TSTP Solution File: SWV199+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV199+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 : n007.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 11:03:10 EDT 2023
% Result : Theorem 19.84s 6.72s
% Output : CNFRefutation 20.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 78
% Syntax : Number of formulae : 191 ( 61 unt; 71 typ; 0 def)
% Number of atoms : 286 ( 124 equ)
% Maximal formula atoms : 51 ( 2 avg)
% Number of connectives : 280 ( 114 ~; 109 |; 48 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 49 >; 111 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 66 ( 66 usr; 21 con; 0-8 aty)
% Number of variables : 66 (; 66 !; 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 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > z_defuse > xinit_noise_defuse > xinit_mean_defuse > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > rho_defuse > pv5 > n998 > n5 > n4 > n3 > n2 > n1 > n0 > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #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_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(xinit_defuse,type,
xinit_defuse: $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('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $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(xinit_noise_defuse,type,
xinit_noise_defuse: $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('#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(z_defuse,type,
z_defuse: $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(rho_defuse,type,
rho_defuse: $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(n998,type,
n998: $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_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $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('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(u_defuse,type,
u_defuse: $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff(pv5,type,
pv5: $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(xinit_mean_defuse,type,
xinit_mean_defuse: $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(sigma_defuse,type,
sigma_defuse: $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_588,negated_conjecture,
~ ( ( ( a_select2(rho_defuse,n0) = use )
& ( a_select2(rho_defuse,n1) = use )
& ( a_select2(rho_defuse,n2) = use )
& ( a_select2(sigma_defuse,n0) = use )
& ( a_select2(sigma_defuse,n1) = use )
& ( a_select2(sigma_defuse,n2) = use )
& ( a_select2(sigma_defuse,n3) = use )
& ( a_select2(sigma_defuse,n4) = use )
& ( a_select2(sigma_defuse,n5) = use )
& ( a_select3(u_defuse,n0,n0) = use )
& ( a_select3(u_defuse,n1,n0) = use )
& ( a_select3(u_defuse,n2,n0) = use )
& ( a_select2(xinit_defuse,n3) = use )
& ( a_select2(xinit_defuse,n4) = use )
& ( a_select2(xinit_defuse,n5) = use )
& ( a_select2(xinit_mean_defuse,n0) = use )
& ( a_select2(xinit_mean_defuse,n1) = use )
& ( a_select2(xinit_mean_defuse,n2) = use )
& ( a_select2(xinit_mean_defuse,n3) = use )
& ( a_select2(xinit_mean_defuse,n4) = use )
& ( a_select2(xinit_mean_defuse,n5) = use )
& ( a_select2(xinit_noise_defuse,n0) = use )
& ( a_select2(xinit_noise_defuse,n1) = use )
& ( a_select2(xinit_noise_defuse,n2) = use )
& ( a_select2(xinit_noise_defuse,n3) = use )
& ( a_select2(xinit_noise_defuse,n4) = use )
& ( a_select2(xinit_noise_defuse,n5) = use )
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> ( a_select3(u_defuse,A,B) = use ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> ( a_select3(z_defuse,C,D) = use ) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( ( n0 = E )
& ( pv5 = F ) )
& ~ ( ( n1 = E )
& ( pv5 = F ) )
& ~ ( ( n2 = E )
& ( pv5 = F ) ) )
=> ( a_select3(z_defuse,E,F) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
tff(f_653,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> ( X = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
tff(f_106,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
tff(f_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_101,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(f_671,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n2) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_536,plain,
leq(n0,pv5),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_534,plain,
leq(pv5,n0),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_25454,plain,
! [X_856] :
( ( n0 = X_856 )
| ~ leq(X_856,n0)
| ~ leq(n0,X_856) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_25469,plain,
( ( pv5 = n0 )
| ~ leq(n0,pv5) ),
inference(resolution,[status(thm)],[c_534,c_25454]) ).
tff(c_25480,plain,
pv5 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_536,c_25469]) ).
tff(c_17718,plain,
! [X_663,Y_664] :
( leq(X_663,pred(Y_664))
| ~ gt(Y_664,X_663) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16357,plain,
! [X_614] :
( ( n0 = X_614 )
| ~ leq(X_614,n0)
| ~ leq(n0,X_614) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_16368,plain,
( ( pv5 = n0 )
| ~ leq(n0,pv5) ),
inference(resolution,[status(thm)],[c_534,c_16357]) ).
tff(c_16377,plain,
pv5 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_536,c_16368]) ).
