TSTP Solution File: SWV091+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV091+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 : n017.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 11:02:51 EDT 2023
% Result : Theorem 19.10s 7.14s
% Output : CNFRefutation 19.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 83
% Syntax : Number of formulae : 253 ( 140 unt; 66 typ; 0 def)
% Number of atoms : 316 ( 229 equ)
% Maximal formula atoms : 48 ( 1 avg)
% Number of connectives : 263 ( 134 ~; 76 |; 47 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Maximal term depth : 8 ( 2 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 : 61 ( 61 usr; 16 con; 0-8 aty)
% Number of variables : 92 (; 92 !; 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 > xinit_noise_defuse > xinit_mean_defuse > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > rho_defuse > 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_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(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('#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(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('#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_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_668,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
tff(f_669,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
tff(f_453,axiom,
! [X,U,VAL] : ( a_select2(tptp_update2(X,U,VAL),U) = VAL ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
tff(f_460,axiom,
! [I,U,X,VAL,VAL2] :
( ( ( I != U )
& ( a_select2(X,U) = VAL ) )
=> ( a_select2(tptp_update2(X,I,VAL2),U) = VAL ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
tff(f_667,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
tff(f_665,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
tff(f_384,axiom,
! [X] : ( plus(X,n2) = succ(succ(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
tff(f_386,axiom,
! [X] : ( plus(n2,X) = succ(succ(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
tff(f_590,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
tff(f_576,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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use )
& ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
tff(f_94,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
tff(f_666,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
tff(f_112,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_116,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_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5459,plain,
! [X_325,Y_326] :
( geq(X_325,Y_326)
| ~ leq(Y_326,X_325) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5463,plain,
! [X_7] : geq(X_7,X_7),
inference(resolution,[status(thm)],[c_8,c_5459]) ).
tff(c_616,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_668]) ).
tff(c_618,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_669]) ).
tff(c_619,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_616,c_618]) ).
tff(c_498,plain,
! [X_168,U_169,VAL_170] : ( a_select2(tptp_update2(X_168,U_169,VAL_170),U_169) = VAL_170 ),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_500,plain,
! [X_173,I_171,VAL2_175,U_172] :
( ( a_select2(tptp_update2(X_173,I_171,VAL2_175),U_172) = a_select2(X_173,U_172) )
| ( U_172 = I_171 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_24436,plain,
! [X_846,I_847,VAL2_848,U_849] :
( ( a_select2(tptp_update2(X_846,I_847,VAL2_848),U_849) = a_select2(X_846,U_849) )
| ( U_849 = I_847 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_614,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_667]) ).
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_665]) ).
tff(c_622,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_619,c_620,c_614,c_610]) ).
tff(c_17791,plain,
! [X_678,I_679,VAL2_680,U_681] :
( ( a_select2(tptp_update2(X_678,I_679,VAL2_680),U_681) = a_select2(X_678,U_681) )
| ( U_681 = I_679 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_942,plain,
! [X_197] : ( succ(succ(X_197)) = plus(X_197,n2) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_966,plain,
plus(n1,n2) = succ(n2),
inference(superposition,[status(thm),theory(equality)],[c_620,c_942]) ).
tff(c_984,plain,
plus(n1,n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_619,c_966]) ).
tff(c_5367,plain,
! [X_324] : ( succ(succ(X_324)) = plus(n2,X_324) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_454,plain,
! [X_132] : ( succ(succ(X_132)) = plus(X_132,n2) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_5379,plain,
! [X_324] : ( plus(n2,X_324) = plus(X_324,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_5367,c_454]) ).
