TSTP Solution File: KLE067+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE067+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 : n015.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 3.22s 1.82s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 20 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > zero > one > #skF_2 > #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_2',type,
'#skF_2': $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_66,axiom,
! [A] : ( multiplication(one,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
tff(f_116,axiom,
! [X0,X1] : ( domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
tff(f_121,axiom,
! [X0,X1] : ( domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
tff(f_126,negated_conjecture,
~ ! [X0,X1] : ( domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_14,plain,
! [A_12] : ( multiplication(one,A_12) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_339,plain,
! [X0_46,X1_47] : ( domain(multiplication(X0_46,domain(X1_47))) = domain(multiplication(X0_46,X1_47)) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_365,plain,
! [X1_47] : ( domain(multiplication(one,X1_47)) = domain(domain(X1_47)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_339]) ).
tff(c_381,plain,
! [X1_47] : ( domain(domain(X1_47)) = domain(X1_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_365]) ).
tff(c_36,plain,
! [X0_27,X1_28] : ( addition(domain(X0_27),domain(X1_28)) = domain(addition(X0_27,X1_28)) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_38,plain,
domain(addition(domain('#skF_1'),domain('#skF_2'))) != addition(domain('#skF_1'),domain('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_39,plain,
domain(domain(addition('#skF_1','#skF_2'))) != domain(addition('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_36,c_38]) ).
tff(c_386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_381,c_39]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE067+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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:45:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.22/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/1.83
% 3.22/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.22/1.85
% 3.22/1.85 Inference rules
% 3.22/1.85 ----------------------
% 3.22/1.85 #Ref : 0
% 3.22/1.85 #Sup : 84
% 3.22/1.85 #Fact : 0
% 3.22/1.85 #Define : 0
% 3.22/1.85 #Split : 0
% 3.22/1.85 #Chain : 0
% 3.22/1.85 #Close : 0
% 3.22/1.85
% 3.22/1.85 Ordering : KBO
% 3.22/1.85
% 3.22/1.85 Simplification rules
% 3.22/1.85 ----------------------
% 3.22/1.85 #Subsume : 0
% 3.22/1.85 #Demod : 39
% 3.22/1.85 #Tautology : 73
% 3.22/1.85 #SimpNegUnit : 0
% 3.22/1.85 #BackRed : 1
% 3.22/1.85
% 3.22/1.85 #Partial instantiations: 0
% 3.22/1.85 #Strategies tried : 1
% 3.22/1.85
% 3.22/1.85 Timing (in seconds)
% 3.22/1.85 ----------------------
% 3.22/1.85 Preprocessing : 0.49
% 3.22/1.85 Parsing : 0.27
% 3.22/1.85 CNF conversion : 0.03
% 3.22/1.85 Main loop : 0.29
% 3.22/1.85 Inferencing : 0.10
% 3.22/1.85 Reduction : 0.11
% 3.22/1.85 Demodulation : 0.09
% 3.22/1.85 BG Simplification : 0.02
% 3.22/1.85 Subsumption : 0.05
% 3.22/1.86 Abstraction : 0.01
% 3.22/1.86 MUC search : 0.00
% 3.22/1.86 Cooper : 0.00
% 3.22/1.86 Total : 0.82
% 3.22/1.86 Index Insertion : 0.00
% 3.22/1.86 Index Deletion : 0.00
% 3.22/1.86 Index Matching : 0.00
% 3.22/1.86 BG Taut test : 0.00
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