%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : Thu May 9 17:26:09 EDT 2024
% Result : Theorem 3.14s 3.41s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 44 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 13 |; 9 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,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) ).
fof(c10,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) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
fof(c11,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) ),
inference(fof_nnf,[status(thm)],[c10]) ).
fof(c12,negated_conjecture,
? [X2] :
( mem(X2,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& X2 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,X2) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(variable_rename,[status(thm)],[c11]) ).
fof(c13,negated_conjecture,
( mem(skolem0001,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& skolem0001 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,skolem0001) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(skolemize,[status(esa)],[c12]) ).
cnf(c15,negated_conjecture,
skolem0001 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c14,negated_conjecture,
mem(skolem0001,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c16,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__inv,skolem0001) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c13]) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,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) ).
fof(c17,plain,
! [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) )
& ( 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) ) ) ),
inference(fof_nnf,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).
fof(c18,plain,
! [X3] :
( ~ mem(X3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ( ( ap(c_2Ecomplex_2Ecomplex__inv,X3) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X3 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
& ( X3 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ap(c_2Ecomplex_2Ecomplex__inv,X3) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
inference(variable_rename,[status(thm)],[c17]) ).
fof(c19,plain,
! [X3] :
( ( ~ mem(X3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,X3) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X3 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
& ( ~ mem(X3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| X3 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ap(c_2Ecomplex_2Ecomplex__inv,X3) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(distribute,[status(thm)],[c18]) ).
cnf(c20,plain,
( ~ mem(X93,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,X93) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X93 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(split_conjunct,[status(thm)],[c19]) ).
cnf(c223,plain,
( ~ mem(skolem0001,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| skolem0001 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(resolution,[status(thm)],[c20,c16]) ).
cnf(c9265,plain,
skolem0001 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(resolution,[status(thm)],[c223,c14]) ).
cnf(c9278,plain,
$false,
inference(resolution,[status(thm)],[c9265,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 : Wed May 8 22:45:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 3.14/3.41 % Version: 1.5
% 3.14/3.41 % SZS status Theorem
% 3.14/3.41 % SZS output start CNFRefutation
% See solution above
% 3.14/3.41
% 3.14/3.41 % Initial clauses : 61
% 3.14/3.41 % Processed clauses : 464
% 3.14/3.41 % Factors computed : 13
% 3.14/3.41 % Resolvents computed: 9159
% 3.14/3.41 % Tautologies deleted: 6
% 3.14/3.41 % Forward subsumed : 35
% 3.14/3.41 % Backward subsumed : 2
% 3.14/3.41 % -------- CPU Time ---------
% 3.14/3.41 % User time : 3.026 s
% 3.14/3.41 % System time : 0.033 s
% 3.14/3.41 % Total time : 3.060 s
%------------------------------------------------------------------------------