TSTP Solution File: SWV053+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 Aug 22 11:02:45 EDT 2023
% Result : Theorem 11.19s 3.62s
% Output : CNFRefutation 11.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 84
% Syntax : Number of formulae : 191 ( 46 unt; 74 typ; 0 def)
% Number of atoms : 357 ( 133 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 447 ( 207 ~; 220 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 165 ( 52 >; 113 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 69 ( 69 usr; 21 con; 0-8 aty)
% Number of variables : 28 (; 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > times > plus > minus > divide > dim > a_select2 > #nlpp > trans > succ > sqrt > pred > inv > x > use > true > tptp_minus_1 > tptp_float_0_0 > q > pv71 > pv12 > pv10 > n5 > n4 > n3 > n2 > n135300 > n1 > n0 > def > center > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_31 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_30 > #skF_14 > #skF_29 > #skF_28 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(pv71,type,
pv71: $i ).
tff(times,type,
times: ( $i * $i ) > $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $i ).
tff(tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(n3,type,
n3: $i ).
tff(pv10,type,
pv10: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff(sqrt,type,
sqrt: $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(n135300,type,
n135300: $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(q,type,
q: $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(def,type,
def: $i ).
tff(pv12,type,
pv12: $i ).
tff(center,type,
center: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_372,axiom,
! [Body] : ( sum(n0,tptp_minus_1,Body) = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
tff(f_377,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
tff(f_401,axiom,
! [X] : ( pred(succ(X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
tff(f_399,axiom,
! [X] : ( minus(X,n1) = pred(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
tff(f_525,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(A,minus(pv12,n1)) )
=> ( a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))))) ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(C,minus(pv10,n1)) )
=> ( sum(n0,minus(n5,n1),a_select3(q,C,D)) = 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))
& ! [E,F] :
( ( leq(n0,E)
& leq(E,minus(pv12,n1)) )
=> ( a_select3(q,pv10,E) = divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10)))))) ) )
& ! [G,H] :
( ( leq(n0,G)
& leq(G,minus(pv10,n1)) )
=> ( sum(n0,minus(n5,n1),a_select3(q,G,H)) = n1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0031) ).
tff(f_624,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
tff(f_625,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
tff(f_623,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
tff(f_621,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
tff(f_622,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
tff(c_444,plain,
! [Body_128] : ( sum(n0,tptp_minus_1,Body_128) = n0 ),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_448,plain,
succ(tptp_minus_1) = n0,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_783,plain,
! [X_195] : ( pred(succ(X_195)) = X_195 ),
inference(cnfTransformation,[status(thm)],[f_401]) ).
tff(c_798,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_783]) ).
tff(c_470,plain,
! [X_140] : ( minus(X_140,n1) = pred(X_140) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_516,plain,
leq(pv12,minus(n5,n1)),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_518,plain,
leq(pv10,minus(n135300,n1)),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_520,plain,
leq(n0,pv12),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_522,plain,
leq(n0,pv10),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_540,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_625,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_540]) ).
tff(c_643,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_625]) ).
tff(c_661,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_643]) ).
tff(c_679,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ( 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(demodulation,[status(thm),theory(equality)],[c_516,c_661]) ).
tff(c_698,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_679]) ).
tff(c_1671,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_698]) ).
tff(c_1672,plain,
leq(n0,'#skF_30'),
inference(splitLeft,[status(thm)],[c_1671]) ).
tff(c_534,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_631,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_534]) ).
tff(c_649,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_631]) ).
tff(c_667,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_649]) ).
tff(c_685,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,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(demodulation,[status(thm),theory(equality)],[c_516,c_667]) ).
tff(c_701,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',pred(pv10))
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_685]) ).
tff(c_1744,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_701]) ).
tff(c_1745,plain,
leq('#skF_30',pred(pv10)),
inference(splitLeft,[status(thm)],[c_1744]) ).
tff(c_616,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_624]) ).
