TSTP Solution File: NUM017-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.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 10:50:51 EDT 2023
% Result : Unsatisfiable 53.64s 38.44s
% Output : CNFRefutation 54.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 143 ( 59 unt; 10 typ; 0 def)
% Number of atoms : 237 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 218 ( 114 ~; 104 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 245 (; 245 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > divides > prime > second_divided_by_1st > multiply > #nlpp > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(second_divided_by_1st,type,
second_divided_by_1st: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(prime,type,
prime: $i > $o ).
tff(d,type,
d: $i ).
tff(divides,type,
divides: ( $i * $i ) > $o ).
tff(e,type,
e: $i ).
tff(c,type,
c: $i ).
tff(f_25,axiom,
! [A,B] : product(A,B,multiply(A,B)),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] :
( ~ product(A,B,C)
| product(B,A,C) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(A,B,D)
| ( D = C ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [A,B] :
( ~ divides(A,B)
| product(A,second_divided_by_1st(A,B),B) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [A,F,B,C,E,D] :
( ~ product(A,B,C)
| ~ product(D,E,B)
| ~ product(A,D,F)
| product(F,E,C) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(A,D,C)
| ( B = D ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
! [A,B,C] :
( ~ product(A,B,C)
| divides(A,C) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [A,F,B,C,E,D] :
( ~ product(A,B,C)
| ~ product(D,B,E)
| ~ product(F,D,A)
| product(F,E,C) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [A,B,C] :
( ~ divides(A,B)
| ~ product(C,C,B)
| ~ prime(A)
| divides(A,C) ),
file(unknown,unknown) ).
tff(f_98,axiom,
prime(a),
file(unknown,unknown) ).
tff(f_99,axiom,
product(b,b,d),
file(unknown,unknown) ).
tff(f_100,axiom,
product(c,c,e),
file(unknown,unknown) ).
tff(f_108,axiom,
! [A] :
( ~ divides(A,c)
| ~ divides(A,b) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2] : product(A_1,B_2,multiply(A_1,B_2)),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_46,plain,
! [B_44,A_45,C_46] :
( product(B_44,A_45,C_46)
| ~ product(A_45,B_44,C_46) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_53,plain,
! [B_2,A_1] : product(B_2,A_1,multiply(A_1,B_2)),
inference(resolution,[status(thm)],[c_2,c_46]) ).
tff(c_90,plain,
! [D_58,C_59,A_60,B_61] :
( ( D_58 = C_59 )
| ~ product(A_60,B_61,D_58)
| ~ product(A_60,B_61,C_59) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_325,plain,
! [A_91,B_92,C_93] :
( ( multiply(A_91,B_92) = C_93 )
| ~ product(A_91,B_92,C_93) ),
inference(resolution,[status(thm)],[c_2,c_90]) ).
tff(c_342,plain,
! [B_2,A_1] : ( multiply(B_2,A_1) = multiply(A_1,B_2) ),
inference(resolution,[status(thm)],[c_53,c_325]) ).
tff(c_16,plain,
! [A_29,B_30] :
( product(A_29,second_divided_by_1st(A_29,B_30),B_30)
| ~ divides(A_29,B_30) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_266,plain,
! [D_74,B_77,C_78,F_76,E_75,A_79] :
( product(F_76,E_75,C_78)
| ~ product(A_79,D_74,F_76)
| ~ product(D_74,E_75,B_77)
| ~ product(A_79,B_77,C_78) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2370,plain,
! [C_225,B_221,E_222,A_224,B_223] :
( product(B_223,E_222,C_225)
| ~ product(second_divided_by_1st(A_224,B_223),E_222,B_221)
| ~ product(A_224,B_221,C_225)
| ~ divides(A_224,B_223) ),
inference(resolution,[status(thm)],[c_16,c_266]) ).
tff(c_128547,plain,
! [B_1774,A_1775,C_1776,A_1777] :
( product(B_1774,A_1775,C_1776)
| ~ product(A_1777,multiply(A_1775,second_divided_by_1st(A_1777,B_1774)),C_1776)
| ~ divides(A_1777,B_1774) ),
inference(resolution,[status(thm)],[c_53,c_2370]) ).
