%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV122+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 7.23s 4.72s
% Output : CNFRefutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 167 ( 80 unt; 0 def)
% Number of atoms : 496 ( 125 equ)
% Maximal formula atoms : 75 ( 2 avg)
% Number of connectives : 444 ( 115 ~; 213 |; 93 &)
% ( 2 <=>; 21 =>; 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 : 21 ( 21 usr; 16 con; 0-3 aty)
% Number of variables : 101 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(quaternion_ds1_symm_0015,conjecture,
( ( ! [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(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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0015) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(c_0_17,plain,
! [X320] : plus(X320,n2) = succ(succ(X320)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_18,plain,
! [X318] : plus(X318,n1) = succ(X318),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_19,plain,
! [X319] : plus(n1,X319) = succ(X319),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_20,plain,
! [X322] : plus(X322,n3) = succ(succ(succ(X322))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_21,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_25,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_26,plain,
! [X324] : plus(X324,n4) = succ(succ(succ(succ(X324)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_27,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_29,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_30,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_31,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22]),c_0_22]) ).
cnf(c_0_32,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_25,c_0_22]) ).
fof(c_0_33,plain,
( epred2_0
<=> ( ! [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_34,plain,
( epred3_0
<=> ( ! [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_35,plain,
! [X326] : plus(X326,n5) = succ(succ(succ(succ(succ(X326))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
cnf(c_0_36,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_27,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_38,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_40,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_41,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_42,plain,
( epred2_0
=> ( ! [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_33]) ).
fof(c_0_43,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) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0015]),c_0_33]),c_0_34]) ).
fof(c_0_44,plain,
! [X327] : plus(n5,X327) = succ(succ(succ(succ(succ(X327))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
cnf(c_0_45,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,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_36,c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_47,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_29]),c_0_38]),c_0_29]) ).
cnf(c_0_48,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_49,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_39,c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_50,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_32]),c_0_41]),c_0_29]) ).
fof(c_0_51,plain,
! [X386,X387,X388,X389,X390,X391] :
( ( ~ leq(n0,X386)
| ~ leq(n0,X387)
| ~ leq(X386,minus(n6,n1))
| ~ leq(X387,minus(n6,n1))
| a_select3(q_ds1_filter,X386,X387) = a_select3(q_ds1_filter,X387,X386)
| ~ epred2_0 )
& ( ~ leq(n0,X388)
| ~ leq(n0,X389)
| ~ leq(X388,minus(n3,n1))
| ~ leq(X389,minus(n3,n1))
| a_select3(r_ds1_filter,X388,X389) = a_select3(r_ds1_filter,X389,X388)
| ~ epred2_0 )
& ( ~ leq(n0,X390)
| ~ leq(n0,X391)
| ~ leq(X390,minus(n6,n1))
| ~ leq(X391,minus(n6,n1))
| a_select3(pminus_ds1_filter,X390,X391) = a_select3(pminus_ds1_filter,X391,X390)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
fof(c_0_52,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_43])])])]) ).
fof(c_0_53,plain,
! [X329] : pred(succ(X329)) = X329,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_54,plain,
! [X328] : minus(X328,n1) = pred(X328),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_55,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,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_45,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_57,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_46,c_0_29]),c_0_38]),c_0_29]),c_0_47]),c_0_29]) ).
cnf(c_0_58,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_59,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_48,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_60,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_49,c_0_32]),c_0_41]),c_0_29]),c_0_50]),c_0_29]) ).
cnf(c_0_61,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_51]) ).
cnf(c_0_62,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_63,plain,
! [X321] : plus(n2,X321) = succ(succ(X321)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_64,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,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_55,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_67,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_56,c_0_29]),c_0_38]),c_0_29]),c_0_47]),c_0_29]),c_0_57]),c_0_29]) ).
cnf(c_0_68,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_58,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_69,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_59,c_0_32]),c_0_41]),c_0_29]),c_0_50]),c_0_29]),c_0_60]),c_0_29]) ).
