TSTP Solution File: FLD032-3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD032-3 : 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 : n020.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 10:37:32 EDT 2023
% Result : Unsatisfiable 5.02s 2.17s
% Output : CNFRefutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 54 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 92 ( 45 ~; 47 |; 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > 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(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_254,axiom,
~ product(multiplicative_identity,a,multiplicative_identity),
file(unknown,unknown) ).
tff(f_251,axiom,
~ sum(additive_identity,a,additive_identity),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
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_252,axiom,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file(unknown,unknown) ).
tff(f_180,axiom,
! [X] :
( defined(multiplicative_inverse(X))
| ~ defined(X)
| sum(additive_identity,X,additive_identity) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
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(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(c_60,plain,
~ product(multiplicative_identity,a,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_56,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_147,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_150,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_147,c_20]) ).
tff(c_58,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_66,plain,
! [X_80,Y_81,Z_82] :
( ~ product(X_80,Y_81,Z_82)
| product(Y_81,X_80,Z_82) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_72,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[c_58,c_66]) ).
tff(c_36,plain,
! [X_54] :
( sum(additive_identity,X_54,additive_identity)
| ~ defined(X_54)
| defined(multiplicative_inverse(X_54)) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_71,plain,
! [X_30] :
( product(X_30,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_66]) ).
tff(c_490,plain,
! [U_152,W_154,Y_150,Z_151,X_153,V_155] :
( ~ product(X_153,V_155,W_154)
| ~ product(Y_150,Z_151,V_155)
| ~ product(X_153,Y_150,U_152)
| product(U_152,Z_151,W_154) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_698,plain,
! [Y_180,Z_181,U_182] :
( ~ product(Y_180,Z_181,multiplicative_inverse(a))
| ~ product(multiplicative_identity,Y_180,U_182)
| product(U_182,Z_181,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_58,c_490]) ).
tff(c_705,plain,
! [U_182] :
( ~ product(multiplicative_identity,multiplicative_inverse(a),U_182)
| product(U_182,multiplicative_identity,multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[status(thm)],[c_71,c_698]) ).
tff(c_707,plain,
~ defined(multiplicative_inverse(a)),
inference(splitLeft,[status(thm)],[c_705]) ).
tff(c_735,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_36,c_707]) ).
tff(c_738,plain,
sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_735]) ).
tff(c_740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_738]) ).
tff(c_742,plain,
defined(multiplicative_inverse(a)),
inference(splitRight,[status(thm)],[c_705]) ).
tff(c_356,plain,
! [Z_133,V_136,X_135,W_134,U_132,Y_137] :
( ~ product(U_132,Z_133,W_134)
| ~ product(Y_137,Z_133,V_136)
| ~ product(X_135,Y_137,U_132)
| product(X_135,V_136,W_134) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_978,plain,
! [Y_203,V_204,X_205] :
( ~ product(Y_203,multiplicative_inverse(a),V_204)
| ~ product(X_205,Y_203,multiplicative_identity)
| product(X_205,V_204,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_58,c_356]) ).
tff(c_998,plain,
! [X_205] :
( ~ product(X_205,multiplicative_identity,multiplicative_identity)
| product(X_205,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[status(thm)],[c_16,c_978]) ).
tff(c_1054,plain,
! [X_208] :
( ~ product(X_208,multiplicative_identity,multiplicative_identity)
| product(X_208,multiplicative_inverse(a),multiplicative_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_742,c_998]) ).
tff(c_1082,plain,
! [X_209] :
( product(multiplicative_inverse(a),X_209,multiplicative_identity)
| ~ product(X_209,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_1054,c_20]) ).
tff(c_380,plain,
! [Y_137,V_136,X_135] :
( ~ product(Y_137,multiplicative_inverse(a),V_136)
| ~ product(X_135,Y_137,multiplicative_identity)
| product(X_135,V_136,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_58,c_356]) ).
tff(c_1088,plain,
! [X_135] :
( ~ product(X_135,multiplicative_inverse(a),multiplicative_identity)
| product(X_135,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_1082,c_380]) ).
tff(c_1117,plain,
! [X_210] :
( ~ product(X_210,multiplicative_inverse(a),multiplicative_identity)
| product(X_210,multiplicative_identity,multiplicative_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_1088]) ).
tff(c_1135,plain,
( product(a,multiplicative_identity,multiplicative_identity)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_150,c_1117]) ).
tff(c_1152,plain,
( product(a,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1135]) ).
tff(c_1153,plain,
product(a,multiplicative_identity,multiplicative_identity),
inference(negUnitSimplification,[status(thm)],[c_56,c_1152]) ).
tff(c_1171,plain,
product(multiplicative_identity,a,multiplicative_identity),
inference(resolution,[status(thm)],[c_1153,c_20]) ).
tff(c_1181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD032-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % 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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 19:58:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 5.02/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.02/2.17
% 5.02/2.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.02/2.21
% 5.02/2.21 Inference rules
% 5.02/2.21 ----------------------
% 5.02/2.21 #Ref : 0
% 5.02/2.21 #Sup : 266
% 5.02/2.21 #Fact : 2
% 5.02/2.21 #Define : 0
% 5.02/2.21 #Split : 5
% 5.02/2.21 #Chain : 0
% 5.02/2.21 #Close : 0
% 5.02/2.21
% 5.02/2.21 Ordering : KBO
% 5.02/2.21
% 5.02/2.21 Simplification rules
% 5.02/2.21 ----------------------
% 5.02/2.21 #Subsume : 45
% 5.02/2.21 #Demod : 74
% 5.02/2.21 #Tautology : 29
% 5.02/2.21 #SimpNegUnit : 20
% 5.02/2.21 #BackRed : 0
% 5.02/2.21
% 5.02/2.21 #Partial instantiations: 0
% 5.02/2.21 #Strategies tried : 1
% 5.02/2.21
% 5.02/2.21 Timing (in seconds)
% 5.02/2.21 ----------------------
% 5.02/2.21 Preprocessing : 0.50
% 5.02/2.21 Parsing : 0.27
% 5.02/2.21 CNF conversion : 0.03
% 5.02/2.21 Main loop : 0.64
% 5.02/2.21 Inferencing : 0.24
% 5.02/2.21 Reduction : 0.15
% 5.02/2.21 Demodulation : 0.10
% 5.02/2.21 BG Simplification : 0.03
% 5.02/2.21 Subsumption : 0.17
% 5.02/2.21 Abstraction : 0.02
% 5.02/2.21 MUC search : 0.00
% 5.02/2.21 Cooper : 0.00
% 5.02/2.21 Total : 1.20
% 5.02/2.21 Index Insertion : 0.00
% 5.02/2.21 Index Deletion : 0.00
% 5.02/2.21 Index Matching : 0.00
% 5.02/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------