tff(c_128673,plain,
! [B_1774,A_1775,B_2] :
( product(B_1774,A_1775,multiply(multiply(A_1775,second_divided_by_1st(B_2,B_1774)),B_2))
| ~ divides(B_2,B_1774) ),
inference(resolution,[status(thm)],[c_53,c_128547]) ).
tff(c_262602,plain,
! [B_3389,A_3390,B_3391] :
( product(B_3389,A_3390,multiply(B_3391,multiply(A_3390,second_divided_by_1st(B_3391,B_3389))))
| ~ divides(B_3391,B_3389) ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_128673]) ).
tff(c_143,plain,
! [D_63,B_64,A_65,C_66] :
( ( D_63 = B_64 )
| ~ product(A_65,D_63,C_66)
| ~ product(A_65,B_64,C_66) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_156,plain,
! [B_64,B_2,A_1] :
( ( B_64 = B_2 )
| ~ product(A_1,B_64,multiply(A_1,B_2)) ),
inference(resolution,[status(thm)],[c_2,c_143]) ).
tff(c_263439,plain,
! [A_3392,B_3393] :
( ( multiply(A_3392,second_divided_by_1st(B_3393,B_3393)) = A_3392 )
| ~ divides(B_3393,B_3393) ),
inference(resolution,[status(thm)],[c_262602,c_156]) ).
tff(c_33,plain,
! [A_41,C_42,B_43] :
( divides(A_41,C_42)
| ~ product(A_41,B_43,C_42) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_43,plain,
! [A_1,B_2] : divides(A_1,multiply(A_1,B_2)),
inference(resolution,[status(thm)],[c_2,c_33]) ).
tff(c_264506,plain,
! [A_3392,B_3393] :
( divides(A_3392,A_3392)
| ~ divides(B_3393,B_3393) ),
inference(superposition,[status(thm),theory(equality)],[c_263439,c_43]) ).
tff(c_264688,plain,
! [B_3393] : ~ divides(B_3393,B_3393),
inference(splitLeft,[status(thm)],[c_264506]) ).
tff(c_309,plain,
! [E_88,F_85,A_89,C_90,D_87,B_86] :
( product(F_85,E_88,C_90)
| ~ product(F_85,D_87,A_89)
| ~ product(D_87,B_86,E_88)
| ~ product(A_89,B_86,C_90) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_2576,plain,
! [B_237,E_241,A_239,B_238,C_240] :
( product(A_239,E_241,C_240)
| ~ product(second_divided_by_1st(A_239,B_238),B_237,E_241)
| ~ product(B_238,B_237,C_240)
| ~ divides(A_239,B_238) ),
inference(resolution,[status(thm)],[c_16,c_309]) ).
tff(c_15454,plain,
! [A_476,A_477,B_478,C_479] :
( product(A_476,multiply(A_477,second_divided_by_1st(A_476,B_478)),C_479)
| ~ product(B_478,A_477,C_479)
| ~ divides(A_476,B_478) ),
inference(resolution,[status(thm)],[c_53,c_2576]) ).
tff(c_155,plain,
! [B_64,A_1,B_2] :
( ( B_64 = A_1 )
| ~ product(B_2,B_64,multiply(A_1,B_2)) ),
inference(resolution,[status(thm)],[c_53,c_143]) ).
tff(c_120756,plain,
! [A_1712,A_1713,B_1714,A_1715] :
( ( multiply(A_1712,second_divided_by_1st(A_1713,B_1714)) = A_1715 )
| ~ product(B_1714,A_1712,multiply(A_1715,A_1713))
| ~ divides(A_1713,B_1714) ),
inference(resolution,[status(thm)],[c_15454,c_155]) ).
tff(c_123195,plain,
! [A_1726,B_1727] :
( ( multiply(A_1726,second_divided_by_1st(B_1727,B_1727)) = A_1726 )
| ~ divides(B_1727,B_1727) ),
inference(resolution,[status(thm)],[c_53,c_120756]) ).
