TSTP Solution File: SWV042+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Thu Aug 31 21:36:17 EDT 2023
% Result : Theorem 58.71s 58.80s
% Output : CNFRefutation 58.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 87
% Syntax : Number of formulae : 257 ( 41 unt; 75 typ; 0 def)
% Number of atoms : 763 ( 225 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 777 ( 196 ~; 444 |; 102 &)
% ( 2 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 22 con; 0-7 aty)
% Number of variables : 61 ( 0 sgn; 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
simplex7_init: $i ).
tff(decl_56,type,
init: $i ).
tff(decl_57,type,
s_values7_init: $i ).
tff(decl_58,type,
s_center7_init: $i ).
tff(decl_59,type,
loopcounter: $i ).
tff(decl_60,type,
pvar1400_init: $i ).
tff(decl_61,type,
pvar1401_init: $i ).
tff(decl_62,type,
pvar1402_init: $i ).
tff(decl_63,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_64,type,
epred2_0: $o ).
tff(decl_65,type,
epred3_0: $o ).
tff(decl_66,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk28_0: $i ).
tff(decl_94,type,
esk29_0: $i ).
tff(decl_95,type,
esk30_0: $i ).
tff(decl_96,type,
esk31_0: $i ).
fof(gauss_init_0081,conjecture,
( ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0081) ).
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_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_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
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_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
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(c_0_10,plain,
( epred2_0
<=> ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( epred3_0
<=> ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) ) ),
introduced(definition) ).
fof(c_0_12,plain,
( epred2_0
=> ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
fof(c_0_13,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_init_0081]),c_0_10]),c_0_11]) ).
fof(c_0_14,plain,
! [X202,X203,X204,X205] :
( ( ~ leq(n0,X202)
| ~ leq(X202,n2)
| ~ leq(n0,X203)
| ~ leq(X203,n3)
| a_select3(simplex7_init,X203,X202) = init
| ~ epred2_0 )
& ( ~ leq(n0,X204)
| ~ leq(X204,n3)
| a_select2(s_values7_init,X204) = init
| ~ epred2_0 )
& ( ~ leq(n0,X205)
| ~ leq(X205,minus(plus(n1,n2),n1))
| a_select2(s_center7_init,X205) = init
| ~ epred2_0 )
& ( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,negated_conjecture,
( epred2_0
& ( gt(loopcounter,n1)
| ~ epred3_0 )
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_16,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
( ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
( gt(loopcounter,n1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17])]) ).
cnf(c_0_24,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17])]) ).
fof(c_0_25,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_26,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_27,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_28,plain,
( ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_29,negated_conjecture,
( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,plain,
( pvar1402_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( pvar1401_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_32,plain,
( pvar1400_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_33,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_34,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_36,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_37,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
( leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_41,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,plain,
( leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,plain,
( leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
( leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49,plain,
( leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50,plain,
( leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_51,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,plain,
( leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_53,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_54,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]) ).
cnf(c_0_55,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_56,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_57,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_58,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_59,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_34]),c_0_34]) ).
cnf(c_0_60,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_38,c_0_34]) ).
cnf(c_0_61,plain,
( epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_62,plain,
( a_select3(simplex7_init,X2,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_63,plain,
( leq(n0,esk28_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_64,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_17])]) ).
cnf(c_0_65,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_66,plain,
( leq(n0,esk28_0)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_43,c_0_40]) ).
cnf(c_0_67,plain,
( leq(n0,esk29_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_44,c_0_40]) ).
cnf(c_0_68,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_45,c_0_40]) ).
cnf(c_0_69,plain,
( leq(n0,esk29_0)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_70,plain,
( leq(esk28_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_71,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_72,plain,
( leq(esk28_0,n2)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_49,c_0_40]) ).
cnf(c_0_73,plain,
( leq(esk29_0,n3)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_74,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_51,c_0_40]) ).
cnf(c_0_75,plain,
( leq(esk29_0,n3)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_76,plain,
( leq(n0,esk30_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_77,plain,
( leq(esk30_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_78,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_79,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_80,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_81,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_82,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_34]),c_0_34]) ).
cnf(c_0_83,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_84,plain,
( leq(esk31_0,n2)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_85,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_86,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_87,plain,
( leq(esk31_0,n2)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_88,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_89,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_90,plain,
( leq(esk31_0,n2)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_91,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_92,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_93,plain,
( leq(esk31_0,n2)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_94,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_95,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_96,plain,
( leq(n0,esk31_0)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_97,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_98,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_99,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_100,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_101,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_102,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_103,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_104,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_105,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_106,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_107,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_108,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_61,c_0_40]) ).
cnf(c_0_109,plain,
( a_select3(simplex7_init,X1,X2) = init
| ~ leq(X1,n3)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_17])]) ).
cnf(c_0_110,plain,
( leq(n0,esk28_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_111,plain,
( leq(n0,esk29_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_64]),c_0_68]),c_0_69]) ).
cnf(c_0_112,plain,
( leq(esk28_0,n2)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_64]),c_0_71]),c_0_72]) ).
cnf(c_0_113,plain,
( leq(esk29_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74]),c_0_75]) ).
cnf(c_0_114,plain,
( leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_76,c_0_40]) ).
cnf(c_0_115,plain,
( leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(sr,[status(thm)],[c_0_77,c_0_40]) ).
cnf(c_0_116,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,minus(plus(n1,n2),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_117,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_55]),c_0_79]),c_0_60]) ).
cnf(c_0_118,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_34]),c_0_81]) ).
cnf(c_0_119,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_60]),c_0_83]) ).
