bool_1 with 300s (1) cores
% 29.73/4.26 # Starting sh5l with 300s (1) cores
% 29.73/4.26 # new_bool_3 with pid 5053 completed with status 0
% 29.73/4.26 # Result found by new_bool_3
% 29.73/4.26 # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.73/4.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.73/4.26 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.73/4.26 # Starting new_bool_3 with 300s (1) cores
% 29.73/4.26 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.73/4.26 # Search class: FGHSM-FSMM31-DFFFFFNN
% 29.73/4.26 # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 29.73/4.26 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 29.73/4.26 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 29.73/4.26 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 5056 completed with status 0
% 29.73/4.26 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 29.73/4.26 # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.73/4.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.73/4.26 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.73/4.26 # Starting new_bool_3 with 300s (1) cores
% 29.73/4.26 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.73/4.26 # Search class: FGHSM-FSMM31-DFFFFFNN
% 29.73/4.26 # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 29.73/4.26 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 29.73/4.26 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 29.73/4.26 # Preprocessing time : 0.002 s
% 29.73/4.26 # Presaturation interreduction done
% 29.73/4.26 # SatCheck found unsatisfiable ground set
% 29.73/4.26
% 29.73/4.26 # Proof found!
% 29.73/4.26 # SZS status Theorem
% 29.73/4.26 # SZS output start CNFRefutation
% See solution above
% 29.73/4.26 # Parsed axioms : 102
% 29.73/4.26 # Removed by relevancy pruning/SinE : 24
% 29.73/4.26 # Initial clauses : 143
% 29.73/4.26 # Removed in clause preprocessing : 0
% 29.73/4.26 # Initial clauses in saturation : 143
% 29.73/4.26 # Processed clauses : 47836
% 29.73/4.26 # ...of these trivial : 223
% 29.73/4.26 # ...subsumed : 42613
% 29.73/4.26 # ...remaining for further processing : 5000
% 29.73/4.26 # Other redundant clauses eliminated : 1
% 29.73/4.26 # Clauses deleted for lack of memory : 0
% 29.73/4.26 # Backward-subsumed : 241
% 29.73/4.26 # Backward-rewritten : 273
% 29.73/4.26 # Generated clauses : 260496
% 29.73/4.26 # ...of the previous two non-redundant : 197257
% 29.73/4.26 # ...aggressively subsumed : 0
% 29.73/4.26 # Contextual simplify-reflections : 47
% 29.73/4.26 # Paramodulations : 260434
% 29.73/4.26 # Factorizations : 61
% 29.73/4.26 # NegExts : 0
% 29.73/4.26 # Equation resolutions : 1
% 29.73/4.26 # Total rewrite steps : 221586
% 29.73/4.26 # Propositional unsat checks : 1
% 29.73/4.26 # Propositional check models : 0
% 29.73/4.26 # Propositional check unsatisfiable : 1
% 29.73/4.26 # Propositional clauses : 153089
% 29.73/4.26 # Propositional clauses after purity: 34812
% 29.73/4.26 # Propositional unsat core size : 26
% 29.73/4.26 # Propositional preprocessing time : 0.000
% 29.73/4.26 # Propositional encoding time : 0.140
% 29.73/4.26 # Propositional solver time : 0.087
% 29.73/4.26 # Success case prop preproc time : 0.000
% 29.73/4.26 # Success case prop encoding time : 0.140
% 29.73/4.26 # Success case prop solver time : 0.087
% 29.73/4.26 # Current number of processed clauses : 4344
% 29.73/4.26 # Positive orientable unit clauses : 299
% 29.73/4.26 # Positive unorientable unit clauses: 2
% 29.73/4.26 # Negative unit clauses : 507
% 29.73/4.26 # Non-unit-clauses : 3536
% 29.73/4.26 # Current number of unprocessed clauses: 148745
% 29.73/4.26 # ...number of literals in the above : 501919
% 29.73/4.26 # Current number of archived formulas : 0
% 29.73/4.26 # Current number of archived clauses : 656
% 29.73/4.26 # Clause-clause subsumption calls (NU) : 1752118
% 29.73/4.26 # Rec. Clause-clause subsumption calls : 1517973
% 29.73/4.26 # Non-unit clause-clause subsumptions : 11479
% 29.73/4.26 # Unit Clause-clause subsumption calls : 21161
% 29.73/4.26 # Rewrite failures with RHS unbound : 0
% 29.73/4.26 # BW rewrite match attempts : 324
% 29.73/4.26 # BW rewrite match successes : 49
% 29.73/4.26 # Condensation attempts : 0
% 29.73/4.26 # Condensation successes : 0
% 29.73/4.26 # Termbank termtop insertions : 3653510
% 29.73/4.26
% 29.73/4.26 # -------------------------------------------------
% 29.73/4.26 # User time : 3.608 s
% 29.73/4.26 # System time : 0.120 s
% 29.73/4.26 # Total time : 3.728 s
% 29.73/4.26 # Maximum resident set size: 2188 pages
% 29.73/4.26
% 29.73/4.26 # -------------------------------------------------
% 29.73/4.26 # User time : 3.610 s
% 29.73/4.26 # System time : 0.123 s
% 29.73/4.26 # Total time : 3.733 s
% 29.73/4.26 # Maximum resident set size: 1876 pages
% 29.73/4.26 % E---3.1 exiting
% 29.73/4.26 % E---3.1 exiting
%------------------------------------------------------------------------------