%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET900+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 : n004.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 02:10:55 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 50 ( 40 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 17 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [A,B] :
~ ( ! [C] :
~ ( C != B
& in(C,A) )
& A != empty_set
& A != singleton(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [A,B] :
~ ( ! [C] :
~ ( C != B
& in(C,A) )
& A != empty_set
& A != singleton(B) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
! [A,B] :
~ ( ! [C] :
~ ( C != B
& in(C,A) )
& A != empty_set
& A != singleton(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
? [A,B] :
( ! [C] :
( C = B
| ~ in(C,A) )
& A != empty_set
& A != singleton(B) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
( ! [C] :
( C = sK3_skl
| ~ in(C,sK2_skl) )
& sK2_skl != empty_set
& sK2_skl != singleton(sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f15]) ).
fof(f17,plain,
sK2_skl != singleton(sK3_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
sK2_skl != empty_set,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( X0 = sK3_skl
| ~ in(X0,sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [A,B] :
( ? [C] :
( C != B
& in(C,A) )
| A = empty_set
| A = singleton(B) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f21,plain,
! [A,B] :
( ( sK4_skl(B,A) != B
& in(sK4_skl(B,A),A) )
| A = empty_set
| A = singleton(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(C,sK4_skl(B,A))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( in(sK4_skl(X1,X0),X0)
| X0 = empty_set
| X0 = singleton(X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( sK4_skl(X1,X0) != X1
| X0 = empty_set
| X0 = singleton(X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0] :
( sK4_skl(X0,sK2_skl) = sK3_skl
| sK2_skl = empty_set
| sK2_skl = singleton(X0) ),
inference(resolution,[status(thm)],[f22,f19]) ).
fof(f26,plain,
! [X0] :
( sK4_skl(X0,sK2_skl) = sK3_skl
| sK2_skl = singleton(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f18]) ).
fof(f32,plain,
( sK2_skl = singleton(sK3_skl)
| sK2_skl = empty_set
| sK2_skl = singleton(sK3_skl) ),
inference(resolution,[status(thm)],[f23,f26]) ).
fof(f34,plain,
( sK2_skl = empty_set
| sK2_skl = singleton(sK3_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f32]) ).
fof(f35,plain,
sK2_skl = empty_set,
inference(forward_subsumption_resolution,[status(thm)],[f34,f17]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f35,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET900+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 05:43:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.043505 seconds
% 0.13/0.41 % CPU time: 0.135542 seconds
% 0.13/0.41 % Total memory used: 79.768 MB
% 0.13/0.41 % Net memory used: 79.306 MB
%------------------------------------------------------------------------------