tff(c_124558,plain,
! [A_1726,B_1727] :
( divides(A_1726,A_1726)
| ~ divides(B_1727,B_1727) ),
inference(superposition,[status(thm),theory(equality)],[c_123195,c_43]) ).
tff(c_124725,plain,
! [B_1727] : ~ divides(B_1727,B_1727),
inference(splitLeft,[status(thm)],[c_124558]) ).
tff(c_218,plain,
! [A_69,C_70,B_71] :
( divides(A_69,C_70)
| ~ prime(A_69)
| ~ product(C_70,C_70,B_71)
| ~ divides(A_69,B_71) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_993,plain,
! [A_138,B_139] :
( divides(A_138,B_139)
| ~ prime(A_138)
| ~ divides(A_138,multiply(B_139,B_139)) ),
inference(resolution,[status(thm)],[c_2,c_218]) ).
tff(c_1086,plain,
! [B_2] :
( divides(B_2,B_2)
| ~ prime(B_2) ),
inference(resolution,[status(thm)],[c_43,c_993]) ).
tff(c_124727,plain,
! [B_2] : ~ prime(B_2),
inference(negUnitSimplification,[status(thm)],[c_124725,c_1086]) ).
tff(c_22,plain,
prime(a),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_124862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124727,c_22]) ).
tff(c_124863,plain,
! [A_1726] : divides(A_1726,A_1726),
inference(splitRight,[status(thm)],[c_124558]) ).
tff(c_24,plain,
product(b,b,d),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2060,plain,
! [E_192,C_193,B_194] :
( product(b,E_192,C_193)
| ~ product(b,B_194,E_192)
| ~ product(d,B_194,C_193) ),
inference(resolution,[status(thm)],[c_24,c_309]) ).
tff(c_5345,plain,
! [B_298,C_299] :
( product(b,multiply(b,B_298),C_299)
| ~ product(d,B_298,C_299) ),
inference(resolution,[status(thm)],[c_2,c_2060]) ).
tff(c_158,plain,
! [B_64] :
( ( b = B_64 )
| ~ product(b,B_64,d) ),
inference(resolution,[status(thm)],[c_24,c_143]) ).
tff(c_5741,plain,
! [B_308] :
( ( multiply(b,B_308) = b )
| ~ product(d,B_308,d) ),
inference(resolution,[status(thm)],[c_5345,c_158]) ).
tff(c_5746,plain,
( ( multiply(b,second_divided_by_1st(d,d)) = b )
| ~ divides(d,d) ),
inference(resolution,[status(thm)],[c_16,c_5741]) ).
tff(c_11631,plain,
~ divides(d,d),
inference(splitLeft,[status(thm)],[c_5746]) ).
tff(c_159,plain,
! [C_67] :
( ( d = C_67 )
| ~ product(b,b,C_67) ),
inference(resolution,[status(thm)],[c_24,c_90]) ).
tff(c_171,plain,
multiply(b,b) = d,
inference(resolution,[status(thm)],[c_53,c_159]) ).
tff(c_1161,plain,
! [C_144,B_145,A_146] :
( ( C_144 = B_145 )
| ~ product(A_146,second_divided_by_1st(A_146,B_145),C_144)
| ~ divides(A_146,B_145) ),
inference(resolution,[status(thm)],[c_16,c_90]) ).
tff(c_1197,plain,
! [A_1,B_145] :
( ( multiply(A_1,second_divided_by_1st(A_1,B_145)) = B_145 )
| ~ divides(A_1,B_145) ),
inference(resolution,[status(thm)],[c_2,c_1161]) ).
tff(c_2146,plain,
! [B_200,A_202,B_199,C_201,E_203] :
( product(A_202,E_203,C_201)
| ~ product(B_200,B_199,E_203)
| ~ product(multiply(A_202,B_200),B_199,C_201) ),
inference(resolution,[status(thm)],[c_2,c_309]) ).
tff(c_3699,plain,
! [A_277,C_278] :
( product(A_277,d,C_278)
| ~ product(multiply(A_277,b),b,C_278) ),
inference(resolution,[status(thm)],[c_24,c_2146]) ).
