TSTP Solution File: SWV090+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV090+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n014.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 19.91s 7.24s
% Output : CNFRefutation 20.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 86
% Syntax : Number of formulae : 260 ( 138 unt; 65 typ; 0 def)
% Number of atoms : 318 ( 204 equ)
% Maximal formula atoms : 36 ( 1 avg)
% Number of connectives : 257 ( 134 ~; 79 |; 36 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 60 ( 60 usr; 15 con; 0-8 aty)
% Number of variables : 109 (; 109 !; 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_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('#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/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_453,axiom,
! [X,U,VAL] : ( a_select2(tptp_update2(X,U,VAL),U) = VAL ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
tff(f_644,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
tff(f_645,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
tff(f_643,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
tff(f_641,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
tff(f_116,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(f_566,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
tff(f_94,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
tff(f_552,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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
tff(f_642,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
tff(f_386,axiom,
! [X] : ( plus(n2,X) = succ(succ(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
tff(f_112,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_384,axiom,
! [X] : ( plus(X,n2) = succ(succ(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
tff(f_108,axiom,
! [X] : gt(succ(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
tff(f_554,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
tff(f_68,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
tff(f_413,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5682,plain,
! [X_338,Y_339] :
( geq(X_338,Y_339)
| ~ leq(Y_339,X_338) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5686,plain,
! [X_7] : geq(X_7,X_7),
inference(resolution,[status(thm)],[c_8,c_5682]) ).
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_23764,plain,
! [X_837,I_838,VAL2_839,U_840] :
( ( a_select2(tptp_update2(X_837,I_838,VAL2_839),U_840) = a_select2(X_837,U_840) )
| ( U_840 = I_838 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_604,plain,
succ(succ(n0)) = n2,
inference(cnfTransformation,[status(thm)],[f_644]) ).
tff(c_606,plain,
succ(succ(succ(n0))) = n3,
inference(cnfTransformation,[status(thm)],[f_645]) ).
tff(c_607,plain,
succ(n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_604,c_606]) ).
tff(c_602,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_643]) ).
tff(c_608,plain,
succ(n1) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_604]) ).
tff(c_598,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnfTransformation,[status(thm)],[f_641]) ).
tff(c_610,plain,
succ(n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_607,c_608,c_602,c_598]) ).
tff(c_16263,plain,
! [Y_641,X_642] :
( gt(succ(Y_641),X_642)
| ~ leq(X_642,Y_641) ),
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_16310,plain,
! [Y_643] : ~ leq(succ(Y_643),Y_643),
inference(resolution,[status(thm)],[c_16263,c_6]) ).
tff(c_16379,plain,
~ leq(n4,n3),
inference(superposition,[status(thm),theory(equality)],[c_610,c_16310]) ).
tff(c_18014,plain,
! [X_682,I_683,VAL2_684,U_685] :
( ( a_select2(tptp_update2(X_682,I_683,VAL2_684),U_685) = a_select2(X_682,U_685) )
| ( U_685 = I_683 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_10807,plain,
! [X_495,I_496,VAL2_497,U_498] :
( ( a_select2(tptp_update2(X_495,I_496,VAL2_497),U_498) = a_select2(X_495,U_498) )
| ( U_498 = I_496 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_7946,plain,
! [X_414,I_415,VAL2_416,U_417] :
( ( a_select2(tptp_update2(X_414,I_415,VAL2_416),U_417) = a_select2(X_414,U_417) )
| ( U_417 = I_415 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_568,plain,
gt(n4,n1),
inference(cnfTransformation,[status(thm)],[f_566]) ).
