TSTP Solution File: SWV249-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV249-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:41:02 EDT 2023
% Result : Unsatisfiable 6.64s 1.40s
% Output : CNFRefutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 33 unt; 0 def)
% Number of atoms : 95 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 38 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 120 (; 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,axiom,
! [V_B,V_A,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| V_A = V_B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2630,axiom,
! [V_B,V_A,T_a] : c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2631,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2642,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2645,axiom,
! [V_A,V_B,T_a,V_C] :
( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2647,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(T_a))
| c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2690,axiom,
! [V_x,V_B,T_a,V_A] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2771,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2823,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2824,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(f2826,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2829,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2830,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),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_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2973,plain,
! [V_B,V_A] :
( ! [T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| V_A = V_B ),
inference(miniscoping,[status(esa)],[f111]) ).
fof(f2974,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f2973]) ).
fof(f2975,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f6040,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),X1,X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f2630]) ).
fof(f6041,plain,
! [X0,X1,X2] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f2631]) ).
fof(f6056,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)],[f2642]) ).
fof(f6057,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f6056]) ).
fof(f6060,plain,
! [V_A,T_a,V_C] :
( ! [V_B] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f2645]) ).
fof(f6061,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X0,X3,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f6060]) ).
fof(f6064,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f2647]) ).
fof(f6124,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f2690]) ).
fof(f6221,plain,
! [X0,X1,X2] : c_union(X0,c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
inference(cnf_transformation,[status(esa)],[f2771]) ).
fof(f6281,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)],[f2823]) ).
fof(f6282,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)],[f2824]) ).
fof(f6284,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)],[f2826]) ).
fof(f6287,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2829]) ).
fof(f6288,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),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_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2830]) ).
fof(f6458,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f6061,f2975]) ).
fof(f6484,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f6221,f6458]) ).
fof(f6504,plain,
! [X0,X1,X2] : c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f6041,f6484]) ).
fof(f6716,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(c_minus(X3,X0,tc_set(X2)),X1,tc_set(X2))
| c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
inference(paramodulation,[status(thm)],[f6040,f6064]) ).
fof(f7797,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6281,f6284]) ).
fof(f18089,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(c_union(X1,X0,X2),c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f6716,f6504]) ).
fof(f18090,plain,
! [X0,X1,X2] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(forward_subsumption_resolution,[status(thm)],[f18089,f6458]) ).
fof(f18199,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))
| c_union(X1,X0,X2) = c_union(X0,X1,X2) ),
inference(resolution,[status(thm)],[f18090,f2974]) ).
fof(f18200,plain,
! [X0,X1,X2] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f18199,f18090]) ).
fof(f18455,plain,
! [X0,X1] : c_Message_Oanalz(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X0,tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f18200,f6281]) ).
fof(f20187,plain,
! [X0,X1] : c_Message_Oanalz(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,c_Message_Oanalz(X0),tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f6281,f18455]) ).
fof(f20188,plain,
! [X0,X1] : c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f18455,f20187]) ).
fof(f20189,plain,
! [X0,X1] : c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X0,tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f18455,f20188]) ).
fof(f27714,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg)) = c_union(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f18200,f7797]) ).
fof(f27715,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(backward_demodulation,[status(thm)],[f27714,f6288]) ).
fof(f27716,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f20189,f27715]) ).
fof(f28139,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f27716,f6282]) ).
fof(f28142,plain,
( spl0_36
<=> c_in(v_X,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f28144,plain,
( ~ c_in(v_X,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg)
| spl0_36 ),
inference(component_clause,[status(thm)],[f28142]) ).
fof(f28145,plain,
( spl0_37
<=> c_lessequals(v_H,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f28147,plain,
( ~ c_lessequals(v_H,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_37 ),
inference(component_clause,[status(thm)],[f28145]) ).
fof(f28148,plain,
( ~ c_in(v_X,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(v_H,c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f28139,f6124]) ).
fof(f28149,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f28148,f28142,f28145]) ).
fof(f28151,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| spl0_36 ),
inference(resolution,[status(thm)],[f28144,f6057]) ).
fof(f28152,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f28151,f6287]) ).
fof(f28153,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f28152]) ).
fof(f28154,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f28147,f6458]) ).
fof(f28155,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f28154]) ).
fof(f28156,plain,
$false,
inference(sat_refutation,[status(thm)],[f28149,f28153,f28155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV249-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:38:51 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.42 % Drodi V3.5.1
% 6.64/1.40 % Refutation found
% 6.64/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.64/1.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.20/1.46 % Elapsed time: 1.118482 seconds
% 7.20/1.46 % CPU time: 7.424662 seconds
% 7.20/1.46 % Memory used: 252.263 MB
%------------------------------------------------------------------------------