%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV182+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 : n010.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 02:46:49 PM UTC 2026
% Result : Theorem 0.08s 0.41s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 125 ( 28 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 152 ( 47 ~; 38 |; 44 &)
% ( 0 <=>; 23 =>; 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 : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 34 ( 33 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(sigma_init,F) = init ) )
& ( gt(loopcounter,n0)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(rho_init,E) = init ) )
& ( gt(loopcounter,n0)
=> ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(mu_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 ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(rho_init,G) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(sigma_init,F) = init ) )
& ( gt(loopcounter,n0)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(rho_init,E) = init ) )
& ( gt(loopcounter,n0)
=> ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(mu_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 ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(rho_init,G) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,plain,
! [X,Y] :
( gt(Y,X)
| ~ leq(succ(X),Y) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f225,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f251,plain,
( ? [G] :
( a_select2(rho_init,G) != init
& leq(G,n4)
& leq(n0,G) )
& ( ! [F] :
( a_select2(sigma_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n0) )
& ( ! [E] :
( a_select2(rho_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n0) )
& ( ! [D] :
( a_select2(mu_init,D) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
| ~ gt(loopcounter,n0) )
& ! [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) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(rho_init,sK23_skl) != init
& leq(sK23_skl,n4)
& leq(n0,sK23_skl)
& ( ! [F] :
( a_select2(sigma_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n0) )
& ( ! [E] :
( a_select2(rho_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n0) )
& ( ! [D] :
( a_select2(mu_init,D) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
| ~ gt(loopcounter,n0) )
& ! [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) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(G,sK23_skl)],[f251]) ).
fof(f254,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
! [X0] :
( a_select2(rho_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n0) ),
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(rho_init,sK23_skl) != init,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f305,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f361,plain,
( ~ leq(sK23_skl,n4)
| ~ leq(n0,sK23_skl)
| ~ gt(loopcounter,n0) ),
inference(resolution,[status(thm)],[f258,f262]) ).
fof(f362,plain,
( ~ leq(sK23_skl,n4)
| ~ gt(loopcounter,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f260]) ).
fof(f363,plain,
~ gt(loopcounter,n0),
inference(forward_subsumption_resolution,[status(thm)],[f362,f261]) ).
fof(f391,plain,
~ leq(succ(n0),loopcounter),
inference(resolution,[status(thm)],[f225,f363]) ).
fof(f394,plain,
~ leq(n1,loopcounter),
inference(forward_demodulation,[status(thm)],[f305,f391]) ).
fof(f395,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f394,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV182+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:34:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.048099 seconds
% 0.08/0.42 % CPU time: 0.134679 seconds
% 0.08/0.42 % Total memory used: 51.487 MB
% 0.08/0.42 % Net memory used: 51.376 MB
%------------------------------------------------------------------------------