%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : DAT058_1 : TPTP v9.0.0. Released v5.5.0.
% 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 : n025.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 06:08:01 PM UTC 2025
% Result : Theorem 3.68s 1.96s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 9 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 14 ( 0 atm; 0 fun; 0 num; 14 var)
% Number of types : 3 ( 2 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
%$ put > get > #nlpp > none > mkarray > #skF_1
%Foreground sorts:
tff(data,type,
data: $tType ).
tff(array,type,
array: $tType ).
%Background operators:
tff('#skF_2',type,
'#skF_2': $int ).
%Foreground operators:
tff(get,type,
get: ( array * $int ) > data ).
tff('#skF_1',type,
'#skF_1': ( array * array ) > $int ).
tff(mkarray,type,
mkarray: array ).
tff(put,type,
put: ( array * $int * data ) > array ).
tff(none,type,
none: data ).
tff(f_60,axiom,
! [Ar: array,Ma: $int,D: data] : ( get(put(Ar,Ma,D),Ma) = D ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT004_0.ax',ax_18) ).
tff(f_58,axiom,
! [Ma: $int] : ( get(mkarray,Ma) = none ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT004_0.ax',ax_17) ).
tff(f_65,axiom,
! [Na: $int,D: data,Ar: array,Ma: $int] :
( ( Ma != Na )
=> ( get(put(Ar,Na,D),Ma) = get(Ar,Ma) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT004_0.ax',ax_19) ).
tff(f_72,axiom,
! [Ar: array,Ar0: array] :
( ( Ar = Ar0 )
<=> ! [Na: $int] : ( get(Ar,Na) = get(Ar0,Na) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT004_0.ax',ax_21) ).
tff(f_77,negated_conjecture,
~ ! [Ma: $int] : ( put(mkarray,Ma,none) = mkarray ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_2) ).
tff(c_305,plain,
! [Ar_70: array,M_71: $int,D_72: data] : ( get(put(Ar_70,M_71,D_72),M_71) = D_72 ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_306,plain,
! [M_73: $int] : ( get(mkarray,M_73) = none ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_304,plain,
! [Ar_66: array,N_67: $int,D_68: data,M_69: $int] :
( ( get(put(Ar_66,N_67,D_68),M_69) = get(Ar_66,M_69) )
| ( N_67 = M_69 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_375,plain,
! [Ar_87: array,Ar0_88: array] :
( ( Ar_87 = Ar0_88 )
| ( get(Ar_87,'#skF_1'(Ar_87,Ar0_88)) != get(Ar0_88,'#skF_1'(Ar_87,Ar0_88)) ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_408,plain,
! [Ar_90: array] :
( ( mkarray = Ar_90 )
| ( get(Ar_90,'#skF_1'(Ar_90,mkarray)) != none ) ),
inference(superposition,[status(thm),theory(equality)],[c_306,c_375]) ).
tff(c_531,plain,
! [Ar_96: array,N_97: $int,D_98: data] :
( ( put(Ar_96,N_97,D_98) = mkarray )
| ( get(Ar_96,'#skF_1'(put(Ar_96,N_97,D_98),mkarray)) != none )
| ( '#skF_1'(put(Ar_96,N_97,D_98),mkarray) = N_97 ) ),
inference(superposition,[status(thm),theory(equality)],[c_304,c_408]) ).
tff(c_558,plain,
! [N_99: $int,D_100: data] :
( ( put(mkarray,N_99,D_100) = mkarray )
| ( '#skF_1'(put(mkarray,N_99,D_100),mkarray) = N_99 ) ),
inference(superposition,[status(thm),theory(equality)],[c_306,c_531]) ).
tff(c_395,plain,
! [Ar_87: array] :
( ( mkarray = Ar_87 )
| ( get(Ar_87,'#skF_1'(Ar_87,mkarray)) != none ) ),
inference(superposition,[status(thm),theory(equality)],[c_306,c_375]) ).
tff(c_567,plain,
! [N_99: $int,D_100: data] :
( ( put(mkarray,N_99,D_100) = mkarray )
| ( get(put(mkarray,N_99,D_100),N_99) != none )
| ( put(mkarray,N_99,D_100) = mkarray ) ),
inference(superposition,[status(thm),theory(equality)],[c_558,c_395]) ).
tff(c_584,plain,
! [N_99: $int] : ( put(mkarray,N_99,none) = mkarray ),
inference(demodulation,[status(thm),theory(equality)],[c_305,c_567]) ).
tff(c_301,plain,
put(mkarray,'#skF_2',none) != mkarray,
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_587,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_584,c_301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT058_1 : TPTP v9.0.0. Released v5.5.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 18:17:05 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.28/1.79
% 3.28/1.80 ***********************************************************************
% 3.28/1.80 After 0.2 sec it's time to try something different, got 149.6 sec left
% 3.28/1.80 ***********************************************************************
% 3.45/1.85
% 3.45/1.85 ***********************************************************************
% 3.45/1.85 After 0.2 sec it's time to try something different, got 299.2 sec left
% 3.45/1.85 ***********************************************************************
% 3.68/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/1.96
% 3.68/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------