%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU374+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 : 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 02:20:20 PM UTC 2026
% Result : Theorem 8.08s 1.51s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 19 unt; 0 def)
% Number of atoms : 186 ( 20 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 220 ( 81 ~; 76 |; 31 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 76 ( 69 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f269,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f276,axiom,
! [A,B] :
( ( net_str(B,A)
& one_sorted_str(A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f605,conjecture,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( related(C,F,G)
& E = G
& D = F )
=> related(B,D,E) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f606,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( related(C,F,G)
& E = G
& D = F )
=> related(B,D,E) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f605]) ).
fof(f724,lemma,
! [A] :
( rel_str(A)
=> ! [B] :
( subrelstr(B,A)
=> ! [C] :
( element(C,the_carrier(A))
=> ! [D] :
( element(D,the_carrier(A))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(B))
=> ( ( related(B,E,F)
& F = D
& E = C )
=> related(A,C,D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1784,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( subnetstr(C,A,B)
<=> ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) ) )
| ~ net_str(C,A) )
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f179]) ).
fof(f1785,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( the_mapping(A,C) != relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
| ~ subrelstr(C,B)
| subnetstr(C,A,B) )
& ( ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) )
| ~ subnetstr(C,A,B) ) )
| ~ net_str(C,A) )
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(NNF_transformation,[status(thm)],[f1784]) ).
fof(f1786,plain,
! [X0,X1,X2] :
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(thm)],[f1785]) ).
fof(f1961,plain,
! [A] :
( ! [B] :
( rel_str(B)
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f269]) ).
fof(f1962,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(thm)],[f1961]) ).
fof(f1972,plain,
! [A,B] :
( ! [C] :
( net_str(C,A)
| ~ subnetstr(C,A,B) )
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f276]) ).
fof(f1973,plain,
! [X0,X1,X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(thm)],[f1972]) ).
fof(f3634,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ? [G] :
( ~ related(B,D,E)
& related(C,F,G)
& E = G
& D = F
& element(G,the_carrier(C)) )
& element(F,the_carrier(C)) )
& element(E,the_carrier(B)) )
& element(D,the_carrier(B)) )
& subnetstr(C,A,B) )
& net_str(B,A) )
& one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f606]) ).
fof(f3635,plain,
( ~ related(sK410_skl,sK412_skl,sK413_skl)
& related(sK411_skl,sK414_skl,sK415_skl)
& sK413_skl = sK415_skl
& sK412_skl = sK414_skl
& element(sK415_skl,the_carrier(sK411_skl))
& element(sK414_skl,the_carrier(sK411_skl))
& element(sK413_skl,the_carrier(sK410_skl))
& element(sK412_skl,the_carrier(sK410_skl))
& subnetstr(sK411_skl,sK409_skl,sK410_skl)
& net_str(sK410_skl,sK409_skl)
& one_sorted_str(sK409_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK409_skl,sK410_skl,sK411_skl,sK412_skl,sK413_skl,sK414_skl,sK415_skl]),skolemize(A,sK409_skl),skolemize(B,sK410_skl),skolemize(C,sK411_skl),skolemize(D,sK412_skl),skolemize(E,sK413_skl),skolemize(F,sK414_skl),skolemize(G,sK415_skl)],[f3634]) ).
fof(f3636,plain,
one_sorted_str(sK409_skl),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3637,plain,
net_str(sK410_skl,sK409_skl),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3638,plain,
subnetstr(sK411_skl,sK409_skl,sK410_skl),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3639,plain,
element(sK412_skl,the_carrier(sK410_skl)),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3640,plain,
element(sK413_skl,the_carrier(sK410_skl)),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3641,plain,
element(sK414_skl,the_carrier(sK411_skl)),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3642,plain,
element(sK415_skl,the_carrier(sK411_skl)),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3643,plain,
sK412_skl = sK414_skl,
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3644,plain,
sK413_skl = sK415_skl,
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3645,plain,
related(sK411_skl,sK414_skl,sK415_skl),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f3646,plain,
~ related(sK410_skl,sK412_skl,sK413_skl),
inference(cnf_transformation,[status(thm)],[f3635]) ).
fof(f4047,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( related(A,C,D)
| ~ related(B,E,F)
| F != D
| E != C
| ~ element(F,the_carrier(B)) )
| ~ element(E,the_carrier(B)) )
| ~ element(D,the_carrier(A)) )
| ~ element(C,the_carrier(A)) )
| ~ subrelstr(B,A) )
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f724]) ).
