%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV115+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:20:51 PM UTC 2026
% Result : Theorem 22.87s 13.82s
% Output : CNFRefutation 22.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 258 ( 79 unt; 0 def)
% Number of atoms : 1109 ( 176 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1229 ( 378 ~; 620 |; 186 &)
% ( 3 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-3 aty)
% Number of variables : 144 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_3_l,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_l) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0008) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_6) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c_0_17,plain,
! [X334] : plus(X334,n2) = succ(succ(X334)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_18,plain,
! [X332] : plus(X332,n1) = succ(X332),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_19,plain,
! [X333] : plus(n1,X333) = succ(X333),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_20,plain,
! [X335] : plus(n2,X335) = succ(succ(X335)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_21,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X336] : plus(X336,n3) = succ(succ(succ(X336))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_25,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_26,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_27,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_29,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_30,plain,
! [X337] : plus(n3,X337) = succ(succ(succ(X337))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
cnf(c_0_31,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
( epred2_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_33,plain,
( epred4_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_34,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_35,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_22]),c_0_22]) ).
cnf(c_0_36,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_37,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_22]) ).
cnf(c_0_38,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_22]),c_0_22]),c_0_22]) ).
fof(c_0_41,plain,
( epred2_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_32]) ).
fof(c_0_42,negated_conjecture,
~ ( epred2_0
=> ( epred4_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_32]),c_0_33]) ).
cnf(c_0_43,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_44,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_45,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_29]),c_0_38]) ).
cnf(c_0_47,plain,
plus(n3,X1) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_48,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_29]),c_0_38]),c_0_29]) ).
fof(c_0_49,plain,
! [X400,X401,X402,X403,X404,X405,X406,X407,X408,X409] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X400)
| ~ leq(n0,X401)
| ~ leq(X400,minus(n6,n1))
| ~ leq(X401,minus(n6,n1))
| a_select3(q_ds1_filter,X400,X401) = a_select3(q_ds1_filter,X401,X400)
| ~ epred2_0 )
& ( ~ leq(n0,X402)
| ~ leq(n0,X403)
| ~ leq(X402,minus(n3,n1))
| ~ leq(X403,minus(n3,n1))
| a_select3(r_ds1_filter,X402,X403) = a_select3(r_ds1_filter,X403,X402)
| ~ epred2_0 )
& ( ~ leq(n0,X404)
| ~ leq(n0,X405)
| ~ leq(X404,minus(n6,n1))
| ~ leq(X405,minus(n6,n1))
| a_select3(pminus_ds1_filter,X404,X405) = a_select3(pminus_ds1_filter,X405,X404)
| ~ epred2_0 )
& ( ~ leq(n0,X406)
| ~ leq(n0,X407)
| ~ leq(X406,minus(n6,n1))
| ~ leq(X407,minus(n6,n1))
| a_select3(pminus_ds1_filter,X406,X407) = a_select3(pminus_ds1_filter,X407,X406)
| ~ epred2_0 )
& ( ~ leq(n0,X408)
| ~ leq(X408,minus(n6,n1))
| ~ leq(n0,X409)
| ~ leq(X409,minus(n6,n1))
| a_select3(id_ds1_filter,X408,X409) = a_select3(id_ds1_filter,X409,X408)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
fof(c_0_50,negated_conjecture,
( epred2_0
& ( leq(n0,esk24_0)
| ~ epred4_0 )
& ( leq(esk24_0,minus(n6,n1))
| ~ epred4_0 )
& ( leq(n0,esk25_0)
| ~ epred4_0 )
& ( leq(esk25_0,minus(n6,n1))
| ~ epred4_0 )
& ( a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0)
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
fof(c_0_51,plain,
! [X343] : pred(succ(X343)) = X343,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_52,plain,
! [X342] : minus(X342,n1) = pred(X342),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_53,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_54,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_43,c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_55,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_36]),c_0_45]),c_0_46]) ).
cnf(c_0_56,plain,
plus(X1,n3) = plus(n3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_29]),c_0_38]),c_0_29]),c_0_48]) ).
