%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU115+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:40:34 EDT 2024
% Result : Theorem 1.20s 1.41s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 33 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_finsub_1,conjecture,
finite_subsets(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_finsub_1) ).
fof(c23,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(assume_negation,[status(cth)],[t28_finsub_1]) ).
fof(c24,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(fof_simplification,[status(thm)],[c23]) ).
cnf(c25,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(split_conjunct,[status(thm)],[c24]) ).
cnf(transitivity,axiom,
( X66 != X65
| X65 != X64
| X66 = X64 ),
theory(equality) ).
fof(t1_zfmisc_1,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
cnf(c19,plain,
powerset(empty_set) = singleton(empty_set),
inference(split_conjunct,[status(thm)],[t1_zfmisc_1]) ).
cnf(c351,plain,
( X490 != powerset(empty_set)
| X490 = singleton(empty_set) ),
inference(resolution,[status(thm)],[c19,transitivity]) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(c36,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
fof(cc1_finset_1,axiom,
! [A] :
( empty(A)
=> finite(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(c138,plain,
! [A] :
( ~ empty(A)
| finite(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(c139,plain,
! [X43] :
( ~ empty(X43)
| finite(X43) ),
inference(variable_rename,[status(thm)],[c138]) ).
cnf(c140,plain,
( ~ empty(X106)
| finite(X106) ),
inference(split_conjunct,[status(thm)],[c139]) ).
cnf(c179,plain,
finite(empty_set),
inference(resolution,[status(thm)],[c140,c36]) ).
fof(t27_finsub_1,axiom,
! [A] :
( finite(A)
=> finite_subsets(A) = powerset(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_finsub_1) ).
fof(c20,plain,
! [A] :
( ~ finite(A)
| finite_subsets(A) = powerset(A) ),
inference(fof_nnf,[status(thm)],[t27_finsub_1]) ).
fof(c21,plain,
! [X2] :
( ~ finite(X2)
| finite_subsets(X2) = powerset(X2) ),
inference(variable_rename,[status(thm)],[c20]) ).
cnf(c22,plain,
( ~ finite(X193)
| finite_subsets(X193) = powerset(X193) ),
inference(split_conjunct,[status(thm)],[c21]) ).
cnf(c378,plain,
finite_subsets(empty_set) = powerset(empty_set),
inference(resolution,[status(thm)],[c22,c179]) ).
cnf(c1701,plain,
finite_subsets(empty_set) = singleton(empty_set),
inference(resolution,[status(thm)],[c378,c351]) ).
cnf(c3050,plain,
$false,
inference(resolution,[status(thm)],[c1701,c25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU115+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n005.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 11:15:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.20/1.41 % Version: 1.5
% 1.20/1.41 % SZS status Theorem
% 1.20/1.41 % SZS output start CNFRefutation
% See solution above
% 1.20/1.41
% 1.20/1.41 % Initial clauses : 86
% 1.20/1.41 % Processed clauses : 500
% 1.20/1.41 % Factors computed : 4
% 1.20/1.41 % Resolvents computed: 2894
% 1.20/1.41 % Tautologies deleted: 17
% 1.20/1.41 % Forward subsumed : 271
% 1.20/1.41 % Backward subsumed : 35
% 1.20/1.41 % -------- CPU Time ---------
% 1.20/1.41 % User time : 1.032 s
% 1.20/1.41 % System time : 0.023 s
% 1.20/1.41 % Total time : 1.055 s
%------------------------------------------------------------------------------