%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV400+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 : n010.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 02:47:35 PM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 12 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [U,V,W,X] :
( ( less_than(X,W)
& pair_in_list(create_slb,V,W) )
=> pair_in_list(update_slb(create_slb,X),V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [U,V,W,X] :
( ( less_than(X,W)
& pair_in_list(create_slb,V,W) )
=> pair_in_list(update_slb(create_slb,X),V,W) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f40,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
? [U,V,W,X] :
( ~ pair_in_list(update_slb(create_slb,X),V,W)
& less_than(X,W)
& pair_in_list(create_slb,V,W) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f63,plain,
? [V,W,X] :
( ~ pair_in_list(update_slb(create_slb,X),V,W)
& less_than(X,W)
& pair_in_list(create_slb,V,W) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f64,plain,
( ~ pair_in_list(update_slb(create_slb,sK2_skl),sK0_skl,sK1_skl)
& less_than(sK2_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]),skolemize(V,sK0_skl),skolemize(W,sK1_skl),skolemize(X,sK2_skl)],[f63]) ).
fof(f65,plain,
pair_in_list(create_slb,sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f75,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f65,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV400+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n010.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 21 08:45:10 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.50 % Elapsed time: 0.065902 seconds
% 0.14/0.50 % CPU time: 0.186037 seconds
% 0.14/0.50 % Total memory used: 101.798 MB
% 0.14/0.50 % Net memory used: 101.552 MB
%------------------------------------------------------------------------------