TSTP Solution File: SEU020+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : Wed May 31 12:35:42 EDT 2023
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 18 unt; 0 def)
% Number of atoms : 149 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 150 ( 55 ~; 55 |; 23 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 24 (; 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( relation_dom(relation_composition(B,A)) = relation_dom(B)
=> subset(relation_rng(B),relation_dom(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( ( one_to_one(relation_composition(B,A))
& subset(relation_rng(B),relation_dom(A)) )
=> one_to_one(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A] : one_to_one(identity_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
! [A] :
( ( relation(A)
& function(A) )
=> ( ? [B] :
( relation(B)
& function(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
=> one_to_one(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( ? [B] :
( relation(B)
& function(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
=> one_to_one(A) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f39,axiom,
! [A] :
( relation_dom(identity_relation(A)) = A
& relation_rng(identity_relation(A)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ! [B] :
( ~ relation(B)
| ~ function(B)
| relation_dom(relation_composition(B,A)) != relation_dom(B)
| subset(relation_rng(B),relation_dom(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f110,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0)) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f117,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ! [B] :
( ~ relation(B)
| ~ function(B)
| ~ one_to_one(relation_composition(B,A))
| ~ subset(relation_rng(B),relation_dom(A))
| one_to_one(B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f118,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| one_to_one(X1) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f122,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f123,plain,
? [A] :
( relation(A)
& function(A)
& ? [B] :
( relation(B)
& function(B)
& relation_composition(A,B) = identity_relation(relation_dom(A)) )
& ~ one_to_one(A) ),
inference(pre_NNF_transformation,[status(esa)],[f36]) ).
fof(f124,plain,
( relation(sk0_9)
& function(sk0_9)
& relation(sk0_10)
& function(sk0_10)
& relation_composition(sk0_9,sk0_10) = identity_relation(relation_dom(sk0_9))
& ~ one_to_one(sk0_9) ),
inference(skolemization,[status(esa)],[f123]) ).
fof(f125,plain,
relation(sk0_9),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
function(sk0_9),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f127,plain,
relation(sk0_10),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f128,plain,
function(sk0_10),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f129,plain,
relation_composition(sk0_9,sk0_10) = identity_relation(relation_dom(sk0_9)),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f130,plain,
~ one_to_one(sk0_9),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f136,plain,
( ! [A] : relation_dom(identity_relation(A)) = A
& ! [A] : relation_rng(identity_relation(A)) = A ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f137,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f147,plain,
one_to_one(relation_composition(sk0_9,sk0_10)),
inference(paramodulation,[status(thm)],[f129,f122]) ).
fof(f148,plain,
relation_dom(relation_composition(sk0_9,sk0_10)) = relation_dom(sk0_9),
inference(paramodulation,[status(thm)],[f129,f137]) ).
fof(f177,plain,
( spl0_4
<=> relation(sk0_9) ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( ~ relation(sk0_9)
| spl0_4 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f206,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f125]) ).
fof(f207,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f223,plain,
( spl0_8
<=> relation(sk0_10) ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( ~ relation(sk0_10)
| spl0_8 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f230,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f127]) ).
fof(f231,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f297,plain,
( spl0_13
<=> function(sk0_10) ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( ~ function(sk0_10)
| spl0_13 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( spl0_14
<=> function(sk0_9) ),
introduced(split_symbol_definition) ).
fof(f302,plain,
( ~ function(sk0_9)
| spl0_14 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( spl0_15
<=> subset(relation_rng(sk0_9),relation_dom(sk0_10)) ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( subset(relation_rng(sk0_9),relation_dom(sk0_10))
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( ~ relation(sk0_10)
| ~ function(sk0_10)
| ~ relation(sk0_9)
| ~ function(sk0_9)
| subset(relation_rng(sk0_9),relation_dom(sk0_10)) ),
inference(resolution,[status(thm)],[f110,f148]) ).
fof(f307,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_4
| ~ spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f306,f223,f297,f177,f300,f303]) ).
fof(f313,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f126]) ).
fof(f314,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f128]) ).
fof(f316,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f324,plain,
( spl0_17
<=> one_to_one(relation_composition(sk0_9,sk0_10)) ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( ~ one_to_one(relation_composition(sk0_9,sk0_10))
| spl0_17 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_18
<=> one_to_one(sk0_9) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( one_to_one(sk0_9)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( ~ relation(sk0_10)
| ~ function(sk0_10)
| ~ relation(sk0_9)
| ~ function(sk0_9)
| ~ one_to_one(relation_composition(sk0_9,sk0_10))
| one_to_one(sk0_9)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f304,f118]) ).
fof(f331,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17
| spl0_18
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f330,f223,f297,f177,f300,f324,f327,f303]) ).
fof(f332,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f147]) ).
fof(f333,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f130]) ).
fof(f335,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f334]) ).
fof(f336,plain,
$false,
inference(sat_refutation,[status(thm)],[f207,f231,f307,f314,f316,f331,f333,f335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n003.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:20:53 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.55 % Elapsed time: 0.033937 seconds
% 0.14/0.55 % CPU time: 0.017390 seconds
% 0.14/0.55 % Memory used: 3.831 MB
%------------------------------------------------------------------------------