%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:40:52 EDT 2024
% Result : Theorem 2.12s 2.38s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 94 ( 53 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 89 ( 35 ~; 29 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry,axiom,
( X12 != X13
| X13 = X12 ),
theory(equality) ).
cnf(transitivity,axiom,
( X14 != X16
| X16 != X15
| X14 = X15 ),
theory(equality) ).
fof(t55_funct_1,conjecture,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
fof(c7,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ),
inference(assume_negation,[status(cth)],[t55_funct_1]) ).
fof(c8,negated_conjecture,
? [A] :
( relation(A)
& function(A)
& one_to_one(A)
& ( relation_rng(A) != relation_dom(function_inverse(A))
| relation_dom(A) != relation_rng(function_inverse(A)) ) ),
inference(fof_nnf,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
? [X2] :
( relation(X2)
& function(X2)
& one_to_one(X2)
& ( relation_rng(X2) != relation_dom(function_inverse(X2))
| relation_dom(X2) != relation_rng(function_inverse(X2)) ) ),
inference(variable_rename,[status(thm)],[c8]) ).
fof(c10,negated_conjecture,
( relation(skolem0001)
& function(skolem0001)
& one_to_one(skolem0001)
& ( relation_rng(skolem0001) != relation_dom(function_inverse(skolem0001))
| relation_dom(skolem0001) != relation_rng(function_inverse(skolem0001)) ) ),
inference(skolemize,[status(esa)],[c9]) ).
cnf(c11,negated_conjecture,
relation(skolem0001),
inference(split_conjunct,[status(thm)],[c10]) ).
fof(t37_relat_1,axiom,
! [A] :
( relation(A)
=> ( relation_rng(A) = relation_dom(relation_inverse(A))
& relation_dom(A) = relation_rng(relation_inverse(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(c15,plain,
! [A] :
( ~ relation(A)
| ( relation_rng(A) = relation_dom(relation_inverse(A))
& relation_dom(A) = relation_rng(relation_inverse(A)) ) ),
inference(fof_nnf,[status(thm)],[t37_relat_1]) ).
fof(c16,plain,
! [X3] :
( ~ relation(X3)
| ( relation_rng(X3) = relation_dom(relation_inverse(X3))
& relation_dom(X3) = relation_rng(relation_inverse(X3)) ) ),
inference(variable_rename,[status(thm)],[c15]) ).
fof(c17,plain,
! [X3] :
( ( ~ relation(X3)
| relation_rng(X3) = relation_dom(relation_inverse(X3)) )
& ( ~ relation(X3)
| relation_dom(X3) = relation_rng(relation_inverse(X3)) ) ),
inference(distribute,[status(thm)],[c16]) ).
cnf(c18,plain,
( ~ relation(X44)
| relation_rng(X44) = relation_dom(relation_inverse(X44)) ),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c129,plain,
relation_rng(skolem0001) = relation_dom(relation_inverse(skolem0001)),
inference(resolution,[status(thm)],[c18,c11]) ).
cnf(c287,plain,
relation_dom(relation_inverse(skolem0001)) = relation_rng(skolem0001),
inference(resolution,[status(thm)],[c129,symmetry]) ).
cnf(c373,plain,
( X63 != relation_dom(relation_inverse(skolem0001))
| X63 = relation_rng(skolem0001) ),
inference(resolution,[status(thm)],[c287,transitivity]) ).
cnf(c3,axiom,
( X41 != X40
| relation_dom(X41) = relation_dom(X40) ),
theory(equality) ).
cnf(c12,negated_conjecture,
function(skolem0001),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c13,negated_conjecture,
one_to_one(skolem0001),
inference(split_conjunct,[status(thm)],[c10]) ).
fof(d9_funct_1,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> function_inverse(A) = relation_inverse(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).
fof(c47,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ~ one_to_one(A)
| function_inverse(A) = relation_inverse(A) ),
inference(fof_nnf,[status(thm)],[d9_funct_1]) ).
fof(c48,plain,
! [X10] :
( ~ relation(X10)
| ~ function(X10)
| ~ one_to_one(X10)
| function_inverse(X10) = relation_inverse(X10) ),
inference(variable_rename,[status(thm)],[c47]) ).
