TSTP Solution File: NUM926+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM926+1 : 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 : n001.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 10:53:10 EDT 2023
% Result : Theorem 20.86s 8.85s
% Output : CNFRefutation 20.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 46
% Syntax : Number of formulae : 133 ( 68 unt; 27 typ; 0 def)
% Number of atoms : 150 ( 57 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 56 ~; 34 |; 0 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 16 >; 10 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 114 (; 108 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ord_less_nat > ord_less_int > ord_less_eq_nat > ord_less_eq_int > zprime > twoSqu526106917sum2sq > times_times_nat > times_times_int > power_power_nat > power_power_int > plus_plus_nat > plus_plus_int > #nlpp > number_number_of_nat > number_number_of_int > bit1 > bit0 > t > s > pls > one_one_nat > one_one_int > m > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(power_power_int,type,
power_power_int: ( $i * $i ) > $i ).
tff(m,type,
m: $i ).
tff(one_one_int,type,
one_one_int: $i ).
tff(times_times_int,type,
times_times_int: ( $i * $i ) > $i ).
tff(power_power_nat,type,
power_power_nat: ( $i * $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(zprime,type,
zprime: $i > $o ).
tff(bit0,type,
bit0: $i > $i ).
tff(s,type,
s: $i ).
tff(twoSqu526106917sum2sq,type,
twoSqu526106917sum2sq: $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('#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('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(plus_plus_int,type,
plus_plus_int: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(bit1,type,
bit1: $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(ord_less_eq_int,type,
ord_less_eq_int: ( $i * $i ) > $o ).
tff(f_348,axiom,
! [K_1] : ( number_number_of_int(K_1) = K_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).
tff(f_129,axiom,
! [V_2,W_1] :
( ord_less_eq_int(number_number_of_int(V_2),number_number_of_int(W_1))
<=> ~ ord_less_int(number_number_of_int(W_1),number_number_of_int(V_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_le__number__of__eq__not__less) ).
tff(f_255,axiom,
! [W_1,Z_1] :
( ord_less_eq_int(plus_plus_int(W_1,one_one_int),Z_1)
<=> ord_less_int(W_1,Z_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_add1__zle__eq) ).
tff(f_73,axiom,
! [V_3] : ( plus_plus_int(number_number_of_int(V_3),one_one_int) = number_number_of_int(plus_plus_int(V_3,bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_add__special_I3_J) ).
tff(f_354,axiom,
! [Z,W] : ( plus_plus_int(Z,W) = plus_plus_int(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_zadd__commute) ).
tff(f_80,axiom,
! [W] : ord_less_eq_int(W,W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_zle__refl) ).
tff(f_109,axiom,
! [Z,W] :
( ord_less_eq_int(Z,W)
=> ( ord_less_eq_int(W,Z)
=> ( Z = W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_zle__antisym) ).
tff(f_201,axiom,
! [K_1,I,J] :
( ord_less_int(I,J)
=> ord_less_int(plus_plus_int(I,K_1),plus_plus_int(J,K_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_zadd__strict__right__mono) ).
tff(f_259,axiom,
! [W_1,Z_1] :
( ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))
<=> ord_less_eq_int(W_1,Z_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_zle__add1__eq__le) ).
tff(f_74,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_one__add__one__is__two) ).
tff(f_154,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_47_nat__1__add__1) ).
tff(f_63,axiom,
! [A_7] : ( power_power_int(A_7,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(A_7,A_7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_power2__eq__square) ).
tff(f_346,axiom,
! [Z,W] : ( times_times_int(Z,W) = times_times_int(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_zmult__commute) ).
tff(f_390,negated_conjecture,
~ ? [X,Y] : ( plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_97,axiom,
! [X_1,Y_1] :
( ord_less_int(X_1,Y_1)
| ( X_1 = Y_1 )
| ord_less_int(Y_1,X_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_zless__linear) ).
