%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:15:26 EDT 2024
% Result : Unsatisfiable 10.81s 11.02s
% Output : Refutation 10.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 35 ( 12 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_OrderedGroup_Oab__group__add(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(c9,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(cls_OrderedGroup_Oright__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_plus(X16,c_uminus(X16,X15),X15) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).
cnf(c13,plain,
c_plus(X42,c_uminus(X42,t_b),t_b) = c_0,
inference(resolution,[status(thm)],[cls_OrderedGroup_Oright__minus_0,c9]) ).
cnf(c5,axiom,
( X62 != X58
| X59 != X63
| X60 != X61
| ~ c_lessequals(X62,X59,X60)
| c_lessequals(X58,X63,X61) ),
theory(equality) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(c8,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_37,tfree_tcs]) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ c_lessequals(X7,X5,X6)
| c_lessequals(c_plus(X7,X8,X6),c_plus(X5,X8,X6),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_lb(X12),v_f(X12),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c11,plain,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(c_plus(v_lb(X69),X70,t_b),c_plus(v_f(X69),X70,t_b),t_b) ),
inference(resolution,[status(thm)],[cls_conjecture_0,cls_OrderedGroup_Oadd__le__cancel__right_1]) ).
cnf(c50,plain,
c_lessequals(c_plus(v_lb(X140),X139,t_b),c_plus(v_f(X140),X139,t_b),t_b),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(c213,plain,
( c_plus(v_lb(X1269),X1271,t_b) != X1268
| c_plus(v_f(X1269),X1271,t_b) != X1270
| t_b != X1272
| c_lessequals(X1268,X1270,X1272) ),
inference(resolution,[status(thm)],[c50,c5]) ).
cnf(c11329,plain,
( c_plus(v_lb(X2257),X2254,t_b) != X2256
| t_b != X2255
| c_lessequals(X2256,c_plus(v_f(X2257),X2254,t_b),X2255) ),
inference(resolution,[status(thm)],[c213,reflexivity]) ).
cnf(c26232,plain,
( t_b != X2259
| c_lessequals(c_0,c_plus(v_f(X2258),c_uminus(v_lb(X2258),t_b),t_b),X2259) ),
inference(resolution,[status(thm)],[c11329,c13]) ).
cnf(c26248,plain,
c_lessequals(c_0,c_plus(v_f(X2260),c_uminus(v_lb(X2260),t_b),t_b),t_b),
inference(resolution,[status(thm)],[c26232,reflexivity]) ).
cnf(c26250,plain,
$false,
inference(resolution,[status(thm)],[c26248,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 17:18:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 10.81/11.02 % Version: 1.5
% 10.81/11.02 % SZS status Unsatisfiable
% 10.81/11.02 % SZS output start CNFRefutation
% See solution above
% 10.81/11.02
% 10.81/11.02 % Initial clauses : 18
% 10.81/11.02 % Processed clauses : 795
% 10.81/11.02 % Factors computed : 18
% 10.81/11.02 % Resolvents computed: 26226
% 10.81/11.02 % Tautologies deleted: 5
% 10.81/11.02 % Forward subsumed : 253
% 10.81/11.02 % Backward subsumed : 114
% 10.81/11.02 % -------- CPU Time ---------
% 10.81/11.02 % User time : 10.607 s
% 10.81/11.02 % System time : 0.068 s
% 10.81/11.02 % Total time : 10.675 s
%------------------------------------------------------------------------------