TSTP Solution File: NUM852+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Wed May 31 12:30:50 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 38 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 10 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 41 (; 38 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Vd470,Vd471] :
( greater(Vd470,Vd471)
=> vmul(Vd470,vd469) = vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
greater(vd481,vd480),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
! [Vd470,Vd471] :
( ~ greater(Vd470,Vd471)
| vmul(Vd470,vd469) = vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f70,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| vmul(X0,vd469) = vmul(vplus(X1,vskolem9(X0,X1)),vd469) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f74,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f75,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f149,plain,
! [Vd193,Vd194] :
( ( ~ greater(Vd194,Vd193)
| ? [Vd196] : Vd194 = vplus(Vd193,Vd196) )
& ( greater(Vd194,Vd193)
| ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ) ),
inference(NNF_transformation,[status(esa)],[f43]) ).
fof(f150,plain,
( ! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
| ? [Vd196] : Vd194 = vplus(Vd193,Vd196) )
& ! [Vd193,Vd194] :
( greater(Vd194,Vd193)
| ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ) ),
inference(miniscoping,[status(esa)],[f149]) ).
fof(f151,plain,
( ! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
| Vd194 = vplus(Vd193,sk0_1(Vd194,Vd193)) )
& ! [Vd193,Vd194] :
( greater(Vd194,Vd193)
| ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ) ),
inference(skolemization,[status(esa)],[f150]) ).
fof(f153,plain,
! [X0,X1,X2] :
( greater(X0,X1)
| X0 != vplus(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f186,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(paramodulation,[status(thm)],[f75,f60]) ).
fof(f188,plain,
! [X0] : vmul(vd481,vd469) != vplus(vmul(vd469,vd480),X0),
inference(resolution,[status(thm)],[f153,f186]) ).
fof(f415,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| vmul(X0,vd469) = vmul(vd469,vplus(X1,vskolem9(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f75,f70]) ).
fof(f618,plain,
! [X0] : vmul(vd481,vd469) != vmul(vd469,vplus(vd480,X0)),
inference(paramodulation,[status(thm)],[f74,f188]) ).
fof(f632,plain,
~ greater(vd481,vd480),
inference(resolution,[status(thm)],[f618,f415]) ).
fof(f633,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f632,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:18:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.59 % Refutation found
% 0.20/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.60 % Elapsed time: 0.254648 seconds
% 0.20/0.60 % CPU time: 1.051757 seconds
% 0.20/0.60 % Memory used: 67.390 MB
%------------------------------------------------------------------------------