tff(c_3726,plain,
! [A_279] : product(A_279,d,multiply(b,multiply(A_279,b))),
inference(resolution,[status(thm)],[c_53,c_3699]) ).
tff(c_8,plain,
! [B_16,A_15,C_17] :
( product(B_16,A_15,C_17)
| ~ product(A_15,B_16,C_17) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_3979,plain,
! [A_281] : product(d,A_281,multiply(b,multiply(A_281,b))),
inference(resolution,[status(thm)],[c_3726,c_8]) ).
tff(c_18,plain,
! [A_31,C_33,B_32] :
( divides(A_31,C_33)
| ~ product(A_31,B_32,C_33) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_4116,plain,
! [A_283] : divides(d,multiply(b,multiply(A_283,b))),
inference(resolution,[status(thm)],[c_3979,c_18]) ).
tff(c_4294,plain,
! [B_288] : divides(d,multiply(b,multiply(b,B_288))),
inference(superposition,[status(thm),theory(equality)],[c_342,c_4116]) ).
tff(c_14293,plain,
! [B_448] :
( divides(d,multiply(b,B_448))
| ~ divides(b,B_448) ),
inference(superposition,[status(thm),theory(equality)],[c_1197,c_4294]) ).
tff(c_14331,plain,
( divides(d,d)
| ~ divides(b,b) ),
inference(superposition,[status(thm),theory(equality)],[c_171,c_14293]) ).
tff(c_14346,plain,
~ divides(b,b),
inference(negUnitSimplification,[status(thm)],[c_11631,c_14331]) ).
tff(c_124876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124863,c_14346]) ).
tff(c_124878,plain,
divides(d,d),
inference(splitRight,[status(thm)],[c_5746]) ).
tff(c_124877,plain,
multiply(b,second_divided_by_1st(d,d)) = b,
inference(splitRight,[status(thm)],[c_5746]) ).
tff(c_454,plain,
! [B_97,B_96,A_98] :
( ( B_97 = B_96 )
| ~ product(A_98,B_96,multiply(A_98,B_97)) ),
inference(resolution,[status(thm)],[c_2,c_143]) ).
tff(c_470,plain,
! [A_29,B_97] :
( ( second_divided_by_1st(A_29,multiply(A_29,B_97)) = B_97 )
| ~ divides(A_29,multiply(A_29,B_97)) ),
inference(resolution,[status(thm)],[c_16,c_454]) ).
tff(c_480,plain,
! [A_29,B_97] : ( second_divided_by_1st(A_29,multiply(A_29,B_97)) = B_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_43,c_470]) ).
tff(c_125096,plain,
second_divided_by_1st(d,d) = second_divided_by_1st(b,b),
inference(superposition,[status(thm),theory(equality)],[c_124877,c_480]) ).
tff(c_69,plain,
! [A_53,B_54] :
( product(A_53,second_divided_by_1st(A_53,B_54),B_54)
| ~ divides(A_53,B_54) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_75,plain,
! [A_53,B_54] :
( product(second_divided_by_1st(A_53,B_54),A_53,B_54)
| ~ divides(A_53,B_54) ),
inference(resolution,[status(thm)],[c_69,c_8]) ).
tff(c_125829,plain,
! [A_1736,B_1737,C_1738,A_1739] :
( product(A_1736,B_1737,C_1738)
| ~ product(multiply(A_1736,second_divided_by_1st(A_1739,B_1737)),A_1739,C_1738)
| ~ divides(A_1739,B_1737) ),
inference(resolution,[status(thm)],[c_75,c_2146]) ).
tff(c_193226,plain,
! [A_2627,B_2628,A_2629] :
( product(A_2627,B_2628,multiply(A_2629,multiply(A_2627,second_divided_by_1st(A_2629,B_2628))))
| ~ divides(A_2629,B_2628) ),
inference(resolution,[status(thm)],[c_53,c_125829]) ).
tff(c_2242,plain,
! [B_211,B_209,C_213,E_210,A_212] :
( product(multiply(A_212,B_211),E_210,C_213)
| ~ product(B_211,E_210,B_209)
| ~ product(A_212,B_209,C_213) ),
inference(resolution,[status(thm)],[c_2,c_266]) ).
