TSTP Solution File: SEU161+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n021.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 10:57:50 EDT 2023
% Result : Theorem 2.83s 1.77s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 (; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > set_union2 > #nlpp > singleton > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(f_41,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> ( set_union2(singleton(A),B) = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
tff(f_45,axiom,
! [A,B] :
( in(A,B)
=> ( set_union2(singleton(A),B) = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
tff(f_28,axiom,
! [A,B] : ( set_union2(A,B) = set_union2(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
tff(c_14,plain,
in('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_64,plain,
! [A_14,B_15] :
( ( set_union2(singleton(A_14),B_15) = B_15 )
| ~ in(A_14,B_15) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_2,plain,
! [B_2,A_1] : ( set_union2(B_2,A_1) = set_union2(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_97,plain,
! [B_16,A_17] :
( ( set_union2(B_16,singleton(A_17)) = B_16 )
| ~ in(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_2]) ).
tff(c_12,plain,
set_union2(singleton('#skF_1'),'#skF_2') != '#skF_2',
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_17,plain,
set_union2('#skF_2',singleton('#skF_1')) != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).
tff(c_113,plain,
~ in('#skF_1','#skF_2'),
inference(superposition,[status(thm),theory(equality)],[c_97,c_17]) ).
tff(c_141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.35 % Computer : n021.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 : Thu Aug 3 11:47:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.83/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.83/1.77
% 2.83/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.01/1.80
% 3.01/1.80 Inference rules
% 3.01/1.80 ----------------------
% 3.01/1.80 #Ref : 0
% 3.01/1.80 #Sup : 30
% 3.01/1.80 #Fact : 0
% 3.01/1.80 #Define : 0
% 3.01/1.80 #Split : 0
% 3.01/1.80 #Chain : 0
% 3.01/1.80 #Close : 0
% 3.01/1.80
% 3.01/1.80 Ordering : KBO
% 3.01/1.80
% 3.01/1.80 Simplification rules
% 3.01/1.80 ----------------------
% 3.01/1.80 #Subsume : 2
% 3.01/1.80 #Demod : 2
% 3.01/1.80 #Tautology : 17
% 3.01/1.80 #SimpNegUnit : 0
% 3.01/1.80 #BackRed : 0
% 3.01/1.80
% 3.01/1.80 #Partial instantiations: 0
% 3.01/1.80 #Strategies tried : 1
% 3.01/1.80
% 3.01/1.80 Timing (in seconds)
% 3.01/1.80 ----------------------
% 3.01/1.81 Preprocessing : 0.42
% 3.01/1.81 Parsing : 0.24
% 3.01/1.81 CNF conversion : 0.02
% 3.01/1.81 Main loop : 0.18
% 3.01/1.81 Inferencing : 0.08
% 3.01/1.81 Reduction : 0.04
% 3.01/1.81 Demodulation : 0.03
% 3.01/1.81 BG Simplification : 0.01
% 3.01/1.81 Subsumption : 0.04
% 3.01/1.81 Abstraction : 0.01
% 3.01/1.81 MUC search : 0.00
% 3.01/1.81 Cooper : 0.00
% 3.01/1.81 Total : 0.66
% 3.01/1.81 Index Insertion : 0.00
% 3.01/1.81 Index Deletion : 0.00
% 3.01/1.81 Index Matching : 0.00
% 3.01/1.81 BG Taut test : 0.00
%------------------------------------------------------------------------------