%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV181+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 : n016.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 137 ( 29 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 163 ( 47 ~; 42 |; 50 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 48 ( 47 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( ( gt(Y,Z)
& gt(X,Y) )
=> gt(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/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 ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) ),
file('/export/starexec/sandbox2/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 ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f95,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f96,plain,
! [X,Z] :
( gt(X,Z)
| ! [Y] :
( ~ gt(Y,Z)
| ~ gt(X,Y) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f251,plain,
( ? [G] :
( a_select2(muold_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) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select2(muold_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) )
& gt(n1,loopcounter)
& 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(f255,plain,
gt(n1,loopcounter),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f350,plain,
! [X0] :
( gt(X0,loopcounter)
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f97,f255]) ).
fof(f373,plain,
~ gt(loopcounter,n1),
inference(resolution,[status(thm)],[f350,f98]) ).
fof(f398,plain,
( n1 = loopcounter
| ~ leq(n1,loopcounter) ),
inference(resolution,[status(thm)],[f114,f373]) ).
fof(f402,plain,
n1 = loopcounter,
inference(forward_subsumption_resolution,[status(thm)],[f398,f254]) ).
fof(f405,plain,
gt(n1,n1),
inference(backward_demodulation,[status(thm)],[f402,f255]) ).
fof(f407,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f405,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV181+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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 08:38:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.052895 seconds
% 0.14/0.42 % CPU time: 0.114083 seconds
% 0.14/0.42 % Total memory used: 24.424 MB
% 0.14/0.42 % Net memory used: 24.353 MB
%------------------------------------------------------------------------------