%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV116+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 : n008.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 05:20:52 PM UTC 2026
% Result : Theorem 15.20s 9.64s
% Output : CNFRefutation 15.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 174 ( 83 unt; 0 def)
% Number of atoms : 565 ( 134 equ)
% Maximal formula atoms : 75 ( 3 avg)
% Number of connectives : 528 ( 137 ~; 233 |; 125 &)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-3 aty)
% Number of variables : 131 ( 0 sgn 84 !; 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_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_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(quaternion_ds1_symm_0009,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) ) ) )
=> ( ! [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0009) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
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(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(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(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c_0_19,plain,
! [X326] : plus(X326,n2) = succ(succ(X326)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_20,plain,
! [X324] : plus(X324,n1) = succ(X324),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_21,plain,
! [X325] : plus(n1,X325) = succ(X325),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_22,plain,
! [X328] : plus(X328,n3) = succ(succ(succ(X328))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_23,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_27,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_28,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_29,plain,
( epred3_0
<=> ( ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
& ! [X19,X15] :
( ( leq(n0,X19)
& leq(n0,X15)
& leq(X19,minus(n3,n1))
& leq(X15,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
! [X330] : plus(X330,n4) = succ(succ(succ(succ(X330)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_31,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).
cnf(c_0_33,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
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_26,c_0_24]),c_0_24]) ).
cnf(c_0_36,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_27,c_0_24]) ).
fof(c_0_37,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_28]) ).
fof(c_0_38,negated_conjecture,
~ ( epred2_0
=> ( 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) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0009]),c_0_28]),c_0_29]) ).
fof(c_0_39,plain,
! [X332] : plus(X332,n5) = succ(succ(succ(succ(succ(X332))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
cnf(c_0_40,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,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_24]),c_0_24]),c_0_24]) ).
cnf(c_0_42,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[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_24]),c_0_24]),c_0_24]) ).
cnf(c_0_45,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_46,plain,
! [X392,X393,X394,X395,X396,X397,X398,X399,X400,X401] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X392)
| ~ leq(n0,X393)
| ~ leq(X392,minus(n6,n1))
| ~ leq(X393,minus(n6,n1))
| a_select3(q_ds1_filter,X392,X393) = a_select3(q_ds1_filter,X393,X392)
| ~ epred2_0 )
& ( ~ leq(n0,X394)
| ~ leq(n0,X395)
| ~ leq(X394,minus(n3,n1))
| ~ leq(X395,minus(n3,n1))
| a_select3(r_ds1_filter,X394,X395) = a_select3(r_ds1_filter,X395,X394)
| ~ epred2_0 )
& ( ~ leq(n0,X396)
| ~ leq(n0,X397)
| ~ leq(X396,minus(n6,n1))
| ~ leq(X397,minus(n6,n1))
| a_select3(pminus_ds1_filter,X396,X397) = a_select3(pminus_ds1_filter,X397,X396)
| ~ epred2_0 )
& ( ~ leq(n0,X398)
| ~ leq(n0,X399)
| ~ leq(X398,minus(n6,n1))
| ~ leq(X399,minus(n6,n1))
| a_select3(pminus_ds1_filter,X398,X399) = a_select3(pminus_ds1_filter,X399,X398)
| ~ epred2_0 )
& ( ~ leq(n0,X400)
| ~ leq(X400,minus(n6,n1))
| ~ leq(n0,X401)
| ~ leq(X401,minus(n6,n1))
| a_select3(id_ds1_filter,X400,X401) = a_select3(id_ds1_filter,X401,X400)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_47,negated_conjecture,
( epred2_0
& ( leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_48,plain,
! [X333] : plus(n5,X333) = succ(succ(succ(succ(succ(X333))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
cnf(c_0_49,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
plus(X1,n4) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_51,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_33]),c_0_42]),c_0_33]) ).
cnf(c_0_52,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_53,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_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_54,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_33]) ).
cnf(c_0_55,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_46]) ).
cnf(c_0_56,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_57,plain,
! [X224,X225,X226] :
( ~ leq(X224,X225)
| ~ leq(X225,X226)
| leq(X224,X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_58,plain,
! [X335] : pred(succ(X335)) = X335,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_59,plain,
! [X334] : minus(X334,n1) = pred(X334),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_60,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
plus(X1,n5) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_62,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_33]),c_0_42]),c_0_33]),c_0_51]),c_0_33]) ).
