%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU247+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 : n004.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 02:19:53 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 33 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 6 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,lemma,
! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,lemma,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f207,conjecture,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f208,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(negated_conjecture,[status(cth)],[f207]) ).
fof(f1046,plain,
! [A,B,C] :
( relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B))
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f191]) ).
fof(f1047,plain,
! [C] :
( ! [A,B] : relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B))
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f1046]) ).
fof(f1048,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X1,X0),X2) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f1047]) ).
fof(f1099,plain,
! [A,B] :
( relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f205]) ).
fof(f1100,plain,
! [B] :
( ! [A] : relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f1099]) ).
fof(f1101,plain,
! [X0,X1] :
( relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f1100]) ).
fof(f1103,plain,
? [A,B] :
( relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f208]) ).
fof(f1104,plain,
? [B] :
( ? [A] : relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A))
& relation(B) ),
inference(miniscoping,[status(thm)],[f1103]) ).
fof(f1105,plain,
( relation_restriction(sK103_skl,sK104_skl) != relation_rng_restriction(sK104_skl,relation_dom_restriction(sK103_skl,sK104_skl))
& relation(sK103_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103_skl,sK104_skl]),skolemize(B,sK103_skl),skolemize(A,sK104_skl)],[f1104]) ).
fof(f1106,plain,
relation(sK103_skl),
inference(cnf_transformation,[status(thm)],[f1105]) ).
fof(f1107,plain,
relation_restriction(sK103_skl,sK104_skl) != relation_rng_restriction(sK104_skl,relation_dom_restriction(sK103_skl,sK104_skl)),
inference(cnf_transformation,[status(thm)],[f1105]) ).
fof(f1551,plain,
! [X0] : relation_restriction(sK103_skl,X0) = relation_dom_restriction(relation_rng_restriction(X0,sK103_skl),X0),
inference(resolution,[status(thm)],[f1101,f1106]) ).
fof(f1604,plain,
! [X0,X1] : relation_dom_restriction(relation_rng_restriction(X0,sK103_skl),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK103_skl,X1)),
inference(resolution,[status(thm)],[f1048,f1106]) ).
fof(f1629,plain,
! [X0] : relation_restriction(sK103_skl,X0) = relation_rng_restriction(X0,relation_dom_restriction(sK103_skl,X0)),
inference(backward_demodulation,[status(thm)],[f1604,f1551]) ).
fof(f1637,plain,
relation_restriction(sK103_skl,sK104_skl) != relation_restriction(sK103_skl,sK104_skl),
inference(backward_demodulation,[status(thm)],[f1629,f1107]) ).
fof(f1648,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:03:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.103497 seconds
% 0.14/0.47 % CPU time: 0.290339 seconds
% 0.14/0.47 % Total memory used: 127.745 MB
% 0.14/0.47 % Net memory used: 127.276 MB
%------------------------------------------------------------------------------