TSTP Solution File: FLD043-3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD043-3 : 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/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 : n019.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 10:37:35 EDT 2023
% Result : Unsatisfiable 19.33s 8.53s
% Output : CNFRefutation 19.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 60 ( 19 unt; 12 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 59 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 75 (; 75 !; 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_253,axiom,
~ sum(additive_identity,b,additive_identity),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_173,axiom,
defined(multiplicative_identity),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_251,axiom,
product(additive_identity,a,b),
file(unknown,unknown) ).
tff(f_136,axiom,
! [A,Z,B,C,X,Y,D] :
( sum(C,D,B)
| ~ sum(X,Y,A)
| ~ product(A,Z,B)
| ~ product(X,Z,C)
| ~ product(Y,Z,D) ),
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_68,axiom,
! [W,U,Z,X,Y,V] :
( sum(U,Z,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W) ),
file(unknown,unknown) ).
tff(c_60,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_8,plain,
! [X_14] :
( ~ defined(X_14)
| sum(additive_inverse(X_14),X_14,additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_34,plain,
defined(multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_81,plain,
! [X_84,Y_85,Z_86] :
( ~ sum(X_84,Y_85,Z_86)
| sum(Y_85,X_84,Z_86) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_87,plain,
! [X_13] :
( sum(X_13,additive_identity,X_13)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_6,c_81]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_58,plain,
product(additive_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_763,plain,
! [X_178,Y_175,B_177,A_174,Z_176,D_180,C_179] :
( ~ product(Y_175,Z_176,D_180)
| ~ product(X_178,Z_176,C_179)
| ~ product(A_174,Z_176,B_177)
| ~ sum(X_178,Y_175,A_174)
| sum(C_179,D_180,B_177) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_23686,plain,
! [X_511,C_512,A_513,B_514] :
( ~ product(X_511,a,C_512)
| ~ product(A_513,a,B_514)
| ~ sum(X_511,additive_identity,A_513)
| sum(C_512,b,B_514) ),
inference(resolution,[status(thm)],[c_58,c_763]) ).
tff(c_23708,plain,
! [A_513,B_514] :
( ~ product(A_513,a,B_514)
| ~ sum(multiplicative_identity,additive_identity,A_513)
| sum(a,b,B_514)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_16,c_23686]) ).
tff(c_40704,plain,
! [A_724,B_725] :
( ~ product(A_724,a,B_725)
| ~ sum(multiplicative_identity,additive_identity,A_724)
| sum(a,b,B_725) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_23708]) ).
tff(c_40771,plain,
( ~ sum(multiplicative_identity,additive_identity,multiplicative_identity)
| sum(a,b,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_16,c_40704]) ).
tff(c_40814,plain,
( ~ sum(multiplicative_identity,additive_identity,multiplicative_identity)
| sum(a,b,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_40771]) ).
tff(c_40904,plain,
~ sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(splitLeft,[status(thm)],[c_40814]) ).
tff(c_40910,plain,
~ defined(multiplicative_identity),
inference(resolution,[status(thm)],[c_87,c_40904]) ).
tff(c_40915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_40910]) ).
tff(c_40916,plain,
sum(a,b,a),
inference(splitRight,[status(thm)],[c_40814]) ).
tff(c_508,plain,
! [V_149,X_151,Y_148,W_152,U_150,Z_147] :
( ~ sum(U_150,Z_147,W_152)
| ~ sum(Y_148,Z_147,V_149)
| ~ sum(X_151,Y_148,U_150)
| sum(X_151,V_149,W_152) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_532,plain,
! [Y_148,X_13,V_149,X_151] :
( ~ sum(Y_148,X_13,V_149)
| ~ sum(X_151,Y_148,additive_identity)
| sum(X_151,V_149,X_13)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_6,c_508]) ).
tff(c_40941,plain,
! [X_151] :
( ~ sum(X_151,a,additive_identity)
| sum(X_151,a,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_40916,c_532]) ).
tff(c_41828,plain,
! [X_734] :
( ~ sum(X_734,a,additive_identity)
| sum(X_734,a,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_40941]) ).
