TSTP Solution File: SWV112+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV112+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:15:15 EDT 2022
% Result : Theorem 0.16s 1.36s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 207 ( 52 unt; 0 def)
% Number of atoms : 930 ( 140 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1057 ( 334 ~; 523 |; 164 &)
% ( 2 <=>; 34 =>; 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 : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).
fof(quaternion_ds1_symm_0005,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) )
=> ( leq(n0,pv5)
& leq(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] :
( ( leq(n0,X32)
& leq(X32,minus(plus(n1,pv57),n1)) )
=> ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0005) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_4) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_5) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_6) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(c_0_11,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_12,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_13,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_15,plain,
( epred1_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( 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) ).
cnf(c_0_17,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_18,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_19,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
fof(c_0_20,plain,
( epred1_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,pv57)
& leq(X29,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv57,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_21,negated_conjecture,
~ ( epred1_0
=> ( 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] :
( ( leq(n0,X32)
& leq(X32,minus(plus(n1,pv57),n1)) )
=> ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0005]),c_0_15]),c_0_16]) ).
cnf(c_0_22,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_23,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_24,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,plain,
! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(n0,pv57)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( leq(pv57,minus(n6,n1))
| ~ epred1_0 )
& ( ~ leq(n0,X30)
| ~ leq(n0,X31)
| ~ leq(X30,minus(n6,n1))
| ~ leq(X31,minus(n6,n1))
| a_select3(q_ds1_filter,X30,X31) = a_select3(q_ds1_filter,X31,X30)
| ~ epred1_0 )
& ( ~ leq(n0,X32)
| ~ leq(n0,X33)
| ~ leq(X32,minus(n3,n1))
| ~ leq(X33,minus(n3,n1))
| a_select3(r_ds1_filter,X32,X33) = a_select3(r_ds1_filter,X33,X32)
| ~ epred1_0 )
& ( ~ leq(n0,X34)
| ~ leq(n0,X35)
| ~ leq(X34,minus(n6,n1))
| ~ leq(X35,minus(n6,n1))
| a_select3(pminus_ds1_filter,X34,X35) = a_select3(pminus_ds1_filter,X35,X34)
| ~ epred1_0 )
& ( ~ leq(n0,X36)
| ~ leq(n0,X37)
| ~ leq(X36,pv57)
| ~ leq(X37,minus(n6,n1))
| a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36)
| ~ epred1_0 )
& ( ~ leq(n0,X38)
| ~ leq(X38,minus(pv57,n1))
| ~ leq(n0,X39)
| ~ leq(X39,minus(n6,n1))
| a_select3(id_ds1_filter,X38,X39) = a_select3(id_ds1_filter,X39,X38)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).
fof(c_0_26,negated_conjecture,
( epred1_0
& ( leq(n0,esk3_0)
| leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(esk3_0,minus(plus(n1,pv57),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(plus(n1,pv57),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(plus(n1,pv57),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(plus(n1,pv57),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(plus(n1,pv57),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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
cnf(c_0_27,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_28,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_13]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_29,plain,
plus(n2,n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19]),c_0_24]) ).
cnf(c_0_30,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_33,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_34,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_35,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_13]),c_0_13]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_36,plain,
plus(n3,n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_19]),c_0_24]),c_0_29]) ).
fof(c_0_37,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_38,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,pv57)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( leq(n0,esk3_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,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_30,c_0_31])]) ).
cnf(c_0_41,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( leq(n0,esk2_0)
| leq(n0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| leq(n0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| leq(n0,esk3_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,negated_conjecture,
( leq(n0,esk4_0)
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_46,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk4_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,negated_conjecture,
( leq(n0,esk2_0)
| leq(n0,esk4_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| leq(n0,esk4_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| leq(n0,esk4_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_50,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_52,plain,
plus(plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_13]),c_0_13]),c_0_13]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_53,plain,
plus(n4,n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_19]),c_0_24]),c_0_29]),c_0_36]) ).
cnf(c_0_54,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,negated_conjecture,
( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,pv57)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_31])]) ).