tff(c_618,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_625]) ).
tff(c_619,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_616,c_618]) ).
tff(c_614,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_623]) ).
tff(c_620,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_614,c_616]) ).
tff(c_610,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_621]) ).
tff(c_622,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_619,c_620,c_614,c_610]) ).
tff(c_612,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_622]) ).
tff(c_621,plain,
succ(succ(n3)) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_619,c_620,c_614,c_612]) ).
tff(c_623,plain,
succ(n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_622,c_621]) ).
tff(c_801,plain,
pred(n5) = n4,
inference(superposition,[status(thm),theory(equality)],[c_623,c_783]) ).
tff(c_512,plain,
! [C_183,D_184] :
( ( sum(n0,minus(n5,n1),a_select3(q,C_183,D_184)) = n1 )
| ~ leq(C_183,minus(pv10,n1))
| ~ leq(n0,C_183) ),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_708,plain,
! [C_183,D_184] :
( ( sum(n0,pred(n5),a_select3(q,C_183,D_184)) = n1 )
| ~ leq(C_183,pred(pv10))
| ~ leq(n0,C_183) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_512]) ).
tff(c_843,plain,
! [C_183,D_184] :
( ( sum(n0,n4,a_select3(q,C_183,D_184)) = n1 )
| ~ leq(C_183,pred(pv10))
| ~ leq(n0,C_183) ),
inference(demodulation,[status(thm),theory(equality)],[c_801,c_708]) ).
tff(c_1807,plain,
! [D_184] :
( ( sum(n0,n4,a_select3(q,'#skF_30',D_184)) = n1 )
| ~ leq(n0,'#skF_30') ),
inference(resolution,[status(thm)],[c_1745,c_843]) ).
tff(c_1811,plain,
! [D_184] : ( sum(n0,n4,a_select3(q,'#skF_30',D_184)) = n1 ),
inference(demodulation,[status(thm),theory(equality)],[c_1672,c_1807]) ).
tff(c_528,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_637,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_528]) ).
tff(c_655,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_637]) ).
tff(c_673,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_655]) ).
tff(c_691,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != 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(demodulation,[status(thm),theory(equality)],[c_516,c_673]) ).
tff(c_704,plain,
( leq(n0,'#skF_28')
| ( sum(n0,pred(n5),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_691]) ).
tff(c_2412,plain,
leq(n0,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_1811,c_801,c_704]) ).
tff(c_526,plain,
( leq('#skF_28',minus(pv12,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_639,plain,
( leq('#skF_28',minus(pv12,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_526]) ).
tff(c_657,plain,
( leq('#skF_28',minus(pv12,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_639]) ).
tff(c_675,plain,
( leq('#skF_28',minus(pv12,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_657]) ).
tff(c_693,plain,
( leq('#skF_28',minus(pv12,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != 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(demodulation,[status(thm),theory(equality)],[c_516,c_675]) ).
tff(c_705,plain,
( leq('#skF_28',pred(pv12))
| ( sum(n0,pred(n5),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_470,c_693]) ).
tff(c_2516,plain,
leq('#skF_28',pred(pv12)),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_1811,c_801,c_705]) ).
tff(c_514,plain,
! [A_181,B_182] :
( ( divide(sqrt(times(minus(a_select3(center,A_181,n0),a_select2(x,pv10)),minus(a_select3(center,A_181,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B_182,n0),a_select2(x,pv10)),minus(a_select3(center,B_182,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,A_181) )
| ~ leq(A_181,minus(pv12,n1))
| ~ leq(n0,A_181) ),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_707,plain,
! [A_181,B_182] :
( ( divide(sqrt(times(minus(a_select3(center,A_181,n0),a_select2(x,pv10)),minus(a_select3(center,A_181,n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,B_182,n0),a_select2(x,pv10)),minus(a_select3(center,B_182,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,A_181) )
| ~ leq(A_181,pred(pv12))
| ~ leq(n0,A_181) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_514]) ).
