%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET846-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:40:13 EDT 2024
% Result : Unsatisfiable 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(X6,X4,tc_set(X5))
| c_lessequals(X6,c_Union(X4,X5),tc_set(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
( ~ c_in(X7,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| c_in(c_Zorn_Osucc(X8,X7,X9),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X2,X2,tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X10,c_Zorn_OTFin(X12,X11),tc_set(tc_set(tc_set(X11))))
| c_in(c_Union(X10,tc_set(X11)),c_Zorn_OTFin(X12,X11),tc_set(tc_set(X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c0,plain,
c_in(c_Union(c_Zorn_OTFin(X14,X13),tc_set(X13)),c_Zorn_OTFin(X14,X13),tc_set(tc_set(X13))),
inference(resolution,[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(c2,plain,
c_in(c_Zorn_Osucc(X16,c_Union(c_Zorn_OTFin(X16,X15),tc_set(X15)),X15),c_Zorn_OTFin(X16,X15),tc_set(tc_set(X15))),
inference(resolution,[status(thm)],[c0,cls_Zorn_OTFin_OsuccI_0]) ).
cnf(c3,plain,
c_lessequals(c_Zorn_Osucc(X22,c_Union(c_Zorn_OTFin(X22,X21),tc_set(X21)),X21),c_Union(c_Zorn_OTFin(X22,X21),tc_set(X21)),tc_set(tc_set(X21))),
inference(resolution,[status(thm)],[c2,cls_Set_OUnion__upper_0]) ).
cnf(c7,plain,
$false,
inference(resolution,[status(thm)],[c3,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET846-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed May 8 19:28:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.55 % Version: 1.5
% 0.23/0.55 % SZS status Unsatisfiable
% 0.23/0.55 % SZS output start CNFRefutation
% See solution above
% 0.23/0.55
% 0.23/0.55 % Initial clauses : 5
% 0.23/0.55 % Processed clauses : 9
% 0.23/0.55 % Factors computed : 0
% 0.23/0.55 % Resolvents computed: 8
% 0.23/0.55 % Tautologies deleted: 0
% 0.23/0.55 % Forward subsumed : 1
% 0.23/0.55 % Backward subsumed : 0
% 0.23/0.55 % -------- CPU Time ---------
% 0.23/0.55 % User time : 0.159 s
% 0.23/0.55 % System time : 0.018 s
% 0.23/0.55 % Total time : 0.177 s
%------------------------------------------------------------------------------