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_908,plain,
! [X_199,Y_200] :
( geq(X_199,Y_200)
| ~ leq(Y_200,X_199) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1695,plain,
! [Y_221,X_222] :
( geq(Y_221,X_222)
| ~ gt(Y_221,X_222) ),
inference(resolution,[status(thm)],[c_20,c_908]) ).
tff(c_1782,plain,
geq(n4,n1),
inference(resolution,[status(thm)],[c_568,c_1695]) ).
tff(c_3680,plain,
! [X_278,I_279,VAL2_280,U_281] :
( ( a_select2(tptp_update2(X_278,I_279,VAL2_280),U_281) = a_select2(X_278,U_281) )
| ( U_281 = I_279 ) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_542,plain,
a_select2(rho_defuse,n0) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_540,plain,
a_select2(rho_defuse,n1) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_538,plain,
a_select2(rho_defuse,n2) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_536,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_534,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_532,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_530,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_528,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_526,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_524,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_522,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_520,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_518,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_516,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_514,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnfTransformation,[status(thm)],[f_552]) ).
tff(c_512,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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_552]) ).
tff(c_613,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[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_615,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(demodulation,[status(thm),theory(equality)],[c_498,c_613]) ).
tff(c_880,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use,
inference(splitLeft,[status(thm)],[c_615]) ).
tff(c_3690,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use )
| ( n5 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3680,c_880]) ).
tff(c_3999,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use,
inference(splitLeft,[status(thm)],[c_3690]) ).
tff(c_4151,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( n4 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_3999]) ).
tff(c_4381,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4151]) ).
tff(c_4413,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( n3 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4381]) ).
tff(c_4588,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4413]) ).
tff(c_4753,plain,
( ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use )
| ( n2 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_4588]) ).
tff(c_5070,plain,
a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use,
inference(splitLeft,[status(thm)],[c_4753]) ).
tff(c_5264,plain,
( ( a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) != use )
| ( n1 = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_5070]) ).
tff(c_5266,plain,
n1 = n0,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5264]) ).
tff(c_5267,plain,
a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5266,c_5070]) ).
tff(c_5334,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5267]) ).
tff(c_5335,plain,
n2 = n0,
inference(splitRight,[status(thm)],[c_4753]) ).
tff(c_5342,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5335,c_4588]) ).
tff(c_5420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5342]) ).
tff(c_5421,plain,
n3 = n0,
inference(splitRight,[status(thm)],[c_4413]) ).
tff(c_5426,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5421,c_4381]) ).
tff(c_5481,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5426]) ).
tff(c_5482,plain,
n4 = n0,
inference(splitRight,[status(thm)],[c_4151]) ).
tff(c_5486,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0,use),n0) != use,
inference(demodulation,[status(thm),theory(equality)],[c_5482,c_3999]) ).
tff(c_5537,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_5486]) ).
tff(c_5538,plain,
n5 = n0,
inference(splitRight,[status(thm)],[c_3690]) ).
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_600,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnfTransformation,[status(thm)],[f_642]) ).
tff(c_609,plain,
succ(succ(n3)) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_607,c_608,c_602,c_600]) ).
tff(c_611,plain,
succ(n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_610,c_609]) ).
tff(c_918,plain,
! [X_202] : ( succ(succ(X_202)) = plus(n2,X_202) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_951,plain,
plus(n2,n4) = succ(n5),
inference(superposition,[status(thm),theory(equality)],[c_611,c_918]) ).
tff(c_456,plain,
! [X_133] : ( succ(succ(X_133)) = plus(n2,X_133) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
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_1969,plain,
! [Y_231,X_232] :
( gt(succ(Y_231),X_232)
| ~ leq(X_232,Y_231) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_2016,plain,
! [Y_233] : ~ leq(succ(Y_233),Y_233),
inference(resolution,[status(thm)],[c_1969,c_6]) ).
tff(c_2020,plain,
! [Y_23] : ~ leq(succ(succ(Y_23)),Y_23),
inference(resolution,[status(thm)],[c_30,c_2016]) ).
tff(c_3179,plain,
! [Y_260] : ~ leq(plus(n2,Y_260),Y_260),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_2020]) ).
tff(c_3200,plain,
~ leq(succ(n5),n4),
inference(superposition,[status(thm),theory(equality)],[c_951,c_3179]) ).
tff(c_3435,plain,
~ geq(n4,succ(n5)),
inference(resolution,[status(thm)],[c_16,c_3200]) ).
tff(c_5540,plain,
~ geq(n4,succ(n0)),
inference(demodulation,[status(thm),theory(equality)],[c_5538,c_3435]) ).
