%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : TOP021+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May 9 17:51:34 EDT 2024
% Result : Theorem 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 12 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 4 sgn 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kelley_5_19a,conjecture,
! [X1,A1] :
( a_locally_compact_top_space(the_product_top_space_over(X1,A1))
=> ! [A] : a_locally_compact_top_space(apply(X1,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_5_19a) ).
fof(c0,negated_conjecture,
~ ! [X1,A1] :
( a_locally_compact_top_space(the_product_top_space_over(X1,A1))
=> ! [A] : a_locally_compact_top_space(apply(X1,A)) ),
inference(assume_negation,[status(cth)],[kelley_5_19a]) ).
fof(c1,negated_conjecture,
? [X1,A1] :
( a_locally_compact_top_space(the_product_top_space_over(X1,A1))
& ? [A] : ~ a_locally_compact_top_space(apply(X1,A)) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X1] :
( ? [A1] : a_locally_compact_top_space(the_product_top_space_over(X1,A1))
& ? [A] : ~ a_locally_compact_top_space(apply(X1,A)) ),
inference(shift_quantors,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2] :
( ? [X3] : a_locally_compact_top_space(the_product_top_space_over(X2,X3))
& ? [X4] : ~ a_locally_compact_top_space(apply(X2,X4)) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
( a_locally_compact_top_space(the_product_top_space_over(skolem0001,skolem0002))
& ~ a_locally_compact_top_space(apply(skolem0001,skolem0003)) ),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c6,negated_conjecture,
~ a_locally_compact_top_space(apply(skolem0001,skolem0003)),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
a_locally_compact_top_space(the_product_top_space_over(skolem0001,skolem0002)),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(kelley_3_2,axiom,
! [A,X,A1,X1] : an_open_function_from_onto(the_projection_function(A,X,A1),the_product_top_space_over(X1,A1),apply(X1,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_3_2) ).
fof(c10,plain,
! [X8,X9,X10,X11] : an_open_function_from_onto(the_projection_function(X8,X9,X10),the_product_top_space_over(X11,X10),apply(X11,X8)),
inference(variable_rename,[status(thm)],[kelley_3_2]) ).
cnf(c11,plain,
an_open_function_from_onto(the_projection_function(X16,X15,X17),the_product_top_space_over(X18,X17),apply(X18,X16)),
inference(split_conjunct,[status(thm)],[c10]) ).
fof(kelley_p90a,axiom,
! [A,X,A1] : a_continuous_function_from_onto(the_projection_function(A,X,A1),the_product_top_space_over(X,A1),apply(X,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_p90a) ).
fof(c12,plain,
! [X12,X13,X14] : a_continuous_function_from_onto(the_projection_function(X12,X13,X14),the_product_top_space_over(X13,X14),apply(X13,X12)),
inference(variable_rename,[status(thm)],[kelley_p90a]) ).
cnf(c13,plain,
a_continuous_function_from_onto(the_projection_function(X20,X21,X19),the_product_top_space_over(X21,X19),apply(X21,X20)),
inference(split_conjunct,[status(thm)],[c12]) ).
fof(kelley_p_147e,axiom,
! [F,A,B] :
( ( an_open_function_from_onto(F,A,B)
& a_continuous_function_from_onto(F,A,B)
& a_locally_compact_top_space(A) )
=> a_locally_compact_top_space(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_p_147e) ).
fof(c7,plain,
! [F,A,B] :
( ~ an_open_function_from_onto(F,A,B)
| ~ a_continuous_function_from_onto(F,A,B)
| ~ a_locally_compact_top_space(A)
| a_locally_compact_top_space(B) ),
inference(fof_nnf,[status(thm)],[kelley_p_147e]) ).
fof(c8,plain,
! [X5,X6,X7] :
( ~ an_open_function_from_onto(X5,X6,X7)
| ~ a_continuous_function_from_onto(X5,X6,X7)
| ~ a_locally_compact_top_space(X6)
| a_locally_compact_top_space(X7) ),
inference(variable_rename,[status(thm)],[c7]) ).
cnf(c9,plain,
( ~ an_open_function_from_onto(X24,X22,X23)
| ~ a_continuous_function_from_onto(X24,X22,X23)
| ~ a_locally_compact_top_space(X22)
| a_locally_compact_top_space(X23) ),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c14,plain,
( ~ an_open_function_from_onto(the_projection_function(X26,X27,X25),the_product_top_space_over(X27,X25),apply(X27,X26))
| ~ a_locally_compact_top_space(the_product_top_space_over(X27,X25))
| a_locally_compact_top_space(apply(X27,X26)) ),
inference(resolution,[status(thm)],[c9,c13]) ).
cnf(c15,plain,
( ~ a_locally_compact_top_space(the_product_top_space_over(X29,X30))
| a_locally_compact_top_space(apply(X29,X28)) ),
inference(resolution,[status(thm)],[c14,c11]) ).
cnf(c16,plain,
a_locally_compact_top_space(apply(skolem0001,X31)),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(c17,plain,
$false,
inference(resolution,[status(thm)],[c16,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : TOP021+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Wed May 8 20:46:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.45 % Version: 1.5
% 0.15/0.45 % SZS status Theorem
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45
% 0.15/0.45 % Initial clauses : 5
% 0.15/0.45 % Processed clauses : 8
% 0.15/0.45 % Factors computed : 0
% 0.15/0.45 % Resolvents computed: 4
% 0.15/0.45 % Tautologies deleted: 0
% 0.15/0.45 % Forward subsumed : 0
% 0.15/0.45 % Backward subsumed : 1
% 0.15/0.45 % -------- CPU Time ---------
% 0.15/0.45 % User time : 0.118 s
% 0.15/0.45 % System time : 0.021 s
% 0.15/0.45 % Total time : 0.139 s
%------------------------------------------------------------------------------