TSTP Solution File: NUM857+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:35:58 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 105 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 44 ~; 43 |; 7 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Vd517,Vd518,Vd519,Vd520] :
( ( ( greater(Vd519,Vd520)
& geq(Vd517,Vd518) )
| ( geq(Vd519,Vd520)
& greater(Vd517,Vd518) ) )
=> greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( greater(Vd245,Vd244)
| Vd245 = Vd244 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
geq(vd529,vd530),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
geq(vd526,vd527),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f66,plain,
! [Vd517,Vd518,Vd519,Vd520] :
( ( ( ~ greater(Vd519,Vd520)
| ~ geq(Vd517,Vd518) )
& ( ~ geq(Vd519,Vd520)
| ~ greater(Vd517,Vd518) ) )
| greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520)) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| greater(vmul(X2,X0),vmul(X3,X1)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X2,X0),vmul(X3,X1)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f147,plain,
! [Vd244,Vd245] :
( ( ~ geq(Vd245,Vd244)
| greater(Vd245,Vd244)
| Vd245 = Vd244 )
& ( geq(Vd245,Vd244)
| ( ~ greater(Vd245,Vd244)
& Vd245 != Vd244 ) ) ),
inference(NNF_transformation,[status(esa)],[f38]) ).
fof(f148,plain,
( ! [Vd244,Vd245] :
( ~ geq(Vd245,Vd244)
| greater(Vd245,Vd244)
| Vd245 = Vd244 )
& ! [Vd244,Vd245] :
( geq(Vd245,Vd244)
| ( ~ greater(Vd245,Vd244)
& Vd245 != Vd244 ) ) ),
inference(miniscoping,[status(esa)],[f147]) ).
fof(f149,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f151,plain,
! [X0,X1] :
( geq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f197,plain,
! [X0] : geq(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f151]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| geq(vmul(X2,X0),vmul(X3,X1)) ),
inference(resolution,[status(thm)],[f67,f150]) ).
fof(f203,plain,
( spl0_0
<=> greater(vd526,vd527) ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( spl0_1
<=> vd526 = vd527 ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( vd526 = vd527
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( greater(vd526,vd527)
| vd526 = vd527 ),
inference(resolution,[status(thm)],[f149,f65]) ).
fof(f210,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f209,f203,f206]) ).
fof(f211,plain,
( spl0_2
<=> greater(vd529,vd530) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( spl0_3
<=> vd529 = vd530 ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( vd529 = vd530
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( greater(vd529,vd530)
| vd529 = vd530 ),
inference(resolution,[status(thm)],[f149,f64]) ).
fof(f218,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f217,f211,f214]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| geq(vmul(X2,X0),vmul(X3,X1)) ),
inference(resolution,[status(thm)],[f68,f150]) ).
fof(f222,plain,
( spl0_4
<=> geq(vd526,vd527) ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( ~ geq(vd526,vd527)
| spl0_4 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( ~ greater(vd529,vd530)
| ~ geq(vd526,vd527) ),
inference(resolution,[status(thm)],[f202,f63]) ).
fof(f226,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f225,f211,f222]) ).
fof(f228,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f65]) ).
fof(f229,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( spl0_5
<=> geq(vd529,vd530) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( ~ geq(vd529,vd530)
| spl0_5 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( ~ geq(vd529,vd530)
| ~ greater(vd526,vd527) ),
inference(resolution,[status(thm)],[f219,f63]) ).
fof(f234,plain,
( ~ spl0_5
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f233,f230,f203]) ).
fof(f236,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f64]) ).
fof(f237,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ geq(vmul(vd526,vd529),vmul(vd527,vd529))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f63]) ).
fof(f250,plain,
( ~ geq(vmul(vd526,vd529),vmul(vd526,vd529))
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f207,f239]) ).
fof(f251,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f197]) ).
fof(f252,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
$false,
inference(sat_refutation,[status(thm)],[f210,f218,f226,f229,f234,f237,f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:06:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.077196 seconds
% 0.19/0.43 % CPU time: 0.430116 seconds
% 0.19/0.43 % Total memory used: 60.630 MB
% 0.19/0.43 % Net memory used: 60.519 MB
%------------------------------------------------------------------------------