%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:19:13 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 47 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 14 |; 7 &)
% ( 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 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [A,B] : symmetric_difference(A,B) = set_union2(set_difference(A,B),set_difference(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] :
( finite(A)
=> finite(set_difference(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( ( finite(B)
& finite(A) )
=> finite(set_union2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,conjecture,
! [A,B] :
( ( finite(B)
& finite(A) )
=> finite(symmetric_difference(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
~ ! [A,B] :
( ( finite(B)
& finite(A) )
=> finite(symmetric_difference(A,B)) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f111,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f114,plain,
! [A,B] :
( finite(set_difference(A,B))
| ~ finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f115,plain,
! [A] :
( ! [B] : finite(set_difference(A,B))
| ~ finite(A) ),
inference(miniscoping,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f143,plain,
! [A,B] :
( finite(set_union2(A,B))
| ~ finite(B)
| ~ finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f144,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f269,plain,
? [A,B] :
( ~ finite(symmetric_difference(A,B))
& finite(B)
& finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f270,plain,
( ~ finite(symmetric_difference(sK26_skl,sK27_skl))
& finite(sK27_skl)
& finite(sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl)],[f269]) ).
fof(f271,plain,
finite(sK26_skl),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
finite(sK27_skl),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f273,plain,
~ finite(symmetric_difference(sK26_skl,sK27_skl)),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f380,plain,
! [X0,X1] :
( finite(symmetric_difference(X0,X1))
| ~ finite(set_difference(X1,X0))
| ~ finite(set_difference(X0,X1)) ),
inference(paramodulation,[status(thm)],[f111,f144]) ).
fof(f391,plain,
! [X0,X1] :
( ~ finite(X1)
| finite(symmetric_difference(X0,X1))
| ~ finite(set_difference(X0,X1)) ),
inference(resolution,[status(thm)],[f380,f116]) ).
fof(f398,plain,
! [X0,X1] :
( ~ finite(X0)
| ~ finite(X1)
| finite(symmetric_difference(X0,X1)) ),
inference(resolution,[status(thm)],[f391,f116]) ).
fof(f399,plain,
( ~ finite(sK26_skl)
| ~ finite(sK27_skl) ),
inference(resolution,[status(thm)],[f398,f273]) ).
fof(f404,plain,
~ finite(sK26_skl),
inference(forward_subsumption_resolution,[status(thm)],[f399,f272]) ).
fof(f417,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f404,f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 05:55:58 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.46 % Refutation found
% 0.15/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.50 % Elapsed time: 0.068582 seconds
% 0.15/0.50 % CPU time: 0.176403 seconds
% 0.15/0.50 % Total memory used: 43.813 MB
% 0.15/0.50 % Net memory used: 43.735 MB
%------------------------------------------------------------------------------