%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:25:33 PM UTC 2026
% Result : Theorem 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 79 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 69 ( 19 ~; 14 |; 34 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 38 ( 26 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(X,B)
& leq(A,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
less(v600,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,conjecture,
~ ? [X,Y,Z,W] :
( leq(v150,W)
& in_lopen(W,v0,v300)
& in_lopen(Z,v0,v32)
& leq(v8,Z)
& in_open(Y,v0,v500)
& less(v100,Y)
& in_closed(X,v800,v800)
& in_closed(X,v600,v600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
~ ~ ? [X,Y,Z,W] :
( leq(v150,W)
& in_lopen(W,v0,v300)
& in_lopen(Z,v0,v32)
& leq(v8,Z)
& in_open(Y,v0,v500)
& less(v100,Y)
& in_closed(X,v800,v800)
& in_closed(X,v600,v600) ),
inference(negated_conjecture,[status(cth)],[f74]) ).
fof(f76,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f86,plain,
! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f99,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ leq(A,X)
| in_closed(X,A,B) )
& ( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f100,plain,
( ! [X,A,B] :
( ~ leq(X,B)
| ~ leq(A,X)
| in_closed(X,A,B) )
& ! [X,A,B] :
( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( leq(X1,X0)
| ~ in_closed(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ in_closed(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f201,plain,
less(v600,v800),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f238,plain,
? [W] :
( leq(v150,W)
& in_lopen(W,v0,v300)
& ? [Z] :
( in_lopen(Z,v0,v32)
& leq(v8,Z)
& ? [Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& ? [X] :
( in_closed(X,v800,v800)
& in_closed(X,v600,v600) ) ) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f239,plain,
( leq(v150,sK3_skl)
& in_lopen(sK3_skl,v0,v300)
& in_lopen(sK4_skl,v0,v32)
& leq(v8,sK4_skl)
& in_open(sK5_skl,v0,v500)
& less(v100,sK5_skl)
& in_closed(sK6_skl,v800,v800)
& in_closed(sK6_skl,v600,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(W,sK3_skl),skolemize(Z,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl)],[f238]) ).
fof(f240,plain,
in_closed(sK6_skl,v600,v600),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
in_closed(sK6_skl,v800,v800),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f273,plain,
leq(v800,sK6_skl),
inference(resolution,[status(thm)],[f101,f241]) ).
fof(f274,plain,
leq(v600,sK6_skl),
inference(resolution,[status(thm)],[f101,f240]) ).
fof(f280,plain,
leq(sK6_skl,v800),
inference(resolution,[status(thm)],[f102,f241]) ).
fof(f281,plain,
leq(sK6_skl,v600),
inference(resolution,[status(thm)],[f102,f240]) ).
fof(f387,plain,
( v800 = sK6_skl
| ~ leq(v800,sK6_skl) ),
inference(resolution,[status(thm)],[f280,f87]) ).
fof(f389,plain,
v800 = sK6_skl,
inference(forward_subsumption_resolution,[status(thm)],[f387,f273]) ).
fof(f523,plain,
( v600 = sK6_skl
| ~ leq(v600,sK6_skl) ),
inference(resolution,[status(thm)],[f281,f87]) ).
fof(f525,plain,
v600 = sK6_skl,
inference(forward_subsumption_resolution,[status(thm)],[f523,f274]) ).
fof(f536,plain,
less(v600,sK6_skl),
inference(forward_demodulation,[status(thm)],[f389,f201]) ).
fof(f545,plain,
less(sK6_skl,sK6_skl),
inference(backward_demodulation,[status(thm)],[f525,f536]) ).
fof(f560,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f545,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 01:29:22 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.040211 seconds
% 0.14/0.40 % CPU time: 0.110832 seconds
% 0.14/0.40 % Total memory used: 19.399 MB
% 0.14/0.40 % Net memory used: 19.344 MB
%------------------------------------------------------------------------------