%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU373+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 : n011.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 02:20:19 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 7 unt; 5 def)
% Number of atoms : 161 ( 4 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 185 ( 75 ~; 71 |; 15 &)
% ( 9 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 54 ( 51 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( ( net_str(B,A)
& one_sorted_str(A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,conjecture,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f74,plain,
! [A] :
( ! [B] :
( ( subrelstr(B,A)
<=> ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) ) )
| ~ rel_str(B) )
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f75,plain,
! [A] :
( ! [B] :
( ( ( ~ subset(the_InternalRel(B),the_InternalRel(A))
| ~ subset(the_carrier(B),the_carrier(A))
| subrelstr(B,A) )
& ( ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) )
| ~ subrelstr(B,A) ) )
| ~ rel_str(B) )
| ~ rel_str(A) ),
inference(NNF_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,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)],[f7]) ).
fof(f80,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)],[f79]) ).
fof(f81,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)],[f80]) ).
fof(f92,plain,
! [A] :
( ! [B] :
( rel_str(B)
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f93,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f96,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)],[f19]) ).
fof(f97,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)],[f96]) ).
fof(f185,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ subset(the_carrier(C),the_carrier(B))
& subnetstr(C,A,B) )
& net_str(B,A) )
& one_sorted_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f186,plain,
( ~ subset(the_carrier(sK20_skl),the_carrier(sK19_skl))
& subnetstr(sK20_skl,sK18_skl,sK19_skl)
& net_str(sK19_skl,sK18_skl)
& one_sorted_str(sK18_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl]),skolemize(A,sK18_skl),skolemize(B,sK19_skl),skolemize(C,sK20_skl)],[f185]) ).
fof(f187,plain,
one_sorted_str(sK18_skl),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
net_str(sK19_skl,sK18_skl),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f189,plain,
subnetstr(sK20_skl,sK18_skl,sK19_skl),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f190,plain,
~ subset(the_carrier(sK20_skl),the_carrier(sK19_skl)),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f214,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)],[f81,f97]) ).
fof(f216,plain,
( ~ subrelstr(sK20_skl,sK19_skl)
| ~ rel_str(sK20_skl)
| ~ rel_str(sK19_skl) ),
inference(resolution,[status(thm)],[f76,f190]) ).
fof(f217,definition,
( sQ0_spl
<=> rel_str(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ0_spl
| ~ rel_str(sK19_skl) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ1_spl
<=> rel_str(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ1_spl
| ~ rel_str(sK20_skl) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ2_spl
<=> subrelstr(sK20_skl,sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( sQ2_spl
| ~ subrelstr(sK20_skl,sK19_skl) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f216,f217,f220,f223]) ).
fof(f227,plain,
! [X0] :
( sQ2_spl
| ~ subnetstr(sK20_skl,X0,sK19_skl)
| ~ net_str(sK19_skl,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[status(thm)],[f225,f214]) ).
fof(f237,plain,
! [X0] :
( sQ1_spl
| ~ net_str(sK20_skl,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[status(thm)],[f222,f93]) ).
fof(f238,plain,
! [X0,X1] :
( sQ1_spl
| ~ subnetstr(sK20_skl,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[status(thm)],[f237,f97]) ).
fof(f239,plain,
! [X0,X1] :
( sQ1_spl
| ~ subnetstr(sK20_skl,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ1_spl
| ~ net_str(sK19_skl,sK18_skl)
| ~ one_sorted_str(sK18_skl) ),
inference(resolution,[status(thm)],[f239,f189]) ).
fof(f241,definition,
( sQ5_spl
<=> one_sorted_str(sK18_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ5_spl
| ~ one_sorted_str(sK18_skl) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ6_spl
<=> net_str(sK19_skl,sK18_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ6_spl
| ~ net_str(sK19_skl,sK18_skl) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ1_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f240,f241,f244,f220]) ).
fof(f248,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f188]) ).
fof(f249,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f187]) ).
fof(f251,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
! [X0] :
( sQ0_spl
| ~ net_str(sK19_skl,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[status(thm)],[f219,f93]) ).
fof(f253,plain,
( sQ0_spl
| ~ one_sorted_str(sK18_skl) ),
inference(resolution,[status(thm)],[f252,f188]) ).
fof(f255,plain,
( sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f253,f241,f217]) ).
fof(f260,plain,
( sQ2_spl
| ~ net_str(sK19_skl,sK18_skl)
| ~ one_sorted_str(sK18_skl) ),
inference(resolution,[status(thm)],[f227,f189]) ).
fof(f261,plain,
( sQ2_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f260,f241,f244,f223]) ).
fof(f262,plain,
$false,
inference(sat_refutation,[status(thm)],[f226,f247,f249,f251,f255,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 06:16:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.038727 seconds
% 0.12/0.40 % CPU time: 0.070124 seconds
% 0.12/0.40 % Total memory used: 10.418 MB
% 0.12/0.40 % Net memory used: 10.415 MB
%------------------------------------------------------------------------------