%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV166+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:46:47 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% 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 : 190 ( 44 equ)
% Maximal formula atoms : 36 ( 7 avg)
% Number of connectives : 231 ( 68 ~; 61 |; 70 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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; 17 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,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 ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 )
=> ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(rhoold_init,J) = init ) ),
file('/export/starexec/sandbox2/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 ) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 )
=> ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(rhoold_init,J) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ? [J] :
( a_select2(rhoold_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,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) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(rhoold_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,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) )
& gt(loopcounter,n1)
& leq(pv40,n4)
& leq(n0,pv40)
& n0 != pv90 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(J,sK23_skl)],[f251]) ).
fof(f256,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f263,plain,
! [X0] :
( a_select2(rhoold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f265,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f266,plain,
leq(sK23_skl,n4),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f267,plain,
a_select2(rhoold_init,sK23_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f349,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ0_spl
| ~ gt(loopcounter,n1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f356,definition,
! [X0] :
( sQ2_spl
<=> ( a_select2(rhoold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f357,plain,
! [X0] :
( ~ sQ2_spl
| a_select2(rhoold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f263,f349,f356]) ).
fof(f383,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f351,f256]) ).
fof(f384,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f383]) ).
fof(f397,plain,
( ~ sQ2_spl
| ~ leq(sK23_skl,n4)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f357,f267]) ).
fof(f398,definition,
( sQ6_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ6_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ7_spl
<=> leq(sK23_skl,n4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( sQ7_spl
| ~ leq(sK23_skl,n4) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f397,f398,f401,f356]) ).
fof(f405,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f265]) ).
fof(f406,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f266]) ).
fof(f408,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f409,plain,
$false,
inference(sat_refutation,[status(thm)],[f359,f384,f404,f406,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV166+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:34:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.050943 seconds
% 0.15/0.43 % CPU time: 0.159934 seconds
% 0.15/0.43 % Total memory used: 109.584 MB
% 0.15/0.43 % Net memory used: 109.363 MB
%------------------------------------------------------------------------------