TSTP Solution File: SWV053+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 21:36:20 EDT 2023
% Result : Theorem 26.72s 26.79s
% Output : CNFRefutation 26.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 89
% Syntax : Number of formulae : 179 ( 65 unt; 75 typ; 0 def)
% Number of atoms : 315 ( 134 equ)
% Maximal formula atoms : 73 ( 3 avg)
% Number of connectives : 359 ( 148 ~; 157 |; 44 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 149 ( 53 >; 96 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 69 ( 69 usr; 21 con; 0-7 aty)
% Number of variables : 62 ( 4 sgn; 36 !; 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,
pv10: $i ).
tff(decl_56,type,
pv12: $i ).
tff(decl_57,type,
n135300: $i ).
tff(decl_58,type,
q: $i ).
tff(decl_59,type,
center: $i ).
tff(decl_60,type,
x: $i ).
tff(decl_61,type,
times: ( $i * $i ) > $i ).
tff(decl_62,type,
sqrt: $i > $i ).
tff(decl_63,type,
divide: ( $i * $i ) > $i ).
tff(decl_64,type,
pv71: $i ).
tff(decl_65,type,
epred1_4: ( $i * $i * $i * $i ) > $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_0: $i ).
tff(decl_90,type,
esk25_0: $i ).
tff(decl_91,type,
esk26_0: $i ).
tff(decl_92,type,
esk27_0: $i ).
tff(decl_93,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk31_4: ( $i * $i * $i * $i ) > $i ).
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(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_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(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_4_l,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_4_l) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
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(cl5_nebula_norm_0031,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0031) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(c_0_14,plain,
! [X141] : plus(X141,n3) = succ(succ(succ(X141))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
fof(c_0_15,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_16,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_17,plain,
! [X143] : plus(X143,n4) = succ(succ(succ(succ(X143)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_18,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_22,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_23,plain,
! [X144] : plus(n4,X144) = succ(succ(succ(succ(X144)))),
inference(variable_rename,[status(thm)],[succ_plus_4_l]) ).
cnf(c_0_24,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,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_18,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_26,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_27,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_28,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_29,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_22,c_0_19]) ).
fof(c_0_30,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_31,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_32,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0031]) ).
cnf(c_0_33,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,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_24,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_35,plain,
plus(n1,plus(n1,plus(X1,n1))) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
cnf(c_0_36,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_37,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_27,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_38,plain,
plus(n1,plus(n1,n1)) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_26]) ).
cnf(c_0_39,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_42,negated_conjecture,
! [X188,X189,X190,X191] :
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ( ~ leq(n0,X188)
| ~ leq(X188,minus(pv12,n1))
| a_select3(q,pv10,X188) = divide(sqrt(times(minus(a_select3(center,X188,n0),a_select2(x,pv10)),minus(a_select3(center,X188,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X189,n0),a_select2(x,pv10)),minus(a_select3(center,X189,n0),a_select2(x,pv10)))))) )
& ( ~ leq(n0,X190)
| ~ leq(X190,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X190,X191)) = n1 )
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk26_0)
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk26_0)
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).
cnf(c_0_43,plain,
plus(n4,X1) = 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_33,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_44,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)],[c_0_34,c_0_26]),c_0_26]),c_0_35]),c_0_26]) ).
cnf(c_0_45,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_36,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_46,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_29]),c_0_26]),c_0_38]),c_0_26]) ).
cnf(c_0_47,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_19]),c_0_40]) ).
cnf(c_0_48,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_41,c_0_19]) ).
cnf(c_0_49,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
leq(n0,pv12),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
leq(pv12,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
plus(X1,n4) = plus(n4,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_26]),c_0_26]),c_0_35]),c_0_26]),c_0_44]) ).
cnf(c_0_55,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)],[c_0_45,c_0_29]),c_0_26]),c_0_38]),c_0_26]),c_0_46]),c_0_26]) ).
fof(c_0_56,plain,
! [X135] : sum(n0,tptp_minus_1,X135) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_57,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
cnf(c_0_58,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_59,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_62,plain,
minus(n5,n1) = n4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_54]),c_0_55]) ).
cnf(c_0_63,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,plain,
tptp_minus_1 = minus(n0,n1),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_66,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_67,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_69,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_70,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_71,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_72,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_73,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_74,plain,
sum(n0,minus(n0,n1),X1) = n0,
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_76,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| leq(n0,esk26_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_77,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_78,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(rw,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_79,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_80,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_81,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_82,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_83,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_62]),c_0_62]) ).
cnf(c_0_84,negated_conjecture,
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10))))))
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv12,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_85,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_86,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_87,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_74])]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_74])]) ).
cnf(c_0_89,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_74])]) ).
cnf(c_0_90,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_74])]) ).
cnf(c_0_91,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_74])]) ).
cnf(c_0_92,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[c_0_81,c_0_62]) ).
cnf(c_0_93,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[c_0_82,c_0_62]) ).
cnf(c_0_94,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_74])]) ).
cnf(c_0_95,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_62]) ).
cnf(c_0_96,negated_conjecture,
leq(esk24_0,minus(pv12,n1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_97,negated_conjecture,
leq(n0,esk24_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_86]),c_0_90]),c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74])]) ).
cnf(c_0_99,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_74])]) ).
cnf(c_0_100,negated_conjecture,
sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97])]) ).
cnf(c_0_101,negated_conjecture,
leq(esk26_0,minus(pv10,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_95]),c_0_96]),c_0_97])]) ).
cnf(c_0_102,negated_conjecture,
leq(n0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_95]),c_0_96]),c_0_97])]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_86]),c_0_101]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n029.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 11:09:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 26.72/26.79 % Version : CSE_E---1.5
% 26.72/26.79 % Problem : theBenchmark.p
% 26.72/26.79 % Proof found
% 26.72/26.79 % SZS status Theorem for theBenchmark.p
% 26.72/26.79 % SZS output start Proof
% See solution above
% 26.72/26.80 % Total time : 26.214000 s
% 26.72/26.80 % SZS output end Proof
% 26.72/26.80 % Total time : 26.220000 s
%------------------------------------------------------------------------------