TSTP Solution File: SWV055+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV055+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 : n031.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 18.23s 5.74s
% Output : CNFRefutation 18.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 87
% Syntax : Number of formulae : 204 ( 73 unt; 72 typ; 0 def)
% Number of atoms : 229 ( 63 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 172 ( 75 ~; 78 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 1 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 : 67 ( 67 usr; 19 con; 0-8 aty)
% Number of variables : 60 (; 60 !; 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 > 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(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(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_70,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_508,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(A,minus(pv10,n1)) )
=> ( sum(n0,minus(n5,n1),a_select3(q,A,B)) = n1 ) ) )
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& ! [C,D] :
( ( leq(n0,C)
& leq(C,minus(n0,n1)) )
=> ( a_select3(q,pv10,C) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))) ) )
& ! [E,F] :
( ( leq(n0,E)
& leq(E,minus(pv10,n1)) )
=> ( sum(n0,minus(n5,n1),a_select3(q,E,F)) = n1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037) ).
tff(f_399,axiom,
! [X] : ( minus(X,n1) = pred(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
tff(f_607,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
tff(f_608,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
tff(f_606,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
tff(f_604,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
tff(f_605,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
tff(f_401,axiom,
! [X] : ( pred(succ(X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
tff(f_100,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(f_377,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
tff(f_115,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_111,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_573,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> ( X = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
tff(f_88,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_514,plain,
leq(pv10,minus(n135300,n1)),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_516,plain,
leq(n0,pv10),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_534,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_619,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30')
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_534]) ).
tff(c_639,plain,
( leq(n0,'#skF_28')
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_619]) ).
tff(c_706,plain,
leq(n0,'#skF_30'),
inference(splitLeft,[status(thm)],[c_639]) ).
tff(c_470,plain,
! [X_140] : ( minus(X_140,n1) = pred(X_140) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_528,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_625,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_528]) ).
tff(c_643,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',minus(pv10,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_625]) ).
tff(c_654,plain,
( leq(n0,'#skF_28')
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_643]) ).
tff(c_995,plain,
leq('#skF_30',pred(pv10)),
inference(splitLeft,[status(thm)],[c_654]) ).
tff(c_610,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_607]) ).
tff(c_612,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_613,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_610,c_612]) ).
tff(c_608,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_606]) ).
tff(c_614,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_608,c_610]) ).
tff(c_604,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_616,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_614,c_608,c_604]) ).
tff(c_606,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_605]) ).
tff(c_615,plain,
succ(succ(n3)) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_614,c_608,c_606]) ).
tff(c_617,plain,
succ(n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_616,c_615]) ).
tff(c_736,plain,
! [X_194] : ( pred(succ(X_194)) = X_194 ),
inference(cnfTransformation,[status(thm)],[f_401]) ).
tff(c_757,plain,
pred(n5) = n4,
inference(superposition,[status(thm),theory(equality)],[c_617,c_736]) ).
tff(c_512,plain,
! [A_181,B_182] :
( ( sum(n0,minus(n5,n1),a_select3(q,A_181,B_182)) = n1 )
| ~ leq(A_181,minus(pv10,n1))
| ~ leq(n0,A_181) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_663,plain,
! [A_181,B_182] :
( ( sum(n0,pred(n5),a_select3(q,A_181,B_182)) = n1 )
| ~ leq(A_181,pred(pv10))
| ~ leq(n0,A_181) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_512]) ).
tff(c_784,plain,
! [A_181,B_182] :
( ( sum(n0,n4,a_select3(q,A_181,B_182)) = n1 )
| ~ leq(A_181,pred(pv10))
| ~ leq(n0,A_181) ),
inference(demodulation,[status(thm),theory(equality)],[c_757,c_663]) ).
tff(c_1000,plain,
! [B_182] :
( ( sum(n0,n4,a_select3(q,'#skF_30',B_182)) = n1 )
| ~ leq(n0,'#skF_30') ),
inference(resolution,[status(thm)],[c_995,c_784]) ).
tff(c_1004,plain,
! [B_182] : ( sum(n0,n4,a_select3(q,'#skF_30',B_182)) = n1 ),
inference(demodulation,[status(thm),theory(equality)],[c_706,c_1000]) ).