tff(c_512,plain,
a_select3(z_defuse,'#skF_28','#skF_29') != use,
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_524,plain,
leq(n0,'#skF_29'),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_526,plain,
leq(n0,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_522,plain,
leq('#skF_28',n2),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_6215,plain,
! [X_345,Y_346] :
( leq(X_345,pred(Y_346))
| ~ gt(Y_346,X_345) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_528,plain,
! [C_183,D_184] :
( ( a_select3(z_defuse,C_183,D_184) = use )
| ~ leq(D_184,pred(pv5))
| ~ leq(C_183,n2)
| ~ leq(n0,D_184)
| ~ leq(n0,C_183) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_6382,plain,
! [C_358,X_359] :
( ( a_select3(z_defuse,C_358,X_359) = use )
| ~ leq(C_358,n2)
| ~ leq(n0,X_359)
| ~ leq(n0,C_358)
| ~ gt(pv5,X_359) ),
inference(resolution,[status(thm)],[c_6215,c_528]) ).
tff(c_6393,plain,
! [X_359] :
( ( a_select3(z_defuse,'#skF_28',X_359) = use )
| ~ leq(n0,X_359)
| ~ leq(n0,'#skF_28')
| ~ gt(pv5,X_359) ),
inference(resolution,[status(thm)],[c_522,c_6382]) ).
tff(c_6783,plain,
! [X_373] :
( ( a_select3(z_defuse,'#skF_28',X_373) = use )
| ~ leq(n0,X_373)
| ~ gt(pv5,X_373) ),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_6393]) ).
tff(c_6849,plain,
( ( a_select3(z_defuse,'#skF_28','#skF_29') = use )
| ~ gt(pv5,'#skF_29') ),
inference(resolution,[status(thm)],[c_524,c_6783]) ).
tff(c_6886,plain,
~ gt(pv5,'#skF_29'),
inference(negUnitSimplification,[status(thm)],[c_512,c_6849]) ).
tff(c_520,plain,
leq('#skF_29',pv5),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_7868,plain,
! [Y_388,X_389] :
( gt(Y_388,X_389)
| ( Y_388 = X_389 )
| ~ leq(X_389,Y_388) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_7925,plain,
( gt(pv5,'#skF_29')
| ( pv5 = '#skF_29' ) ),
inference(resolution,[status(thm)],[c_520,c_7868]) ).
tff(c_7968,plain,
pv5 = '#skF_29',
inference(negUnitSimplification,[status(thm)],[c_6886,c_7925]) ).
tff(c_7974,plain,
( gt(n0,pv5)
| ( pv5 = n0 ) ),
inference(resolution,[status(thm)],[c_534,c_7868]) ).
tff(c_8659,plain,
( gt(n0,'#skF_29')
| ( n0 = '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7968,c_7968,c_7974]) ).
tff(c_8660,plain,
n0 = '#skF_29',
inference(splitLeft,[status(thm)],[c_8659]) ).
tff(c_3474,plain,
! [X_274,Y_275] :
( leq(X_274,pred(Y_275))
| ~ gt(Y_275,X_274) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1072,plain,
! [C_206,D_207] :
( ( a_select3(z_defuse,C_206,D_207) = use )
| ~ leq(D_207,pred(pv5))
| ~ leq(C_206,n2)
| ~ leq(n0,D_207)
| ~ leq(n0,C_206) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_1084,plain,
! [C_206] :
( ( a_select3(z_defuse,C_206,pred(pv5)) = use )
| ~ leq(C_206,n2)
| ~ leq(n0,pred(pv5))
| ~ leq(n0,C_206) ),
inference(resolution,[status(thm)],[c_8,c_1072]) ).
tff(c_1236,plain,
~ leq(n0,pred(pv5)),
inference(splitLeft,[status(thm)],[c_1084]) ).
tff(c_3554,plain,
~ gt(pv5,n0),
inference(resolution,[status(thm)],[c_3474,c_1236]) ).
tff(c_3788,plain,
! [Y_284,X_285] :
( gt(Y_284,X_285)
| ( Y_284 = X_285 )
| ~ leq(X_285,Y_284) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_3842,plain,
( gt(pv5,n0)
| ( pv5 = n0 ) ),
inference(resolution,[status(thm)],[c_536,c_3788]) ).
tff(c_3870,plain,
pv5 = n0,
inference(negUnitSimplification,[status(thm)],[c_3554,c_3842]) ).
tff(c_3858,plain,
( gt(pv5,'#skF_29')
| ( pv5 = '#skF_29' ) ),
inference(resolution,[status(thm)],[c_520,c_3788]) ).
tff(c_4060,plain,
( gt(n0,'#skF_29')
| ( n0 = '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3870,c_3870,c_3858]) ).