tff(c_10562,plain,
! [X_489,I_490,VAL2_491,U_492] :
( ( a_select2(tptp_update2(X_489,I_490,VAL2_491),U_492) = a_select2(X_489,U_492) )
| ( U_492 = I_490 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_8256,plain,
! [X_409,I_410,VAL2_411,U_412] :
( ( a_select2(tptp_update2(X_409,I_410,VAL2_411),U_412) = a_select2(X_409,U_412) )
| ( U_412 = I_410 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_580,plain,
gt(n4,n1),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_3637,plain,
! [X_279,I_280,VAL2_281,U_282] :
( ( a_select2(tptp_update2(X_279,I_280,VAL2_281),U_282) = a_select2(X_279,U_282) )
| ( U_282 = I_280 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_554,plain,
a_select2(rho_defuse,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_552,plain,
a_select2(rho_defuse,n1) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_550,plain,
a_select2(rho_defuse,n2) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_548,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_546,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_544,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_542,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_540,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_538,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_536,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_534,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_532,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_530,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_528,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_526,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_524,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_522,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_520,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_518,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_516,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_514,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_512,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n0) != use ) ),
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_625,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_552,c_550,c_548,c_546,c_544,c_542,c_540,c_538,c_536,c_534,c_532,c_530,c_528,c_526,c_524,c_522,c_520,c_518,c_516,c_514,c_512]) ).
tff(c_627,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[c_498,c_625]) ).
tff(c_1001,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use,
inference(splitLeft,[status(thm)],[c_627]) ).
tff(c_3647,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( n5 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3637,c_1001]) ).
tff(c_3678,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use,
inference(splitLeft,[status(thm)],[c_3647]) ).
tff(c_3954,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( n4 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_3678]) ).
tff(c_4181,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use,
inference(splitLeft,[status(thm)],[c_3954]) ).
tff(c_4369,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( n3 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4181]) ).
tff(c_4641,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4369]) ).
tff(c_4761,plain,
( ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use )
| ( n2 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4641]) ).
tff(c_4878,plain,
a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4761]) ).
tff(c_5047,plain,
( ( a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) != use )
| ( n1 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4878]) ).
tff(c_5049,plain,
n1 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5047]) ).
tff(c_5050,plain,
a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5049,c_4878]) ).
tff(c_5116,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5050]) ).
tff(c_5117,plain,
n2 = n0,
inference(splitRight,[status(thm)],[c_4761]) ).
tff(c_5121,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5117,c_4641]) ).
tff(c_5199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5121]) ).
tff(c_5200,plain,
n3 = n0,
inference(splitRight,[status(thm)],[c_4369]) ).
tff(c_5204,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5200,c_4181]) ).
tff(c_5261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5204]) ).
tff(c_5262,plain,
n4 = n0,
inference(splitRight,[status(thm)],[c_3954]) ).
tff(c_5266,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5262,c_3678]) ).
tff(c_5318,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5266]) ).
tff(c_5319,plain,
n5 = n0,
inference(splitRight,[status(thm)],[c_3647]) ).
tff(c_20,plain,
! [X_15,Y_16] :
( leq(X_15,Y_16)
| ~ gt(Y_16,X_15) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_612,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_666]) ).
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_969,plain,
plus(n4,n2) = succ(n5),
inference(superposition,[status(thm),theory(equality)],[c_623,c_942]) ).
tff(c_30,plain,
! [X_22,Y_23] :
( leq(X_22,succ(Y_23))
| ~ leq(X_22,Y_23) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1977,plain,
! [Y_234,X_235] :
( gt(succ(Y_234),X_235)
| ~ leq(X_235,Y_234) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_2024,plain,
! [Y_236] : ~ leq(succ(Y_236),Y_236),
inference(resolution,[status(thm)],[c_1977,c_6]) ).
tff(c_2034,plain,
! [Y_23] : ~ leq(succ(succ(Y_23)),Y_23),
inference(resolution,[status(thm)],[c_30,c_2024]) ).
tff(c_3029,plain,
! [Y_257] : ~ leq(plus(Y_257,n2),Y_257),
inference(demodulation,[status(thm),theory(equality)],[c_454,c_2034]) ).
