%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV170+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 : n001.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 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 8 unt; 4 def)
% Number of atoms : 202 ( 40 equ)
% Maximal formula atoms : 39 ( 7 avg)
% Number of connectives : 239 ( 64 ~; 61 |; 82 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 42 ( 41 !; 1 ?)
% 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,n4)
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,n4)
& 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 ) )
& gt(loopcounter,n1)
& leq(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) )
=> ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(muold_init,J) = 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,n4)
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,n4)
& 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 ) )
& gt(loopcounter,n1)
& leq(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) )
=> ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(muold_init,J) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ? [J] :
( a_select2(muold_init,J) != init
& leq(J,n4)
& leq(n0,J) )
& ( ! [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,n4)
| ~ leq(n0,E) )
& ! [D] :
( a_select2(mu_init,D) = 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)
& leq(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(muold_init,sK23_skl) != init
& leq(sK23_skl,n4)
& leq(n0,sK23_skl)
& ( ! [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,n4)
| ~ leq(n0,E) )
& ! [D] :
( a_select2(mu_init,D) = 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)
& leq(pv54,n4)
& leq(pv52,n4)
& leq(pv10,n135299)
& leq(n0,pv54)
& leq(n0,pv52)
& leq(n0,pv10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(J,sK23_skl)],[f251]) ).
fof(f259,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f265,plain,
! [X0] :
( a_select2(muold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f268,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f269,plain,
leq(sK23_skl,n4),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f270,plain,
a_select2(muold_init,sK23_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f352,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ0_spl
| ~ gt(loopcounter,n1) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
! [X0] :
( sQ1_spl
<=> ( a_select2(muold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0] :
( ~ sQ1_spl
| a_select2(muold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f265,f352,f355]) ).
fof(f377,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f259]) ).
fof(f378,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f377]) ).
fof(f383,plain,
( ~ sQ1_spl
| ~ leq(sK23_skl,n4)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f356,f270]) ).
fof(f384,definition,
( sQ4_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ4_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ5_spl
<=> leq(sK23_skl,n4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ5_spl
| ~ leq(sK23_skl,n4) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f383,f384,f387,f355]) ).
fof(f391,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f268]) ).
fof(f392,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f269]) ).
fof(f394,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f395,plain,
$false,
inference(sat_refutation,[status(thm)],[f358,f378,f390,f392,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV170+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:39:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.053023 seconds
% 0.15/0.43 % CPU time: 0.131418 seconds
% 0.15/0.43 % Total memory used: 44.747 MB
% 0.15/0.43 % Net memory used: 44.632 MB
%------------------------------------------------------------------------------