TSTP Solution File: SET845-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n026.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 : Tue Apr 30 20:40:31 EDT 2024
% Result : Unsatisfiable 2.50s 0.72s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 58 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f1365,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f1367,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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(f2851,plain,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1365]) ).
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(f2896,plain,
! [X0] :
( c_less(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,X0,t_a) = v_m
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f1774,f2857]) ).
fof(f2903,plain,
! [X0] :
( c_Zorn_Osucc(v_S,X0,t_a) = v_m
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f2896,f1771]) ).
fof(f2907,plain,
( spl0_2
<=> c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
introduced(split_symbol_definition) ).
fof(f2908,plain,
( c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f2907]) ).
fof(f2910,plain,
( spl0_3
<=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f2912,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f2910]) ).
fof(f2913,plain,
( c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f2903,f2846]) ).
fof(f2914,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f2913,f2907,f2910]) ).
fof(f2916,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2912,f2851]) ).
fof(f2917,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f2916]) ).
fof(f2918,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2908,f2853]) ).
fof(f2919,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f2918]) ).
fof(f2920,plain,
$false,
inference(sat_refutation,[status(thm)],[f2914,f2917,f2919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:47:49 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.38 % Drodi V3.6.0
% 2.50/0.72 % Refutation found
% 2.50/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.50/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.69/0.76 % Elapsed time: 0.397036 seconds
% 2.69/0.76 % CPU time: 2.741681 seconds
% 2.69/0.76 % Total memory used: 135.759 MB
% 2.69/0.76 % Net memory used: 135.415 MB
%------------------------------------------------------------------------------