TSTP Solution File: SWV250-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV250-2 : 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 : Tue Apr 30 20:46:22 EDT 2024
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 55 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [V_c,V_A,T_a] :
( ! [V_B] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a) )
| c_in(V_c,V_A,T_a) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,V_A,T_a)
| ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
! [V_c,V_B,T_a] :
( ~ c_in(V_c,V_B,T_a)
| ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f15,f9]) ).
fof(f19,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f17,f9]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f131,plain,
( spl0_0
<=> c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f132,plain,
( c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( spl0_1
<=> c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f135,plain,
( c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f25,f8]) ).
fof(f138,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f137,f131,f134]) ).
fof(f140,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f18]) ).
fof(f141,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f10,f135]) ).
fof(f143,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f19]) ).
fof(f144,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f145,plain,
$false,
inference(sat_refutation,[status(thm)],[f138,f141,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV250-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 01:36:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.017912 seconds
% 0.13/0.36 % CPU time: 0.029289 seconds
% 0.13/0.36 % Total memory used: 13.078 MB
% 0.13/0.36 % Net memory used: 12.992 MB
%------------------------------------------------------------------------------