%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : DAT020_1 : TPTP v9.0.0. Released v5.0.0.
% 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 : n009.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 : Wed Apr 9 06:07:55 PM UTC 2025
% Result : Theorem 2.85s 1.65s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 35 ( 0 atm; 0 fun; 27 num; 8 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > remove > add > #nlpp > empty
%Foreground sorts:
tff(collection,type,
collection: $tType ).
%Background operators:
%Foreground operators:
tff(empty,type,
empty: collection ).
tff(in,type,
in: ( $int * collection ) > $o ).
tff(remove,type,
remove: ( $int * collection ) > collection ).
tff(add,type,
add: ( $int * collection ) > collection ).
tff(f_60,axiom,
! [Ua: $int] : ~ in(Ua,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax1) ).
tff(f_83,negated_conjecture,
~ ~ in(4,add(1,add(3,add(5,empty)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_71,axiom,
! [Za: $int,X1: collection,X2a: $int] :
( ( in(Za,X1)
| ( Za = X2a ) )
<=> in(Za,add(X2a,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax4) ).
tff(c_28,plain,
! [U_1a: $int] : ~ in(U_1a,empty),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19,plain,
in(4,add(1,add(3,add(5,empty)))),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_48,plain,
! [Z_26a: $int,X1_27: collection,X2_28a: $int] :
( in(Z_26a,X1_27)
| ~ in(Z_26a,add(X2_28a,X1_27))
| ( Z_26a = X2_28a ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_58,plain,
( in(4,add(3,add(5,empty)))
| ( 4 = 1 ) ),
inference(resolution,[status(thm)],[c_19,c_48]) ).
tff(c_60,plain,
in(4,add(3,add(5,empty))),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_58]) ).
tff(c_25,plain,
! [Z_6a: $int,X1_7: collection,X2_8a: $int] :
( in(Z_6a,X1_7)
| ~ in(Z_6a,add(X2_8a,X1_7))
| ( Z_6a = X2_8a ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_69,plain,
( in(4,add(5,empty))
| ( 4 = 3 ) ),
inference(resolution,[status(thm)],[c_60,c_25]) ).
tff(c_71,plain,
in(4,add(5,empty)),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_69]) ).
tff(c_74,plain,
( in(4,empty)
| ( 5 = 4 ) ),
inference(resolution,[status(thm)],[c_71,c_25]) ).
tff(c_77,plain,
5 = 4,
inference(negUnitSimplification,[status(thm)],[c_28,c_74]) ).
tff(c_80,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT020_1 : TPTP v9.0.0. Released v5.0.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 18:15:26 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.85/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.85/1.65
% 2.85/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------