tff(c_522,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_631,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_522]) ).
tff(c_649,plain,
( leq(n0,'#skF_28')
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_631]) ).
tff(c_660,plain,
( leq(n0,'#skF_28')
| ( sum(n0,pred(n5),a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_649]) ).
tff(c_1318,plain,
( leq(n0,'#skF_28')
| ( sum(n0,n4,a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_757,c_660]) ).
tff(c_1319,plain,
sum(n0,n4,a_select3(q,'#skF_30','#skF_31')) != n1,
inference(splitLeft,[status(thm)],[c_1318]) ).
tff(c_4797,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1004,c_1319]) ).
tff(c_4798,plain,
leq(n0,'#skF_28'),
inference(splitRight,[status(thm)],[c_1318]) ).
tff(c_10809,plain,
! [Y_470,X_471] :
( gt(Y_470,X_471)
| ( Y_470 = X_471 )
| ~ leq(X_471,Y_470) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_10873,plain,
( gt('#skF_28',n0)
| ( n0 = '#skF_28' ) ),
inference(resolution,[status(thm)],[c_4798,c_10809]) ).
tff(c_11075,plain,
n0 = '#skF_28',
inference(splitLeft,[status(thm)],[c_10873]) ).
tff(c_448,plain,
succ(tptp_minus_1) = n0,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_751,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_736]) ).
tff(c_520,plain,
( leq('#skF_28',minus(n0,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_633,plain,
( leq('#skF_28',minus(n0,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 )
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_520]) ).
tff(c_651,plain,
( leq('#skF_28',minus(n0,n1))
| ( sum(n0,minus(n5,n1),a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_633]) ).
tff(c_661,plain,
( leq('#skF_28',pred(n0))
| ( sum(n0,pred(n5),a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_651]) ).
tff(c_4846,plain,
( leq('#skF_28',tptp_minus_1)
| ( sum(n0,n4,a_select3(q,'#skF_30','#skF_31')) != n1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_757,c_751,c_661]) ).
tff(c_4847,plain,
sum(n0,n4,a_select3(q,'#skF_30','#skF_31')) != n1,
inference(splitLeft,[status(thm)],[c_4846]) ).
tff(c_6973,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1004,c_4847]) ).
tff(c_6974,plain,
leq('#skF_28',tptp_minus_1),
inference(splitRight,[status(thm)],[c_4846]) ).
tff(c_7195,plain,
! [Y_391,X_392] :
( gt(succ(Y_391),X_392)
| ~ leq(X_392,Y_391) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_9198,plain,
! [X_442] :
( gt(n0,X_442)
| ~ leq(X_442,tptp_minus_1) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_7195]) ).
tff(c_9219,plain,
gt(n0,'#skF_28'),
inference(resolution,[status(thm)],[c_6974,c_9198]) ).
tff(c_11090,plain,
gt('#skF_28','#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_11075,c_9219]) ).
tff(c_11139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_11090]) ).
tff(c_11141,plain,
n0 != '#skF_28',
inference(splitRight,[status(thm)],[c_10873]) ).
tff(c_7564,plain,
! [X_403,Y_404] :
( leq(X_403,succ(Y_404))
| ~ leq(X_403,Y_404) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_13866,plain,
! [X_556] :
( leq(X_556,n0)
| ~ leq(X_556,tptp_minus_1) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_7564]) ).
tff(c_13896,plain,
leq('#skF_28',n0),
inference(resolution,[status(thm)],[c_6974,c_13866]) ).
tff(c_596,plain,
! [X_185] :
( ( n0 = X_185 )
| ~ leq(X_185,n0)
| ~ leq(n0,X_185) ),
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_13961,plain,
( ( n0 = '#skF_28' )
| ~ leq(n0,'#skF_28') ),
inference(resolution,[status(thm)],[c_13896,c_596]) ).
tff(c_13977,plain,
n0 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_4798,c_13961]) ).
tff(c_13979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11141,c_13977]) ).
tff(c_13981,plain,
~ leq('#skF_30',pred(pv10)),
inference(splitRight,[status(thm)],[c_654]) ).
