TSTP Solution File: SEU189+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 : 600s
% DateTime : Tue Jul 19 13:36:18 EDT 2022
% Result : Theorem 5.55s 5.76s
% Output : Refutation 5.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
input ).
fof(c20,axiom,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(fof_nnf,status(thm),[t6_boole]) ).
fof(c21,axiom,
! [X4] :
( ~ empty(X4)
| X4 = empty_set ),
inference(variable_rename,status(thm),[c20]) ).
cnf(c22,axiom,
( ~ empty(X41)
| X41 = empty_set ),
inference(split_conjunct,status(thm),[c21]) ).
fof(fc7_relat_1,axiom,
! [A] :
( empty(A)
=> ( empty(relation_dom(A))
& relation(relation_dom(A)) ) ),
input ).
fof(c47,axiom,
! [A] :
( ~ empty(A)
| ( empty(relation_dom(A))
& relation(relation_dom(A)) ) ),
inference(fof_nnf,status(thm),[fc7_relat_1]) ).
fof(c48,axiom,
! [X12] :
( ~ empty(X12)
| ( empty(relation_dom(X12))
& relation(relation_dom(X12)) ) ),
inference(variable_rename,status(thm),[c47]) ).
fof(c49,axiom,
! [X12] :
( ( ~ empty(X12)
| empty(relation_dom(X12)) )
& ( ~ empty(X12)
| relation(relation_dom(X12)) ) ),
inference(distribute,status(thm),[c48]) ).
cnf(c50,axiom,
( ~ empty(X59)
| empty(relation_dom(X59)) ),
inference(split_conjunct,status(thm),[c49]) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
input ).
cnf(c23,axiom,
empty(empty_set),
inference(split_conjunct,status(thm),[fc1_xboole_0]) ).
cnf(c3,plain,
( X47 != X46
| ~ empty(X47)
| empty(X46) ),
eq_axiom ).
cnf(symmetry,axiom,
( X28 != X27
| X27 = X28 ),
eq_axiom ).
fof(t65_relat_1,conjecture,
! [A] :
( relation(A)
=> ( relation_dom(A) = empty_set
<=> relation_rng(A) = empty_set ) ),
input ).
fof(c13,negated_conjecture,
~ ! [A] :
( relation(A)
=> ( relation_dom(A) = empty_set
<=> relation_rng(A) = empty_set ) ),
inference(assume_negation,status(cth),[t65_relat_1]) ).
fof(c14,negated_conjecture,
? [A] :
( relation(A)
& ( relation_dom(A) != empty_set
| relation_rng(A) != empty_set )
& ( relation_dom(A) = empty_set
| relation_rng(A) = empty_set ) ),
inference(fof_nnf,status(thm),[c13]) ).
fof(c15,negated_conjecture,
? [X3] :
( relation(X3)
& ( relation_dom(X3) != empty_set
| relation_rng(X3) != empty_set )
& ( relation_dom(X3) = empty_set
| relation_rng(X3) = empty_set ) ),
inference(variable_rename,status(thm),[c14]) ).
fof(c16,negated_conjecture,
( relation(skolem0001)
& ( relation_dom(skolem0001) != empty_set
| relation_rng(skolem0001) != empty_set )
& ( relation_dom(skolem0001) = empty_set
| relation_rng(skolem0001) = empty_set ) ),
inference(skolemize,status(esa),[c15]) ).
cnf(c17,negated_conjecture,
relation(skolem0001),
inference(split_conjunct,status(thm),[c16]) ).
fof(t64_relat_1,axiom,
! [A] :
( relation(A)
=> ( ( relation_dom(A) = empty_set
| relation_rng(A) = empty_set )
=> A = empty_set ) ),
input ).
fof(c6,axiom,
! [A] :
( ~ relation(A)
| ( relation_dom(A) != empty_set
& relation_rng(A) != empty_set )
| A = empty_set ),
inference(fof_nnf,status(thm),[t64_relat_1]) ).
fof(c7,axiom,
! [X2] :
( ~ relation(X2)
| ( relation_dom(X2) != empty_set
& relation_rng(X2) != empty_set )
| X2 = empty_set ),
inference(variable_rename,status(thm),[c6]) ).
fof(c8,axiom,
! [X2] :
( ( ~ relation(X2)
| relation_dom(X2) != empty_set
| X2 = empty_set )
& ( ~ relation(X2)
| relation_rng(X2) != empty_set
| X2 = empty_set ) ),
inference(distribute,status(thm),[c7]) ).
