TSTP Solution File: SWV050+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV050+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 : n009.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 11:02:44 EDT 2023
% Result : Theorem 7.34s 2.74s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 78
% Syntax : Number of formulae : 90 ( 15 unt; 73 typ; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 2 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 163 ( 51 >; 112 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 68 ( 68 usr; 21 con; 0-8 aty)
% Number of variables : 6 (; 6 !; 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 > divide > dim > a_select2 > #nlpp > trans > succ > pred > inv > abs > use > true > tptp_minus_1 > tptp_float_0_0 > sigmaold > sigma > rhoold > rho > pv91 > pv89 > pv88 > pv87 > pv86 > n5 > n4 > n3 > n2 > n1 > n0 > muold > mu > 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(pv91,type,
pv91: $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(pv87,type,
pv87: $i ).
tff(sigmaold,type,
sigmaold: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(muold,type,
muold: $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rho,type,
rho: $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(pv86,type,
pv86: $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(abs,type,
abs: $i > $i ).
tff(n0,type,
n0: $i ).
tff(mu,type,
mu: $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(sigma,type,
sigma: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(rhoold,type,
rhoold: $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(pv89,type,
pv89: $i ).
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(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(pv88,type,
pv88: $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_372,axiom,
! [Body] : ( sum(n0,tptp_minus_1,Body) = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
tff(f_377,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
tff(f_401,axiom,
! [X] : ( pred(succ(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
tff(f_399,axiom,
! [X] : ( minus(X,n1) = pred(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
tff(f_489,negated_conjecture,
~ ( ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
& ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) )
=> ( ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) )
& ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
& ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0022) ).
tff(c_444,plain,
! [Body_128] : ( sum(n0,tptp_minus_1,Body_128) = n0 ),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_448,plain,
succ(tptp_minus_1) = n0,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_661,plain,
! [X_190] : ( pred(succ(X_190)) = X_190 ),
inference(cnfTransformation,[status(thm)],[f_401]) ).
tff(c_682,plain,
pred(n0) = tptp_minus_1,
inference(superposition,[status(thm),theory(equality)],[c_448,c_661]) ).
tff(c_470,plain,
! [X_140] : ( minus(X_140,n1) = pred(X_140) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_516,plain,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) = pv86,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_514,plain,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) = pv88,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_512,plain,
( ( sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) != pv88 )
| ( sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) != pv86 )
| ( sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0 ) ),
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_587,plain,
sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(demodulation,[status(thm),theory(equality)],[c_516,c_514,c_512]) ).
tff(c_590,plain,
sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(demodulation,[status(thm),theory(equality)],[c_470,c_587]) ).
tff(c_724,plain,
sum(n0,tptp_minus_1,divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(demodulation,[status(thm),theory(equality)],[c_682,c_590]) ).
tff(c_1020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_444,c_724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV050+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
% 0.13/0.34 % Computer : n009.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 : Thu Aug 3 22:26:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.34/2.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/2.74
% 7.34/2.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.34/2.77
% 7.34/2.77 Inference rules
% 7.34/2.77 ----------------------
% 7.34/2.77 #Ref : 0
% 7.34/2.77 #Sup : 134
% 7.34/2.77 #Fact : 0
% 7.34/2.77 #Define : 0
% 7.34/2.77 #Split : 0
% 7.34/2.77 #Chain : 0
% 7.34/2.77 #Close : 0
% 7.34/2.77
% 7.34/2.77 Ordering : KBO
% 7.34/2.77
% 7.34/2.77 Simplification rules
% 7.34/2.77 ----------------------
% 7.34/2.77 #Subsume : 0
% 7.34/2.77 #Demod : 63
% 7.34/2.77 #Tautology : 101
% 7.34/2.77 #SimpNegUnit : 0
% 7.34/2.77 #BackRed : 3
% 7.34/2.77
% 7.34/2.77 #Partial instantiations: 0
% 7.34/2.77 #Strategies tried : 1
% 7.34/2.77
% 7.34/2.77 Timing (in seconds)
% 7.34/2.77 ----------------------
% 7.34/2.77 Preprocessing : 0.97
% 7.34/2.77 Parsing : 0.37
% 7.34/2.77 CNF conversion : 0.08
% 7.34/2.77 Main loop : 0.76
% 7.34/2.77 Inferencing : 0.12
% 7.34/2.77 Reduction : 0.30
% 7.34/2.77 Demodulation : 0.21
% 7.34/2.77 BG Simplification : 0.12
% 7.34/2.77 Subsumption : 0.22
% 7.34/2.77 Abstraction : 0.08
% 7.34/2.77 MUC search : 0.00
% 7.34/2.77 Cooper : 0.00
% 7.34/2.77 Total : 1.79
% 7.34/2.77 Index Insertion : 0.00
% 7.34/2.77 Index Deletion : 0.00
% 7.34/2.77 Index Matching : 0.00
% 7.34/2.77 BG Taut test : 0.00
%------------------------------------------------------------------------------