fof(c_0_70,plain,
( ( ! [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_34]) ).
cnf(c_0_71,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_61,c_0_62])]) ).
cnf(c_0_72,negated_conjecture,
( leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_73,negated_conjecture,
( leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_74,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_75,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_51]) ).
cnf(c_0_76,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_22]),c_0_65]) ).
cnf(c_0_77,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_66,c_0_29]),c_0_38]),c_0_29]),c_0_47]),c_0_29]),c_0_57]),c_0_29]),c_0_67]) ).
cnf(c_0_78,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_68,c_0_32]),c_0_41]),c_0_29]),c_0_50]),c_0_29]),c_0_60]),c_0_29]),c_0_69]),c_0_29]) ).
fof(c_0_79,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_70])])])]) ).
cnf(c_0_80,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_71,c_0_72]),c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82,negated_conjecture,
( leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_83,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_52]) ).
cnf(c_0_84,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_22]),c_0_22]) ).
cnf(c_0_85,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_75,c_0_62])]) ).
cnf(c_0_86,plain,
minus(n6,n1) = n5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_87,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_79]) ).
cnf(c_0_88,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_89,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_79]) ).
cnf(c_0_90,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_51]) ).
cnf(c_0_91,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_29]),c_0_38]) ).
cnf(c_0_92,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_93,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_94,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_79]) ).
cnf(c_0_95,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_85,c_0_86]),c_0_86]) ).
cnf(c_0_96,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_87,c_0_86]),c_0_88]) ).
cnf(c_0_97,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_89,c_0_86]),c_0_88]) ).
cnf(c_0_98,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_90,c_0_62])]) ).
cnf(c_0_99,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_91]),c_0_50]) ).
cnf(c_0_100,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_101,plain,
( leq(n0,esk33_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_102,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_92,c_0_88]) ).
cnf(c_0_103,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_93,c_0_88]) ).
cnf(c_0_104,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_105,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_106,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_94,c_0_95]),c_0_88]),c_0_96]),c_0_97]) ).
cnf(c_0_107,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_98,c_0_99]),c_0_99]) ).
cnf(c_0_108,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_79]) ).
cnf(c_0_109,plain,
( leq(n0,esk30_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_100,c_0_88]) ).
cnf(c_0_110,plain,
( leq(n0,esk30_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_101,c_0_88]) ).
cnf(c_0_111,plain,
( leq(n0,esk30_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_102,c_0_99]) ).
cnf(c_0_112,plain,
( leq(n0,esk30_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_103,c_0_99]) ).
cnf(c_0_113,plain,
( leq(n0,esk32_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_114,plain,
( leq(n0,esk33_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( leq(esk32_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_104,c_0_88]) ).
cnf(c_0_116,plain,
( leq(esk33_0,minus(n3,n1))
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_105,c_0_88]) ).
cnf(c_0_117,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_106,c_0_107]) ).
cnf(c_0_118,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_108,c_0_107]),c_0_88]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_119,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_79]) ).
cnf(c_0_120,plain,
( leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_113,c_0_88]) ).
cnf(c_0_121,plain,
( leq(n0,esk31_0)
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_114,c_0_88]) ).
cnf(c_0_122,plain,
( leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(rw,[status(thm)],[c_0_115,c_0_99]) ).
cnf(c_0_123,plain,
( leq(n0,esk31_0)
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_116,c_0_99]) ).
cnf(c_0_124,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_125,plain,
( leq(n0,esk33_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_126,plain,
( leq(n0,esk32_0)
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_127,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk30_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_128,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_117,c_0_118])]) ).
cnf(c_0_129,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_119,c_0_107]),c_0_88]),c_0_120]),c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_130,plain,
( leq(esk30_0,minus(n6,n1))
| leq(esk33_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_124,c_0_88]) ).
cnf(c_0_131,plain,
( leq(esk30_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_125,c_0_88]) ).
cnf(c_0_132,plain,
( leq(esk30_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_126,c_0_88]) ).
