%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV412+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 : n019.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 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 7 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,lemma,
! [U,V,W,X] :
( ( strictly_less_than(W,X)
& pair_in_list(U,V,W) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
! [U,V,W,X] :
( ( strictly_less_than(W,X)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ! [U,V,W,X] :
( ( strictly_less_than(W,X)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) )
=> pair_in_list(update_slb(U,X),V,X) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f63,plain,
! [U,V,W,X] :
( pair_in_list(update_slb(U,X),V,X)
| ~ strictly_less_than(W,X)
| ~ pair_in_list(U,V,W) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f64,plain,
! [U,V,X] :
( pair_in_list(update_slb(U,X),V,X)
| ! [W] :
( ~ strictly_less_than(W,X)
| ~ pair_in_list(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
? [U,V,W,X] :
( ~ pair_in_list(update_slb(U,X),V,X)
& strictly_less_than(W,X)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f67,plain,
? [U,V,X] :
( ~ pair_in_list(update_slb(U,X),V,X)
& ? [W] :
( strictly_less_than(W,X)
& strictly_less_than(V,X)
& pair_in_list(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
( ~ pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,sK2_skl)
& strictly_less_than(sK3_skl,sK2_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)],[f67]) ).
fof(f69,plain,
pair_in_list(sK0_skl,sK1_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
strictly_less_than(sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f72,plain,
~ pair_in_list(update_slb(sK0_skl,sK2_skl),sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f95,plain,
! [X0] :
( ~ strictly_less_than(X0,sK2_skl)
| ~ pair_in_list(sK0_skl,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f65,f72]) ).
fof(f96,plain,
~ strictly_less_than(sK3_skl,sK2_skl),
inference(resolution,[status(thm)],[f95,f69]) ).
fof(f97,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f96,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV412+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:45:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.42 % Elapsed time: 0.054634 seconds
% 0.02/0.42 % CPU time: 0.154428 seconds
% 0.02/0.42 % Total memory used: 92.324 MB
% 0.02/0.42 % Net memory used: 92.120 MB
%------------------------------------------------------------------------------