%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU197+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:19:38 PM UTC 2026
% Result : Theorem 26.94s 3.90s
% Output : CNFRefutation 25.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 79 ( 5 unt; 0 def)
% Number of atoms : 367 ( 21 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 499 ( 211 ~; 209 |; 51 &)
% ( 14 <=>; 13 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 228 ( 203 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [A,B] :
( relation(B)
=> ! [C] :
( relation(C)
=> ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),B)
& in(E,A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
<=> ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,conjecture,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_rng(relation_rng_restriction(B,C)))
<=> ( in(A,relation_rng(C))
& in(A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
~ ! [A,B,C] :
( relation(C)
=> ( in(A,relation_rng(relation_rng_restriction(B,C)))
<=> ( in(A,relation_rng(C))
& in(A,B) ) ) ),
inference(negated_conjecture,[status(cth)],[f112]) ).
fof(f126,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/sandbox/benchmark/theBenchmark.p') ).
fof(f226,plain,
! [A,B] :
( ! [C] :
( ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),B)
& in(E,A) ) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f227,plain,
! [A,B] :
( ! [C] :
( ( ( ? [D,E] :
( ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_rng_restriction(A,B) )
& ( ! [D,E] :
( ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(NNF_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
! [B] :
( ! [C] :
( ( ! [A] :
( ? [D,E] :
( ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_rng_restriction(A,B) )
& ! [A] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f229,plain,
! [B] :
( ! [C] :
( ( ! [A] :
( ( ( ( in(ordered_pair(sK4_skl(A,C,B),sK5_skl(A,C,B)),B)
& in(sK5_skl(A,C,B),A) )
| in(ordered_pair(sK4_skl(A,C,B),sK5_skl(A,C,B)),C) )
& ( ~ in(ordered_pair(sK4_skl(A,C,B),sK5_skl(A,C,B)),B)
| ~ in(sK5_skl(A,C,B),A)
| ~ in(ordered_pair(sK4_skl(A,C,B),sK5_skl(A,C,B)),C) ) )
| C = relation_rng_restriction(A,B) )
& ! [A] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(D,sK4_skl(A,C,B)),skolemize(E,sK5_skl(A,C,B))],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( in(X4,X2)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X2)
| in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f316,plain,
! [A] :
( ! [B] :
( ( subset(A,B)
<=> ! [C,D] :
( in(ordered_pair(C,D),B)
| ~ in(ordered_pair(C,D),A) ) )
| ~ relation(B) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f317,plain,
! [A] :
( ! [B] :
( ( ( ? [C,D] :
( ~ in(ordered_pair(C,D),B)
& in(ordered_pair(C,D),A) )
| subset(A,B) )
& ( ! [C,D] :
( in(ordered_pair(C,D),B)
| ~ in(ordered_pair(C,D),A) )
| ~ subset(A,B) ) )
| ~ relation(B) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
! [A] :
( ! [B] :
( ( ( ( ~ in(ordered_pair(sK24_skl(B,A),sK25_skl(B,A)),B)
& in(ordered_pair(sK24_skl(B,A),sK25_skl(B,A)),A) )
| subset(A,B) )
& ( ! [C,D] :
( in(ordered_pair(C,D),B)
| ~ in(ordered_pair(C,D),A) )
| ~ subset(A,B) ) )
| ~ relation(B) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl]),skolemize(C,sK24_skl(B,A)),skolemize(D,sK25_skl(B,A))],[f317]) ).
fof(f320,plain,
! [X0,X1] :
( in(ordered_pair(sK24_skl(X1,X0),sK25_skl(X1,X0)),X0)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f321,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK24_skl(X1,X0),sK25_skl(X1,X0)),X1)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f322,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,B)
| ~ in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f323,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
( ! [A,B] :
( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f323]) ).
fof(f325,plain,
( ! [A,B] :
( ( ~ in(sK26_skl(B,A),B)
& in(sK26_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(C,sK26_skl(B,A))],[f324]) ).
fof(f326,plain,
! [X0,X1,X2] :
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f365,plain,
! [A] :
( ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f366,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f365]) ).
fof(f367,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f366]) ).
fof(f368,plain,
! [A] :
( ( ! [B] :
( ( ( in(ordered_pair(sK37_skl(B,A),sK36_skl(B,A)),A)
| in(sK36_skl(B,A),B) )
& ( ! [D] : ~ in(ordered_pair(D,sK36_skl(B,A)),A)
| ~ in(sK36_skl(B,A),B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( in(ordered_pair(sK35_skl(C,B,A),C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl,sK36_skl,sK37_skl]),skolemize(D,sK35_skl(C,B,A)),skolemize(C,sK36_skl(B,A)),skolemize(D,sK37_skl(B,A))],[f367]) ).
