TSTP Solution File: FLD031-5 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD031-5 : 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/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 : n013.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 11.76s 4.01s
% Output : CNFRefutation 11.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 51 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 44 ~; 45 |; 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_252,axiom,
~ sum(additive_identity,a,additive_identity),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
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_254,axiom,
~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(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_250,axiom,
product(multiplicative_identity,a,multiplicative_identity),
file(unknown,unknown) ).
tff(f_122,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
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_58,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
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_60,plain,
~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a)),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_18,plain,
! [X_31] :
( ~ defined(X_31)
| sum(additive_identity,X_31,additive_identity)
| product(multiplicative_inverse(X_31),X_31,multiplicative_identity) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_56,plain,
product(multiplicative_identity,a,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_250]) ).
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(a,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[c_56,c_66]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_975,plain,
! [Y_209,V_208,U_204,Z_205,W_206,X_207] :
( ~ product(U_204,Z_205,W_206)
| ~ product(Y_209,Z_205,V_208)
| ~ product(X_207,Y_209,U_204)
| product(X_207,V_208,W_206) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_1070,plain,
! [Y_217,V_218,X_219] :
( ~ product(Y_217,a,V_218)
| ~ product(X_219,Y_217,multiplicative_identity)
| product(X_219,V_218,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_56,c_975]) ).
tff(c_1084,plain,
! [X_219] :
( ~ product(X_219,multiplicative_identity,multiplicative_identity)
| product(X_219,a,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_16,c_1070]) ).
tff(c_1102,plain,
! [X_220] :
( ~ product(X_220,multiplicative_identity,multiplicative_identity)
| product(X_220,a,multiplicative_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1084]) ).
tff(c_1137,plain,
product(a,a,multiplicative_identity),
inference(resolution,[status(thm)],[c_72,c_1102]) ).
tff(c_1014,plain,
! [Y_209,V_208,X_207] :
( ~ product(Y_209,a,V_208)
| ~ product(X_207,Y_209,multiplicative_identity)
| product(X_207,V_208,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_56,c_975]) ).
tff(c_1284,plain,
! [X_228] :
( ~ product(X_228,a,multiplicative_identity)
| product(X_228,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_1137,c_1014]) ).
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_1312,plain,
! [X_229] :
( product(multiplicative_identity,X_229,multiplicative_identity)
| ~ product(X_229,a,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_1284,c_20]) ).
tff(c_1323,plain,
( product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_1312]) ).
tff(c_1335,plain,
( product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1323]) ).
tff(c_1336,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
inference(negUnitSimplification,[status(thm)],[c_58,c_1335]) ).
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_803,plain,
! [V_192,X_190,U_189,W_191,Y_187,Z_188] :
( ~ product(X_190,V_192,W_191)
| ~ product(Y_187,Z_188,V_192)
| ~ product(X_190,Y_187,U_189)
| product(U_189,Z_188,W_191) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_2839,plain,
! [Y_282,Z_283,X_284,U_285] :
( ~ product(Y_282,Z_283,X_284)
| ~ product(multiplicative_identity,Y_282,U_285)
| product(U_285,Z_283,X_284)
| ~ defined(X_284) ),
inference(resolution,[status(thm)],[c_16,c_803]) ).
tff(c_13485,plain,
! [X_471,U_472] :
( ~ product(multiplicative_identity,X_471,U_472)
| product(U_472,multiplicative_identity,X_471)
| ~ defined(X_471) ),
inference(resolution,[status(thm)],[c_71,c_2839]) ).
tff(c_13550,plain,
( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[status(thm)],[c_1336,c_13485]) ).
tff(c_13639,plain,
~ defined(multiplicative_inverse(a)),
inference(negUnitSimplification,[status(thm)],[c_60,c_13550]) ).
tff(c_13667,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_36,c_13639]) ).
tff(c_13670,plain,
sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_13667]) ).
tff(c_13672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_13670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD031-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 19:43:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 11.76/4.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.76/4.02
% 11.76/4.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.76/4.05
% 11.76/4.05 Inference rules
% 11.76/4.05 ----------------------
% 11.76/4.05 #Ref : 0
% 11.76/4.05 #Sup : 3049
% 11.76/4.05 #Fact : 4
% 11.76/4.05 #Define : 0
% 11.76/4.05 #Split : 7
% 11.76/4.05 #Chain : 0
% 11.76/4.05 #Close : 0
% 11.76/4.05
% 11.76/4.05 Ordering : KBO
% 11.76/4.05
% 11.76/4.05 Simplification rules
% 11.76/4.05 ----------------------
% 11.76/4.05 #Subsume : 286
% 11.76/4.05 #Demod : 1890
% 11.76/4.05 #Tautology : 622
% 11.76/4.05 #SimpNegUnit : 206
% 11.76/4.05 #BackRed : 0
% 11.76/4.05
% 11.76/4.05 #Partial instantiations: 0
% 11.76/4.05 #Strategies tried : 1
% 11.76/4.05
% 11.76/4.05 Timing (in seconds)
% 11.76/4.05 ----------------------
% 11.90/4.05 Preprocessing : 0.51
% 11.90/4.05 Parsing : 0.27
% 11.90/4.05 CNF conversion : 0.03
% 11.90/4.05 Main loop : 2.40
% 11.90/4.05 Inferencing : 0.63
% 11.90/4.05 Reduction : 0.71
% 11.90/4.05 Demodulation : 0.53
% 11.90/4.05 BG Simplification : 0.06
% 11.90/4.05 Subsumption : 0.85
% 11.90/4.06 Abstraction : 0.05
% 11.90/4.06 MUC search : 0.00
% 11.90/4.06 Cooper : 0.00
% 11.90/4.06 Total : 2.96
% 11.90/4.06 Index Insertion : 0.00
% 11.90/4.06 Index Deletion : 0.00
% 11.90/4.06 Index Matching : 0.00
% 11.90/4.06 BG Taut test : 0.00
%------------------------------------------------------------------------------