tff(c_5581,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_602,c_5540]) ).
tff(c_5582,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
inference(splitRight,[status(thm)],[c_615]) ).
tff(c_5698,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use,
inference(splitLeft,[status(thm)],[c_5582]) ).
tff(c_7956,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use )
| ( n5 = n4 ) ),
inference(superposition,[status(thm),theory(equality)],[c_7946,c_5698]) ).
tff(c_7972,plain,
n5 = n4,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_7956]) ).
tff(c_6183,plain,
! [Y_363,X_364] :
( gt(succ(Y_363),X_364)
| ~ leq(X_364,Y_363) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6223,plain,
! [Y_365] : ~ leq(succ(Y_365),Y_365),
inference(resolution,[status(thm)],[c_6183,c_6]) ).
tff(c_6263,plain,
~ leq(n5,n4),
inference(superposition,[status(thm),theory(equality)],[c_611,c_6223]) ).
tff(c_6307,plain,
~ geq(n4,n5),
inference(resolution,[status(thm)],[c_16,c_6263]) ).
tff(c_7992,plain,
~ geq(n4,n4),
inference(demodulation,[status(thm),theory(equality)],[c_7972,c_6307]) ).
tff(c_8027,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5686,c_7992]) ).
tff(c_8028,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ) ),
inference(splitRight,[status(thm)],[c_5582]) ).
tff(c_8288,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use,
inference(splitLeft,[status(thm)],[c_8028]) ).
tff(c_10813,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( n5 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10807,c_8288]) ).
tff(c_11986,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use,
inference(splitLeft,[status(thm)],[c_10813]) ).
tff(c_12436,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( n4 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_11986]) ).
tff(c_13181,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use,
inference(splitLeft,[status(thm)],[c_12436]) ).
tff(c_13831,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( n3 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_13181]) ).
tff(c_14431,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use,
inference(splitLeft,[status(thm)],[c_13831]) ).
tff(c_14840,plain,
( ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) != use )
| ( n2 = n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_14431]) ).
tff(c_14842,plain,
n2 = n1,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_14840]) ).
tff(c_14843,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_14842,c_14431]) ).
tff(c_14953,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_14843]) ).
tff(c_14954,plain,
n3 = n1,
inference(splitRight,[status(thm)],[c_13831]) ).
tff(c_14964,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_13181]) ).
tff(c_15041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_14964]) ).
tff(c_15042,plain,
n4 = n1,
inference(splitRight,[status(thm)],[c_12436]) ).
tff(c_15051,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1,use),n1) != use,
inference(demodulation,[status(thm),theory(equality)],[c_15042,c_11986]) ).
tff(c_15120,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_15051]) ).
tff(c_15121,plain,
n5 = n1,
inference(splitRight,[status(thm)],[c_10813]) ).
tff(c_8882,plain,
! [X_444,Y_445] :
( leq(X_444,succ(Y_445))
| ~ leq(X_444,Y_445) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_8919,plain,
! [X_444] :
( leq(X_444,n2)
| ~ leq(X_444,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_608,c_8882]) ).
tff(c_8035,plain,
! [X_420] : ( succ(succ(X_420)) = plus(n2,X_420) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_8086,plain,
plus(n2,n3) = succ(n4),
inference(superposition,[status(thm),theory(equality)],[c_610,c_8035]) ).
tff(c_8093,plain,
plus(n2,n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_611,c_8086]) ).
tff(c_454,plain,
! [X_132] : ( succ(succ(X_132)) = plus(X_132,n2) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_8065,plain,
! [X_132] : ( plus(n2,X_132) = plus(X_132,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_454,c_8035]) ).
tff(c_11669,plain,
! [X_521] :
( leq(X_521,n3)
| ~ leq(X_521,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_607,c_8882]) ).
tff(c_8610,plain,
! [Y_437,X_438] :
( gt(succ(Y_437),X_438)
| ~ leq(X_438,Y_437) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_8650,plain,
! [Y_437] : ~ leq(succ(Y_437),Y_437),
inference(resolution,[status(thm)],[c_8610,c_6]) ).
