%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ITP019+2 : TPTP v9.0.0. Bugfixed v7.5.0.
% 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 : n032.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 06:52:10 PM UTC 2025
% Result : Theorem 4.85s 2.18s
% Output : CNFRefutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 4 |; 0 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ mem > p > ne > ty_2Epair_2Eprod > k > arr > ap > #nlpp > i > c_2Emin_2E_3D > c_2Ebool_2E_21 > ty_2Erealax_2Ereal > ty_2Enum_2Enum > ind > c_2Enum_2E0 > c_2Emin_2E_3D_3D_3E > c_2Ecomplex_2Ecomplex__of__num > c_2Ecomplex_2Ecomplex__inv > c_2Ebool_2E_7E > c_2Ebool_2E_2F_5C > c_2Ebool_2ET > c_2Ebool_2EF > bool > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_2Enum_2E0,type,
c_2Enum_2E0: $i ).
tff(arr,type,
arr: ( $i * $i ) > $i ).
tff(ne,type,
ne: $i > $o ).
tff(c_2Ebool_2EF,type,
c_2Ebool_2EF: $i ).
tff(i,type,
i: $i > $i ).
tff(c_2Ebool_2E_21,type,
c_2Ebool_2E_21: $i > $i ).
tff(ty_2Epair_2Eprod,type,
ty_2Epair_2Eprod: ( $i * $i ) > $i ).
tff(bool,type,
bool: $i ).
tff(mem,type,
mem: ( $i * $i ) > $o ).
tff(ap,type,
ap: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(p,type,
p: $i > $o ).
tff(ind,type,
ind: $i ).
tff(c_2Emin_2E_3D_3D_3E,type,
c_2Emin_2E_3D_3D_3E: $i ).
tff(ty_2Enum_2Enum,type,
ty_2Enum_2Enum: $i ).
tff(c_2Ecomplex_2Ecomplex__of__num,type,
c_2Ecomplex_2Ecomplex__of__num: $i ).
tff(c_2Ebool_2E_7E,type,
c_2Ebool_2E_7E: $i ).
tff(c_2Ecomplex_2Ecomplex__inv,type,
c_2Ecomplex_2Ecomplex__inv: $i ).
tff(c_2Ebool_2ET,type,
c_2Ebool_2ET: $i ).
tff(k,type,
k: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(c_2Emin_2E_3D,type,
c_2Emin_2E_3D: $i > $i ).
tff(c_2Ebool_2E_2F_5C,type,
c_2Ebool_2E_2F_5C: $i ).
tff(ty_2Erealax_2Ereal,type,
ty_2Erealax_2Ereal: $i ).
tff(f_236,negated_conjecture,
~ ! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
=> ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(f_227,axiom,
! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
<=> ( V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
tff(c_98,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,'#skF_4'),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_100,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != '#skF_4',
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_103,plain,
ap(c_2Ecomplex_2Ecomplex__inv,'#skF_4') != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_98,c_100]) ).
tff(c_102,plain,
mem('#skF_4',ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_96,plain,
! [V0z_65] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = V0z_65 )
| ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,V0z_65) )
| ~ mem(V0z_65,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_1064,plain,
! [V0z_152] :
( ( ap(c_2Ecomplex_2Ecomplex__inv,'#skF_4') = V0z_152 )
| ( ap(c_2Ecomplex_2Ecomplex__inv,V0z_152) != ap(c_2Ecomplex_2Ecomplex__inv,'#skF_4') )
| ~ mem(V0z_152,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_98,c_96]) ).
tff(c_1094,plain,
ap(c_2Ecomplex_2Ecomplex__inv,'#skF_4') = '#skF_4',
inference(resolution,[status(thm)],[c_102,c_1064]) ).
tff(c_1111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103,c_1094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP019+2 : TPTP v9.0.0. Bugfixed v7.5.0.
% 0.00/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Apr 8 00:55:15 EDT 2025
% 0.10/0.29 % CPUTime :
% 4.85/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.85/2.19
% 4.85/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------