%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:25:32 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 17 ~; 10 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [V,InfD,SupD] :
( ( leq(V,SupD)
& leq(InfD,V) )
=> completion_compatible(V,InfD,SupD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,hypothesis,
! [X] : leq(ninf,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
! [X] : leq(X,nsup),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,conjecture,
? [V] :
( completion_compatible(V,ninf,nsup)
& leq(V,nsup)
& leq(ninf,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ ? [V] :
( completion_compatible(V,ninf,nsup)
& leq(V,nsup)
& leq(ninf,V) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f127,plain,
! [V,InfD,SupD] :
( completion_compatible(V,InfD,SupD)
| ~ leq(V,SupD)
| ~ leq(InfD,V) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f128,plain,
! [X0,X1,X2] :
( completion_compatible(X1,X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f143,plain,
! [X0] : leq(ninf,X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f144,plain,
! [X0] : leq(X0,nsup),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f146,plain,
! [V] :
( ~ completion_compatible(V,ninf,nsup)
| ~ leq(V,nsup)
| ~ leq(ninf,V) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f147,plain,
! [X0] :
( ~ completion_compatible(X0,ninf,nsup)
| ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f155,plain,
! [X0] :
( ~ completion_compatible(X0,ninf,nsup)
| ~ leq(X0,nsup) ),
inference(backward_subsumption_resolution,[status(thm)],[f147,f143]) ).
fof(f156,plain,
! [X0] : ~ completion_compatible(X0,ninf,nsup),
inference(backward_subsumption_resolution,[status(thm)],[f155,f144]) ).
fof(f169,plain,
! [X0] :
( ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(resolution,[status(thm)],[f128,f156]) ).
fof(f170,plain,
! [X0] : ~ leq(X0,nsup),
inference(forward_subsumption_resolution,[status(thm)],[f169,f143]) ).
fof(f171,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f170,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:24:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.038895 seconds
% 0.11/0.42 % CPU time: 0.074713 seconds
% 0.11/0.42 % Total memory used: 9.677 MB
% 0.11/0.42 % Net memory used: 9.669 MB
%------------------------------------------------------------------------------