TSTP Solution File: SYN402+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN402+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n009.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 11:10:46 EDT 2023
% Result : Theorem 2.36s 1.62s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 3 unt; 2 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 (; 2 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i ).
tff(f,type,
f: $i > $o ).
tff(f_31,negated_conjecture,
~ ! [X] :
( f(X)
=> ? [Y] : f(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish230) ).
tff(c_2,plain,
! [Y_2] : ~ f(Y_2),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_4,plain,
f('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_5,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN402+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % 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
% 0.16/0.35 % Computer : n009.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 17:29:23 EDT 2023
% 0.16/0.36 % CPUTime :
% 2.36/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.36/1.62
% 2.36/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.49/1.67
% 2.49/1.67 Inference rules
% 2.49/1.67 ----------------------
% 2.49/1.67 #Ref : 0
% 2.49/1.67 #Sup : 0
% 2.49/1.67 #Fact : 0
% 2.49/1.67 #Define : 0
% 2.49/1.67 #Split : 0
% 2.49/1.67 #Chain : 0
% 2.49/1.67 #Close : 0
% 2.49/1.67
% 2.49/1.67 Ordering : KBO
% 2.49/1.67
% 2.49/1.67 Simplification rules
% 2.49/1.67 ----------------------
% 2.49/1.67 #Subsume : 1
% 2.49/1.67 #Demod : 0
% 2.49/1.67 #Tautology : 0
% 2.49/1.67 #SimpNegUnit : 1
% 2.49/1.67 #BackRed : 0
% 2.49/1.67
% 2.49/1.67 #Partial instantiations: 0
% 2.49/1.67 #Strategies tried : 1
% 2.49/1.67
% 2.49/1.67 Timing (in seconds)
% 2.49/1.67 ----------------------
% 2.49/1.67 Preprocessing : 0.44
% 2.49/1.67 Parsing : 0.21
% 2.49/1.67 CNF conversion : 0.02
% 2.49/1.67 Main loop : 0.07
% 2.49/1.67 Inferencing : 0.00
% 2.49/1.67 Reduction : 0.03
% 2.49/1.67 Demodulation : 0.02
% 2.49/1.67 BG Simplification : 0.02
% 2.49/1.67 Subsumption : 0.03
% 2.49/1.67 Abstraction : 0.01
% 2.49/1.67 MUC search : 0.00
% 2.49/1.67 Cooper : 0.00
% 2.49/1.67 Total : 0.59
% 2.49/1.67 Index Insertion : 0.00
% 2.49/1.67 Index Deletion : 0.00
% 2.49/1.67 Index Matching : 0.00
% 2.49/1.67 BG Taut test : 0.00
%------------------------------------------------------------------------------