tff(c_946,plain,
! [A_181,B_182] :
( ( divide(sqrt(times(minus(a_select3(center,A_181,n0),a_select2(x,pv10)),minus(a_select3(center,A_181,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,B_182,n0),a_select2(x,pv10)),minus(a_select3(center,B_182,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,A_181) )
| ~ leq(A_181,pred(pv12))
| ~ leq(n0,A_181) ),
inference(demodulation,[status(thm),theory(equality)],[c_801,c_707]) ).
tff(c_524,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_641,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_524]) ).
tff(c_659,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_641]) ).
tff(c_677,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_659]) ).
tff(c_695,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != 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(demodulation,[status(thm),theory(equality)],[c_516,c_677]) ).
tff(c_706,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| ( sum(n0,pred(n5),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_470,c_695]) ).
tff(c_3483,plain,
divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_1811,c_801,c_801,c_706]) ).
tff(c_3486,plain,
( ~ leq('#skF_28',pred(pv12))
| ~ leq(n0,'#skF_28') ),
inference(superposition,[status(thm),theory(equality)],[c_946,c_3483]) ).
tff(c_3490,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2412,c_2516,c_3486]) ).
tff(c_3491,plain,
leq(n0,'#skF_28'),
inference(splitRight,[status(thm)],[c_1744]) ).
tff(c_3492,plain,
~ leq('#skF_30',pred(pv10)),
inference(splitRight,[status(thm)],[c_1744]) ).
tff(c_532,plain,
( leq('#skF_28',minus(pv12,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_633,plain,
( leq('#skF_28',minus(pv12,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_532]) ).
tff(c_651,plain,
( leq('#skF_28',minus(pv12,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_633]) ).
tff(c_669,plain,
( leq('#skF_28',minus(pv12,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_651]) ).
tff(c_687,plain,
( leq('#skF_28',minus(pv12,n1))
| leq('#skF_30',minus(pv10,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(demodulation,[status(thm),theory(equality)],[c_516,c_669]) ).
tff(c_702,plain,
( leq('#skF_28',pred(pv12))
| leq('#skF_30',pred(pv10))
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_470,c_687]) ).
tff(c_3755,plain,
( leq('#skF_28',pred(pv12))
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_702]) ).
tff(c_3756,plain,
leq('#skF_28',pred(pv12)),
inference(negUnitSimplification,[status(thm)],[c_3492,c_3755]) ).
tff(c_530,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_635,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_530]) ).
tff(c_653,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_635]) ).
tff(c_671,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_653]) ).
tff(c_689,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',minus(pv10,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(demodulation,[status(thm),theory(equality)],[c_516,c_671]) ).
tff(c_703,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',pred(pv10))
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_470,c_689]) ).
tff(c_4764,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_801,c_703]) ).
tff(c_4765,plain,
divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28'),
inference(negUnitSimplification,[status(thm)],[c_3492,c_4764]) ).
tff(c_4768,plain,
( ~ leq('#skF_28',pred(pv12))
| ~ leq(n0,'#skF_28') ),
inference(superposition,[status(thm),theory(equality)],[c_946,c_4765]) ).
tff(c_4772,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3491,c_3756,c_4768]) ).
tff(c_4773,plain,
leq(n0,'#skF_28'),
inference(splitRight,[status(thm)],[c_1671]) ).
tff(c_4774,plain,
~ leq(n0,'#skF_30'),
inference(splitRight,[status(thm)],[c_1671]) ).
tff(c_538,plain,
( leq('#skF_28',minus(pv12,n1))
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_627,plain,
( leq('#skF_28',minus(pv12,n1))
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_538]) ).
tff(c_645,plain,
( leq('#skF_28',minus(pv12,n1))
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_627]) ).
tff(c_663,plain,
( leq('#skF_28',minus(pv12,n1))
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_645]) ).
