TSTP Solution File: SWV261-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV261-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:41:05 EDT 2023
% Result : Unsatisfiable 121.15s 15.62s
% Output : CNFRefutation 122.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 73 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 67 ( 30 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 102 (; 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1326,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(f1327,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/sandbox/benchmark/theBenchmark.p') ).
fof(f1336,axiom,
! [V_a,V_b,V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a)
| V_a = V_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1398,axiom,
! [V_G,V_H] : c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1399,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/sandbox/benchmark/theBenchmark.p') ).
fof(f1401,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(f1402,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1403,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1544,plain,
! [X0,X1,X2] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f1545,plain,
! [X0,X1,X2] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f110]) ).
fof(f2831,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)],[f1326]) ).
fof(f2832,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f2831]) ).
fof(f2833,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)],[f1327]) ).
fof(f2834,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f2833]) ).
fof(f2848,plain,
! [V_a,V_b] :
( ! [V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a) )
| V_a = V_b ),
inference(miniscoping,[status(esa)],[f1336]) ).
fof(f2849,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f2848]) ).
fof(f2930,plain,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1398]) ).
fof(f2931,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)],[f1399]) ).
fof(f2933,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)],[f1401]) ).
fof(f2934,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)],[f2933]) ).
fof(f2935,plain,
c_in(v_X,v_G,tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1402]) ).
fof(f2936,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1403]) ).
fof(f2963,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Message_Oparts(X0),X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X2),X1,tc_set(tc_Message_Omsg))
| ~ c_lessequals(X2,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2934,f2931]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(X1,X2,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2963,f2930]) ).
fof(f2996,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f2993,f2936]) ).
fof(f29423,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0 ),
inference(resolution,[status(thm)],[f1544,f2849]) ).
fof(f29540,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
inference(resolution,[status(thm)],[f1545,f2834]) ).
fof(f29541,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ),
inference(resolution,[status(thm)],[f1545,f2832]) ).
fof(f49418,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2) = X0 ),
inference(resolution,[status(thm)],[f29541,f29423]) ).
fof(f49419,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2) = X0 ),
inference(duplicate_literals_removal,[status(esa)],[f49418]) ).
fof(f51301,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| ~ c_in(X0,X3,X2)
| c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2)) ),
inference(paramodulation,[status(thm)],[f49419,f29540]) ).
fof(f51302,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| ~ c_in(X0,X3,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f51301]) ).
fof(f51333,plain,
~ c_in(v_X,v_G,tc_Message_Omsg),
inference(resolution,[status(thm)],[f51302,f2996]) ).
fof(f51334,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f51333,f2935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV261-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n023.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 12:01:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % Drodi V3.5.1
% 121.15/15.62 % Refutation found
% 121.15/15.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 121.15/15.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 126.18/16.92 % Elapsed time: 16.369705 seconds
% 126.18/16.92 % CPU time: 111.555205 seconds
% 126.18/16.92 % Memory used: 942.620 MB
%------------------------------------------------------------------------------