%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:15:29 EDT 2024
% Result : Unsatisfiable 1.38s 1.59s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 11 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; 2 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_OrderedGroup_Opordered__ab__group__add(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(c9,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X16)
| ~ c_lessequals(c_plus(X15,X17,X16),X14,X16)
| c_lessequals(X15,c_minus(X14,X17,X16),X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X6)
| X5 = c_plus(c_minus(X5,X7,X6),X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| class_OrderedGroup_Oab__group__add(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
cnf(c10,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[status(thm)],[c9,clsrel_OrderedGroup_Opordered__ab__group__add_0]) ).
cnf(c11,plain,
X46 = c_plus(c_minus(X46,X47,t_b),X47,t_b),
inference(resolution,[status(thm)],[c10,cls_OrderedGroup_Ocompare__rls__10_0]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(X11),v_f(X11),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c7,axiom,
( X67 != X63
| X66 != X64
| X62 != X65
| ~ c_lessequals(X67,X66,X62)
| c_lessequals(X63,X64,X65) ),
theory(equality) ).
cnf(c51,plain,
( v_k(X256) != X254
| v_f(X256) != X255
| t_b != X253
| c_lessequals(X254,X255,X253) ),
inference(resolution,[status(thm)],[c7,cls_conjecture_1]) ).
cnf(c319,plain,
( v_k(X258) != X259
| t_b != X257
| c_lessequals(X259,v_f(X258),X257) ),
inference(resolution,[status(thm)],[c51,reflexivity]) ).
cnf(c326,plain,
( t_b != X583
| c_lessequals(c_plus(c_minus(v_k(X582),X584,t_b),X584,t_b),v_f(X582),X583) ),
inference(resolution,[status(thm)],[c319,c11]) ).
cnf(c2227,plain,
c_lessequals(c_plus(c_minus(v_k(X586),X585,t_b),X585,t_b),v_f(X586),t_b),
inference(resolution,[status(thm)],[c326,reflexivity]) ).
cnf(c2230,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(v_k(X981),X982,t_b),c_minus(v_f(X981),X982,t_b),t_b) ),
inference(resolution,[status(thm)],[c2227,cls_OrderedGroup_Ocompare__rls__9_1]) ).
cnf(c3556,plain,
c_lessequals(c_minus(v_k(X984),X983,t_b),c_minus(v_f(X984),X983,t_b),t_b),
inference(resolution,[status(thm)],[c2230,c9]) ).
cnf(c3557,plain,
$false,
inference(resolution,[status(thm)],[c3556,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 17:19:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.38/1.59 % Version: 1.5
% 1.38/1.59 % SZS status Unsatisfiable
% 1.38/1.59 % SZS output start CNFRefutation
% See solution above
% 1.38/1.59
% 1.38/1.59 % Initial clauses : 19
% 1.38/1.59 % Processed clauses : 282
% 1.38/1.59 % Factors computed : 20
% 1.38/1.59 % Resolvents computed: 3530
% 1.38/1.59 % Tautologies deleted: 5
% 1.38/1.59 % Forward subsumed : 83
% 1.38/1.59 % Backward subsumed : 36
% 1.38/1.59 % -------- CPU Time ---------
% 1.38/1.59 % User time : 1.215 s
% 1.38/1.59 % System time : 0.019 s
% 1.38/1.59 % Total time : 1.234 s
%------------------------------------------------------------------------------