%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA039-2 : 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 17:15:32 EDT 2024
% Result : Unsatisfiable 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 39 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| class_Orderings_Oorder(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(c1,plain,
class_Orderings_Oorder(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_h(X4),t_a),c_times(v_c,c_HOL_Oabs(v_f(X4),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X13)
| ~ c_lessequals(X12,X14,X13)
| ~ c_lessequals(X15,X12,X13)
| c_lessequals(X15,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(c8,plain,
( ~ class_Orderings_Oorder(t_a)
| ~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(X31),t_a),t_a),X32,t_a)
| c_lessequals(c_HOL_Oabs(v_h(X31),t_a),X32,t_a) ),
inference(resolution,[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,cls_conjecture_0]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| class_Ring__and__Field_Opordered__semiring(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(c0,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c2,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(cls_OrderedGroup_Oabs__ge__self_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| c_lessequals(X7,c_HOL_Oabs(X7,X6),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
cnf(c3,plain,
c_lessequals(X8,c_HOL_Oabs(X8,t_a),t_a),
inference(resolution,[status(thm)],[cls_OrderedGroup_Oabs__ge__self_0,c2]) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X9)
| c_lessequals(c_0,c_HOL_Oabs(X10,X9),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c4,plain,
c_lessequals(c_0,c_HOL_Oabs(X11,t_a),t_a),
inference(resolution,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,c2]) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X22)
| ~ c_lessequals(X23,X21,X22)
| ~ c_lessequals(c_0,X24,X22)
| c_lessequals(c_times(X23,X24,X22),c_times(X21,X24,X22),X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(c14,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_a)
| ~ c_lessequals(X49,X47,t_a)
| c_lessequals(c_times(X49,c_HOL_Oabs(X48,t_a),t_a),c_times(X47,c_HOL_Oabs(X48,t_a),t_a),t_a) ),
inference(resolution,[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,c4]) ).
cnf(c58,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_a)
| c_lessequals(c_times(X81,c_HOL_Oabs(X80,t_a),t_a),c_times(c_HOL_Oabs(X81,t_a),c_HOL_Oabs(X80,t_a),t_a),t_a) ),
inference(resolution,[status(thm)],[c14,c3]) ).
cnf(c104,plain,
c_lessequals(c_times(X83,c_HOL_Oabs(X82,t_a),t_a),c_times(c_HOL_Oabs(X83,t_a),c_HOL_Oabs(X82,t_a),t_a),t_a),
inference(resolution,[status(thm)],[c58,c0]) ).
cnf(c105,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_HOL_Oabs(v_h(X91),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(X91),t_a),t_a),t_a) ),
inference(resolution,[status(thm)],[c104,c8]) ).
cnf(c122,plain,
c_lessequals(c_HOL_Oabs(v_h(X92),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(X92),t_a),t_a),t_a),
inference(resolution,[status(thm)],[c105,c1]) ).
cnf(c124,plain,
$false,
inference(resolution,[status(thm)],[c122,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed May 8 17:22:22 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.39/0.60 % Version: 1.5
% 0.39/0.60 % SZS status Unsatisfiable
% 0.39/0.60 % SZS output start CNFRefutation
% See solution above
% 0.39/0.60
% 0.39/0.60 % Initial clauses : 10
% 0.39/0.60 % Processed clauses : 54
% 0.39/0.60 % Factors computed : 2
% 0.39/0.60 % Resolvents computed: 126
% 0.39/0.60 % Tautologies deleted: 1
% 0.39/0.60 % Forward subsumed : 17
% 0.39/0.60 % Backward subsumed : 14
% 0.39/0.60 % -------- CPU Time ---------
% 0.39/0.60 % User time : 0.252 s
% 0.39/0.60 % System time : 0.015 s
% 0.39/0.60 % Total time : 0.267 s
%------------------------------------------------------------------------------