tff(c_526,plain,
( leq('#skF_28',minus(n0,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_627,plain,
( leq('#skF_28',minus(n0,n1))
| leq('#skF_30',minus(pv10,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_526]) ).
tff(c_645,plain,
( leq('#skF_28',minus(n0,n1))
| leq('#skF_30',minus(pv10,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_627]) ).
tff(c_658,plain,
( leq('#skF_28',pred(n0))
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_470,c_645]) ).
tff(c_13986,plain,
( leq('#skF_28',tptp_minus_1)
| leq('#skF_30',pred(pv10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_751,c_658]) ).
tff(c_13987,plain,
leq('#skF_30',pred(pv10)),
inference(splitLeft,[status(thm)],[c_13986]) ).
tff(c_14097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13981,c_13987]) ).
tff(c_14098,plain,
leq('#skF_28',tptp_minus_1),
inference(splitRight,[status(thm)],[c_13986]) ).
tff(c_18,plain,
! [X_13,Y_14] :
( geq(X_13,Y_14)
| ~ leq(Y_14,X_13) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_14111,plain,
geq(tptp_minus_1,'#skF_28'),
inference(resolution,[status(thm)],[c_14098,c_18]) ).
tff(c_13980,plain,
leq(n0,'#skF_28'),
inference(splitRight,[status(thm)],[c_654]) ).
tff(c_15690,plain,
! [X_602,Y_603] :
( leq(X_602,succ(Y_603))
| ~ leq(X_602,Y_603) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_15832,plain,
! [X_608] :
( leq(X_608,n0)
| ~ leq(X_608,tptp_minus_1) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_15690]) ).
tff(c_15848,plain,
leq('#skF_28',n0),
inference(resolution,[status(thm)],[c_14098,c_15832]) ).
tff(c_16637,plain,
! [X_626] :
( ( n0 = X_626 )
| ~ leq(X_626,n0)
| ~ leq(n0,X_626) ),
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_16639,plain,
( ( n0 = '#skF_28' )
| ~ leq(n0,'#skF_28') ),
inference(resolution,[status(thm)],[c_15848,c_16637]) ).
tff(c_16653,plain,
n0 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_13980,c_16639]) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_15882,plain,
! [Y_611,X_612] :
( gt(succ(Y_611),X_612)
| ~ leq(X_612,Y_611) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_15937,plain,
! [Y_613] : ~ leq(succ(Y_613),Y_613),
inference(resolution,[status(thm)],[c_15882,c_6]) ).
tff(c_16005,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[status(thm),theory(equality)],[c_448,c_15937]) ).
tff(c_16116,plain,
~ geq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[c_16,c_16005]) ).
tff(c_16662,plain,
~ geq(tptp_minus_1,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_16653,c_16116]) ).
tff(c_16711,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14111,c_16662]) ).
tff(c_16713,plain,
~ leq(n0,'#skF_30'),
inference(splitRight,[status(thm)],[c_639]) ).
tff(c_16727,plain,
! [X_628] : ( pred(succ(X_628)) = X_628 ),
inference(cnfTransformation,[status(thm)],[f_401]) ).
tff(c_16748,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_16727]) ).
tff(c_532,plain,
( leq('#skF_28',minus(n0,n1))
| leq(n0,'#skF_30')
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_621,plain,
( leq('#skF_28',minus(n0,n1))
| leq(n0,'#skF_30')
| ~ leq(pv10,minus(n135300,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_532]) ).
tff(c_637,plain,
( leq('#skF_28',minus(n0,n1))
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_621]) ).
tff(c_656,plain,
( leq('#skF_28',pred(n0))
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_470,c_637]) ).
tff(c_16926,plain,
( leq('#skF_28',tptp_minus_1)
| leq(n0,'#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_16748,c_656]) ).
tff(c_16927,plain,
leq('#skF_28',tptp_minus_1),
inference(negUnitSimplification,[status(thm)],[c_16713,c_16926]) ).
tff(c_16928,plain,
! [X_639,Y_640] :
( geq(X_639,Y_640)
| ~ leq(Y_640,X_639) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_16947,plain,
geq(tptp_minus_1,'#skF_28'),
inference(resolution,[status(thm)],[c_16927,c_16928]) ).
