%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:40:12 EDT 2024
% Result : Unsatisfiable 3.14s 3.37s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 16 unt; 4 nHn; 23 RR)
% Number of literals : 62 ( 40 equ; 28 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,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',cls_conjecture_4) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X4,X4,tc_set(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c3,axiom,
( X44 != X47
| X43 != X46
| X45 != X48
| ~ c_lessequals(X44,X43,X45)
| c_lessequals(X47,X46,X48) ),
theory(equality) ).
cnf(c66,plain,
( X52 != X53
| X52 != X54
| tc_set(X51) != X55
| c_lessequals(X53,X54,X55) ),
inference(resolution,[status(thm)],[c3,cls_Set_Osubset__refl_0]) ).
cnf(c70,plain,
( X58 != X59
| X58 != X57
| c_lessequals(X59,X57,tc_set(X56)) ),
inference(resolution,[status(thm)],[c66,reflexivity]) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,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',cls_conjecture_2) ).
cnf(cls_Zorn_OTFin__subsetD_0,axiom,
( ~ c_in(X10,c_Zorn_OTFin(X8,X11),tc_set(tc_set(X11)))
| ~ c_in(X9,c_Zorn_OTFin(X8,X11),tc_set(tc_set(X11)))
| ~ c_lessequals(X10,X9,tc_set(tc_set(X11)))
| c_lessequals(c_Zorn_Osucc(X8,X10,X11),X9,tc_set(tc_set(X11)))
| X10 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c13,plain,
( ~ c_in(X91,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X91,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X91,t_a),v_m,tc_set(tc_set(t_a)))
| X91 = v_m ),
inference(resolution,[status(thm)],[cls_conjecture_0,cls_Zorn_OTFin__subsetD_0]) ).
cnf(c101,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))
| v_x = v_m ),
inference(resolution,[status(thm)],[c13,cls_conjecture_2]) ).
cnf(c1511,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))
| v_x = v_m ),
inference(resolution,[status(thm)],[c101,cls_conjecture_3]) ).
cnf(c3535,plain,
v_x = v_m,
inference(resolution,[status(thm)],[c1511,cls_conjecture_4]) ).
cnf(c3637,plain,
( v_x != X696
| c_lessequals(X696,v_m,tc_set(X697)) ),
inference(resolution,[status(thm)],[c3535,c70]) ).
cnf(symmetry,axiom,
( X6 != X5
| X5 = X6 ),
theory(equality) ).
cnf(transitivity,axiom,
( X13 != X12
| X12 != X14
| X13 = X14 ),
theory(equality) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c6,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
inference(resolution,[status(thm)],[cls_conjecture_1,symmetry]) ).
cnf(c3617,plain,
v_m = v_x,
inference(resolution,[status(thm)],[c3535,symmetry]) ).
cnf(c3674,plain,
( X689 != v_m
| X689 = v_x ),
inference(resolution,[status(thm)],[c3617,transitivity]) ).
cnf(c3909,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_x,
inference(resolution,[status(thm)],[c3674,c6]) ).
cnf(c4186,plain,
( X795 != c_Zorn_Osucc(v_S,v_m,t_a)
| X795 = v_x ),
inference(resolution,[status(thm)],[c3909,transitivity]) ).
cnf(c2,axiom,
( X36 != X39
| X35 != X38
| X37 != X40
| c_Zorn_Osucc(X36,X35,X37) = c_Zorn_Osucc(X39,X38,X40) ),
theory(equality) ).
cnf(c49,plain,
( X147 != X148
| X146 != X144
| c_Zorn_Osucc(X147,X146,X145) = c_Zorn_Osucc(X148,X144,X145) ),
inference(resolution,[status(thm)],[c2,reflexivity]) ).
cnf(c3612,plain,
( X941 != X939
| c_Zorn_Osucc(X941,v_x,X940) = c_Zorn_Osucc(X939,v_m,X940) ),
inference(resolution,[status(thm)],[c3535,c49]) ).
cnf(c8667,plain,
c_Zorn_Osucc(X943,v_x,X944) = c_Zorn_Osucc(X943,v_m,X944),
inference(resolution,[status(thm)],[c3612,reflexivity]) ).
cnf(c8781,plain,
c_Zorn_Osucc(v_S,v_x,t_a) = v_x,
inference(resolution,[status(thm)],[c8667,c4186]) ).
cnf(c8881,plain,
v_x = c_Zorn_Osucc(v_S,v_x,t_a),
inference(resolution,[status(thm)],[c8781,symmetry]) ).
cnf(c8972,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(X957)),
inference(resolution,[status(thm)],[c8881,c3637]) ).
cnf(c9359,plain,
$false,
inference(resolution,[status(thm)],[c8972,cls_conjecture_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 18:32:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 3.14/3.37 % Version: 1.5
% 3.14/3.37 % SZS status Unsatisfiable
% 3.14/3.37 % SZS output start CNFRefutation
% See solution above
% 3.14/3.37
% 3.14/3.37 % Initial clauses : 15
% 3.14/3.37 % Processed clauses : 345
% 3.14/3.37 % Factors computed : 26
% 3.14/3.37 % Resolvents computed: 9329
% 3.14/3.37 % Tautologies deleted: 2
% 3.14/3.37 % Forward subsumed : 383
% 3.14/3.37 % Backward subsumed : 29
% 3.14/3.37 % -------- CPU Time ---------
% 3.14/3.37 % User time : 2.970 s
% 3.14/3.37 % System time : 0.033 s
% 3.14/3.37 % Total time : 3.003 s
%------------------------------------------------------------------------------