cnf(c_0_57,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_58,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))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_60,plain,
! [X232,X233,X234] :
( ~ leq(X232,X233)
| ~ leq(X233,X234)
| leq(X232,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_61,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,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_53,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_64,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_36]),c_0_45]),c_0_46]),c_0_55]),c_0_56]) ).
cnf(c_0_65,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_57,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
fof(c_0_66,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) ) ) ),
introduced(definition) ).
cnf(c_0_67,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_58,c_0_59])]) ).
cnf(c_0_68,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_70,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_22]),c_0_62]) ).
cnf(c_0_73,plain,
plus(n1,plus(n1,n4)) = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_36]),c_0_45]),c_0_46]),c_0_55]),c_0_56]),c_0_64]),c_0_29]),c_0_29]) ).
cnf(c_0_74,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[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_65,c_0_36]),c_0_45]),c_0_46]),c_0_55]),c_0_56]),c_0_64]),c_0_29]) ).
fof(c_0_75,plain,
( ( epred3_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) ) )
=> epred4_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_33]),c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( a_select3(id_ds1_filter,X1,esk25_0) = a_select3(id_ds1_filter,esk25_0,X1)
| ~ epred4_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_77,negated_conjecture,
( leq(X1,minus(n6,n1))
| ~ epred4_0
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_78,plain,
! [X231] : leq(X231,X231),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_79,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))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_80,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_72,c_0_29]) ).
cnf(c_0_81,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_82,plain,
( ( leq(n0,esk36_0)
| leq(n0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk37_0)
| leq(n0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk36_0,minus(n6,n1))
| leq(n0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk37_0,minus(n6,n1))
| leq(n0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| leq(n0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk36_0)
| leq(n0,esk35_0)
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk37_0)
| leq(n0,esk35_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk36_0,minus(n6,n1))
| leq(n0,esk35_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk37_0,minus(n6,n1))
| leq(n0,esk35_0)
| ~ epred3_0
| epred4_0 )
& ( a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| leq(n0,esk35_0)
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk36_0)
| leq(esk34_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk37_0)
| leq(esk34_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(esk36_0,minus(n6,n1))
| leq(esk34_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(esk37_0,minus(n6,n1))
| leq(esk34_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| leq(esk34_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk36_0)
| leq(esk35_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk37_0)
| leq(esk35_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(esk36_0,minus(n6,n1))
| leq(esk35_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(esk37_0,minus(n6,n1))
| leq(esk35_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| leq(esk35_0,minus(n6,n1))
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk36_0)
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(n0,esk37_0)
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk36_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( leq(esk37_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0
| epred4_0 )
& ( a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).
cnf(c_0_83,negated_conjecture,
( a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_84,negated_conjecture,
( a_select3(id_ds1_filter,X1,esk25_0) = a_select3(id_ds1_filter,esk25_0,X1)
| ~ epred4_0
| ~ leq(n0,X1)
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_86,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_87,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_79,c_0_59])]) ).
cnf(c_0_88,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,plain,
( leq(esk36_0,minus(n6,n1))
| leq(n0,esk34_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,negated_conjecture,
~ epred4_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_91,plain,
( leq(esk37_0,minus(n6,n1))
| leq(n0,esk34_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,plain,
( leq(n0,esk34_0)
| epred4_0
| a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,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_87,c_0_88]),c_0_88]) ).
cnf(c_0_94,plain,
( leq(n0,esk34_0)
| leq(esk36_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_88]),c_0_90]) ).
cnf(c_0_95,plain,
( leq(n0,esk34_0)
| leq(esk37_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_88]),c_0_90]) ).
cnf(c_0_96,plain,
( leq(n0,esk34_0)
| ~ epred3_0
| ~ leq(n0,esk37_0)
| ~ leq(n0,esk36_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_90]),c_0_94]),c_0_95]) ).