tff(c_16712,plain,
leq(n0,'#skF_28'),
inference(splitRight,[status(thm)],[c_639]) ).
tff(c_20345,plain,
! [Y_726,X_727] :
( gt(Y_726,X_727)
| ( Y_726 = X_727 )
| ~ leq(X_727,Y_726) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_20376,plain,
( gt('#skF_28',n0)
| ( n0 = '#skF_28' ) ),
inference(resolution,[status(thm)],[c_16712,c_20345]) ).
tff(c_20381,plain,
n0 = '#skF_28',
inference(splitLeft,[status(thm)],[c_20376]) ).
tff(c_18087,plain,
! [Y_681,X_682] :
( gt(succ(Y_681),X_682)
| ~ leq(X_682,Y_681) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_18134,plain,
! [Y_683] : ~ leq(succ(Y_683),Y_683),
inference(resolution,[status(thm)],[c_18087,c_6]) ).
tff(c_18170,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[status(thm),theory(equality)],[c_448,c_18134]) ).
tff(c_18209,plain,
~ geq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[c_16,c_18170]) ).
tff(c_20398,plain,
~ geq(tptp_minus_1,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_20381,c_18209]) ).
tff(c_20437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16947,c_20398]) ).
tff(c_20439,plain,
n0 != '#skF_28',
inference(splitRight,[status(thm)],[c_20376]) ).
tff(c_18846,plain,
! [X_694,Y_695] :
( leq(X_694,succ(Y_695))
| ~ leq(X_694,Y_695) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_21172,plain,
! [X_742] :
( leq(X_742,n0)
| ~ leq(X_742,tptp_minus_1) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_18846]) ).
tff(c_21194,plain,
leq('#skF_28',n0),
inference(resolution,[status(thm)],[c_16927,c_21172]) ).
tff(c_21215,plain,
( ( n0 = '#skF_28' )
| ~ leq(n0,'#skF_28') ),
inference(resolution,[status(thm)],[c_21194,c_596]) ).
tff(c_21224,plain,
n0 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_16712,c_21215]) ).
tff(c_21226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20439,c_21224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 23:17:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 18.23/5.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.37/5.75
% 18.37/5.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.52/5.79
% 18.52/5.79 Inference rules
% 18.52/5.79 ----------------------
% 18.52/5.79 #Ref : 0
% 18.52/5.79 #Sup : 5107
% 18.52/5.79 #Fact : 6
% 18.52/5.79 #Define : 0
% 18.52/5.79 #Split : 42
% 18.52/5.79 #Chain : 0
% 18.52/5.79 #Close : 0
% 18.52/5.79
% 18.52/5.79 Ordering : KBO
% 18.52/5.79
% 18.52/5.79 Simplification rules
% 18.52/5.79 ----------------------
% 18.52/5.79 #Subsume : 846
% 18.52/5.79 #Demod : 2611
% 18.52/5.79 #Tautology : 1576
% 18.52/5.79 #SimpNegUnit : 47
% 18.52/5.79 #BackRed : 590
% 18.52/5.79
% 18.52/5.79 #Partial instantiations: 0
% 18.52/5.79 #Strategies tried : 1
% 18.52/5.79
% 18.52/5.79 Timing (in seconds)
% 18.52/5.79 ----------------------
% 18.52/5.79 Preprocessing : 0.94
% 18.52/5.80 Parsing : 0.37
% 18.52/5.80 CNF conversion : 0.07
% 18.52/5.80 Main loop : 3.83
% 18.52/5.80 Inferencing : 1.05
% 18.52/5.80 Reduction : 1.64
% 18.52/5.80 Demodulation : 1.17
% 18.52/5.80 BG Simplification : 0.14
% 18.52/5.80 Subsumption : 0.76
% 18.52/5.80 Abstraction : 0.10
% 18.52/5.80 MUC search : 0.00
% 18.52/5.80 Cooper : 0.00
% 18.52/5.80 Total : 4.85
% 18.52/5.80 Index Insertion : 0.00
% 18.52/5.80 Index Deletion : 0.00
% 18.52/5.80 Index Matching : 0.00
% 18.52/5.80 BG Taut test : 0.00
%------------------------------------------------------------------------------