TSTP Solution File: NUM924+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% 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 : n011.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 10:53:06 EDT 2023
% Result : Theorem 13.34s 4.48s
% Output : CNFRefutation 13.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 67
% Syntax : Number of formulae : 91 ( 37 unt; 54 typ; 0 def)
% Number of atoms : 37 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 66 ( 37 >; 29 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 17 con; 0-3 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ zcong > quadRes > ord_less_real > ord_less_nat > ord_less_int > ord_less_eq_real > ord_less_eq_nat > ord_less_eq_int > dvd_dvd_real > dvd_dvd_nat > dvd_dvd_int > zprime > twoSqu142715416sum2sq > is_int > times_times_real > times_times_nat > times_times_int > power_power_real > power_power_nat > power_power_int > plus_plus_real > plus_plus_nat > plus_plus_int > minus_minus_real > minus_minus_nat > minus_minus_int > legendre > #nlpp > undefined_int > number_number_of_nat > number_number_of_int > number267125858f_real > bit1 > bit0 > zero_zero_real > zero_zero_nat > zero_zero_int > t > s1 > s > pls > one_one_real > one_one_nat > one_one_int > min > m > int > #skF_4 > #skF_6 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_7
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(power_power_int,type,
power_power_int: ( $i * $i ) > $i ).
tff(m,type,
m: $i ).
tff(times_times_real,type,
times_times_real: ( $i * $i ) > $i ).
tff(one_one_int,type,
one_one_int: $i ).
tff(minus_minus_real,type,
minus_minus_real: ( $i * $i ) > $i ).
tff(s1,type,
s1: $i ).
tff(times_times_int,type,
times_times_int: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(min,type,
min: $i ).
tff(power_power_nat,type,
power_power_nat: ( $i * $i ) > $i ).
tff(number267125858f_real,type,
number267125858f_real: $i > $i ).
tff(t,type,
t: $i ).
tff(pls,type,
pls: $i ).
tff(number_number_of_nat,type,
number_number_of_nat: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(undefined_int,type,
undefined_int: $i > $i ).
tff(zcong,type,
zcong: ( $i * $i * $i ) > $o ).
tff(zprime,type,
zprime: $i > $o ).
tff(is_int,type,
is_int: $i > $o ).
tff(bit0,type,
bit0: $i > $i ).
tff(twoSqu142715416sum2sq,type,
twoSqu142715416sum2sq: $i > $o ).
tff(s,type,
s: $i ).
tff(ord_less_real,type,
ord_less_real: ( $i * $i ) > $o ).
tff(dvd_dvd_nat,type,
dvd_dvd_nat: ( $i * $i ) > $o ).
tff(power_power_real,type,
power_power_real: ( $i * $i ) > $i ).
tff(one_one_real,type,
one_one_real: $i ).
tff(quadRes,type,
quadRes: ( $i * $i ) > $o ).
tff(times_times_nat,type,
times_times_nat: ( $i * $i ) > $i ).
tff(number_number_of_int,type,
number_number_of_int: $i > $i ).
tff(minus_minus_nat,type,
minus_minus_nat: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(one_one_nat,type,
one_one_nat: $i ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: ( $i * $i ) > $o ).
tff(zero_zero_int,type,
zero_zero_int: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(plus_plus_real,type,
plus_plus_real: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(plus_plus_int,type,
plus_plus_int: ( $i * $i ) > $i ).
tff(int,type,
int: $i ).
tff(dvd_dvd_int,type,
dvd_dvd_int: ( $i * $i ) > $o ).
tff(dvd_dvd_real,type,
dvd_dvd_real: ( $i * $i ) > $o ).
tff(bit1,type,
bit1: $i > $i ).
tff(zero_zero_real,type,
zero_zero_real: $i ).
tff(ord_less_eq_real,type,
ord_less_eq_real: ( $i * $i ) > $o ).
tff(legendre,type,
legendre: ( $i * $i ) > $i ).