cnf(c_0_63,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_64,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_52,c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_65,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_53,c_0_36]),c_0_45]),c_0_33]),c_0_54]),c_0_33]) ).
cnf(c_0_66,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_55,c_0_56])]) ).
cnf(c_0_67,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_71,plain,
! [X327] : plus(n2,X327) = succ(succ(X327)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_72,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,plain,
plus(n5,X1) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_75,plain,
plus(n1,plus(X1,n4)) = plus(X1,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_61,c_0_33]),c_0_42]),c_0_33]),c_0_51]),c_0_33]),c_0_62]),c_0_33]) ).
cnf(c_0_76,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_63,c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_77,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_64,c_0_36]),c_0_45]),c_0_33]),c_0_54]),c_0_33]),c_0_65]),c_0_33]) ).
fof(c_0_78,plain,
( ( ! [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_29]) ).
cnf(c_0_79,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| ~ epred3_0
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( leq(X1,minus(n6,n1))
| ~ epred3_0
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_81,plain,
! [X223] : leq(X223,X223),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_82,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_83,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_46]) ).
cnf(c_0_84,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_24]),c_0_73]) ).
cnf(c_0_85,plain,
plus(X1,n5) = plus(n5,X1),
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_74,c_0_33]),c_0_42]),c_0_33]),c_0_51]),c_0_33]),c_0_62]),c_0_33]),c_0_75]) ).
cnf(c_0_86,plain,
plus(n1,n5) = 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)],[inference(rw,[status(thm)],[c_0_76,c_0_36]),c_0_45]),c_0_33]),c_0_54]),c_0_33]),c_0_65]),c_0_33]),c_0_77]),c_0_33]) ).
fof(c_0_87,plain,
( ( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| 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,esk30_0)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| 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,esk31_0)
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| 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(esk30_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 )
& ( leq(esk33_0,minus(n3,n1))
| 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(esk31_0,minus(n6,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)
| epred3_0 )
& ( leq(n0,esk33_0)
| a_select3(q_ds1_filter,esk30_0,esk31_0) != a_select3(q_ds1_filter,esk31_0,esk30_0)
| 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)
| 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)
| 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)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
cnf(c_0_88,negated_conjecture,
( a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_89,negated_conjecture,
( a_select3(pminus_ds1_filter,X1,esk25_0) = a_select3(pminus_ds1_filter,esk25_0,X1)
| ~ epred3_0
| ~ leq(n0,X1)
| ~ leq(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_92,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_24]),c_0_24]) ).
cnf(c_0_93,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_83,c_0_56])]) ).
cnf(c_0_94,plain,
minus(n6,n1) = n5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_95,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]),c_0_91]) ).
cnf(c_0_97,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,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_46]) ).
cnf(c_0_99,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_33]),c_0_42]) ).
cnf(c_0_100,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_101,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_102,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_103,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_93,c_0_94]),c_0_94]) ).
cnf(c_0_104,plain,
( leq(esk30_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_94]),c_0_96]) ).
cnf(c_0_105,plain,
( leq(esk31_0,n5)
| a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_94]),c_0_96]) ).
cnf(c_0_106,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_98,c_0_56])]) ).
cnf(c_0_107,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_99]),c_0_54]) ).
cnf(c_0_108,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_109,plain,
( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_110,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_100,c_0_96]) ).
cnf(c_0_111,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_101,c_0_96]) ).
cnf(c_0_112,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_113,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_114,plain,
( a_select3(r_ds1_filter,esk33_0,esk32_0) != a_select3(r_ds1_filter,esk32_0,esk33_0)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_96]),c_0_104]),c_0_105]) ).
cnf(c_0_115,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_106,c_0_107]),c_0_107]) ).
cnf(c_0_116,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_117,plain,
( leq(n0,esk30_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_108,c_0_96]) ).
cnf(c_0_118,plain,
( leq(n0,esk30_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_109,c_0_96]) ).
cnf(c_0_119,plain,
( leq(n0,esk30_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_110,c_0_107]) ).
cnf(c_0_120,plain,
( leq(n0,esk30_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_111,c_0_107]) ).
cnf(c_0_121,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_122,plain,
( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_123,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_112,c_0_96]) ).
cnf(c_0_124,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_113,c_0_96]) ).
