TSTP Solution File: SYN338+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN338+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/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 : n013.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 11:10:30 EDT 2023
% Result : Theorem 2.18s 1.54s
% Output : CNFRefutation 2.37s
% 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 : 6 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 6 (; 4 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_33,negated_conjecture,
~ ? [X] :
! [Y] :
? [Z] :
( big_f(X,Y)
=> ( big_f(Z,X)
=> big_f(Y,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_3) ).
tff(c_4,plain,
! [Z_6,X_1] : big_f(Z_6,X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [X_1] : ~ big_f('#skF_1'(X_1),'#skF_1'(X_1)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_8,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN338+1 : TPTP v8.1.2. Released v2.0.0.
% 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
% 0.17/0.34 % Computer : n013.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 3 17:12:18 EDT 2023
% 0.17/0.34 % CPUTime :
% 2.18/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.18/1.54
% 2.18/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.37/1.58
% 2.37/1.58 Inference rules
% 2.37/1.58 ----------------------
% 2.37/1.58 #Ref : 0
% 2.37/1.58 #Sup : 0
% 2.37/1.58 #Fact : 0
% 2.37/1.58 #Define : 0
% 2.37/1.58 #Split : 0
% 2.37/1.58 #Chain : 0
% 2.37/1.58 #Close : 0
% 2.37/1.58
% 2.37/1.58 Ordering : KBO
% 2.37/1.58
% 2.37/1.58 Simplification rules
% 2.37/1.58 ----------------------
% 2.37/1.58 #Subsume : 2
% 2.37/1.58 #Demod : 1
% 2.37/1.58 #Tautology : 0
% 2.37/1.58 #SimpNegUnit : 0
% 2.37/1.58 #BackRed : 0
% 2.37/1.58
% 2.37/1.58 #Partial instantiations: 0
% 2.37/1.58 #Strategies tried : 1
% 2.37/1.58
% 2.37/1.58 Timing (in seconds)
% 2.37/1.58 ----------------------
% 2.37/1.58 Preprocessing : 0.38
% 2.37/1.58 Parsing : 0.21
% 2.37/1.58 CNF conversion : 0.03
% 2.37/1.59 Main loop : 0.04
% 2.37/1.59 Inferencing : 0.00
% 2.37/1.59 Reduction : 0.02
% 2.37/1.59 Demodulation : 0.02
% 2.37/1.59 BG Simplification : 0.01
% 2.37/1.59 Subsumption : 0.02
% 2.37/1.59 Abstraction : 0.00
% 2.37/1.59 MUC search : 0.00
% 2.37/1.59 Cooper : 0.00
% 2.37/1.59 Total : 0.48
% 2.37/1.59 Index Insertion : 0.00
% 2.37/1.59 Index Deletion : 0.00
% 2.37/1.59 Index Matching : 0.00
% 2.37/1.59 BG Taut test : 0.00
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