TSTP Solution File: FLD027-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD027-3 : 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 : n022.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 10:37:31 EDT 2023
% Result : Unsatisfiable 9.49s 3.26s
% Output : CNFRefutation 9.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 60 ( 21 unt; 12 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 48 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > 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(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(f_257,axiom,
~ product(multiplicative_identity,a,b),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_254,axiom,
~ sum(additive_identity,b,additive_identity),
file(unknown,unknown) ).
tff(f_117,axiom,
! [X] :
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ 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_252,axiom,
~ sum(additive_identity,a,additive_identity),
file(unknown,unknown) ).
tff(f_173,axiom,
defined(multiplicative_identity),
file(unknown,unknown) ).
tff(f_255,axiom,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
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_105,axiom,
! [W,U,Z,X,Y,V] :
( product(U,Z,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W) ),
file(unknown,unknown) ).
tff(c_64,plain,
~ product(multiplicative_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_60,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_152,plain,
! [X_104] :
( ~ defined(X_104)
| sum(additive_identity,X_104,additive_identity)
| product(multiplicative_inverse(X_104),X_104,multiplicative_identity) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
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_155,plain,
! [X_104] :
( product(X_104,multiplicative_inverse(X_104),multiplicative_identity)
| ~ defined(X_104)
| sum(additive_identity,X_104,additive_identity) ),
inference(resolution,[status(thm)],[c_152,c_20]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_58,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_34,plain,
defined(multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_62,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_86,plain,
! [X_87,Y_88,Z_89] :
( ~ product(X_87,Y_88,Z_89)
| product(Y_88,X_87,Z_89) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_92,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_inverse(b)),
inference(resolution,[status(thm)],[c_62,c_86]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_357,plain,
! [Z_134,V_137,X_136,U_133,W_135,Y_138] :
( ~ product(U_133,Z_134,W_135)
| ~ product(Y_138,Z_134,V_137)
| ~ product(X_136,Y_138,U_133)
| product(X_136,V_137,W_135) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_3110,plain,
! [Y_249,X_250,V_251,X_252] :
( ~ product(Y_249,X_250,V_251)
| ~ product(X_252,Y_249,multiplicative_identity)
| product(X_252,V_251,X_250)
| ~ defined(X_250) ),
inference(resolution,[status(thm)],[c_16,c_357]) ).
tff(c_3136,plain,
! [X_252] :
( ~ product(X_252,multiplicative_inverse(a),multiplicative_identity)
| product(X_252,multiplicative_inverse(b),multiplicative_identity)
| ~ defined(multiplicative_identity) ),
inference(resolution,[status(thm)],[c_92,c_3110]) ).
tff(c_3312,plain,
! [X_256] :
( ~ product(X_256,multiplicative_inverse(a),multiplicative_identity)
| product(X_256,multiplicative_inverse(b),multiplicative_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_3136]) ).
tff(c_7934,plain,
! [X_354] :
( product(multiplicative_inverse(b),X_354,multiplicative_identity)
| ~ product(X_354,multiplicative_inverse(a),multiplicative_identity) ),
inference(resolution,[status(thm)],[c_3312,c_20]) ).
tff(c_7937,plain,
( product(multiplicative_inverse(b),a,multiplicative_identity)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_155,c_7934]) ).
tff(c_7943,plain,
( product(multiplicative_inverse(b),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_7937]) ).
tff(c_7944,plain,
product(multiplicative_inverse(b),a,multiplicative_identity),
inference(negUnitSimplification,[status(thm)],[c_58,c_7943]) ).
tff(c_380,plain,
! [Y_138,X_30,V_137,X_136] :
( ~ product(Y_138,X_30,V_137)
| ~ product(X_136,Y_138,multiplicative_identity)
| product(X_136,V_137,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_357]) ).
tff(c_7953,plain,
! [X_136] :
( ~ product(X_136,multiplicative_inverse(b),multiplicative_identity)
| product(X_136,multiplicative_identity,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_7944,c_380]) ).
