TSTP Solution File: BOO005-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n002.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 10:34:22 EDT 2023
% Result : Unsatisfiable 6.87s 2.75s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 38 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 54 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 5 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > inverse > x > multiplicative_identity > additive_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(x,type,
x: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_50,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file(unknown,unknown) ).
tff(f_184,axiom,
! [X] : sum(inverse(X),X,multiplicative_identity),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_186,axiom,
! [X] : sum(X,inverse(X),multiplicative_identity),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X] : product(multiplicative_identity,X,X),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X] : product(X,multiplicative_identity,X),
file(unknown,unknown) ).
tff(f_154,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ sum(X,Y,V1)
| ~ sum(X,Z,V2)
| ~ product(Y,Z,V3)
| ~ product(V1,V2,V4)
| sum(X,V3,V4) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_211,axiom,
~ sum(x,multiplicative_identity,multiplicative_identity),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2] : sum(X_1,Y_2,add(X_1,Y_2)),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_34,plain,
! [X_71] : sum(inverse(X_71),X_71,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_190,plain,
! [V_112,U_113,X_114,Y_115] :
( ( V_112 = U_113 )
| ~ sum(X_114,Y_115,V_112)
| ~ sum(X_114,Y_115,U_113) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_406,plain,
! [U_132,X_133] :
( ( multiplicative_identity = U_132 )
| ~ sum(inverse(X_133),X_133,U_132) ),
inference(resolution,[status(thm)],[c_34,c_190]) ).
tff(c_429,plain,
! [Y_2] : ( add(inverse(Y_2),Y_2) = multiplicative_identity ),
inference(resolution,[status(thm)],[c_2,c_406]) ).
tff(c_36,plain,
! [X_72] : sum(X_72,inverse(X_72),multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_14,plain,
! [X_13] : product(multiplicative_identity,X_13,X_13),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_16,plain,
! [X_14] : product(X_14,multiplicative_identity,X_14),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_1148,plain,
! [V3_211,Z_209,Y_212,V4_213,V2_208,V1_210,X_214] :
( sum(X_214,V3_211,V4_213)
| ~ product(V1_210,V2_208,V4_213)
| ~ product(Y_212,Z_209,V3_211)
| ~ sum(X_214,Z_209,V2_208)
| ~ sum(X_214,Y_212,V1_210) ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_4170,plain,
! [X_394,Y_392,X_395,V3_396,Z_393] :
( sum(X_394,V3_396,X_395)
| ~ product(Y_392,Z_393,V3_396)
| ~ sum(X_394,Z_393,multiplicative_identity)
| ~ sum(X_394,Y_392,X_395) ),
inference(resolution,[status(thm)],[c_16,c_1148]) ).
tff(c_4393,plain,
! [X_405,X_406,X_407] :
( sum(X_405,X_406,X_407)
| ~ sum(X_405,X_406,multiplicative_identity)
| ~ sum(X_405,multiplicative_identity,X_407) ),
inference(resolution,[status(thm)],[c_14,c_4170]) ).
tff(c_4671,plain,
! [X_415,X_416] :
( sum(X_415,inverse(X_415),X_416)
| ~ sum(X_415,multiplicative_identity,X_416) ),
inference(resolution,[status(thm)],[c_36,c_4393]) ).
tff(c_57,plain,
! [Y_95,X_96,Z_97] :
( sum(Y_95,X_96,Z_97)
| ~ sum(X_96,Y_95,Z_97) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_68,plain,
! [Y_2,X_1] : sum(Y_2,X_1,add(X_1,Y_2)),
inference(resolution,[status(thm)],[c_2,c_57]) ).
tff(c_203,plain,
! [X_1,Y_2,U_113] :
( ( add(X_1,Y_2) = U_113 )
| ~ sum(Y_2,X_1,U_113) ),
inference(resolution,[status(thm)],[c_68,c_190]) ).
tff(c_4716,plain,
! [X_415,X_416] :
( ( add(inverse(X_415),X_415) = X_416 )
| ~ sum(X_415,multiplicative_identity,X_416) ),
inference(resolution,[status(thm)],[c_4671,c_203]) ).
tff(c_4776,plain,
! [X_417,X_418] :
( ( multiplicative_identity = X_417 )
| ~ sum(X_418,multiplicative_identity,X_417) ),
inference(demodulation,[status(thm),theory(equality)],[c_429,c_4716]) ).
tff(c_4913,plain,
! [X_425] : ( add(X_425,multiplicative_identity) = multiplicative_identity ),
inference(resolution,[status(thm)],[c_2,c_4776]) ).
tff(c_4937,plain,
! [X_425] : sum(X_425,multiplicative_identity,multiplicative_identity),
inference(superposition,[status(thm),theory(equality)],[c_4913,c_2]) ).
tff(c_46,plain,
~ sum(x,multiplicative_identity,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_5052,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4937,c_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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 : n002.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 18:48:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.87/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.87/2.76
% 6.87/2.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.87/2.79
% 6.87/2.79 Inference rules
% 6.87/2.79 ----------------------
% 6.87/2.79 #Ref : 0
% 6.87/2.79 #Sup : 1173
% 6.87/2.79 #Fact : 0
% 6.87/2.79 #Define : 0
% 6.87/2.79 #Split : 5
% 6.87/2.79 #Chain : 0
% 6.87/2.79 #Close : 0
% 6.87/2.79
% 6.87/2.79 Ordering : KBO
% 6.87/2.79
% 6.87/2.79 Simplification rules
% 6.87/2.79 ----------------------
% 6.87/2.79 #Subsume : 278
% 6.87/2.79 #Demod : 473
% 6.87/2.79 #Tautology : 427
% 6.87/2.79 #SimpNegUnit : 0
% 6.87/2.79 #BackRed : 2
% 6.87/2.79
% 6.87/2.79 #Partial instantiations: 0
% 6.87/2.79 #Strategies tried : 1
% 6.87/2.79
% 6.87/2.79 Timing (in seconds)
% 6.87/2.79 ----------------------
% 6.87/2.79 Preprocessing : 0.52
% 6.87/2.79 Parsing : 0.30
% 6.87/2.79 CNF conversion : 0.03
% 6.87/2.79 Main loop : 1.10
% 6.87/2.79 Inferencing : 0.37
% 6.87/2.79 Reduction : 0.32
% 6.87/2.79 Demodulation : 0.23
% 6.87/2.79 BG Simplification : 0.04
% 6.87/2.79 Subsumption : 0.29
% 6.87/2.79 Abstraction : 0.04
% 6.87/2.79 MUC search : 0.00
% 6.87/2.79 Cooper : 0.00
% 6.87/2.79 Total : 1.67
% 6.87/2.79 Index Insertion : 0.00
% 6.87/2.79 Index Deletion : 0.00
% 6.87/2.79 Index Matching : 0.00
% 6.87/2.79 BG Taut test : 0.00
%------------------------------------------------------------------------------