TSTP Solution File: HEN002-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN002-1 : 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 : n020.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 10:42:11 EDT 2023
% Result : Unsatisfiable 2.69s 1.71s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 (; 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ quotient > less_equal > divide > #nlpp > zero > x > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(quotient,type,
quotient: ( $i * $i * $i ) > $o ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_80,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file(unknown,unknown) ).
tff(f_108,axiom,
~ quotient(zero,x,zero),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_16] : less_equal(zero,X_16),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_31,plain,
! [X_37,Y_38] :
( quotient(X_37,Y_38,zero)
| ~ less_equal(X_37,Y_38) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_20,plain,
~ quotient(zero,x,zero),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_40,plain,
~ less_equal(zero,x),
inference(resolution,[status(thm)],[c_31,c_20]) ).
tff(c_47,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % 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
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 13:08:07 EDT 2023
% 0.16/0.37 % CPUTime :
% 2.69/1.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/1.71
% 2.69/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.84/1.74
% 2.84/1.74 Inference rules
% 2.84/1.74 ----------------------
% 2.84/1.74 #Ref : 0
% 2.84/1.74 #Sup : 4
% 2.84/1.74 #Fact : 0
% 2.84/1.74 #Define : 0
% 2.84/1.74 #Split : 0
% 2.84/1.74 #Chain : 0
% 2.84/1.74 #Close : 0
% 2.84/1.74
% 2.84/1.74 Ordering : KBO
% 2.84/1.74
% 2.84/1.74 Simplification rules
% 2.84/1.74 ----------------------
% 2.84/1.74 #Subsume : 0
% 2.84/1.74 #Demod : 2
% 2.84/1.74 #Tautology : 2
% 2.84/1.74 #SimpNegUnit : 0
% 2.84/1.74 #BackRed : 0
% 2.84/1.74
% 2.84/1.74 #Partial instantiations: 0
% 2.84/1.74 #Strategies tried : 1
% 2.84/1.74
% 2.84/1.74 Timing (in seconds)
% 2.84/1.74 ----------------------
% 2.84/1.74 Preprocessing : 0.43
% 2.84/1.74 Parsing : 0.24
% 2.84/1.74 CNF conversion : 0.02
% 2.84/1.74 Main loop : 0.16
% 2.84/1.74 Inferencing : 0.07
% 2.84/1.74 Reduction : 0.04
% 2.84/1.74 Demodulation : 0.03
% 2.84/1.74 BG Simplification : 0.01
% 2.84/1.74 Subsumption : 0.04
% 2.84/1.74 Abstraction : 0.01
% 2.84/1.74 MUC search : 0.00
% 2.84/1.74 Cooper : 0.00
% 2.84/1.74 Total : 0.63
% 2.84/1.74 Index Insertion : 0.00
% 2.84/1.74 Index Deletion : 0.00
% 2.84/1.74 Index Matching : 0.00
% 2.84/1.74 BG Taut test : 0.00
%------------------------------------------------------------------------------