cnf(c_0_97,plain,
( leq(n0,esk37_0)
| leq(n0,esk34_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_98,plain,
( leq(esk34_0,minus(n6,n1))
| epred4_0
| a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,plain,
( leq(n0,esk36_0)
| leq(esk34_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_100,plain,
( leq(n0,esk37_0)
| leq(esk34_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_101,plain,
( leq(esk36_0,minus(n6,n1))
| leq(esk34_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_102,plain,
( leq(esk37_0,minus(n6,n1))
| leq(esk34_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_103,plain,
( leq(esk35_0,minus(n6,n1))
| epred4_0
| a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_104,plain,
( leq(n0,esk36_0)
| leq(esk35_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_105,plain,
( leq(n0,esk37_0)
| leq(esk35_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_106,plain,
( leq(esk36_0,minus(n6,n1))
| leq(esk35_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_107,plain,
( leq(esk37_0,minus(n6,n1))
| leq(esk35_0,minus(n6,n1))
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_108,plain,
( leq(n0,esk34_0)
| ~ epred3_0
| ~ leq(n0,esk36_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_90]) ).
cnf(c_0_109,plain,
( leq(n0,esk36_0)
| leq(n0,esk34_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_110,plain,
( leq(esk34_0,n5)
| a_select3(pminus_ds1_filter,esk37_0,esk36_0) != a_select3(pminus_ds1_filter,esk36_0,esk37_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_88]),c_0_90]) ).
cnf(c_0_111,plain,
( leq(n0,esk36_0)
| leq(esk34_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_88]),c_0_90]) ).
cnf(c_0_112,plain,
( leq(n0,esk37_0)
| leq(esk34_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_88]),c_0_90]) ).
cnf(c_0_113,plain,
( leq(esk34_0,n5)
| leq(esk36_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_88]),c_0_88]),c_0_90]) ).
cnf(c_0_114,plain,
( leq(esk34_0,n5)
| leq(esk37_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_88]),c_0_88]),c_0_90]) ).
cnf(c_0_115,plain,
( leq(esk35_0,n5)
| a_select3(pminus_ds1_filter,esk37_0,esk36_0) != a_select3(pminus_ds1_filter,esk36_0,esk37_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_88]),c_0_90]) ).
cnf(c_0_116,plain,
( leq(n0,esk36_0)
| leq(esk35_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_88]),c_0_90]) ).
cnf(c_0_117,plain,
( leq(n0,esk37_0)
| leq(esk35_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_88]),c_0_90]) ).
cnf(c_0_118,plain,
( leq(esk35_0,n5)
| leq(esk36_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_88]),c_0_88]),c_0_90]) ).
cnf(c_0_119,plain,
( leq(esk35_0,n5)
| leq(esk37_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_88]),c_0_88]),c_0_90]) ).
cnf(c_0_120,plain,
( epred4_0
| a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_121,plain,
( leq(esk37_0,minus(n6,n1))
| epred4_0
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_122,plain,
( leq(esk37_0,minus(n6,n1))
| leq(n0,esk35_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_123,plain,
( leq(n0,esk37_0)
| epred4_0
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
( leq(n0,esk34_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_90]) ).
cnf(c_0_125,plain,
( leq(esk34_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_93]),c_0_111]),c_0_112]),c_0_113]),c_0_114]) ).
cnf(c_0_126,plain,
( leq(esk35_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_93]),c_0_116]),c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_127,plain,
( leq(n0,esk36_0)
| epred4_0
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_128,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) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_66]) ).
cnf(c_0_129,plain,
( a_select3(pminus_ds1_filter,esk37_0,esk36_0) != a_select3(pminus_ds1_filter,esk36_0,esk37_0)
| ~ epred3_0
| ~ leq(n0,esk35_0)
| ~ leq(n0,esk34_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_93]),c_0_90]),c_0_110]),c_0_115]) ).
cnf(c_0_130,plain,
( leq(esk37_0,n5)
| a_select3(pminus_ds1_filter,esk35_0,esk34_0) != a_select3(pminus_ds1_filter,esk34_0,esk35_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_88]),c_0_90]) ).