tff(f_29,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
tff(f_103,axiom,
! [K_1,I,J] :
( ord_less_eq_int(I,J)
=> ( ord_less_eq_int(J,K_1)
=> ord_less_eq_int(I,K_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_zle__trans) ).
tff(f_37,axiom,
( ord_less_int(one_one_int,t)
=> ? [X,Y] : ( plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
tff(f_33,axiom,
( ( t = one_one_int )
=> ? [X,Y] : ( plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
tff(c_293,plain,
! [K_1_217] : ( number_number_of_int(K_1_217) = K_1_217 ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_86,plain,
! [V_2_47,W_1_48] :
( ord_less_eq_int(number_number_of_int(V_2_47),number_number_of_int(W_1_48))
| ord_less_int(number_number_of_int(W_1_48),number_number_of_int(V_2_47)) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_372,plain,
! [V_2_47,W_1_48] :
( ord_less_eq_int(V_2_47,W_1_48)
| ord_less_int(W_1_48,V_2_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_293,c_293,c_293,c_86]) ).
tff(c_196,plain,
! [W_1_108,Z_1_109] :
( ord_less_eq_int(plus_plus_int(W_1_108,one_one_int),Z_1_109)
| ~ ord_less_int(W_1_108,Z_1_109) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_48,plain,
! [V_3_21] : ( number_number_of_int(plus_plus_int(V_3_21,bit1(pls))) = plus_plus_int(number_number_of_int(V_3_21),one_one_int) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_686,plain,
! [V_3_275] : ( plus_plus_int(V_3_275,bit1(pls)) = plus_plus_int(V_3_275,one_one_int) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_293,c_48]) ).
tff(c_299,plain,
! [Z_224,W_225] : ( plus_plus_int(Z_224,W_225) = plus_plus_int(W_225,Z_224) ),
inference(cnfTransformation,[status(thm)],[f_354]) ).
tff(c_692,plain,
! [V_3_275] : ( plus_plus_int(bit1(pls),V_3_275) = plus_plus_int(V_3_275,one_one_int) ),
inference(superposition,[status(thm),theory(equality)],[c_686,c_299]) ).
tff(c_54,plain,
! [W_22] : ord_less_eq_int(W_22,W_22),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_1190,plain,
! [W_1_319,Z_1_320] :
( ord_less_int(W_1_319,Z_1_320)
| ~ ord_less_eq_int(plus_plus_int(W_1_319,one_one_int),Z_1_320) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_1222,plain,
! [W_1_321] : ord_less_int(W_1_321,plus_plus_int(W_1_321,one_one_int)),
inference(resolution,[status(thm)],[c_54,c_1190]) ).
tff(c_84,plain,
! [W_1_48,V_2_47] :
( ~ ord_less_int(number_number_of_int(W_1_48),number_number_of_int(V_2_47))
| ~ ord_less_eq_int(number_number_of_int(V_2_47),number_number_of_int(W_1_48)) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_373,plain,
! [W_1_48,V_2_47] :
( ~ ord_less_int(W_1_48,V_2_47)
| ~ ord_less_eq_int(V_2_47,W_1_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_293,c_293,c_293,c_84]) ).
tff(c_1314,plain,
! [W_1_326] : ~ ord_less_eq_int(plus_plus_int(W_1_326,one_one_int),W_1_326),
inference(resolution,[status(thm)],[c_1222,c_373]) ).
tff(c_1318,plain,
~ ord_less_eq_int(plus_plus_int(one_one_int,one_one_int),bit1(pls)),
inference(superposition,[status(thm),theory(equality)],[c_692,c_1314]) ).
tff(c_1481,plain,
~ ord_less_int(one_one_int,bit1(pls)),
inference(resolution,[status(thm)],[c_196,c_1318]) ).
tff(c_1491,plain,
ord_less_eq_int(bit1(pls),one_one_int),
inference(resolution,[status(thm)],[c_372,c_1481]) ).
