TSTP Solution File: SYN732+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n027.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 11:11:47 EDT 2023
% Result : Theorem 2.25s 1.52s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 6 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 9 (; 6 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(q,type,
q: ( $i * $i ) > $o ).
tff(p,type,
p: ( $i * $i ) > $o ).
tff(f_40,negated_conjecture,
~ ( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x3411) ).
tff(c_4,plain,
! [Z_5,W_8] : ~ p(Z_5,W_8),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_2,plain,
! [Z_5] : p('#skF_2'(Z_5),Z_5),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_10,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:33:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.25/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/1.52
% 2.25/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.25/1.55
% 2.25/1.55 Inference rules
% 2.25/1.55 ----------------------
% 2.25/1.55 #Ref : 0
% 2.25/1.55 #Sup : 0
% 2.25/1.55 #Fact : 0
% 2.25/1.55 #Define : 0
% 2.25/1.55 #Split : 0
% 2.25/1.55 #Chain : 0
% 2.25/1.55 #Close : 0
% 2.25/1.55
% 2.25/1.55 Ordering : KBO
% 2.25/1.55
% 2.25/1.55 Simplification rules
% 2.25/1.55 ----------------------
% 2.25/1.55 #Subsume : 3
% 2.25/1.55 #Demod : 0
% 2.25/1.55 #Tautology : 0
% 2.25/1.55 #SimpNegUnit : 2
% 2.25/1.55 #BackRed : 0
% 2.25/1.55
% 2.25/1.55 #Partial instantiations: 0
% 2.25/1.55 #Strategies tried : 1
% 2.25/1.55
% 2.25/1.55 Timing (in seconds)
% 2.25/1.55 ----------------------
% 2.25/1.56 Preprocessing : 0.39
% 2.25/1.56 Parsing : 0.21
% 2.25/1.56 CNF conversion : 0.02
% 2.25/1.56 Main loop : 0.04
% 2.25/1.56 Inferencing : 0.00
% 2.25/1.56 Reduction : 0.01
% 2.25/1.56 Demodulation : 0.00
% 2.25/1.56 BG Simplification : 0.01
% 2.25/1.56 Subsumption : 0.03
% 2.25/1.56 Abstraction : 0.00
% 2.25/1.56 MUC search : 0.00
% 2.25/1.56 Cooper : 0.00
% 2.25/1.56 Total : 0.48
% 2.25/1.56 Index Insertion : 0.00
% 2.25/1.56 Index Deletion : 0.00
% 2.25/1.56 Index Matching : 0.00
% 2.25/1.56 BG Taut test : 0.00
%------------------------------------------------------------------------------