%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV188+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 : n013.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 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 141 ( 30 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 167 ( 52 ~; 46 |; 43 &)
% ( 0 <=>; 26 =>; 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 : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 56 ( 55 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = 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 ) ) )
=> ! [H] :
( ( leq(H,tptp_minus_1)
& leq(n0,H) )
=> a_select2(mu_init,H) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = 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 ) ) )
=> ! [H] :
( ( leq(H,tptp_minus_1)
& leq(n0,H) )
=> a_select2(mu_init,H) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f98,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f206,plain,
succ(tptp_minus_1) = n0,
inference(cnf_transformation,[status(thm)],[f28]) ).
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,
( ? [H] :
( a_select2(mu_init,H) != init
& leq(H,tptp_minus_1)
& leq(n0,H) )
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = 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) ) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(mu_init,sK23_skl) != init
& leq(sK23_skl,tptp_minus_1)
& leq(n0,sK23_skl)
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = 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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(H,sK23_skl)],[f251]) ).
fof(f259,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f260,plain,
leq(sK23_skl,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f363,plain,
! [X0] :
( leq(X0,tptp_minus_1)
| ~ leq(X0,sK23_skl) ),
inference(resolution,[status(thm)],[f102,f260]) ).
fof(f369,plain,
leq(n0,tptp_minus_1),
inference(resolution,[status(thm)],[f363,f259]) ).
fof(f372,plain,
! [X0] :
( leq(X0,tptp_minus_1)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f369,f102]) ).
fof(f494,plain,
! [X0] :
( ~ leq(succ(X0),n0)
| gt(tptp_minus_1,X0) ),
inference(resolution,[status(thm)],[f225,f372]) ).
fof(f519,plain,
( ~ leq(n0,n0)
| gt(tptp_minus_1,tptp_minus_1) ),
inference(paramodulation,[status(thm)],[f206,f494]) ).
fof(f520,plain,
~ leq(n0,n0),
inference(forward_subsumption_resolution,[status(thm)],[f519,f98]) ).
fof(f521,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f520,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV188+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.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 08:33:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.069208 seconds
% 0.13/0.45 % CPU time: 0.194493 seconds
% 0.13/0.45 % Total memory used: 109.707 MB
% 0.13/0.45 % Net memory used: 109.433 MB
%------------------------------------------------------------------------------