tff(c_8297,plain,
! [X_361] :
( ~ product(X_361,multiplicative_inverse(b),multiplicative_identity)
| product(X_361,multiplicative_identity,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_7953]) ).
tff(c_8307,plain,
( product(b,multiplicative_identity,a)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[c_155,c_8297]) ).
tff(c_8316,plain,
( product(b,multiplicative_identity,a)
| sum(additive_identity,b,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_8307]) ).
tff(c_8317,plain,
product(b,multiplicative_identity,a),
inference(negUnitSimplification,[status(thm)],[c_60,c_8316]) ).
tff(c_8545,plain,
product(multiplicative_identity,b,a),
inference(resolution,[status(thm)],[c_8317,c_20]) ).
tff(c_91,plain,
! [X_30] :
( product(X_30,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_86]) ).
tff(c_272,plain,
! [Z_123,X_125,U_124,Y_122,V_127,W_126] :
( ~ product(X_125,V_127,W_126)
| ~ product(Y_122,Z_123,V_127)
| ~ product(X_125,Y_122,U_124)
| product(U_124,Z_123,W_126) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_3720,plain,
! [Y_269,Z_270,X_271,U_272] :
( ~ product(Y_269,Z_270,X_271)
| ~ product(multiplicative_identity,Y_269,U_272)
| product(U_272,Z_270,X_271)
| ~ defined(X_271) ),
inference(resolution,[status(thm)],[c_16,c_272]) ).
tff(c_3796,plain,
! [X_30,U_272] :
( ~ product(multiplicative_identity,X_30,U_272)
| product(U_272,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_91,c_3720]) ).
tff(c_8600,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_8545,c_3796]) ).
tff(c_8627,plain,
product(a,multiplicative_identity,b),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_8600]) ).
tff(c_8832,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_8627,c_20]) ).
tff(c_8856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_8832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 19:53:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 9.49/3.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.49/3.27
% 9.49/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.49/3.30
% 9.49/3.30 Inference rules
% 9.49/3.30 ----------------------
% 9.49/3.30 #Ref : 0
% 9.49/3.30 #Sup : 1992
% 9.49/3.30 #Fact : 8
% 9.49/3.30 #Define : 0
% 9.49/3.30 #Split : 11
% 9.49/3.30 #Chain : 0
% 9.49/3.30 #Close : 0
% 9.49/3.30
% 9.49/3.30 Ordering : KBO
% 9.49/3.30
% 9.49/3.30 Simplification rules
% 9.49/3.30 ----------------------
% 9.49/3.30 #Subsume : 333
% 9.49/3.30 #Demod : 1381
% 9.49/3.30 #Tautology : 372
% 9.49/3.30 #SimpNegUnit : 17
% 9.49/3.30 #BackRed : 0
% 9.49/3.30
% 9.49/3.30 #Partial instantiations: 0
% 9.49/3.30 #Strategies tried : 1
% 9.49/3.30
% 9.49/3.30 Timing (in seconds)
% 9.49/3.30 ----------------------
% 9.49/3.30 Preprocessing : 0.51
% 9.49/3.30 Parsing : 0.28
% 9.49/3.30 CNF conversion : 0.03
% 9.49/3.30 Main loop : 1.73
% 9.49/3.30 Inferencing : 0.53
% 9.49/3.30 Reduction : 0.52
% 9.49/3.30 Demodulation : 0.37
% 9.49/3.30 BG Simplification : 0.05
% 9.49/3.30 Subsumption : 0.51
% 9.49/3.30 Abstraction : 0.04
% 9.49/3.31 MUC search : 0.00
% 9.49/3.31 Cooper : 0.00
% 9.49/3.31 Total : 2.29
% 9.49/3.31 Index Insertion : 0.00
% 9.49/3.31 Index Deletion : 0.00
% 9.49/3.31 Index Matching : 0.00
% 9.49/3.31 BG Taut test : 0.00
%------------------------------------------------------------------------------