%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:19:37 PM UTC 2026
% Result : Theorem 0.14s 0.63s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 15 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,lemma,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f177,lemma,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f184,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f185,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(negated_conjecture,[status(cth)],[f184]) ).
fof(f414,plain,
! [A,B] :
( relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f415,plain,
! [A] :
( ! [B] : relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f414]) ).
fof(f416,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f570,plain,
! [A] :
( ! [B] :
( ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) )
| ~ subset(A,B)
| ~ relation(B) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f122]) ).
fof(f572,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f723,plain,
! [A,B] :
( subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f177]) ).
fof(f724,plain,
! [B] :
( ! [A] : subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f723]) ).
fof(f725,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X0,X1),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f742,plain,
? [A,B] :
( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f185]) ).
fof(f743,plain,
? [B] :
( ? [A] : ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& relation(B) ),
inference(miniscoping,[status(thm)],[f742]) ).
fof(f744,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK57_skl,sK58_skl)),relation_rng(sK57_skl))
& relation(sK57_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57_skl,sK58_skl]),skolemize(B,sK57_skl),skolemize(A,sK58_skl)],[f743]) ).
fof(f745,plain,
relation(sK57_skl),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f746,plain,
~ subset(relation_rng(relation_dom_restriction(sK57_skl,sK58_skl)),relation_rng(sK57_skl)),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f899,plain,
( ~ subset(relation_dom_restriction(sK57_skl,sK58_skl),sK57_skl)
| ~ relation(sK57_skl)
| ~ relation(relation_dom_restriction(sK57_skl,sK58_skl)) ),
inference(resolution,[status(thm)],[f572,f746]) ).
fof(f913,plain,
( ~ subset(relation_dom_restriction(sK57_skl,sK58_skl),sK57_skl)
| ~ relation(sK57_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f416]) ).
fof(f935,plain,
~ subset(relation_dom_restriction(sK57_skl,sK58_skl),sK57_skl),
inference(forward_subsumption_resolution,[status(thm)],[f913,f745]) ).
fof(f936,plain,
~ relation(sK57_skl),
inference(resolution,[status(thm)],[f935,f725]) ).
fof(f938,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f936,f745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n003.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 05:58:01 UTC 2026
% 0.13/0.57 % CPUTime :
% 0.13/0.60 % Drodi V4.1.1
% 0.14/0.63 % Refutation found
% 0.14/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.65 % Elapsed time: 0.069308 seconds
% 0.14/0.65 % CPU time: 0.208906 seconds
% 0.14/0.65 % Total memory used: 105.580 MB
% 0.14/0.65 % Net memory used: 105.328 MB
%------------------------------------------------------------------------------