%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 3 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 28 ~; 24 |; 5 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [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/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f40,plain,
! [A,B] :
( relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f41,plain,
! [A] :
( ! [B] : relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f80,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)],[f25]) ).
fof(f82,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f100,plain,
! [A,B] :
( subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f101,plain,
! [B] :
( ! [A] : subset(relation_dom_restriction(B,A),B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X0,X1),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f106,plain,
? [A,B] :
( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f107,plain,
? [B] :
( ? [A] : ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& relation(B) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f108,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK7_skl,sK8_skl)),relation_rng(sK7_skl))
& relation(sK7_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(B,sK7_skl),skolemize(A,sK8_skl)],[f107]) ).
fof(f109,plain,
relation(sK7_skl),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
~ subset(relation_rng(relation_dom_restriction(sK7_skl,sK8_skl)),relation_rng(sK7_skl)),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f111,plain,
( ~ subset(relation_dom_restriction(sK7_skl,sK8_skl),sK7_skl)
| ~ relation(sK7_skl)
| ~ relation(relation_dom_restriction(sK7_skl,sK8_skl)) ),
inference(resolution,[status(thm)],[f82,f110]) ).
fof(f112,definition,
( sQ0_spl
<=> relation(relation_dom_restriction(sK7_skl,sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( sQ0_spl
| ~ relation(relation_dom_restriction(sK7_skl,sK8_skl)) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ1_spl
<=> relation(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ1_spl
| ~ relation(sK7_skl) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ2_spl
<=> subset(relation_dom_restriction(sK7_skl,sK8_skl),sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ2_spl
| ~ subset(relation_dom_restriction(sK7_skl,sK8_skl),sK7_skl) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f111,f112,f115,f118]) ).
fof(f125,plain,
( sQ2_spl
| ~ relation(sK7_skl) ),
inference(resolution,[status(thm)],[f102,f120]) ).
fof(f126,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f109]) ).
fof(f127,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ0_spl
| ~ relation(sK7_skl) ),
inference(resolution,[status(thm)],[f114,f42]) ).
fof(f130,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f109]) ).
fof(f131,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f109]) ).
fof(f133,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f132]) ).
fof(f134,plain,
$false,
inference(sat_refutation,[status(thm)],[f121,f127,f131,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:59:36 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.042872 seconds
% 0.13/0.41 % CPU time: 0.117701 seconds
% 0.13/0.41 % Total memory used: 47.909 MB
% 0.13/0.41 % Net memory used: 47.847 MB
%------------------------------------------------------------------------------