TSTP Solution File: KLE076+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE076+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 : n005.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 10:44:48 EDT 2023
% Result : Theorem 2.65s 1.59s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 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_120,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
tff(f_75,axiom,
! [A] : ( multiplication(A,zero) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
tff(f_127,negated_conjecture,
~ ! [X0] : ( domain(multiplication(X0,domain(zero))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_34,plain,
domain(zero) = zero,
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_20,plain,
! [A_19] : ( multiplication(A_19,zero) = zero ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_38,plain,
domain(multiplication('#skF_1',domain(zero))) != zero,
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_39,plain,
domain(multiplication('#skF_1',zero)) != zero,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_38]) ).
tff(c_40,plain,
domain(zero) != zero,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_39]) ).
tff(c_42,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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 : n005.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 23:19:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 2.65/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.65/1.60
% 2.65/1.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.72/1.63
% 2.72/1.63 Inference rules
% 2.72/1.63 ----------------------
% 2.72/1.63 #Ref : 0
% 2.72/1.63 #Sup : 0
% 2.72/1.63 #Fact : 0
% 2.72/1.63 #Define : 0
% 2.72/1.63 #Split : 0
% 2.72/1.63 #Chain : 0
% 2.72/1.63 #Close : 0
% 2.72/1.63
% 2.72/1.63 Ordering : KBO
% 2.72/1.63
% 2.72/1.63 Simplification rules
% 2.72/1.63 ----------------------
% 2.76/1.63 #Subsume : 18
% 2.76/1.63 #Demod : 3
% 2.76/1.63 #Tautology : 0
% 2.76/1.63 #SimpNegUnit : 0
% 2.76/1.63 #BackRed : 0
% 2.76/1.63
% 2.76/1.63 #Partial instantiations: 0
% 2.76/1.63 #Strategies tried : 1
% 2.76/1.63
% 2.76/1.63 Timing (in seconds)
% 2.76/1.63 ----------------------
% 2.76/1.63 Preprocessing : 0.47
% 2.76/1.63 Parsing : 0.26
% 2.76/1.63 CNF conversion : 0.03
% 2.76/1.63 Main loop : 0.07
% 2.76/1.63 Inferencing : 0.00
% 2.76/1.63 Reduction : 0.03
% 2.76/1.63 Demodulation : 0.02
% 2.76/1.63 BG Simplification : 0.01
% 2.76/1.63 Subsumption : 0.03
% 2.76/1.63 Abstraction : 0.01
% 2.76/1.63 MUC search : 0.00
% 2.76/1.63 Cooper : 0.00
% 2.76/1.63 Total : 0.59
% 2.76/1.63 Index Insertion : 0.00
% 2.76/1.63 Index Deletion : 0.00
% 2.76/1.63 Index Matching : 0.00
% 2.76/1.63 BG Taut test : 0.00
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