TSTP Solution File: SWV114+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV114+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:15:15 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 241 ( 98 unt; 0 def)
% Number of atoms : 885 ( 165 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 932 ( 288 ~; 475 |; 136 &)
% ( 3 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 160 ( 2 sgn 92 !; 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/solver/bin/../tmp/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/solver/bin/../tmp/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/solver/bin/../tmp/theBenchmark.p',successor_3) ).
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/solver/bin/../tmp/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/solver/bin/../tmp/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_symm_0007,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) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n0,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',quaternion_ds1_symm_0007) ).
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/solver/bin/../tmp/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(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
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(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',finite_domain_1) ).
fof(c_0_26,plain,
! [X2] : plus(X2,n2) = succ(succ(X2)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_27,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_28,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_29,plain,
! [X2] : plus(X2,n3) = succ(succ(succ(X2))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_30,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_34,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_35,plain,
! [X2] : plus(X2,n4) = succ(succ(succ(succ(X2)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_36,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_38,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_39,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_40,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_31]),c_0_31]) ).
cnf(c_0_41,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_34,c_0_31]) ).
fof(c_0_42,plain,
! [X2] : plus(X2,n5) = succ(succ(succ(succ(succ(X2))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
cnf(c_0_43,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,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_36,c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_45,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_47,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_48,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_49,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) ) ) ),
introduced(definition) ).
fof(c_0_50,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) ) ) ),
introduced(definition) ).
fof(c_0_51,plain,
! [X2] : plus(n5,X2) = succ(succ(succ(succ(succ(X2))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
cnf(c_0_52,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,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_43,c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_54,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_38]),c_0_45]),c_0_38]) ).
cnf(c_0_55,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_56,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_46,c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_57,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_41]),c_0_48]),c_0_38]) ).
fof(c_0_58,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) ) ) ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
fof(c_0_59,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n0,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0007]),c_0_49]),c_0_50]) ).
fof(c_0_60,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_61,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_62,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,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_52,c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_64,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_53,c_0_38]),c_0_45]),c_0_38]),c_0_54]),c_0_38]) ).
cnf(c_0_65,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_66,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_55,c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_67,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_56,c_0_41]),c_0_48]),c_0_38]),c_0_57]),c_0_38]) ).
fof(c_0_68,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_50]) ).
fof(c_0_69,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,minus(n6,n1))
| ~ leq(X24,minus(n6,n1))
| a_select3(q_ds1_filter,X23,X24) = a_select3(q_ds1_filter,X24,X23)
| ~ epred2_0 )
& ( ~ leq(n0,X25)
| ~ leq(n0,X26)
| ~ leq(X25,minus(n3,n1))
| ~ leq(X26,minus(n3,n1))
| a_select3(r_ds1_filter,X25,X26) = a_select3(r_ds1_filter,X26,X25)
| ~ epred2_0 )
& ( ~ leq(n0,X27)
| ~ leq(n0,X28)
| ~ leq(X27,minus(n6,n1))
| ~ leq(X28,minus(n6,n1))
| a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])])]) ).
fof(c_0_70,negated_conjecture,
( epred2_0
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])])])]) ).
fof(c_0_71,plain,
! [X2] : plus(n2,X2) = succ(succ(X2)),
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_60]) ).
cnf(c_0_73,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
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_62,c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
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_63,c_0_38]),c_0_45]),c_0_38]),c_0_54]),c_0_38]),c_0_64]),c_0_38]) ).
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_65,c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
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_66,c_0_41]),c_0_48]),c_0_38]),c_0_57]),c_0_38]),c_0_67]),c_0_38]) ).
fof(c_0_78,plain,
( ( leq(n0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])])]) ).
cnf(c_0_79,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,plain,
( leq(pv5,minus(n999,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
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)
| ~ epred2_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_84,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_31]),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_38]),c_0_45]),c_0_38]),c_0_54]),c_0_38]),c_0_64]),c_0_38]),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_41]),c_0_48]),c_0_38]),c_0_57]),c_0_38]),c_0_67]),c_0_38]),c_0_77]),c_0_38]) ).
cnf(c_0_87,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_89,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_80])]) ).
cnf(c_0_90,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_31]),c_0_31]) ).
cnf(c_0_92,plain,
( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
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_80])]) ).