cnf(c_0_131,plain,
( leq(n0,esk35_0)
| leq(esk37_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_88]),c_0_90]) ).
cnf(c_0_132,plain,
( leq(n0,esk37_0)
| ~ epred3_0
| ~ leq(n0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_93]),c_0_90]),c_0_124]),c_0_125]),c_0_126]) ).
cnf(c_0_133,plain,
( leq(n0,esk37_0)
| leq(n0,esk35_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_134,plain,
( leq(n0,esk36_0)
| ~ epred3_0
| ~ leq(n0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_93]),c_0_90]),c_0_124]),c_0_125]),c_0_126]) ).
cnf(c_0_135,plain,
( leq(n0,esk36_0)
| leq(n0,esk35_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_136,plain,
( leq(esk36_0,minus(n6,n1))
| epred4_0
| a_select3(pminus_ds1_filter,esk34_0,esk35_0) != a_select3(pminus_ds1_filter,esk35_0,esk34_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_137,plain,
( leq(esk36_0,minus(n6,n1))
| leq(n0,esk35_0)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_138,plain,
( ( leq(n0,esk32_0)
| leq(n0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk31_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk31_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])])]) ).
cnf(c_0_139,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_140,plain,
( leq(pv5,minus(n999,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_141,plain,
( ~ epred3_0
| ~ leq(n0,esk35_0)
| ~ leq(n0,esk34_0)
| ~ leq(esk36_0,n5)
| ~ leq(esk37_0,n5)
| ~ leq(n0,esk36_0)
| ~ leq(n0,esk37_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_93]) ).
cnf(c_0_142,plain,
( leq(esk37_0,n5)
| ~ epred3_0 ),
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_93]),c_0_124]),c_0_131]),c_0_125]),c_0_126]) ).
cnf(c_0_143,plain,
( leq(n0,esk37_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_90]) ).
cnf(c_0_144,plain,
( leq(n0,esk36_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_90]) ).
cnf(c_0_145,plain,
( leq(esk36_0,n5)
| a_select3(pminus_ds1_filter,esk35_0,esk34_0) != a_select3(pminus_ds1_filter,esk34_0,esk35_0)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_88]),c_0_90]) ).
cnf(c_0_146,plain,
( leq(n0,esk35_0)
| leq(esk36_0,n5)
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_88]),c_0_90]) ).
cnf(c_0_147,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_148,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_59])]) ).
cnf(c_0_149,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_59])]) ).
cnf(c_0_150,plain,
( ~ epred3_0
| ~ leq(n0,esk35_0)
| ~ leq(esk36_0,n5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144]),c_0_124]) ).
cnf(c_0_151,plain,
( leq(esk36_0,n5)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_93]),c_0_124]),c_0_146]),c_0_125]),c_0_126]) ).
cnf(c_0_152,plain,
( leq(n0,esk35_0)
| epred4_0
| a_select3(pminus_ds1_filter,esk36_0,esk37_0) != a_select3(pminus_ds1_filter,esk37_0,esk36_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_153,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_154,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_155,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_156,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_157,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_158,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_159,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_160,plain,
( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_161,plain,
( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_162,plain,
( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_163,plain,
( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_164,plain,
( leq(esk33_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_165,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))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_166,plain,
( epred3_0
| leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_167,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_80,c_0_55]) ).
cnf(c_0_168,plain,
( ~ epred3_0
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_169,plain,
( leq(n0,esk35_0)
| ~ epred3_0
| ~ leq(n0,esk37_0)
| ~ leq(n0,esk36_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_93]),c_0_90]),c_0_146]),c_0_131]) ).
cnf(c_0_170,plain,
( epred3_0
| leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_148]),c_0_149])]) ).
cnf(c_0_171,plain,
( epred3_0
| leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_148]),c_0_149])]) ).
cnf(c_0_172,plain,
( epred3_0
| leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_148]),c_0_149])]) ).
cnf(c_0_173,plain,
( leq(esk32_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_174,plain,
( epred3_0
| leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_148]),c_0_149])]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_148]),c_0_149])]) ).
