%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA012-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 0.49s 0.72s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 11 unt; 3 nHn; 18 RR)
% Number of literals : 45 ( 21 equ; 20 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(c9,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_47,tfree_tcs]) ).
cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X10)
| c_HOL_Oabs(X9,X10) != c_0
| X9 = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_1,c_times(X4,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| class_Ring__and__Field_Ofield(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(c8,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( ~ class_Ring__and__Field_Ofield(X19)
| X18 = c_0
| c_times(c_HOL_Oinverse(X18,X19),X18,X19) = c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(c14,plain,
( X78 = c_0
| c_times(c_HOL_Oinverse(X78,t_a),X78,t_a) = c_1 ),
inference(resolution,[status(thm)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,c8]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( ~ class_Ring__and__Field_Oordered__field(X6)
| class_Orderings_Oorder(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(c10,plain,
class_Orderings_Oorder(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_58,tfree_tcs]) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X8)
| c_lessequals(X7,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(c11,plain,
c_lessequals(X11,X11,t_a),
inference(resolution,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0,c10]) ).
cnf(c3,axiom,
( X60 != X59
| X62 != X61
| X64 != X63
| ~ c_lessequals(X60,X62,X64)
| c_lessequals(X59,X61,X63) ),
theory(equality) ).
cnf(c30,plain,
( X74 != X72
| X74 != X71
| t_a != X73
| c_lessequals(X72,X71,X73) ),
inference(resolution,[status(thm)],[c3,c11]) ).
cnf(c34,plain,
( X76 != X75
| X76 != X77
| c_lessequals(X75,X77,t_a) ),
inference(resolution,[status(thm)],[c30,reflexivity]) ).
cnf(c36,plain,
( X81 != X82
| c_lessequals(X82,X81,t_a) ),
inference(resolution,[status(thm)],[c34,reflexivity]) ).
cnf(c68,plain,
( c_lessequals(c_1,c_times(c_HOL_Oinverse(X166,t_a),X166,t_a),t_a)
| X166 = c_0 ),
inference(resolution,[status(thm)],[c36,c14]) ).
cnf(c723,plain,
c_HOL_Oabs(v_c,t_a) = c_0,
inference(resolution,[status(thm)],[c68,cls_conjecture_1]) ).
cnf(c766,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| v_c = c_0 ),
inference(resolution,[status(thm)],[c723,cls_OrderedGroup_Oabs__eq__0_0]) ).
cnf(c811,plain,
v_c = c_0,
inference(resolution,[status(thm)],[c766,c9]) ).
cnf(c824,plain,
$false,
inference(resolution,[status(thm)],[c811,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA012-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 17:18:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.49/0.72 % Version: 1.5
% 0.49/0.72 % SZS status Unsatisfiable
% 0.49/0.72 % SZS output start CNFRefutation
% See solution above
% 0.49/0.72
% 0.49/0.72 % Initial clauses : 20
% 0.49/0.72 % Processed clauses : 89
% 0.49/0.72 % Factors computed : 15
% 0.49/0.72 % Resolvents computed: 816
% 0.49/0.72 % Tautologies deleted: 6
% 0.49/0.72 % Forward subsumed : 39
% 0.49/0.72 % Backward subsumed : 2
% 0.49/0.72 % -------- CPU Time ---------
% 0.49/0.72 % User time : 0.359 s
% 0.49/0.72 % System time : 0.011 s
% 0.49/0.72 % Total time : 0.370 s
%------------------------------------------------------------------------------