TSTP Solution File: ARI621_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI621_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n028.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 10:34:08 EDT 2023
% Result : Theorem 3.14s 1.88s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 40 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 7 ~; 16 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 65 ( 1 atm; 8 fun; 51 num; 5 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 5 (; 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
%$ pow2 > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
tff('#skE_1',type,
'#skE_1': $int ).
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $int > $int ).
tff(pow2,type,
pow2: $int > $o ).
tff(f_42,negated_conjecture,
~ ( ! [Xa: $int] :
( pow2(Xa)
<=> ( ( Xa = 1 )
| ( $lesseq(2,Xa)
& ? [Ya: $int] :
( ( $product(2,Ya) = Xa )
& pow2(Ya) ) ) ) )
=> ~ pow2(12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10) ).
tff(c_20,plain,
pow2(12),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_37,plain,
! [X_9a: $int] :
( ( $product(2,'#skF_1'(X_9a)) = X_9a )
| ~ pow2(X_9a)
| ( X_9a = 1 ) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_44,plain,
( ( $product(2,'#skF_1'(12)) = 12 )
| ( 12 = 1 ) ),
inference(resolution,[status(thm)],[c_20,c_37]) ).
tff(c_46,plain,
'#skF_1'(12) = 6,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_44]) ).
tff(c_19,plain,
! [X_1a: $int] :
( pow2('#skF_1'(X_1a))
| ~ pow2(X_1a)
| ( X_1a = 1 ) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_205,plain,
( pow2(6)
| ~ pow2(12)
| ( 12 = 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_19]) ).
tff(c_210,plain,
( pow2(6)
| ( 12 = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_205]) ).
tff(c_212,plain,
pow2(6),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_210]) ).
tff(c_18,plain,
! [X_1a: $int] :
( ( $product(2,'#skF_1'(X_1a)) = X_1a )
| ~ pow2(X_1a)
| ( X_1a = 1 ) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_226,plain,
( ( $product(2,'#skF_1'(6)) = 6 )
| ( 6 = 1 ) ),
inference(resolution,[status(thm)],[c_212,c_18]) ).
tff(c_228,plain,
'#skF_1'(6) = 3,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_226]) ).
tff(c_236,plain,
( pow2(3)
| ~ pow2(6)
| ( 6 = 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_228,c_19]) ).
tff(c_241,plain,
( pow2(3)
| ( 6 = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_236]) ).
tff(c_243,plain,
pow2(3),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_241]) ).
tff(c_270,plain,
( ( $product(2,'#skF_1'(3)) = 3 )
| ( 3 = 1 ) ),
inference(resolution,[status(thm)],[c_243,c_18]) ).
tff(c_272,plain,
$product(2,'#skF_1'(3)) = 3,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_270]) ).
tff(c_367,plain,
'#skF_1'(3) = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_272]) ).
tff(c_371,plain,
$product(2,'#skE_1') = 3,
inference(demodulation,[status(thm),theory(equality)],[c_367,c_272]) ).
tff(c_422,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ARI621_1 : TPTP v8.1.2. Released v5.1.0.
% 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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:26:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.14/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.88
% 3.39/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.41/1.91
% 3.41/1.91 Inference rules
% 3.41/1.91 ----------------------
% 3.41/1.91 #Ref : 0
% 3.41/1.91 #Sup : 75
% 3.41/1.91 #Fact : 0
% 3.41/1.91 #Define : 1
% 3.41/1.91 #Split : 0
% 3.41/1.91 #Chain : 0
% 3.41/1.91 #Close : 1
% 3.41/1.91
% 3.41/1.91 Ordering : LPO
% 3.41/1.91
% 3.41/1.91 Simplification rules
% 3.41/1.91 ----------------------
% 3.41/1.91 #Subsume : 0
% 3.41/1.91 #Demod : 22
% 3.41/1.91 #Tautology : 46
% 3.41/1.91 #SimpNegUnit : 0
% 3.41/1.91 #BackRed : 0
% 3.41/1.91
% 3.41/1.91 #Partial instantiations: 0
% 3.41/1.91 #Strategies tried : 1
% 3.41/1.91
% 3.41/1.91 Timing (in seconds)
% 3.41/1.91 ----------------------
% 3.46/1.91 Preprocessing : 0.49
% 3.46/1.91 Parsing : 0.26
% 3.46/1.91 CNF conversion : 0.03
% 3.46/1.91 Main loop : 0.35
% 3.46/1.91 Inferencing : 0.12
% 3.46/1.91 Reduction : 0.08
% 3.46/1.91 Demodulation : 0.06
% 3.46/1.91 BG Simplification : 0.05
% 3.46/1.91 Subsumption : 0.07
% 3.46/1.91 Abstraction : 0.01
% 3.46/1.91 MUC search : 0.00
% 3.46/1.91 Cooper : 0.02
% 3.46/1.91 Total : 0.88
% 3.46/1.91 Index Insertion : 0.00
% 3.46/1.91 Index Deletion : 0.00
% 3.46/1.91 Index Matching : 0.00
% 3.46/1.91 BG Taut test : 0.00
%------------------------------------------------------------------------------