%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:15:30 EDT 2024
% Result : Unsatisfiable 8.80s 8.96s
% Output : Refutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 11 unt; 10 nHn; 16 RR)
% Number of literals : 60 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
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_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(c2,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(c3,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[c2,clsrel_OrderedGroup_Opordered__ab__group__add_10]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_OrderedGroup_Olordered__ab__group__abs(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c1,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| c_lessequals(c_0,c_HOL_Oabs(X6,X7),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c4,plain,
c_lessequals(c_0,c_HOL_Oabs(X8,t_b),t_b),
inference(resolution,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,c1]) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X43)
| ~ c_lessequals(X42,X41,X43)
| ~ c_lessequals(X40,X42,X43)
| c_lessequals(X40,X41,X43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| class_Orderings_Olinorder(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(c0,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X11)
| c_less(X10,X9,X11)
| c_lessequals(X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(c5,plain,
( c_less(X12,X13,t_b)
| c_lessequals(X13,X12,t_b) ),
inference(resolution,[status(thm)],[cls_Orderings_Olinorder__not__le_0,c0]) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X16)
| ~ c_less(X14,X15,X16)
| c_lessequals(X14,X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c8,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X17,X18,t_b)
| c_lessequals(X18,X17,t_b) ),
inference(resolution,[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,c5]) ).
cnf(c9,plain,
( c_lessequals(X22,X23,t_b)
| c_lessequals(X23,X22,t_b) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(c11,plain,
c_lessequals(X24,X24,t_b),
inference(factor,[status(thm)],[c9]) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X32)
| ~ c_lessequals(X31,X33,X32)
| ~ c_lessequals(X30,X33,X32)
| c_lessequals(c_Orderings_Omax(X30,X31,X32),X33,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(c30,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X165,X164,t_b)
| c_lessequals(c_Orderings_Omax(X163,X165,t_b),X164,t_b)
| c_lessequals(X164,X163,t_b) ),
inference(resolution,[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,c9]) ).
cnf(c419,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_Orderings_Omax(X179,X180,t_b),X180,t_b)
| c_lessequals(X180,X179,t_b) ),
inference(resolution,[status(thm)],[c30,c11]) ).
cnf(c499,plain,
( c_lessequals(c_Orderings_Omax(X181,X182,t_b),X182,t_b)
| c_lessequals(X182,X181,t_b) ),
inference(resolution,[status(thm)],[c419,c0]) ).
cnf(c508,plain,
( c_lessequals(X1261,X1260,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X1261,X1259,t_b)
| c_lessequals(c_Orderings_Omax(X1260,X1261,t_b),X1259,t_b) ),
inference(resolution,[status(thm)],[c499,cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(c12962,plain,
( c_lessequals(c_0,X1943,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_Orderings_Omax(X1943,c_0,t_b),c_HOL_Oabs(X1944,t_b),t_b) ),
inference(resolution,[status(thm)],[c508,c4]) ).
cnf(c20358,plain,
( c_lessequals(c_0,X1946,t_b)
| c_lessequals(c_Orderings_Omax(X1946,c_0,t_b),c_HOL_Oabs(X1945,t_b),t_b) ),
inference(resolution,[status(thm)],[c12962,c3]) ).
cnf(c20426,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
inference(resolution,[status(thm)],[c20358,cls_conjecture_3]) ).
cnf(c20490,plain,
$false,
inference(resolution,[status(thm)],[c20426,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 17:18:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 8.80/8.96 % Version: 1.5
% 8.80/8.96 % SZS status Unsatisfiable
% 8.80/8.96 % SZS output start CNFRefutation
% See solution above
% 8.80/8.96
% 8.80/8.96 % Initial clauses : 14
% 8.80/8.96 % Processed clauses : 607
% 8.80/8.96 % Factors computed : 47
% 8.80/8.96 % Resolvents computed: 20471
% 8.80/8.96 % Tautologies deleted: 2
% 8.80/8.96 % Forward subsumed : 427
% 8.80/8.96 % Backward subsumed : 230
% 8.80/8.96 % -------- CPU Time ---------
% 8.80/8.96 % User time : 8.550 s
% 8.80/8.96 % System time : 0.063 s
% 8.80/8.96 % Total time : 8.613 s
%------------------------------------------------------------------------------