TSTP Solution File: FLD025-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD025-4 : 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/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 : n009.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 10:37:30 EDT 2023
% Result : Unsatisfiable 7.24s 2.73s
% Output : CNFRefutation 7.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 46 ( 17 unt; 15 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 34 (; 34 !; 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,
~ product(d,b,u),
file(unknown,unknown) ).
tff(f_173,axiom,
defined(multiplicative_identity),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_122,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_254,axiom,
product(multiplicative_identity,a,b),
file(unknown,unknown) ).
tff(f_94,axiom,
! [W,U,Z,X,Y,V] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_255,axiom,
product(multiplicative_identity,c,d),
file(unknown,unknown) ).
tff(f_256,axiom,
product(a,c,u),
file(unknown,unknown) ).
tff(c_70,plain,
~ product(d,b,u),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_34,plain,
defined(multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_91,plain,
! [X_85,Y_86,Z_87] :
( ~ product(X_85,Y_86,Z_87)
| product(Y_86,X_85,Z_87) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_100,plain,
! [X_30] :
( product(X_30,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_91]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_64,plain,
product(multiplicative_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_504,plain,
! [Z_145,V_148,X_147,W_146,U_144,Y_149] :
( ~ product(U_144,Z_145,W_146)
| ~ product(Y_149,Z_145,V_148)
| ~ product(X_147,Y_149,U_144)
| product(X_147,V_148,W_146) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_3423,plain,
! [Y_248,X_249,V_250,X_251] :
( ~ product(Y_248,X_249,V_250)
| ~ product(X_251,Y_248,multiplicative_identity)
| product(X_251,V_250,X_249)
| ~ defined(X_249) ),
inference(resolution,[status(thm)],[c_16,c_504]) ).
tff(c_3551,plain,
! [X_251] :
( ~ product(X_251,multiplicative_identity,multiplicative_identity)
| product(X_251,b,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_64,c_3423]) ).
tff(c_3828,plain,
! [X_256] :
( ~ product(X_256,multiplicative_identity,multiplicative_identity)
| product(X_256,b,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_3551]) ).
tff(c_3836,plain,
( product(multiplicative_identity,b,a)
| ~ defined(multiplicative_identity) ),
inference(resolution,[status(thm)],[c_100,c_3828]) ).
tff(c_3847,plain,
product(multiplicative_identity,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_3836]) ).
tff(c_20,plain,
! [X_33,Y_32,Z_34] :
( ~ product(X_33,Y_32,Z_34)
| product(Y_32,X_33,Z_34) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_3888,plain,
product(b,multiplicative_identity,a),
inference(resolution,[status(thm)],[c_3847,c_20]) ).
tff(c_66,plain,
product(multiplicative_identity,c,d),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_68,plain,
product(a,c,u),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_916,plain,
! [Y_183,V_184,X_185] :
( ~ product(Y_183,c,V_184)
| ~ product(X_185,Y_183,a)
| product(X_185,V_184,u) ),
inference(resolution,[status(thm)],[c_68,c_504]) ).
tff(c_946,plain,
! [X_185] :
( ~ product(X_185,multiplicative_identity,a)
| product(X_185,d,u) ),
inference(resolution,[status(thm)],[c_66,c_916]) ).
tff(c_3922,plain,
product(b,d,u),
inference(resolution,[status(thm)],[c_3888,c_946]) ).
tff(c_3944,plain,
product(d,b,u),
inference(resolution,[status(thm)],[c_3922,c_20]) ).
tff(c_3958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_3944]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD025-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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
% 0.14/0.35 % Computer : n009.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 19:45:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.24/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.24/2.74
% 7.24/2.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.60/2.80
% 7.60/2.80 Inference rules
% 7.60/2.80 ----------------------
% 7.60/2.80 #Ref : 0
% 7.60/2.80 #Sup : 913
% 7.60/2.80 #Fact : 4
% 7.60/2.80 #Define : 0
% 7.60/2.80 #Split : 7
% 7.60/2.80 #Chain : 0
% 7.60/2.80 #Close : 0
% 7.60/2.80
% 7.60/2.80 Ordering : KBO
% 7.60/2.80
% 7.60/2.80 Simplification rules
% 7.60/2.80 ----------------------
% 7.60/2.80 #Subsume : 125
% 7.60/2.80 #Demod : 469
% 7.60/2.80 #Tautology : 152
% 7.60/2.80 #SimpNegUnit : 15
% 7.60/2.80 #BackRed : 0
% 7.60/2.80
% 7.60/2.80 #Partial instantiations: 0
% 7.60/2.80 #Strategies tried : 1
% 7.60/2.80
% 7.60/2.80 Timing (in seconds)
% 7.60/2.80 ----------------------
% 7.60/2.81 Preprocessing : 0.52
% 7.60/2.81 Parsing : 0.29
% 7.60/2.81 CNF conversion : 0.03
% 7.60/2.81 Main loop : 1.19
% 7.60/2.81 Inferencing : 0.40
% 7.60/2.81 Reduction : 0.36
% 7.60/2.81 Demodulation : 0.26
% 7.60/2.81 BG Simplification : 0.04
% 7.60/2.81 Subsumption : 0.30
% 7.60/2.81 Abstraction : 0.03
% 7.60/2.81 MUC search : 0.00
% 7.60/2.81 Cooper : 0.00
% 7.60/2.81 Total : 1.80
% 7.60/2.81 Index Insertion : 0.00
% 7.60/2.81 Index Deletion : 0.00
% 7.60/2.81 Index Matching : 0.00
% 7.60/2.81 BG Taut test : 0.00
%------------------------------------------------------------------------------