cnf(c10,axiom,
( ~ relation(X60)
| relation_rng(X60) != empty_set
| X60 = empty_set ),
inference(split_conjunct,status(thm),[c8]) ).
cnf(c9,axiom,
( ~ relation(X58)
| relation_dom(X58) != empty_set
| X58 = empty_set ),
inference(split_conjunct,status(thm),[c8]) ).
cnf(c19,negated_conjecture,
( relation_dom(skolem0001) = empty_set
| relation_rng(skolem0001) = empty_set ),
inference(split_conjunct,status(thm),[c16]) ).
cnf(c188,plain,
( relation_rng(skolem0001) = empty_set
| ~ relation(skolem0001)
| skolem0001 = empty_set ),
inference(resolution,status(thm),[c19,c9]) ).
cnf(c736,plain,
( relation_rng(skolem0001) = empty_set
| skolem0001 = empty_set ),
inference(resolution,status(thm),[c188,c17]) ).
cnf(c5408,plain,
( skolem0001 = empty_set
| ~ relation(skolem0001) ),
inference(resolution,status(thm),[c736,c10]) ).
cnf(c5443,plain,
skolem0001 = empty_set,
inference(resolution,status(thm),[c5408,c17]) ).
cnf(c5458,plain,
empty_set = skolem0001,
inference(resolution,status(thm),[c5443,symmetry]) ).
cnf(c5491,plain,
( ~ empty(empty_set)
| empty(skolem0001) ),
inference(resolution,status(thm),[c5458,c3]) ).
cnf(c5823,plain,
empty(skolem0001),
inference(resolution,status(thm),[c5491,c23]) ).
cnf(c5850,plain,
empty(relation_dom(skolem0001)),
inference(resolution,status(thm),[c5823,c50]) ).
cnf(c5919,plain,
relation_dom(skolem0001) = empty_set,
inference(resolution,status(thm),[c5850,c22]) ).
cnf(c18,negated_conjecture,
( relation_dom(skolem0001) != empty_set
| relation_rng(skolem0001) != empty_set ),
inference(split_conjunct,status(thm),[c16]) ).
fof(fc8_relat_1,axiom,
! [A] :
( empty(A)
=> ( empty(relation_rng(A))
& relation(relation_rng(A)) ) ),
input ).
fof(c42,axiom,
! [A] :
( ~ empty(A)
| ( empty(relation_rng(A))
& relation(relation_rng(A)) ) ),
inference(fof_nnf,status(thm),[fc8_relat_1]) ).
fof(c43,axiom,
! [X11] :
( ~ empty(X11)
| ( empty(relation_rng(X11))
& relation(relation_rng(X11)) ) ),
inference(variable_rename,status(thm),[c42]) ).
fof(c44,axiom,
! [X11] :
( ( ~ empty(X11)
| empty(relation_rng(X11)) )
& ( ~ empty(X11)
| relation(relation_rng(X11)) ) ),
inference(distribute,status(thm),[c43]) ).
cnf(c45,axiom,
( ~ empty(X49)
| empty(relation_rng(X49)) ),
inference(split_conjunct,status(thm),[c44]) ).
cnf(c5831,plain,
empty(relation_rng(skolem0001)),
inference(resolution,status(thm),[c5823,c45]) ).
cnf(c5887,plain,
relation_rng(skolem0001) = empty_set,
inference(resolution,status(thm),[c5831,c22]) ).
cnf(c6150,plain,
relation_dom(skolem0001) != empty_set,
inference(resolution,status(thm),[c5887,c18]) ).
cnf(c6454,plain,
$false,
inference(resolution,status(thm),[c6150,c5919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 11:18:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.55/5.76 # Version: 1.3
% 5.55/5.76 # SZS status Theorem
% 5.55/5.76 # SZS output start CNFRefutation
% See solution above
% 5.55/5.76
% 5.55/5.76 # Initial clauses : 43
% 5.55/5.76 # Processed clauses : 625
% 5.55/5.76 # Factors computed : 0
% 5.55/5.76 # Resolvents computed: 6370
% 5.55/5.76 # Tautologies deleted: 5
% 5.55/5.76 # Forward subsumed : 1249
% 5.55/5.76 # Backward subsumed : 44
% 5.55/5.76 # -------- CPU Time ---------
% 5.55/5.76 # User time : 5.391 s
% 5.55/5.76 # System time : 0.030 s
% 5.55/5.76 # Total time : 5.421 s
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