TSTP Solution File: KLE051+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE051+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n014.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 10:44:46 EDT 2023
% Result : Theorem 2.31s 1.64s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 12 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > zero > one > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(domain,type,
domain: $i > $i ).
tff(multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(addition,type,
addition: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_58,axiom,
! [A] : ( addition(A,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
tff(f_125,negated_conjecture,
~ ! [X0] : ( addition(X0,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_8,plain,
! [A_7] : ( addition(A_7,A_7) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_38,plain,
addition('#skF_1','#skF_1') != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_40,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE051+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n014.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 23:20:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.31/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.83/1.64
% 2.83/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/1.67
% 2.88/1.67 Inference rules
% 2.88/1.67 ----------------------
% 2.88/1.67 #Ref : 0
% 2.88/1.67 #Sup : 0
% 2.88/1.67 #Fact : 0
% 2.88/1.67 #Define : 0
% 2.88/1.67 #Split : 0
% 2.88/1.67 #Chain : 0
% 2.88/1.67 #Close : 0
% 2.88/1.67
% 2.88/1.67 Ordering : KBO
% 2.88/1.67
% 2.88/1.67 Simplification rules
% 2.88/1.67 ----------------------
% 2.88/1.67 #Subsume : 18
% 2.88/1.67 #Demod : 1
% 2.88/1.67 #Tautology : 0
% 2.88/1.67 #SimpNegUnit : 0
% 2.88/1.67 #BackRed : 0
% 2.88/1.67
% 2.88/1.67 #Partial instantiations: 0
% 2.88/1.67 #Strategies tried : 1
% 2.88/1.67
% 2.88/1.67 Timing (in seconds)
% 2.88/1.67 ----------------------
% 2.88/1.68 Preprocessing : 0.51
% 2.88/1.68 Parsing : 0.28
% 2.88/1.68 CNF conversion : 0.03
% 2.88/1.68 Main loop : 0.09
% 2.88/1.68 Inferencing : 0.00
% 2.88/1.68 Reduction : 0.04
% 2.88/1.68 Demodulation : 0.03
% 2.88/1.68 BG Simplification : 0.01
% 2.88/1.68 Subsumption : 0.04
% 2.88/1.68 Abstraction : 0.01
% 2.88/1.68 MUC search : 0.00
% 2.88/1.68 Cooper : 0.00
% 2.88/1.68 Total : 0.65
% 2.88/1.68 Index Insertion : 0.00
% 2.88/1.68 Index Deletion : 0.00
% 2.88/1.68 Index Matching : 0.00
% 2.88/1.68 BG Taut test : 0.00
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