%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM531+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:36:05 EDT 2024
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 48 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 11 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> W0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c5,negated_conjecture,
~ ! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> W0 != slcrc0 ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c6,negated_conjecture,
? [W0] :
( aSet0(W0)
& isCountable0(W0)
& W0 = slcrc0 ),
inference(fof_nnf,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
? [X2] :
( aSet0(X2)
& isCountable0(X2)
& X2 = slcrc0 ),
inference(variable_rename,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
( aSet0(skolem0001)
& isCountable0(skolem0001)
& skolem0001 = slcrc0 ),
inference(skolemize,[status(esa)],[c7]) ).
cnf(c9,negated_conjecture,
aSet0(skolem0001),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c10,negated_conjecture,
isCountable0(skolem0001),
inference(split_conjunct,[status(thm)],[c8]) ).
fof(mCountNFin,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(c12,plain,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(c13,plain,
! [W0] :
( ~ aSet0(W0)
| ~ isCountable0(W0)
| ~ isFinite0(W0) ),
inference(fof_nnf,[status(thm)],[c12]) ).
fof(c14,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isCountable0(X3)
| ~ isFinite0(X3) ),
inference(variable_rename,[status(thm)],[c13]) ).
cnf(c15,plain,
( ~ aSet0(X27)
| ~ isCountable0(X27)
| ~ isFinite0(X27) ),
inference(split_conjunct,[status(thm)],[c14]) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
cnf(c18,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
cnf(symmetry,axiom,
( X11 != X12
| X12 = X11 ),
theory(equality) ).
cnf(c11,negated_conjecture,
skolem0001 = slcrc0,
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c39,plain,
slcrc0 = skolem0001,
inference(resolution,[status(thm)],[c11,symmetry]) ).
cnf(c3,axiom,
( X35 != X34
| ~ isFinite0(X35)
| isFinite0(X34) ),
theory(equality) ).
cnf(c54,plain,
( ~ isFinite0(slcrc0)
| isFinite0(skolem0001) ),
inference(resolution,[status(thm)],[c3,c39]) ).
cnf(c57,plain,
isFinite0(skolem0001),
inference(resolution,[status(thm)],[c54,c18]) ).
cnf(c58,plain,
( ~ aSet0(skolem0001)
| ~ isCountable0(skolem0001) ),
inference(resolution,[status(thm)],[c57,c15]) ).
cnf(c62,plain,
~ aSet0(skolem0001),
inference(resolution,[status(thm)],[c58,c10]) ).
cnf(c63,plain,
$false,
inference(resolution,[status(thm)],[c62,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM531+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 300
% 0.21/0.36 % DateTime : Wed May 8 16:53:23 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.22/0.55 % Version: 1.5
% 0.22/0.55 % SZS status Theorem
% 0.22/0.55 % SZS output start CNFRefutation
% See solution above
% 0.22/0.55
% 0.22/0.55 % Initial clauses : 21
% 0.22/0.55 % Processed clauses : 25
% 0.22/0.55 % Factors computed : 1
% 0.22/0.55 % Resolvents computed: 25
% 0.22/0.55 % Tautologies deleted: 6
% 0.22/0.55 % Forward subsumed : 9
% 0.22/0.55 % Backward subsumed : 2
% 0.22/0.55 % -------- CPU Time ---------
% 0.22/0.55 % User time : 0.167 s
% 0.22/0.55 % System time : 0.020 s
% 0.22/0.55 % Total time : 0.187 s
%------------------------------------------------------------------------------