%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV187+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 : n014.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 0.40s
% 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 : 111 ( 27 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 140 ( 42 ~; 36 |; 40 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 29 ( 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(sigmaold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(rhoold_init,E) = init ) )
& ( gt(loopcounter,n1)
=> ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(muold_init,D) = init ) )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = 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) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(sigmaold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(rhoold_init,E) = init ) )
& ( gt(loopcounter,n1)
=> ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(muold_init,D) = init ) )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = 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) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ? [G] :
( a_select2(sigmaold_init,G) != init
& leq(G,n4)
& leq(n0,G) )
& ( ! [F] :
( a_select2(sigmaold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(rhoold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ( ! [D] :
( a_select2(muold_init,D) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
| ~ gt(loopcounter,n1) )
& ! [C] :
( a_select3(center_init,C,n0) = 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)
& ( ! [F] :
( a_select2(sigmaold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(rhoold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ( ! [D] :
( a_select2(muold_init,D) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
| ~ gt(loopcounter,n1) )
& ! [C] :
( a_select3(center_init,C,n0) = 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(G,sK23_skl)],[f251]) ).
fof(f253,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
! [X0] :
( a_select2(sigmaold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f260,plain,
leq(sK23_skl,n4),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,plain,
a_select2(sigmaold_init,sK23_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f363,plain,
! [X0] :
( a_select2(sigmaold_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f253]) ).
fof(f364,plain,
( ~ leq(sK23_skl,n4)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f363,f261]) ).
fof(f365,plain,
~ leq(sK23_skl,n4),
inference(forward_subsumption_resolution,[status(thm)],[f364,f259]) ).
fof(f374,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f365,f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV187+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:33:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.059180 seconds
% 0.13/0.42 % CPU time: 0.163637 seconds
% 0.13/0.42 % Total memory used: 78.520 MB
% 0.13/0.42 % Net memory used: 78.377 MB
%------------------------------------------------------------------------------