cnf(c_0_57,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_39,c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_58,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_45,c_0_40]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( leq(esk4_0,minus(n6,n1))
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_60,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_13]),c_0_51]) ).
cnf(c_0_61,plain,
plus(n5,n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_19]),c_0_24]),c_0_29]),c_0_36]),c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( leq(esk3_0,minus(plus(n1,pv57),n1))
| ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_63,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_54,c_0_13]) ).
cnf(c_0_64,negated_conjecture,
( a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
| ~ epred2_0
| ~ leq(esk3_0,pv57) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_65,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_60]),c_0_64]) ).
cnf(c_0_67,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_65]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk4_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk4_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_70,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| leq(esk4_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| leq(esk4_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_72,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk3_0,minus(plus(n1,pv57),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_73,negated_conjecture,
( ~ epred2_0
| ~ leq(esk2_0,n5)
| ~ leq(esk1_0,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_68,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[c_0_69,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( leq(esk1_0,n5)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_65]),c_0_65]) ).
cnf(c_0_77,negated_conjecture,
( leq(esk2_0,n5)
| leq(esk4_0,n5)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_65]),c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(plus(n1,pv57),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_79,negated_conjecture,
( leq(n0,esk2_0)
| ~ epred2_0
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_80,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,pv57)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_56,c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( leq(n0,esk2_0)
| leq(esk3_0,pv57)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_63]),c_0_60]) ).
cnf(c_0_82,negated_conjecture,
( leq(esk4_0,n5)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( leq(n0,esk1_0)
| ~ epred2_0
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,pv57)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_63]),c_0_60]) ).
fof(c_0_85,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_16]) ).
cnf(c_0_86,negated_conjecture,
( leq(n0,esk2_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_79,c_0_80]),c_0_57]),c_0_58]),c_0_81]),c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( leq(n0,esk1_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_83,c_0_80]),c_0_57]),c_0_58]),c_0_84]),c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| leq(esk3_0,minus(plus(n1,pv57),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_89,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| leq(esk3_0,minus(plus(n1,pv57),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_90,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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])])])]) ).
cnf(c_0_91,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_92,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_93,negated_conjecture,
( 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) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_94,negated_conjecture,
( ~ epred2_0
| ~ leq(esk2_0,n5)
| ~ leq(esk1_0,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_86]),c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( leq(esk2_0,n5)
| leq(esk3_0,pv57)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_63]),c_0_60]),c_0_65]) ).
cnf(c_0_96,negated_conjecture,
( leq(esk1_0,n5)
| leq(esk3_0,pv57)
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_63]),c_0_60]),c_0_65]) ).
cnf(c_0_97,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_98,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_99,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_31])]) ).
cnf(c_0_100,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_31])]) ).
cnf(c_0_101,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,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_93,c_0_65]) ).
cnf(c_0_103,negated_conjecture,
( leq(esk3_0,pv57)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_104,plain,
( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_105,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_97,c_0_31])]) ).
cnf(c_0_106,plain,
( epred2_0
| leq(n0,esk5_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_107,plain,
( epred2_0
| leq(n0,esk6_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_108,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_98,c_0_99]),c_0_100])]) ).
cnf(c_0_109,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_101,c_0_99]),c_0_100])]) ).
cnf(c_0_110,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_111,negated_conjecture,
( 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) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_112,negated_conjecture,
( leq(esk2_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_102,c_0_80]),c_0_57]),c_0_58]),c_0_103]),c_0_82]) ).
cnf(c_0_113,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk8_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_114,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk7_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_115,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_116,plain,
( epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_117,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk8_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_118,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk7_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_119,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_120,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk7_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_121,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk8_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_122,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_104,c_0_99]),c_0_100])]) ).
cnf(c_0_123,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_105,c_0_65]),c_0_65]) ).
cnf(c_0_124,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_106,c_0_99]),c_0_100])]) ).
cnf(c_0_125,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_107,c_0_99]),c_0_100])]) ).
cnf(c_0_126,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_108,c_0_65]) ).
cnf(c_0_127,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_109,c_0_65]) ).
cnf(c_0_128,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_110,c_0_31])]) ).