tff(c_8886,plain,
! [Y_445] : ~ leq(succ(succ(Y_445)),Y_445),
inference(resolution,[status(thm)],[c_8882,c_8650]) ).
tff(c_8936,plain,
! [Y_445] : ~ leq(plus(Y_445,n2),Y_445),
inference(demodulation,[status(thm),theory(equality)],[c_454,c_8886]) ).
tff(c_11692,plain,
~ leq(plus(n3,n2),n2),
inference(resolution,[status(thm)],[c_11669,c_8936]) ).
tff(c_11727,plain,
~ leq(n5,n2),
inference(demodulation,[status(thm),theory(equality)],[c_8093,c_8065,c_11692]) ).
tff(c_11814,plain,
~ leq(n5,n1),
inference(resolution,[status(thm)],[c_8919,c_11727]) ).
tff(c_11848,plain,
~ geq(n1,n5),
inference(resolution,[status(thm)],[c_16,c_11814]) ).
tff(c_15125,plain,
~ geq(n1,n1),
inference(demodulation,[status(thm),theory(equality)],[c_15121,c_11848]) ).
tff(c_15184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5686,c_15125]) ).
tff(c_15185,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use ) ),
inference(splitRight,[status(thm)],[c_8028]) ).
tff(c_15563,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use,
inference(splitLeft,[status(thm)],[c_15185]) ).
tff(c_18020,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( n5 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18014,c_15563]) ).
tff(c_20134,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use,
inference(splitLeft,[status(thm)],[c_18020]) ).
tff(c_21280,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use )
| ( n4 = n3 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_20134]) ).
tff(c_21282,plain,
n4 = n3,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21280]) ).
tff(c_21283,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3,use),n3) != use,
inference(demodulation,[status(thm),theory(equality)],[c_21282,c_20134]) ).
tff(c_21366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_21283]) ).
tff(c_21367,plain,
n5 = n3,
inference(splitRight,[status(thm)],[c_18020]) ).
tff(c_28,plain,
! [X_21] : gt(succ(X_21),X_21),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_544,plain,
gt(n5,n4),
inference(cnfTransformation,[status(thm)],[f_554]) ).
tff(c_17609,plain,
! [X_669,Z_670,Y_671] :
( gt(X_669,Z_670)
| ~ gt(Y_671,Z_670)
| ~ gt(X_669,Y_671) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_18976,plain,
! [X_714] :
( gt(X_714,n4)
| ~ gt(X_714,n5) ),
inference(resolution,[status(thm)],[c_544,c_17609]) ).
tff(c_18996,plain,
gt(succ(n5),n4),
inference(resolution,[status(thm)],[c_28,c_18976]) ).
tff(c_34,plain,
! [X_24,Y_25] :
( leq(X_24,Y_25)
| ~ gt(succ(Y_25),X_24) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_19010,plain,
leq(n4,n5),
inference(resolution,[status(thm)],[c_18996,c_34]) ).
tff(c_21387,plain,
leq(n4,n3),
inference(demodulation,[status(thm),theory(equality)],[c_21367,c_19010]) ).
tff(c_21446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16379,c_21387]) ).
tff(c_21447,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use,
inference(splitRight,[status(thm)],[c_15185]) ).
tff(c_23770,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use )
| ( n5 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_23764,c_21447]) ).
tff(c_26450,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use,
inference(splitLeft,[status(thm)],[c_23770]) ).
tff(c_27959,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( n4 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_26450]) ).
tff(c_28517,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use,
inference(splitLeft,[status(thm)],[c_27959]) ).
tff(c_30011,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( n3 = n2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_28517]) ).
tff(c_30013,plain,
n3 = n2,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30011]) ).
tff(c_30014,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_30013,c_28517]) ).
tff(c_30114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30014]) ).
tff(c_30115,plain,
n4 = n2,
inference(splitRight,[status(thm)],[c_27959]) ).
tff(c_30123,plain,
a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2,use),n2) != use,
inference(demodulation,[status(thm),theory(equality)],[c_30115,c_26450]) ).
