TSTP Solution File: SWV268-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV268-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:41:07 EDT 2023
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 71 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 29 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 27 (; 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,axiom,
! [V_A,V_B,T_a] :
( ~ c_less(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_less(V_A,V_B,tc_set(T_a))
| V_A = V_B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2774,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2776,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2779,negated_conjecture,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2780,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2911,plain,
! [X0,X1,X2] :
( ~ c_less(X0,X1,tc_set(X2))
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f2912,plain,
! [V_A,V_B] :
( ! [T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_less(V_A,V_B,tc_set(T_a)) )
| V_A = V_B ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f2913,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_less(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f2912]) ).
fof(f2925,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f6176,plain,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(esa)],[f2774]) ).
fof(f6178,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f2776]) ).
fof(f6182,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2779]) ).
fof(f6183,plain,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2780]) ).
fof(f6196,plain,
( spl0_2
<=> c_less(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f6197,plain,
( c_less(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f6196]) ).
fof(f6199,plain,
( spl0_3
<=> v_G = c_Message_Oparts(v_H) ),
introduced(split_symbol_definition) ).
fof(f6200,plain,
( v_G = c_Message_Oparts(v_H)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f6199]) ).
fof(f6202,plain,
( c_less(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| v_G = c_Message_Oparts(v_H) ),
inference(resolution,[status(thm)],[f2913,f6182]) ).
fof(f6203,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f6202,f6196,f6199]) ).
fof(f6232,plain,
( ~ c_lessequals(c_Message_Oparts(v_G),v_G,tc_set(tc_Message_Omsg))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f6200,f6183]) ).
fof(f6249,plain,
( c_Message_Oparts(v_G) = c_Message_Oparts(v_H)
| ~ spl0_3 ),
inference(paramodulation,[status(thm)],[f6200,f6176]) ).
fof(f6250,plain,
( c_Message_Oparts(v_G) = v_G
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f6200,f6249]) ).
fof(f6267,plain,
( c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f6197,f2911]) ).
fof(f6282,plain,
( spl0_14
<=> v_G = c_Message_Oparts(v_G) ),
introduced(split_symbol_definition) ).
fof(f6283,plain,
( v_G = c_Message_Oparts(v_G)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f6282]) ).
fof(f6285,plain,
( spl0_15
<=> c_lessequals(v_G,v_G,tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f6287,plain,
( ~ c_lessequals(v_G,v_G,tc_set(tc_Message_Omsg))
| spl0_15 ),
inference(component_clause,[status(thm)],[f6285]) ).
fof(f6296,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f6287,f2925]) ).
fof(f6297,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f6296]) ).
fof(f6451,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6176,f6178]) ).
fof(f6576,plain,
( ~ c_lessequals(v_G,v_G,tc_set(tc_Message_Omsg))
| ~ spl0_14
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f6283,f6232]) ).
fof(f6577,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6576,f6285,f6282,f6199]) ).
fof(f6924,plain,
~ c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6451,f6183]) ).
fof(f6925,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f6924,f6267]) ).
fof(f6926,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f6925]) ).
fof(f6953,plain,
( spl0_14
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6250,f6282,f6199]) ).
fof(f6955,plain,
$false,
inference(sat_refutation,[status(thm)],[f6203,f6297,f6577,f6926,f6953]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV268-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n009.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 : Tue May 30 11:30:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % Drodi V3.5.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.61 % Elapsed time: 0.274971 seconds
% 0.18/0.61 % CPU time: 0.164156 seconds
% 0.18/0.61 % Memory used: 21.237 MB
%------------------------------------------------------------------------------