%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV371+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 : 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 02:47:31 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 13 |; 7 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [U,V] :
( pi_sharp_find_min(U,V)
<=> ( issmallestelement_pq(U,V)
& contains_pq(U,V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,lemma,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,lemma,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,conjecture,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
~ ! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f204,plain,
! [U,V] :
( ( ~ issmallestelement_pq(U,V)
| ~ contains_pq(U,V)
| pi_sharp_find_min(U,V) )
& ( ( issmallestelement_pq(U,V)
& contains_pq(U,V) )
| ~ pi_sharp_find_min(U,V) ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f205,plain,
( ! [U,V] :
( ~ issmallestelement_pq(U,V)
| ~ contains_pq(U,V)
| pi_sharp_find_min(U,V) )
& ! [U,V] :
( ( issmallestelement_pq(U,V)
& contains_pq(U,V) )
| ~ pi_sharp_find_min(U,V) ) ),
inference(miniscoping,[status(thm)],[f204]) ).
fof(f208,plain,
! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1)
| pi_sharp_find_min(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f231,plain,
! [U,V,W] :
( contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))
| ~ phi(findmin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f232,plain,
! [X0,X1,X2] :
( contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
! [U,V,W] :
( issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))
| ~ phi(findmin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f234,plain,
! [X0,X1,X2] :
( issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
? [U,V,W] :
( ~ pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))
& phi(findmin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(thm)],[f66]) ).
fof(f236,plain,
( ~ pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))
& phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl)],[f235]) ).
fof(f237,plain,
phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl))),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
~ pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f245,plain,
contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))),
inference(resolution,[status(thm)],[f232,f237]) ).
fof(f247,plain,
( ~ issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))
| pi_sharp_find_min(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))) ),
inference(resolution,[status(thm)],[f245,f208]) ).
fof(f249,plain,
~ issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f247,f238]) ).
fof(f255,plain,
issmallestelement_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))),
inference(resolution,[status(thm)],[f234,f237]) ).
fof(f256,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f255,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV371+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:43:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % 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
% 0.13/0.42 % Elapsed time: 0.050891 seconds
% 0.13/0.42 % CPU time: 0.142609 seconds
% 0.13/0.42 % Total memory used: 78.613 MB
% 0.13/0.42 % Net memory used: 78.552 MB
%------------------------------------------------------------------------------