tff(c_1579,plain,
! [Z_340,W_341] :
( ( Z_340 = W_341 )
| ~ ord_less_eq_int(W_341,Z_340)
| ~ ord_less_eq_int(Z_340,W_341) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1623,plain,
( ( bit1(pls) = one_one_int )
| ~ ord_less_eq_int(one_one_int,bit1(pls)) ),
inference(resolution,[status(thm)],[c_1491,c_1579]) ).
tff(c_24510,plain,
~ ord_less_eq_int(one_one_int,bit1(pls)),
inference(splitLeft,[status(thm)],[c_1623]) ).
tff(c_1247,plain,
! [W_1_321] : ~ ord_less_eq_int(plus_plus_int(W_1_321,one_one_int),W_1_321),
inference(resolution,[status(thm)],[c_1222,c_373]) ).
tff(c_30071,plain,
! [I_1097,K_1_1098,J_1099] :
( ord_less_int(plus_plus_int(I_1097,K_1_1098),plus_plus_int(J_1099,K_1_1098))
| ~ ord_less_int(I_1097,J_1099) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_24710,plain,
! [W_1_923,Z_1_924] :
( ord_less_eq_int(W_1_923,Z_1_924)
| ~ ord_less_int(W_1_923,plus_plus_int(Z_1_924,one_one_int)) ),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_24747,plain,
! [W_1_923,W_225] :
( ord_less_eq_int(W_1_923,W_225)
| ~ ord_less_int(W_1_923,plus_plus_int(one_one_int,W_225)) ),
inference(superposition,[status(thm),theory(equality)],[c_299,c_24710]) ).
tff(c_30360,plain,
! [I_1103,K_1_1104] :
( ord_less_eq_int(plus_plus_int(I_1103,K_1_1104),K_1_1104)
| ~ ord_less_int(I_1103,one_one_int) ),
inference(resolution,[status(thm)],[c_30071,c_24747]) ).
tff(c_30422,plain,
! [V_3_275] :
( ord_less_eq_int(plus_plus_int(V_3_275,one_one_int),V_3_275)
| ~ ord_less_int(bit1(pls),one_one_int) ),
inference(superposition,[status(thm),theory(equality)],[c_692,c_30360]) ).
tff(c_30448,plain,
~ ord_less_int(bit1(pls),one_one_int),
inference(negUnitSimplification,[status(thm)],[c_1247,c_30422]) ).
tff(c_30460,plain,
ord_less_eq_int(one_one_int,bit1(pls)),
inference(resolution,[status(thm)],[c_372,c_30448]) ).
tff(c_30473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24510,c_30460]) ).
tff(c_30474,plain,
bit1(pls) = one_one_int,
inference(splitRight,[status(thm)],[c_1623]) ).
tff(c_50,plain,
number_number_of_int(bit0(bit1(pls))) = plus_plus_int(one_one_int,one_one_int),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_712,plain,
bit0(bit1(pls)) = plus_plus_int(one_one_int,one_one_int),
inference(superposition,[status(thm),theory(equality)],[c_50,c_293]) ).
tff(c_30482,plain,
plus_plus_int(one_one_int,one_one_int) = bit0(one_one_int),
inference(demodulation,[status(thm),theory(equality)],[c_30474,c_712]) ).
tff(c_108,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_38,plain,
! [A_7_14] : ( times_times_int(A_7_14,A_7_14) = power_power_int(A_7_14,number_number_of_nat(bit0(bit1(pls)))) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_382,plain,
! [A_7_14] : ( times_times_int(A_7_14,A_7_14) = power_power_int(A_7_14,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_38]) ).
tff(c_24447,plain,
! [A_7_908] : ( times_times_int(A_7_908,A_7_908) = power_power_int(A_7_908,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_38]) ).
tff(c_291,plain,
! [Z_215,W_216] : ( times_times_int(Z_215,W_216) = times_times_int(W_216,Z_215) ),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_333,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_239,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_334,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_239,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)) ),
inference(demodulation,[status(thm),theory(equality)],[c_299,c_333]) ).