tff(c_2791,plain,
! [A_250,C_251] :
( product(multiply(A_250,b),b,C_251)
| ~ product(A_250,d,C_251) ),
inference(resolution,[status(thm)],[c_24,c_2242]) ).
tff(c_2849,plain,
! [A_250,C_251] :
( product(b,multiply(A_250,b),C_251)
| ~ product(A_250,d,C_251) ),
inference(resolution,[status(thm)],[c_2791,c_8]) ).
tff(c_8596,plain,
! [A_351,B_352,A_353,C_354] :
( product(multiply(A_351,B_352),A_353,C_354)
| ~ product(A_351,multiply(A_353,B_352),C_354) ),
inference(resolution,[status(thm)],[c_53,c_2242]) ).
tff(c_165846,plain,
! [B_2352,A_2353,A_2354,B_2355] :
( ( B_2352 = A_2353 )
| ~ product(A_2354,multiply(A_2353,B_2355),multiply(multiply(A_2354,B_2355),B_2352)) ),
inference(resolution,[status(thm)],[c_8596,c_156]) ).
tff(c_165894,plain,
! [B_2352,A_250] :
( ( B_2352 = A_250 )
| ~ product(A_250,d,multiply(multiply(b,b),B_2352)) ),
inference(resolution,[status(thm)],[c_2849,c_165846]) ).
tff(c_166151,plain,
! [B_2352,A_250] :
( ( B_2352 = A_250 )
| ~ product(A_250,d,multiply(d,B_2352)) ),
inference(demodulation,[status(thm),theory(equality)],[c_171,c_165894]) ).
tff(c_193349,plain,
! [A_2627] :
( ( multiply(A_2627,second_divided_by_1st(d,d)) = A_2627 )
| ~ divides(d,d) ),
inference(resolution,[status(thm)],[c_193226,c_166151]) ).
tff(c_194069,plain,
! [A_2630] : ( multiply(A_2630,second_divided_by_1st(b,b)) = A_2630 ),
inference(demodulation,[status(thm),theory(equality)],[c_124878,c_125096,c_193349]) ).
tff(c_195126,plain,
! [A_2630] : divides(A_2630,A_2630),
inference(superposition,[status(thm),theory(equality)],[c_194069,c_43]) ).
tff(c_26,plain,
product(c,c,e),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1431,plain,
! [E_161,C_162,B_163] :
( product(c,E_161,C_162)
| ~ product(c,B_163,E_161)
| ~ product(e,B_163,C_162) ),
inference(resolution,[status(thm)],[c_26,c_309]) ).
tff(c_7683,plain,
! [B_335,C_336] :
( product(c,multiply(c,B_335),C_336)
| ~ product(e,B_335,C_336) ),
inference(resolution,[status(thm)],[c_2,c_1431]) ).
tff(c_157,plain,
! [B_64] :
( ( c = B_64 )
| ~ product(c,B_64,e) ),
inference(resolution,[status(thm)],[c_26,c_143]) ).
tff(c_7780,plain,
! [B_337] :
( ( multiply(c,B_337) = c )
| ~ product(e,B_337,e) ),
inference(resolution,[status(thm)],[c_7683,c_157]) ).
tff(c_7785,plain,
( ( multiply(c,second_divided_by_1st(e,e)) = c )
| ~ divides(e,e) ),
inference(resolution,[status(thm)],[c_16,c_7780]) ).
tff(c_130638,plain,
~ divides(e,e),
inference(splitLeft,[status(thm)],[c_7785]) ).
tff(c_106,plain,
! [C_62] :
( ( e = C_62 )
| ~ product(c,c,C_62) ),
inference(resolution,[status(thm)],[c_26,c_90]) ).
tff(c_118,plain,
multiply(c,c) = e,
inference(resolution,[status(thm)],[c_53,c_106]) ).
tff(c_3235,plain,
! [A_268,C_269] :
( product(A_268,e,C_269)
| ~ product(multiply(A_268,c),c,C_269) ),
inference(resolution,[status(thm)],[c_26,c_2146]) ).