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_42767,plain,
! [X_741] :
( sum(a,X_741,b)
| ~ sum(X_741,a,additive_identity) ),
inference(resolution,[status(thm)],[c_41828,c_10]) ).
tff(c_42779,plain,
( sum(a,additive_inverse(a),b)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_8,c_42767]) ).
tff(c_42785,plain,
sum(a,additive_inverse(a),b),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_42779]) ).
tff(c_42846,plain,
sum(additive_inverse(a),a,b),
inference(resolution,[status(thm)],[c_42785,c_10]) ).
tff(c_687,plain,
! [Z_167,V_170,U_169,Y_172,W_168,X_171] :
( ~ sum(X_171,V_170,W_168)
| ~ sum(Y_172,Z_167,V_170)
| ~ sum(X_171,Y_172,U_169)
| sum(U_169,Z_167,W_168) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_22866,plain,
! [Y_493,Z_494,X_495,U_496] :
( ~ sum(Y_493,Z_494,X_495)
| ~ sum(additive_inverse(X_495),Y_493,U_496)
| sum(U_496,Z_494,additive_identity)
| ~ defined(X_495) ),
inference(resolution,[status(thm)],[c_8,c_687]) ).
tff(c_22914,plain,
! [X_13,U_496] :
( ~ sum(additive_inverse(X_13),X_13,U_496)
| sum(U_496,additive_identity,additive_identity)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_87,c_22866]) ).
tff(c_42852,plain,
( sum(b,additive_identity,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_42846,c_22914]) ).
tff(c_42891,plain,
sum(b,additive_identity,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_42852]) ).
tff(c_42973,plain,
sum(additive_identity,b,additive_identity),
inference(resolution,[status(thm)],[c_42891,c_10]) ).
tff(c_43018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_42973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD043-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 19:57:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.33/8.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.33/8.54
% 19.33/8.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.33/8.57
% 19.33/8.57 Inference rules
% 19.33/8.57 ----------------------
% 19.33/8.57 #Ref : 0
% 19.33/8.57 #Sup : 9703
% 19.33/8.57 #Fact : 6
% 19.33/8.57 #Define : 0
% 19.33/8.57 #Split : 52
% 19.33/8.57 #Chain : 0
% 19.33/8.57 #Close : 0
% 19.33/8.57
% 19.33/8.57 Ordering : KBO
% 19.33/8.57
% 19.33/8.57 Simplification rules
% 19.33/8.57 ----------------------
% 19.33/8.57 #Subsume : 679
% 19.33/8.57 #Demod : 6720
% 19.33/8.57 #Tautology : 1827
% 19.33/8.57 #SimpNegUnit : 313
% 19.33/8.57 #BackRed : 0
% 19.33/8.57
% 19.33/8.57 #Partial instantiations: 0
% 19.33/8.57 #Strategies tried : 1
% 19.33/8.57
% 19.33/8.57 Timing (in seconds)
% 19.33/8.57 ----------------------
% 19.33/8.57 Preprocessing : 0.51
% 19.33/8.57 Parsing : 0.29
% 19.33/8.57 CNF conversion : 0.03
% 19.33/8.57 Main loop : 6.91
% 19.33/8.57 Inferencing : 1.25
% 19.33/8.57 Reduction : 2.59
% 19.33/8.57 Demodulation : 2.03
% 19.33/8.57 BG Simplification : 0.10
% 19.33/8.57 Subsumption : 2.45
% 19.33/8.57 Abstraction : 0.12
% 19.33/8.57 MUC search : 0.00
% 19.33/8.57 Cooper : 0.00
% 19.33/8.57 Total : 7.47
% 19.33/8.57 Index Insertion : 0.00
% 19.33/8.57 Index Deletion : 0.00
% 19.33/8.57 Index Matching : 0.00
% 19.33/8.57 BG Taut test : 0.00
%------------------------------------------------------------------------------