tff(c_3051,plain,
~ leq(succ(n5),n4),
inference(superposition,[status(thm),theory(equality)],[c_969,c_3029]) ).
tff(c_3297,plain,
~ gt(n4,succ(n5)),
inference(resolution,[status(thm)],[c_20,c_3051]) ).
tff(c_5322,plain,
~ gt(n4,succ(n0)),
inference(demodulation,[status(thm),theory(equality)],[c_5319,c_3297]) ).
tff(c_5364,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_580,c_614,c_5322]) ).
tff(c_5365,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
inference(splitRight,[status(thm)],[c_627]) ).
tff(c_5473,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use,
inference(splitLeft,[status(thm)],[c_5365]) ).
tff(c_8266,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use )
| ( n5 = n4 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8256,c_5473]) ).
tff(c_8282,plain,
n5 = n4,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_8266]) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_6464,plain,
! [Y_363,X_364] :
( gt(succ(Y_363),X_364)
| ~ leq(X_364,Y_363) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6511,plain,
! [Y_365] : ~ leq(succ(Y_365),Y_365),
inference(resolution,[status(thm)],[c_6464,c_6]) ).
tff(c_6548,plain,
~ leq(n5,n4),
inference(superposition,[status(thm),theory(equality)],[c_623,c_6511]) ).
tff(c_6581,plain,
~ geq(n4,n5),
inference(resolution,[status(thm)],[c_16,c_6548]) ).
tff(c_8296,plain,
~ geq(n4,n4),
inference(demodulation,[status(thm),theory(equality)],[c_8282,c_6581]) ).
tff(c_8330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5463,c_8296]) ).
tff(c_8331,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ) ),
inference(splitRight,[status(thm)],[c_5365]) ).
tff(c_8496,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use,
inference(splitLeft,[status(thm)],[c_8331]) ).
tff(c_10568,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( n5 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10562,c_8496]) ).
tff(c_12251,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use,
inference(splitLeft,[status(thm)],[c_10568]) ).
tff(c_12493,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( n4 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_12251]) ).
tff(c_13248,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use,
inference(splitLeft,[status(thm)],[c_12493]) ).
tff(c_13906,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( n3 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_13248]) ).
tff(c_14556,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use,
inference(splitLeft,[status(thm)],[c_13906]) ).
tff(c_15181,plain,
( ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) != use )
| ( n2 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_14556]) ).
tff(c_15183,plain,
n2 = n1,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15181]) ).
tff(c_15184,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15183,c_14556]) ).
tff(c_15301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15184]) ).
tff(c_15302,plain,
n3 = n1,
inference(splitRight,[status(thm)],[c_13906]) ).
tff(c_15305,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15302,c_13248]) ).
tff(c_15385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15305]) ).
tff(c_15386,plain,
n4 = n1,
inference(splitRight,[status(thm)],[c_12493]) ).
tff(c_15395,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15386,c_12251]) ).
tff(c_15465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15395]) ).
tff(c_15466,plain,
n5 = n1,
inference(splitRight,[status(thm)],[c_10568]) ).
tff(c_8846,plain,
! [X_438,Y_439] :
( leq(X_438,succ(Y_439))
| ~ leq(X_438,Y_439) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_8890,plain,
! [X_438] :
( leq(X_438,n4)
| ~ leq(X_438,n3) ),
inference(superposition,[status(thm),theory(equality)],[c_622,c_8846]) ).
tff(c_11079,plain,
! [X_502] :
( leq(X_502,n5)
| ~ leq(X_502,n4) ),
inference(superposition,[status(thm),theory(equality)],[c_623,c_8846]) ).
tff(c_456,plain,
! [X_133] : ( succ(succ(X_133)) = plus(n2,X_133) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_8497,plain,
! [Y_427,X_428] :
( gt(succ(Y_427),X_428)
| ~ leq(X_428,Y_427) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_8533,plain,
! [Y_427] : ~ leq(succ(Y_427),Y_427),
inference(resolution,[status(thm)],[c_8497,c_6]) ).
