TSTP Solution File: FLD013-5 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n014.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 10:37:28 EDT 2023
% Result : Unsatisfiable 9.11s 3.13s
% Output : CNFRefutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 102 ( 40 unt; 16 typ; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 181 ( 94 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 8 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 97 (; 97 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > v > u > multiplicative_identity > d > c > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(u,type,
u: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(v,type,
v: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_204,axiom,
! [X,Y] :
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file(unknown,unknown) ).
tff(f_260,axiom,
~ sum(additive_identity,u,v),
file(unknown,unknown) ).
tff(f_159,axiom,
defined(additive_identity),
file(unknown,unknown) ).
tff(f_222,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_255,axiom,
sum(additive_identity,a,b),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U,Z,X,Y,V] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file(unknown,unknown) ).
tff(f_251,axiom,
defined(c),
file(unknown,unknown) ).
tff(f_256,axiom,
sum(additive_identity,c,d),
file(unknown,unknown) ).
tff(f_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_257,axiom,
sum(a,c,u),
file(unknown,unknown) ).
tff(f_68,axiom,
! [W,U,Z,X,Y,V] :
( sum(U,Z,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W) ),
file(unknown,unknown) ).
tff(f_258,axiom,
sum(d,b,v),
file(unknown,unknown) ).
tff(f_57,axiom,
! [W,U,Z,X,Y,V] :
( sum(X,V,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(c_163,plain,
! [Y_100,X_101] :
( ~ less_or_equal(Y_100,X_101)
| ~ less_or_equal(X_101,Y_100)
| sum(additive_identity,X_101,Y_100) ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_74,plain,
~ sum(additive_identity,u,v),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_174,plain,
( ~ less_or_equal(v,u)
| ~ less_or_equal(u,v) ),
inference(resolution,[status(thm)],[c_163,c_74]) ).
tff(c_178,plain,
~ less_or_equal(u,v),
inference(splitLeft,[status(thm)],[c_174]) ).
tff(c_28,plain,
defined(additive_identity),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_46,plain,
! [Y_65,X_64] :
( ~ defined(Y_65)
| ~ defined(X_64)
| less_or_equal(Y_65,X_64)
| less_or_equal(X_64,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_150,plain,
! [Y_65] :
( ~ defined(Y_65)
| less_or_equal(Y_65,Y_65) ),
inference(factorization,[status(thm),theory(equality)],[c_46]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_66,plain,
sum(additive_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_248,plain,
! [X_119,V_122,U_118,Y_121,Z_120] :
( ~ sum(Y_121,Z_120,V_122)
| ~ sum(X_119,Z_120,U_118)
| ~ less_or_equal(X_119,Y_121)
| less_or_equal(U_118,V_122) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_857,plain,
! [X_173,U_174] :
( ~ sum(X_173,a,U_174)
| ~ less_or_equal(X_173,additive_identity)
| less_or_equal(U_174,b) ),
inference(resolution,[status(thm)],[c_66,c_248]) ).
tff(c_880,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,b)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_6,c_857]) ).
tff(c_897,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_880]) ).
tff(c_1135,plain,
~ less_or_equal(additive_identity,additive_identity),
inference(splitLeft,[status(thm)],[c_897]) ).
tff(c_1144,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_150,c_1135]) ).
tff(c_1154,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_1144]) ).
tff(c_1156,plain,
less_or_equal(additive_identity,additive_identity),
inference(splitRight,[status(thm)],[c_897]) ).
tff(c_58,plain,
defined(c),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_68,plain,
sum(additive_identity,c,d),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_1169,plain,
! [X_178,U_179] :
( ~ sum(X_178,c,U_179)
| ~ less_or_equal(X_178,additive_identity)
| less_or_equal(U_179,d) ),
inference(resolution,[status(thm)],[c_68,c_248]) ).
tff(c_1189,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(c,d)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_6,c_1169]) ).
tff(c_1209,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(c,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_1189]) ).
tff(c_1287,plain,
less_or_equal(c,d),
inference(demodulation,[status(thm),theory(equality)],[c_1156,c_1209]) ).
tff(c_88,plain,
! [X_84,Y_85,Z_86] :
( ~ sum(X_84,Y_85,Z_86)
| sum(Y_85,X_84,Z_86) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_104,plain,
sum(a,additive_identity,b),
inference(resolution,[status(thm)],[c_66,c_88]) ).