cnf(c_0_176,plain,
( epred3_0
| leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_148]),c_0_149])]) ).
cnf(c_0_177,plain,
( epred3_0
| leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_148]),c_0_149])]) ).
cnf(c_0_178,plain,
( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_179,plain,
( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_180,plain,
( epred3_0
| leq(esk30_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_148]),c_0_149])]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(esk31_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_148]),c_0_149])]) ).
cnf(c_0_182,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_183,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_184,plain,
( epred3_0
| leq(esk30_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_148]),c_0_149])]) ).
cnf(c_0_185,plain,
( epred3_0
| leq(esk31_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_148]),c_0_149])]) ).
cnf(c_0_186,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))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_187,plain,
( epred3_0
| leq(esk33_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_148]),c_0_149])]) ).
cnf(c_0_188,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_165,c_0_59])]) ).
cnf(c_0_189,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_190,plain,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_144]),c_0_143]) ).
cnf(c_0_191,plain,
( epred3_0
| leq(n0,esk31_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_170,c_0_167]) ).
cnf(c_0_192,plain,
( epred3_0
| leq(esk30_0,n5)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_88]),c_0_167]) ).
cnf(c_0_193,plain,
( epred3_0
| leq(esk31_0,n5)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_88]),c_0_167]) ).
cnf(c_0_194,plain,
( epred3_0
| leq(esk32_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_148]),c_0_149])]) ).
cnf(c_0_195,plain,
( epred3_0
| leq(n0,esk30_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_174,c_0_167]) ).
cnf(c_0_196,plain,
( epred3_0
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_175,c_0_167]) ).
cnf(c_0_197,plain,
( epred3_0
| leq(esk30_0,n5)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_88]),c_0_167]) ).
cnf(c_0_198,plain,
( epred3_0
| leq(esk31_0,n5)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_88]),c_0_167]) ).
cnf(c_0_199,plain,
( leq(n0,esk33_0)
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_200,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_148]),c_0_149])]) ).
cnf(c_0_201,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_148]),c_0_149])]) ).
cnf(c_0_202,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_180,c_0_88]) ).
cnf(c_0_203,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_181,c_0_88]) ).
cnf(c_0_204,plain,
( leq(n0,esk32_0)
| epred3_0
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_205,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_148]),c_0_149])]) ).
cnf(c_0_206,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_148]),c_0_149])]) ).
cnf(c_0_207,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_184,c_0_88]) ).
cnf(c_0_208,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_185,c_0_88]) ).
cnf(c_0_209,plain,
( epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_210,plain,
( leq(n0,esk30_0)
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_211,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_186,c_0_59])]) ).
cnf(c_0_212,plain,
( epred3_0
| leq(esk33_0,n2)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(rw,[status(thm)],[c_0_187,c_0_167]) ).
cnf(c_0_213,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_188,c_0_88]),c_0_88]) ).
cnf(c_0_214,plain,
( leq(esk33_0,n2)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_215,plain,
( leq(esk33_0,n2)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_191,c_0_190]) ).
cnf(c_0_216,plain,
( leq(esk33_0,n2)
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[c_0_192,c_0_190]) ).
cnf(c_0_217,plain,
( leq(esk33_0,n2)
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[c_0_193,c_0_190]) ).
cnf(c_0_218,plain,
( epred3_0
| leq(esk32_0,n2)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(rw,[status(thm)],[c_0_194,c_0_167]) ).
cnf(c_0_219,plain,
( leq(esk32_0,n2)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_195,c_0_190]) ).
cnf(c_0_220,plain,
( leq(esk32_0,n2)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_196,c_0_190]) ).
cnf(c_0_221,plain,
( leq(esk32_0,n2)
| leq(esk30_0,n5) ),
inference(sr,[status(thm)],[c_0_197,c_0_190]) ).
cnf(c_0_222,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n5) ),
inference(sr,[status(thm)],[c_0_198,c_0_190]) ).
cnf(c_0_223,plain,
( epred3_0
| leq(n0,esk33_0)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_148]),c_0_149])]) ).