tff(c_681,plain,
( leq('#skF_28',minus(pv12,n1))
| leq(n0,'#skF_30')
| ( 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(demodulation,[status(thm),theory(equality)],[c_516,c_663]) ).
tff(c_699,plain,
( leq('#skF_28',pred(pv12))
| leq(n0,'#skF_30')
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_681]) ).
tff(c_4913,plain,
( leq('#skF_28',pred(pv12))
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_699]) ).
tff(c_4914,plain,
leq('#skF_28',pred(pv12)),
inference(negUnitSimplification,[status(thm)],[c_4774,c_4913]) ).
tff(c_536,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| ( 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(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_629,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ( 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(demodulation,[status(thm),theory(equality)],[c_522,c_536]) ).
tff(c_647,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,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(demodulation,[status(thm),theory(equality)],[c_520,c_629]) ).
tff(c_665,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ~ leq(pv12,minus(n5,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(demodulation,[status(thm),theory(equality)],[c_518,c_647]) ).
tff(c_683,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ( 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(demodulation,[status(thm),theory(equality)],[c_516,c_665]) ).
tff(c_700,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30')
| ( sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_683]) ).
tff(c_5801,plain,
( ( divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28') )
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_798,c_801,c_700]) ).
tff(c_5802,plain,
divide(sqrt(times(minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)),minus(a_select3(center,'#skF_29',n0),a_select2(x,pv10)))))) != a_select3(q,pv10,'#skF_28'),
inference(negUnitSimplification,[status(thm)],[c_4774,c_5801]) ).
tff(c_5805,plain,
( ~ leq('#skF_28',pred(pv12))
| ~ leq(n0,'#skF_28') ),
inference(superposition,[status(thm),theory(equality)],[c_946,c_5802]) ).
tff(c_5809,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4773,c_4914,c_5805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 23:34:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.19/3.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.19/3.63
% 11.19/3.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.62/3.67
% 11.62/3.67 Inference rules
% 11.62/3.67 ----------------------
% 11.62/3.67 #Ref : 0
% 11.62/3.67 #Sup : 1376
% 11.62/3.67 #Fact : 0
% 11.62/3.67 #Define : 0
% 11.62/3.67 #Split : 4
% 11.62/3.67 #Chain : 0
% 11.62/3.67 #Close : 0
% 11.62/3.67
% 11.62/3.67 Ordering : KBO
% 11.62/3.67
% 11.62/3.67 Simplification rules
% 11.62/3.67 ----------------------
% 11.62/3.67 #Subsume : 300
% 11.62/3.67 #Demod : 663
% 11.62/3.67 #Tautology : 428
% 11.62/3.67 #SimpNegUnit : 5
% 11.62/3.67 #BackRed : 4
% 11.62/3.67
% 11.62/3.67 #Partial instantiations: 0
% 11.62/3.67 #Strategies tried : 1
% 11.62/3.67
% 11.62/3.67 Timing (in seconds)
% 11.62/3.67 ----------------------
% 11.62/3.67 Preprocessing : 0.97
% 11.62/3.67 Parsing : 0.38
% 11.62/3.68 CNF conversion : 0.07
% 11.62/3.68 Main loop : 1.62
% 11.62/3.68 Inferencing : 0.39
% 11.62/3.68 Reduction : 0.68
% 11.62/3.68 Demodulation : 0.49
% 11.62/3.68 BG Simplification : 0.12
% 11.62/3.68 Subsumption : 0.36
% 11.62/3.68 Abstraction : 0.08
% 11.62/3.68 MUC search : 0.00
% 11.62/3.68 Cooper : 0.00
% 11.62/3.68 Total : 2.67
% 11.62/3.68 Index Insertion : 0.00
% 11.62/3.68 Index Deletion : 0.00
% 11.62/3.68 Index Matching : 0.00
% 11.62/3.68 BG Taut test : 0.00
%------------------------------------------------------------------------------