tff(c_70,plain,
sum(a,c,u),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_479,plain,
! [V_141,X_142,U_140,W_139,Y_143,Z_138] :
( ~ sum(X_142,V_141,W_139)
| ~ sum(Y_143,Z_138,V_141)
| ~ sum(X_142,Y_143,U_140)
| sum(U_140,Z_138,W_139) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_2746,plain,
! [Y_231,Z_232,U_233] :
( ~ sum(Y_231,Z_232,c)
| ~ sum(a,Y_231,U_233)
| sum(U_233,Z_232,u) ),
inference(resolution,[status(thm)],[c_70,c_479]) ).
tff(c_2758,plain,
! [U_233] :
( ~ sum(a,additive_identity,U_233)
| sum(U_233,c,u)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_6,c_2746]) ).
tff(c_2830,plain,
! [U_235] :
( ~ sum(a,additive_identity,U_235)
| sum(U_235,c,u) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2758]) ).
tff(c_2855,plain,
sum(b,c,u),
inference(resolution,[status(thm)],[c_104,c_2830]) ).
tff(c_10,plain,
! [X_16,Y_15,Z_17] :
( ~ sum(X_16,Y_15,Z_17)
| sum(Y_15,X_16,Z_17) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_2885,plain,
sum(c,b,u),
inference(resolution,[status(thm)],[c_2855,c_10]) ).
tff(c_72,plain,
sum(d,b,v),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_295,plain,
! [X_119,U_118] :
( ~ sum(X_119,b,U_118)
| ~ less_or_equal(X_119,d)
| less_or_equal(U_118,v) ),
inference(resolution,[status(thm)],[c_72,c_248]) ).
tff(c_2890,plain,
( ~ less_or_equal(c,d)
| less_or_equal(u,v) ),
inference(resolution,[status(thm)],[c_2885,c_295]) ).
tff(c_2904,plain,
less_or_equal(u,v),
inference(demodulation,[status(thm),theory(equality)],[c_1287,c_2890]) ).
tff(c_2906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178,c_2904]) ).
tff(c_2907,plain,
~ less_or_equal(v,u),
inference(splitRight,[status(thm)],[c_174]) ).
tff(c_3066,plain,
! [U_258,X_259,Y_261,Z_260,V_262] :
( ~ sum(Y_261,Z_260,V_262)
| ~ sum(X_259,Z_260,U_258)
| ~ less_or_equal(X_259,Y_261)
| less_or_equal(U_258,V_262) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_3835,plain,
! [X_314,U_315] :
( ~ sum(X_314,a,U_315)
| ~ less_or_equal(X_314,additive_identity)
| less_or_equal(U_315,b) ),
inference(resolution,[status(thm)],[c_66,c_3066]) ).
tff(c_3858,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,b)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_6,c_3835]) ).
tff(c_3875,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_3858]) ).
tff(c_4100,plain,
~ less_or_equal(additive_identity,additive_identity),
inference(splitLeft,[status(thm)],[c_3875]) ).
tff(c_4109,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_150,c_4100]) ).
tff(c_4119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_4109]) ).
tff(c_4121,plain,
less_or_equal(additive_identity,additive_identity),
inference(splitRight,[status(thm)],[c_3875]) ).
tff(c_4469,plain,
! [X_329,X_330,U_331] :
( ~ sum(X_329,X_330,U_331)
| ~ less_or_equal(X_329,additive_identity)
| less_or_equal(U_331,X_330)
| ~ defined(X_330) ),
inference(resolution,[status(thm)],[c_6,c_3066]) ).
tff(c_4511,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(b,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_66,c_4469]) ).
tff(c_4551,plain,
less_or_equal(b,a),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4121,c_4511]) ).
tff(c_42,plain,
! [Y_60,X_59] :
( ~ less_or_equal(Y_60,X_59)
| ~ less_or_equal(X_59,Y_60)
| sum(additive_identity,X_59,Y_60) ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_3229,plain,
! [X_275,Y_272,W_276,U_274,Z_271,V_273] :
( ~ sum(U_274,Z_271,W_276)
| ~ sum(Y_272,Z_271,V_273)
| ~ sum(X_275,Y_272,U_274)
| sum(X_275,V_273,W_276) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7638,plain,
! [Y_405,X_406,V_407,X_408] :
( ~ sum(Y_405,X_406,V_407)
| ~ sum(X_408,Y_405,additive_identity)
| sum(X_408,V_407,X_406)
| ~ defined(X_406) ),
inference(resolution,[status(thm)],[c_6,c_3229]) ).
tff(c_7734,plain,
! [X_408] :
( ~ sum(X_408,additive_identity,additive_identity)
| sum(X_408,d,c)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_68,c_7638]) ).