tff(c_8850,plain,
! [Y_439] : ~ leq(succ(succ(Y_439)),Y_439),
inference(resolution,[status(thm)],[c_8846,c_8533]) ).
tff(c_8892,plain,
! [Y_439] : ~ leq(plus(n2,Y_439),Y_439),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_8850]) ).
tff(c_11125,plain,
~ leq(plus(n2,n5),n4),
inference(resolution,[status(thm)],[c_11079,c_8892]) ).
tff(c_11150,plain,
~ leq(plus(n2,n5),n3),
inference(resolution,[status(thm)],[c_8890,c_11125]) ).
tff(c_11159,plain,
~ geq(n3,plus(n2,n5)),
inference(resolution,[status(thm)],[c_16,c_11150]) ).
tff(c_15471,plain,
~ geq(n3,plus(n2,n1)),
inference(demodulation,[status(thm),theory(equality)],[c_15466,c_11159]) ).
tff(c_15529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5463,c_984,c_5379,c_15471]) ).
tff(c_15530,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use ) ),
inference(splitRight,[status(thm)],[c_8331]) ).
tff(c_15617,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use,
inference(splitLeft,[status(thm)],[c_15530]) ).
tff(c_17797,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( n5 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17791,c_15617]) ).
tff(c_20247,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use,
inference(splitLeft,[status(thm)],[c_17797]) ).
tff(c_21786,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use )
| ( n4 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_20247]) ).
tff(c_21788,plain,
n4 = n3,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21786]) ).
tff(c_21789,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3,use),n3) != use,
inference(demodulation,[status(thm),theory(equality)],[c_21788,c_20247]) ).
tff(c_21875,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21789]) ).
tff(c_21876,plain,
n5 = n3,
inference(splitRight,[status(thm)],[c_17797]) ).
tff(c_5406,plain,
plus(n2,n4) = succ(n5),
inference(superposition,[status(thm),theory(equality)],[c_623,c_5367]) ).
tff(c_15804,plain,
! [X_620,Y_621] :
( leq(X_620,succ(Y_621))
| ~ leq(X_620,Y_621) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_15532,plain,
! [Y_612,X_613] :
( gt(succ(Y_612),X_613)
| ~ leq(X_613,Y_612) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_15568,plain,
! [Y_612] : ~ leq(succ(Y_612),Y_612),
inference(resolution,[status(thm)],[c_15532,c_6]) ).
tff(c_15808,plain,
! [Y_621] : ~ leq(succ(succ(Y_621)),Y_621),
inference(resolution,[status(thm)],[c_15804,c_15568]) ).
tff(c_16424,plain,
! [Y_638] : ~ leq(plus(n2,Y_638),Y_638),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_15808]) ).
tff(c_16443,plain,
~ leq(succ(n5),n4),
inference(superposition,[status(thm),theory(equality)],[c_5406,c_16424]) ).
tff(c_16679,plain,
~ geq(n4,succ(n5)),
inference(resolution,[status(thm)],[c_16,c_16443]) ).
tff(c_21913,plain,
~ geq(n4,succ(n3)),
inference(demodulation,[status(thm),theory(equality)],[c_21876,c_16679]) ).
tff(c_21966,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5463,c_622,c_21913]) ).
tff(c_21967,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use,
inference(splitRight,[status(thm)],[c_15530]) ).
tff(c_24442,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( n5 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_24436,c_21967]) ).
tff(c_26321,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use,
inference(splitLeft,[status(thm)],[c_24442]) ).
tff(c_28553,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( n4 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_26321]) ).
tff(c_29480,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use,
inference(splitLeft,[status(thm)],[c_28553]) ).
tff(c_31875,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( n3 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_29480]) ).
