TSTP Solution File: MGT045-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:21:21 EDT 2023
% Result : Unsatisfiable 0.16s 0.33s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 100 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 99 ( 48 ~; 45 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 (; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B] :
( ~ smaller(A,B)
| greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( smaller(A,B)
| A = B
| greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(external_ties(A,B),external_ties(A,C))
| greater(position(A,B),position(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(external_ties(A,B),external_ties(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f29,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f33,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f34,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
( spl0_0
<=> organization(sk1) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( ~ organization(sk1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( spl0_1
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f44,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolution,[status(thm)],[f32,f34]) ).
fof(f47,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f46,f40,f43]) ).
fof(f48,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f33]) ).
fof(f49,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f48]) ).
fof(f54,plain,
( spl0_3
<=> age(sk1,sk3) = age(sk1,sk2) ),
introduced(split_symbol_definition) ).
fof(f55,plain,
( age(sk1,sk3) = age(sk1,sk2)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f67,plain,
( spl0_5
<=> smaller(position(sk1,sk3),position(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f68,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( spl0_6
<=> position(sk1,sk3) = position(sk1,sk2) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| position(sk1,sk3) = position(sk1,sk2) ),
inference(resolution,[status(thm)],[f29,f35]) ).
fof(f74,plain,
( spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f73,f67,f70]) ).
fof(f162,plain,
( greater(age(sk1,sk3),age(sk1,sk3))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f55,f34]) ).
fof(f174,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk3))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f71,f35]) ).
fof(f175,plain,
( spl0_12
<=> greater(position(sk1,sk3),position(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f176,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f44,f30]) ).
fof(f179,plain,
( ~ spl0_0
| spl0_12
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f178,f40,f175,f43]) ).
fof(f194,plain,
( greater(position(sk1,sk3),position(sk1,sk3))
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f71,f176]) ).
fof(f239,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk3))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f162,f26]) ).
fof(f240,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f162]) ).
fof(f241,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f277,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f194,f174]) ).
fof(f278,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f277]) ).
fof(f282,plain,
( greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f68,f24]) ).
fof(f337,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f282,f26]) ).
fof(f338,plain,
( $false
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f176]) ).
fof(f339,plain,
( ~ spl0_12
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f338]) ).
fof(f340,plain,
$false,
inference(sat_refutation,[status(thm)],[f47,f49,f74,f179,f241,f278,f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:23:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.55 % Elapsed time: 0.014511 seconds
% 0.17/0.55 % CPU time: 0.019101 seconds
% 0.17/0.55 % Memory used: 3.022 MB
%------------------------------------------------------------------------------