%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU317+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 : n014.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 02:20:08 PM UTC 2026
% Result : Theorem 2.92s 0.83s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 189 ( 75 ~; 78 |; 21 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 84 ( 79 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( in(C,the_carrier(A))
=> ( in(C,topstr_closure(A,B))
<=> ! [D] :
( element(D,powerset(the_carrier(A)))
=> ( ( subset(B,D)
& closed_subset(D,A) )
=> in(C,D) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,conjecture,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset(B,topstr_closure(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
~ ! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset(B,topstr_closure(A,B)) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f101,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,B)
| ~ in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f102,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
( ! [A,B] :
( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [A,B] :
( ( ~ in(sK0_skl(B,A),B)
& in(sK0_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( in(sK0_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(sK0_skl(X1,X0),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f145,plain,
! [A,B] :
( ( ~ subset(A,B)
| element(A,powerset(B)) )
& ( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(NNF_transformation,[status(thm)],[f36]) ).
fof(f146,plain,
( ! [A,B] :
( ~ subset(A,B)
| element(A,powerset(B)) )
& ! [A,B] :
( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f149,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( in(C,topstr_closure(A,B))
<=> ! [D] :
( in(C,D)
| ~ subset(B,D)
| ~ closed_subset(D,A)
| ~ element(D,powerset(the_carrier(A))) ) )
| ~ in(C,the_carrier(A)) )
| ~ element(B,powerset(the_carrier(A))) )
| ~ top_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f150,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ in(C,D)
& subset(B,D)
& closed_subset(D,A)
& element(D,powerset(the_carrier(A))) )
| in(C,topstr_closure(A,B)) )
& ( ! [D] :
( in(C,D)
| ~ subset(B,D)
| ~ closed_subset(D,A)
| ~ element(D,powerset(the_carrier(A))) )
| ~ in(C,topstr_closure(A,B)) ) )
| ~ in(C,the_carrier(A)) )
| ~ element(B,powerset(the_carrier(A))) )
| ~ top_str(A) ),
inference(NNF_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( ~ in(C,sK7_skl(C,B,A))
& subset(B,sK7_skl(C,B,A))
& closed_subset(sK7_skl(C,B,A),A)
& element(sK7_skl(C,B,A),powerset(the_carrier(A))) )
| in(C,topstr_closure(A,B)) )
& ( ! [D] :
( in(C,D)
| ~ subset(B,D)
| ~ closed_subset(D,A)
| ~ element(D,powerset(the_carrier(A))) )
| ~ in(C,topstr_closure(A,B)) ) )
| ~ in(C,the_carrier(A)) )
| ~ element(B,powerset(the_carrier(A))) )
| ~ top_str(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(D,sK7_skl(C,B,A))],[f150]) ).
fof(f155,plain,
! [X0,X1,X2] :
( subset(X1,sK7_skl(X2,X1,X0))
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ in(X2,sK7_skl(X2,X1,X0))
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f157,plain,
? [A] :
( ? [B] :
( ~ subset(B,topstr_closure(A,B))
& element(B,powerset(the_carrier(A))) )
& top_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f158,plain,
( ~ subset(sK9_skl,topstr_closure(sK8_skl,sK9_skl))
& element(sK9_skl,powerset(the_carrier(sK8_skl)))
& top_str(sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f157]) ).
fof(f159,plain,
top_str(sK8_skl),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
element(sK9_skl,powerset(the_carrier(sK8_skl))),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f161,plain,
~ subset(sK9_skl,topstr_closure(sK8_skl,sK9_skl)),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f177,plain,
subset(sK9_skl,the_carrier(sK8_skl)),
inference(resolution,[status(thm)],[f147,f160]) ).
fof(f178,plain,
! [X0] :
( in(X0,the_carrier(sK8_skl))
| ~ in(X0,sK9_skl) ),
inference(resolution,[status(thm)],[f177,f105]) ).
fof(f470,plain,
! [X0,X1,X2,X3] :
( in(X3,sK7_skl(X2,X1,X0))
| ~ in(X3,X1)
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[status(thm)],[f155,f105]) ).
fof(f600,plain,
! [X0,X1,X2] :
( in(X2,sK7_skl(X1,X0,sK8_skl))
| ~ in(X2,X0)
| in(X1,topstr_closure(sK8_skl,X0))
| ~ in(X1,the_carrier(sK8_skl))
| ~ element(X0,powerset(the_carrier(sK8_skl))) ),
inference(resolution,[status(thm)],[f470,f159]) ).
fof(f644,plain,
! [X0,X1] :
( in(X1,topstr_closure(sK8_skl,X0))
| ~ in(X1,the_carrier(sK8_skl))
| ~ element(X0,powerset(the_carrier(sK8_skl)))
| ~ top_str(sK8_skl)
| ~ in(X1,X0)
| in(X1,topstr_closure(sK8_skl,X0))
| ~ in(X1,the_carrier(sK8_skl))
| ~ element(X0,powerset(the_carrier(sK8_skl))) ),
inference(resolution,[status(thm)],[f600,f156]) ).
fof(f648,plain,
! [X0,X1] :
( ~ top_str(sK8_skl)
| ~ in(X1,X0)
| in(X1,topstr_closure(sK8_skl,X0))
| ~ in(X1,the_carrier(sK8_skl))
| ~ element(X0,powerset(the_carrier(sK8_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f644]) ).
fof(f649,plain,
! [X0,X1] :
( ~ in(X1,X0)
| in(X1,topstr_closure(sK8_skl,X0))
| ~ in(X1,the_carrier(sK8_skl))
| ~ element(X0,powerset(the_carrier(sK8_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f159]) ).
fof(f1261,plain,
! [X0] :
( ~ in(X0,sK9_skl)
| in(X0,topstr_closure(sK8_skl,sK9_skl))
| ~ in(X0,the_carrier(sK8_skl)) ),
inference(resolution,[status(thm)],[f649,f160]) ).
fof(f1269,plain,
! [X0] :
( ~ in(X0,sK9_skl)
| in(X0,topstr_closure(sK8_skl,sK9_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f178]) ).
fof(f1331,plain,
! [X0] :
( subset(sK9_skl,X0)
| in(sK0_skl(X0,sK9_skl),topstr_closure(sK8_skl,sK9_skl)) ),
inference(resolution,[status(thm)],[f1269,f106]) ).
fof(f1774,plain,
( subset(sK9_skl,topstr_closure(sK8_skl,sK9_skl))
| subset(sK9_skl,topstr_closure(sK8_skl,sK9_skl)) ),
inference(resolution,[status(thm)],[f1331,f107]) ).
fof(f1783,plain,
subset(sK9_skl,topstr_closure(sK8_skl,sK9_skl)),
inference(duplicate_literals_removal,[status(thm)],[f1774]) ).
fof(f1784,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1783,f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU317+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 21 06:10:20 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.16/0.41 % Drodi V4.1.1
% 2.92/0.83 % Refutation found
% 2.92/0.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.92/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.29/0.87 % Elapsed time: 0.457193 seconds
% 2.29/0.87 % CPU time: 3.296941 seconds
% 2.29/0.87 % Total memory used: 109.740 MB
% 2.29/0.87 % Net memory used: 106.128 MB
%------------------------------------------------------------------------------