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,
( epred3_0
| leq(n0,esk32_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_96,plain,
( epred3_0
| leq(n0,esk33_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_97,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_98,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_88]),c_0_89])]) ).
cnf(c_0_99,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ epred2_0
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_100,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_38]),c_0_45]) ).
cnf(c_0_101,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_102,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_103,plain,
( epred3_0
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_88]),c_0_89])]) ).
cnf(c_0_104,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_105,plain,
( epred3_0
| leq(n0,esk32_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_88]),c_0_89])]) ).
cnf(c_0_106,plain,
( epred3_0
| leq(n0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_88]),c_0_89])]) ).
cnf(c_0_107,plain,
( epred3_0
| leq(esk32_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_97,c_0_94]) ).
cnf(c_0_108,plain,
( epred3_0
| leq(esk33_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_98,c_0_94]) ).
cnf(c_0_109,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_99,c_0_80])]) ).
cnf(c_0_110,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_100]),c_0_57]) ).
cnf(c_0_111,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_112,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_113,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_114,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_115,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_116,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_88]),c_0_89])]) ).
cnf(c_0_117,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_118,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_119,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_88]),c_0_89])]) ).
cnf(c_0_120,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_121,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_122,plain,
( epred3_0
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_123,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_109,c_0_110]),c_0_110]) ).
cnf(c_0_124,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_88]),c_0_89])]) ).
cnf(c_0_125,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(n0,esk35_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_126,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(n0,esk34_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_127,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_88]),c_0_89])]) ).
cnf(c_0_128,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_88]),c_0_89])]) ).
cnf(c_0_129,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk35_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_130,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(n0,esk34_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_131,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_88]),c_0_89])]) ).
cnf(c_0_132,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_88]),c_0_89])]) ).
cnf(c_0_133,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_116,c_0_94]) ).
cnf(c_0_134,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_88]),c_0_89])]) ).
cnf(c_0_135,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_88]),c_0_89])]) ).
cnf(c_0_136,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_119,c_0_94]) ).
cnf(c_0_137,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_138,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_139,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_120,c_0_31]) ).
cnf(c_0_140,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_141,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_88]),c_0_89])]) ).
cnf(c_0_142,plain,
( epred3_0
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_143,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_124,c_0_110]) ).
cnf(c_0_144,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_88]),c_0_89])]) ).
cnf(c_0_145,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_88]),c_0_89])]) ).
cnf(c_0_146,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_127,c_0_110]) ).
cnf(c_0_147,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_128,c_0_110]) ).
cnf(c_0_148,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_88]),c_0_89])]) ).
cnf(c_0_149,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_88]),c_0_89])]) ).
cnf(c_0_150,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_131,c_0_110]) ).
cnf(c_0_151,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_132,c_0_94]) ).
cnf(c_0_152,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_133,c_0_110]) ).
cnf(c_0_153,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_134,c_0_94]) ).
cnf(c_0_154,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_135,c_0_94]) ).
cnf(c_0_155,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_136,c_0_110]) ).
cnf(c_0_156,plain,
( epred3_0
| leq(n0,esk35_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_157,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_88]),c_0_89])]) ).
cnf(c_0_158,plain,
( epred3_0
| leq(n0,esk34_0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_159,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_88]),c_0_89])]) ).
cnf(c_0_160,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_84,c_0_38]) ).
cnf(c_0_161,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_139,c_0_38]) ).
cnf(c_0_162,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ epred2_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_163,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_164,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_165,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_166,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_88]),c_0_89])]) ).
cnf(c_0_167,plain,
( epred3_0
| leq(esk35_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_141,c_0_110]) ).
cnf(c_0_168,plain,
( epred3_0
| leq(n0,esk33_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_169,plain,
( epred3_0
| leq(n0,esk32_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_147]),c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_170,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_151,c_0_110]) ).