fof(f369,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK35_skl(X2,X1,X0),X2),X0)
| ~ in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f432,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f433,plain,
! [B] :
( ! [A] : relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f432]) ).
fof(f434,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f555,plain,
? [A,B,C] :
( ( in(A,relation_rng(relation_rng_restriction(B,C)))
<~> ( in(A,relation_rng(C))
& in(A,B) ) )
& relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f113]) ).
fof(f556,plain,
? [A,B,C] :
( ( ~ in(A,relation_rng(C))
| ~ in(A,B)
| ~ in(A,relation_rng(relation_rng_restriction(B,C))) )
& ( ( in(A,relation_rng(C))
& in(A,B) )
| in(A,relation_rng(relation_rng_restriction(B,C))) )
& relation(C) ),
inference(NNF_transformation,[status(thm)],[f555]) ).
fof(f557,plain,
? [C] :
( ? [A,B] :
( ( ~ in(A,relation_rng(C))
| ~ in(A,B)
| ~ in(A,relation_rng(relation_rng_restriction(B,C))) )
& ( ( in(A,relation_rng(C))
& in(A,B) )
| in(A,relation_rng(relation_rng_restriction(B,C))) ) )
& relation(C) ),
inference(miniscoping,[status(thm)],[f556]) ).
fof(f558,plain,
( ( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(sK54_skl,sK55_skl)
| ~ in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))) )
& ( ( in(sK54_skl,relation_rng(sK53_skl))
& in(sK54_skl,sK55_skl) )
| in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))) )
& relation(sK53_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl,sK55_skl]),skolemize(C,sK53_skl),skolemize(A,sK54_skl),skolemize(B,sK55_skl)],[f557]) ).
fof(f559,plain,
relation(sK53_skl),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f560,plain,
( in(sK54_skl,sK55_skl)
| in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))) ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f561,plain,
( in(sK54_skl,relation_rng(sK53_skl))
| in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))) ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f562,plain,
( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(sK54_skl,sK55_skl)
| ~ in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))) ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f594,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)],[f126]) ).
fof(f596,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f795,plain,
! [X0,X1,X2,X3] :
( in(X3,X1)
| ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f230]) ).
fof(f796,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f231]) ).
fof(f797,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f232]) ).
fof(f827,plain,
! [X0,X1] :
( in(ordered_pair(sK35_skl(X1,relation_rng(X0),X0),X1),X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f369]) ).
fof(f828,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f370]) ).
fof(f848,plain,
! [X0,X1,X2,X3] :
( in(X2,X3)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f434]) ).
fof(f849,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f796,f434]) ).
fof(f858,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),X0)
| ~ in(X2,X3)
| in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f434]) ).
fof(f877,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X2),X1)
| ~ in(X2,X0)
| ~ relation(X1)
| in(X2,relation_rng(relation_rng_restriction(X0,X1)))
| ~ relation(relation_rng_restriction(X0,X1)) ),
inference(resolution,[status(thm)],[f828,f858]) ).
fof(f878,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X0),X2)
| ~ in(X0,X1)
| ~ relation(X2)
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f434]) ).
fof(f895,plain,
! [X0] :
( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(sK54_skl,sK55_skl)
| ~ in(ordered_pair(X0,sK54_skl),sK53_skl)
| ~ in(sK54_skl,sK55_skl)
| ~ relation(sK53_skl) ),
inference(resolution,[status(thm)],[f878,f562]) ).
fof(f897,plain,
! [X0] :
( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(ordered_pair(X0,sK54_skl),sK53_skl)
| ~ in(sK54_skl,sK55_skl)
| ~ relation(sK53_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f895]) ).
fof(f898,plain,
! [X0] :
( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(ordered_pair(X0,sK54_skl),sK53_skl)
| ~ in(sK54_skl,sK55_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f559]) ).
fof(f3671,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK24_skl(X2,relation_rng_restriction(X0,X1)),sK25_skl(X2,relation_rng_restriction(X0,X1))),X1)
| ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X2)
| ~ relation(X2)
| ~ relation(relation_rng_restriction(X0,X1)) ),
inference(resolution,[status(thm)],[f320,f849]) ).
