%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV184+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 : n006.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 02:46:50 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 123 ( 31 equ)
% Maximal formula atoms : 27 ( 9 avg)
% Number of connectives : 156 ( 46 ~; 40 |; 46 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 33 ( 32 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = 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 ) )
& gt(loopcounter,n1) )
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(sigmaold_init,H) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = 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 ) )
& gt(loopcounter,n1) )
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(sigmaold_init,H) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ? [H] :
( a_select2(sigmaold_init,H) != init
& leq(H,n4)
& leq(n0,H) )
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ 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) )
& gt(loopcounter,n1) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(sigmaold_init,sK23_skl) != init
& leq(sK23_skl,n4)
& leq(n0,sK23_skl)
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ 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) )
& gt(loopcounter,n1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(H,sK23_skl)],[f251]) ).
fof(f253,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
! [X0] :
( a_select2(sigmaold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f260,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,plain,
leq(sK23_skl,n4),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f262,plain,
a_select2(sigmaold_init,sK23_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f372,plain,
! [X0] :
( a_select2(sigmaold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f253]) ).
fof(f373,plain,
( ~ leq(sK23_skl,n4)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f372,f262]) ).
fof(f374,plain,
~ leq(sK23_skl,n4),
inference(forward_subsumption_resolution,[status(thm)],[f373,f260]) ).
fof(f375,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f374,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV184+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % Computer : n006.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 08:33:42 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.061322 seconds
% 0.13/0.44 % CPU time: 0.142663 seconds
% 0.13/0.44 % Total memory used: 68.428 MB
% 0.13/0.44 % Net memory used: 68.272 MB
%------------------------------------------------------------------------------