%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV174+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 : n015.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 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 98 ( 16 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 112 ( 34 ~; 27 |; 38 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [D,E] :
( ( leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,pred(pv10))
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [D,E] :
( ( leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
=> ( gt(pv10,D)
=> a_select3(q_init,D,E) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f251,plain,
( ? [D,E] :
( a_select3(q_init,D,E) != init
& gt(pv10,D)
& leq(E,n4)
& leq(D,n135299)
& leq(n0,E)
& leq(n0,D) )
& ! [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,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select3(q_init,sK23_skl,sK24_skl) != init
& gt(pv10,sK23_skl)
& leq(sK24_skl,n4)
& leq(sK23_skl,n135299)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl)
& ! [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,pred(pv10))
| ~ leq(n0,A) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(D,sK23_skl),skolemize(E,sK24_skl)],[f251]) ).
fof(f255,plain,
! [X0,X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
leq(n0,sK24_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f260,plain,
leq(sK24_skl,n4),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,plain,
gt(pv10,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f262,plain,
a_select3(q_init,sK23_skl,sK24_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f356,plain,
! [X0] :
( a_select3(q_init,X0,sK24_skl) = init
| ~ leq(n0,sK24_skl)
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f260,f255]) ).
fof(f357,plain,
! [X0] :
( a_select3(q_init,X0,sK24_skl) = init
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f258]) ).
fof(f362,plain,
( ~ leq(sK23_skl,pred(pv10))
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f357,f262]) ).
fof(f363,plain,
~ leq(sK23_skl,pred(pv10)),
inference(forward_subsumption_resolution,[status(thm)],[f362,f257]) ).
fof(f372,plain,
~ gt(pv10,sK23_skl),
inference(resolution,[status(thm)],[f363,f118]) ).
fof(f376,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f372,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV174+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:37:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.056759 seconds
% 0.14/0.42 % CPU time: 0.127799 seconds
% 0.14/0.42 % Total memory used: 54.782 MB
% 0.14/0.42 % Net memory used: 54.652 MB
%------------------------------------------------------------------------------