%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM854+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:41:51 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
greater(vd508,vd509),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f79,plain,
! [Vd456,Vd457,Vd458] :
( greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))
| ~ greater(Vd457,Vd458) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f80,plain,
! [Vd457,Vd458] :
( ! [Vd456] : greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))
| ~ greater(Vd457,Vd458) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( greater(vmul(X0,X2),vmul(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f215,plain,
~ greater(vd508,vd509),
inference(resolution,[status(thm)],[f81,f61]) ).
fof(f222,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f215,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM854+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n001.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 21 03:18:58 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.11/0.36 % 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
% 0.11/0.41 % Elapsed time: 0.058455 seconds
% 0.11/0.41 % CPU time: 0.151584 seconds
% 0.11/0.41 % Total memory used: 103.397 MB
% 0.11/0.41 % Net memory used: 103.341 MB
%------------------------------------------------------------------------------