tff(c_7863,plain,
! [X_410] :
( ~ sum(X_410,additive_identity,additive_identity)
| sum(X_410,d,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_7734]) ).
tff(c_7938,plain,
! [X_412] :
( sum(d,X_412,c)
| ~ sum(X_412,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_7863,c_10]) ).
tff(c_7944,plain,
( sum(d,additive_identity,c)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_42,c_7938]) ).
tff(c_7957,plain,
sum(d,additive_identity,c),
inference(demodulation,[status(thm),theory(equality)],[c_4121,c_7944]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_3346,plain,
! [W_285,U_286,X_288,Z_284,V_287,Y_289] :
( ~ sum(X_288,V_287,W_285)
| ~ sum(Y_289,Z_284,V_287)
| ~ sum(X_288,Y_289,U_286)
| sum(U_286,Z_284,W_285) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_5154,plain,
! [Y_344,Z_345,U_346] :
( ~ sum(Y_344,Z_345,b)
| ~ sum(d,Y_344,U_346)
| sum(U_346,Z_345,v) ),
inference(resolution,[status(thm)],[c_72,c_3346]) ).
tff(c_5168,plain,
! [U_346] :
( ~ sum(d,additive_identity,U_346)
| sum(U_346,b,v)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_6,c_5154]) ).
tff(c_5179,plain,
! [U_346] :
( ~ sum(d,additive_identity,U_346)
| sum(U_346,b,v) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_5168]) ).
tff(c_8001,plain,
sum(c,b,v),
inference(resolution,[status(thm)],[c_7957,c_5179]) ).
tff(c_8106,plain,
sum(b,c,v),
inference(resolution,[status(thm)],[c_8001,c_10]) ).
tff(c_3111,plain,
! [X_259,U_258] :
( ~ sum(X_259,c,U_258)
| ~ less_or_equal(X_259,a)
| less_or_equal(U_258,u) ),
inference(resolution,[status(thm)],[c_70,c_3066]) ).
tff(c_8197,plain,
( ~ less_or_equal(b,a)
| less_or_equal(v,u) ),
inference(resolution,[status(thm)],[c_8106,c_3111]) ).
tff(c_8224,plain,
less_or_equal(v,u),
inference(demodulation,[status(thm),theory(equality)],[c_4551,c_8197]) ).
tff(c_8226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2907,c_8224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 19:52:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 9.11/3.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.11/3.14
% 9.11/3.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.11/3.18
% 9.11/3.18 Inference rules
% 9.11/3.18 ----------------------
% 9.11/3.18 #Ref : 0
% 9.11/3.18 #Sup : 1743
% 9.11/3.18 #Fact : 10
% 9.11/3.18 #Define : 0
% 9.11/3.18 #Split : 43
% 9.11/3.18 #Chain : 0
% 9.11/3.18 #Close : 0
% 9.11/3.18
% 9.11/3.18 Ordering : KBO
% 9.11/3.18
% 9.11/3.18 Simplification rules
% 9.11/3.18 ----------------------
% 9.11/3.18 #Subsume : 147
% 9.11/3.18 #Demod : 1124
% 9.11/3.18 #Tautology : 324
% 9.11/3.18 #SimpNegUnit : 20
% 9.11/3.18 #BackRed : 0
% 9.11/3.18
% 9.11/3.18 #Partial instantiations: 0
% 9.11/3.18 #Strategies tried : 1
% 9.11/3.18
% 9.11/3.18 Timing (in seconds)
% 9.11/3.18 ----------------------
% 9.11/3.18 Preprocessing : 0.51
% 9.11/3.18 Parsing : 0.27
% 9.11/3.18 CNF conversion : 0.03
% 9.11/3.18 Main loop : 1.59
% 9.11/3.18 Inferencing : 0.61
% 9.11/3.19 Reduction : 0.48
% 9.11/3.19 Demodulation : 0.34
% 9.11/3.19 BG Simplification : 0.05
% 9.11/3.19 Subsumption : 0.35
% 9.11/3.19 Abstraction : 0.04
% 9.11/3.19 MUC search : 0.00
% 9.11/3.19 Cooper : 0.00
% 9.28/3.19 Total : 2.17
% 9.28/3.19 Index Insertion : 0.00
% 9.28/3.19 Index Deletion : 0.00
% 9.28/3.19 Index Matching : 0.00
% 9.28/3.19 BG Taut test : 0.00
%------------------------------------------------------------------------------