%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU247+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 : n016.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 0.15s 10.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 32 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 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 : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [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/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f27,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)],[f9]) ).
fof(f28,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)],[f27]) ).
fof(f29,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)],[f28]) ).
fof(f30,plain,
! [A,B] :
( relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [B] :
( ! [A] : relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
? [A,B] :
( relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
? [B] :
( ? [A] : relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A))
& relation(B) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( relation_restriction(sK0_skl,sK1_skl) != relation_rng_restriction(sK1_skl,relation_dom_restriction(sK0_skl,sK1_skl))
& relation(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl),skolemize(A,sK1_skl)],[f34]) ).
fof(f36,plain,
relation(sK0_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
relation_restriction(sK0_skl,sK1_skl) != relation_rng_restriction(sK1_skl,relation_dom_restriction(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f41,plain,
! [X0,X1] : relation_dom_restriction(relation_rng_restriction(X0,sK0_skl),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK0_skl,X1)),
inference(resolution,[status(thm)],[f29,f36]) ).
fof(f42,plain,
relation_restriction(sK0_skl,sK1_skl) != relation_dom_restriction(relation_rng_restriction(sK1_skl,sK0_skl),sK1_skl),
inference(backward_demodulation,[status(thm)],[f41,f37]) ).
fof(f45,plain,
~ relation(sK0_skl),
inference(resolution,[status(thm)],[f42,f32]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f45,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.39 % Computer : n016.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Mon Sep 21 06:07:48 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.15/10.40 % Drodi V4.1.1
% 0.15/10.42 % Refutation found
% 0.15/10.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.45 % Elapsed time: 0.057244 seconds
% 0.15/10.45 % CPU time: 0.180793 seconds
% 0.15/10.45 % Total memory used: 66.528 MB
% 0.15/10.45 % Net memory used: 66.054 MB
%------------------------------------------------------------------------------