%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May 9 17:40:16 EDT 2024
% Result : Unsatisfiable 0.46s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 6 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
( X20 != v_x(X20)
| ~ c_in(X20,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Union(X10,t_a),v_S,tc_set(t_a))
| ~ c_in(X10,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Zorn_OHausdorff_0,axiom,
c_in(c_Zorn_OHausdorff__1(X22,X21),c_Zorn_Omaxchain(X22,X21),tc_set(tc_set(X21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X26,X24,X25)
| ~ c_lessequals(X24,X23,tc_set(X25))
| c_in(X26,X23,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
c_lessequals(c_Zorn_Omaxchain(X28,X27),c_Zorn_Ochain(X28,X27),tc_set(tc_set(tc_set(X27)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(c13,plain,
( ~ c_in(X96,c_Zorn_Omaxchain(X95,X94),tc_set(tc_set(X94)))
| c_in(X96,c_Zorn_Ochain(X95,X94),tc_set(tc_set(X94))) ),
inference(resolution,[status(thm)],[cls_Zorn_Omaxchain__subset__chain_0,cls_Set_OsubsetD_0]) ).
cnf(c33,plain,
c_in(c_Zorn_OHausdorff__1(X101,X100),c_Zorn_Ochain(X101,X100),tc_set(tc_set(X100))),
inference(resolution,[status(thm)],[c13,cls_Zorn_OHausdorff_0]) ).
cnf(c34,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[status(thm)],[c33,cls_conjecture_0]) ).
cnf(c36,plain,
c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) != v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
inference(resolution,[status(thm)],[c34,cls_conjecture_3]) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(v_x(X19),v_S,tc_set(t_a))
| ~ c_in(X19,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c39,plain,
c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)),
inference(resolution,[status(thm)],[c34,cls_conjecture_1]) ).
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( ~ c_in(X49,X48,tc_set(X47))
| ~ c_in(X46,c_Zorn_Omaxchain(X48,X47),tc_set(tc_set(X47)))
| ~ c_lessequals(c_Union(X46,X47),X49,tc_set(X47))
| c_Union(X46,X47) = X49 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(c20,plain,
( ~ c_in(X98,X99,tc_set(X97))
| ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X99,X97),X97),X98,tc_set(X97))
| c_Union(c_Zorn_OHausdorff__1(X99,X97),X97) = X98 ),
inference(resolution,[status(thm)],[cls_Zorn_Omaxchain__Zorn_0,cls_Zorn_OHausdorff_0]) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_lessequals(X33,v_x(X33),tc_set(t_a))
| ~ c_in(X33,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c38,plain,
c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a)),
inference(resolution,[status(thm)],[c34,cls_conjecture_2]) ).
cnf(c68,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)) ),
inference(resolution,[status(thm)],[c38,c20]) ).
cnf(c121,plain,
c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
inference(resolution,[status(thm)],[c68,c39]) ).
cnf(c128,plain,
$false,
inference(resolution,[status(thm)],[c121,c36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Wed May 8 18:15:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.46/0.63 % Version: 1.5
% 0.46/0.63 % SZS status Unsatisfiable
% 0.46/0.63 % SZS output start CNFRefutation
% See solution above
% 0.46/0.63
% 0.46/0.63 % Initial clauses : 19
% 0.46/0.63 % Processed clauses : 86
% 0.46/0.63 % Factors computed : 5
% 0.46/0.63 % Resolvents computed: 128
% 0.46/0.63 % Tautologies deleted: 2
% 0.46/0.63 % Forward subsumed : 21
% 0.46/0.63 % Backward subsumed : 1
% 0.46/0.63 % -------- CPU Time ---------
% 0.46/0.63 % User time : 0.269 s
% 0.46/0.63 % System time : 0.018 s
% 0.46/0.63 % Total time : 0.287 s
%------------------------------------------------------------------------------