tff(c_335,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_239,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(bit0(bit0(bit1(pls))),m)) ),
inference(demodulation,[status(thm),theory(equality)],[c_293,c_334]) ).
tff(c_336,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_239,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_291,c_335]) ).
tff(c_364,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(Y_239,plus_plus_nat(one_one_nat,one_one_nat))) != plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_336]) ).
tff(c_719,plain,
! [X_238,Y_239] : ( plus_plus_int(power_power_int(X_238,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(Y_239,plus_plus_nat(one_one_nat,one_one_nat))) != plus_plus_int(one_one_int,times_times_int(m,bit0(plus_plus_int(one_one_int,one_one_int)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_364]) ).
tff(c_30606,plain,
! [A_7_1105,Y_1106] : ( plus_plus_int(times_times_int(A_7_1105,A_7_1105),power_power_int(Y_1106,plus_plus_nat(one_one_nat,one_one_nat))) != plus_plus_int(one_one_int,times_times_int(m,bit0(plus_plus_int(one_one_int,one_one_int)))) ),
inference(superposition,[status(thm),theory(equality)],[c_24447,c_719]) ).
tff(c_30608,plain,
! [A_7_1105,A_7_14] : ( plus_plus_int(times_times_int(A_7_1105,A_7_1105),times_times_int(A_7_14,A_7_14)) != plus_plus_int(one_one_int,times_times_int(m,bit0(plus_plus_int(one_one_int,one_one_int)))) ),
inference(superposition,[status(thm),theory(equality)],[c_382,c_30606]) ).
tff(c_30788,plain,
! [A_7_1105,A_7_14] : ( plus_plus_int(times_times_int(A_7_1105,A_7_1105),times_times_int(A_7_14,A_7_14)) != plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(one_one_int)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_30482,c_30608]) ).
tff(c_1796,plain,
~ ord_less_eq_int(one_one_int,bit1(pls)),
inference(splitLeft,[status(thm)],[c_1623]) ).
tff(c_154,plain,
! [I_89,K_1_88,J_90] :
( ord_less_int(plus_plus_int(I_89,K_1_88),plus_plus_int(J_90,K_1_88))
| ~ ord_less_int(I_89,J_90) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_1972,plain,
! [W_1_357,Z_1_358] :
( ord_less_eq_int(W_1_357,Z_1_358)
| ~ ord_less_int(W_1_357,plus_plus_int(Z_1_358,one_one_int)) ),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_6779,plain,
! [W_1_504,Z_505] :
( ord_less_eq_int(W_1_504,Z_505)
| ~ ord_less_int(W_1_504,plus_plus_int(one_one_int,Z_505)) ),
inference(superposition,[status(thm),theory(equality)],[c_299,c_1972]) ).
tff(c_8561,plain,
! [I_547,K_1_548] :
( ord_less_eq_int(plus_plus_int(I_547,K_1_548),K_1_548)
| ~ ord_less_int(I_547,one_one_int) ),
inference(resolution,[status(thm)],[c_154,c_6779]) ).
tff(c_8615,plain,
! [V_3_275] :
( ord_less_eq_int(plus_plus_int(V_3_275,one_one_int),V_3_275)
| ~ ord_less_int(bit1(pls),one_one_int) ),
inference(superposition,[status(thm),theory(equality)],[c_692,c_8561]) ).
tff(c_8637,plain,
~ ord_less_int(bit1(pls),one_one_int),
inference(negUnitSimplification,[status(thm)],[c_1247,c_8615]) ).
tff(c_8649,plain,
ord_less_eq_int(one_one_int,bit1(pls)),
inference(resolution,[status(thm)],[c_372,c_8637]) ).
tff(c_8662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1796,c_8649]) ).
tff(c_8663,plain,
bit1(pls) = one_one_int,
inference(splitRight,[status(thm)],[c_1623]) ).
tff(c_8689,plain,
plus_plus_int(one_one_int,one_one_int) = bit0(one_one_int),
inference(demodulation,[status(thm),theory(equality)],[c_8663,c_712]) ).
