TSTP Solution File: NUM840+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:30:47 EDT 2023
% Result : Theorem 0.17s 0.41s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 64 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 25 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ less(vd328,vd329),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Vd301,Vd302,Vd303] :
( greater(Vd301,Vd302)
=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Vd203,Vd204] :
( Vd203 = Vd204
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Vd203,Vd204] :
( Vd203 != Vd204
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f53,plain,
! [Vd301,Vd302,Vd303] :
( ~ greater(Vd301,Vd302)
| greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f54,plain,
! [Vd301,Vd302] :
( ~ greater(Vd301,Vd302)
| ! [Vd303] : greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f86,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f87,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f128,plain,
( spl0_1
<=> vd328 = vd329 ),
introduced(split_symbol_definition) ).
fof(f129,plain,
( vd328 = vd329
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f132,plain,
( spl0_2
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl0_2 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f141,plain,
! [X0] : ~ less(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f86]) ).
fof(f196,plain,
( ~ greater(vd328,vd329)
| spl0_2 ),
inference(resolution,[status(thm)],[f134,f55]) ).
fof(f1401,plain,
( spl0_10
<=> less(vd328,vd329) ),
introduced(split_symbol_definition) ).
fof(f1402,plain,
( less(vd328,vd329)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( vd328 = vd329
| less(vd328,vd329)
| spl0_2 ),
inference(resolution,[status(thm)],[f85,f196]) ).
fof(f1405,plain,
( spl0_1
| spl0_10
| spl0_2 ),
inference(split_clause,[status(thm)],[f1404,f128,f1401,f132]) ).
fof(f1498,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f129,f42]) ).
fof(f1499,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1498,f141]) ).
fof(f1500,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f2235,plain,
( ~ less(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f133,f87]) ).
fof(f2236,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f42]) ).
fof(f2237,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2238,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f41]) ).
fof(f2239,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f2238]) ).
fof(f2240,plain,
$false,
inference(sat_refutation,[status(thm)],[f1405,f1500,f2237,f2239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n003.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 09:58:53 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Drodi V3.5.1
% 0.17/0.41 % Refutation found
% 0.17/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.43 % Elapsed time: 0.082139 seconds
% 0.17/0.43 % CPU time: 0.263756 seconds
% 0.17/0.43 % Memory used: 31.693 MB
%------------------------------------------------------------------------------