cnf(c_0_120,plain,
( leq(esk31_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121,plain,
( leq(n0,esk28_0)
| leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_84,c_0_40]) ).
cnf(c_0_122,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_85,c_0_40]) ).
cnf(c_0_123,plain,
( leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_86,c_0_40]) ).
cnf(c_0_124,plain,
( leq(n0,esk29_0)
| leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_87,c_0_40]) ).
cnf(c_0_125,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_88,c_0_40]) ).
cnf(c_0_126,plain,
( leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_89,c_0_40]) ).
cnf(c_0_127,plain,
( leq(esk28_0,n2)
| leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_90,c_0_40]) ).
cnf(c_0_128,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_91,c_0_40]) ).
cnf(c_0_129,plain,
( leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_92,c_0_40]) ).
cnf(c_0_130,plain,
( leq(esk29_0,n3)
| leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_93,c_0_40]) ).
cnf(c_0_131,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_94,c_0_40]) ).
cnf(c_0_132,plain,
( leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_95,c_0_40]) ).
cnf(c_0_133,plain,
( leq(n0,esk31_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_134,plain,
( leq(n0,esk28_0)
| leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_96,c_0_40]) ).
cnf(c_0_135,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_97,c_0_40]) ).
cnf(c_0_136,plain,
( leq(n0,esk28_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_98,c_0_40]) ).
cnf(c_0_137,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_99,c_0_40]) ).
cnf(c_0_138,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_100,c_0_40]) ).
cnf(c_0_139,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_101,c_0_40]) ).
cnf(c_0_140,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_102,c_0_40]) ).
cnf(c_0_141,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk28_0,n2) ),
inference(sr,[status(thm)],[c_0_103,c_0_40]) ).
cnf(c_0_142,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_104,c_0_40]) ).
cnf(c_0_143,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3)
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_105,c_0_40]) ).
cnf(c_0_144,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk29_0,n3) ),
inference(sr,[status(thm)],[c_0_106,c_0_40]) ).
cnf(c_0_145,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_107,c_0_40]) ).
cnf(c_0_146,plain,
( a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_147,plain,
( leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_148,plain,
( leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_149,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_17]),c_0_117])]) ).
cnf(c_0_150,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_117]) ).
cnf(c_0_151,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_152,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_153,plain,
( leq(esk31_0,n2)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_120,c_0_40]) ).
cnf(c_0_154,plain,
( leq(esk31_0,n2)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_64]),c_0_122]),c_0_123]) ).
cnf(c_0_155,plain,
( leq(esk31_0,n2)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_64]),c_0_125]),c_0_126]) ).
cnf(c_0_156,plain,
( leq(esk31_0,n2)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_64]),c_0_128]),c_0_129]) ).
cnf(c_0_157,plain,
( leq(esk31_0,n2)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_64]),c_0_131]),c_0_132]) ).
cnf(c_0_158,plain,
( leq(n0,esk31_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(sr,[status(thm)],[c_0_133,c_0_40]) ).
cnf(c_0_159,plain,
( leq(n0,esk31_0)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_64]),c_0_135]),c_0_136]) ).
cnf(c_0_160,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_64]),c_0_138]),c_0_139]) ).
cnf(c_0_161,plain,
( leq(esk28_0,n2)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_64]),c_0_141]),c_0_142]) ).
cnf(c_0_162,plain,
( leq(esk29_0,n3)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_64]),c_0_144]),c_0_145]) ).
cnf(c_0_163,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_164,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_165,plain,
a_select2(s_center7_init,esk31_0) != init,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_64]),c_0_147]),c_0_148]) ).
cnf(c_0_166,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_167,plain,
( leq(n0,esk30_0)
| leq(esk31_0,n2)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(sr,[status(thm)],[c_0_151,c_0_40]) ).
cnf(c_0_168,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(sr,[status(thm)],[c_0_152,c_0_40]) ).
cnf(c_0_169,plain,
( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_109]),c_0_154]),c_0_155]),c_0_156]),c_0_157]) ).
cnf(c_0_170,plain,
( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_109]),c_0_159]),c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_171,plain,
( leq(esk30_0,n3)
| leq(esk31_0,n2)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(sr,[status(thm)],[c_0_163,c_0_40]) ).
cnf(c_0_172,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(sr,[status(thm)],[c_0_164,c_0_40]) ).
cnf(c_0_173,plain,
( ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_174,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0) ),
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_109]),c_0_154]),c_0_155]),c_0_156]),c_0_157]) ).
cnf(c_0_175,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_109]),c_0_159]),c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_176,plain,
( leq(esk31_0,n2)
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_64]) ).
cnf(c_0_177,plain,
( leq(n0,esk31_0)
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0) ),
inference(spm,[status(thm)],[c_0_170,c_0_64]) ).
cnf(c_0_178,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_109]),c_0_154]),c_0_155]),c_0_156]),c_0_157]) ).
cnf(c_0_179,plain,
( leq(esk30_0,n3)
| leq(n0,esk31_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_109]),c_0_159]),c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_180,plain,
leq(n0,esk30_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_181,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_176,c_0_177,c_0_173,c_0_178,c_0_179,c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 07:25:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 58.71/58.80 % Version : CSE_E---1.5
% 58.71/58.80 % Problem : theBenchmark.p
% 58.71/58.80 % Proof found
% 58.71/58.80 % SZS status Theorem for theBenchmark.p
% 58.71/58.80 % SZS output start Proof
% See solution above
% 58.71/58.81 % Total time : 58.218000 s
% 58.71/58.81 % SZS output end Proof
% 58.71/58.81 % Total time : 58.226000 s
%------------------------------------------------------------------------------