TSTP Solution File: COL016-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COL016-1 : 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 : n021.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 10:34:49 EDT 2023
% Result : Unsatisfiable 2.00s 1.60s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 7 (; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ apply > #nlpp > m > l > combinator > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(m,type,
m: $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(l,type,
l: $i ).
tff(combinator,type,
combinator: $i ).
tff(b,type,
b: $i ).
tff(f_30,axiom,
! [X,Y] : ( apply(apply(l,X),Y) = apply(X,apply(Y,Y)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [Y] : ( Y != apply(combinator,Y) ),
file(unknown,unknown) ).
tff(c_27,plain,
! [X_10,Y_11] : ( apply(apply(l,X_10),Y_11) = apply(X_10,apply(Y_11,Y_11)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_8,plain,
! [Y_7] : ( apply(combinator,Y_7) != Y_7 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_49,plain,
! [Y_11] : ( apply(apply(l,combinator),Y_11) != apply(Y_11,Y_11) ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_8]) ).
tff(c_78,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 18:14:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.00/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.00/1.60
% 2.00/1.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.48/1.62
% 2.48/1.62 Inference rules
% 2.48/1.62 ----------------------
% 2.48/1.62 #Ref : 1
% 2.48/1.62 #Sup : 16
% 2.48/1.62 #Fact : 0
% 2.48/1.62 #Define : 0
% 2.48/1.62 #Split : 0
% 2.48/1.62 #Chain : 0
% 2.48/1.62 #Close : 0
% 2.48/1.62
% 2.48/1.62 Ordering : KBO
% 2.48/1.62
% 2.48/1.62 Simplification rules
% 2.48/1.62 ----------------------
% 2.48/1.62 #Subsume : 0
% 2.48/1.62 #Demod : 0
% 2.48/1.62 #Tautology : 8
% 2.48/1.62 #SimpNegUnit : 0
% 2.48/1.62 #BackRed : 0
% 2.48/1.62
% 2.48/1.62 #Partial instantiations: 0
% 2.48/1.62 #Strategies tried : 1
% 2.48/1.62
% 2.48/1.62 Timing (in seconds)
% 2.48/1.62 ----------------------
% 2.48/1.62 Preprocessing : 0.39
% 2.48/1.62 Parsing : 0.21
% 2.48/1.62 CNF conversion : 0.02
% 2.48/1.62 Main loop : 0.18
% 2.48/1.62 Inferencing : 0.09
% 2.48/1.62 Reduction : 0.05
% 2.48/1.62 Demodulation : 0.04
% 2.48/1.62 BG Simplification : 0.01
% 2.48/1.63 Subsumption : 0.03
% 2.48/1.63 Abstraction : 0.01
% 2.48/1.63 MUC search : 0.00
% 2.48/1.63 Cooper : 0.00
% 2.48/1.63 Total : 0.61
% 2.48/1.63 Index Insertion : 0.00
% 2.48/1.63 Index Deletion : 0.00
% 2.48/1.63 Index Matching : 0.00
% 2.48/1.63 BG Taut test : 0.00
%------------------------------------------------------------------------------