TSTP Solution File: RNG001-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG001-4 : 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/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 : 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 10:54:40 EDT 2023
% Result : Unsatisfiable 17.77s 7.83s
% Output : CNFRefutation 17.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > additive_inverse > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_49,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_118,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file(unknown,unknown) ).
tff(f_187,axiom,
! [X,Y,Z,W] :
( ~ sum(X,Y,Z)
| ~ sum(X,W,Z)
| ( Y = W ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
~ product(a,additive_identity,additive_identity),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_4,plain,
! [X_2] : sum(X_2,additive_identity,X_2),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_894,plain,
! [V3_185,X_191,V4_186,V2_190,Y_187,V1_189,Z_188] :
( sum(V1_189,V2_190,V4_186)
| ~ product(X_191,V3_185,V4_186)
| ~ sum(Y_187,Z_188,V3_185)
| ~ product(X_191,Z_188,V2_190)
| ~ product(X_191,Y_187,V1_189) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_12287,plain,
! [V2_477,X_481,Y_482,Z_478,Y_479,V1_480] :
( sum(V1_480,V2_477,multiply(X_481,Y_482))
| ~ sum(Y_479,Z_478,Y_482)
| ~ product(X_481,Z_478,V2_477)
| ~ product(X_481,Y_479,V1_480) ),
inference(resolution,[status(thm)],[c_6,c_894]) ).
tff(c_65569,plain,
! [V1_1018,V2_1019,X_1020,X_1021] :
( sum(V1_1018,V2_1019,multiply(X_1020,X_1021))
| ~ product(X_1020,additive_identity,V2_1019)
| ~ product(X_1020,X_1021,V1_1018) ),
inference(resolution,[status(thm)],[c_4,c_12287]) ).
tff(c_72,plain,
! [Y_93,W_94,X_95,Z_96] :
( ( Y_93 = W_94 )
| ~ sum(X_95,W_94,Z_96)
| ~ sum(X_95,Y_93,Z_96) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_90,plain,
! [Y_93,X_2] :
( ( additive_identity = Y_93 )
| ~ sum(X_2,Y_93,X_2) ),
inference(resolution,[status(thm)],[c_4,c_72]) ).
tff(c_65918,plain,
! [V2_1019,X_1020,X_1021] :
( ( additive_identity = V2_1019 )
| ~ product(X_1020,additive_identity,V2_1019)
| ~ product(X_1020,X_1021,multiply(X_1020,X_1021)) ),
inference(resolution,[status(thm)],[c_65569,c_90]) ).
tff(c_66057,plain,
! [V2_1022,X_1023] :
( ( additive_identity = V2_1022 )
| ~ product(X_1023,additive_identity,V2_1022) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_65918]) ).
tff(c_66098,plain,
! [X_1024] : ( multiply(X_1024,additive_identity) = additive_identity ),
inference(resolution,[status(thm)],[c_6,c_66057]) ).
tff(c_66119,plain,
! [X_1024] : product(X_1024,additive_identity,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_66098,c_6]) ).
tff(c_40,plain,
~ product(a,additive_identity,additive_identity),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_66131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66119,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n002.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 18:19:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 17.77/7.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.77/7.84
% 17.77/7.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.89/7.86
% 17.89/7.86 Inference rules
% 17.89/7.86 ----------------------
% 17.89/7.86 #Ref : 0
% 17.89/7.86 #Sup : 16586
% 17.89/7.86 #Fact : 0
% 17.89/7.86 #Define : 0
% 17.89/7.86 #Split : 0
% 17.89/7.86 #Chain : 0
% 17.89/7.86 #Close : 0
% 17.89/7.86
% 17.89/7.86 Ordering : KBO
% 17.89/7.86
% 17.89/7.86 Simplification rules
% 17.89/7.86 ----------------------
% 17.89/7.86 #Subsume : 4232
% 17.89/7.86 #Demod : 9115
% 17.89/7.86 #Tautology : 3664
% 17.89/7.86 #SimpNegUnit : 0
% 17.89/7.86 #BackRed : 13
% 17.89/7.86
% 17.89/7.86 #Partial instantiations: 0
% 17.89/7.86 #Strategies tried : 1
% 17.89/7.86
% 17.89/7.86 Timing (in seconds)
% 17.89/7.86 ----------------------
% 17.89/7.87 Preprocessing : 0.46
% 17.89/7.87 Parsing : 0.25
% 17.89/7.87 CNF conversion : 0.03
% 17.89/7.87 Main loop : 6.33
% 17.89/7.87 Inferencing : 1.09
% 17.89/7.87 Reduction : 2.00
% 17.89/7.87 Demodulation : 1.66
% 17.89/7.87 BG Simplification : 0.10
% 17.89/7.87 Subsumption : 2.63
% 17.89/7.87 Abstraction : 0.13
% 17.89/7.87 MUC search : 0.00
% 17.89/7.87 Cooper : 0.00
% 17.89/7.87 Total : 6.84
% 17.89/7.87 Index Insertion : 0.00
% 17.89/7.87 Index Deletion : 0.00
% 17.89/7.87 Index Matching : 0.00
% 17.89/7.87 BG Taut test : 0.00
%------------------------------------------------------------------------------