fof(f4048,plain,
! [X0,X1,X2,X3,X4,X5] :
( related(X0,X2,X3)
| ~ related(X1,X4,X5)
| X5 != X3
| X4 != X2
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f4047]) ).
fof(f4843,plain,
! [X0,X1,X2,X3] :
( related(X0,X2,X3)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f4048]) ).
fof(f4947,plain,
element(sK412_skl,the_carrier(sK411_skl)),
inference(forward_demodulation,[status(thm)],[f3643,f3641]) ).
fof(f4948,plain,
element(sK413_skl,the_carrier(sK411_skl)),
inference(forward_demodulation,[status(thm)],[f3644,f3642]) ).
fof(f4949,plain,
related(sK411_skl,sK412_skl,sK415_skl),
inference(forward_demodulation,[status(thm)],[f3643,f3645]) ).
fof(f4950,plain,
related(sK411_skl,sK412_skl,sK413_skl),
inference(forward_demodulation,[status(thm)],[f3644,f4949]) ).
fof(f4951,plain,
( rel_str(sK410_skl)
| ~ one_sorted_str(sK409_skl) ),
inference(resolution,[status(thm)],[f1962,f3637]) ).
fof(f4952,plain,
rel_str(sK410_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4951,f3636]) ).
fof(f4958,plain,
! [X0,X1,X2] :
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1786,f1973]) ).
fof(f4959,plain,
( subrelstr(sK411_skl,sK410_skl)
| ~ net_str(sK410_skl,sK409_skl)
| ~ one_sorted_str(sK409_skl) ),
inference(resolution,[status(thm)],[f4958,f3638]) ).
fof(f4960,plain,
( subrelstr(sK411_skl,sK410_skl)
| ~ net_str(sK410_skl,sK409_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4959,f3636]) ).
fof(f4970,plain,
subrelstr(sK411_skl,sK410_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4960,f3637]) ).
fof(f6107,plain,
! [X0] :
( related(X0,sK412_skl,sK413_skl)
| ~ element(sK413_skl,the_carrier(sK411_skl))
| ~ element(sK412_skl,the_carrier(sK411_skl))
| ~ element(sK413_skl,the_carrier(X0))
| ~ element(sK412_skl,the_carrier(X0))
| ~ subrelstr(sK411_skl,X0)
| ~ rel_str(X0) ),
inference(resolution,[status(thm)],[f4843,f4950]) ).
fof(f6162,plain,
! [X0] :
( related(X0,sK412_skl,sK413_skl)
| ~ element(sK413_skl,the_carrier(sK411_skl))
| ~ element(sK413_skl,the_carrier(X0))
| ~ element(sK412_skl,the_carrier(X0))
| ~ subrelstr(sK411_skl,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6107,f4947]) ).
fof(f6217,plain,
! [X0] :
( related(X0,sK412_skl,sK413_skl)
| ~ element(sK413_skl,the_carrier(X0))
| ~ element(sK412_skl,the_carrier(X0))
| ~ subrelstr(sK411_skl,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6162,f4948]) ).
fof(f6219,plain,
( related(sK410_skl,sK412_skl,sK413_skl)
| ~ element(sK412_skl,the_carrier(sK410_skl))
| ~ subrelstr(sK411_skl,sK410_skl)
| ~ rel_str(sK410_skl) ),
inference(resolution,[status(thm)],[f6217,f3640]) ).
fof(f6235,plain,
( related(sK410_skl,sK412_skl,sK413_skl)
| ~ element(sK412_skl,the_carrier(sK410_skl))
| ~ subrelstr(sK411_skl,sK410_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f6219,f4952]) ).
fof(f6254,plain,
( related(sK410_skl,sK412_skl,sK413_skl)
| ~ element(sK412_skl,the_carrier(sK410_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6235,f4970]) ).
fof(f6255,plain,
~ element(sK412_skl,the_carrier(sK410_skl)),
inference(resolution,[status(thm)],[f6254,f3646]) ).
fof(f6267,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6255,f3639]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU374+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 06:17:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.45 % Drodi V4.1.1
% 8.08/1.51 % Refutation found
% 8.08/1.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.08/1.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.08/1.55 % Elapsed time: 1.194669 seconds
% 8.08/1.55 % CPU time: 8.407899 seconds
% 8.08/1.55 % Total memory used: 295.402 MB
% 8.08/1.55 % Net memory used: 289.201 MB
%------------------------------------------------------------------------------