TSTP Solution File: SYN970+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN970+1 : TPTP v8.1.2. Released v3.1.0.
% 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 11:17:01 EDT 2023
% Result : Theorem 2.26s 1.53s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 (; 6 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > p > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p,type,
p: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(r,type,
r: $i > $o ).
tff(f_34,negated_conjecture,
~ ! [A,B] :
? [X,Y] :
( ( p(X)
=> r(Y) )
=> ( p(A)
=> r(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(c_2,plain,
! [Y_4,X_3] :
( r(Y_4)
| ~ p(X_3) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_7,plain,
! [X_3] : ~ p(X_3),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_4,plain,
p('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_9,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7,c_4]) ).
tff(c_10,plain,
! [Y_4] : r(Y_4),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_6,plain,
~ r('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_13,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN970+1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 17:24:14 EDT 2023
% 0.16/0.36 % CPUTime :
% 2.26/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.26/1.54
% 2.26/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.26/1.58
% 2.26/1.58 Inference rules
% 2.26/1.58 ----------------------
% 2.26/1.58 #Ref : 0
% 2.26/1.58 #Sup : 0
% 2.26/1.58 #Fact : 0
% 2.26/1.58 #Define : 0
% 2.26/1.58 #Split : 1
% 2.26/1.58 #Chain : 0
% 2.26/1.58 #Close : 0
% 2.26/1.58
% 2.26/1.58 Ordering : KBO
% 2.26/1.58
% 2.26/1.58 Simplification rules
% 2.26/1.58 ----------------------
% 2.26/1.58 #Subsume : 0
% 2.26/1.58 #Demod : 1
% 2.26/1.58 #Tautology : 0
% 2.26/1.58 #SimpNegUnit : 1
% 2.26/1.58 #BackRed : 2
% 2.26/1.58
% 2.26/1.58 #Partial instantiations: 0
% 2.26/1.58 #Strategies tried : 1
% 2.26/1.58
% 2.26/1.58 Timing (in seconds)
% 2.26/1.58 ----------------------
% 2.26/1.58 Preprocessing : 0.38
% 2.26/1.58 Parsing : 0.21
% 2.26/1.58 CNF conversion : 0.02
% 2.26/1.58 Main loop : 0.10
% 2.26/1.58 Inferencing : 0.03
% 2.26/1.58 Reduction : 0.02
% 2.26/1.58 Demodulation : 0.02
% 2.26/1.58 BG Simplification : 0.01
% 2.26/1.58 Subsumption : 0.02
% 2.26/1.58 Abstraction : 0.00
% 2.26/1.58 MUC search : 0.00
% 2.26/1.58 Cooper : 0.00
% 2.26/1.58 Total : 0.53
% 2.26/1.58 Index Insertion : 0.00
% 2.26/1.58 Index Deletion : 0.00
% 2.26/1.58 Index Matching : 0.00
% 2.26/1.58 BG Taut test : 0.00
%------------------------------------------------------------------------------