%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV395+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 : n005.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 6 ~; 0 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,conjecture,
! [U,V,W,X] :
( ( ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) )
=> pair_in_list(remove_slb(create_slb,W),W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
~ ! [U,V,W,X] :
( ( ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) )
=> pair_in_list(remove_slb(create_slb,W),W,X) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f63,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f144,plain,
? [U,V,W,X] :
( ~ pair_in_list(remove_slb(create_slb,W),W,X)
& ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f145,plain,
? [W,X] :
( ~ pair_in_list(remove_slb(create_slb,W),W,X)
& ? [U,V] : ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
( ~ pair_in_list(remove_slb(create_slb,sK0_skl),sK0_skl,sK1_skl)
& ok(remove_cpq(triple(sK2_skl,create_slb,sK3_skl),sK0_skl))
& strictly_less_than(sK0_skl,sK1_skl)
& pair_in_list(create_slb,sK0_skl,sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(W,sK0_skl),skolemize(X,sK1_skl),skolemize(U,sK2_skl),skolemize(V,sK3_skl)],[f145]) ).
fof(f147,plain,
pair_in_list(create_slb,sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f155,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f147,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:44:17 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.048868 seconds
% 0.13/0.41 % CPU time: 0.138215 seconds
% 0.13/0.41 % Total memory used: 102.965 MB
% 0.13/0.41 % Net memory used: 102.910 MB
%------------------------------------------------------------------------------