%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:44:31 EDT 2024
% Result : Unsatisfiable 0.47s 0.67s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 10 RR)
% Number of literals : 36 ( 30 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 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 : 42 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Oempty__not__insert_0,axiom,
c_emptyset != c_insert(X14,X13,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).
cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
c_SetInterval_OatLeastLessThan(X18,c_Suc(X18),tc_nat) = c_insert(X18,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__singleton_0) ).
cnf(transitivity,axiom,
( X23 != X22
| X22 != X24
| X23 = X24 ),
theory(equality) ).
cnf(c17,plain,
( X106 != c_SetInterval_OatLeastLessThan(X105,c_Suc(X105),tc_nat)
| X106 = c_insert(X105,c_emptyset,tc_nat) ),
inference(resolution,[status(thm)],[transitivity,cls_SetInterval_OatLeastLessThan__singleton_0]) ).
cnf(symmetry,axiom,
( X6 != X5
| X5 = X6 ),
theory(equality) ).
cnf(clsarity_nat_3,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(X4,v_x(X4),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
( ~ class_Orderings_Oorder(X7)
| ~ c_lessequals(X9,X8,X7)
| c_SetInterval_OatLeastLessThan(X8,X9,X7) = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__empty_0) ).
cnf(c8,plain,
( ~ class_Orderings_Oorder(tc_nat)
| c_SetInterval_OatLeastLessThan(v_x(X86),X86,tc_nat) = c_emptyset ),
inference(resolution,[status(thm)],[cls_SetInterval_OatLeastLessThan__empty_0,cls_conjecture_0]) ).
cnf(c71,plain,
c_SetInterval_OatLeastLessThan(v_x(X90),X90,tc_nat) = c_emptyset,
inference(resolution,[status(thm)],[c8,clsarity_nat_3]) ).
cnf(c74,plain,
( X122 != c_SetInterval_OatLeastLessThan(v_x(X121),X121,tc_nat)
| X122 = c_emptyset ),
inference(resolution,[status(thm)],[c71,transitivity]) ).
cnf(cls_conjecture_1,negated_conjecture,
v_x(X3) = v_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c7,plain,
v_nat = v_x(X11),
inference(resolution,[status(thm)],[symmetry,cls_conjecture_1]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X30 != X31
| X29 != X28
| X26 != X27
| c_SetInterval_OatLeastLessThan(X30,X29,X26) = c_SetInterval_OatLeastLessThan(X31,X28,X27) ),
theory(equality) ).
cnf(c22,plain,
( X141 != X140
| X142 != X138
| c_SetInterval_OatLeastLessThan(X141,X142,X139) = c_SetInterval_OatLeastLessThan(X140,X138,X139) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c188,plain,
( X187 != X186
| c_SetInterval_OatLeastLessThan(X187,X189,X188) = c_SetInterval_OatLeastLessThan(X186,X189,X188) ),
inference(resolution,[status(thm)],[c22,reflexivity]) ).
cnf(c365,plain,
c_SetInterval_OatLeastLessThan(v_nat,X201,X200) = c_SetInterval_OatLeastLessThan(v_x(X199),X201,X200),
inference(resolution,[status(thm)],[c188,c7]) ).
cnf(c412,plain,
c_SetInterval_OatLeastLessThan(v_nat,X202,tc_nat) = c_emptyset,
inference(resolution,[status(thm)],[c365,c74]) ).
cnf(c429,plain,
c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X203,tc_nat),
inference(resolution,[status(thm)],[c412,symmetry]) ).
cnf(c443,plain,
c_emptyset = c_insert(v_nat,c_emptyset,tc_nat),
inference(resolution,[status(thm)],[c429,c17]) ).
cnf(c486,plain,
$false,
inference(resolution,[status(thm)],[c443,cls_Set_Oempty__not__insert_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n025.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 : Thu May 9 06:15:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.47/0.67 % Version: 1.5
% 0.47/0.67 % SZS status Unsatisfiable
% 0.47/0.67 % SZS output start CNFRefutation
% See solution above
% 0.47/0.67
% 0.47/0.67 % Initial clauses : 15
% 0.47/0.67 % Processed clauses : 69
% 0.47/0.67 % Factors computed : 12
% 0.47/0.67 % Resolvents computed: 477
% 0.47/0.67 % Tautologies deleted: 3
% 0.47/0.67 % Forward subsumed : 43
% 0.47/0.67 % Backward subsumed : 5
% 0.47/0.67 % -------- CPU Time ---------
% 0.47/0.67 % User time : 0.293 s
% 0.47/0.67 % System time : 0.015 s
% 0.47/0.67 % Total time : 0.308 s
%------------------------------------------------------------------------------