tff(c_8821,plain,
! [A_7_551] : ( times_times_int(A_7_551,A_7_551) = power_power_int(A_7_551,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_38]) ).
tff(c_8844,plain,
! [X_552,A_7_553] : ( plus_plus_int(power_power_int(X_552,plus_plus_nat(one_one_nat,one_one_nat)),times_times_int(A_7_553,A_7_553)) != plus_plus_int(one_one_int,times_times_int(m,bit0(plus_plus_int(one_one_int,one_one_int)))) ),
inference(superposition,[status(thm),theory(equality)],[c_8821,c_719]) ).
tff(c_8846,plain,
! [A_7_14,A_7_553] : ( plus_plus_int(times_times_int(A_7_14,A_7_14),times_times_int(A_7_553,A_7_553)) != plus_plus_int(one_one_int,times_times_int(m,bit0(plus_plus_int(one_one_int,one_one_int)))) ),
inference(superposition,[status(thm),theory(equality)],[c_382,c_8844]) ).
tff(c_9126,plain,
! [A_7_14,A_7_553] : ( plus_plus_int(times_times_int(A_7_14,A_7_14),times_times_int(A_7_553,A_7_553)) != plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(one_one_int)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_8689,c_8846]) ).
tff(c_64,plain,
! [Y_1_28,X_1_27] :
( ord_less_int(Y_1_28,X_1_27)
| ( Y_1_28 = X_1_27 )
| ord_less_int(X_1_27,Y_1_28) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_843,plain,
! [W_1_289,Z_1_290] :
( ord_less_eq_int(plus_plus_int(W_1_289,one_one_int),Z_1_290)
| ~ ord_less_int(W_1_289,Z_1_290) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_16702,plain,
! [W_778,Z_1_779] :
( ord_less_eq_int(plus_plus_int(one_one_int,W_778),Z_1_779)
| ~ ord_less_int(W_778,Z_1_779) ),
inference(superposition,[status(thm),theory(equality)],[c_299,c_843]) ).
tff(c_2,plain,
ord_less_eq_int(one_one_int,t),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_9553,plain,
! [I_581,K_1_582,J_583] :
( ord_less_eq_int(I_581,K_1_582)
| ~ ord_less_eq_int(J_583,K_1_582)
| ~ ord_less_eq_int(I_581,J_583) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_9635,plain,
! [I_584] :
( ord_less_eq_int(I_584,t)
| ~ ord_less_eq_int(I_584,one_one_int) ),
inference(resolution,[status(thm)],[c_2,c_9553]) ).
tff(c_9659,plain,
~ ord_less_eq_int(plus_plus_int(t,one_one_int),one_one_int),
inference(resolution,[status(thm)],[c_9635,c_1247]) ).
tff(c_9672,plain,
~ ord_less_eq_int(plus_plus_int(one_one_int,t),one_one_int),
inference(demodulation,[status(thm),theory(equality)],[c_299,c_9659]) ).
tff(c_16787,plain,
~ ord_less_int(t,one_one_int),
inference(resolution,[status(thm)],[c_16702,c_9672]) ).
tff(c_16822,plain,
( ord_less_int(one_one_int,t)
| ( t = one_one_int ) ),
inference(resolution,[status(thm)],[c_64,c_16787]) ).
tff(c_16864,plain,
t = one_one_int,
inference(splitLeft,[status(thm)],[c_16822]) ).
tff(c_1641,plain,
( ( t = one_one_int )
| ~ ord_less_eq_int(t,one_one_int) ),
inference(resolution,[status(thm)],[c_2,c_1579]) ).
tff(c_1646,plain,
~ ord_less_eq_int(t,one_one_int),
inference(splitLeft,[status(thm)],[c_1641]) ).
tff(c_16885,plain,
~ ord_less_eq_int(one_one_int,one_one_int),
inference(demodulation,[status(thm),theory(equality)],[c_16864,c_1646]) ).