tff(c_4061,plain,
n0 = '#skF_29',
inference(splitLeft,[status(thm)],[c_4060]) ).
tff(c_518,plain,
( ( pv5 != '#skF_29' )
| ( n0 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_753,plain,
n0 != '#skF_28',
inference(splitLeft,[status(thm)],[c_518]) ).
tff(c_4107,plain,
'#skF_29' != '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_753]) ).
tff(c_516,plain,
( ( pv5 != '#skF_29' )
| ( n1 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_736,plain,
n1 != '#skF_28',
inference(splitLeft,[status(thm)],[c_516]) ).
tff(c_514,plain,
( ( pv5 != '#skF_29' )
| ( n2 != '#skF_28' ) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_735,plain,
n2 != '#skF_28',
inference(splitLeft,[status(thm)],[c_514]) ).
tff(c_4119,plain,
leq('#skF_29','#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_526]) ).
tff(c_656,plain,
! [X_189] :
( ( n2 = X_189 )
| ( n1 = X_189 )
| ( n0 = X_189 )
| ~ leq(X_189,n2)
| ~ leq(n0,X_189) ),
inference(cnfTransformation,[status(thm)],[f_671]) ).
tff(c_5159,plain,
! [X_315] :
( ( n2 = X_315 )
| ( n1 = X_315 )
| ( X_315 = '#skF_29' )
| ~ leq(X_315,n2)
| ~ leq('#skF_29',X_315) ),
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_4061,c_656]) ).
tff(c_5179,plain,
( ( n2 = '#skF_28' )
| ( n1 = '#skF_28' )
| ( '#skF_29' = '#skF_28' )
| ~ leq('#skF_29','#skF_28') ),
inference(resolution,[status(thm)],[c_522,c_5159]) ).
tff(c_5197,plain,
( ( n2 = '#skF_28' )
| ( n1 = '#skF_28' )
| ( '#skF_29' = '#skF_28' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4119,c_5179]) ).
tff(c_5199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4107,c_736,c_735,c_5197]) ).
tff(c_5200,plain,
gt(n0,'#skF_29'),
inference(splitRight,[status(thm)],[c_4060]) ).
tff(c_3716,plain,
! [C_282,X_283] :
( ( a_select3(z_defuse,C_282,X_283) = use )
| ~ leq(C_282,n2)
| ~ leq(n0,X_283)
| ~ leq(n0,C_282)
| ~ gt(pv5,X_283) ),
inference(resolution,[status(thm)],[c_3474,c_528]) ).
tff(c_3731,plain,
! [X_283] :
( ( a_select3(z_defuse,'#skF_28',X_283) = use )
| ~ leq(n0,X_283)
| ~ leq(n0,'#skF_28')
| ~ gt(pv5,X_283) ),
inference(resolution,[status(thm)],[c_522,c_3716]) ).
tff(c_3743,plain,
! [X_283] :
( ( a_select3(z_defuse,'#skF_28',X_283) = use )
| ~ leq(n0,X_283)
| ~ gt(pv5,X_283) ),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_3731]) ).
tff(c_5503,plain,
! [X_323] :
( ( a_select3(z_defuse,'#skF_28',X_323) = use )
| ~ leq(n0,X_323)
| ~ gt(n0,X_323) ),
inference(demodulation,[status(thm),theory(equality)],[c_3870,c_3743]) ).
tff(c_5555,plain,
( ( a_select3(z_defuse,'#skF_28','#skF_29') = use )
| ~ gt(n0,'#skF_29') ),
inference(resolution,[status(thm)],[c_524,c_5503]) ).
tff(c_5584,plain,
a_select3(z_defuse,'#skF_28','#skF_29') = use,
inference(demodulation,[status(thm),theory(equality)],[c_5200,c_5555]) ).
tff(c_5586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_512,c_5584]) ).
tff(c_5588,plain,
leq(n0,pred(pv5)),
inference(splitRight,[status(thm)],[c_1084]) ).
tff(c_7789,plain,
! [Y_385,X_386] :
( gt(Y_385,X_386)
| ~ leq(X_386,pred(Y_385)) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_7833,plain,
gt(pv5,n0),
inference(resolution,[status(thm)],[c_5588,c_7789]) ).
tff(c_7980,plain,
gt('#skF_29',n0),
inference(demodulation,[status(thm),theory(equality)],[c_7968,c_7833]) ).
tff(c_8666,plain,
gt('#skF_29','#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_8660,c_7980]) ).
tff(c_8729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_8666]) ).
tff(c_8731,plain,
n0 != '#skF_29',
inference(splitRight,[status(thm)],[c_8659]) ).
