%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV392+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:47:34 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 2 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( U = W
| pair_in_list(remove_slb(create_slb,W),U,V) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( U = W
| pair_in_list(remove_slb(create_slb,W),U,V) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f34,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f62,plain,
? [U,V] :
( ? [W] :
( U != W
& ~ pair_in_list(remove_slb(create_slb,W),U,V)
& contains_slb(create_slb,W) )
& pair_in_list(create_slb,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f63,plain,
( sK0_skl != sK2_skl
& ~ pair_in_list(remove_slb(create_slb,sK2_skl),sK0_skl,sK1_skl)
& contains_slb(create_slb,sK2_skl)
& pair_in_list(create_slb,sK0_skl,sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl)],[f62]) ).
fof(f65,plain,
contains_slb(create_slb,sK2_skl),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f71,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f65,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV392+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:46:43 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.043309 seconds
% 0.12/0.42 % CPU time: 0.133293 seconds
% 0.12/0.42 % Total memory used: 101.815 MB
% 0.12/0.42 % Net memory used: 101.586 MB
%------------------------------------------------------------------------------