cnf(c_0_171,plain,
( epred3_0
| leq(esk32_0,n5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_152]),c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_172,plain,
( epred3_0
| leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_88]),c_0_89])]) ).
cnf(c_0_173,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_157,c_0_94]) ).
cnf(c_0_174,plain,
( epred3_0
| leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_88]),c_0_89])]) ).
cnf(c_0_175,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_159,c_0_94]) ).
fof(c_0_176,plain,
! [X3,X4] :
( ~ leq(succ(X3),X4)
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(c_0_177,plain,
! [X3,X4] :
( ~ gt(X4,X3)
| leq(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_178,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_179,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_180,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_162,c_0_80])]) ).
cnf(c_0_181,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,minus(n0,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_182,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,minus(n0,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_183,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_163,c_0_94]) ).
cnf(c_0_184,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_164,c_0_94]) ).
cnf(c_0_185,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_88]),c_0_89])]) ).
cnf(c_0_186,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_166,c_0_94]) ).
cnf(c_0_187,plain,
( epred3_0
| leq(esk35_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_104]),c_0_168]),c_0_169]),c_0_170]),c_0_171]) ).
cnf(c_0_188,plain,
( epred3_0
| leq(n0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_104]),c_0_169]),c_0_168]),c_0_171]),c_0_173]) ).
cnf(c_0_189,plain,
( epred3_0
| leq(n0,esk34_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_104]),c_0_169]),c_0_168]),c_0_171]),c_0_175]) ).
fof(c_0_190,plain,
! [X2] : ~ gt(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[irreflexivity_gt])]) ).
cnf(c_0_191,plain,
( gt(X1,X2)
| ~ leq(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
fof(c_0_192,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| leq(X3,succ(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
fof(c_0_193,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_194,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_195,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]) ).
cnf(c_0_196,negated_conjecture,
( leq(esk26_0,tptp_minus_1)
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_197,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_180,c_0_94]),c_0_94]) ).
cnf(c_0_198,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_181,c_0_179]) ).
cnf(c_0_199,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_182,c_0_179]) ).
cnf(c_0_200,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_183,c_0_179]) ).
cnf(c_0_201,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_184,c_0_179]) ).
cnf(c_0_202,plain,
( epred3_0
| leq(esk34_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_185,c_0_110]) ).
cnf(c_0_203,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_186,c_0_110]) ).
cnf(c_0_204,plain,
( epred3_0
| ~ leq(esk34_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_187]),c_0_188]),c_0_189]) ).
cnf(c_0_205,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| leq(n0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_206,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| leq(n0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_207,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_208,plain,
( gt(X1,X2)
| ~ leq(plus(X2,n1),X1) ),
inference(rw,[status(thm)],[c_0_191,c_0_31]) ).
cnf(c_0_209,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_210,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_211,plain,
leq(tptp_minus_1,n1),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_212,plain,
( leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_213,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_104]),c_0_168]),c_0_169]),c_0_203]),c_0_171]),c_0_204]) ).
cnf(c_0_214,negated_conjecture,
( leq(n0,esk26_0)
| ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_215,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_216,negated_conjecture,
( leq(n0,esk25_0)
| leq(n0,esk26_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_217,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_205,c_0_94]) ).
cnf(c_0_218,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_206,c_0_94]) ).
cnf(c_0_219,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_220,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_209,c_0_31]) ).
fof(c_0_221,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])])]) ).
fof(c_0_222,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n1)
| X2 = n0
| X2 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
cnf(c_0_223,plain,
( leq(X1,n1)
| ~ leq(X1,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_224,plain,
leq(esk26_0,tptp_minus_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).
cnf(c_0_225,negated_conjecture,
( leq(n0,esk26_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_197]),c_0_215]),c_0_216]),c_0_217]),c_0_218]) ).
cnf(c_0_226,plain,
~ leq(plus(X1,n2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_38]),c_0_45]) ).
cnf(c_0_227,plain,
plus(n1,plus(n1,X1)) = plus(X1,n2),
inference(spm,[status(thm)],[c_0_45,c_0_38]) ).