tff(c_8002,plain,
leq('#skF_29',n0),
inference(demodulation,[status(thm),theory(equality)],[c_7968,c_534]) ).
tff(c_9129,plain,
! [X_414] :
( ( n0 = X_414 )
| ~ leq(X_414,n0)
| ~ leq(n0,X_414) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_9134,plain,
( ( n0 = '#skF_29' )
| ~ leq(n0,'#skF_29') ),
inference(resolution,[status(thm)],[c_8002,c_9129]) ).
tff(c_9153,plain,
n0 = '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_524,c_9134]) ).
tff(c_9155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8731,c_9153]) ).
tff(c_9156,plain,
pv5 != '#skF_29',
inference(splitRight,[status(thm)],[c_518]) ).
tff(c_9157,plain,
n0 = '#skF_28',
inference(splitRight,[status(thm)],[c_518]) ).
tff(c_9165,plain,
leq('#skF_28','#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_9157,c_524]) ).
tff(c_11233,plain,
! [X_484,Y_485] :
( leq(X_484,pred(Y_485))
| ~ gt(Y_485,X_484) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_9632,plain,
! [C_183,D_184] :
( ( a_select3(z_defuse,C_183,D_184) = use )
| ~ leq(D_184,pred(pv5))
| ~ leq(C_183,n2)
| ~ leq('#skF_28',D_184)
| ~ leq('#skF_28',C_183) ),
inference(demodulation,[status(thm),theory(equality)],[c_9157,c_9157,c_528]) ).
tff(c_11398,plain,
! [C_488,X_489] :
( ( a_select3(z_defuse,C_488,X_489) = use )
| ~ leq(C_488,n2)
| ~ leq('#skF_28',X_489)
| ~ leq('#skF_28',C_488)
| ~ gt(pv5,X_489) ),
inference(resolution,[status(thm)],[c_11233,c_9632]) ).
tff(c_11409,plain,
! [X_489] :
( ( a_select3(z_defuse,'#skF_28',X_489) = use )
| ~ leq('#skF_28',X_489)
| ~ leq('#skF_28','#skF_28')
| ~ gt(pv5,X_489) ),
inference(resolution,[status(thm)],[c_522,c_11398]) ).
tff(c_11563,plain,
! [X_491] :
( ( a_select3(z_defuse,'#skF_28',X_491) = use )
| ~ leq('#skF_28',X_491)
| ~ gt(pv5,X_491) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_11409]) ).
tff(c_11581,plain,
( ( a_select3(z_defuse,'#skF_28','#skF_29') = use )
| ~ gt(pv5,'#skF_29') ),
inference(resolution,[status(thm)],[c_9165,c_11563]) ).
tff(c_11595,plain,
~ gt(pv5,'#skF_29'),
inference(negUnitSimplification,[status(thm)],[c_512,c_11581]) ).
tff(c_12659,plain,
! [Y_512,X_513] :
( gt(Y_512,X_513)
| ( Y_512 = X_513 )
| ~ leq(X_513,Y_512) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_12686,plain,
( gt(pv5,'#skF_29')
| ( pv5 = '#skF_29' ) ),
inference(resolution,[status(thm)],[c_520,c_12659]) ).
tff(c_12710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9156,c_11595,c_12686]) ).
tff(c_12711,plain,
pv5 != '#skF_29',
inference(splitRight,[status(thm)],[c_516]) ).
tff(c_16404,plain,
n0 != '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_16377,c_12711]) ).
tff(c_16405,plain,
leq('#skF_29',n0),
inference(demodulation,[status(thm),theory(equality)],[c_16377,c_520]) ).
tff(c_652,plain,
! [X_187] :
( ( n0 = X_187 )
| ~ leq(X_187,n0)
| ~ leq(n0,X_187) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_16434,plain,
( ( n0 = '#skF_29' )
| ~ leq(n0,'#skF_29') ),
inference(resolution,[status(thm)],[c_16405,c_652]) ).
tff(c_16440,plain,
n0 = '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_524,c_16434]) ).
tff(c_16442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16404,c_16440]) ).
tff(c_16444,plain,
n2 = '#skF_28',
inference(splitRight,[status(thm)],[c_514]) ).
tff(c_16843,plain,
! [C_631,D_632] :
( ( a_select3(z_defuse,C_631,D_632) = use )
| ~ leq(D_632,pred(pv5))
| ~ leq(C_631,'#skF_28')
| ~ leq(n0,D_632)
| ~ leq(n0,C_631) ),
inference(demodulation,[status(thm),theory(equality)],[c_16444,c_528]) ).