cnf(c_0_133,plain,
( leq(esk30_0,minus(n6,n1))
| leq(esk32_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_127,c_0_88]) ).
cnf(c_0_134,plain,
( leq(n0,esk32_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_135,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_128,c_0_129])]) ).
cnf(c_0_136,plain,
( leq(esk33_0,n2)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_99]),c_0_86]) ).
cnf(c_0_137,plain,
( leq(n0,esk33_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_131,c_0_86]) ).
cnf(c_0_138,plain,
( leq(n0,esk32_0)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[c_0_132,c_0_86]) ).
cnf(c_0_139,plain,
( leq(esk32_0,n2)
| leq(esk30_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_99]),c_0_86]) ).
cnf(c_0_140,plain,
( leq(esk31_0,minus(n6,n1))
| leq(n0,esk32_0) ),
inference(sr,[status(thm)],[c_0_134,c_0_88]) ).
cnf(c_0_141,plain,
( leq(n0,esk33_0)
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_142,plain,
( leq(esk33_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_143,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_79]) ).
cnf(c_0_144,plain,
leq(esk30_0,n5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_138]),c_0_139]) ).
cnf(c_0_145,plain,
( leq(n0,esk32_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_140,c_0_86]) ).
cnf(c_0_146,plain,
( leq(esk31_0,minus(n6,n1))
| leq(n0,esk33_0) ),
inference(sr,[status(thm)],[c_0_141,c_0_88]) ).
cnf(c_0_147,plain,
( leq(esk31_0,minus(n6,n1))
| leq(esk33_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_142,c_0_88]) ).
cnf(c_0_148,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_143,c_0_95]),c_0_88]),c_0_144]),c_0_129]),c_0_118])]),c_0_145]) ).
cnf(c_0_149,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_79]) ).
cnf(c_0_150,plain,
( leq(n0,esk33_0)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_146,c_0_86]) ).
cnf(c_0_151,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_79]) ).
cnf(c_0_152,plain,
( leq(esk31_0,minus(n6,n1))
| leq(esk33_0,n2) ),
inference(rw,[status(thm)],[c_0_147,c_0_99]) ).
cnf(c_0_153,plain,
( leq(esk32_0,minus(n3,n1))
| leq(esk31_0,minus(n6,n1))
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_154,plain,
( ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2)
| ~ leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_148])]) ).
cnf(c_0_155,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_149,c_0_95]),c_0_88]),c_0_144]),c_0_129]),c_0_118])]),c_0_150]) ).
cnf(c_0_156,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_151,c_0_99]),c_0_88]) ).
cnf(c_0_157,plain,
( leq(esk33_0,n2)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[c_0_152,c_0_86]) ).
cnf(c_0_158,plain,
( leq(esk31_0,minus(n6,n1))
| leq(esk32_0,minus(n3,n1)) ),
inference(sr,[status(thm)],[c_0_153,c_0_88]) ).
cnf(c_0_159,plain,
( ~ leq(esk32_0,n2)
| ~ leq(esk33_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
cnf(c_0_160,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_156,c_0_95]),c_0_144]),c_0_129]),c_0_118])]),c_0_157]) ).
cnf(c_0_161,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_79]) ).
cnf(c_0_162,plain,
( leq(esk32_0,n2)
| leq(esk31_0,n5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_99]),c_0_86]) ).
cnf(c_0_163,plain,
~ leq(esk32_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_164,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_161,c_0_99]),c_0_88]) ).
cnf(c_0_165,plain,
leq(esk31_0,n5),
inference(sr,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_95]),c_0_165]),c_0_144]),c_0_129]),c_0_118])]),c_0_163]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV122+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n018.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 04:56:47 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 7.23/4.72 % Version : CSE_E---1.7
% 7.23/4.72 % Problem : theBenchmark.p
% 7.23/4.72 % SZS status Theorem for theBenchmark.p
% 7.23/4.72 % SZS output start CNFRefutation
% See solution above
% 7.23/4.74 % Total time : 3.369s
%------------------------------------------------------------------------------