cnf(c49,plain,
( ~ relation(X50)
| ~ function(X50)
| ~ one_to_one(X50)
| function_inverse(X50) = relation_inverse(X50) ),
inference(split_conjunct,[status(thm)],[c48]) ).
cnf(c213,plain,
( ~ relation(skolem0001)
| ~ function(skolem0001)
| function_inverse(skolem0001) = relation_inverse(skolem0001) ),
inference(resolution,[status(thm)],[c49,c13]) ).
cnf(c1641,plain,
( ~ relation(skolem0001)
| function_inverse(skolem0001) = relation_inverse(skolem0001) ),
inference(resolution,[status(thm)],[c213,c12]) ).
cnf(c1821,plain,
function_inverse(skolem0001) = relation_inverse(skolem0001),
inference(resolution,[status(thm)],[c1641,c11]) ).
cnf(c1826,plain,
relation_dom(function_inverse(skolem0001)) = relation_dom(relation_inverse(skolem0001)),
inference(resolution,[status(thm)],[c1821,c3]) ).
cnf(c2014,plain,
relation_dom(function_inverse(skolem0001)) = relation_rng(skolem0001),
inference(resolution,[status(thm)],[c1826,c373]) ).
cnf(c2019,plain,
relation_rng(skolem0001) = relation_dom(function_inverse(skolem0001)),
inference(resolution,[status(thm)],[c2014,symmetry]) ).
cnf(c14,negated_conjecture,
( relation_rng(skolem0001) != relation_dom(function_inverse(skolem0001))
| relation_dom(skolem0001) != relation_rng(function_inverse(skolem0001)) ),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c2,axiom,
( X32 != X31
| relation_rng(X32) = relation_rng(X31) ),
theory(equality) ).
cnf(c1828,plain,
relation_rng(function_inverse(skolem0001)) = relation_rng(relation_inverse(skolem0001)),
inference(resolution,[status(thm)],[c1821,c2]) ).
cnf(c19,plain,
( ~ relation(X46)
| relation_dom(X46) = relation_rng(relation_inverse(X46)) ),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c153,plain,
relation_dom(skolem0001) = relation_rng(relation_inverse(skolem0001)),
inference(resolution,[status(thm)],[c19,c11]) ).
cnf(c326,plain,
relation_rng(relation_inverse(skolem0001)) = relation_dom(skolem0001),
inference(resolution,[status(thm)],[c153,symmetry]) ).
cnf(c409,plain,
( X77 != relation_rng(relation_inverse(skolem0001))
| X77 = relation_dom(skolem0001) ),
inference(resolution,[status(thm)],[c326,transitivity]) ).
cnf(c2485,plain,
relation_rng(function_inverse(skolem0001)) = relation_dom(skolem0001),
inference(resolution,[status(thm)],[c409,c1828]) ).
cnf(c2488,plain,
relation_dom(skolem0001) = relation_rng(function_inverse(skolem0001)),
inference(resolution,[status(thm)],[c2485,symmetry]) ).
cnf(c2503,plain,
relation_rng(skolem0001) != relation_dom(function_inverse(skolem0001)),
inference(resolution,[status(thm)],[c2488,c14]) ).
cnf(c2507,plain,
$false,
inference(resolution,[status(thm)],[c2503,c2019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 11:30:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 2.12/2.38 % Version: 1.5
% 2.12/2.38 % SZS status Theorem
% 2.12/2.38 % SZS output start CNFRefutation
% See solution above
% 2.12/2.38
% 2.12/2.38 % Initial clauses : 30
% 2.12/2.38 % Processed clauses : 451
% 2.12/2.38 % Factors computed : 1
% 2.12/2.38 % Resolvents computed: 2457
% 2.12/2.38 % Tautologies deleted: 5
% 2.12/2.38 % Forward subsumed : 200
% 2.12/2.38 % Backward subsumed : 36
% 2.12/2.38 % -------- CPU Time ---------
% 2.12/2.38 % User time : 1.980 s
% 2.12/2.38 % System time : 0.017 s
% 2.12/2.38 % Total time : 1.997 s
%------------------------------------------------------------------------------