%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ITP019+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n024.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 : 600s
% DateTime : Sat Jul 16 22:48:20 EDT 2022
% Result : Theorem 16.38s 16.56s
% Output : CNFRefutation 16.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 32 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 8 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X319] :
( mem(X319,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X319 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X319) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X319] :
( mem(X319,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X319) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> X319 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(ax_thm_2Earithmetic_2EALT__ZERO,axiom,
c_2Earithmetic_2EZERO = c_2Enum_2E0,
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP016+5.ax',ax_thm_2Earithmetic_2EALT__ZERO) ).
fof(c_0_3,negated_conjecture,
~ ! [X319] :
( mem(X319,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X319 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X319) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
fof(c_0_4,plain,
! [X71484] :
( ( ap(c_2Ecomplex_2Ecomplex__inv,X71484) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X71484 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X71484,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
& ( X71484 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ap(c_2Ecomplex_2Ecomplex__inv,X71484) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X71484,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
fof(c_0_5,negated_conjecture,
( mem(esk3949_0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& esk3949_0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,esk3949_0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( X1 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ap(c_2Ecomplex_2Ecomplex__inv,X1) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
c_2Earithmetic_2EZERO = c_2Enum_2E0,
inference(split_conjunct,[status(thm)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).
cnf(c_0_8,negated_conjecture,
esk3949_0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__inv,esk3949_0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( X1 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)
| ap(c_2Ecomplex_2Ecomplex__inv,X1) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
esk3949_0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
mem(esk3949_0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__inv,esk3949_0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO),
inference(rw,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_14,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_10,c_0_11,c_0_12,c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP019+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 01:56:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 16.38/16.56 # No SInE strategy applied
% 16.38/16.56 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 16.38/16.56 # and selection function SelectMaxLComplexAvoidPosPred.
% 16.38/16.56 #
% 16.38/16.56 # SatCheck found unsatisfiable ground set
% 16.38/16.56 # Presaturation interreduction done
% 16.38/16.56
% 16.38/16.56 # Proof found!
% 16.38/16.56 # SZS status Theorem
% 16.38/16.56 # SZS output start CNFRefutation
% See solution above
% 16.38/16.57 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------