fof(f3686,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK24_skl(X0,relation_rng_restriction(X1,X2)),sK25_skl(X0,relation_rng_restriction(X1,X2))),X2)
| ~ relation(X2)
| subset(relation_rng_restriction(X1,X2),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3671,f434]) ).
fof(f3715,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1)
| in(X0,relation_rng(X2))
| ~ in(X0,relation_rng(X1)) ),
inference(resolution,[status(thm)],[f326,f596]) ).
fof(f5585,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0)
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f3686,f321]) ).
fof(f5611,plain,
! [X0,X1] :
( ~ relation(relation_rng_restriction(X1,X0))
| subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5585]) ).
fof(f5612,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5611,f434]) ).
fof(f6232,plain,
( ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ in(sK54_skl,sK55_skl)
| ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ relation(sK53_skl) ),
inference(resolution,[status(thm)],[f827,f898]) ).
fof(f6237,plain,
! [X0,X1,X2] :
( in(X2,X0)
| ~ relation(X1)
| ~ in(X2,relation_rng(relation_rng_restriction(X0,X1)))
| ~ relation(relation_rng_restriction(X0,X1)) ),
inference(resolution,[status(thm)],[f827,f848]) ).
fof(f6265,plain,
( ~ in(sK54_skl,sK55_skl)
| ~ in(sK54_skl,relation_rng(sK53_skl))
| ~ relation(sK53_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f6232]) ).
fof(f6266,plain,
( ~ in(sK54_skl,sK55_skl)
| ~ in(sK54_skl,relation_rng(sK53_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6265,f559]) ).
fof(f6273,plain,
! [X0,X1,X2] :
( in(X0,X1)
| ~ relation(X2)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6237,f434]) ).
fof(f6346,plain,
! [X0] :
( ~ subset(X0,sK53_skl)
| ~ relation(sK53_skl)
| ~ relation(X0)
| ~ in(sK54_skl,relation_rng(X0))
| ~ in(sK54_skl,sK55_skl) ),
inference(resolution,[status(thm)],[f6266,f3715]) ).
fof(f6347,plain,
! [X0] :
( ~ subset(X0,sK53_skl)
| ~ relation(X0)
| ~ in(sK54_skl,relation_rng(X0))
| ~ in(sK54_skl,sK55_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f6346,f559]) ).
fof(f6348,plain,
( in(sK54_skl,relation_rng(sK53_skl))
| ~ subset(relation_rng_restriction(sK55_skl,sK53_skl),sK53_skl)
| ~ relation(relation_rng_restriction(sK55_skl,sK53_skl))
| ~ in(sK54_skl,sK55_skl) ),
inference(resolution,[status(thm)],[f6347,f561]) ).
fof(f6364,plain,
( ~ subset(relation_rng_restriction(sK55_skl,sK53_skl),sK53_skl)
| ~ relation(relation_rng_restriction(sK55_skl,sK53_skl))
| ~ in(sK54_skl,sK55_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f6348,f6266]) ).
fof(f6761,plain,
( ~ relation(sK53_skl)
| ~ relation(relation_rng_restriction(sK55_skl,sK53_skl))
| ~ in(sK54_skl,sK55_skl) ),
inference(resolution,[status(thm)],[f6364,f5612]) ).
fof(f6763,plain,
( ~ relation(sK53_skl)
| ~ in(sK54_skl,sK55_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f6761,f434]) ).
fof(f6768,plain,
in(sK54_skl,relation_rng(relation_rng_restriction(sK55_skl,sK53_skl))),
inference(backward_subsumption_resolution,[status(thm)],[f560,f6769]) ).
fof(f6769,plain,
~ in(sK54_skl,sK55_skl),
inference(forward_subsumption_resolution,[status(thm)],[f6763,f559]) ).
fof(f10172,plain,
( in(sK54_skl,sK55_skl)
| ~ relation(sK53_skl) ),
inference(resolution,[status(thm)],[f6273,f6768]) ).
fof(f10178,plain,
in(sK54_skl,sK55_skl),
inference(forward_subsumption_resolution,[status(thm)],[f10172,f559]) ).
fof(f10187,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10178,f6769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU197+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:58:46 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 26.94/3.90 % Refutation found
% 26.94/3.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.94/3.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.11/3.95 % Elapsed time: 3.578354 seconds
% 25.11/3.95 % CPU time: 28.004367 seconds
% 25.11/3.95 % Total memory used: 332.675 MB
% 25.11/3.95 % Net memory used: 292.297 MB
%------------------------------------------------------------------------------