tff(c_16901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_16885]) ).
tff(c_16902,plain,
ord_less_int(one_one_int,t),
inference(splitRight,[status(thm)],[c_16822]) ).
tff(c_6,plain,
( ( plus_plus_int(power_power_int('#skF_3',number_number_of_nat(bit0(bit1(pls)))),power_power_int('#skF_4',number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ~ ord_less_int(one_one_int,t) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_400,plain,
( ( plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))) = plus_plus_int(times_times_int('#skF_4','#skF_4'),times_times_int('#skF_3','#skF_3')) )
| ~ ord_less_int(one_one_int,t) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_291,c_299,c_299,c_108,c_108,c_293,c_6]) ).
tff(c_24332,plain,
plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(one_one_int)))) = plus_plus_int(times_times_int('#skF_4','#skF_4'),times_times_int('#skF_3','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_16902,c_8663,c_400]) ).
tff(c_24333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9126,c_24332]) ).
tff(c_24334,plain,
t = one_one_int,
inference(splitRight,[status(thm)],[c_1641]) ).
tff(c_4,plain,
( ( plus_plus_int(power_power_int('#skF_1',number_number_of_nat(bit0(bit1(pls)))),power_power_int('#skF_2',number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ( t != one_one_int ) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_401,plain,
( ( plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))) = plus_plus_int(times_times_int('#skF_1','#skF_1'),times_times_int('#skF_2','#skF_2')) )
| ( t != one_one_int ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_291,c_299,c_108,c_108,c_293,c_4]) ).
tff(c_46791,plain,
plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(one_one_int)))) = plus_plus_int(times_times_int('#skF_1','#skF_1'),times_times_int('#skF_2','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_24334,c_30474,c_401]) ).
tff(c_46792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30788,c_46791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM926+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % 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
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:07:25 EDT 2023
% 0.15/0.36 % CPUTime :
% 20.86/8.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.86/8.86
% 20.86/8.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.86/8.90
% 20.86/8.90 Inference rules
% 20.86/8.90 ----------------------
% 20.86/8.90 #Ref : 2
% 20.86/8.90 #Sup : 11351
% 20.86/8.90 #Fact : 4
% 20.86/8.90 #Define : 0
% 20.86/8.90 #Split : 12
% 20.86/8.90 #Chain : 0
% 20.86/8.90 #Close : 0
% 20.86/8.90
% 20.86/8.90 Ordering : KBO
% 20.86/8.90
% 20.86/8.90 Simplification rules
% 20.86/8.90 ----------------------
% 20.86/8.90 #Subsume : 2820
% 20.86/8.90 #Demod : 4401
% 20.86/8.90 #Tautology : 2024
% 20.86/8.90 #SimpNegUnit : 129
% 20.86/8.90 #BackRed : 56
% 20.86/8.90
% 20.86/8.90 #Partial instantiations: 0
% 20.86/8.90 #Strategies tried : 1
% 20.86/8.90
% 20.86/8.90 Timing (in seconds)
% 20.86/8.90 ----------------------
% 20.86/8.90 Preprocessing : 0.81
% 20.86/8.90 Parsing : 0.41
% 20.86/8.90 CNF conversion : 0.06
% 20.86/8.91 Main loop : 7.00
% 20.86/8.91 Inferencing : 1.68
% 20.86/8.91 Reduction : 3.53
% 20.86/8.91 Demodulation : 2.97
% 20.86/8.91 BG Simplification : 0.16
% 20.86/8.91 Subsumption : 1.31
% 20.86/8.91 Abstraction : 0.18
% 20.86/8.91 MUC search : 0.00
% 20.86/8.91 Cooper : 0.00
% 20.86/8.91 Total : 7.88
% 20.86/8.91 Index Insertion : 0.00
% 20.86/8.91 Index Deletion : 0.00
% 20.86/8.91 Index Matching : 0.00
% 20.86/8.91 BG Taut test : 0.00
%------------------------------------------------------------------------------