%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 02:46:48 PM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 126 ( 32 equ)
% Maximal formula atoms : 35 ( 9 avg)
% Number of connectives : 150 ( 38 ~; 31 |; 55 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( a_select3(q_init,pv46,pv40) != init
& ( ! [I] :
( a_select2(sigmaold_init,I) = init
| ~ leq(I,n4)
| ~ leq(n0,I) )
| ~ gt(loopcounter,n1) )
& ( ! [H] :
( a_select2(rhoold_init,H) = init
| ~ leq(H,n4)
| ~ leq(n0,H) )
| ~ gt(loopcounter,n1) )
& ( ! [G] :
( a_select2(muold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ! [F] :
( a_select3(center_init,F,n0) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
& ! [E] :
( a_select2(sigma_init,E) = init
| ~ leq(E,pred(pv40))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(mu_init,D) = init
| ~ leq(D,pred(pv40))
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f253,plain,
leq(n0,pv40),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
leq(n0,pv46),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
leq(pv40,n4),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f256,plain,
leq(pv46,n135299),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f257,plain,
! [X0,X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f265,plain,
a_select3(q_init,pv46,pv40) != init,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f357,plain,
( ~ leq(pv40,n4)
| ~ leq(n0,pv40)
| ~ leq(pv46,n135299)
| ~ leq(n0,pv46) ),
inference(resolution,[status(thm)],[f257,f265]) ).
fof(f358,plain,
( ~ leq(pv40,n4)
| ~ leq(n0,pv40)
| ~ leq(pv46,n135299) ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f254]) ).
fof(f361,plain,
( ~ leq(pv40,n4)
| ~ leq(n0,pv40) ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f256]) ).
fof(f362,plain,
~ leq(pv40,n4),
inference(resolution,[status(thm)],[f361,f253]) ).
fof(f366,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f362,f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 08:33:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.35 % Elapsed time: 0.040909 seconds
% 0.07/0.35 % CPU time: 0.091663 seconds
% 0.07/0.35 % Total memory used: 109.283 MB
% 0.07/0.35 % Net memory used: 109.092 MB
%------------------------------------------------------------------------------