%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU199+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.16s 10.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 142 ( 9 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 179 ( 71 ~; 70 |; 24 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 86 ( 76 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f43,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)],[f4]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f44]) ).
fof(f46,plain,
! [B] :
( ! [C] :
( ( ! [A] :
( ( ( ( in(ordered_pair(sK0_skl(A,C,B),sK1_skl(A,C,B)),B)
& in(sK1_skl(A,C,B),A) )
| in(ordered_pair(sK0_skl(A,C,B),sK1_skl(A,C,B)),C) )
& ( ~ in(ordered_pair(sK0_skl(A,C,B),sK1_skl(A,C,B)),B)
| ~ in(sK1_skl(A,C,B),A)
| ~ in(ordered_pair(sK0_skl(A,C,B),sK1_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,[sK0_skl,sK1_skl]),skolemize(D,sK0_skl(A,C,B)),skolemize(E,sK1_skl(A,C,B))],[f45]) ).
fof(f48,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)],[f46]) ).
fof(f53,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)],[f5]) ).
fof(f54,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)],[f53]) ).
fof(f55,plain,
! [A] :
( ! [B] :
( ( ( ( ~ in(ordered_pair(sK2_skl(B,A),sK3_skl(B,A)),B)
& in(ordered_pair(sK2_skl(B,A),sK3_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,[sK2_skl,sK3_skl]),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f54]) ).
fof(f57,plain,
! [X0,X1] :
( in(ordered_pair(sK2_skl(X1,X0),sK3_skl(X1,X0)),X0)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2_skl(X1,X0),sK3_skl(X1,X0)),X1)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f60,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f61,plain,
! [B] :
( ! [A] : relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f91,plain,
? [A,B] :
( ~ subset(relation_rng_restriction(A,B),B)
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f92,plain,
? [B] :
( ? [A] : ~ subset(relation_rng_restriction(A,B),B)
& relation(B) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
( ~ subset(relation_rng_restriction(sK12_skl,sK11_skl),sK11_skl)
& relation(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(B,sK11_skl),skolemize(A,sK12_skl)],[f92]) ).
fof(f94,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
~ subset(relation_rng_restriction(sK12_skl,sK11_skl),sK11_skl),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f119,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)],[f48]) ).
fof(f123,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)],[f119,f62]) ).
fof(f143,plain,
( in(ordered_pair(sK2_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl)),sK3_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ relation(sK11_skl)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f57,f95]) ).
fof(f144,plain,
( in(ordered_pair(sK2_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl)),sK3_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ relation(sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f62]) ).
fof(f150,plain,
in(ordered_pair(sK2_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl)),sK3_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f144,f94]) ).
fof(f152,plain,
( in(ordered_pair(sK2_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl)),sK3_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f150,f123]) ).
fof(f157,plain,
in(ordered_pair(sK2_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl)),sK3_skl(sK11_skl,relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl),
inference(forward_subsumption_resolution,[status(thm)],[f152,f94]) ).
fof(f165,plain,
( subset(relation_rng_restriction(sK12_skl,sK11_skl),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f157,f58]) ).
fof(f169,plain,
( subset(relation_rng_restriction(sK12_skl,sK11_skl),sK11_skl)
| ~ relation(sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f62]) ).
fof(f173,plain,
subset(relation_rng_restriction(sK12_skl,sK11_skl),sK11_skl),
inference(forward_subsumption_resolution,[status(thm)],[f169,f94]) ).
fof(f174,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f95,f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU199+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.43 % Computer : n008.cluster.edu
% 0.16/10.43 % Model : x86_64 x86_64
% 0.16/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43 % Memory : 8046.5625MB
% 0.16/10.43 % OS : Linux 6.8.0-71-generic
% 0.16/10.43 % CPULimit : 300
% 0.16/10.43 % WCLimit : 300
% 0.16/10.43 % DateTime : Mon Sep 21 05:58:05 UTC 2026
% 0.16/10.43 % CPUTime :
% 0.16/10.45 % Drodi V4.1.1
% 0.16/10.47 % Refutation found
% 0.16/10.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/10.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/10.49 % Elapsed time: 0.054228 seconds
% 0.16/10.49 % CPU time: 0.146914 seconds
% 0.16/10.49 % Total memory used: 51.551 MB
% 0.16/10.49 % Net memory used: 51.496 MB
%------------------------------------------------------------------------------