TSTP Solution File: SET843-2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 7.98s 8.16s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 13 unt; 6 nHn; 28 RR)
% Number of literals : 69 ( 38 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 56 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry,axiom,
( X5 != X6
| X6 = X5 ),
theory(equality) ).
cnf(transitivity,axiom,
( X9 != X10
| X10 != X8
| X9 = X8 ),
theory(equality) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c55,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m ),
inference(resolution,[status(thm)],[cls_conjecture_2,symmetry]) ).
cnf(c209,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| X362 != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| X362 = v_m ),
inference(resolution,[status(thm)],[c55,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X22,c_Zorn_Osucc(X20,X22,X21),tc_set(tc_set(X21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(c5,axiom,
( X75 != X78
| X77 != X76
| X79 != X80
| ~ c_lessequals(X75,X77,X79)
| c_lessequals(X78,X76,X80) ),
theory(equality) ).
cnf(c32,plain,
( X168 != X167
| c_Zorn_Osucc(X166,X168,X165) != X169
| tc_set(tc_set(X165)) != X164
| c_lessequals(X167,X169,X164) ),
inference(resolution,[status(thm)],[c5,cls_Zorn_OAbrial__axiom1_0]) ).
cnf(c110,plain,
( X173 != X174
| tc_set(tc_set(X171)) != X170
| c_lessequals(X174,c_Zorn_Osucc(X172,X173,X171),X170) ),
inference(resolution,[status(thm)],[c32,reflexivity]) ).
cnf(c112,plain,
( X175 != X178
| c_lessequals(X178,c_Zorn_Osucc(X177,X175,X176),tc_set(tc_set(X176))) ),
inference(resolution,[status(thm)],[c110,reflexivity]) ).
cnf(c113,plain,
( c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(X596,v_m,X597),tc_set(tc_set(X597)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(resolution,[status(thm)],[c112,cls_conjecture_2]) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X23,X24,tc_set(X25))
| ~ c_lessequals(X24,X23,tc_set(X25))
| X24 = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(X11,X12,tc_set(X13))
| c_lessequals(X11,c_Union(X12,X13),tc_set(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
( ~ c_in(X38,c_Zorn_OTFin(X36,X37),tc_set(tc_set(X37)))
| c_in(c_Zorn_Osucc(X36,X38,X37),c_Zorn_OTFin(X36,X37),tc_set(tc_set(X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(c17,plain,
c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[cls_Zorn_OTFin_OsuccI_0,cls_conjecture_0]) ).
cnf(c96,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c17,cls_Set_OUnion__upper_0]) ).
cnf(c211,plain,
( ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,v_m,t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[c96,cls_Set_Osubset__antisym_0]) ).
cnf(c16857,plain,
( c_Zorn_Osucc(v_S,v_m,t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(resolution,[status(thm)],[c211,c113]) ).
cnf(c17299,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
inference(resolution,[status(thm)],[c16857,c209]) ).
cnf(c17534,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(resolution,[status(thm)],[c17299,symmetry]) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| v_m != c_Zorn_Osucc(v_S,v_m,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c13,plain,
c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[cls_conjecture_0,cls_Set_OUnion__upper_0]) ).
cnf(c84,plain,
( ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[c13,cls_Set_Osubset__antisym_0]) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X4,X4,tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X53,c_Zorn_OTFin(X51,X52),tc_set(tc_set(tc_set(X52))))
| c_in(c_Union(X53,tc_set(X52)),c_Zorn_OTFin(X51,X52),tc_set(tc_set(X52))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c22,plain,
c_in(c_Union(c_Zorn_OTFin(X61,X60),tc_set(X60)),c_Zorn_OTFin(X61,X60),tc_set(tc_set(X60))),
inference(resolution,[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(cls_Zorn_Oeq__succ__upper_0,axiom,
( ~ c_in(X68,c_Zorn_OTFin(X65,X66),tc_set(tc_set(X66)))
| ~ c_in(X67,c_Zorn_OTFin(X65,X66),tc_set(tc_set(X66)))
| X68 != c_Zorn_Osucc(X65,X68,X66)
| c_lessequals(X67,X68,tc_set(tc_set(X66))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
cnf(c27,plain,
( ~ c_in(X197,c_Zorn_OTFin(X196,X198),tc_set(tc_set(X198)))
| X197 != c_Zorn_Osucc(X196,X197,X198)
| c_lessequals(c_Union(c_Zorn_OTFin(X196,X198),tc_set(X198)),X197,tc_set(tc_set(X198))) ),
inference(resolution,[status(thm)],[cls_Zorn_Oeq__succ__upper_0,c22]) ).
cnf(c124,plain,
( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
| c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c27,cls_conjecture_0]) ).
cnf(c17696,plain,
c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c17534,c124]) ).
cnf(c19879,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(resolution,[status(thm)],[c17696,c84]) ).
cnf(c19913,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference(resolution,[status(thm)],[c19879,cls_conjecture_1]) ).
cnf(c19924,plain,
$false,
inference(resolution,[status(thm)],[c19913,c17534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:29:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 7.98/8.16 % Version: 1.5
% 7.98/8.16 % SZS status Unsatisfiable
% 7.98/8.16 % SZS output start CNFRefutation
% See solution above
% 7.98/8.16
% 7.98/8.16 % Initial clauses : 19
% 7.98/8.16 % Processed clauses : 432
% 7.98/8.16 % Factors computed : 23
% 7.98/8.16 % Resolvents computed: 19896
% 7.98/8.16 % Tautologies deleted: 3
% 7.98/8.16 % Forward subsumed : 437
% 7.98/8.16 % Backward subsumed : 207
% 7.98/8.16 % -------- CPU Time ---------
% 7.98/8.16 % User time : 7.705 s
% 7.98/8.16 % System time : 0.092 s
% 7.98/8.16 % Total time : 7.797 s
%------------------------------------------------------------------------------