cnf(c_0_228,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_229,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_230,plain,
leq(esk26_0,n1),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_231,negated_conjecture,
leq(n0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_213])]) ).
cnf(c_0_232,plain,
~ leq(plus(n2,X1),X1),
inference(spm,[status(thm)],[c_0_226,c_0_100]) ).
cnf(c_0_233,plain,
plus(n2,tptp_minus_1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_161]),c_0_38]),c_0_41]),c_0_100]) ).
cnf(c_0_234,plain,
( gt(X1,X2)
| ~ leq(X2,minus(X1,n1)) ),
inference(rw,[status(thm)],[c_0_228,c_0_73]) ).
cnf(c_0_235,plain,
( esk26_0 = n0
| esk26_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]) ).
cnf(c_0_236,plain,
~ leq(n1,tptp_minus_1),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_237,plain,
~ leq(X1,minus(X1,n1)),
inference(spm,[status(thm)],[c_0_207,c_0_234]) ).
cnf(c_0_238,plain,
esk26_0 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_235]),c_0_236]) ).
cnf(c_0_239,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_237,c_0_179]) ).
cnf(c_0_240,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_238]),c_0_239]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV114+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 18:08:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.029 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.42 # Proof object total steps : 241
% 0.22/1.42 # Proof object clause steps : 190
% 0.22/1.42 # Proof object formula steps : 51
% 0.22/1.42 # Proof object conjectures : 25
% 0.22/1.42 # Proof object clause conjectures : 22
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 66
% 0.22/1.42 # Proof object initial formulas used : 26
% 0.22/1.42 # Proof object generating inferences : 29
% 0.22/1.42 # Proof object simplifying inferences : 277
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 102
% 0.22/1.42 # Removed by relevancy pruning/SinE : 0
% 0.22/1.42 # Initial clauses : 265
% 0.22/1.42 # Removed in clause preprocessing : 2
% 0.22/1.42 # Initial clauses in saturation : 263
% 0.22/1.42 # Processed clauses : 1151
% 0.22/1.42 # ...of these trivial : 53
% 0.22/1.42 # ...subsumed : 402
% 0.22/1.42 # ...remaining for further processing : 696
% 0.22/1.42 # Other redundant clauses eliminated : 10
% 0.22/1.42 # Clauses deleted for lack of memory : 0
% 0.22/1.42 # Backward-subsumed : 47
% 0.22/1.42 # Backward-rewritten : 88
% 0.22/1.42 # Generated clauses : 19373
% 0.22/1.42 # ...of the previous two non-trivial : 18565
% 0.22/1.42 # Contextual simplify-reflections : 62
% 0.22/1.42 # Paramodulations : 19358
% 0.22/1.42 # Factorizations : 3
% 0.22/1.42 # Equation resolutions : 12
% 0.22/1.42 # Current number of processed clauses : 560
% 0.22/1.42 # Positive orientable unit clauses : 156
% 0.22/1.42 # Positive unorientable unit clauses: 5
% 0.22/1.42 # Negative unit clauses : 92
% 0.22/1.42 # Non-unit-clauses : 307
% 0.22/1.42 # Current number of unprocessed clauses: 10748
% 0.22/1.42 # ...number of literals in the above : 60623
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 137
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 18885
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 6094
% 0.22/1.42 # Non-unit clause-clause subsumptions : 175
% 0.22/1.42 # Unit Clause-clause subsumption calls : 9099
% 0.22/1.42 # Rewrite failures with RHS unbound : 0
% 0.22/1.42 # BW rewrite match attempts : 23
% 0.22/1.42 # BW rewrite match successes : 17
% 0.22/1.42 # Condensation attempts : 0
% 0.22/1.42 # Condensation successes : 0
% 0.22/1.42 # Termbank termtop insertions : 547129
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.306 s
% 0.22/1.42 # System time : 0.008 s
% 0.22/1.42 # Total time : 0.314 s
% 0.22/1.42 # Maximum resident set size: 14300 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------