TSTP Solution File: FLD013-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD013-4 : 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 : n004.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 10:37:27 EDT 2023
% Result : Unsatisfiable 8.13s 2.95s
% Output : CNFRefutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 57 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 53 (; 53 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > 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(add,type,
add: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_258,axiom,
~ sum(d,b,u),
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_254,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_204,axiom,
! [X,Y] :
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
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_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_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_255,axiom,
sum(additive_identity,c,d),
file(unknown,unknown) ).
tff(f_256,axiom,
sum(a,c,u),
file(unknown,unknown) ).
tff(c_70,plain,
~ sum(d,b,u),
inference(cnfTransformation,[status(thm)],[f_258]) ).
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_139,plain,
! [Y_65] :
( ~ defined(Y_65)
| less_or_equal(Y_65,Y_65) ),
inference(factorization,[status(thm),theory(equality)],[c_46]) ).
tff(c_64,plain,
sum(additive_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_233,plain,
! [V_123,Z_121,Y_122,U_119,X_120] :
( ~ sum(Y_122,Z_121,V_123)
| ~ sum(X_120,Z_121,U_119)
| ~ less_or_equal(X_120,Y_122)
| less_or_equal(U_119,V_123) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_276,plain,
! [X_124,U_125] :
( ~ sum(X_124,a,U_125)
| ~ less_or_equal(X_124,additive_identity)
| less_or_equal(U_125,b) ),
inference(resolution,[status(thm)],[c_64,c_233]) ).
tff(c_317,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(b,b) ),
inference(resolution,[status(thm)],[c_64,c_276]) ).
tff(c_383,plain,
~ less_or_equal(additive_identity,additive_identity),
inference(splitLeft,[status(thm)],[c_317]) ).
tff(c_386,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_139,c_383]) ).
tff(c_392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_386]) ).
tff(c_394,plain,
less_or_equal(additive_identity,additive_identity),
inference(splitRight,[status(thm)],[c_317]) ).
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_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_331,plain,
! [W_131,Z_126,U_129,Y_127,X_130,V_128] :
( ~ sum(U_129,Z_126,W_131)
| ~ sum(Y_127,Z_126,V_128)
| ~ sum(X_130,Y_127,U_129)
| sum(X_130,V_128,W_131) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3359,plain,
! [Y_235,X_236,V_237,X_238] :
( ~ sum(Y_235,X_236,V_237)
| ~ sum(X_238,Y_235,additive_identity)
| sum(X_238,V_237,X_236)
| ~ defined(X_236) ),
inference(resolution,[status(thm)],[c_6,c_331]) ).
tff(c_3441,plain,
! [X_238] :
( ~ sum(X_238,additive_identity,additive_identity)
| sum(X_238,b,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_64,c_3359]) ).
tff(c_3784,plain,
! [X_246] :
( ~ sum(X_246,additive_identity,additive_identity)
| sum(X_246,b,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_3441]) ).
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_5478,plain,
! [X_272] :
( sum(b,X_272,a)
| ~ sum(X_272,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_3784,c_10]) ).
tff(c_5484,plain,
( sum(b,additive_identity,a)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_42,c_5478]) ).
tff(c_5497,plain,
sum(b,additive_identity,a),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_5484]) ).
tff(c_66,plain,
sum(additive_identity,c,d),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_68,plain,
sum(a,c,u),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_1200,plain,
! [Y_182,V_183,X_184] :
( ~ sum(Y_182,c,V_183)
| ~ sum(X_184,Y_182,a)
| sum(X_184,V_183,u) ),
inference(resolution,[status(thm)],[c_68,c_331]) ).
tff(c_1994,plain,
! [X_210] :
( ~ sum(X_210,additive_identity,a)
| sum(X_210,d,u) ),
inference(resolution,[status(thm)],[c_66,c_1200]) ).
tff(c_5785,plain,
! [X_278] :
( sum(d,X_278,u)
| ~ sum(X_278,additive_identity,a) ),
inference(resolution,[status(thm)],[c_1994,c_10]) ).
tff(c_5787,plain,
sum(d,b,u),
inference(resolution,[status(thm)],[c_5497,c_5785]) ).
tff(c_5800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_5787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 19:47:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 8.13/2.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.13/2.95
% 8.13/2.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.51/2.99
% 8.51/2.99 Inference rules
% 8.51/2.99 ----------------------
% 8.51/2.99 #Ref : 0
% 8.51/2.99 #Sup : 1289
% 8.51/2.99 #Fact : 6
% 8.51/2.99 #Define : 0
% 8.51/2.99 #Split : 15
% 8.51/2.99 #Chain : 0
% 8.51/2.99 #Close : 0
% 8.51/2.99
% 8.51/2.99 Ordering : KBO
% 8.51/2.99
% 8.51/2.99 Simplification rules
% 8.51/2.99 ----------------------
% 8.51/2.99 #Subsume : 140
% 8.51/2.99 #Demod : 777
% 8.51/2.99 #Tautology : 198
% 8.51/2.99 #SimpNegUnit : 25
% 8.51/2.99 #BackRed : 0
% 8.51/2.99
% 8.51/2.99 #Partial instantiations: 0
% 8.51/2.99 #Strategies tried : 1
% 8.51/2.99
% 8.51/2.99 Timing (in seconds)
% 8.51/2.99 ----------------------
% 8.51/2.99 Preprocessing : 0.49
% 8.51/2.99 Parsing : 0.26
% 8.51/2.99 CNF conversion : 0.03
% 8.51/2.99 Main loop : 1.45
% 8.51/2.99 Inferencing : 0.48
% 8.51/2.99 Reduction : 0.45
% 8.51/2.99 Demodulation : 0.32
% 8.51/2.99 BG Simplification : 0.04
% 8.51/2.99 Subsumption : 0.36
% 8.51/2.99 Abstraction : 0.04
% 8.51/2.99 MUC search : 0.00
% 8.51/2.99 Cooper : 0.00
% 8.51/2.99 Total : 2.00
% 8.51/2.99 Index Insertion : 0.00
% 8.51/2.99 Index Deletion : 0.00
% 8.51/2.99 Index Matching : 0.00
% 8.51/2.99 BG Taut test : 0.00
%------------------------------------------------------------------------------