TSTP Solution File: NUM841+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 24.46s 3.47s
% Output : CNFRefutation 24.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 34 unt; 0 def)
% Number of atoms : 91 ( 46 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 38 ~; 26 |; 3 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 92 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Vd203,Vd204] :
( Vd203 = Vd204
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Vd120,Vd121] :
( Vd120 != Vd121
| ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f33,plain,
greater(vd347,vd348),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f34,plain,
greater(vd344,vd345),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f54,plain,
! [Vd226,Vd227] :
( ~ less(Vd226,Vd227)
| greater(Vd227,Vd226) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f55,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f58,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f60,plain,
! [Vd193,Vd194] :
( ( ~ greater(Vd194,Vd193)
| ? [Vd196] : Vd194 = vplus(Vd193,Vd196) )
& ( greater(Vd194,Vd193)
| ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f61,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)],[f60]) ).
fof(f62,plain,
( ! [Vd193,Vd194] :
( ~ greater(Vd194,Vd193)
| Vd194 = vplus(Vd193,sk0_0(Vd194,Vd193)) )
& ! [Vd193,Vd194] :
( greater(Vd194,Vd193)
| ! [Vd196] : Vd194 != vplus(Vd193,Vd196) ) ),
inference(skolemization,[status(esa)],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 = vplus(X1,sk0_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f65,plain,
! [Vd120,Vd121] :
( Vd120 != Vd121
| ! [Vd123] : Vd120 != vplus(Vd121,Vd123) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X0 != X1
| X0 != vplus(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f70,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f79,plain,
! [X0,X1] : X0 != vplus(X0,X1),
inference(destructive_equality_resolution,[status(esa)],[f66]) ).
fof(f83,plain,
! [X0,X1] : X0 != vplus(X1,X0),
inference(paramodulation,[status(thm)],[f67,f79]) ).
fof(f100,plain,
! [X0,X1,X2] : vplus(X0,vplus(X1,X2)) = vplus(X1,vplus(X2,X0)),
inference(paramodulation,[status(thm)],[f67,f70]) ).
fof(f105,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X1,vplus(X0,X2)),
inference(paramodulation,[status(thm)],[f67,f70]) ).
fof(f106,plain,
! [X0,X1,X2] : vplus(X0,vplus(X1,X2)) = vplus(X1,vplus(X0,X2)),
inference(forward_demodulation,[status(thm)],[f70,f105]) ).
fof(f117,plain,
! [X0,X1,X2] : X0 != vplus(X1,vplus(X2,X0)),
inference(paramodulation,[status(thm)],[f70,f83]) ).
fof(f122,plain,
! [X0,X1,X2] : X0 != vplus(vplus(X1,X0),X2),
inference(paramodulation,[status(thm)],[f67,f117]) ).
fof(f123,plain,
! [X0,X1,X2] : X0 != vplus(X1,vplus(X0,X2)),
inference(forward_demodulation,[status(thm)],[f70,f122]) ).
fof(f134,plain,
! [X0,X1,X2,X3] : vplus(X0,X1) != vplus(X2,vplus(X0,vplus(X1,X3))),
inference(paramodulation,[status(thm)],[f70,f123]) ).
fof(f228,plain,
vd344 = vplus(vd345,sk0_0(vd344,vd345)),
inference(resolution,[status(thm)],[f63,f34]) ).
fof(f229,plain,
vd347 = vplus(vd348,sk0_0(vd347,vd348)),
inference(resolution,[status(thm)],[f63,f33]) ).
fof(f248,plain,
! [X0,X1,X2] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X1,X0)),
inference(paramodulation,[status(thm)],[f67,f100]) ).
fof(f358,plain,
! [X0,X1,X2] : vplus(X0,vplus(X1,X2)) = vplus(X0,vplus(X2,X1)),
inference(paramodulation,[status(thm)],[f100,f106]) ).
fof(f549,plain,
! [X0,X1,X2,X3] : vplus(X0,X1) != vplus(X2,vplus(X1,vplus(X0,X3))),
inference(paramodulation,[status(thm)],[f106,f134]) ).
fof(f4009,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f58,f55]) ).
fof(f5143,plain,
! [X0,X1] : vplus(vd345,X0) != vplus(X1,vplus(X0,vd344)),
inference(paramodulation,[status(thm)],[f228,f549]) ).
fof(f5323,plain,
! [X0,X1] : vplus(vd345,X0) != vplus(vd344,vplus(X0,X1)),
inference(paramodulation,[status(thm)],[f248,f5143]) ).
fof(f5783,plain,
vplus(vd345,vd348) != vplus(vd344,vd347),
inference(paramodulation,[status(thm)],[f229,f5323]) ).
fof(f5793,plain,
! [X0,X1,X2] : vplus(vd345,X0) != vplus(vd344,vplus(X1,vplus(X0,X2))),
inference(paramodulation,[status(thm)],[f106,f5323]) ).
fof(f7301,plain,
! [X0] : vplus(vd345,vd348) != vplus(vd344,vplus(X0,vd347)),
inference(paramodulation,[status(thm)],[f229,f5793]) ).
fof(f7317,plain,
! [X0] : vplus(vd345,vd348) != vplus(vd344,vplus(vd347,X0)),
inference(paramodulation,[status(thm)],[f358,f7301]) ).
fof(f10637,plain,
( spl0_22
<=> vplus(vd344,vd347) = vplus(vd345,vd348) ),
introduced(split_symbol_definition) ).
fof(f10638,plain,
( vplus(vd344,vd347) = vplus(vd345,vd348)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f10637]) ).
fof(f10640,plain,
( spl0_23
<=> greater(vplus(vd345,vd348),vplus(vd344,vd347)) ),
introduced(split_symbol_definition) ).
fof(f10641,plain,
( greater(vplus(vd345,vd348),vplus(vd344,vd347))
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f10640]) ).
fof(f10643,plain,
( vplus(vd344,vd347) = vplus(vd345,vd348)
| greater(vplus(vd345,vd348),vplus(vd344,vd347)) ),
inference(resolution,[status(thm)],[f4009,f28]) ).
fof(f10644,plain,
( spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f10643,f10637,f10640]) ).
fof(f10681,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f10638,f5783]) ).
fof(f10682,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f10681]) ).
fof(f12470,plain,
( vplus(vd345,vd348) = vplus(vplus(vd344,vd347),sk0_0(vplus(vd345,vd348),vplus(vd344,vd347)))
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f10641,f63]) ).
fof(f12471,plain,
( vplus(vd345,vd348) = vplus(vd344,vplus(vd347,sk0_0(vplus(vd345,vd348),vplus(vd344,vd347))))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f70,f12470]) ).
fof(f12472,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f12471,f7317]) ).
fof(f12473,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f12472]) ).
fof(f12474,plain,
$false,
inference(sat_refutation,[status(thm)],[f10644,f10682,f12473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 21:22:17 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 24.46/3.47 % Refutation found
% 24.46/3.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.46/3.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.80/3.51 % Elapsed time: 3.162569 seconds
% 24.80/3.51 % CPU time: 24.879438 seconds
% 24.80/3.51 % Total memory used: 312.237 MB
% 24.80/3.51 % Net memory used: 306.016 MB
%------------------------------------------------------------------------------