cnf(c_0_129,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_60,c_0_29]) ).
cnf(c_0_130,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_111,c_0_65]) ).
cnf(c_0_131,negated_conjecture,
( ~ epred2_0
| ~ leq(esk1_0,n5) ),
inference(spm,[status(thm)],[c_0_94,c_0_112]) ).
cnf(c_0_132,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_113,c_0_99]),c_0_100])]) ).
cnf(c_0_133,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_114,c_0_99]),c_0_100])]) ).
cnf(c_0_134,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_115,c_0_99]),c_0_100])]) ).
cnf(c_0_135,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_116,c_0_99]),c_0_100])]) ).
cnf(c_0_136,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_117,c_0_99]),c_0_100])]) ).
cnf(c_0_137,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_118,c_0_99]),c_0_100])]) ).
cnf(c_0_138,plain,
( epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_139,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_119,c_0_99]),c_0_100])]) ).
cnf(c_0_140,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk8_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_141,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(n0,esk7_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_142,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_120,c_0_99]),c_0_100])]) ).
cnf(c_0_143,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_121,c_0_99]),c_0_100])]) ).
cnf(c_0_144,plain,
( epred2_0
| a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127]) ).
cnf(c_0_145,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_128,c_0_129]),c_0_129]) ).
cnf(c_0_146,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_130,c_0_80]),c_0_57]),c_0_58]),c_0_103]),c_0_82]),c_0_131]) ).
cnf(c_0_147,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(esk6_0,n5) ),
inference(rw,[status(thm)],[c_0_132,c_0_65]) ).
cnf(c_0_148,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(esk6_0,n5) ),
inference(rw,[status(thm)],[c_0_133,c_0_65]) ).
cnf(c_0_149,plain,
( epred2_0
| leq(esk6_0,n5)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_65]),c_0_129]) ).
cnf(c_0_150,plain,
( epred2_0
| leq(esk6_0,n5)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_65]),c_0_129]) ).
cnf(c_0_151,plain,
( epred2_0
| leq(n0,esk8_0)
| leq(esk5_0,n5) ),
inference(rw,[status(thm)],[c_0_136,c_0_65]) ).
cnf(c_0_152,plain,
( epred2_0
| leq(n0,esk7_0)
| leq(esk5_0,n5) ),
inference(rw,[status(thm)],[c_0_137,c_0_65]) ).
cnf(c_0_153,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_138,c_0_99]),c_0_100])]) ).
cnf(c_0_154,plain,
( epred2_0
| leq(esk5_0,n5)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_65]),c_0_129]) ).
cnf(c_0_155,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_140,c_0_99]),c_0_100])]) ).
cnf(c_0_156,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_141,c_0_99]),c_0_100])]) ).
cnf(c_0_157,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[c_0_142,c_0_129]) ).
cnf(c_0_158,plain,
( epred2_0
| leq(n0,esk5_0)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[c_0_143,c_0_129]) ).
cnf(c_0_159,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk7_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_160,plain,
( epred2_0
| leq(n0,esk7_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_161,plain,
( ~ leq(esk8_0,n2)
| ~ leq(esk7_0,n2)
| ~ leq(n0,esk8_0)
| ~ leq(n0,esk7_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_162,plain,
( leq(esk6_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_147,c_0_146]) ).
cnf(c_0_163,plain,
( leq(esk6_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_148,c_0_146]) ).
cnf(c_0_164,plain,
( leq(esk7_0,n2)
| leq(esk6_0,n5) ),
inference(sr,[status(thm)],[c_0_149,c_0_146]) ).
cnf(c_0_165,plain,
( leq(esk8_0,n2)
| leq(esk6_0,n5) ),
inference(sr,[status(thm)],[c_0_150,c_0_146]) ).
cnf(c_0_166,plain,
( leq(esk5_0,n5)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_151,c_0_146]) ).
cnf(c_0_167,plain,
( leq(esk5_0,n5)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_152,c_0_146]) ).
cnf(c_0_168,plain,
( leq(esk5_0,n5)
| leq(esk7_0,n2) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_65]),c_0_129]),c_0_146]) ).
