TSTP Solution File: NUM840+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n014.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 20:35:53 EDT 2024
% Result : Theorem 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 73 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 31 ~; 28 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd301,Vd302,Vd303] :
( less(Vd301,Vd302)
=> less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Vd301,Vd302,Vd303] :
( greater(Vd301,Vd302)
=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Vd203,Vd204] :
( Vd203 = Vd204
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Vd203,Vd204] :
( Vd203 != Vd204
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox2/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(f47,plain,
! [Vd301,Vd302,Vd303] :
( ~ less(Vd301,Vd302)
| less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f48,plain,
! [Vd301,Vd302] :
( ~ less(Vd301,Vd302)
| ! [Vd303] : less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ less(X0,X1)
| less(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
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(f135,plain,
( spl0_3
<=> greater(vd328,vd329) ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( greater(vd328,vd329)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( ~ greater(vd328,vd329)
| spl0_3 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f141,plain,
! [X0] : ~ less(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f86]) ).
fof(f158,plain,
! [X0] : less(vplus(vplus(vd328,vd330),X0),vplus(vplus(vd329,vd330),X0)),
inference(resolution,[status(thm)],[f49,f42]) ).
fof(f281,plain,
! [X0] :
( less(vplus(vplus(vd328,vd330),X0),vplus(vplus(vd328,vd330),X0))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f129,f158]) ).
fof(f282,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f141]) ).
fof(f283,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f282]) ).
fof(f285,plain,
! [X0] :
( greater(vplus(vd328,X0),vplus(vd329,X0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f136,f55]) ).
fof(f288,plain,
! [X0] :
( ~ less(vplus(vd328,X0),vplus(vd329,X0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f285,f87]) ).
fof(f403,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f288]) ).
fof(f404,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f471,plain,
( spl0_5
<=> less(vd328,vd329) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( less(vd328,vd329)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( vd328 = vd329
| less(vd328,vd329)
| spl0_3 ),
inference(resolution,[status(thm)],[f137,f85]) ).
fof(f475,plain,
( spl0_1
| spl0_5
| spl0_3 ),
inference(split_clause,[status(thm)],[f474,f128,f471,f135]) ).
fof(f476,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f41]) ).
fof(f477,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f476]) ).
fof(f478,plain,
$false,
inference(sat_refutation,[status(thm)],[f283,f404,f475,f477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:43:04 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.21/0.47 % Refutation found
% 0.21/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.48 % Elapsed time: 0.126329 seconds
% 0.21/0.48 % CPU time: 0.889419 seconds
% 0.21/0.48 % Total memory used: 67.790 MB
% 0.21/0.48 % Net memory used: 67.064 MB
%------------------------------------------------------------------------------