%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 10.19s 12.80s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 25 ( 25 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f5208,hypothesis,
v_P(v_Z,v_s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5209,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5210,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox/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(f39924,plain,
! [X0,X1,X2,X3] :
( v_R(X0,X3)
| ~ c_Natural_Oevaln(v_d,X2,v_n,X3)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| ~ v_P(X0,X1) ),
inference(resolution,[status(thm)],[f19796,f19798]) ).
fof(f39925,plain,
! [X0,X1] :
( ~ c_Natural_Oevaln(v_d,X1,v_n,v_s_H)
| ~ c_Natural_Oevaln(v_c,X0,v_n,X1)
| ~ v_P(v_Z,X0) ),
inference(resolution,[status(thm)],[f39924,f19802]) ).
fof(f39926,plain,
! [X0] :
( ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H)
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
inference(resolution,[status(thm)],[f39925,f19799]) ).
fof(f39927,plain,
~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(resolution,[status(thm)],[f39926,f19801]) ).
fof(f39932,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f39927,f19800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.38 % Computer : n012.cluster.edu
% 0.08/10.38 % Model : x86_64 x86_64
% 0.08/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.38 % Memory : 8046.5625MB
% 0.08/10.38 % OS : Linux 6.8.0-71-generic
% 0.08/10.38 % CPULimit : 300
% 0.08/10.38 % WCLimit : 300
% 0.08/10.38 % DateTime : Mon Sep 21 09:48:18 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.12/10.66 % Drodi V4.1.1
% 10.19/12.80 % Refutation found
% 10.19/12.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.19/12.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.19/12.83 % Elapsed time: 2.437243 seconds
% 10.19/12.83 % CPU time: 16.974239 seconds
% 10.19/12.83 % Total memory used: 965.285 MB
% 10.19/12.83 % Net memory used: 951.424 MB
%------------------------------------------------------------------------------