TSTP Solution File: SET851-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET851-1 : 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 12:35:23 EDT 2023
% Result : Unsatisfiable 0.16s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 61 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1361,axiom,
! [V_x,V_y,T_a,V_S] :
( ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a)))
| c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1363,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1364,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1365,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1366,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1367,negated_conjecture,
! [V_U] :
( c_lessequals(c_Zorn_Osucc(v_S,V_U,t_a),v_m,tc_set(tc_set(t_a)))
| V_U = v_m
| ~ c_lessequals(V_U,v_m,tc_set(tc_set(t_a)))
| ~ c_in(V_U,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1786,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f2849,plain,
! [V_x,V_y,T_a] :
( ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a)))
| ! [V_S] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a))) ),
inference(miniscoping,[status(esa)],[f1361]) ).
fof(f2850,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(esa)],[f2849]) ).
fof(f2852,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1363]) ).
fof(f2853,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1364]) ).
fof(f2854,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1365]) ).
fof(f2855,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[status(esa)],[f1366]) ).
fof(f2856,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| X0 = v_m
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[status(esa)],[f1367]) ).
fof(f2857,plain,
( spl0_0
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f2858,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f2857]) ).
fof(f2860,plain,
( spl0_1
<=> c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f2863,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f2855,f2857,f2860]) ).
fof(f2864,plain,
( spl0_2
<=> v_x = v_m ),
introduced(split_symbol_definition) ).
fof(f2865,plain,
( v_x = v_m
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f2864]) ).
fof(f2867,plain,
( spl0_3
<=> c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f2869,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2870,plain,
( v_x = v_m
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f2856,f2853]) ).
fof(f2871,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f2870,f2864,f2860,f2867]) ).
fof(f2872,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2869,f2852]) ).
fof(f2873,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f2872]) ).
fof(f2876,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[f2850,f2854]) ).
fof(f2909,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2858,f2876]) ).
fof(f2910,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f2909]) ).
fof(f2912,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f2865,f2854]) ).
fof(f2913,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2912,f1786]) ).
fof(f2914,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2915,plain,
$false,
inference(sat_refutation,[status(thm)],[f2863,f2871,f2873,f2910,f2914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET851-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue May 30 10:05:02 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.35 % Drodi V3.5.1
% 0.16/0.36 % Refutation found
% 0.16/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.61 % Elapsed time: 0.070739 seconds
% 0.20/0.61 % CPU time: 0.053522 seconds
% 0.20/0.61 % Memory used: 6.566 MB
%------------------------------------------------------------------------------