tff(c_3269,plain,
! [A_271] : product(A_271,e,multiply(c,multiply(A_271,c))),
inference(resolution,[status(thm)],[c_53,c_3235]) ).
tff(c_3385,plain,
! [A_272] : product(e,A_272,multiply(c,multiply(A_272,c))),
inference(resolution,[status(thm)],[c_3269,c_8]) ).
tff(c_3464,plain,
! [A_273] : divides(e,multiply(c,multiply(A_273,c))),
inference(resolution,[status(thm)],[c_3385,c_18]) ).
tff(c_3487,plain,
! [A_274] : divides(e,multiply(c,multiply(c,A_274))),
inference(superposition,[status(thm),theory(equality)],[c_342,c_3464]) ).
tff(c_132103,plain,
! [B_1825] :
( divides(e,multiply(c,B_1825))
| ~ divides(c,B_1825) ),
inference(superposition,[status(thm),theory(equality)],[c_1197,c_3487]) ).
tff(c_132141,plain,
( divides(e,e)
| ~ divides(c,c) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_132103]) ).
tff(c_132156,plain,
~ divides(c,c),
inference(negUnitSimplification,[status(thm)],[c_130638,c_132141]) ).
tff(c_195309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195126,c_132156]) ).
tff(c_195310,plain,
multiply(c,second_divided_by_1st(e,e)) = c,
inference(splitRight,[status(thm)],[c_7785]) ).
tff(c_195815,plain,
second_divided_by_1st(e,e) = second_divided_by_1st(c,c),
inference(superposition,[status(thm),theory(equality)],[c_195310,c_480]) ).
tff(c_195830,plain,
product(c,second_divided_by_1st(e,e),c),
inference(superposition,[status(thm),theory(equality)],[c_195310,c_2]) ).
tff(c_196569,plain,
product(c,second_divided_by_1st(c,c),c),
inference(demodulation,[status(thm),theory(equality)],[c_195815,c_195830]) ).
tff(c_102,plain,
! [A_1,B_2,C_59] :
( ( multiply(A_1,B_2) = C_59 )
| ~ product(B_2,A_1,C_59) ),
inference(resolution,[status(thm)],[c_53,c_90]) ).
tff(c_197812,plain,
multiply(second_divided_by_1st(c,c),c) = c,
inference(resolution,[status(thm)],[c_196569,c_102]) ).
tff(c_10398,plain,
! [A_382,A_383,B_384,C_385] :
( product(A_382,multiply(A_383,B_384),C_385)
| ~ product(multiply(A_382,B_384),A_383,C_385) ),
inference(resolution,[status(thm)],[c_53,c_2146]) ).
tff(c_196687,plain,
! [A_2635,B_2636,B_2637] : product(A_2635,multiply(B_2636,B_2637),multiply(multiply(A_2635,B_2637),B_2636)),
inference(resolution,[status(thm)],[c_2,c_10398]) ).
tff(c_206414,plain,
! [B_2804,B_2805,A_2806] : product(multiply(B_2804,B_2805),A_2806,multiply(multiply(A_2806,B_2805),B_2804)),
inference(resolution,[status(thm)],[c_196687,c_8]) ).
tff(c_206880,plain,
! [B_2808,B_2809,A_2810] : divides(multiply(B_2808,B_2809),multiply(multiply(A_2810,B_2809),B_2808)),
inference(resolution,[status(thm)],[c_206414,c_18]) ).
tff(c_207167,plain,
! [B_2811] : divides(multiply(B_2811,c),multiply(c,B_2811)),
inference(superposition,[status(thm),theory(equality)],[c_197812,c_206880]) ).
tff(c_207237,plain,
! [A_1] : divides(multiply(A_1,c),multiply(A_1,c)),
inference(superposition,[status(thm),theory(equality)],[c_342,c_207167]) ).
tff(c_264703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264688,c_207237]) ).
tff(c_264704,plain,
! [A_3392] : divides(A_3392,A_3392),
inference(splitRight,[status(thm)],[c_264506]) ).
