%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU139+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 : n017.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 02:19:21 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 54 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 17 |; 14 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( proper_subset(A,B)
<=> ( A != B
& subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,conjecture,
! [A,B] :
~ ( proper_subset(B,A)
& subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
~ ! [A,B] :
~ ( proper_subset(B,A)
& subset(A,B) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f63,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f64,plain,
( ! [A,B] :
( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ! [A,B] :
( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f67,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f111,plain,
! [A,B] :
( ( A = B
| ~ subset(A,B)
| proper_subset(A,B) )
& ( ( A != B
& subset(A,B) )
| ~ proper_subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f112,plain,
( ! [A,B] :
( A = B
| ~ subset(A,B)
| proper_subset(A,B) )
& ! [A,B] :
( ( A != B
& subset(A,B) )
| ~ proper_subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f190,plain,
? [A,B] :
( proper_subset(B,A)
& subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f191,plain,
( proper_subset(sK11_skl,sK10_skl)
& subset(sK10_skl,sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(A,sK10_skl),skolemize(B,sK11_skl)],[f190]) ).
fof(f192,plain,
subset(sK10_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
proper_subset(sK11_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f217,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f114]) ).
fof(f219,plain,
( ~ subset(sK11_skl,sK10_skl)
| sK11_skl = sK10_skl ),
inference(resolution,[status(thm)],[f67,f192]) ).
fof(f231,plain,
subset(sK11_skl,sK10_skl),
inference(resolution,[status(thm)],[f113,f193]) ).
fof(f232,plain,
sK11_skl = sK10_skl,
inference(backward_subsumption_resolution,[status(thm)],[f219,f231]) ).
fof(f237,plain,
proper_subset(sK10_skl,sK10_skl),
inference(backward_demodulation,[status(thm)],[f232,f193]) ).
fof(f239,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f237,f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:47:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.038949 seconds
% 0.14/0.41 % CPU time: 0.072637 seconds
% 0.14/0.41 % Total memory used: 9.774 MB
% 0.14/0.41 % Net memory used: 9.770 MB
%------------------------------------------------------------------------------