tff(c_16855,plain,
! [C_631] :
( ( a_select3(z_defuse,C_631,pred(pv5)) = use )
| ~ leq(C_631,'#skF_28')
| ~ leq(n0,pred(pv5))
| ~ leq(n0,C_631) ),
inference(resolution,[status(thm)],[c_8,c_16843]) ).
tff(c_17104,plain,
~ leq(n0,pred(pv5)),
inference(splitLeft,[status(thm)],[c_16855]) ).
tff(c_17761,plain,
~ gt(pv5,n0),
inference(resolution,[status(thm)],[c_17718,c_17104]) ).
tff(c_20065,plain,
! [Y_728,X_729] :
( gt(Y_728,X_729)
| ( Y_728 = X_729 )
| ~ leq(X_729,Y_728) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_20116,plain,
( gt(pv5,n0)
| ( pv5 = n0 ) ),
inference(resolution,[status(thm)],[c_536,c_20065]) ).
tff(c_20142,plain,
pv5 = n0,
inference(negUnitSimplification,[status(thm)],[c_17761,c_20116]) ).
tff(c_16443,plain,
pv5 != '#skF_29',
inference(splitRight,[status(thm)],[c_514]) ).
tff(c_20167,plain,
n0 != '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_20142,c_16443]) ).
tff(c_20168,plain,
leq('#skF_29',n0),
inference(demodulation,[status(thm),theory(equality)],[c_20142,c_520]) ).
tff(c_20227,plain,
! [X_730] :
( ( n0 = X_730 )
| ~ leq(X_730,n0)
| ~ leq(n0,X_730) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_20229,plain,
( ( n0 = '#skF_29' )
| ~ leq(n0,'#skF_29') ),
inference(resolution,[status(thm)],[c_20168,c_20227]) ).
tff(c_20248,plain,
n0 = '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_524,c_20229]) ).
tff(c_20250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20167,c_20248]) ).
tff(c_20252,plain,
leq(n0,pred(pv5)),
inference(splitRight,[status(thm)],[c_16855]) ).
tff(c_25088,plain,
! [Y_848,X_849] :
( gt(Y_848,X_849)
| ~ leq(X_849,pred(Y_848)) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_25135,plain,
gt(pv5,n0),
inference(resolution,[status(thm)],[c_20252,c_25088]) ).
tff(c_25483,plain,
gt(n0,n0),
inference(demodulation,[status(thm),theory(equality)],[c_25480,c_25135]) ).
tff(c_25517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_25483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 22:48:09 EDT 2023
% 0.16/0.36 % CPUTime :
% 19.84/6.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/6.74
% 19.84/6.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.35/6.78
% 20.35/6.78 Inference rules
% 20.35/6.78 ----------------------
% 20.35/6.78 #Ref : 0
% 20.35/6.78 #Sup : 6247
% 20.35/6.78 #Fact : 8
% 20.35/6.78 #Define : 0
% 20.35/6.78 #Split : 24
% 20.35/6.78 #Chain : 0
% 20.35/6.78 #Close : 0
% 20.35/6.78
% 20.35/6.78 Ordering : KBO
% 20.35/6.78
% 20.35/6.78 Simplification rules
% 20.35/6.78 ----------------------
% 20.35/6.78 #Subsume : 751
% 20.35/6.78 #Demod : 2904
% 20.35/6.78 #Tautology : 2159
% 20.35/6.78 #SimpNegUnit : 73
% 20.35/6.78 #BackRed : 387
% 20.35/6.78
% 20.35/6.78 #Partial instantiations: 0
% 20.35/6.78 #Strategies tried : 1
% 20.35/6.78
% 20.35/6.78 Timing (in seconds)
% 20.35/6.78 ----------------------
% 20.35/6.78 Preprocessing : 0.94
% 20.35/6.78 Parsing : 0.36
% 20.35/6.78 CNF conversion : 0.07
% 20.35/6.78 Main loop : 4.75
% 20.35/6.78 Inferencing : 1.20
% 20.35/6.78 Reduction : 2.11
% 20.35/6.78 Demodulation : 1.57
% 20.35/6.78 BG Simplification : 0.14
% 20.35/6.78 Subsumption : 0.98
% 20.35/6.78 Abstraction : 0.11
% 20.35/6.78 MUC search : 0.00
% 20.35/6.78 Cooper : 0.00
% 20.35/6.78 Total : 5.76
% 20.35/6.78 Index Insertion : 0.00
% 20.35/6.78 Index Deletion : 0.00
% 20.35/6.78 Index Matching : 0.00
% 20.35/6.78 BG Taut test : 0.00
%------------------------------------------------------------------------------