tff(c_264509,plain,
! [A_3392,B_3393] :
( product(A_3392,second_divided_by_1st(B_3393,B_3393),A_3392)
| ~ divides(B_3393,B_3393) ),
inference(superposition,[status(thm),theory(equality)],[c_263439,c_2]) ).
tff(c_265235,plain,
! [A_3397,B_3398] : product(A_3397,second_divided_by_1st(B_3398,B_3398),A_3397),
inference(demodulation,[status(thm),theory(equality)],[c_264704,c_264509]) ).
tff(c_265682,plain,
! [B_3407,A_3408] : product(second_divided_by_1st(B_3407,B_3407),A_3408,A_3408),
inference(resolution,[status(thm)],[c_265235,c_8]) ).
tff(c_266026,plain,
! [B_3407,A_3408] : divides(second_divided_by_1st(B_3407,B_3407),A_3408),
inference(resolution,[status(thm)],[c_265682,c_18]) ).
tff(c_59,plain,
! [B_49,A_50] : product(B_49,A_50,multiply(A_50,B_49)),
inference(resolution,[status(thm)],[c_2,c_46]) ).
tff(c_67,plain,
! [B_49,A_50] : divides(B_49,multiply(A_50,B_49)),
inference(resolution,[status(thm)],[c_59,c_18]) ).
tff(c_195821,plain,
divides(second_divided_by_1st(e,e),c),
inference(superposition,[status(thm),theory(equality)],[c_195310,c_67]) ).
tff(c_196573,plain,
divides(second_divided_by_1st(c,c),c),
inference(demodulation,[status(thm),theory(equality)],[c_195815,c_195821]) ).
tff(c_30,plain,
! [A_37] :
( ~ divides(A_37,b)
| ~ divides(A_37,c) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_196686,plain,
~ divides(second_divided_by_1st(c,c),b),
inference(resolution,[status(thm)],[c_196573,c_30]) ).
tff(c_266057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_266026,c_196686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n023.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 14:47:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 53.64/38.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.64/38.46
% 53.64/38.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 54.25/38.51
% 54.25/38.51 Inference rules
% 54.25/38.51 ----------------------
% 54.25/38.51 #Ref : 0
% 54.25/38.51 #Sup : 62133
% 54.25/38.51 #Fact : 0
% 54.25/38.51 #Define : 0
% 54.25/38.51 #Split : 68
% 54.25/38.51 #Chain : 0
% 54.25/38.51 #Close : 0
% 54.25/38.51
% 54.25/38.51 Ordering : KBO
% 54.25/38.51
% 54.25/38.51 Simplification rules
% 54.25/38.51 ----------------------
% 54.25/38.51 #Subsume : 14469
% 54.25/38.51 #Demod : 30879
% 54.25/38.51 #Tautology : 16212
% 54.25/38.51 #SimpNegUnit : 237
% 54.25/38.51 #BackRed : 275
% 54.25/38.51
% 54.25/38.51 #Partial instantiations: 0
% 54.25/38.51 #Strategies tried : 1
% 54.25/38.51
% 54.25/38.51 Timing (in seconds)
% 54.25/38.51 ----------------------
% 54.25/38.51 Preprocessing : 0.43
% 54.25/38.51 Parsing : 0.24
% 54.25/38.51 CNF conversion : 0.02
% 54.25/38.51 Main loop : 37.01
% 54.25/38.51 Inferencing : 4.02
% 54.25/38.51 Reduction : 18.00
% 54.25/38.51 Demodulation : 14.74
% 54.25/38.51 BG Simplification : 0.25
% 54.25/38.51 Subsumption : 11.96
% 54.25/38.51 Abstraction : 0.33
% 54.25/38.51 MUC search : 0.00
% 54.25/38.51 Cooper : 0.00
% 54.25/38.51 Total : 37.51
% 54.25/38.51 Index Insertion : 0.00
% 54.25/38.51 Index Deletion : 0.00
% 54.25/38.51 Index Matching : 0.00
% 54.25/38.51 BG Taut test : 0.00
%------------------------------------------------------------------------------