TSTP Solution File: SET845-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:35:21 EDT 2023
% Result : Unsatisfiable 1.79s 0.62s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 74 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 31 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,axiom,
! [T_a,V_x] :
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f300,axiom,
! [V_A,V_B,T_a] :
( ~ c_less(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f302,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(f447,axiom,
! [T_1] : class_Orderings_Oorder(tc_set(T_1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,axiom,
! [V_B,V_A,T_a] :
( ~ c_in(V_B,V_A,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1361,axiom,
! [V_x,V_S,T_a] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1362,axiom,
! [V_x,V_S,T_a] :
( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1363,axiom,
! [V_Y,V_S,T_a] :
( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))
| c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1366,negated_conjecture,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1367,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1732,plain,
! [T_a] :
( ~ class_Orderings_Oorder(T_a)
| ! [V_x] : c_lessequals(V_x,V_x,T_a) ),
inference(miniscoping,[status(esa)],[f266]) ).
fof(f1733,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f1732]) ).
fof(f1771,plain,
! [X0,X1,X2] :
( ~ c_less(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f300]) ).
fof(f1773,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)],[f302]) ).
fof(f1774,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)],[f1773]) ).
fof(f1931,plain,
! [X0] : class_Orderings_Oorder(tc_set(X0)),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f2845,plain,
! [X0,X1,X2] :
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f1360]) ).
fof(f2846,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(cnf_transformation,[status(esa)],[f1361]) ).
fof(f2847,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(esa)],[f1362]) ).
fof(f2848,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(esa)],[f1363]) ).
fof(f2852,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f1366]) ).
fof(f2853,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference(cnf_transformation,[status(esa)],[f1367]) ).
fof(f2854,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(paramodulation,[status(thm)],[f2852,f2845]) ).
fof(f2857,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f2847,f2854]) ).
fof(f2859,plain,
! [X0] :
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(tc_set(t_a))))
| c_in(v_m,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a))) ),
inference(paramodulation,[status(thm)],[f2852,f2848]) ).
fof(f4440,plain,
( spl0_17
<=> class_Orderings_Oorder(tc_set(tc_set(tc_set(t_a)))) ),
introduced(split_symbol_definition) ).
fof(f4442,plain,
( ~ class_Orderings_Oorder(tc_set(tc_set(tc_set(t_a))))
| spl0_17 ),
inference(component_clause,[status(thm)],[f4440]) ).
fof(f4443,plain,
( spl0_18
<=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f4446,plain,
( ~ class_Orderings_Oorder(tc_set(tc_set(tc_set(t_a))))
| c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f1733,f2859]) ).
fof(f4447,plain,
( ~ spl0_17
| spl0_18 ),
inference(split_clause,[status(thm)],[f4446,f4440,f4443]) ).
fof(f4462,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f4442,f1931]) ).
fof(f4463,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f4462]) ).
fof(f4868,plain,
! [X0] :
( ~ c_less(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f1771,f2857]) ).
fof(f5115,plain,
! [X0,X1,X2] :
( c_less(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2)))
| X0 = c_Zorn_Osucc(X1,X0,X2) ),
inference(resolution,[status(thm)],[f1774,f2846]) ).
fof(f5742,plain,
( spl0_109
<=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
introduced(split_symbol_definition) ).
fof(f5743,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f5742]) ).
fof(f5745,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f5115,f4868]) ).
fof(f5746,plain,
( spl0_109
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f5745,f5742,f4443]) ).
fof(f5753,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f5743,f2853]) ).
fof(f5754,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f5753]) ).
fof(f5755,plain,
$false,
inference(sat_refutation,[status(thm)],[f4447,f4463,f5746,f5754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:00:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.39 % Drodi V3.5.1
% 1.79/0.62 % Refutation found
% 1.79/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.79/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.79/0.65 % Elapsed time: 0.292905 seconds
% 1.79/0.65 % CPU time: 1.916988 seconds
% 1.79/0.65 % Memory used: 121.634 MB
%------------------------------------------------------------------------------