TSTP Solution File: NUM854+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:35:57 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% 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 : 9 ( 5 ~; 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f31,plain,
greater(vd508,vd509),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f47,plain,
! [Vd456,Vd457,Vd458] :
( ~ greater(Vd457,Vd458)
| greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f48,plain,
! [Vd457,Vd458] :
( ~ greater(Vd457,Vd458)
| ! [Vd456] : greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f110,plain,
! [X0] : greater(vmul(vd508,X0),vmul(vd509,X0)),
inference(resolution,[status(thm)],[f49,f31]) ).
fof(f111,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f29,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 20:45:26 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34 % Elapsed time: 0.018250 seconds
% 0.15/0.34 % CPU time: 0.020403 seconds
% 0.15/0.34 % Total memory used: 10.993 MB
% 0.15/0.34 % Net memory used: 10.931 MB
%------------------------------------------------------------------------------