tff(c_30209,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_498,c_30123]) ).
tff(c_30210,plain,
n5 = n2,
inference(splitRight,[status(thm)],[c_23770]) ).
tff(c_21622,plain,
! [Y_781,X_782] :
( gt(succ(Y_781),X_782)
| ~ leq(X_782,Y_781) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_21669,plain,
! [Y_783] : ~ leq(succ(Y_783),Y_783),
inference(resolution,[status(thm)],[c_21622,c_6]) ).
tff(c_21710,plain,
~ leq(n4,n3),
inference(superposition,[status(thm),theory(equality)],[c_610,c_21669]) ).
tff(c_21787,plain,
~ gt(n3,n4),
inference(resolution,[status(thm)],[c_20,c_21710]) ).
tff(c_21805,plain,
! [X_786,Y_787] :
( leq(X_786,succ(Y_787))
| ~ leq(X_786,Y_787) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_26017,plain,
! [X_902] :
( leq(X_902,n3)
| ~ leq(X_902,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_607,c_21805]) ).
tff(c_8151,plain,
! [Y_422,X_423] :
( gt(Y_422,X_423)
| ~ leq(succ(X_423),Y_422) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_8180,plain,
! [Y_422] :
( gt(Y_422,n4)
| ~ leq(n5,Y_422) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_8151]) ).
tff(c_26061,plain,
( gt(n3,n4)
| ~ leq(n5,n2) ),
inference(resolution,[status(thm)],[c_26017,c_8180]) ).
tff(c_26100,plain,
~ leq(n5,n2),
inference(negUnitSimplification,[status(thm)],[c_21787,c_26061]) ).
tff(c_26125,plain,
~ geq(n2,n5),
inference(resolution,[status(thm)],[c_16,c_26100]) ).
tff(c_30212,plain,
~ geq(n2,n2),
inference(demodulation,[status(thm),theory(equality)],[c_30210,c_26125]) ).
tff(c_30289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5686,c_30212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV090+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:40:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 19.91/7.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.91/7.25
% 19.91/7.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.00/7.31
% 20.00/7.31 Inference rules
% 20.00/7.31 ----------------------
% 20.00/7.31 #Ref : 0
% 20.00/7.31 #Sup : 6778
% 20.00/7.31 #Fact : 10
% 20.00/7.31 #Define : 0
% 20.00/7.31 #Split : 31
% 20.00/7.31 #Chain : 0
% 20.00/7.31 #Close : 0
% 20.00/7.31
% 20.00/7.31 Ordering : KBO
% 20.00/7.31
% 20.00/7.31 Simplification rules
% 20.00/7.31 ----------------------
% 20.00/7.31 #Subsume : 1331
% 20.00/7.31 #Demod : 4792
% 20.00/7.31 #Tautology : 1712
% 20.00/7.31 #SimpNegUnit : 152
% 20.00/7.31 #BackRed : 2203
% 20.00/7.31
% 20.00/7.31 #Partial instantiations: 0
% 20.00/7.31 #Strategies tried : 1
% 20.00/7.31
% 20.00/7.31 Timing (in seconds)
% 20.00/7.31 ----------------------
% 20.00/7.31 Preprocessing : 0.95
% 20.00/7.31 Parsing : 0.37
% 20.00/7.31 CNF conversion : 0.07
% 20.00/7.31 Main loop : 5.27
% 20.00/7.31 Inferencing : 1.21
% 20.00/7.31 Reduction : 2.38
% 20.00/7.31 Demodulation : 1.73
% 20.00/7.31 BG Simplification : 0.17
% 20.00/7.31 Subsumption : 1.16
% 20.00/7.31 Abstraction : 0.15
% 20.00/7.31 MUC search : 0.00
% 20.00/7.31 Cooper : 0.00
% 20.00/7.31 Total : 6.30
% 20.00/7.31 Index Insertion : 0.00
% 20.00/7.31 Index Deletion : 0.00
% 20.00/7.31 Index Matching : 0.00
% 20.00/7.31 BG Taut test : 0.00
%------------------------------------------------------------------------------