cnf(c_0_224,plain,
( leq(n0,esk30_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_200,c_0_190]) ).
cnf(c_0_225,plain,
( leq(n0,esk31_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_201,c_0_190]) ).
cnf(c_0_226,plain,
( leq(esk30_0,n5)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_202,c_0_190]) ).
cnf(c_0_227,plain,
( leq(esk31_0,n5)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_203,c_0_190]) ).
cnf(c_0_228,plain,
( epred3_0
| leq(n0,esk32_0)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_148]),c_0_149])]) ).
cnf(c_0_229,plain,
( leq(n0,esk30_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_205,c_0_190]) ).
cnf(c_0_230,plain,
( leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_206,c_0_190]) ).
cnf(c_0_231,plain,
( leq(esk30_0,n5)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_207,c_0_190]) ).
cnf(c_0_232,plain,
( leq(esk31_0,n5)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_208,c_0_190]) ).
cnf(c_0_233,plain,
( epred3_0
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_148]),c_0_149])]) ).
cnf(c_0_234,plain,
( epred3_0
| leq(n0,esk30_0)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_148]),c_0_149])]) ).
cnf(c_0_235,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_211,c_0_167]),c_0_167]) ).
cnf(c_0_236,plain,
leq(esk33_0,n2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_190]),c_0_214]),c_0_215]),c_0_216]),c_0_217]) ).
cnf(c_0_237,plain,
leq(esk32_0,n2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_213]),c_0_190]),c_0_219]),c_0_220]),c_0_221]),c_0_222]) ).
cnf(c_0_238,plain,
leq(n0,esk33_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_213]),c_0_190]),c_0_224]),c_0_225]),c_0_226]),c_0_227]) ).
cnf(c_0_239,plain,
leq(n0,esk32_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_213]),c_0_190]),c_0_229]),c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_240,plain,
( leq(n0,esk31_0)
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_241,plain,
( leq(esk30_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_242,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(esk31_0,n5)
| ~ leq(esk30_0,n5)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_213]),c_0_190]) ).
cnf(c_0_243,plain,
leq(n0,esk30_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_239])]),c_0_190]) ).
cnf(c_0_244,plain,
( epred3_0
| leq(n0,esk31_0)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_148]),c_0_149])]) ).
cnf(c_0_245,plain,
( epred3_0
| leq(esk30_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_148]),c_0_149])]) ).
cnf(c_0_246,plain,
( leq(esk31_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk32_0,esk33_0) != a_select3(r_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_247,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(esk31_0,n5)
| ~ leq(esk30_0,n5)
| ~ leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]) ).
cnf(c_0_248,plain,
leq(n0,esk31_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_239])]),c_0_190]) ).
cnf(c_0_249,plain,
( epred3_0
| leq(esk30_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_245,c_0_88]) ).
cnf(c_0_250,plain,
( epred3_0
| leq(esk31_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_148]),c_0_149])]) ).
cnf(c_0_251,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(esk31_0,n5)
| ~ leq(esk30_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248])]) ).
cnf(c_0_252,plain,
leq(esk30_0,n5),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_239])]),c_0_190]) ).
cnf(c_0_253,plain,
( epred3_0
| leq(esk31_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_250,c_0_88]) ).
cnf(c_0_254,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(esk31_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252])]) ).
cnf(c_0_255,plain,
leq(esk31_0,n5),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_239])]),c_0_190]) ).
cnf(c_0_256,plain,
a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]) ).
cnf(c_0_257,plain,
$false,
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_256,c_0_235]),c_0_237]),c_0_236]),c_0_239]),c_0_238])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV115+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:59:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 22.87/13.82 % Version : CSE_E---1.7
% 22.87/13.82 % Problem : theBenchmark.p
% 22.87/13.82 % SZS status Theorem for theBenchmark.p
% 22.87/13.82 % SZS output start CNFRefutation
% See solution above
% 22.87/13.89 % Total time : 10.436s
%------------------------------------------------------------------------------