%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:07:41 PM UTC 2026
% Result : Theorem 19.73s 4.04s
% Output : CNFRefutation 19.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5206,hypothesis,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_c,B_s,v_n,B_s_H)
=> v_Q(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5207,hypothesis,
! [B_Z,B_s] :
( v_Q(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_d,B_s,v_n,B_s_H)
=> v_R(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5208,hypothesis,
v_P(v_Z,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5209,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5210,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5212,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(negated_conjecture,[status(cth)],[f5211]) ).
fof(f19795,plain,
! [B_Z,B_s] :
( ! [B_s_H] :
( v_Q(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_c,B_s,v_n,B_s_H) )
| ~ v_P(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5206]) ).
fof(f19796,plain,
! [X0,X1,X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19795]) ).
fof(f19797,plain,
! [B_Z,B_s] :
( ! [B_s_H] :
( v_R(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_d,B_s,v_n,B_s_H) )
| ~ v_Q(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5207]) ).
fof(f19798,plain,
! [X0,X1,X2] :
( v_R(X0,X2)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| ~ v_Q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19797]) ).
fof(f19799,plain,
v_P(v_Z,v_s),
inference(cnf_transformation,[status(thm)],[f5208]) ).
fof(f19800,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[status(thm)],[f5209]) ).
fof(f19801,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[status(thm)],[f5210]) ).
fof(f19802,plain,
~ v_R(v_Z,v_s_H),
inference(cnf_transformation,[status(thm)],[f5212]) ).
fof(f20581,plain,
! [X0] :
( v_R(X0,v_s_H)
| ~ v_Q(X0,v_s1) ),
inference(resolution,[status(thm)],[f19798,f19801]) ).
fof(f38384,plain,
! [X0] :
( v_Q(X0,v_s1)
| ~ v_P(X0,v_s) ),
inference(resolution,[status(thm)],[f19796,f19800]) ).
fof(f38394,plain,
v_Q(v_Z,v_s1),
inference(resolution,[status(thm)],[f38384,f19799]) ).
fof(f38395,plain,
v_R(v_Z,v_s_H),
inference(resolution,[status(thm)],[f38394,f20581]) ).
fof(f38396,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f38395,f19802]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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 09:47:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.78/1.04 % Drodi V4.1.1
% 19.73/4.04 % Refutation found
% 19.73/4.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.73/4.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.73/4.07 % Elapsed time: 3.685605 seconds
% 19.73/4.07 % CPU time: 24.041755 seconds
% 19.73/4.07 % Total memory used: 934.524 MB
% 19.73/4.07 % Net memory used: 922.353 MB
%------------------------------------------------------------------------------