tff(c_31877,plain,
n3 = n2,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_31875]) ).
tff(c_31878,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_31877,c_29480]) ).
tff(c_31985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_31878]) ).
tff(c_31986,plain,
n4 = n2,
inference(splitRight,[status(thm)],[c_28553]) ).
tff(c_31990,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_31986,c_26321]) ).
tff(c_32077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_31990]) ).
tff(c_32078,plain,
n5 = n2,
inference(splitRight,[status(thm)],[c_24442]) ).
tff(c_22199,plain,
! [X_787,Y_788] :
( leq(X_787,succ(Y_788))
| ~ leq(X_787,Y_788) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_25580,plain,
! [X_875] :
( leq(X_875,n4)
| ~ leq(X_875,n3) ),
inference(superposition,[status(thm),theory(equality)],[c_622,c_22199]) ).
tff(c_22203,plain,
! [Y_788] : ~ leq(succ(succ(Y_788)),Y_788),
inference(resolution,[status(thm)],[c_22199,c_15568]) ).
tff(c_22242,plain,
! [Y_788] : ~ leq(plus(n2,Y_788),Y_788),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_22203]) ).
tff(c_25615,plain,
~ leq(plus(n2,n4),n3),
inference(resolution,[status(thm)],[c_25580,c_22242]) ).
tff(c_25652,plain,
~ leq(succ(n5),n3),
inference(demodulation,[status(thm),theory(equality)],[c_5406,c_25615]) ).
tff(c_25670,plain,
~ geq(n3,succ(n5)),
inference(resolution,[status(thm)],[c_16,c_25652]) ).
tff(c_32103,plain,
~ geq(n3,succ(n2)),
inference(demodulation,[status(thm),theory(equality)],[c_32078,c_25670]) ).
tff(c_32180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5463,c_619,c_32103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:41:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 19.10/7.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.42/7.16
% 19.42/7.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.42/7.21
% 19.42/7.21 Inference rules
% 19.42/7.21 ----------------------
% 19.42/7.21 #Ref : 0
% 19.42/7.21 #Sup : 7151
% 19.42/7.21 #Fact : 10
% 19.42/7.21 #Define : 0
% 19.42/7.21 #Split : 31
% 19.42/7.21 #Chain : 0
% 19.42/7.21 #Close : 0
% 19.42/7.21
% 19.42/7.21 Ordering : KBO
% 19.42/7.21
% 19.42/7.21 Simplification rules
% 19.42/7.21 ----------------------
% 19.42/7.21 #Subsume : 1512
% 19.42/7.21 #Demod : 5312
% 19.42/7.21 #Tautology : 1849
% 19.42/7.21 #SimpNegUnit : 157
% 19.42/7.21 #BackRed : 2335
% 19.42/7.21
% 19.42/7.21 #Partial instantiations: 0
% 19.42/7.21 #Strategies tried : 1
% 19.42/7.21
% 19.42/7.21 Timing (in seconds)
% 19.42/7.21 ----------------------
% 19.42/7.21 Preprocessing : 0.96
% 19.42/7.21 Parsing : 0.38
% 19.42/7.21 CNF conversion : 0.07
% 19.42/7.21 Main loop : 5.02
% 19.42/7.21 Inferencing : 1.15
% 19.42/7.21 Reduction : 2.27
% 19.42/7.21 Demodulation : 1.64
% 19.42/7.21 BG Simplification : 0.17
% 19.42/7.21 Subsumption : 1.11
% 19.42/7.21 Abstraction : 0.14
% 19.42/7.21 MUC search : 0.00
% 19.42/7.21 Cooper : 0.00
% 19.42/7.21 Total : 6.06
% 19.42/7.21 Index Insertion : 0.00
% 19.42/7.21 Index Deletion : 0.00
% 19.42/7.21 Index Matching : 0.00
% 19.42/7.21 BG Taut test : 0.00
%------------------------------------------------------------------------------