tff(ord_less_nat,type,
ord_less_nat: ( $i * $i ) > $o ).
tff(ord_less_int,type,
ord_less_int: ( $i * $i ) > $o ).
tff(plus_plus_nat,type,
plus_plus_nat: ( $i * $i ) > $i ).
tff(zero_zero_nat,type,
zero_zero_nat: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(minus_minus_int,type,
minus_minus_int: ( $i * $i ) > $i ).
tff(ord_less_eq_int,type,
ord_less_eq_int: ( $i * $i ) > $o ).
tff(f_781,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_Pls__def) ).
tff(f_1256,axiom,
! [A_46,C_12] : ( plus_plus_int(A_46,C_12) = plus_plus_int(C_12,A_46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f_1703,axiom,
! [X_10] : ( times_times_int(X_10,X_10) = power_power_int(X_10,number_number_of_nat(bit0(bit1(pls)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
tff(f_2998,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_1007,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_semiring__one__add__one__is__two) ).
tff(f_985,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_semiring__norm_I110_J) ).
tff(f_813,axiom,
! [K_1] : ( bit0(K_1) = plus_plus_int(K_1,K_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_Bit0__def) ).
tff(f_1545,axiom,
! [M_11] : ( plus_plus_int(M_11,M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
tff(f_829,axiom,
! [W_11] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_double__number__of__Bit0) ).
tff(f_1250,axiom,
! [A_47,B_18] : ( times_times_int(A_47,B_18) = times_times_int(B_18,A_47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f_82,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
tff(f_1344,axiom,
! [A_38] : ( times_times_int(zero_zero_int,A_38) = zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_359_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
tff(f_81,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
tff(c_556,plain,
zero_zero_int = pls,
inference(cnfTransformation,[status(thm)],[f_781]) ).
tff(c_954,plain,
! [C_12_525,A_46_524] : ( plus_plus_int(C_12_525,A_46_524) = plus_plus_int(A_46_524,C_12_525) ),
inference(cnfTransformation,[status(thm)],[f_1256]) ).
tff(c_1236,plain,
! [X_10_774] : ( times_times_int(X_10_774,X_10_774) = power_power_int(X_10_774,number_number_of_nat(bit0(bit1(pls)))) ),
inference(cnfTransformation,[status(thm)],[f_1703]) ).
tff(c_1931,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnfTransformation,[status(thm)],[f_2998]) ).
tff(c_1959,plain,
~ ord_less_int(plus_plus_int(times_times_int(s,s),one_one_int),zero_zero_int),
inference(demodulation,[status(thm),theory(equality)],[c_1236,c_1931]) ).
tff(c_2002,plain,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int),
inference(demodulation,[status(thm),theory(equality)],[c_954,c_1959]) ).
tff(c_2223,plain,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_2002]) ).
tff(c_780,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnfTransformation,[status(thm)],[f_1007]) ).
tff(c_2074,plain,
! [X_10_774] : ( times_times_int(X_10_774,X_10_774) = power_power_int(X_10_774,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_1236]) ).
tff(c_756,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(cnfTransformation,[status(thm)],[f_985]) ).
tff(c_584,plain,
! [K_1_288] : ( plus_plus_int(K_1_288,K_1_288) = bit0(K_1_288) ),
inference(cnfTransformation,[status(thm)],[f_813]) ).
tff(c_1162,plain,
! [M_11_713] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),M_11_713) = plus_plus_int(M_11_713,M_11_713) ),
inference(cnfTransformation,[status(thm)],[f_1545]) ).
tff(c_2164,plain,
! [M_11_713] : ( times_times_int(bit0(one_one_int),M_11_713) = bit0(M_11_713) ),
inference(demodulation,[status(thm),theory(equality)],[c_584,c_584,c_1162]) ).
tff(c_594,plain,
! [W_11_295] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11_295)) = number_number_of_int(bit0(W_11_295)) ),
inference(cnfTransformation,[status(thm)],[f_829]) ).