cnf(c_0_125,plain,
( ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0)
| ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_126,plain,
leq(n0,esk30_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_116,c_0_115]),c_0_96]),c_0_117]),c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_127,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_128,plain,
( leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_121,c_0_96]) ).
cnf(c_0_129,plain,
( leq(n0,esk31_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_122,c_0_96]) ).
cnf(c_0_130,plain,
( leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_123,c_0_107]) ).
cnf(c_0_131,plain,
( leq(n0,esk31_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_124,c_0_107]) ).
cnf(c_0_132,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_133,plain,
( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_134,plain,
( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_135,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_136,plain,
( ~ leq(n0,esk31_0)
| ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).
cnf(c_0_137,plain,
leq(n0,esk31_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_127,c_0_115]),c_0_96]),c_0_128]),c_0_129]),c_0_130]),c_0_131]) ).
cnf(c_0_138,plain,
( leq(esk30_0,minus(n6,n1))
| leq(esk33_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_132,c_0_96]) ).
cnf(c_0_139,plain,
( leq(esk30_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_133,c_0_96]) ).
cnf(c_0_140,plain,
( leq(esk30_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_134,c_0_96]) ).
cnf(c_0_141,plain,
( leq(esk30_0,minus(n6,n1))
| leq(esk32_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_135,c_0_96]) ).
cnf(c_0_142,plain,
( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_143,plain,
( ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2)
| ~ leq(n0,esk32_0)
| ~ leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_144,plain,
( leq(esk33_0,n2)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_107]),c_0_94]) ).
cnf(c_0_145,plain,
( leq(n0,esk33_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_139,c_0_94]) ).
cnf(c_0_146,plain,
( leq(n0,esk32_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_140,c_0_94]) ).
cnf(c_0_147,plain,
( leq(esk32_0,n2)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_107]),c_0_94]) ).
cnf(c_0_148,plain,
( leq(esk31_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_142,c_0_96]) ).
cnf(c_0_149,plain,
( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_150,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_151,plain,
leq(esk30_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]),c_0_147]) ).
cnf(c_0_152,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_148,c_0_94]) ).
cnf(c_0_153,plain,
( leq(esk31_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_149,c_0_96]) ).
cnf(c_0_154,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_155,plain,
leq(n0,esk32_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_103]),c_0_96]),c_0_151]),c_0_137]),c_0_126])]),c_0_152]) ).
cnf(c_0_156,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_157,plain,
( leq(n0,esk33_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_153,c_0_94]) ).
cnf(c_0_158,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_159,plain,
( leq(esk31_0,minus(n6,n1))
| leq(esk33_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_154,c_0_96]) ).
cnf(c_0_160,plain,
( ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2)
| ~ leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_155])]) ).
cnf(c_0_161,plain,
leq(n0,esk33_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_103]),c_0_96]),c_0_151]),c_0_137]),c_0_126])]),c_0_157]) ).
cnf(c_0_162,plain,
( leq(esk33_0,n2)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_107]),c_0_96]) ).
cnf(c_0_163,plain,
( leq(esk33_0,n2)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_107]),c_0_94]) ).
cnf(c_0_164,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_165,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) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_166,plain,
( ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
cnf(c_0_167,plain,
leq(esk33_0,n2),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_103]),c_0_151]),c_0_137]),c_0_126])]),c_0_163]) ).
cnf(c_0_168,plain,
( leq(esk31_0,minus(n6,n1))
| leq(esk32_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_164,c_0_96]) ).
cnf(c_0_169,plain,
( leq(esk32_0,n2)
| a_select3(q_ds1_filter,esk31_0,esk30_0) != a_select3(q_ds1_filter,esk30_0,esk31_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_107]),c_0_96]) ).
cnf(c_0_170,plain,
~ leq(esk32_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_171,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_107]),c_0_94]) ).
cnf(c_0_172,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(spm,[status(thm)],[c_0_169,c_0_103]),c_0_151]),c_0_137]),c_0_126])]),c_0_170]) ).
cnf(c_0_173,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_171,c_0_170]),c_0_172]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV116+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
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:56:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 15.20/9.64 % Version : CSE_E---1.7
% 15.20/9.64 % Problem : theBenchmark.p
% 15.20/9.64 % SZS status Theorem for theBenchmark.p
% 15.20/9.64 % SZS output start CNFRefutation
% See solution above
% 15.20/9.69 % Total time : 7.387s
%------------------------------------------------------------------------------