TSTP Solution File: NUM842+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM842+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:35:54 EDT 2024
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 6 unt; 0 def)
% Number of atoms : 144 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 58 ~; 61 |; 10 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd353,vd355),vplus(vd354,vd356)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ( greater(vd355,vd356)
& geq(vd353,vd354) )
| ( geq(vd355,vd356)
& greater(vd353,vd354) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Vd337,Vd338,Vd340,Vd341] :
( ( greater(Vd340,Vd341)
& greater(Vd337,Vd338) )
=> greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Vd301,Vd302,Vd303] :
( greater(Vd301,Vd302)
=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( greater(Vd245,Vd244)
| Vd245 = Vd244 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( pd0_0
=> ( greater(vd355,vd356)
& geq(vd353,vd354) ) ),
introduced(predicate_definition,[f3]) ).
fof(f45,plain,
( pd0_0
| ( geq(vd355,vd356)
& greater(vd353,vd354) ) ),
inference(formula_renaming,[status(thm)],[f3,f44]) ).
fof(f46,plain,
( pd0_0
| geq(vd355,vd356) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
( pd0_0
| greater(vd353,vd354) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f48,plain,
! [Vd337,Vd338,Vd340,Vd341] :
( ~ greater(Vd340,Vd341)
| ~ greater(Vd337,Vd338)
| greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X2,X0),vplus(X3,X1)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f65,plain,
! [Vd301,Vd302,Vd303] :
( ~ greater(Vd301,Vd302)
| greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f66,plain,
! [Vd301,Vd302] :
( ~ greater(Vd301,Vd302)
| ! [Vd303] : greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(miniscoping,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f88,plain,
! [Vd244,Vd245] :
( ( ~ geq(Vd245,Vd244)
| greater(Vd245,Vd244)
| Vd245 = Vd244 )
& ( geq(Vd245,Vd244)
| ( ~ greater(Vd245,Vd244)
& Vd245 != Vd244 ) ) ),
inference(NNF_transformation,[status(esa)],[f18]) ).
fof(f89,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)],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f122,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f137,plain,
( ~ pd0_0
| ( greater(vd355,vd356)
& geq(vd353,vd354) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f138,plain,
( ~ pd0_0
| greater(vd355,vd356) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f139,plain,
( ~ pd0_0
| geq(vd353,vd354) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f140,plain,
( spl0_0
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f143,plain,
( spl0_1
<=> geq(vd355,vd356) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( geq(vd355,vd356)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f46,f140,f143]) ).
fof(f147,plain,
( spl0_2
<=> greater(vd353,vd354) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( greater(vd353,vd354)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f47,f140,f147]) ).
fof(f151,plain,
( spl0_3
<=> greater(vd355,vd356) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( greater(vd355,vd356)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f138,f140,f151]) ).
fof(f155,plain,
( spl0_4
<=> geq(vd353,vd354) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( geq(vd353,vd354)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f139,f140,f155]) ).
fof(f219,plain,
! [X0] :
( greater(vplus(vd355,X0),vplus(vd356,X0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f152,f67]) ).
fof(f222,plain,
! [X0] :
( greater(vplus(vd353,X0),vplus(vd354,X0))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f148,f67]) ).
fof(f224,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater(vplus(vd353,X0),vplus(vd354,X1))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f148,f49]) ).
fof(f229,plain,
! [X0] :
( greater(vplus(X0,vd355),vplus(vd356,X0))
| ~ spl0_3 ),
inference(paramodulation,[status(thm)],[f122,f219]) ).
fof(f239,plain,
! [X0] :
( greater(vplus(vd353,X0),vplus(X0,vd354))
| ~ spl0_2 ),
inference(paramodulation,[status(thm)],[f122,f222]) ).
fof(f251,plain,
! [X0] :
( greater(vplus(X0,vd355),vplus(X0,vd356))
| ~ spl0_3 ),
inference(paramodulation,[status(thm)],[f122,f229]) ).
fof(f286,plain,
( ~ greater(vd355,vd356)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f224,f43]) ).
fof(f287,plain,
( $false
| ~ spl0_3
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f152]) ).
fof(f288,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f377,plain,
( spl0_6
<=> vd355 = vd356 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( vd355 = vd356
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f385,plain,
( spl0_8
<=> vd354 = vd353 ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( vd354 = vd353
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f562,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd354,vd355))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f378,f43]) ).
fof(f563,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd355,vd354))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f122,f562]) ).
fof(f564,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f239]) ).
fof(f565,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f947,plain,
( greater(vd353,vd354)
| vd353 = vd354
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f90,f156]) ).
fof(f948,plain,
( spl0_2
| spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f947,f147,f385,f155]) ).
fof(f949,plain,
( greater(vd355,vd356)
| vd355 = vd356
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f90,f144]) ).
fof(f950,plain,
( spl0_3
| spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f949,f151,f377,f143]) ).
fof(f1038,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd353,vd356))
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f386,f43]) ).
fof(f1170,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(backward_subsumption_resolution,[status(thm)],[f1038,f251]) ).
fof(f1171,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1170]) ).
fof(f1172,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f150,f154,f158,f288,f565,f948,f950,f1171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM842+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 20:35:18 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.46 % Elapsed time: 0.089900 seconds
% 0.19/0.46 % CPU time: 0.590299 seconds
% 0.19/0.46 % Total memory used: 67.761 MB
% 0.19/0.46 % Net memory used: 67.158 MB
%------------------------------------------------------------------------------