cnf(c_0_169,plain,
( leq(esk8_0,n2)
| leq(esk5_0,n5) ),
inference(sr,[status(thm)],[c_0_154,c_0_146]) ).
cnf(c_0_170,plain,
( leq(n0,esk5_0)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_155,c_0_146]) ).
cnf(c_0_171,plain,
( leq(n0,esk5_0)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_156,c_0_146]) ).
cnf(c_0_172,plain,
( leq(esk7_0,n2)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_157,c_0_146]) ).
cnf(c_0_173,plain,
( leq(esk8_0,n2)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_158,c_0_146]) ).
cnf(c_0_174,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_159,c_0_99]),c_0_100])]) ).
cnf(c_0_175,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(n0,esk8_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_176,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk8_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_177,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_160,c_0_99]),c_0_100])]) ).
cnf(c_0_178,plain,
leq(esk6_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).
cnf(c_0_179,plain,
leq(esk5_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_166]),c_0_167]),c_0_168]),c_0_169]) ).
cnf(c_0_180,plain,
leq(n0,esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_170]),c_0_171]),c_0_172]),c_0_173]) ).
cnf(c_0_181,plain,
( leq(n0,esk6_0)
| leq(n0,esk7_0) ),
inference(sr,[status(thm)],[c_0_174,c_0_146]) ).
cnf(c_0_182,plain,
( epred2_0
| leq(n0,esk8_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_183,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_175,c_0_99]),c_0_100])]) ).
cnf(c_0_184,plain,
( epred2_0
| leq(esk8_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_185,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_176,c_0_99]),c_0_100])]) ).
cnf(c_0_186,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk7_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_187,plain,
leq(n0,esk7_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_123]),c_0_178]),c_0_179]),c_0_180])]),c_0_146]),c_0_181]) ).
cnf(c_0_188,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_182,c_0_99]),c_0_100])]) ).
cnf(c_0_189,plain,
( leq(n0,esk6_0)
| leq(n0,esk8_0) ),
inference(sr,[status(thm)],[c_0_183,c_0_146]) ).
cnf(c_0_190,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_184,c_0_99]),c_0_100])]) ).
cnf(c_0_191,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk8_0,n2) ),
inference(rw,[status(thm)],[c_0_185,c_0_129]) ).
cnf(c_0_192,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_186,c_0_99]),c_0_100])]) ).
cnf(c_0_193,plain,
( ~ leq(esk8_0,n2)
| ~ leq(esk7_0,n2)
| ~ leq(n0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_187])]) ).
cnf(c_0_194,plain,
leq(n0,esk8_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_123]),c_0_178]),c_0_179]),c_0_180])]),c_0_146]),c_0_189]) ).
cnf(c_0_195,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_190,c_0_129]) ).
cnf(c_0_196,plain,
( leq(esk8_0,n2)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_191,c_0_146]) ).
cnf(c_0_197,plain,
( epred2_0
| leq(esk7_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_198,plain,
( epred2_0
| leq(n0,esk6_0)
| leq(esk7_0,n2) ),
inference(rw,[status(thm)],[c_0_192,c_0_129]) ).
cnf(c_0_199,plain,
( ~ leq(esk8_0,n2)
| ~ leq(esk7_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).
cnf(c_0_200,plain,
leq(esk8_0,n2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_123]),c_0_178]),c_0_179]),c_0_180])]),c_0_146]),c_0_196]) ).
cnf(c_0_201,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_197,c_0_99]),c_0_100])]) ).
cnf(c_0_202,plain,
( leq(esk7_0,n2)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_198,c_0_146]) ).
cnf(c_0_203,plain,
~ leq(esk7_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).
cnf(c_0_204,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_201,c_0_129]) ).
cnf(c_0_205,plain,
leq(n0,esk6_0),
inference(sr,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_206,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_204,c_0_123]),c_0_178]),c_0_179]),c_0_205]),c_0_180])]),c_0_146]),c_0_203]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV112+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : run_ET %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 20:11:28 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.16/1.36 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.16/1.36 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.16/1.36 # Preprocessing time : 0.018 s
% 0.16/1.36
% 0.16/1.36 # Proof found!
