TSTP Solution File: SYN327+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN327+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 : n017.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 11:10:27 EDT 2023
% Result : Theorem 2.65s 1.70s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 6 (; 5 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #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 ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_42,negated_conjecture,
~ ! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Z)
=> big_f(X,Y) )
& ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Y,X)
& big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_2) ).
tff(c_2,plain,
! [Y_4] : big_f(Y_4,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_4,plain,
! [Y_4] :
( ~ big_f('#skF_1',Y_4)
| ~ big_f('#skF_2'(Y_4),Y_4)
| ~ big_f(Y_4,'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_20,plain,
! [Y_7] :
( ~ big_f('#skF_1',Y_7)
| ~ big_f('#skF_2'(Y_7),Y_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4]) ).
tff(c_24,plain,
~ big_f('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2,c_20]) ).
tff(c_28,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN327+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
% 0.14/0.36 % Computer : n017.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 16:56:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 2.65/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.71
% 2.65/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.87/1.75
% 2.87/1.75 Inference rules
% 2.87/1.75 ----------------------
% 2.87/1.75 #Ref : 0
% 2.87/1.75 #Sup : 1
% 2.87/1.75 #Fact : 0
% 2.87/1.75 #Define : 0
% 2.87/1.75 #Split : 0
% 2.87/1.75 #Chain : 0
% 2.87/1.75 #Close : 0
% 2.87/1.75
% 2.87/1.75 Ordering : KBO
% 2.87/1.75
% 2.87/1.75 Simplification rules
% 2.87/1.75 ----------------------
% 2.87/1.75 #Subsume : 0
% 2.87/1.75 #Demod : 3
% 2.87/1.75 #Tautology : 2
% 2.87/1.75 #SimpNegUnit : 0
% 2.87/1.75 #BackRed : 0
% 2.87/1.75
% 2.87/1.75 #Partial instantiations: 0
% 2.87/1.75 #Strategies tried : 1
% 2.87/1.75
% 2.87/1.75 Timing (in seconds)
% 2.87/1.75 ----------------------
% 2.87/1.75 Preprocessing : 0.54
% 2.87/1.75 Parsing : 0.29
% 2.87/1.75 CNF conversion : 0.04
% 2.87/1.75 Main loop : 0.14
% 2.87/1.75 Inferencing : 0.06
% 2.87/1.75 Reduction : 0.03
% 2.87/1.75 Demodulation : 0.02
% 2.87/1.75 BG Simplification : 0.03
% 2.87/1.75 Subsumption : 0.04
% 2.87/1.75 Abstraction : 0.01
% 2.87/1.75 MUC search : 0.00
% 2.87/1.75 Cooper : 0.00
% 2.87/1.75 Total : 0.75
% 2.87/1.75 Index Insertion : 0.00
% 2.87/1.75 Index Deletion : 0.00
% 2.87/1.76 Index Matching : 0.00
% 2.87/1.76 BG Taut test : 0.00
%------------------------------------------------------------------------------