%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:40:21 EDT 2024
% Result : Theorem 1.04s 1.21s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 46 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 12 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_zfmisc_1,conjecture,
! [A,B] :
( disjoint(singleton(A),B)
| set_intersection2(singleton(A),B) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_zfmisc_1) ).
fof(c5,negated_conjecture,
~ ! [A,B] :
( disjoint(singleton(A),B)
| set_intersection2(singleton(A),B) = singleton(A) ),
inference(assume_negation,[status(cth)],[t58_zfmisc_1]) ).
fof(c6,negated_conjecture,
? [A,B] :
( ~ disjoint(singleton(A),B)
& set_intersection2(singleton(A),B) != singleton(A) ),
inference(fof_nnf,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
? [X2,X3] :
( ~ disjoint(singleton(X2),X3)
& set_intersection2(singleton(X2),X3) != singleton(X2) ),
inference(variable_rename,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
( ~ disjoint(singleton(skolem0001),skolem0002)
& set_intersection2(singleton(skolem0001),skolem0002) != singleton(skolem0001) ),
inference(skolemize,[status(esa)],[c7]) ).
cnf(c10,negated_conjecture,
set_intersection2(singleton(skolem0001),skolem0002) != singleton(skolem0001),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(symmetry,axiom,
( X20 != X19
| X19 = X20 ),
theory(equality) ).
cnf(transitivity,axiom,
( X23 != X22
| X22 != X21
| X23 = X21 ),
theory(equality) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(c31,plain,
! [X13,X14] : set_intersection2(X13,X14) = set_intersection2(X14,X13),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c32,plain,
set_intersection2(X61,X60) = set_intersection2(X60,X61),
inference(split_conjunct,[status(thm)],[c31]) ).
cnf(c78,plain,
( X193 != set_intersection2(X192,X191)
| X193 = set_intersection2(X191,X192) ),
inference(resolution,[status(thm)],[c32,transitivity]) ).
cnf(c9,negated_conjecture,
~ disjoint(singleton(skolem0001),skolem0002),
inference(split_conjunct,[status(thm)],[c8]) ).
fof(l28_zfmisc_1,axiom,
! [A,B] :
( ~ in(A,B)
=> disjoint(singleton(A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(c24,plain,
! [A,B] :
( ~ in(A,B)
=> disjoint(singleton(A),B) ),
inference(fof_simplification,[status(thm)],[l28_zfmisc_1]) ).
fof(c25,plain,
! [A,B] :
( in(A,B)
| disjoint(singleton(A),B) ),
inference(fof_nnf,[status(thm)],[c24]) ).
fof(c26,plain,
! [X10,X11] :
( in(X10,X11)
| disjoint(singleton(X10),X11) ),
inference(variable_rename,[status(thm)],[c25]) ).
cnf(c27,plain,
( in(X52,X51)
| disjoint(singleton(X52),X51) ),
inference(split_conjunct,[status(thm)],[c26]) ).
cnf(c62,plain,
in(skolem0001,skolem0002),
inference(resolution,[status(thm)],[c27,c9]) ).
fof(l32_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> set_intersection2(B,singleton(A)) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_zfmisc_1) ).
fof(c21,plain,
! [A,B] :
( ~ in(A,B)
| set_intersection2(B,singleton(A)) = singleton(A) ),
inference(fof_nnf,[status(thm)],[l32_zfmisc_1]) ).
fof(c22,plain,
! [X8,X9] :
( ~ in(X8,X9)
| set_intersection2(X9,singleton(X8)) = singleton(X8) ),
inference(variable_rename,[status(thm)],[c21]) ).
cnf(c23,plain,
( ~ in(X68,X67)
| set_intersection2(X67,singleton(X68)) = singleton(X68) ),
inference(split_conjunct,[status(thm)],[c22]) ).
cnf(c89,plain,
set_intersection2(skolem0002,singleton(skolem0001)) = singleton(skolem0001),
inference(resolution,[status(thm)],[c23,c62]) ).
cnf(c451,plain,
singleton(skolem0001) = set_intersection2(skolem0002,singleton(skolem0001)),
inference(resolution,[status(thm)],[c89,symmetry]) ).
cnf(c2163,plain,
singleton(skolem0001) = set_intersection2(singleton(skolem0001),skolem0002),
inference(resolution,[status(thm)],[c451,c78]) ).
cnf(c2376,plain,
set_intersection2(singleton(skolem0001),skolem0002) = singleton(skolem0001),
inference(resolution,[status(thm)],[c2163,symmetry]) ).
cnf(c2453,plain,
$false,
inference(resolution,[status(thm)],[c2376,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:55:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.04/1.21 % Version: 1.5
% 1.04/1.21 % SZS status Theorem
% 1.04/1.21 % SZS output start CNFRefutation
% See solution above
% 1.04/1.21
% 1.04/1.21 % Initial clauses : 18
% 1.04/1.21 % Processed clauses : 192
% 1.04/1.21 % Factors computed : 13
% 1.04/1.21 % Resolvents computed: 2407
% 1.04/1.21 % Tautologies deleted: 3
% 1.04/1.21 % Forward subsumed : 232
% 1.04/1.21 % Backward subsumed : 0
% 1.04/1.21 % -------- CPU Time ---------
% 1.04/1.21 % User time : 0.828 s
% 1.04/1.21 % System time : 0.020 s
% 1.04/1.21 % Total time : 0.848 s
%------------------------------------------------------------------------------