% 0.16/1.36 # SZS status Theorem
% 0.16/1.36 # SZS output start CNFRefutation
% See solution above
% 0.16/1.36 # Proof object total steps : 207
% 0.16/1.36 # Proof object clause steps : 184
% 0.16/1.36 # Proof object formula steps : 23
% 0.16/1.36 # Proof object conjectures : 52
% 0.16/1.36 # Proof object clause conjectures : 49
% 0.16/1.36 # Proof object formula conjectures : 3
% 0.16/1.36 # Proof object initial clauses used : 67
% 0.16/1.36 # Proof object initial formulas used : 11
% 0.16/1.36 # Proof object generating inferences : 23
% 0.16/1.36 # Proof object simplifying inferences : 269
% 0.16/1.36 # Training examples: 0 positive, 0 negative
% 0.16/1.36 # Parsed axioms : 102
% 0.16/1.36 # Removed by relevancy pruning/SinE : 24
% 0.16/1.36 # Initial clauses : 140
% 0.16/1.36 # Removed in clause preprocessing : 2
% 0.16/1.36 # Initial clauses in saturation : 138
% 0.16/1.36 # Processed clauses : 1131
% 0.16/1.36 # ...of these trivial : 48
% 0.16/1.36 # ...subsumed : 380
% 0.16/1.36 # ...remaining for further processing : 702
% 0.16/1.36 # Other redundant clauses eliminated : 0
% 0.16/1.36 # Clauses deleted for lack of memory : 0
% 0.16/1.36 # Backward-subsumed : 89
% 0.16/1.36 # Backward-rewritten : 111
% 0.16/1.36 # Generated clauses : 4121
% 0.16/1.36 # ...of the previous two non-trivial : 3351
% 0.16/1.36 # Contextual simplify-reflections : 190
% 0.16/1.36 # Paramodulations : 4095
% 0.16/1.36 # Factorizations : 6
% 0.16/1.36 # Equation resolutions : 0
% 0.16/1.36 # Current number of processed clauses : 482
% 0.16/1.36 # Positive orientable unit clauses : 145
% 0.16/1.36 # Positive unorientable unit clauses: 3
% 0.16/1.36 # Negative unit clauses : 82
% 0.16/1.36 # Non-unit-clauses : 252
% 0.16/1.36 # Current number of unprocessed clauses: 1491
% 0.16/1.36 # ...number of literals in the above : 7389
% 0.16/1.36 # Current number of archived formulas : 0
% 0.16/1.36 # Current number of archived clauses : 222
% 0.16/1.36 # Clause-clause subsumption calls (NU) : 17434
% 0.16/1.36 # Rec. Clause-clause subsumption calls : 8255
% 0.16/1.36 # Non-unit clause-clause subsumptions : 422
% 0.16/1.36 # Unit Clause-clause subsumption calls : 3535
% 0.16/1.36 # Rewrite failures with RHS unbound : 0
% 0.16/1.36 # BW rewrite match attempts : 63
% 0.16/1.36 # BW rewrite match successes : 61
% 0.16/1.36 # Condensation attempts : 0
% 0.16/1.36 # Condensation successes : 0
% 0.16/1.36 # Termbank termtop insertions : 43607
% 0.16/1.36
% 0.16/1.36 # -------------------------------------------------
% 0.16/1.36 # User time : 0.228 s
% 0.16/1.36 # System time : 0.003 s
% 0.16/1.36 # Total time : 0.231 s
% 0.16/1.36 # Maximum resident set size: 5900 pages
% 0.16/23.35 eprover: CPU time limit exceeded, terminating
% 0.16/23.35 eprover: CPU time limit exceeded, terminating
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.41 eprover: No such file or directory
% 0.16/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.41 eprover: No such file or directory
% 0.16/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.41 eprover: No such file or directory
% 0.16/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.41 eprover: No such file or directory
% 0.16/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.42 eprover: No such file or directory
% 0.16/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.42 eprover: No such file or directory
%------------------------------------------------------------------------------