%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV413+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 : n015.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 02:47:36 PM UTC 2026
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 49 ( 19 ~; 11 |; 16 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,lemma,
! [U,V,W,X] :
( ( less_than(X,W)
& pair_in_list(U,V,W) )
=> pair_in_list(update_slb(U,X),V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
! [U,V,W,X] :
( ( less_than(X,W)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) )
=> ? [Y] :
( less_than(X,Y)
& pair_in_list(update_slb(U,X),V,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ! [U,V,W,X] :
( ( less_than(X,W)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) )
=> ? [Y] :
( less_than(X,Y)
& pair_in_list(update_slb(U,X),V,Y) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f63,plain,
! [U,V,W,X] :
( pair_in_list(update_slb(U,X),V,W)
| ~ less_than(X,W)
| ~ pair_in_list(U,V,W) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X2)
| ~ less_than(X3,X2)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
? [U,V,W,X] :
( ! [Y] :
( ~ less_than(X,Y)
| ~ pair_in_list(update_slb(U,X),V,Y) )
& less_than(X,W)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f66,plain,
? [U,V,X] :
( ! [Y] :
( ~ less_than(X,Y)
| ~ pair_in_list(update_slb(U,X),V,Y) )
& ? [W] :
( less_than(X,W)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f67,plain,
( ! [Y] :
( ~ less_than(sK2_skl,Y)
| ~ pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,Y) )
& less_than(sK2_skl,sK3_skl)
& strictly_less_than(sK1_skl,sK2_skl)
& pair_in_list(sK0_skl,sK1_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(X,sK2_skl),skolemize(W,sK3_skl)],[f66]) ).
fof(f68,plain,
pair_in_list(sK0_skl,sK1_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,plain,
less_than(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f71,plain,
! [X0] :
( ~ less_than(sK2_skl,X0)
| ~ pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f150,plain,
! [X0] :
( ~ less_than(sK2_skl,X0)
| ~ less_than(sK2_skl,X0)
| ~ pair_in_list(sK0_skl,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f64,f71]) ).
fof(f153,plain,
! [X0] :
( ~ less_than(sK2_skl,X0)
| ~ pair_in_list(sK0_skl,sK1_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f150]) ).
fof(f154,plain,
~ less_than(sK2_skl,sK3_skl),
inference(resolution,[status(thm)],[f153,f68]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f154,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV413+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n015.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 08:48:21 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.53 % Elapsed time: 0.070149 seconds
% 0.20/0.53 % CPU time: 0.125679 seconds
% 0.20/0.53 % Total memory used: 19.467 MB
% 0.20/0.53 % Net memory used: 19.424 MB
%------------------------------------------------------------------------------