tff(c_2169,plain,
! [W_11_295] : ( times_times_int(bit0(one_one_int),number_number_of_int(W_11_295)) = number_number_of_int(bit0(W_11_295)) ),
inference(demodulation,[status(thm),theory(equality)],[c_584,c_594]) ).
tff(c_2179,plain,
! [W_11_295] : ( number_number_of_int(bit0(W_11_295)) = bit0(number_number_of_int(W_11_295)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2164,c_2169]) ).
tff(c_948,plain,
! [B_18_519,A_47_518] : ( times_times_int(B_18_519,A_47_518) = times_times_int(A_47_518,B_18_519) ),
inference(cnfTransformation,[status(thm)],[f_1250]) ).
tff(c_42,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_2426,plain,
times_times_int(t,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(one_one_int))))) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(demodulation,[status(thm),theory(equality)],[c_2074,c_780,c_756,c_2179,c_2179,c_948,c_948,c_954,c_954,c_42]) ).
tff(c_1024,plain,
! [A_38_598] : ( times_times_int(zero_zero_int,A_38_598) = zero_zero_int ),
inference(cnfTransformation,[status(thm)],[f_1344]) ).
tff(c_2229,plain,
! [A_38_598] : ( times_times_int(pls,A_38_598) = pls ),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_556,c_1024]) ).
tff(c_40,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_2428,plain,
ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(demodulation,[status(thm),theory(equality)],[c_2426,c_2229,c_756,c_2179,c_2179,c_756,c_2179,c_2179,c_948,c_948,c_948,c_948,c_954,c_954,c_556,c_40]) ).
tff(c_2429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2223,c_2428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15 % 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
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 15:21:05 EDT 2023
% 0.16/0.37 % CPUTime :
% 13.34/4.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.34/4.49
% 13.34/4.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.34/4.52
% 13.34/4.52 Inference rules
% 13.34/4.52 ----------------------
% 13.34/4.52 #Ref : 0
% 13.34/4.52 #Sup : 0
% 13.34/4.52 #Fact : 0
% 13.34/4.52 #Define : 0
% 13.34/4.52 #Split : 0
% 13.34/4.52 #Chain : 0
% 13.34/4.52 #Close : 0
% 13.34/4.52
% 13.34/4.52 Ordering : KBO
% 13.34/4.52
% 13.34/4.52 Simplification rules
% 13.34/4.52 ----------------------
% 13.34/4.52 #Subsume : 806
% 13.34/4.52 #Demod : 888
% 13.34/4.52 #Tautology : 148
% 13.34/4.52 #SimpNegUnit : 1
% 13.34/4.52 #BackRed : 0
% 13.34/4.52
% 13.34/4.52 #Partial instantiations: 0
% 13.34/4.52 #Strategies tried : 1
% 13.34/4.52
% 13.34/4.52 Timing (in seconds)
% 13.34/4.52 ----------------------
% 13.34/4.52 Preprocessing : 1.61
% 13.34/4.52 Parsing : 0.87
% 13.34/4.52 CNF conversion : 0.13
% 13.34/4.52 Main loop : 1.76
% 13.34/4.52 Inferencing : 0.00
% 13.34/4.52 Reduction : 1.14
% 13.34/4.52 Demodulation : 0.87
% 13.34/4.52 BG Simplification : 0.14
% 13.34/4.52 Subsumption : 0.41
% 13.34/4.52 Abstraction : 0.05
% 13.34/4.52 MUC search : 0.00
% 13.34/4.52 Cooper : 0.00
% 13.34/4.52 Total : 3.42
% 13.34/4.52 Index Insertion : 0.00
% 13.34/4.52 Index Deletion : 0.00
% 13.34/4.52 Index Matching : 0.00
% 13.34/4.52 BG Taut test : 0.00
%------------------------------------------------------------------------------