TSTP Solution File: SWV242-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:41:00 EDT 2023
% Result : Unsatisfiable 0.08s 0.30s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
! [V_C,T_a,V_A] :
( ! [V_B] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
( spl0_0
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( spl0_1
<=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f21,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f10,f16,f19]) ).
fof(f23,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f24,plain,
! [X0] :
( ~ c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f23,f11]) ).
fof(f26,plain,
( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f24,f9]) ).
fof(f27,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f13]) ).
fof(f28,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f21,f15]) ).
fof(f30,plain,
! [X0] :
( ~ c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f29,f11]) ).
fof(f35,plain,
( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f30,f8]) ).
fof(f36,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f12]) ).
fof(f37,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f36]) ).
fof(f38,plain,
$false,
inference(sat_refutation,[status(thm)],[f22,f28,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:41:27 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.52 % Elapsed time: 0.009180 seconds
% 0.13/0.52 % CPU time: 0.011201 seconds
% 0.13/0.52 % Memory used: 1.823 MB
%------------------------------------------------------------------------------