%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV161+1 : TPTP v9.0.0. 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 : n010.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 : Wed Apr 9 09:29:39 PM UTC 2025
% Result : Theorem 9.82s 3.18s
% Output : CNFRefutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 12 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 9 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 12 ( 12 !; 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 > use > true > tptp_sum_index > tptp_minus_1 > tptp_float_0_0 > q > pv10 > n5 > n4 > n3 > n2 > n135299 > 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_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(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(n135299,type,
n135299: $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(pv10,type,
pv10: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff('#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(tptp_sum_index,type,
tptp_sum_index: $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(q,type,
q: $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_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(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_499,negated_conjecture,
~ ( ( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1 )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv10)) )
=> ( sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) ) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,pv10) )
=> ( sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0011) ).
tff(f_105,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
tff(f_100,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(c_512,plain,
sum(n0,n4,a_select3(q,'#skF_28',tptp_sum_index)) != n1,
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_516,plain,
leq(n0,'#skF_28'),
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_1571,plain,
! [X_224,Y_225] :
( leq(X_224,pred(Y_225))
| ~ gt(Y_225,X_224) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_518,plain,
! [A_181] :
( ( sum(n0,n4,a_select3(q,A_181,tptp_sum_index)) = n1 )
| ~ leq(A_181,pred(pv10))
| ~ leq(n0,A_181) ),
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_1614,plain,
! [X_226] :
( ( sum(n0,n4,a_select3(q,X_226,tptp_sum_index)) = n1 )
| ~ leq(n0,X_226)
| ~ gt(pv10,X_226) ),
inference(resolution,[status(thm)],[c_1571,c_518]) ).
tff(c_1623,plain,
( ~ leq(n0,'#skF_28')
| ~ gt(pv10,'#skF_28') ),
inference(superposition,[status(thm),theory(equality)],[c_1614,c_512]) ).
tff(c_1635,plain,
~ gt(pv10,'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_516,c_1623]) ).
tff(c_514,plain,
leq('#skF_28',pv10),
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_3078,plain,
! [Y_263,X_264] :
( gt(Y_263,X_264)
| ( Y_263 = X_264 )
| ~ leq(X_264,Y_263) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3129,plain,
( gt(pv10,'#skF_28')
| ( pv10 = '#skF_28' ) ),
inference(resolution,[status(thm)],[c_514,c_3078]) ).
tff(c_3154,plain,
pv10 = '#skF_28',
inference(negUnitSimplification,[status(thm)],[c_1635,c_3129]) ).
tff(c_524,plain,
sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1,
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_3173,plain,
sum(n0,n4,a_select3(q,'#skF_28',tptp_sum_index)) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_524]) ).
tff(c_3182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_512,c_3173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV161+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 02:49:03 EDT 2025
% 0.13/0.34 % CPUTime :
% 9.82/3.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.82/3.18
% 9.82/3.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------